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SHA256:AK3cyo9tFsp7Mox7K0sYphleC8hReXhnRKxwuDT5LBc
10
src/bin/a.cc
10
src/bin/a.cc
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@ -472,13 +472,11 @@ void prep() {
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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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sort(a.begin(), a.end());
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int m = unique(a.begin(), a.end()) - a.begin();
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if (m == 1 or m == 2 and a[1] - a[0] > 1) {
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cout << "YES\n";
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} else {
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cout << "NO\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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cout << n - *max_element(cnt.begin(), cnt.end()) << '\n';
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}
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int main() {
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32
src/bin/b.cc
32
src/bin/b.cc
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@ -470,25 +470,19 @@ void prep() {
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}
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void solve() {
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read(int, l, r, L, R);
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if (l < L) {
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swap(l, L);
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swap(r, R);
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}
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if (l >= R + 1) {
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cout << 1 << '\n';
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} else if (l > L and r > R) {
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cout << R - l + 2 << '\n';
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} else if (l > L and r == R) {
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cout << R - l + 1 << '\n';
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} else if (l > L and r < R) {
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cout << r - l + 2 << '\n';
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} else if (l == L and r > R) {
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cout << R - L + 1 << '\n';
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} else if (l == L and r == R) {
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cout << R - L << '\n';
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} else if (l == L and r < R) {
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cout << r - l + 1 << '\n';
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read(int, n);
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if (n % 2 == 0) {
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cout << -1 << '\n';
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} else {
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vector<int> res(n);
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for (int i = 0; i <= n / 2; ++i) {
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res[i] = 2 * i + 1;
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}
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int x = 0;
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for (int i = n - 1; i > n / 2; --i) {
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res[i] = (x += 2);
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}
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putvec(res);
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}
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}
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33
src/bin/c.cc
33
src/bin/c.cc
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@ -470,19 +470,30 @@ void prep() {
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}
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void solve() {
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read(int, n, k);
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readvec(ll, a, n);
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sort(a.begin(), a.end(), greater());
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for (int i = 1; i < n; i += 2) {
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int use = min<int>(k, a[i - 1] - a[i]);
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k -= use;
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a[i] += use;
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read(int, n);
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vector<bool> vis(n + 1);
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vector<pii> edges;
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for (int i = 2; i <= n; ++i) {
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if (not vis[i]) {
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vis[i] = 1;
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int j = 1;
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while (1) {
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cout << "? " << j << ' ' << i << endl;
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read(int, k);
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if (k == j) {
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edges.emplace_back(i, j);
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break;
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} else {
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j = k;
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}
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}
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}
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}
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ll res = 0;
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for (int i = 0; i < n; ++i) {
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res += (i % 2 == 0 ? 1 : -1) * a[i];
