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10
src/bin/a.cc
10
src/bin/a.cc
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@ -470,16 +470,10 @@ void prep() {
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// __attribute__((target("popcnt")))
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void solve() {
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read(int, n);
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readvec(int, a, n);
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vector<int> cnt(n + 1);
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for (int i = 0; i < n; ++i) {
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cnt[a[i]] += 1;
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}
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int mx = 0;
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for (int i = 1; i <= n; ++i) {
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if (cnt[i]) chmax(mx, cnt[i]);
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cout << i + i - 1 << ' ';
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}
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cout << n - mx << '\n';
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cout << '\n';
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}
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int main() {
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42
src/bin/b.cc
42
src/bin/b.cc
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@ -469,39 +469,21 @@ void prep() {
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// __attribute__((target("popcnt")))
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void solve() {
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constexpr ll P = 41028650506964539LL;
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using mll = MLL<P>;
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read(int, n);
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vector<mll> pw(n + 1);
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pw[0] = 1;
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for (int i = 1; i <= n; ++i) {
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pw[i] = pw[i - 1] * 2;
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}
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readvec(int, a, n);
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ll sum = accumulate(a.begin(), a.end(), ll(0));
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auto work = [&] (ll target) -> optional<ll> {
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mll d1 = 0;
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for (int i = 0; i < n; ++i) {
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d1 -= pw[i] * (target - a[i]);
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read(string, a);
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int n = a.size();
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vector<int> prev(26, -1);
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for (int i = 0; i < n; ++i) {
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if (prev[a[i] - 'a'] != -1 and (i - prev[a[i] - 'a']) % 2 == 1) {
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cout << a.substr(prev[a[i] - 'a'], i - prev[a[i] - 'a'] + 1) << '\n';
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return;
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}
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d1 /= pw[n] - 1;
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};
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ll l = 0, r = sum / n;
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while (l < r) {
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ll mid = l + r + 1 >> 1;
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if (work(mid)) {
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l = mid;
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} else {
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r = mid - 1;
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if (i >= 2 and a[i] != a[i - 1] and a[i - 1] != a[i - 2] and a[i] != a[i - 2]) {
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cout << a.substr(i - 2, 3) << '\n';
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return;
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}
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prev[a[i] - 'a'] = i;
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}
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auto res = work(l);
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if (res) {
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cout << *res << '\n';
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} else {
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cout << -1 << '\n';
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}
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cout << -1 << '\n';
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}
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int main() {
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164
src/bin/c1.cc
164
src/bin/c1.cc
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@ -1,9 +1,6 @@
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#pragma GCC optimize("Ofast")
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/////////////////////////////////////////////////////////
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/**
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* This code should require C++14.
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* However, it's only been tested with C++17.
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*/
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// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
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#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
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/************* This code requires C++17. ***************/
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#include<bits/stdc++.h>
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using namespace std;
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@ -23,47 +20,22 @@ using ull = uint64_t;
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#else
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using ll = long long;
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using ull = unsigned long long;
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using ld = long double;
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#endif
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using int128 = __int128_t;
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using uint128 = __uint128_t;
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using ld = long double;
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using pii = pair<int, int>;
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using pil = pair<int, ll>;
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using pli = pair<ll, int>;
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using pll = pair<ll, ll>;
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using pid = pair<int, ld>;
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using pdi = pair<ld, int>;
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using pld = pair<ll, ld>;
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using pdl = pair<ld, ll>;
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using pdd = pair<ld, ld>;
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using tlll = tuple<ll, ll, ll>;
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using tlld = tuple<ll, ll, ld>;
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using tlli = tuple<ll, ll, int>;
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using tldl = tuple<ll, ld, ll>;
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using tldd = tuple<ll, ld, ld>;
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using tldi = tuple<ll, ld, int>;
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using tlil = tuple<ll, int, ll>;
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using tlid = tuple<ll, int, ld>;
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using tlii = tuple<ll, int, int>;
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using tdll = tuple<ld, ll, ll>;
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using tdld = tuple<ld, ll, ld>;
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using tdli = tuple<ld, ll, int>;
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using tddl = tuple<ld, ld, ll>;
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using tddd = tuple<ld, ld, ld>;
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using tddi = tuple<ld, ld, int>;
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using tdil = tuple<ld, int, ll>;
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using tdid = tuple<ld, int, ld>;
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using tdii = tuple<ld, int, int>;
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using till = tuple<int, ll, ll>;
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using tild = tuple<int, ll, ld>;
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using tili = tuple<int, ll, int>;
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using tidl = tuple<int, ld, ll>;
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using tidd = tuple<int, ld, ld>;
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using tidi = tuple<int, ld, int>;
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using tiil = tuple<int, int, ll>;
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using tiid = tuple<int, int, ld>;
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using tiii = tuple<int, int, int>;
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using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
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using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
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using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
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using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
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using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
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using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
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using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
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using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
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using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
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using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
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using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
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using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
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template <typename T> using max_heap = priority_queue<T>;
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template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
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template <typename T> using oi = ostream_iterator<T>;
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@ -83,7 +55,7 @@ constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
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/* random */
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mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
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mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
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/* bit-wise operations */
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#define lowbit(x) ((x) & -(x))
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@ -176,13 +148,11 @@ struct array_hash {
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#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
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#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
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#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
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#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
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#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
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#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
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#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
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#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
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#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
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#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
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#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
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#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
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template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
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set<T> st(__first, __last);
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size_t N = 0;
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@ -200,17 +170,6 @@ template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, s
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/* io */
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#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
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template<typename T> void __read(T& x) { cin >> x; }
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template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
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#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
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#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
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#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
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#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
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#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
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#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
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#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
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#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
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#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
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template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
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return in >> p.first >> p.second;
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}
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@ -256,6 +215,18 @@ std::ostream& operator<<(std::ostream& dest, const int128& value) {
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}
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return dest;
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}
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template<typename T> void __read(T& x) { cin >> x; }
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template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
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#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
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#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
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#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
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#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
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#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
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#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
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#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
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#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
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#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
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#define deb(...) debug(make_tuple(__VA_ARGS__))
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/* pops */
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#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
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@ -273,6 +244,7 @@ return_t qpow(ll b, ll p) {
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}
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#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
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#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
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constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
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@ -392,46 +364,39 @@ template <ll mdl> struct MLL {
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void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
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void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
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};
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struct MLLd {
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ll val, mdl;
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MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
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MLLd(const MLLd& other) : mdl(other.mdl), val(other.val) {}
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friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val + rhs.val, lhs.mdl)); }
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friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val - rhs.val, lhs.mdl)); }
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friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val * rhs.val, lhs.mdl)); }
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friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl)); }
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friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val - (lhs / rhs).val, lhs.mdl)); }
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friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
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friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
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void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
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void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
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void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
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void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
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void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
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};
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template <ll mdl>
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ostream& operator<<(ostream& out, const MLL<mdl>& num) {
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return out << num.val;
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}
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ostream& operator<<(ostream& out, const MLLd& num) {
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return out << num.val;
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}
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template <ll mdl>
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istream& operator>>(istream& in, MLL<mdl>& num) {
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return in >> num.val;
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}
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istream& operator>>(istream& in, MLLd& num) {
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return in >> num.val;
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// miscancellous
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template <typename T, typename U>
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bool chmax(T& lhs, const U& rhs) {
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bool ret = lhs < rhs;
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if (ret) {
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lhs = rhs;
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}
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return ret;
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}
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template <typename T, typename U>
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bool chmin(T& lhs, const U& rhs) {
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bool ret = lhs > rhs;
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if (ret) {
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lhs = rhs;
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}
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return ret;
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}
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|
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// miscancellous
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#define functor(func) [&](auto&&... val) \
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#define functor(func) ([&](auto&&... val) \
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noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
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{return func(std::forward<decltype(val)>(val)...);}
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{return func(std::forward<decltype(val)>(val)...);})
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#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
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template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
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std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
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}
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@ -476,7 +441,20 @@ public:
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template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
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return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
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}
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/////////////////////////////////////////////////////////
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#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
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namespace detail {
|
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template <typename T, std::size_t...Is>
|
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constexpr std::array<T, sizeof...(Is)>
|
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make_array(const T& value, std::index_sequence<Is...>) {
|
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return {{(static_cast<void>(Is), value)...}};
|
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}
|
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}
|
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|
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template <typename T, std::size_t N>
|
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constexpr std::array<T, N> __initarray(const T& value) {
|
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return detail::make_array(value, std::make_index_sequence<N>());
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}
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/*******************************************************/
|
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|
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// #define SINGLE_TEST_CASE
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// #define DUMP_TEST_CASE 7219
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|
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@ -489,14 +467,14 @@ void dump_ignore() {}
|
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void prep() {
|
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}
|
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|
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// __attribute__((target("popcnt")))
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void solve() {
|
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read(int, n);
|
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readvec(ll, a, n);
|
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vector<ll> ps(n + 1);
|
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partial_sum(a.begin(), a.end(), ps.begin() + 1);
|
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ll res = 0;
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for (int i = 0; i <= n; ++i) {
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res = max(res, abs(ps[i]) + ps[n] - ps[i]);
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read(int, x);
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read(ll, m);
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int res = 0;
|
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for (int i = 1; i < x; ++i) {
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int y = x xor i;
|
||||
if (y <= m and (y % i == 0 or x % i == 0)) res += 1;
|
||||
}
|
||||
cout << res << '\n';
|
||||
}
|
||||
|
|
|
|||
207
src/bin/c2.cc
207
src/bin/c2.cc
|
|
@ -1,9 +1,6 @@
|
|||
#pragma GCC optimize("Ofast")
|
||||
/////////////////////////////////////////////////////////
|
||||
/**
|
||||
* This code should require C++14.
|
||||
* However, it's only been tested with C++17.