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cout << "! ";
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for (auto&& [u, v] : edges) {
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cout << u << ' ' << v << ' ';
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}
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cout << res << '\n';
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cout << endl;
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}
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int main() {
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@ -0,0 +1,562 @@
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// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
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#pragma GCC optimize("Ofast")
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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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/* macro helpers */
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#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
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#define __DECOMPOSE_S(a, x) auto x = a;
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#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
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constexpr void __() {}
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#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
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#define __as_typeof(container) remove_reference<decltype(container)>::type
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/* type aliases */
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#if LONG_LONG_MAX != INT64_MAX
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using ll = int64_t;
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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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#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>; 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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template <typename T> using ii = istream_iterator<T>;
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/* constants */
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constexpr int INF = 0x3f3f3f3f;
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constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
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constexpr ll MDL = 1e9 + 7;
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constexpr ll PRIME = 998'244'353;
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constexpr ll MDL1 = 8784491;
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constexpr ll MDL2 = PRIME;
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constexpr int128 INT128_MAX = numeric_limits<int128>::max();
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constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
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constexpr int128 INT128_MIN = numeric_limits<int128>::min();
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constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
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/* random */
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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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#define popcount(x) (__builtin_popcountll(ll(x)))
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#define parity(x) (__builtin_parityll(ll(x)))
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#define msp(x) (63LL - __builtin_clzll(ll(x)))
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#define lsp(x) (__builtin_ctzll(ll(x)))
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/* arithmetic operations */
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#define mod(x, y) ((((x) % (y)) + (y)) % (y))
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/* fast pairs */
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#define upair ull
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#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
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#define u1(p) ((p) >> 32)
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#define u2(p) ((p) & ((1ULL << 32) - 1))
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#define ult std::less<upair>
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#define ugt std::greater<upair>
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#define ipair ull
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#define imake(x, y) (umake(x, y))
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#define i1(p) (int(u1(ll(p))))
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#define i2(p) (ll(u2(p) << 32) >> 32)
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struct ilt {
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bool operator()(const ipair& a, const ipair& b) const {
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if (i1(a) == i1(b)) return i2(a) < i2(b);
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else return i1(a) < i1(b);
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}
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};
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struct igt {
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bool operator()(const ipair& a, const ipair& b) const {
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if (i1(a) == i1(b)) return i2(a) > i2(b);
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else return i1(a) > i1(b);
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}
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};
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/* conditions */
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#define loop while (1)
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#define if_or(var, val) if (!(var == val)) var = val; else
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#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