|
||||
*/
|
||||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
|
@ -23,47 +20,22 @@ using ull = uint64_t;
|
|||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
using ld = long double;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>;
|
||||
using pil = pair<int, ll>;
|
||||
using pli = pair<ll, int>;
|
||||
using pll = pair<ll, ll>;
|
||||
using pid = pair<int, ld>;
|
||||
using pdi = pair<ld, int>;
|
||||
using pld = pair<ll, ld>;
|
||||
using pdl = pair<ld, ll>;
|
||||
using pdd = pair<ld, ld>;
|
||||
using tlll = tuple<ll, ll, ll>;
|
||||
using tlld = tuple<ll, ll, ld>;
|
||||
using tlli = tuple<ll, ll, int>;
|
||||
using tldl = tuple<ll, ld, ll>;
|
||||
using tldd = tuple<ll, ld, ld>;
|
||||
using tldi = tuple<ll, ld, int>;
|
||||
using tlil = tuple<ll, int, ll>;
|
||||
using tlid = tuple<ll, int, ld>;
|
||||
using tlii = tuple<ll, int, int>;
|
||||
using tdll = tuple<ld, ll, ll>;
|
||||
using tdld = tuple<ld, ll, ld>;
|
||||
using tdli = tuple<ld, ll, int>;
|
||||
using tddl = tuple<ld, ld, ll>;
|
||||
using tddd = tuple<ld, ld, ld>;
|
||||
using tddi = tuple<ld, ld, int>;
|
||||
using tdil = tuple<ld, int, ll>;
|
||||
using tdid = tuple<ld, int, ld>;
|
||||
using tdii = tuple<ld, int, int>;
|
||||
using till = tuple<int, ll, ll>;
|
||||
using tild = tuple<int, ll, ld>;
|
||||
using tili = tuple<int, ll, int>;
|
||||
using tidl = tuple<int, ld, ll>;
|
||||
using tidd = tuple<int, ld, ld>;
|
||||
using tidi = tuple<int, ld, int>;
|
||||
using tiil = tuple<int, int, ll>;
|
||||
using tiid = tuple<int, int, ld>;
|
||||
using tiii = tuple<int, int, int>;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
|
|
@ -83,7 +55,7 @@ constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
|||
|
||||
/* random */
|
||||
|
||||
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
|
|
@ -176,13 +148,11 @@ struct array_hash {
|
|||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
|
||||
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w), ch[v].emplace_back(u, w);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, w) __AS_PROCEDURE(ch[u].emplace_back(v, w);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
|
|
@ -200,17 +170,6 @@ template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, s
|
|||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
|
|
@ -256,6 +215,18 @@ std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
|||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
|
|
@ -273,6 +244,7 @@ return_t qpow(ll b, ll p) {
|
|||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
|
|
@ -392,46 +364,39 @@ template <ll mdl> struct MLL {
|
|||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
struct MLLd {
|
||||
ll val, mdl;
|
||||
MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
|
||||
MLLd(const MLLd& other) : mdl(other.mdl), val(other.val) {}
|
||||
friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val + rhs.val, lhs.mdl)); }
|
||||
friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val - rhs.val, lhs.mdl)); }
|
||||
friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val * rhs.val, lhs.mdl)); }
|
||||
friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val * mod(inverse(rhs.val, lhs.mdl), lhs.mdl), lhs.mdl)); }
|
||||
friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return MLLd(lhs.mdl, mod(lhs.val - (lhs / rhs).val, lhs.mdl)); }
|
||||
friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
ostream& operator<<(ostream& out, const MLLd& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
istream& operator>>(istream& in, MLLd& num) {
|
||||
return in >> num.val;
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
#define functor(func) [&](auto&&... val) \
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);}
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
|
|
@ -476,7 +441,20 @@ public:
|
|||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
/////////////////////////////////////////////////////////
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
// #define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
|
|
@ -486,40 +464,39 @@ void dump() {}
|
|||
|
||||
void dump_ignore() {}
|
||||
|
||||
using mll = MLL<PRIME>;
|
||||
constexpr int N = 3e5 + 10;
|
||||
mll pw[N];
|
||||
|
||||
void prep() {
|
||||
pw[0] = 1;
|
||||
for (int i = 1; i < N; ++i) {
|
||||
pw[i] = pw[i - 1] * 2;
|
||||
}
|
||||
}
|
||||
|
||||
__attribute__((target("lzcnt")))
|
||||
void solve() {
|
||||
read(int, n);
|
||||
readvec(ll, a, n);
|
||||
vector<ll> ps(n + 1);
|
||||
vector<int> cnt(n + 1);
|
||||
partial_sum(a.begin(), a.end(), ps.begin() + 1);
|
||||
partial_sum(ps.begin(), ps.end(), cnt.begin(), [] (int a, ll b) { return a + (b >= 0); });
|
||||
vector<ll> c;
|
||||
for (int i = 0; i <= n; ++i) {
|
||||
c.emplace_back(abs(ps[i]) + ps[n] - ps[i]);
|
||||
read(int, x);
|
||||
read(ll, m);
|
||||
ll res = 0;
|
||||
for (int i = 1; i <= min<ll>(m, x); ++i) {
|
||||
int z = x xor i;
|
||||
if (z % x == 0 or z % i == 0) {
|
||||
res += 1;
|
||||
}
|
||||
}
|
||||
// debug(c);
|
||||
ll target = *max_element(c.begin(), c.end());
|
||||
mll res = 0;
|
||||
int f = 0;
|
||||
for (int i = 0; i <= n; ++i) {
|
||||
if (c[i] != target or ps[i] >= 0) continue;
|
||||
f = 1;
|
||||
res += pw[cnt[i] + n - i];
|
||||
// debug(res);
|
||||
}
|
||||
if (f == 0) {
|
||||
res = pw[n];
|
||||
if (msp(m) > msp(x)) {
|
||||
ll highbits = (-1LL) xor ((1 << msp(x) + 1) - 1);
|
||||
ll l = 1, r = INFLL / x;
|
||||
while (l < r) {
|
||||
ll mid = l + r + 1 >> 1;
|
||||
if (((x * mid) & highbits) < (m & highbits)) {
|
||||
l = mid;
|
||||
} else {
|
||||
r = mid - 1;
|
||||
}
|
||||
}
|
||||
res += l - 1;
|
||||
for (ll k = l + 1; k <= l + 10; ++k) {
|
||||
ll z = k * x;
|
||||
ll y = x xor z;
|
||||
if (y <= m) {
|
||||
res += 1;
|
||||
}
|
||||
}
|
||||
}
|
||||
cout << res << '\n';
|
||||
}
|
||||
|
|
|
|||
|
|
@ -0,0 +1,530 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n, k);
|
||||
vector<int> deg(n + 1);
|
||||
vector<vector<pii>> e(n + 1);
|
||||
for (int i = 0; i < n - 1; ++i) {
|
||||
read(int, u, v);
|
||||
edgew(e, u, v, i);
|
||||
deg[u] += 1;
|
||||
deg[v] += 1;
|
||||
}
|
||||
vector<int> idx(n);
|
||||
iota(idx.begin(), idx.end(), 1);
|
||||
sort_by_key(idx.begin(), idx.end(), expr(deg[v], auto&& v), greater());
|
||||
int d = deg[idx[k]];
|
||||
// debug(d);
|
||||
vector<int> col(n - 1);
|
||||
auto dfs = [&] (auto dfs, int v, int pa, int up) -> void {
|
||||
int no = 1;
|
||||
for (auto&& [u, i] : e[v]) {
|
||||
if (u == pa) continue;
|
||||
if (deg[v] > d) {
|
||||
col[i] = no;
|
||||
} else {
|
||||
if (no == up) no += 1;
|
||||
// deb(u, v, no);
|
||||
col[i] = no++;
|
||||
}
|
||||
dfs(dfs, u, v, col[i]);
|
||||
}
|
||||
};
|
||||
dfs(dfs, 1, 0, 0);
|
||||
cout << d << '\n';
|
||||
putvec(col);
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,590 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
template <typename T> struct point {
|
||||
T x, y;
|
||||
point() : x(), y() {}
|
||||
point(const pair<T, T>& a) : x(a.first), y(a.second) {}
|
||||
point(const T& x, const T& y) : x(x), y(y) {}
|
||||
|
||||
inline T square() const { return x * x + y * y; }
|
||||
inline ld norm() const { return sqrt(ld(square())); }
|
||||
|
||||
inline point operator+(const point& rhs) const { return point(x + rhs.x, y + rhs.y); }
|
||||
inline point operator-(const point& rhs) const { return point(x - rhs.x, y - rhs.y); }
|
||||
inline point operator+() const { return *this; }
|
||||
inline point operator-() const { return point(-x, -y); }
|
||||
inline point operator*(const T& a) const { return point(x * a, y * a); }
|
||||
inline T operator*(const point& rhs) const { return x * rhs.y - y * rhs.x; }
|
||||
inline point operator/(const T& a) const { return point(x / a, y / a); }
|
||||
inline point operator+=(const point& rhs) { x += rhs.x, y += rhs.y; return *this; }
|
||||
inline point operator-=(const point& rhs) { x -= rhs.x, y -= rhs.y; return *this; }
|
||||
inline point operator*=(const T& a) { x *= a, y *= a; return *this; }
|
||||
inline point operator/=(const T& a) { x /= a, y /= a; return *this; }
|
||||
|
||||
inline bool operator==(const point& rhs) const { return x == rhs.x and y == rhs.y; }
|
||||
inline bool operator!=(const point& rhs) const { return not (*this == rhs); }
|
||||
inline bool operator<(const point& rhs) const { return pair(x, y) < pair(rhs.x, rhs.y); }
|
||||
inline bool operator<=(const point& rhs) const { return *this < rhs or *this == rhs; }
|
||||
inline bool operator>(const point& rhs) const { return not (*this <= rhs); }
|
||||
inline bool operator>=(const point& rhs) const { return not (*this < rhs); }
|
||||
|
||||
static inline ld slope(const point& a, const point& b) {
|
||||
if (a.x == b.x) return INFLL;
|
||||
return ld(a.y - b.y) / (a.x - b.x);
|
||||
}
|
||||
|
||||
// distance from point `a` to line `l--r`
|
||||
static inline ld dist(const point& a, const point& l, const point& r) {
|
||||
return area(a, l, r) * 2 / (l - r).norm();
|
||||
}
|
||||
|
||||
static inline ld area(const point& a, const point& b, const point& c) {
|
||||
return (b - a) * (c - a) / ld(2);
|
||||
}
|
||||
|
||||
friend inline istream& operator>>(istream& in, point& a) {
|
||||
return in >> a.x >> a.y;
|
||||
}
|
||||
|
||||
friend inline ostream& operator<<(ostream& out, const point& a) {
|
||||
return out << a.x << ' ' << a.y;
|
||||
}
|
||||
};
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n);
|
||||
vector<point<ll>> a;
|
||||
for (int i = 0; i < n; ++i) {
|
||||
read(int, x, y);
|
||||
a.emplace_back(x, y - ll(1) * x * x);
|
||||
}
|
||||
sort_by_key(a.begin(), a.end(), expr(pll(p.x, p.y), auto&& p));
|
||||
// debug(a);
|
||||
vector<int> left(n, -1), right(n, -1);
|
||||
vector<int> stack;
|
||||
for (int i = 0; i < n; ++i) {
|
||||
int m = stack.size();
|
||||
while (m >= 2 and (a[stack[m - 1]] - a[stack[m - 2]]) * (a[i] - a[stack[m - 1]]) > 0) {
|
||||
stack.pop_back();
|
||||
m -= 1;
|
||||
}
|
||||
if (m) {
|
||||
left[i] = stack[m - 1];
|
||||
}
|
||||
stack.emplace_back(i);
|
||||
}
|
||||
stack.clear();
|
||||
for (int i = n - 1; ~i; --i) {
|
||||
int m = stack.size();
|
||||
while (m >= 2 and (a[stack[m - 1]] - a[i]) * (a[stack[m - 2]] - a[stack[m - 1]]) > 0) {
|
||||
stack.pop_back();
|
||||
m -= 1;
|
||||
}
|
||||
if(m) {
|
||||
right[i] = stack[m - 1];
|
||||
}
|
||||
stack.emplace_back(i);
|
||||
}
|
||||
int res = 0;
|
||||
for (int i = 0; i < n; ++i) {
|
||||
// deb(i, left[i], right[i]);
|
||||
if (left[i] != -1 and (a[i] - a[left[i]]).x != 0 and (right[i] == -1 or (a[i] - a[left[i]]) * (a[right[i]] - a[i]) < 0)) {
|
||||
res += 1;
|
||||
}
|
||||
}
|
||||
cout << res << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,660 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
template<typename Addable_Info_t, typename Tag_t, typename Sequence = std::vector<Addable_Info_t>> class segtree {
|
||||
private:
|
||||
using size_type = uint64_t;
|
||||
using info_type = Addable_Info_t;
|
||||
using tag_type = Tag_t;
|
||||
size_type _max;
|
||||
vector<info_type> d;
|
||||
vector<tag_type> b;
|
||||
void pull(size_type p) {
|
||||
d[p] = d[p * 2] + d[p * 2 + 1];
|
||||
}
|
||||
void push(size_type p, size_type left_len, size_type right_len) {
|
||||
d[p * 2].apply(b[p], left_len), d[p * 2 + 1].apply(b[p], right_len);
|
||||
b[p * 2].apply(b[p]), b[p * 2 + 1].apply(b[p]);
|
||||
b[p] = tag_type();
|
||||
}
|
||||
void set(size_type s, size_type t, size_type p, size_type x, const info_type& c) {
|
||||
if (s == t) {
|
||||
d[p] = c;
|
||||
return;
|
||||
}
|
||||
size_type m = s + (t - s >> 1);
|
||||
if (s != t) push(p, m - s + 1, t - m);
|
||||
if (x <= m) set(s, m, p * 2, x, c);
|
||||
else set(m + 1, t, p * 2 + 1, x, c);
|
||||
pull(p);
|
||||
}
|
||||
|
||||
void range_apply(size_type s, size_type t, size_type p, size_type l, size_type r, const tag_type& c) {
|
||||
if (l <= s && t <= r) {
|
||||
d[p].apply(c, t - s + 1);
|
||||
b[p].apply(c);
|
||||
return;
|
||||
}
|
||||
size_type m = s + (t - s >> 1);
|
||||
push(p, m - s + 1, t - m);
|
||||
if (l <= m) range_apply(s, m, p * 2, l, r, c);
|
||||
if (r > m) range_apply(m + 1, t, p * 2 + 1, l, r, c);
|
||||
pull(p);
|
||||
}
|
||||
info_type range_query(size_type s, size_type t, size_type p, size_type l, size_type r) {
|
||||
if (l <= s && t <= r) {
|
||||
return d[p];
|
||||
}
|
||||
size_type m = s + (t - s >> 1);
|
||||
info_type res = {};
|
||||
push(p, m - s + 1, t - m);
|
||||
if (l <= m) res = res + range_query(s, m, p * 2, l, r);
|
||||
if (r > m) res = res + range_query(m + 1, t, p * 2 + 1, l, r);
|
||||
return res;
|
||||
}
|
||||
void build(const Sequence& a, size_type s, size_type t, size_type p) {
|
||||
if (s == t) {
|
||||
d[p] = a[s];
|
||||
return;
|
||||
}
|
||||
int m = s + (t - s >> 1);
|
||||
build(a, s, m, p * 2);
|
||||
build(a, m + 1, t, p * 2 + 1);
|
||||
pull(p);
|
||||
}
|
||||
public:
|
||||
segtree(size_type __max) : d(4 * __max), b(4 * __max), _max(__max - 1) {}
|
||||
segtree(const Sequence& a) : segtree(a.size()) {
|
||||
build(a, {}, _max, 1);
|
||||
}
|
||||
void set(size_type i, const info_type& c) {
|
||||
set({}, _max, 1, i, c);
|
||||
}
|
||||
|
||||
void range_apply(size_type l, size_type r, const tag_type& c) {
|
||||
range_apply({}, _max, 1, l, r, c);
|
||||
}
|
||||
void apply(size_type i, const tag_type& c) {
|
||||
range_apply(i, i, c);
|
||||
}
|
||||
info_type range_query(size_type l, size_type r) {
|
||||
return range_query({}, _max, 1, l, r);
|
||||
}
|
||||
info_type query(size_type i) {
|
||||
return range_query(i, i);
|
||||
}
|
||||
Sequence serialize() {
|
||||
Sequence res = {};
|
||||
for (size_type i = 0; i <= _max; ++i) {
|
||||
res.push_back(query(i));
|
||||
}
|
||||
return res;
|
||||
}
|
||||
const vector<info_type>& get_d() {
|
||||
return d;
|
||||
}
|
||||
};
|
||||
struct Tag {
|
||||
void apply(const Tag& rhs) { }
|
||||
};
|
||||
struct Info {
|
||||
int val = 0;
|
||||
void apply(const Tag& rhs, size_t len) { }
|
||||
};
|
||||
Info operator+(const Info &a, const Info &b) {
|
||||
return {a.val + b.val};
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
constexpr int N = 1e5 + 10;
|
||||
read(int, n, q);
|
||||
readvec(int, a, n);
|
||||
set<pii> lt, gt;
|
||||
set<pii> pos;
|
||||
segtree<Info, Tag> all(q);
|
||||
for (int i = 0; i < q; ++i) {
|
||||
read(char, op);
|
||||
read(int, x);
|
||||
if (op == '<') {
|
||||
lt.emplace(x, i);
|
||||
pos.emplace(i, 0);
|
||||
} else {
|
||||
gt.emplace(x, i);
|
||||
pos.emplace(i, 1);
|
||||
}
|
||||
}
|
||||
vector<pii> sgn(N);
|
||||
for (int i = N - 1; ~i; --i) {
|
||||
while (lt.size() and lt.begin()->first <= -i) {
|
||||
pos.erase({lt.begin()->second, 0});
|
||||
lt.erase(lt.begin());
|
||||
}
|
||||
while (lt.size() and lt.rbegin()->first > i) {
|
||||
pos.erase({lt.rbegin()->second, 0});
|
||||
all.set(lt.rbegin()->second, { 1 });
|
||||
lt.erase(prev(lt.end()));
|
||||
}
|
||||
while (gt.size() and gt.rbegin()->first >= i) {
|
||||
pos.erase({gt.rbegin()->second, 1});
|
||||
gt.erase(prev(gt.end()));
|
||||
}
|
||||
while (gt.size() and gt.begin()->first < -i) {
|
||||
pos.erase({gt.begin()->second, 1});
|
||||
all.set(gt.begin()->second, { 1 });
|
||||
gt.erase(gt.begin());
|
||||
}
|
||||
int start;
|
||||
if (pos.empty()) {
|
||||
sgn[i].first = -1;
|
||||
start = 0;
|
||||
} else {
|
||||
sgn[i].first = pos.rbegin()->second;
|
||||
start = pos.rbegin()->first;
|
||||
}
|
||||
sgn[i].second = all.range_query(start, q - 1).val % 2;
|
||||
}
|
||||
for (int i = 0; i < n; ++i) {
|
||||
int x = a[i];
|
||||
if (sgn[abs(x)].first != -1) {
|
||||
x = sgn[abs(x)].first ? -abs(x) : abs(x);
|
||||
}
|
||||
if (sgn[abs(x)].second == 1) {
|
||||
x = -x;
|
||||
}
|
||||
cout << x << ' ';
|
||||
}
|
||||
cout << endl;
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,535 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
using mll = MLL<PRIME>;
|
||||
|
||||
read(int, n);
|
||||
adj(ch, n);
|
||||
for (int i = 2; i <= n; ++i) {
|
||||
read(int, j);
|
||||
edge(ch, i, j);
|
||||
}
|
||||
|
||||
vector<array<mll, 2>> dp(n + 1);
|
||||
auto dfs = [&] (auto dfs, int v, int pa) -> void {
|
||||
mll all0 = 1;
|
||||
mll all1 = 1;
|
||||
mll all01 = 1;
|
||||
mll bak = 0;
|
||||
mll cak = 0;
|
||||
int f = 0;
|
||||
for (auto&& u : ch[v]) {
|
||||
if (u == pa) continue;
|
||||
f = 1;
|
||||
dfs(dfs, u, v);
|
||||
all0 *= dp[u][0];
|
||||
all1 *= dp[u][1];
|
||||
all01 *= (dp[u][0] + dp[u][1]);
|
||||
bak += dp[u][1] / dp[u][0];
|
||||
cak += dp[u][1] / dp[u][0];
|
||||
}
|
||||
if (f) {
|
||||
dp[v][0] = all01 - all0 * bak;
|
||||
dp[v][1] = all01 - all0;
|
||||
} else {
|
||||
dp[v][0] = 1;
|
||||
dp[v][1] = 1;
|
||||
}
|
||||
};
|
||||
dfs(dfs, 1, 0);
|
||||
cout << dp[1][0] << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,575 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
inline int ask(int x1, int x2, int y1, int y2) {
|
||||
cout << "? " << x1 << ' ' << y1 << ' ' << x2 << ' ' << y2 << endl;
|
||||
read(int, res);
|
||||
assert(res != -1);
|
||||
return res;
|
||||
}
|
||||
|
||||
void prep() {
|
||||
read(int, n);
|
||||
vector<pii> res;
|
||||
for (int i = 1; i < n; ++i) {
|
||||
if (ask(1, i, 1, n) % 2 == 1) {
|
||||
int l = 1, r = n;
|
||||
while (l < r) {
|
||||
int mid = l + r >> 1;
|
||||
if (ask(i, i, 1, mid) % 2 == 1) {
|
||||
r = mid;
|
||||
} else {
|
||||
l = mid + 1;
|
||||
}
|
||||
}
|
||||
res.emplace_back(i, l);
|
||||
break;
|
||||
}
|
||||
}
|
||||
if (res.size()) {
|
||||
for (int i = n; i > 1; --i) {
|
||||
if (ask(i, n, 1, n) % 2 == 1) {
|
||||
int l = 1, r = n;
|
||||
while (l < r) {
|
||||
int mid = l + r >> 1;
|
||||
if (ask(i, i, 1, mid) % 2 == 1) {
|
||||
r = mid;
|
||||
} else {
|
||||
l = mid + 1;
|
||||
}
|
||||
}
|
||||
res.emplace_back(i, l);
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
if (res.size() == 2) {
|
||||
cout << "! " << res[0].first << ' ' << res[0].second << ' ' << res[1].first << ' ' << res[1].second << endl;
|
||||
return;
|
||||
}
|
||||
for (int i = 1; i < n; ++i) {
|
||||
if (ask(1, n, 1, i) % 2 == 1) {
|
||||
int l = 1, r = n;
|
||||
while (l < r) {
|
||||
int mid = l + r >> 1;
|
||||
if (ask(1, mid, i, i) % 2 == 1) {
|
||||
r = mid;
|
||||
} else {
|
||||
l = mid + 1;
|
||||
}
|
||||
}
|
||||
res.emplace_back(l, i);
|
||||
break;
|
||||
}
|
||||
}
|
||||
if (res.empty()) exit(825);
|
||||
for (int i = n; i > 1; --i) {
|
||||
if (ask(1, n, i, n) % 2 == 1) {
|
||||
int l = 1, r = n;
|
||||
while (l < r) {
|
||||
int mid = l + r >> 1;
|
||||
if (ask(1, mid, i, i) % 2 == 1) {
|
||||
r = mid;
|
||||
} else {
|
||||
l = mid + 1;
|
||||
}
|
||||
}
|
||||
res.emplace_back(l, i);
|
||||
break;
|
||||
}
|
||||
}
|
||||
cout << "! " << res[0].first << ' ' << res[0].second << ' ' << res[1].first << ' ' << res[1].second << endl;
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,521 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n, m, k);
|
||||
readvec(int, a, n);
|
||||
sort(a.begin(), a.end());
|
||||
vector<ll> ps(n + 1);
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
ps[i] = ps[i - 1] + a[i - 1];
|
||||
}
|
||||
vector<int> free(n + 1, -1);
|
||||
free[1] = 0;
|
||||
for (int i = 0; i < m; ++i) {
|
||||
read(int, x, y);
|
||||
chmax(free[x], y);
|
||||
}
|
||||
vector<ll> dp(k + 1, INFLL);
|
||||
dp[0] = 0;
|
||||
for (int i = 0; i < k; ++i) {
|
||||
for (int j = 1; i + j <= k; ++j) {
|
||||
if (free[j] != -1) {
|
||||
chmin(dp[i + j], dp[i] + ps[i + j] - ps[i + free[j]]);
|
||||
}
|
||||
}
|
||||
}
|
||||
cout << dp[k] << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,526 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
constexpr int N = 1e7;
|
||||
read(int, n);
|
||||
readvec(int, a, n);
|
||||
vector<vector<int>> bk(N + 1);
|
||||
for (int i = 0; i < n; ++i) {
|
||||
bk[a[i]].emplace_back(i);
|
||||
}
|
||||
ll res = INFLL;
|
||||
pii idx;
|
||||
for (int i = 1; i <= N; ++i) {
|
||||
int cand[2] = { INF, INF };
|
||||