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#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
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/* hash */
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struct safe_hash {
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// https://codeforces.com/blog/entry/62393
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static uint64_t splitmix64(uint64_t x) {
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// http://xorshift.di.unimi.it/splitmix64.c
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x += 0x9e3779b97f4a7c15;
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x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
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x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
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return x ^ (x >> 31);
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}
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size_t operator()(uint64_t x) const {
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static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
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return splitmix64(x + FIXED_RANDOM);
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}
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};
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struct pair_hash {
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template <typename T, typename U>
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size_t operator()(const pair<T, U>& a) const {
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auto hash1 = safe_hash()(a.first);
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auto hash2 = safe_hash()(a.second);
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if (hash1 != hash2) {
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return hash1 ^ hash2;
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}
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return hash1;
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}
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};
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uniform_int_distribution<mt19937::result_type> dist(PRIME);
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const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
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struct array_hash {
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template <typename Sequence>
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size_t operator()(const Sequence& arr) const {
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size_t pw1 = 1, pw2 = 1;
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size_t res1 = 0, res2 = 0;
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for (auto&& x : arr) {
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res1 = (res1 + x * pw1) % __array_hash_mdl1;
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res2 = (res2 + x * pw2) % __array_hash_mdl2;
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pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
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pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
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}
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return res1 + res2;
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}
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};
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/* build data structures */
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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, ...) __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, ...) __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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map<T, size_t> mp;
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for (auto&& x : st) mp[x] = ++N;
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return {N, mp};
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}
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template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_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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unordered_map<T, size_t, safe_hash> mp;
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for (auto&& x : st) mp[x] = ++N;
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return {N, mp};
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}
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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, 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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template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
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out << "{" << p.first << ", " << p.second << "}";
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return out;
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}
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template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
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void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
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using swallow = int[]; // guaranties left to right order
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(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
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}
|
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template<typename Char, typename Traits, typename... Args>
|
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decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
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os << "{";
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print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
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return os << "}";
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}
|