for (int j = i; j <= N; j += i) {
|
||||
for (auto&& x : bk[j]) {
|
||||
if (cand[0] == INF or j < a[cand[0]]) {
|
||||
cand[1] = cand[0];
|
||||
cand[0] = x;
|
||||
} else if (cand[1] == INF or j < a[cand[1]]) {
|
||||
cand[1] = x;
|
||||
}
|
||||
}
|
||||
}
|
||||
if (cand[0] != INF and cand[1] != INF) {
|
||||
if (chmin(res, lcm<ll>(a[cand[0]], a[cand[1]]))) {
|
||||
idx = minmax(cand[0], cand[1]);
|
||||
}
|
||||
}
|
||||
}
|
||||
cout << idx.first + 1 << ' ' << idx.second + 1 << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,551 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
constexpr int N = 1e4 + 5;
|
||||
read(int, n);
|
||||
vector<vector<tiii>> h(N), v(N);
|
||||
vector<tuple<int, int, int, int>> pts;
|
||||
for (int i = 0; i < n; ++i) {
|
||||
read(int, x1, y1, x2, y2);
|
||||
if (x1 > y1) swap(x1, y1);
|
||||
if (x2 > y2) swap(x2, y2);
|
||||
x1 += 5e3;
|
||||
y1 += 5e3;
|
||||
x2 += 5e3;
|
||||
y2 += 5e3;
|
||||
if (x1 == x2) {
|
||||
v[x1].emplace_back(y1, y2, i);
|
||||
} else {
|
||||
h[y1].emplace_back(x1, x2, i);
|
||||
}
|
||||
pts.emplace_back(x1, y1, x2, y2);
|
||||
}
|
||||
for (int i = 0; i < N; ++i) {
|
||||
sort(v[i].begin(), v[i].end());
|
||||
sort(h[i].begin(), h[i].end());
|
||||
}
|
||||
vector<vector<int>> bt(n);
|
||||
for (int i = 0; i < N; ++i) {
|
||||
int ptr = 0;
|
||||
for (auto&& [u, d, idx] : v[i]) {
|
||||
for (int j = u; j <= d; ++j) {
|
||||
for (auto&& [l, r, jdx] : h[j]) {
|
||||
if (l <= i and i <= r) {
|
||||
bt[idx].emplace_back(jdx);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
for (int i = 0; i < N; ++i) {
|
||||
for (auto&& [l, r, idx] : h[i]) {
|
||||
min_heap<pii> q;
|
||||
for (int j = l; j <= r; ++j) {
|
||||
for (auto&& [u, d, jdx] : v[j]) {
|
||||
if (u <= i and i <= d) {
|
||||
for (auto&& kdx : bt[jdx]) {
|
||||
auto&& [x1, y1, x2, y2] = pts[kdx];
|
||||
if (y1 < i) {
|
||||
q.emplace(x2, kdx);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,653 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
template<typename Addable_Info_t, typename Tag_t, typename Sequence = std::vector<Addable_Info_t>> class segtree {
|
||||
private:
|
||||
using size_type = uint64_t;
|
||||
using info_type = Addable_Info_t;
|
||||
using tag_type = Tag_t;
|
||||
size_type _max;
|
||||
vector<info_type> d;
|
||||
vector<tag_type> b;
|
||||
void pull(size_type p) {
|
||||
d[p] = d[p * 2] + d[p * 2 + 1];
|
||||
}
|
||||
void push(size_type p, size_type left_len, size_type right_len) {
|
||||
d[p * 2].apply(b[p], left_len), d[p * 2 + 1].apply(b[p], right_len);
|
||||
b[p * 2].apply(b[p]), b[p * 2 + 1].apply(b[p]);
|
||||
b[p] = tag_type();
|
||||
}
|
||||
void set(size_type s, size_type t, size_type p, size_type x, const info_type& c) {
|
||||
if (s == t) {
|
||||
d[p] = c;
|
||||
return;
|
||||
}
|
||||
size_type m = s + (t - s >> 1);
|
||||
if (s != t) push(p, m - s + 1, t - m);
|
||||
if (x <= m) set(s, m, p * 2, x, c);
|
||||
else set(m + 1, t, p * 2 + 1, x, c);
|
||||
pull(p);
|
||||
}
|
||||
|
||||
void range_apply(size_type s, size_type t, size_type p, size_type l, size_type r, const tag_type& c) {
|
||||
if (l <= s && t <= r) {
|
||||
d[p].apply(c, t - s + 1);
|
||||
b[p].apply(c);
|
||||
return;
|
||||
}
|
||||
size_type m = s + (t - s >> 1);
|
||||
push(p, m - s + 1, t - m);
|
||||
if (l <= m) range_apply(s, m, p * 2, l, r, c);
|
||||
if (r > m) range_apply(m + 1, t, p * 2 + 1, l, r, c);
|
||||
pull(p);
|
||||
}
|
||||
info_type range_query(size_type s, size_type t, size_type p, size_type l, size_type r) {
|
||||
if (l <= s && t <= r) {
|
||||
return d[p];
|
||||
}
|
||||
size_type m = s + (t - s >> 1);
|
||||
info_type res = {};
|
||||
push(p, m - s + 1, t - m);
|
||||
if (l <= m) res = res + range_query(s, m, p * 2, l, r);
|
||||
if (r > m) res = res + range_query(m + 1, t, p * 2 + 1, l, r);
|
||||
return res;
|
||||
}
|
||||
void build(const Sequence& a, size_type s, size_type t, size_type p) {
|
||||
if (s == t) {
|
||||
d[p] = a[s];
|
||||
return;
|
||||
}
|
||||
int m = s + (t - s >> 1);
|
||||
build(a, s, m, p * 2);
|
||||
build(a, m + 1, t, p * 2 + 1);
|
||||
pull(p);
|
||||
}
|
||||
public:
|
||||
segtree(size_type __max) : d(4 * __max), b(4 * __max), _max(__max - 1) {}
|
||||
segtree(const Sequence& a) : segtree(a.size()) {
|
||||
build(a, {}, _max, 1);
|
||||
}
|
||||
void set(size_type i, const info_type& c) {
|
||||
set({}, _max, 1, i, c);
|
||||
}
|
||||
|
||||
void range_apply(size_type l, size_type r, const tag_type& c) {
|
||||
range_apply({}, _max, 1, l, r, c);
|
||||
}
|
||||
void apply(size_type i, const tag_type& c) {
|
||||
range_apply(i, i, c);
|
||||
}
|
||||
info_type range_query(size_type l, size_type r) {
|
||||
return range_query({}, _max, 1, l, r);
|
||||
}
|
||||
info_type query(size_type i) {
|
||||
return range_query(i, i);
|
||||
}
|
||||
Sequence serialize() {
|
||||
Sequence res = {};
|
||||
for (size_type i = 0; i <= _max; ++i) {
|
||||
res.push_back(query(i));
|
||||
}
|
||||
return res;
|
||||
}
|
||||
const vector<info_type>& get_d() {
|
||||
return d;
|
||||
}
|
||||
};
|
||||
struct Tag {
|
||||
ll val = 0;
|
||||
void apply(const Tag& rhs) {
|
||||
val += rhs.val;
|
||||
}
|
||||
};
|
||||
struct Info {
|
||||
ll val = 0;
|
||||
void apply(const Tag& rhs, size_t len) {
|
||||
val += rhs.val * len;
|
||||
}
|
||||
};
|
||||
Info operator+(const Info &a, const Info &b) {
|
||||
return {a.val + b.val};
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n, m);
|
||||
segtree<Info, Tag> res(m);
|
||||
for (int i = 0; i < n; ++i) {
|
||||
read(int, k);
|
||||
readvec(int, b, k);
|
||||
|
||||
int last = m - k;
|
||||
vector<tiii> events;
|
||||
for (int j = 0; j < k; ++j) {
|
||||
events.emplace_back(0, j, b[j]);
|
||||
events.emplace_back(1, last + j + 1, b[j]);
|
||||
}
|
||||
if (last != 0) {
|
||||
events.emplace_back(0, 0, 0);
|
||||
events.emplace_back(1, last, 0);
|
||||
events.emplace_back(0, k, 0);
|
||||
events.emplace_back(1, m, 0);
|
||||
}
|
||||
|
||||
sort_by_key(events.begin(), events.end(), expr(get<1>(t), auto&& t));
|
||||
|
||||
int prev_j = 0;
|
||||
multiset<int> oc;
|
||||
for (auto&& [t, j, x] : events) {
|
||||
// deb(i, t, j, x);
|
||||
if (j != prev_j) {
|
||||
if (oc.size()) {
|
||||
res.range_apply(prev_j, j - 1, {*oc.rbegin()});
|
||||
}
|
||||
}
|
||||
if (t == 0) {
|
||||
oc.emplace(x);
|
||||
} else {
|
||||
oc.erase(oc.find(x));
|
||||
}
|
||||
prev_j = j;
|
||||
}
|
||||
// for (int i = 0; i < m; ++i) {
|
||||
// cerr << res.query(i).val << ' ';
|
||||
// }
|
||||
// cerr << endl;
|
||||
}
|
||||
for (int i = 0; i < m; ++i) {
|
||||
cout << res.query(i).val << ' ';
|
||||
}
|
||||
cout << endl;
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,530 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n, k);
|
||||
vector<ll> mp(n + 1);
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
mp[i] = rd();
|
||||
}
|
||||
readvec(int, a, n);
|
||||
readvec(int, b, n);
|
||||
vector<ll> ps(n + 1);
|
||||
vector<int> splits = { 0 };
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
ps[i] = ps[i - 1] xor mp[a[i - 1]] xor mp[b[i - 1]];
|
||||
if (ps[i] == 0) {
|
||||
splits.emplace_back(i);
|
||||
}
|
||||
}
|
||||
if (splits.size() <= k) {
|
||||
cout << "NO\n";
|
||||
} else {
|
||||
cout << "YES\n";
|
||||
vector<int> res(n);
|
||||
int m = splits.size() - 1;
|
||||
for (int i = 1; i <= m; ++i) {
|
||||
int curr = min(k, i) - 1;
|
||||
for (int j = splits[i - 1]; j < splits[i]; ++j) {
|
||||
res[a[j] - 1] = curr;
|
||||
}
|
||||
}
|
||||
for (int i = 0; i < n; ++i) {
|
||||
cout << char('a' + res[i]);
|
||||
}
|
||||
cout << endl;
|
||||
}
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,618 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
template<typename Addable_Info_t, typename Tag_t, typename Sequence = std::vector<Addable_Info_t>> class segtree {
|
||||
private:
|
||||
using size_type = uint64_t;
|
||||
using info_type = Addable_Info_t;
|
||||
using tag_type = Tag_t;
|
||||
size_type _max;
|
||||
vector<info_type> d;
|
||||
vector<tag_type> b;
|
||||
void pull(size_type p) {
|
||||
d[p] = d[p * 2] + d[p * 2 + 1];
|
||||
}
|
||||
void push(size_type p, size_type left_len, size_type right_len) {
|
||||
d[p * 2].apply(b[p], left_len), d[p * 2 + 1].apply(b[p], right_len);
|
||||
b[p * 2].apply(b[p]), b[p * 2 + 1].apply(b[p]);
|
||||
b[p] = tag_type();
|
||||
}
|
||||
void set(size_type s, size_type t, size_type p, size_type x, const info_type& c) {
|
||||
if (s == t) {
|
||||
d[p] = c;
|
||||
return;
|
||||
}
|
||||
size_type m = s + (t - s >> 1);
|
||||
if (s != t) push(p, m - s + 1, t - m);
|
||||
if (x <= m) set(s, m, p * 2, x, c);
|
||||
else set(m + 1, t, p * 2 + 1, x, c);
|
||||
pull(p);
|
||||
}
|
||||
|
||||
void range_apply(size_type s, size_type t, size_type p, size_type l, size_type r, const tag_type& c) {
|
||||
if (l <= s && t <= r) {
|
||||
d[p].apply(c, t - s + 1);
|
||||
b[p].apply(c);
|
||||
return;
|
||||
}
|
||||
size_type m = s + (t - s >> 1);
|
||||
push(p, m - s + 1, t - m);
|
||||
if (l <= m) range_apply(s, m, p * 2, l, r, c);
|
||||
if (r > m) range_apply(m + 1, t, p * 2 + 1, l, r, c);
|
||||
pull(p);
|
||||
}
|
||||
info_type range_query(size_type s, size_type t, size_type p, size_type l, size_type r) {
|
||||
if (l <= s && t <= r) {
|
||||
return d[p];
|
||||
}
|
||||
size_type m = s + (t - s >> 1);
|
||||
info_type res = {};
|
||||
push(p, m - s + 1, t - m);
|
||||
if (l <= m) res = res + range_query(s, m, p * 2, l, r);
|
||||
if (r > m) res = res + range_query(m + 1, t, p * 2 + 1, l, r);
|
||||
return res;
|
||||
}
|
||||
void build(const Sequence& a, size_type s, size_type t, size_type p) {
|
||||
if (s == t) {
|
||||
d[p] = a[s];
|
||||
return;
|
||||
}
|
||||
int m = s + (t - s >> 1);
|
||||
build(a, s, m, p * 2);
|
||||
build(a, m + 1, t, p * 2 + 1);
|
||||
pull(p);
|
||||
}
|
||||
public:
|
||||
segtree(size_type __max) : d(4 * __max), b(4 * __max), _max(__max - 1) {}
|
||||
segtree(const Sequence& a) : segtree(a.size()) {
|
||||
build(a, {}, _max, 1);
|
||||
}
|
||||
void set(size_type i, const info_type& c) {
|
||||
set({}, _max, 1, i, c);
|
||||
}
|
||||
|
||||
void range_apply(size_type l, size_type r, const tag_type& c) {
|
||||
range_apply({}, _max, 1, l, r, c);
|
||||
}
|
||||
void apply(size_type i, const tag_type& c) {
|
||||
range_apply(i, i, c);
|
||||
}
|
||||
info_type range_query(size_type l, size_type r) {
|
||||
return range_query({}, _max, 1, l, r);
|
||||
}
|
||||
info_type query(size_type i) {
|
||||
return range_query(i, i);
|
||||
}
|
||||
Sequence serialize() {
|
||||
Sequence res = {};
|
||||
for (size_type i = 0; i <= _max; ++i) {
|
||||
res.push_back(query(i));
|
||||
}
|
||||
return res;
|
||||
}
|
||||
const vector<info_type>& get_d() {
|
||||
return d;
|
||||
}
|
||||
};
|
||||
struct Tag {
|
||||
ll val = INFLL;
|
||||
void apply(const Tag& rhs) {
|
||||
chmin(val, rhs.val);
|
||||
}
|
||||
};
|
||||
struct Info {
|
||||
ll val = INFLL;
|
||||
void apply(const Tag& rhs, size_t len) {
|
||||
chmin(val, rhs.val);
|
||||
}
|
||||
};
|
||||
Info operator+(const Info &a, const Info &b) {
|
||||
return {min(a.val, b.val)};
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n, k);
|
||||
segtree<Info, Tag> tr(n + 1);
|
||||
tr.set(0, {0});
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
tr.apply(i, {tr.query(i - 1).val + i});
|
||||
read(char, c);
|
||||
if (c == '1') {
|
||||
tr.range_apply(i, min(n, i + k), {tr.range_query(max(0, i - k - 1), i - 1).val + i});
|
||||
}
|
||||
}
|
||||
cout << tr.query(n).val << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,624 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
// #define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
int digcnt(ll x) {
|
||||
int res = 0;
|
||||
while (x != 0) {
|
||||
res += 1;
|
||||
x /= 10;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
inline int128 get(int128 x, int128 y) {
|
||||
return (x + y) * (y - x + 1) / 2;
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(ll, target);
|
||||
|
||||
vector<int128> pw(19);
|
||||
pw[0] = 1;
|
||||
for (int i = 1; i < 19; ++i) {
|
||||
pw[i] = pw[i - 1] * 10;
|
||||
}
|
||||
|
||||
auto f = [&] (ll x) -> int128 {
|
||||
if (x == 0) return 0;
|
||||
vector<int> digits;
|
||||
while (x != 0) {
|
||||
digits.emplace_back(x % 10);
|
||||
x /= 10;
|
||||
}
|
||||
int ms = digits.size() - 1;
|
||||
int128 res = ms + 1;
|
||||
for (int i = ms; ~i; --i) {
|
||||
res += (i == ms ? digits[i] - 1 : digits[i]) * (ms + 1) * pw[i];
|
||||
}
|
||||
for (int i = ms - 1; ~i; --i) {
|
||||
res += 9 * (i + 1) * pw[i];
|
||||
}
|
||||
return res;
|
||||
};
|
||||
|
||||
auto g = [&] (ll x) -> int128 {
|
||||
if (x == 0) return 0;
|
||||
vector<int> digits;
|
||||
ll b = x;
|
||||
while (x != 0) {
|
||||
digits.emplace_back(x % 10);
|
||||
x /= 10;
|
||||
}
|
||||
int ms = digits.size() - 1;
|
||||
int128 res = b * (ms + 1);
|
||||
int128 sum = 0;
|
||||
for (int i = ms; ~i; --i) {
|
||||
for (int j = 0; j < digits[i]; ++j) {
|
||||
if (sum == 0 and j == 0) continue;
|
||||
int128 curr = sum * 10 + j;
|
||||
res += get(curr * pw[i], (curr + 1) * pw[i] - 1) * (ms + 1);
|
||||
}
|
||||
sum = sum * 10 + digits[i];
|
||||
}
|
||||
for (int i = ms - 1; ~i; --i) {
|
||||
for (int j = 1; j < 10; ++j) {
|
||||
res += get(j * pw[i], (j + 1) * pw[i] - 1) * (i + 1);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
};
|
||||
|
||||
auto calc = [&] (ll x) -> int128 {
|
||||
return (x + 1) * f(x) - g(x);
|
||||
};
|
||||
// debug(calc(11));
|
||||
|
||||
int block;
|
||||
{
|
||||
int l = 1, r = 1e9;
|
||||
while (l < r) {
|
||||
int mid = l + r >> 1;
|
||||
if (calc(mid) < target) {
|
||||
l = mid + 1;
|
||||
} else {
|
||||
r = mid;
|
||||
}
|
||||
}
|
||||
block = l;
|
||||
}
|
||||
|
||||
|
||||
ll prev = calc(block - 1);
|
||||
// deb(block, ll(calc(block - 1)), ll(f(block)), ll(calc(block)));
|
||||
assert(calc(block - 1) + f(block) == calc(block));
|
||||
// debug(prev);
|
||||
int offset;
|
||||
{
|
||||
int l = 1, r = block;
|
||||
while (l < r) {
|
||||
int mid = l + r >> 1;
|
||||
if (prev + f(mid) < target) {
|
||||
l = mid + 1;
|
||||
} else {
|
||||
r = mid;
|
||||
}
|
||||
}
|
||||
offset = l;
|
||||
}
|
||||
|
||||
prev += f(offset - 1);
|
||||
// debug(prev);
|
||||
// debug(offset);
|
||||
|
||||
vector<int> digits;
|
||||
while (offset) {
|
||||
digits.emplace_back(offset % 10);
|
||||
offset /= 10;
|
||||
}
|
||||
reverse(digits.begin(), digits.end());
|
||||
|
||||
cout << digits[target - prev - 1] << '\n';
|
||||
|
||||
|
||||
// int128 res = 0;
|
||||
// ll last = 0;
|
||||
// ll i = 0;
|
||||
// for (; res < target; ++i) {
|
||||
// last += digcnt(i);
|
||||
// res += last;
|
||||
// }
|
||||
// debug(i);
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,705 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
template <ll M>
|
||||
ll qpow_m(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
ll half = qpow_m<M>(b, p / 2);
|
||||
if (p % 2 == 1) return (half * half % M)* b % M;
|
||||
else return half * half % M;
|
||||
}
|
||||
|
||||
|
||||
template <ll M>
|
||||
void ntt(vector<ll>& y, bool idft) {
|
||||
int n = y.size();
|
||||
vector<int> rev(n);
|
||||
for (int i = 0; i < n; ++i) {
|
||||
rev[i] = rev[i >> 1] >> 1;
|
||||
if (i & 1) {
|
||||
rev[i] |= n >> 1;
|
||||
}
|
||||
}
|
||||
for (int i = 0; i < n; ++i) {
|
||||
if (i < rev[i]) {
|
||||
swap(y[i], y[rev[i]]);
|
||||
}
|
||||
}
|
||||
vector<ll> roots = { 0, 1 };
|
||||
if (roots.size() < n) {
|
||||
int k = lsp(roots.size());
|
||||
roots.resize(n);
|
||||
for (; (1 << k) < n; ++k) {
|
||||
ll e = qpow_m<M>(31, 1 << lsp(M - 1) - k - 1);
|
||||
for (int i = 1 << k - 1; i < (1 << k); ++i) {
|
||||
roots[2 * i] = roots[i];
|
||||
roots[2 * i + 1] = roots[i] * e % M;
|
||||
}
|
||||
}
|
||||
}
|
||||
for (int h = 2; h <= n; h <<= 1) {
|
||||
for (int j = 0; j < n; j += h) {
|
||||
for (int k = j; k < j + h / 2; ++k) {
|
||||
ll u = y[k], t = roots[k - j + h / 2] * y[k + h / 2] % M;
|
||||
y[k] = (u + t) % M;
|
||||
y[k + h / 2] = mod(u - t, M);
|
||||
}
|
||||
}
|
||||
}
|
||||
if (idft) {
|
||||
reverse(y.begin() + 1, y.end());
|
||||
ll inv = inverse(n, M);
|
||||
for (int i = 0; i < n; ++i) {
|
||||
y[i] = y[i] * inv % M;
|
||||
}
|
||||
}
|
||||
}
|
||||
template <ll M>
|
||||
vector<ll> multiply(const vector<ll>& a, const vector<ll>& b) {
|
||||
vector<ll> A(a.begin(), a.end()), B(b.begin(), b.end());
|
||||
int n = 1;
|
||||
while (n < a.size() + b.size()) n <<= 1;
|
||||
A.resize(n), B.resize(n);
|
||||
ntt<M>(A, false), ntt<M>(B, false);
|
||||
for (int i = 0; i < n; ++i) {
|
||||
A[i] = A[i] * B[i] % M;
|
||||
}
|
||||
ntt<M>(A, true);
|
||||
return A;
|
||||
}
|
||||
/** 多项式乘法
|
||||
* 2024-03-10: https://qoj.ac/submission/350298
|
||||
**/
|
||||
constexpr int P = 998244353;
|
||||
|
||||
int power(int a, int b) {
|
||||
int res = 1;
|
||||
for (; b; b /= 2, a = 1LL * a * a % P) {
|
||||
if (b % 2) {
|
||||
res = 1LL * res * a % P;
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
std::vector<int> rev, roots {0, 1};
|
||||
|
||||
void dft(std::vector<int> &a) {
|
||||
int n = a.size();
|
||||
if (int(rev.size()) != n) {
|
||||
int k = __builtin_ctz(n) - 1;
|
||||
rev.resize(n);
|
||||
for (int i = 0; i < n; i++) {
|
||||
rev[i] = rev[i >> 1] >> 1 | (i & 1) << k;
|
||||
}
|
||||
}
|
||||
for (int i = 0; i < n; i++) {
|
||||
if (rev[i] < i) {
|
||||
std::swap(a[i], a[rev[i]]);
|
||||
}
|
||||
}
|
||||
if (roots.size() < n) {
|
||||
int k = __builtin_ctz(roots.size());
|
||||
roots.resize(n);
|
||||
while ((1 << k) < n) {
|
||||
int e = power(31, 1 << (__builtin_ctz(P - 1) - k - 1));
|
||||
for (int i = 1 << (k - 1); i < (1 << k); i++) {
|
||||
roots[2 * i] = roots[i];
|
||||
roots[2 * i + 1] = 1LL * roots[i] * e % P;
|
||||
}
|
||||
k++;
|
||||
}
|
||||
}
|
||||
|
||||
for (int k = 1; k < n; k *= 2) {
|
||||
for (int i = 0; i < n; i += 2 * k) {
|
||||
for (int j = 0; j < k; j++) {
|
||||
int u = a[i + j];
|
||||
int v = 1LL * a[i + j + k] * roots[k + j] % P;
|
||||
a[i + j] = (u + v) % P;
|
||||
a[i + j + k] = (u - v) % P;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
void idft(std::vector<int> &a) {
|
||||
int n = a.size();
|
||||
std::reverse(a.begin() + 1, a.end());
|
||||
dft(a);
|
||||
int inv = (1 - P) / n;
|
||||
for (int i = 0; i < n; i++) {
|
||||
a[i] = 1LL * a[i] * inv % P;
|
||||
}
|
||||
}
|
||||
|
||||
std::vector<int> mul(std::vector<int> a, std::vector<int> b) {
|
||||
int n = 1, tot = a.size() + b.size() - 1;
|
||||
while (n < tot) {
|
||||
n *= 2;
|
||||
}
|
||||
if (tot < 128) {
|
||||
std::vector<int> c(a.size() + b.size() - 1);
|
||||
for (int i = 0; i < a.size(); i++) {
|
||||
for (int j = 0; j < b.size(); j++) {
|
||||
c[i + j] = (c[i + j] + 1LL * a[i] * b[j]) % P;
|
||||
}
|
||||
}
|
||||
return c;
|
||||
}
|
||||
a.resize(n);
|
||||
b.resize(n);
|
||||
dft(a);
|
||||
dft(b);
|
||||
for (int i = 0; i < n; i++) {
|
||||
a[i] = 1LL * a[i] * b[i] % P;
|
||||
}
|
||||
idft(a);
|
||||
a.resize(tot);
|
||||
return a;
|
||||
}
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n, k);
|
||||
readvec(int, a, n);
|
||||
|
||||
vector<ll> b(n);
|
||||
|
||||
auto dfs = [&] (auto dfs, int l, int r) -> vector<ll> {
|
||||
// deb(l, r);
|
||||
vector<ll> ret;
|
||||
if (l == r) {
|
||||
ret.resize(2);
|
||||
ret[0] = 1;
|
||||
ret[1] = b[l];
|
||||
return ret;
|
||||
}
|
||||
int mid = l + r >> 1;
|
||||
ret = multiply<PRIME>(dfs(dfs, l, mid), dfs(dfs, mid + 1, r));
|
||||
// ret = mul(dfs(dfs, l, mid), dfs(dfs, mid + 1, r));
|
||||
if (ret.size() > k) ret.resize(k + 1);
|
||||
return ret;
|
||||
};
|
||||
|
||||
|
||||
read(int, q);
|
||||
while (q--) {
|
||||
read(int, op);
|
||||
if (op == 1) {
|
||||
read(int, q, i, x);
|
||||
--i;
|
||||
for (int j = 0; j < n; ++j) {
|
||||
if (j == i) {
|
||||
b[j] = mod(q - x, PRIME);
|
||||
} else {
|
||||
b[j] = mod(q - a[j], PRIME);
|
||||
}
|
||||
}
|
||||
cout << dfs(dfs, 0, n - 1)[k] << '\n';
|
||||
} else {
|
||||