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template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
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for (auto&& i : vec) out << i << ' ';
|
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return out;
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}
|
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std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
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// https://stackoverflow.com/a/25115163/23881100
|
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std::ostream::sentry s( dest );
|
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if ( s ) {
|
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uint128 tmp = value < 0 ? -value : value;
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char buffer[ 128 ];
|
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char* d = std::end( buffer );
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do {
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-- d;
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*d = "0123456789"[ tmp % 10 ];
|
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tmp /= 10;
|
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} while ( tmp != 0 );
|
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if ( value < 0 ) {
|
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-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
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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;)
|
||||
#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() {
|
||||
}
|
||||
|
||||
void solve() {
|
||||
constexpr int N = 2e5;
|
||||
|
||||
read(int, n, m, k);
|
||||
vector<vector<pii>> e(n + 1);
|
||||
for (int i = 0; i < m; ++i) {
|
||||
read(int, u, v, w);
|
||||
Edgew(e, u, v, w);
|
||||
}
|
||||
vector<bitset<N>> oc((k + 1) * (k + 1) + 1);
|
||||
vector exclude(k + 1, vector<bool>(k + 1));
|
||||
vector mutex((k + 1) * (k + 1) + 1, vector<bool>((k + 1) * (k + 1) + 1));
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
sort_by_key(e[i].begin(), e[i].end(), expr(p.second, auto&& p));
|
||||
int s = e[i].size();
|
||||
for (int j = 0; j < s; ++j) {
|
||||
if (oc[s * (k + 1) + j + 1][e[i][j].first]) {
|
||||
exclude[s][j + 1] = true;
|
||||
} else {
|
||||
oc[s * (k + 1) + j + 1][e[i][j].first] = 1;
|
||||
}
|
||||
}
|
||||
}
|
||||
for (int i = 1; i <= k; ++i) {
|
||||
for (int j = 1; j <= i; ++j) {
|
||||
for (int l = 1; l < i; ++l) {
|
||||
for (int p = 1; p <= l; ++p) {
|
||||
if ((oc[i * (k + 1) + j] & oc[l * (k + 1) + p]).any()) {
|
||||
mutex[i * (k + 1) + j][l * (k + 1) + p] = true;
|
||||
mutex[l * (k + 1) + p][i * (k + 1) + j] = true;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
int res = 0;
|
||||
vector<int> st = { 0 };
|
||||
auto dfs = [&] (auto dfs, int curr) -> void {
|
||||
if (curr == k + 1) {
|
||||
for (int i = 1; i <= k; ++i) {
|
||||
if (exclude[i][st[i]]) {
|
||||
goto fi;
|
||||
}
|
||||
}
|
||||
for (int i = 1; i <= k; ++i) {
|
||||
for (int j = 1; j < i; ++j) {
|
||||
if (mutex[i * (k + 1) + st[i]][j * (k + 1) + st[j]]) {
|
||||
goto fi;
|
||||
}
|
||||
}
|
||||
}
|
||||
res += 1;
|
||||
fi:
|
||||
return;
|
||||
}
|
||||
for (int j = 1; j <= curr; ++j) {
|
||||
st.emplace_back(j);
|
||||
dfs(dfs, curr + 1);
|
||||
st.pop_back();
|
||||
}
|
||||
};
|
||||
dfs(dfs, 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 +1,581 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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 BIT {
|
||||
int n;
|
||||
vector<T> c;
|
||||
BIT(size_t n) : n(n), c(n + 1) {}
|
||||
void add(size_t i, const T& k) {
|
||||
while (i <= n) {
|
||||
c[i] += k;
|
||||
i += lowbit(i);
|
||||
}
|
||||
}
|
||||
T getsum(size_t i) {
|
||||
T res = {};
|
||||
while (i) {
|
||||
res += c[i];
|
||||
i -= lowbit(i);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
};
|
||||
|
||||
void solve() {
|
||||
constexpr int N = 1e6;
|
||||
read(int, n, m);
|
||||
vector<pii> line(N + 1);
|
||||
line[N] = { 0, N };
|
||||
vector<vector<int>> open(N + 1), close(N + 1);
|
||||
for (int i = 0; i < n; ++i) {
|
||||
read(int, y, l, r);
|
||||
open[l].emplace_back(y);
|
||||
close[r].emplace_back(y);
|
||||
}
|
||||
for (int i = 0; i < m; ++i) {
|
||||
read(int, x, l, r);
|
||||
if (l == 0) {
|
||||
line[x] = { 0, r };
|
||||
} else {
|
||||
line[x] = { 1, l };
|
||||
}
|
||||
}
|
||||
BIT<int> tr(N + 1);
|
||||
tr.add(1, 1);
|
||||
tr.add(N + 1, 1);
|
||||
ll res = 0;
|
||||
int prev = 1;
|
||||
int prev_l = 0, prev_r = N;
|
||||
for (auto&& y : open[0]) {
|
||||
tr.add(y + 1, 1);
|
||||
}
|
||||
for (auto&& y : close[0]) {
|
||||
if (tr.getsum(y + 1) - tr.getsum(y)) {
|
||||
tr.add(y + 1, -1);
|
||||
}
|
||||
}
|
||||
for (int i = 1; i <= N; ++i) {
|
||||
if (line[i] == pii { 0, 0 }) {
|
||||
continue;
|
||||
}
|
||||
for (int j = prev; j < i; ++j) {
|
||||
for (auto&& y : close[j]) {
|
||||
if (tr.getsum(y + 1) - tr.getsum(y)) {
|
||||
tr.add(y + 1, -1);
|
||||
}
|
||||
}
|
||||
}
|
||||
if (line[i].first == 0) {
|
||||
res += tr.getsum(line[i].second + 1) - tr.getsum(1);
|
||||
} else {
|
||||
res += tr.getsum(N) - tr.getsum(line[i].second);
|
||||
}
|
||||
for (int j = prev; j <= i; ++j) {
|
||||
for (auto&& y : open[j]) {
|
||||
tr.add(y + 1, 1);
|
||||
}
|
||||
for (auto&& y : close[j]) {
|
||||
if (tr.getsum(y + 1) - tr.getsum(y)) {
|
||||
tr.add(y + 1, -1);
|
||||
}
|
||||
}
|
||||
}
|
||||
prev = i + 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 +1,533 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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() {
|
||||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n);
|
||||
read(ll, s);
|
||||
vector<int> a;
|
||||
for (int i = 0; i < n; ++i) {
|
||||
read(char, c);
|
||||
a.emplace_back(c - 'a');
|
||||
s += ll(1) << a.back();
|
||||
}
|
||||
|
||||
s -= ll(1) << a.back() + 1;
|
||||
if (s < 0) {
|
||||
cout << "No\n";
|
||||
return;
|
||||
}
|
||||
debug(s);
|
||||
|
||||
vector<int> cnt(61);
|
||||
for (int i = 1; i < n - 1; ++i) {
|
||||
cnt[a[i] + 1] += 1;
|
||||
}
|
||||
|
||||
for (int i = 0; i < 60; ++i) {