read(int, q, l, r, x);
|
||||
--l, --r;
|
||||
for (int j = 0; j < n; ++j) {
|
||||
if (j >= l and j <= r) {
|
||||
b[j] = mod(q - (a[j] + x), PRIME);
|
||||
} else {
|
||||
b[j] = mod(q - a[j], PRIME);
|
||||
}
|
||||
}
|
||||
cout << dfs(dfs, 0, n - 1)[k] << '\n';
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,622 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
class quick_union {
|
||||
private:
|
||||
vector<size_t> c, sz;
|
||||
public:
|
||||
quick_union(size_t n) : c(n), sz(n) {
|
||||
iota(c.begin(), c.end(), 0);
|
||||
}
|
||||
size_t query(size_t i) {
|
||||
if (c[i] != i) c[i] = query(c[i]);
|
||||
return c[i];
|
||||
}
|
||||
void merge(size_t i, size_t j) {
|
||||
if (connected(i, j)) return;
|
||||
sz[query(j)] |= sz[query(i)];
|
||||
c[query(i)] = query(j);
|
||||
}
|
||||
bool connected(size_t i, size_t j) {
|
||||
return query(i) == query(j);
|
||||
}
|
||||
size_t query_size(size_t i) {
|
||||
return sz[query(i)];
|
||||
}
|
||||
void set_size(size_t i, int val) {
|
||||
sz[query(i)] |= val;
|
||||
}
|
||||
};
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n);
|
||||
vector a(n, vector<int>(n));
|
||||
for (int i = 0; i < n; ++i) {
|
||||
for (int j = 0; j < n; ++j) {
|
||||
read(char, c);
|
||||
a[i][j] = c == '1';
|
||||
}
|
||||
}
|
||||
vector b(n, vector<int>(n));
|
||||
for (int i = 0; i < n; ++i) {
|
||||
for (int j = 0; j < n; ++j) {
|
||||
read(char, c);
|
||||
b[i][j] = c == '1';
|
||||
}
|
||||
}
|
||||
vector<int> c(n);
|
||||
for (int i = 0; i < n; ++i) {
|
||||
read(char, x);
|
||||
c[i] = x == '1';
|
||||
}
|
||||
quick_union qu(4 * n + 2);
|
||||
int rev = 2 * n;
|
||||
int on = 4 * n, off = 4 * n + 1;
|
||||
for (int i = 0; i < n; ++i) {
|
||||
for (int j = 0; j < n; ++j) {
|
||||
int need = a[i][j] != b[i][j];
|
||||
int row = c[j];
|
||||
int col = c[i];
|
||||
if (need) {
|
||||
if (row and col) {
|
||||
// choose anyone
|
||||
qu.merge(i, rev + n + j);
|
||||
qu.merge(rev + i, n + j);
|
||||
} else if (row) {
|
||||
qu.set_size(i, 2);
|
||||
qu.set_size(rev + i, 1);
|
||||
qu.set_size(n + j, 2);
|
||||
qu.set_size(rev + n + j, 1);
|
||||
} else if (col) {
|
||||
qu.set_size(i, 1);
|
||||
qu.set_size(rev + i, 2);
|
||||
qu.set_size(n + j, 2);
|
||||
qu.set_size(rev + n + j, 1);
|
||||
} else {
|
||||
qu.merge(on, off);
|
||||
}
|
||||
} else {
|
||||
if (row and col) {
|
||||
qu.merge(i, n + j);
|
||||
qu.merge(rev + i, rev + n + j);
|
||||
} else if (row) {
|
||||
qu.merge(i, off);
|
||||
qu.merge(rev + i, on);
|
||||
} else if (col) {
|
||||
qu.merge(n + j, off);
|
||||
qu.merge(rev + n + j, on);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
for (int i = 0; i < 2 * n; ++i) {
|
||||
if (qu.connected(i, on)) {
|
||||
qu.merge(rev + i, off);
|
||||
} else if (qu.connected(i, off)) {
|
||||
qu.merge(rev + i, on);
|
||||
} else if (qu.connected(rev + i, on)) {
|
||||
qu.merge(i, off);
|
||||
} else if (qu.connected(rev + i, off)) {
|
||||
qu.merge(i, on);
|
||||
}
|
||||
}
|
||||
if (qu.connected(on, off)) {
|
||||
cout << "-1\n";
|
||||
return;
|
||||
}
|
||||
vector<pii> seq;
|
||||
for (int i = 0; i < 2 * n; ++i) {
|
||||
if (qu.connected(i, rev + i)) {
|
||||
cout << "-1\n";
|
||||
return;
|
||||
}
|
||||
if (qu.connected(i, on) or qu.connected(rev + i, off)) {
|
||||
qu.merge(i, on);
|
||||
qu.merge(rev + i, off);
|
||||
seq.emplace_back(i / n, i % n);
|
||||
} else if (qu.connected(i, off) or qu.connected(rev + i, on)) {
|
||||
;;
|
||||
} else {
|
||||
seq.emplace_back(i / n, i % n);
|
||||
qu.merge(i, on);
|
||||
qu.merge(rev + i, off);
|
||||
}
|
||||
}
|
||||
cout << seq.size() << '\n';
|
||||
for (auto&& [p, v] : seq) {
|
||||
cout << (p ? "col" : "row") << ' ' << v << '\n';
|
||||
}
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,605 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// WARN: Input should be a simple graph
|
||||
//
|
||||
// Returns: (BCC count, indices of BCC of each vertex)
|
||||
//
|
||||
// BCC index starts from 1
|
||||
pair<int, vector<int>> ebcc(const vector<vector<int>>& ch) {
|
||||
int n = ch.size() - 1;
|
||||
vector<int> c(n + 1);
|
||||
|
||||
vector<int> low(n + 1), dfn(n + 1);
|
||||
vector<bool> vis(n + 1);
|
||||
vector<int> stack;
|
||||
|
||||
int time = 0;
|
||||
int cnt = 0;
|
||||
|
||||
auto dfs = [&] (auto dfs, int v, int pa) -> void {
|
||||
low[v] = dfn[v] = ++time;
|
||||
stack.emplace_back(v);
|
||||
vis[v] = 1;
|
||||
for (auto&& u : ch[v]) {
|
||||
if (u == pa) continue;
|
||||
if (not dfn[u]) {
|
||||
dfs(dfs, u, v);
|
||||
chmin(low[v], low[u]);
|
||||
} else if (vis[u]) {
|
||||
chmin(low[v], dfn[u]);
|
||||
}
|
||||
}
|
||||
if (dfn[v] == low[v]) {
|
||||
cnt += 1;
|
||||
c[v] = cnt;
|
||||
while (stack.back() != v) {
|
||||
c[stack.back()] = cnt;
|
||||
vis[stack.back()] = 0;
|
||||
stack.pop_back();
|
||||
}
|
||||
stack.pop_back();
|
||||
}
|
||||
};
|
||||
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
if (not dfn[i]) {
|
||||
dfs(dfs, i, 0);
|
||||
}
|
||||
}
|
||||
return { cnt, c };
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n, m);
|
||||
readvec1(int, w, n);
|
||||
vector<pii> edges;
|
||||
adj(ch, n);
|
||||
for (int i = 0; i < m; ++i) {
|
||||
read(int, u, v);
|
||||
edges.emplace_back(u, v);
|
||||
edge(ch, u, v);
|
||||
}
|
||||
auto [cnt, c] = ebcc(ch);
|
||||
adj(nch, cnt);
|
||||
vector<ll> nw(cnt + 1);
|
||||
vector<int> sz(cnt + 1);
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
nw[c[i]] += w[i];
|
||||
sz[c[i]] += 1;
|
||||
}
|
||||
for (auto&& [u, v] : edges) {
|
||||
if (c[u] == c[v]) {
|
||||
continue;
|
||||
}
|
||||
edge(nch, c[u], c[v]);
|
||||
}
|
||||
read(int, s);
|
||||
ll sf = 0;
|
||||
ll pf = 0;
|
||||
vector<bool> added(cnt + 1);
|
||||
{
|
||||
auto dfs = [&] (auto dfs, int v, int pa) -> int {
|
||||
int good = sz[v] > 1;
|
||||
for (auto&& u : nch[v]) {
|
||||
if (u == pa) continue;
|
||||
good |= dfs(dfs, u, v);
|
||||
}
|
||||
if (good) {
|
||||
added[v] = 1;
|
||||
pf += nw[v];
|
||||
}
|
||||
return good;
|
||||
};
|
||||
dfs(dfs, c[s], 0);
|
||||
}
|
||||
{
|
||||
auto dfs = [&] (auto dfs, int v, int pa, ll up) -> void {
|
||||
if (not added[v]) {
|
||||
up += nw[v];
|
||||
} else {
|
||||
up = 0;
|
||||
}
|
||||
chmax(sf, up);
|
||||
for (auto&& u : nch[v]) {
|
||||
if (u == pa) continue;
|
||||
dfs(dfs, u, v, up);
|
||||
}
|
||||
};
|
||||
dfs(dfs, c[s], 0, 0);
|
||||
}
|
||||
cout << pf + sf << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,537 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
using mll = MLL<MDL>;
|
||||
constexpr int N = 255;
|
||||
mll fact[N], factrev[N + 1], s[N + 1];
|
||||
|
||||
void prep() {
|
||||
fact[0] = factrev[0] = 1;
|
||||
for (int i = 1; i < N; ++i) {
|
||||
fact[i] = fact[i - 1] * i;
|
||||
}
|
||||
s[0] = 1;
|
||||
for (int i = 1; i <= N; ++i) {
|
||||
s[i] = s[i - 1] * fact[i - 1];
|
||||
}
|
||||
factrev[N] = 1 / s[N];
|
||||
for (int i = N; i; --i) {
|
||||
factrev[i - 1] = factrev[i] * fact[i - 1];
|
||||
}
|
||||
for (int i = 0; i < N; ++i) {
|
||||
factrev[i] = factrev[i + 1] * s[i];
|
||||
}
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n, k);
|
||||
vector<mll> dp(n + 1);
|
||||
vector<mll> f(n + 1), g(n + 1);
|
||||
f[0] = g[0] = 1;
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
f[i] = (k - 1) * f[i - 1];
|
||||
g[i] = k * g[i - 1];
|
||||
}
|
||||
dp[0] = 1;
|
||||
for (int i = 0; i < n; ++i) {
|
||||
vector<mll> ndp(n + 1);
|
||||
for (int j = 0; j <= n; ++j) {
|
||||
for (int l = 1; l <= n - j; ++l) {
|
||||
ndp[j + l] += dp[j] * fastcomb(n - j, l) * f[n - j - l] * g[j];
|
||||
}
|
||||
ndp[j] += dp[j] * (g[j] - f[j]) * f[n - j];
|
||||
}
|
||||
dp = std::move(ndp);
|
||||
}
|
||||
cout << dp[n] << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,503 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
// #define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n);
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
cout << i + i - 1 << ' ';
|
||||
}
|
||||
cout << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,513 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
// #define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(string, a);
|
||||
int n = a.size();
|
||||
vector<int> prev(26, -1);
|
||||
for (int i = 0; i < n; ++i) {
|
||||
if (prev[a[i] - 'a'] != -1 and (i - prev[a[i] - 'a']) % 2 == 1) {
|
||||
cout << a.substr(prev[a[i] - 'a'], i - prev[a[i] - 'a'] + 1) << '\n';
|
||||
return;
|
||||
}
|
||||
if (i >= 2 and a[i] != a[i - 1] and a[i - 1] != a[i - 2] and a[i] != a[i - 2]) {
|
||||
cout << a.substr(i - 2, 3) << '\n';
|
||||
return;
|
||||
}
|
||||
prev[a[i] - 'a'] = i;
|
||||
}
|
||||
cout << -1 << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,506 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
// #define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, x);
|
||||
read(ll, m);
|
||||
int res = 0;
|
||||
for (int i = 1; i < x; ++i) {
|
||||
int y = x xor i;
|
||||
if (y <= m and (y % i == 0 or x % i == 0)) res += 1;
|
||||
}
|
||||
cout << res << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,528 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
// #define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
__attribute__((target("lzcnt")))
|
||||
void solve() {
|
||||
read(int, x);
|
||||
read(ll, m);
|
||||
ll res = 0;
|
||||
for (int i = 1; i <= min<ll>(m, x); ++i) {
|
||||
int z = x xor i;
|
||||
if (z % x == 0 or z % i == 0) {
|
||||
res += 1;
|
||||
}
|
||||
}
|
||||
if (msp(m) > msp(x)) {
|
||||
ll highbits = (-1LL) xor ((1 << msp(x) + 1) - 1);
|
||||
ll l = 1, r = INFLL / x;
|
||||
while (l < r) {
|
||||
ll mid = l + r + 1 >> 1;
|
||||
if (((x * mid) & highbits) < (m & highbits)) {
|
||||
l = mid;
|
||||
} else {
|
||||
r = mid - 1;
|
||||
}
|
||||
}
|
||||
res += l - 1;
|
||||
for (ll k = l + 1; k <= l + 10; ++k) {
|
||||
ll z = k * x;
|
||||
ll y = x xor z;
|
||||
if (y <= m) {
|
||||
res += 1;
|
||||
}
|
||||
}
|
||||
}
|
||||
cout << res << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,534 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
// #define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n, m);
|
||||
readvec(int, a, m);
|
||||
reverse(a.begin(), a.end());
|
||||
vector<vector<int>> ban(n + 1);
|
||||
vector<int> res(n + 1);
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
int pos = -1;
|
||||
int k = ban[i].size();
|
||||
sort(ban[i].begin(), ban[i].end());
|
||||
if (ban[i].empty() or ban[i][0] != 0) {
|
||||
pos = 0;
|
||||
} else {
|
||||
for (int j = 1; j < k; ++j) {
|
||||
if (ban[i][j] > ban[i][j - 1] + 1) {
|
||||
pos = ban[i][j - 1] + 1;
|
||||
goto fi;
|
||||
}
|
||||
}
|
||||
if (ban[i].back() + 1 < m) {
|
||||
pos = ban[i].back() + 1;
|
||||
}
|
||||
}
|
||||
fi:
|
||||
if (pos == -1) {
|
||||
cout << -1 << '\n';
|
||||
return;
|
||||
} else {
|
||||
res[i] = a[pos];
|
||||
for (int j = i + i; j <= n; j += i) {
|
||||
ban[j].emplace_back(pos);
|
||||
}
|
||||
}
|
||||
}
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
cout << res[i] << " \n"[i == n];
|
||||
}
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -0,0 +1,513 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
// #define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
using mll = MLL<PRIME>;
|
||||
|
||||
read(int, n);
|
||||
vector<array<mll, 4>> dp(n + 1);
|
||||
vector<array<mll, 4>> ps(n + 1);
|
||||
dp[2][0] = 1;
|
||||
for (int i = 3; i <= n; ++i) {
|
||||
dp[i][0] += dp[i - 1][0];
|
||||
dp[i][1] += dp[i - 1][0];
|
||||
dp[i][2] += ps[i - 1][1] + ps[i - 1][2];
|
||||
dp[i][3] += dp[i - 1][2] + dp[i - 1][3];
|
||||
ps[i][1] = ps[i - 1][1] + dp[i][1] * (i - 1);
|
||||
ps[i][2] = ps[i - 1][2] + dp[i][2] * i;
|
||||
}
|
||||
cout << dp[n][2] + dp[n][3] + n - 1 << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
71
src/bin/d.cc
71
src/bin/d.cc
|
|
@ -456,7 +456,7 @@ constexpr std::array<T, N> __initarray(const T& value) {
|
|||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
|
|
@ -469,46 +469,41 @@ void prep() {
|
|||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n, q);
|
||||
set<tiii> segs;
|
||||
vector<int> cnt(n + 1);
|
||||
auto del = [&] (auto it) {
|
||||
auto [l, r, x] = *it;
|
||||
cnt[x] -= r - l + 1;
|
||||
segs.erase(it);
|
||||
};
|
||||
auto add = [&] (int l, int r, int x) {
|
||||
cnt[x] += r - l + 1;
|
||||
segs.emplace(l, r, x);
|
||||
};
|
||||
read(int, n, m);
|
||||
readvec(int, a, m);
|
||||
reverse(a.begin(), a.end());
|
||||
vector<vector<int>> ban(n + 1);
|
||||
vector<int> res(n + 1);
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
add(i, i, i);
|
||||
}
|
||||
while (q--) {
|
||||
read(int, op);
|
||||
if (op == 1) {
|
||||
read(int, x, c);
|
||||
auto it = prev(segs.lower_bound({x + 1, 0, 0}));
|
||||
auto [l, r, col] = *it;
|
||||
col = c;
|
||||
if (it != segs.begin() and get<2>(*prev(it)) == col) {
|
||||
auto [l1, r1, x] = *prev(it);
|
||||
chmin(l, l1);
|
||||
chmax(r, r1);
|
||||
del(prev(it));
|
||||
}
|
||||
if (next(it) != segs.end() and get<2>(*next(it)) == col) {
|
||||
auto [l1, r1, x] = *next(it);
|
||||
chmin(l, l1);
|
||||
chmax(r, r1);
|
||||
del(next(it));
|
||||
}
|
||||
del(it);
|
||||
add(l, r, col);
|
||||
int pos = -1;
|
||||
int k = ban[i].size();
|
||||
sort(ban[i].begin(), ban[i].end());
|
||||
if (ban[i].empty() or ban[i][0] != 0) {
|
||||
pos = 0;
|
||||
} else {
|
||||
read(int, c);
|
||||
cout << cnt[c] << '\n';
|
||||
for (int j = 1; j < k; ++j) {
|
||||
if (ban[i][j] > ban[i][j - 1] + 1) {
|
||||
pos = ban[i][j - 1] + 1;
|
||||
goto fi;
|
||||
}
|
||||
}
|
||||
if (ban[i].back() + 1 < m) {
|
||||
pos = ban[i].back() + 1;
|
||||
}
|
||||
}
|
||||
fi:
|
||||
if (pos == -1) {
|
||||
cout << -1 << '\n';
|
||||
return;
|
||||
} else {
|
||||
res[i] = a[pos];
|
||||
for (int j = i + i; j <= n; j += i) {
|
||||
ban[j].emplace_back(pos);
|
||||
}
|
||||
}
|
||||
}
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
cout << res[i] << " \n"[i == n];
|
||||
}
|
||||
}
|
||||
|
||||
|
|
|
|||
61
src/bin/e.cc
61
src/bin/e.cc
|
|
@ -469,56 +469,21 @@ void prep() {
|
|||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
using mll = MLL<PRIME>;
|
||||
|
||||
read(int, n);
|
||||
int counter = 0;
|
||||
auto ask = [&] (int l, int r) {
|
||||
assert(++counter <= n);
|
||||
if (l == r) return 0;
|
||||
++l, ++r;
|
||||
cout << "? " << l << ' ' << r << endl;
|
||||
read(int, res);
|
||||
return res;
|
||||
};
|
||||
int tot = ask(0, n - 1);
|
||||
if (tot == 0) {
|
||||
cout << "! IMPOSSIBLE" << endl;
|
||||
return;
|
||||
vector<array<mll, 4>> dp(n + 1);
|
||||
vector<array<mll, 4>> ps(n + 1);
|
||||
dp[2][0] = 1;
|
||||
for (int i = 3; i <= n; ++i) {
|
||||
dp[i][0] += dp[i - 1][0];
|
||||
dp[i][1] += dp[i - 1][0];
|
||||
dp[i][2] += ps[i - 1][1] + ps[i - 1][2];
|
||||
dp[i][3] += dp[i - 1][2] + dp[i - 1][3];
|
||||
ps[i][1] = ps[i - 1][1] + dp[i][1] * (i - 1);
|
||||
ps[i][2] = ps[i - 1][2] + dp[i][2] * i;
|
||||
}
|
||||
int last = -1;
|
||||
for (int i = n - 2; ~i; --i) {
|
||||
if (ask(0, i) != tot) {
|
||||
last = i + 1;
|
||||
break;
|
||||
}
|
||||
}
|
||||
assert(~last);
|
||||
int prev = 0;
|
||||
vector<int> res(n);
|
||||
res[last] = 1;
|
||||
for (int i = last - 1; i > 0; --i) {
|
||||
int curr = ask(i, last);
|
||||
if (curr == prev) {
|
||||
res[i] = 1;
|
||||
}
|
||||
prev = curr;
|
||||
}
|
||||
int cnt = 0;
|
||||
int sum = 0;
|
||||
for (int i = 1; i < n; ++i) {
|
||||
cnt += res[i] == 0;
|
||||
if (res[i] == 1) {
|
||||
sum += cnt;
|
||||
}
|
||||
}
|
||||
if (sum == tot) {
|
||||
res[0] = 1;
|
||||
}
|
||||
cout << "! ";
|
||||
for (int i = 0; i < n; ++i) {
|
||||
cout << res[i];
|
||||
}
|
||||
cout << endl;
|
||||
return;
|
||||
cout << dp[n][2] + dp[n][3] + n - 1 << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
|
|
|
|||
|
|
@ -0,0 +1,520 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
read(int, n, k);
|
||||
ll x = k;
|
||||
for (int i = 0; i < n; ++i) {
|
||||
ll curr = LLONG_MIN;
|
||||
for (int j = 0; j < 2; ++j) {
|
||||
read(char, op);
|
||||
read(int, y);
|
||||
if (op == '+') {
|
||||
chmax(curr, x + y);
|
||||
} else if (op == '-') {
|
||||
chmax(curr, x - y);
|
||||
} else if (op == '*') {
|
||||
chmax(curr, x * y);
|
||||
} else if (op == '/') {
|
||||
chmax(curr, x / y);
|
||||
} else {
|
||||
assert(false);
|
||||
}
|
||||
}
|
||||
x = curr;
|
||||
}
|
||||
cout << (x > 0 ? "Yes" : "No") << endl;
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -1,9 +1,5 @@
|
|||
3 3 8
|
||||
1 2
|
||||
1 3
|
||||
2 1
|
||||
2 2
|
||||
2 3
|
||||
3 1
|
||||
3 2
|
||||
3 3
|
||||
4
|
||||
4
|
||||
2
|
||||
7
|
||||
69
|
||||
|
|
|
|||
691
src/bin/test.cc
691
src/bin/test.cc
|
|
@ -1,172 +1,519 @@
|
|||
#include <bits/stdc++.h>
|
||||
using std::cin, std::cout, std::vector, std::array;
|
||||
#define endl "\n"
|
||||
#define ALL(x) x.begin(), x.end()
|
||||
using PII = std::pair<int, int>;
|
||||
using PIU = std::pair<int, unsigned>;
|
||||
using T3I = std::tuple<int, int, int>;
|
||||
|
||||
template <typename T>
|
||||
constexpr T power(T a, long long b){ T res=1; for(;b;b>>=1, a*=a) if(b&1) res*=a; return res; }
|
||||
template <int P>
|
||||
class Mint {
|
||||
public:
|
||||
int x;
|
||||
static int MOD;
|
||||
constexpr Mint(): x() {}
|
||||
constexpr Mint(long long _x): x{norm(_x%getMOD())} {}
|
||||
|
||||
constexpr static void setMOD(int _MOD){ MOD=_MOD; }
|
||||
constexpr static int getMOD(){ return P>0? P:MOD; }
|
||||
constexpr int norm(int x) const { return x>=0&&x<getMOD()? x:(x<0?x+=getMOD():x-=getMOD()); }
|
||||
constexpr int val() const { return x; }
|
||||
explicit constexpr operator int() const { return x; }
|
||||
constexpr Mint operator-() const { Mint res; res.x=norm(getMOD()-x); return res;}
|
||||
constexpr Mint inv() const { assert(x!=0); return power(*this,getMOD()-2); }
|
||||
constexpr Mint &operator*=(Mint rhs)&{ x=1LL*x*rhs.x%getMOD(); return *this; }
|
||||
constexpr Mint &operator+=(Mint rhs)&{ x=norm(x+rhs.x); return *this; }
|
||||
constexpr Mint &operator-=(Mint rhs)&{ x=norm(x-rhs.x); return *this; }
|
||||
constexpr Mint &operator/=(Mint rhs)&{ return *this*=rhs.inv(); }
|
||||
friend constexpr Mint operator*(Mint lhs, Mint rhs){ Mint res=lhs; res*=rhs; return res; }
|
||||
friend constexpr Mint operator+(Mint lhs, Mint rhs){ Mint res=lhs; res+=rhs; return res; }
|
||||
friend constexpr Mint operator-(Mint lhs, Mint rhs){ Mint res=lhs; res-=rhs; return res; }
|
||||
friend constexpr Mint operator/(Mint lhs, Mint rhs){ Mint res=lhs; res/=rhs; return res; }
|
||||
friend constexpr std::istream &operator>>(std::istream &is, Mint &a){ long long v; is>>v; a=Mint(v); return is; }
|
||||
friend constexpr std::ostream &operator<<(std::ostream &os, const Mint &a){ return os<<a.val(); }
|
||||
friend constexpr bool operator==(Mint lhs, Mint rhs){ return lhs.val()==rhs.val(); }
|
||||
friend constexpr bool operator!=(Mint lhs, Mint rhs){ return lhs.val()!=rhs.val(); }
|
||||
};
|
||||
|
||||
template <>
|
||||
int Mint<0>::MOD = 998'244'353;
|
||||
|
||||
template <int V, int P>
|
||||
constexpr Mint<P> Cinv = Mint<P>(V).inv();
|
||||
|
||||
// 可以修改这里的P 如果需要将变量设为P,需要将P变为0
|
||||
constexpr int P = 998'244'353;
|
||||
using Z = Mint<P>;
|
||||
|
||||
using PUZ = std::pair<unsigned, Z>;
|
||||
constexpr int N = 2e5 + 31;
|
||||
array<vector<PUZ>, N> toAdd{}, toDel{};
|
||||
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
|
||||
void solve()
|
||||
{
|
||||
int n; cin >> n;
|
||||
vector<unsigned> aa(n+1);
|
||||
vector<std::queue<int>> pos(31);
|
||||
for(int i = 1; i <= n; ++i) {
|
||||
cin >> aa[i];
|
||||
for(int j = 0; j < 31; ++j) if(aa[i] >> j & 1)
|
||||
pos[j].emplace(i);
|
||||
}
|
||||
|
||||
int mx = 0;
|
||||
|
||||
// vector<vector<PUZ>> toAdd(n+1), toDel(n+1);
|
||||
std::map<unsigned, Z> mp;
|
||||
toAdd[0].emplace_back(0, 1);
|
||||
toDel[1].emplace_back(0, 1);
|
||||
for(int i = 0; i <= n; ++i) {
|
||||
int L = i + 1, R = i + 1;
|
||||
vector<PIU> nxt;
|
||||
for(int j = 0; j < 31; ++j) {
|
||||
if(aa[i] >> j & 1) pos[j].pop();