|
||||
if (s & 1) {
|
||||
if (not cnt[i]) {
|
||||
cout << "No\n";
|
||||
return;
|
||||
}
|
||||
cnt[i] -= 1;
|
||||
}
|
||||
s >>= 1;
|
||||
cnt[i + 1] += cnt[i] / 2;
|
||||
}
|
||||
|
||||
cout << "Yes\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 +1,541 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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() {
|
||||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n, q);
|
||||
int N = min(n, 14);
|
||||
vector<ll> fact(N + 1);
|
||||
fact[0] = 1;
|
||||
for (int i = 1; i <= N; ++i) {
|
||||
fact[i] = fact[i - 1] * i;
|
||||
}
|
||||
|
||||
ll cnt = 0;
|
||||
while (q--) {
|
||||
read(int, op);
|
||||
if (op == 1) {
|
||||
read(int, l, r);
|
||||
if (r <= n - N) {
|
||||
cout << ll(l + r) * (r - l + 1) / 2 << '\n';
|
||||
} else {
|
||||
int r1 = n - N;
|
||||
ll res = max<ll>(0, ll(l + r1) * (r1 - l + 1) / 2);
|
||||
vector<bool> used(N + 1);
|
||||
ll curr = cnt;
|
||||
for (int j = 1; j <= N; ++j) {
|
||||
int k = curr / fact[N - j];
|
||||
int c = 0;
|
||||
for (int p = 1; p <= N; ++p) {
|
||||
if (used[p]) continue;
|
||||
if (c++ == k) {
|
||||
used[p] = 1;
|
||||
if (r1 + j <= r and r1 + j >= l) {
|
||||
res += r1 + p;
|
||||
}
|
||||
break;
|
||||
}
|
||||
}
|
||||
curr -= k * fact[N - j];
|
||||
}
|
||||
cout << res << '\n';
|
||||
}
|
||||
} else {
|
||||
read(int, x);
|
||||
cnt += x;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
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 +1,532 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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() {
|
||||
}
|
||||
|
||||
void solve() {
|
||||
readvec(pll, a, 4);
|
||||
ll res = INFLL;
|
||||
for (int i = 0; i < 2; ++i) {
|
||||
sort(a.begin(), a.end());
|
||||
ll x_min, x_max, y_min, y_max, base;
|
||||
if (max(a[0].second, a[1].second) <= min(a[2].second, a[3].second)) {
|
||||
x_min = a[2].first - a[1].first, x_max = a[3].first - a[0].first;
|
||||
y_min = 0, y_max = max(a[2].second, a[3].second) - min(a[1].second, a[0].second);
|
||||
base = a[1].first - a[0].first + a[3].first - a[2].first + a[2].second + a[3].second - a[0].second - a[1].second;
|
||||
} else if (min(a[0].second, a[1].second) >= max(a[2].second, a[3].second)) {
|
||||
x_min = a[2].first - a[1].first, x_max = a[3].first - a[0].first;
|
||||
y_min = 0, y_max = max(a[1].second, a[0].second) - min(a[2].second, a[3].second);
|
||||
base = a[1].first - a[0].first + a[3].first - a[2].first - a[2].second - a[3].second + a[0].second + a[1].second;
|
||||
} else {
|
||||
vector<ll> b(4);
|
||||
transform(a.begin(), a.end(), b.begin(), expr(p.second, auto&& p));
|
||||
sort(b.begin(), b.end());
|
||||
x_min = a[2].first - a[1].first, x_max = a[3].first - a[0].first;
|
||||
y_min = b[2] - b[1], y_max = b[3] - b[0];
|
||||
base = a[1].first - a[0].first + a[3].first - a[2].first + b[1] - b[0] + b[3] - b[2];
|
||||
}
|
||||
if (x_min > y_max) {
|
||||
chmin(res, base + 2 * (x_min - y_max));
|
||||
} else if (y_min > x_max) {
|
||||
chmin(res, base + 2 * (y_min - x_max));
|
||||
} else {
|
||||
chmin(res, base);
|
||||
}
|
||||
for (int j = 0; j < 4; ++j) {
|
||||
swap(a[j].first, a[j].second);
|
||||
}
|
||||
}
|
||||
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 +1,582 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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() {
|
||||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n, k);
|
||||
readvec1(int, a, n);
|
||||
|
||||
vector<int> nxt(n + 1), ind(n + 1);
|
||||
for (int i = 0; i < k; ++i) {
|
||||
read(int, u, v);
|
||||
nxt[u] = v;
|
||||
++ind[v];
|
||||
}
|
||||
vector<int> head(n + 1);
|
||||
vector<vector<int>> link(n + 1);
|
||||
vector<int> link_order(n + 1);
|
||||
vector<int> vis(n + 1);
|
||||
int m = 0;
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
if (ind[i] == 0) {
|
||||
int v = i;
|
||||
int o = 0;
|
||||
while (1) {
|
||||
if (vis[v]) {
|
||||
cout << 0 << '\n';
|
||||
return;
|
||||
}
|
||||
vis[v] = 1;
|
||||
link[m].emplace_back(v);
|
||||
head[v] = m;
|
||||
link_order[v] = o++;
|
||||
if (nxt[v]) {
|
||||
v = nxt[v];
|
||||
} else {
|
||||
break;
|
||||
}
|
||||
}
|
||||
++m;
|
||||
}
|
||||
}
|
||||
if (count(vis.begin() + 1, vis.end(), 0)) {
|
||||
cout << 0 << '\n';
|
||||
return;
|
||||
}
|
||||
// debug(m);
|
||||
// debug(head);
|
||||
// debugvec(link);
|
||||
adj(ch, m);
|
||||
ind.assign(m, 0);
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
if (a[i] == 0) continue;
|
||||
if (head[a[i]] == head[i]) {
|
||||
if (link_order[a[i]] > link_order[i]) {
|
||||
cout << 0 << '\n';
|
||||
return;
|
||||
}
|
||||
} else {
|
||||
Edge(ch, head[a[i]], head[i]);
|
||||
++ind[head[i]];
|
||||
}
|
||||
}
|
||||
// debug(ind);
|
||||
deque<int> q;
|
||||
for (int i = 0; i < m; ++i) {
|
||||
if (ind[i] == 0) q.emplace_back(i);
|
||||
}
|
||||
vector<int> seq;
|
||||
while (q.size()) {
|
||||
int v = q.front(); q.pop_front();
|
||||
seq.emplace_back(v);
|
||||
for (auto&& u : ch[v]) {
|
||||
if (--ind[u] == 0) {
|
||||
q.emplace_back(u);
|
||||
}
|
||||
}
|
||||
}
|
||||
// debug(seq);
|
||||
if (seq.size() != m) {
|
||||
cout << 0 << '\n';
|
||||
} else {
|
||||
for (auto&& v : seq) {
|
||||
for (auto&& u : link[v]) {
|
||||
cout << u << ' ';
|
||||
}
|
||||
}
|
||||
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 +1,556 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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 mll1 = MLL<MDL1>;
|
||||
using mll2 = MLL<MDL2>;
|
||||
constexpr int N = 1e6 + 10;
|
||||
mll1 pw1[N];
|
||||
mll2 pw2[N];
|
||||
|
||||
void prep() {
|
||||
pw1[0] = 1, pw2[0] = 1;
|
||||
for (int i = 1; i < N; ++i) {
|
||||
pw1[i] = pw1[i - 1] * 2;
|
||||
pw2[i] = pw2[i - 1] * 2;
|
||||
}
|
||||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n, k);
|
||||
vector<int> a;
|
||||
for (int i = 0; i < n; ++i) {
|
||||
read(char, c);
|
||||
a.emplace_back(c == '1');
|
||||
}
|
||||
|
||||
unordered_set<pll, pair_hash> oc;
|
||||
|
||||
mll1 h1 = 0;
|
||||
mll2 h2 = 0;
|
||||
for (int i = 0; i < n; ++i) {
|
||||
h1 = h1 * 2 + (a[i] ^ 1);
|
||||
h2 = h2 * 2 + (a[i] ^ 1);
|
||||
if (i >= k) {
|
||||
h1 -= pw1[k] * (a[i - k] ^ 1);
|
||||
h2 -= pw2[k] * (a[i - k] ^ 1);
|
||||
}
|
||||
if (i + 1 >= k) {
|
||||
oc.emplace(h1.val, h2.val);
|
||||
}
|
||||
}
|
||||
|
||||
int res = -1;
|
||||
for (int i = 0; i < n + 2; ++i) {
|
||||
if (i and lsp(i) >= k) {
|
||||
break;
|
||||
}
|
||||
if (not oc.count({ i, i })) {
|
||||
res = i;
|
||||
break;
|
||||
}
|
||||
}
|
||||
|
||||
if (res == -1) {
|
||||
cout << "NO\n";
|
||||
} else {
|
||||
cout << "YES\n";
|
||||
string out;
|
||||
for (int i = 0; i < k; ++i) {
|
||||
out.push_back('0' + (res & 1));
|
||||
res >>= 1;
|
||||
}
|
||||
reverse(out.begin(), out.end());
|
||||
cout << out << '\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 +1,532 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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() {
|
||||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n, m);
|
||||
vector<vector<pii>> e(n + 1);
|
||||
while (m--) {
|
||||
read(int, u, v, w);
|
||||
edgew(e, u, v, w);
|
||||
}
|
||||
vector<ll> dis(n + 1, INFLL);
|
||||
vector<array<int, 2>> mm(n + 1, { -INF, INF });
|
||||
vector<array<bool, 2>> vis(n + 1);
|
||||
dis[1] = 0;
|
||||
min_heap<tuple<ll, ll, int, int, int, bool>> q;
|
||||
q.emplace(0, 0, INF, -INF, 1, 0);
|
||||
while (q.size()) {
|
||||
poptop(q, d, s, mn, mx, v, dir);
|
||||
continue_or(vis[v][dir], 1);
|
||||
for (auto&& [u, w] : e[v]) {
|
||||
ll s1 = s + w;
|
||||
int mn1 = min(mn, w);
|
||||
int mx1 = max(mx, w);
|
||||
ll d1 = s1 - mx1 + mn1;
|
||||
if (d1 < dis[u] or d1 == dis[u] and mn1 > mm[u][0]) {
|
||||
dis[u] = d1, mm[u][0] = mn1;
|
||||
q.emplace(dis[u], s1, mn1, mx1, u, 0);
|
||||
}
|
||||
if (d1 < dis[u] or d1 == dis[u] and mx1 < mm[u][1]) {
|
||||
dis[u] = d1, mm[u][1] = mx1;
|
||||
q.emplace(dis[u], s1, mn1, mx1, u, 1);
|
||||
}
|
||||
}
|
||||
}
|
||||
for (int i = 2; i <= n; ++i) {
|
||||
cout << dis[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 +1,553 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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() {
|
||||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n);
|
||||
|
||||
vector<int> fib = { 1, 1 };
|
||||
while (fib.back() < n) {
|
||||
fib.emplace_back(fib.back() + fib[fib.size() - 2]);
|
||||
}
|
||||
|
||||
adj(ch, n);
|
||||
for (int i = 0; i < n - 1; ++i) {
|
||||
read(int, u, v);
|
||||
edge(ch, u, v);
|
||||
}
|
||||
|
||||
unordered_set<pii, pair_hash> lock;
|
||||
|
||||
vector<int> sz(n + 1);
|
||||
|
||||
auto dfs = [&] (auto dfs, int root, int up, int m) -> bool {
|
||||
int n = fib[m];
|
||||
if (n == 1) return true;
|
||||
auto dfs1 = [&] (auto dfs1, int v, int pa) -> void {
|
||||
sz[v] = 1;
|
||||
for (auto&& u : ch[v]) {
|
||||
if (u == pa or lock.count(minmax(u, v))) continue;
|
||||
dfs1(dfs1, u, v);
|
||||
sz[v] += sz[u];
|
||||
}
|
||||
};
|
||||
dfs1(dfs1, root, up);
|
||||
int s = -1, t = -1, layer;
|
||||
auto dfs2 = [&] (auto dfs2, int v, int pa) -> void {
|
||||
for (auto&& u : ch[v]) {
|
||||
if (u == pa or lock.count(minmax(u, v))) continue;
|
||||
if (sz[u] == fib[m - 1] or sz[u] == fib[m - 2]) {
|
||||
s = v, t = u, layer = sz[u] == fib[m - 1] ? m - 1 : m - 2;
|
||||
return;
|
||||
}
|
||||
dfs2(dfs2, u, v);
|
||||
}
|
||||
};
|
||||
dfs2(dfs2, root, up);
|
||||
if (s == -1) {
|
||||
return false;
|
||||
} else {
|
||||
lock.emplace(minmax(s, t));
|
||||
return dfs(dfs, t, s, layer) and dfs(dfs, s, t, layer == m - 1 ? m - 2 : m - 1);
|
||||
}
|
||||
};
|
||||
|
||||
if (fib.back() == n and dfs(dfs, 1, 0, fib.size() - 1)) {
|
||||
cout << "YES\n";
|
||||
} else {
|
||||
cout << "NO\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 +1,535 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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() {
|
||||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n, m);
|
||||
vector<unordered_map<int, char, safe_hash>> ch(n + 1);
|
||||
int oc = 0, eq = 0;;
|
||||
while (m--) {
|
||||
read(char, op);
|
||||
if (op == '+') {
|
||||
read(int, u, v);
|
||||
read(char, c);
|
||||
ch[u][v] = c;
|
||||
if (ch[v].count(u)) {
|
||||
int d = ch[v][u];
|
||||
if (c == d) {
|
||||
eq += 1;
|
||||
}
|
||||
oc += 1;
|
||||
}
|
||||
} else if (op == '-') {
|
||||
read(int, u, v);
|
||||
if (ch[v].count(u)) {
|
||||
int c = ch[u][v];
|
||||
int d = ch[v][u];
|
||||
if (c == d) {
|
||||
eq -= 1;
|
||||
}
|
||||
oc -= 1;
|
||||
}
|
||||
ch[u].erase(v);
|
||||
} else {
|
||||
read(int, k);
|
||||
if (k % 2 == 0 and eq or k % 2 == 1 and oc) {
|
||||
cout << "YES\n";
|
||||
} else {
|
||||
cout << "NO\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 +1,536 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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() {
|
||||
}
|
||||
|
||||
void solve() {
|
||||
using mll = MLL<PRIME>;
|
||||
|
||||
read(string, a, b);
|
||||
int n = a.size(), m = b.size();
|
||||
a.insert(a.begin(), 0);
|
||||
b.insert(b.begin(), 1);
|
||||
|
||||
vector dp(n + 1, vector(m + 1, vector<mll>(2)));
|
||||
dp[0][0][0] = dp[0][0][1] = 1;
|
||||
mll res = 0;
|
||||
for (int i = 0; i <= n; ++i) {
|
||||
for (int j = 0; j <= m; ++j) {
|
||||
if (i + j == 0) continue;
|
||||
if (a[i] != b[j]) {
|
||||
if (i != 0) dp[i][j][0] += dp[0][j][1];
|
||||
if (j != 0) dp[i][j][1] += dp[i][0][0];
|
||||
}
|
||||
if (i > 1 and a[i] != b[j]) {
|
||||
dp[i][j][0] += dp[i - 1][j][1];
|
||||
}
|
||||
if (i > 1 and a[i] != a[i - 1]) {
|
||||
dp[i][j][0] += dp[i - 1][j][0];
|
||||
}
|
||||
if (j > 1 and a[i] != b[j]) {
|
||||
dp[i][j][1] += dp[i][j - 1][0];
|
||||
}
|
||||
if (j > 1 and b[j] != b[j - 1]) {
|
||||
dp[i][j][1] += dp[i][j - 1][1];
|
||||
}
|
||||
if (i and j) {
|
||||
// deb(i, j, dp[i][j][0], dp[i][j][1]);
|
||||
res += dp[i][j][0] + dp[i][j][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 +1,523 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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() {
|
||||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n);
|
||||
vector<bool> vis(n + 1);
|
||||
vector<pii> edges;
|
||||
for (int i = 2; i <= n; ++i) {
|
||||
if (not vis[i]) {
|
||||
vis[i] = 1;
|
||||
int j = 1;
|
||||
while (1) {
|
||||
cout << "? " << j << ' ' << i << endl;