|
||||
if(!pos[j].empty()) {
|
||||
nxt.emplace_back(1U<<j, pos[j].front());
|
||||
}
|
||||
}
|
||||
std::ranges::sort(nxt,
|
||||
[&](const PIU &lhs, const PIU &rhs) {
|
||||
return lhs.second > rhs.second;
|
||||
}
|
||||
);
|
||||
|
||||
unsigned OR = 0;
|
||||
while(!nxt.empty() && (OR == 0 || OR < aa[i])) {
|
||||
auto [v, p] = nxt.back(); nxt.pop_back();
|
||||
while(!nxt.empty() && nxt.back().second == p) {
|
||||
v |= nxt.back().first; nxt.pop_back();
|
||||
}
|
||||
OR |= v;
|
||||
R = p;
|
||||
}
|
||||
|
||||
for(auto &[val, cnt]:toDel[i]) {
|
||||
auto it = mp.find(val);
|
||||
if(it->second == cnt) mp.erase(it);
|
||||
else it->second -= cnt;
|
||||
assert(mp.size() <= 33);
|
||||
chmax(mx, mp.size());
|
||||
}
|
||||
assert(mp.size() <= 33);
|
||||
chmax(mx, mp.size());
|
||||
for(auto &[val, cnt]:toAdd[i]) mp[val] += cnt;
|
||||
if(i == n) break;
|
||||
|
||||
for(auto it = mp.begin(); it != mp.end(); ) {
|
||||
if(it->second == 0) it = mp.erase(it);
|
||||
else it = std::next(it);
|
||||
}
|
||||
|
||||
toDel[i].clear();
|
||||
toAdd[i].clear();
|
||||
|
||||
for(auto [val, cnt]:mp) {
|
||||
if(cnt == 0) continue;
|
||||
int top = int(nxt.size()) - 1;
|
||||
int curL = L, curR = R;
|
||||
unsigned curSum = OR;
|
||||
while(top >= 0 && curSum < val) {
|
||||
auto [v, p] = nxt[top--];
|
||||
while(top >= 0 && nxt[top].second == p)
|
||||
v |= nxt[top--].first;
|
||||
curSum |= v; curR = p;
|
||||
}
|
||||
if(curSum < val) continue;
|
||||
|
||||
toAdd[curR].emplace_back(curSum, cnt);
|
||||
while(top >= 0) {
|
||||
curL = curR;
|
||||
auto [v, p] = nxt[top--];
|
||||
curR = p;
|
||||
toDel[curR].emplace_back(curSum, cnt);
|
||||
curSum |= v;
|
||||
toAdd[curR].emplace_back(curSum, cnt);
|
||||
}
|
||||
chmax(mx, mp.size());
|
||||
assert(mp.size() <= 33);
|
||||
}
|
||||
chmax(mx, mp.size());
|
||||
assert(mp.size() <= 33);
|
||||
}
|
||||
|
||||
Z res = 0;
|
||||
for(auto [_, cnt]:mp) res += cnt;
|
||||
cout << res << endl;
|
||||
cout << mx << endl;
|
||||
}
|
||||
|
||||
int32_t main()
|
||||
{
|
||||
std::cin.tie(nullptr)->sync_with_stdio(false);
|
||||
// #ifndef ONLINE_JUDGE
|
||||
// std::ifstream in("C++/in.txt");
|
||||
// std::cin.rdbuf(in.rdbuf());
|
||||
// #endif
|
||||
int T = 1;
|
||||
// std::cin >> T;
|
||||
while(T--) solve();
|
||||
return 0;
|
||||
}
|
||||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
|
||||
/************* This code requires C++17. ***************/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) remove_reference<decltype(container)>::type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using ld = long double;
|
||||
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
|
||||
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
|
||||
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
|
||||
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
|
||||
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
|
||||
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
|
||||
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
|
||||
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
|
||||
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
|
||||
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
|
||||
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
|
||||
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
|
||||
template <typename T> using max_heap = priority_queue<T>;
|
||||
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
|
||||
template <typename T> using oi = ostream_iterator<T>;
|
||||
template <typename T> using ii = istream_iterator<T>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
uniform_int_distribution<mt19937::result_type> dist(PRIME);
|
||||
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
|
||||
struct array_hash {
|
||||
template <typename Sequence>
|
||||
size_t operator()(const Sequence& arr) const {
|
||||
size_t pw1 = 1, pw2 = 1;
|
||||
size_t res1 = 0, res2 = 0;
|
||||
for (auto&& x : arr) {
|
||||
res1 = (res1 + x * pw1) % __array_hash_mdl1;
|
||||
res2 = (res2 + x * pw2) % __array_hash_mdl2;
|
||||
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
|
||||
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
|
||||
}
|
||||
return res1 + res2;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
|
||||
return in >> p.first >> p.second;
|
||||
}
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (auto& x : a) cin >> x;)
|
||||
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
|
||||
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
|
||||
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
#define deb(...) debug(make_tuple(__VA_ARGS__))
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
template <typename return_t>
|
||||
return_t qpow(ll b, ll p) {
|
||||
if (b == 0 and p != 0) return 0;
|
||||
if (p == 0) return 1;
|
||||
return_t half = qpow<return_t>(b, p / 2);
|
||||
if (p % 2 == 1) return half * half * b;
|
||||
else return half * half;
|
||||
}
|
||||
|
||||
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
|
||||
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
|
||||
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
// return (factor, count, factor ** count)
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
vector<pii> decompose_prime(int N) {
|
||||
// return (factor, count)
|
||||
vector<pii> result;
|
||||
for (int i = 2; i * i <= N; i++) {
|
||||
if (N % i == 0) {
|
||||
int cnt = 0;
|
||||
while (N % i == 0) N /= i, ++cnt;
|
||||
result.emplace_back(i, cnt);
|
||||
}
|
||||
}
|
||||
if (N != 1) {
|
||||
result.emplace_back(N, 1);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
|
||||
/* modular arithmetic */
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
MLL(const MLL<mdl>& other) : val(other.val) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
// miscancellous
|
||||
template <typename T, typename U>
|
||||
bool chmax(T& lhs, const U& rhs) {
|
||||
bool ret = lhs < rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
template <typename T, typename U>
|
||||
bool chmin(T& lhs, const U& rhs) {
|
||||
bool ret = lhs > rhs;
|
||||
if (ret) {
|
||||
lhs = rhs;
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
|
||||
#define functor(func) ([&](auto&&... val) \
|
||||
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
|
||||
{return func(std::forward<decltype(val)>(val)...);})
|
||||
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
|
||||
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
|
||||
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
|
||||
vector<pair<T, U>> res;
|
||||
auto a_it = a_first;
|
||||
auto b_it = b_first;
|
||||
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
|
||||
res.emplace_back(*a_it, *b_it);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
|
||||
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
|
||||
vector<pair<T, U>> res;
|
||||
if (n > 0) {
|
||||
res.emplace_back(*a_first, *b_first);
|
||||
for (size_t i = 1; i != n; ++i) {
|
||||
res.emplace_back(*++a_first, *++b_first);
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
template <typename T>
|
||||
class ArithmeticIterator : bidirectional_iterator_tag {
|
||||
public:
|
||||
using difference_type = ptrdiff_t;
|
||||
using value_type = T;
|
||||
private:
|
||||
value_type value;
|
||||
public:
|
||||
ArithmeticIterator(const T& value) : value(value) {}
|
||||
value_type operator*() const { return value; }
|
||||
ArithmeticIterator<T>& operator++() { ++value; return *this; }
|
||||
ArithmeticIterator<T>& operator--() { --value; return *this; }
|
||||
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
|
||||
};
|
||||
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
|
||||
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
|
||||
}
|
||||
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
|
||||
namespace detail {
|
||||
template <typename T, std::size_t...Is>
|
||||
constexpr std::array<T, sizeof...(Is)>
|
||||
make_array(const T& value, std::index_sequence<Is...>) {
|
||||
return {{(static_cast<void>(Is), value)...}};
|
||||
}
|
||||
}
|
||||
|
||||
template <typename T, std::size_t N>
|
||||
constexpr std::array<T, N> __initarray(const T& value) {
|
||||
return detail::make_array(value, std::make_index_sequence<N>());
|
||||
}
|
||||
/*******************************************************/
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
// #define TOT_TEST_CASE 10000
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
void prep() {
|
||||
}
|
||||
|
||||
__attribute__((target("lzcnt")))
|
||||
void solve() {
|
||||
read(int, n, s);
|
||||
readvec(int, a, n);
|
||||
int left = n / 2;
|
||||
vector<ll> dp(1 << left);
|
||||
unordered_map<ll, ll, safe_hash> cnt;
|
||||
faster(cnt);
|
||||
cnt[0] = 1;
|
||||
for (int i = 1; i < (1 << left); ++i) {
|
||||
int lz = lsp(i);
|
||||
dp[i] = dp[i ^ (1 << lz)] + a[lz];
|
||||
cnt[dp[i]] += 1;
|
||||
}
|
||||
int right = n - left;
|
||||
dp.assign(1 << right, 0);
|
||||
ll res = cnt.count(s) ? cnt[s] : 0;
|
||||
for (int i = 1; i < (1 << right); ++i) {
|
||||
int lz = lsp(i);
|
||||
dp[i] = dp[i ^ (1 << lz)] + a[left + lz];
|
||||
res += cnt.count(s - dp[i]) ? cnt[s - dp[i]] : 0;
|
||||
}
|
||||
cout << res << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie;
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t != (TOT_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
|
|||
|
|
@ -7,17 +7,7 @@ import io
|
|||
PRIME = 998_244_353
|
||||
|
||||
if __name__ == '__main__':
|
||||
n = 200000
|
||||
# m = n // 30
|
||||
# print(m * 30)
|
||||
# for i in range(m):
|
||||
# for j in range(30):
|
||||
# print(1 << j)
|
||||
print(n)
|
||||
n = 1000000
|
||||
print(n, n)
|
||||
for i in range(n):
|
||||
print(randint(1, 10 ** 9))
|
||||
# print(n + 30)
|
||||
# for i in range(n):
|
||||
# print(1)
|
||||
# for i in range(30):
|
||||
# print(1 << i)
|
||||
print(1, 100000)
|
||||
|
|
|
|||
Loading…
Reference in New Issue