|
||||
read(int, k);
|
||||
if (k == j) {
|
||||
edges.emplace_back(i, j);
|
||||
break;
|
||||
} else {
|
||||
j = k;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
cout << "! ";
|
||||
for (auto&& [u, v] : edges) {
|
||||
cout << u << ' ' << v << ' ';
|
||||
}
|
||||
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 +1,655 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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 minval = INF, minpos = 0, maxval = -INF, maxpos = 0;
|
||||
void apply(const Tag& rhs, size_t len) { }
|
||||
};
|
||||
Info operator+(const Info &a, const Info &b) {
|
||||
return {
|
||||
.minval = min(a.minval, b.minval),
|
||||
.minpos = a.minval < b.minval ? a.minpos : a.minval > b.minval ? b.minpos : min(a.minpos, b.minpos),
|
||||
.maxval = max(a.maxval, b.maxval),
|
||||
.maxpos = a.maxval > b.maxval ? a.maxpos : a.maxval < b.maxval ? b.maxpos : min(a.maxpos, b.maxpos),
|
||||
};
|
||||
}
|
||||
|
||||
void solve() {
|
||||
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);
|
||||
}
|
||||
segtree<Info, Tag> tr(n);
|
||||
for (int i = 0; i < n; ++i) {
|
||||
tr.set(i, {
|
||||
.minval = a[i],
|
||||
.minpos = i,
|
||||
.maxval = a[i],
|
||||
.maxpos = i,
|
||||
});
|
||||
}
|
||||
vector<int> res;
|
||||
set<int> st;
|
||||
for (int i = 0; i <= n; ++i) {
|
||||
if (bk[i].size()) {
|
||||
st.emplace(bk[i].back());
|
||||
};
|
||||
}
|
||||
int start = 0;
|
||||
int neg = 1;
|
||||
while (st.size()) {
|
||||
int t = *st.begin();
|
||||
int curr;
|
||||
if (neg) {
|
||||
curr = tr.range_query(start, t).maxpos;
|
||||
} else {
|
||||
curr = tr.range_query(start, t).minpos;
|
||||
}
|
||||
res.emplace_back(a[curr]);
|
||||
for (auto&& j : bk[a[curr]]) {
|
||||
tr.set(j, {
|
||||
.minval = INF,
|
||||
.minpos = j,
|
||||
.maxval = -INF,
|
||||
.maxpos = j,
|
||||
});
|
||||
}
|
||||
st.erase(bk[a[curr]].back());
|
||||
neg ^= 1;
|
||||
start = curr + 1;
|
||||
}
|
||||
cout << res.size() << '\n';
|
||||
putvec(res);
|
||||
}
|
||||
|
||||
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 +1,524 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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() {
|
||||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n, k, p);
|
||||
vector dp(n + 1, vector<ll>(k + 1));
|
||||
vector dp1(n + 1, vector<ll>(k + 1));
|
||||
for (int j = 0; j <= k; ++j) {
|
||||
dp[1][j] = 1;
|
||||
dp1[1][j] = 1;
|
||||
}
|
||||
for (int i = 2; i <= n; ++i) {
|
||||
vector<ll> curr(k + 1);
|
||||
vector<ll> curr1(k + 1);
|
||||
for (int j = 0; j <= k; ++j) {
|
||||
for (int l = 0; l <= j; ++l) {
|
||||
curr1[j] = (curr1[j] + ((dp1[i - 1][l] * dp1[i - 1][j - l]) % p)) % p;
|
||||
if (l == j - l) continue;
|
||||
if (l > j - l) {
|
||||
curr[j] = (curr[j] + ((dp[i - 1][l] * dp1[i - 1][j - l]) % p)) % p;
|
||||
} else {
|
||||
curr[j] = (curr[j] + ((dp1[i - 1][l] * dp[i - 1][j - l]) % p)) % p;
|
||||
}
|
||||
}
|
||||
}
|
||||
partial_sum(curr.begin(), curr.end(), dp[i].begin(), expr((x + y) % p, ll x, ll y));
|
||||
partial_sum(curr1.begin(), curr1.end(), dp1[i].begin(), expr((x + y) % p, ll x, ll y));
|
||||
}
|
||||
cout << dp[n][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
|
||||
}
|
||||
193
src/bin/d.cc
193
src/bin/d.cc
|
|
@ -469,64 +469,163 @@ void dump_ignore() {}
|
|||
void prep() {
|
||||
}
|
||||
|
||||
unordered_map<char, int> mp = {
|
||||
{'R', 0},
|
||||
{'G', 1},
|
||||
{'Y', 2},
|
||||
{'B', 3},
|
||||
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 minval = INF, minpos = 0, maxval = -INF, maxpos = 0;
|
||||
void apply(const Tag& rhs, size_t len) { }
|
||||
};
|
||||
Info operator+(const Info &a, const Info &b) {
|
||||
return {
|
||||
.minval = min(a.minval, b.minval),
|
||||
.minpos = a.minval < b.minval ? a.minpos : a.minval > b.minval ? b.minpos : min(a.minpos, b.minpos),
|
||||
.maxval = max(a.maxval, b.maxval),
|
||||
.maxpos = a.maxval > b.maxval ? a.maxpos : a.maxval < b.maxval ? b.maxpos : min(a.maxpos, b.maxpos),
|
||||
};
|
||||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n, q);
|
||||
vector<int> type(n);
|
||||
read(int, n);
|
||||
readvec(int, a, n);
|
||||
vector<vector<int>> bk(n + 1);
|
||||
for (int i = 0; i < n; ++i) {
|
||||
read(string, s);
|
||||
type[i] = mp[s[0]] * 4 + mp[s[1]];
|
||||
bk[a[i]].emplace_back(i);
|
||||
}
|
||||
|
||||
vector left(n + 1, vector<int>(16, -1)), right(n + 1, vector<int>(16, -1));
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
for (int j = 0; j < 16; ++j) {
|
||||
if (type[i - 1] == j) {
|
||||
left[i][j] = i - 1;
|
||||
} else {
|
||||
left[i][j] = left[i - 1][j];
|
||||
}
|
||||
}
|
||||
segtree<Info, Tag> tr(n);
|
||||
for (int i = 0; i < n; ++i) {
|
||||
tr.set(i, {
|
||||
.minval = a[i],
|
||||
.minpos = i,
|
||||
.maxval = a[i],
|
||||
.maxpos = i,
|
||||
});
|
||||
}
|
||||
for (int i = n - 1; ~i; --i) {
|
||||
for (int j = 0; j < 16; ++j) {
|
||||
if (type[i] == j) {
|
||||
right[i][j] = i;
|
||||
} else {
|
||||
right[i][j] = right[i + 1][j];
|
||||
}
|
||||
}
|
||||
vector<int> res;
|
||||
set<int> st;
|
||||
for (int i = 0; i <= n; ++i) {
|
||||
if (bk[i].size()) {
|
||||
st.emplace(bk[i].back());
|
||||
};
|
||||
}
|
||||
|
||||
auto check = [] (int x, int y) {
|
||||
if ((x >> 2 & 3) != (y & 3) and (x >> 2 & 3) != (y >> 2 & 3) and (x & 3) != (y >> 2 & 3) and (x & 3) != (y & 3)) {
|
||||
return false;
|
||||
int start = 0;
|
||||
int neg = 1;
|
||||
while (st.size()) {
|
||||
int t = *st.begin();
|
||||
int curr;
|
||||
if (neg) {
|
||||
curr = tr.range_query(start, t).maxpos;
|
||||
} else {
|
||||
return true;
|
||||
curr = tr.range_query(start, t).minpos;
|
||||
}
|
||||
};
|
||||
|
||||
while (q--) {
|
||||
read(int, u, v);
|
||||
--u, --v;
|
||||
int res = INF;
|
||||
for (int j = 0; j < 16; ++j) {
|
||||
if (not check(j, type[u]) or not check(j, type[v])) {
|
||||
continue;
|
||||
}
|
||||
for (int w : { left[u][j], right[u][j] }) {
|
||||
if (w == -1) continue;
|
||||
chmin(res, abs(u - w) + abs(v - w));
|
||||
}
|
||||
res.emplace_back(a[curr]);
|
||||
for (auto&& j : bk[a[curr]]) {
|
||||
tr.set(j, {
|
||||
.minval = INF,
|
||||
.minpos = j,
|
||||
.maxval = -INF,
|
||||
.maxpos = j,
|
||||
});
|
||||
}
|
||||
cout << (res == INF ? -1 : res) << '\n';
|
||||
st.erase(bk[a[curr]].back());
|
||||
neg ^= 1;
|
||||
start = curr + 1;
|
||||
}
|
||||
cout << res.size() << '\n';
|
||||
putvec(res);
|
||||
}
|
||||
|
||||
int main() {
|
||||
|
|
|
|||
|
|
@ -0,0 +1,524 @@
|
|||
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
|
||||
#pragma GCC optimize("Ofast")
|
||||
/************* 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 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, ...) __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() {
|
||||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n, k, p);
|
||||
vector dp(n + 1, vector<ll>(k + 1));
|
||||
vector dp1(n + 1, vector<ll>(k + 1));
|
||||
for (int j = 0; j <= k; ++j) {
|
||||
dp[1][j] = 1;
|
||||
dp1[1][j] = 1;
|
||||
}
|
||||
for (int i = 2; i <= n; ++i) {
|
||||
vector<ll> curr(k + 1);
|
||||
vector<ll> curr1(k + 1);
|
||||
for (int j = 0; j <= k; ++j) {
|
||||
for (int l = 0; l <= j; ++l) {
|
||||
curr1[j] = (curr1[j] + ((dp1[i - 1][l] * dp1[i - 1][j - l]) % p)) % p;
|
||||
if (l == j - l) continue;
|
||||
if (l > j - l) {
|
||||
curr[j] = (curr[j] + ((dp[i - 1][l] * dp1[i - 1][j - l]) % p)) % p;
|
||||
} else {
|
||||
curr[j] = (curr[j] + ((dp1[i - 1][l] * dp[i - 1][j - l]) % p)) % p;
|
||||
}
|
||||
}
|
||||
}
|
||||
partial_sum(curr.begin(), curr.end(), dp[i].begin(), expr((x + y) % p, ll x, ll y));
|
||||
partial_sum(curr1.begin(), curr1.end(), dp1[i].begin(), expr((x + y) % p, ll x, ll y));
|
||||
}
|
||||
cout << dp[n][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
|
||||
}
|
||||
|
|
@ -1,3 +1,19 @@
|
|||
5
|
||||
0 11 12 13 14
|
||||
6 9 2
|
||||
|
||||
3 1 1
|
||||
|
||||
2 5 2
|
||||
|
||||
1 6 3
|
||||
|
||||
6 2 4
|
||||
|
||||
5 4 5
|
||||
|
||||
5 1 6
|
||||
|
||||
1 4 7
|
||||
|
||||
4 3 8
|
||||
|
||||
4 1 9
|
||||
|
|
|
|||
|
|
@ -469,6 +469,7 @@ void dump_ignore() {}
|
|||
void prep() {
|
||||
}
|
||||
|
||||
// __attribute__((target("popcnt")))
|
||||
void solve() {
|
||||
}
|
||||
|
||||
|
|
|
|||
|
|
@ -1,26 +1,12 @@
|
|||
#pragma GCC target("popcnt")
|
||||
#include <bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
using ll = long long;
|
||||
|
||||
__attribute__((target("lzcnt")))
|
||||
int main() {
|
||||
int n = 100;
|
||||
vector<int> sg(n + 1);
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
vector<int> has(n + 2);
|
||||
for (int j = 1; j <= i; ++j) {
|
||||
if (gcd(j, i) == 1) {
|
||||
has[sg[j]] = 1;
|
||||
}
|
||||
}
|
||||
for (int j = 0; j < n + 2; ++j) {
|
||||
if (not has[j]) {
|
||||
sg[i] = j;
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
for (int i = 0; i <= n; ++i) {
|
||||
cout << i << ' ' << sg[i] << '\n';
|
||||
}
|
||||
int x;
|
||||
cin >> x;
|
||||
cout << __builtin_clzll(x) << '\n';
|
||||
// scanf("%d", &x);
|
||||
// printf("%d\n", __builtin_popcount(x));
|
||||
}
|
||||
|
|
|
|||
146
src/bin/test.s
146
src/bin/test.s
|
|
@ -1,116 +1,54 @@
|
|||
.file "test.cc"
|
||||
.text
|
||||
#APP
|
||||
.globl _ZSt21ios_base_library_initv
|
||||
#NO_APP
|
||||
.section .text.startup,"ax",@progbits
|
||||
.p2align 4
|
||||
.globl _Z5solvePiiS_i
|
||||
.type _Z5solvePiiS_i, @function
|
||||
_Z5solvePiiS_i:
|
||||
.LFB0:
|
||||
.globl main
|
||||
.type main, @function
|
||||
main:
|
||||
.LFB9872:
|
||||
.cfi_startproc
|
||||
endbr64
|
||||
pushq %r14
|
||||
.cfi_def_cfa_offset 16
|
||||
.cfi_offset 14, -16
|
||||
pushq %rbx
|
||||
.cfi_def_cfa_offset 24
|
||||
.cfi_offset 3, -24
|
||||
cmpl %esi, %ecx
|
||||
jge .L10
|
||||
movl %esi, %r10d
|
||||
movq %rdx, %r11
|
||||
movl %ecx, %r8d
|
||||
xorl %r9d, %r9d
|
||||
subl %ecx, %r10d
|
||||
xorl %ebx, %ebx
|
||||
.p2align 4,,10
|
||||
.p2align 3
|
||||
subq $24, %rsp
|
||||
.cfi_def_cfa_offset 32
|
||||
movq _ZSt3cin@GOTPCREL(%rip), %rdi
|
||||
movq %fs:40, %rax
|
||||
movq %rax, 8(%rsp)
|
||||
xorl %eax, %eax
|
||||
leaq 4(%rsp), %rsi
|
||||
call _ZNSirsERi@PLT
|
||||
movslq 4(%rsp), %rsi
|
||||
movq _ZSt4cout@GOTPCREL(%rip), %rdi
|
||||
lzcntq %rsi, %rsi
|
||||
call _ZNSolsEi@PLT
|
||||
movb $10, 3(%rsp)
|
||||
movq %rax, %rdi
|
||||
movq (%rax), %rax
|
||||
movq -24(%rax), %rax
|
||||
cmpq $0, 16(%rdi,%rax)
|
||||
je .L2
|
||||
leaq 3(%rsp), %rsi
|
||||
movl $1, %edx
|
||||
call _ZSt16__ostream_insertIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_PKS3_l@PLT
|
||||
.L3:
|
||||
movq %r11, %rdx
|
||||
movl %r9d, %eax
|
||||
testl %ecx, %ecx
|
||||
jg .L8
|
||||
jmp .L14
|
||||
.p2align 4,,10
|
||||
.p2align 3
|
||||
.L4:
|
||||
testl %esi, %esi
|
||||
movq 8(%rsp), %rax
|
||||
subq %fs:40, %rax
|
||||
jne .L7
|
||||
movslq %eax, %rsi
|
||||
movl (%rdi,%rsi,4), %r14d
|
||||
cmpl %r14d, 4(%rdi,%rsi,4)
|
||||
jne .L5
|
||||
.L6:
|
||||
addl $1, %eax
|
||||
addq $4, %rdx
|
||||
cmpl %eax, %r8d
|
||||
je .L14
|
||||
.L8:
|
||||
movl (%rdx), %esi
|
||||
cmpl $1, %esi
|
||||
jne .L4
|
||||
movslq %eax, %rsi
|
||||
movl (%rdi,%rsi,4), %r14d
|
||||
cmpl %r14d, 4(%rdi,%rsi,4)
|
||||
jg .L6
|
||||
.L5:
|
||||
addl $1, %r9d
|
||||
addl $1, %r8d
|
||||
cmpl %r9d, %r10d
|
||||
jne .L3
|
||||
.L1:
|
||||
movl %ebx, %eax
|
||||
popq %rbx
|
||||
xorl %eax, %eax
|
||||
addq $24, %rsp
|
||||
.cfi_remember_state
|
||||
.cfi_def_cfa_offset 16
|
||||
popq %r14
|
||||
.cfi_def_cfa_offset 8
|
||||
ret
|
||||
.p2align 4,,10
|
||||
.p2align 3
|
||||
.L7:
|
||||
.L2:
|
||||
.cfi_restore_state
|
||||
cmpl $-1, %esi
|
||||
jne .L6
|
||||
movslq %eax, %rsi
|
||||
movl (%rdi,%rsi,4), %r14d
|
||||
cmpl %r14d, 4(%rdi,%rsi,4)
|
||||
jge .L5
|
||||
addl $1, %eax
|
||||
addq $4, %rdx
|
||||
cmpl %eax, %r8d
|
||||
jne .L8
|
||||
.L14:
|
||||
addl $1, %r9d
|
||||
addl $1, %ebx
|
||||
addl $1, %r8d
|
||||
cmpl %r9d, %r10d
|
||||
jne .L3
|
||||
jmp .L1
|
||||
.L10:
|
||||
xorl %ebx, %ebx
|
||||
movl %ebx, %eax
|
||||
popq %rbx
|
||||
.cfi_def_cfa_offset 16
|
||||
popq %r14
|
||||
.cfi_def_cfa_offset 8
|
||||
ret
|
||||
movl $10, %esi
|
||||
call _ZNSo3putEc@PLT
|
||||
jmp .L3
|
||||
.L7:
|
||||
call __stack_chk_fail@PLT
|
||||
.cfi_endproc
|
||||
.LFE0:
|
||||
.size _Z5solvePiiS_i, .-_Z5solvePiiS_i
|
||||
.ident "GCC: (Ubuntu 13.2.0-4ubuntu3) 13.2.0"
|
||||
.LFE9872:
|
||||
.size main, .-main
|
||||
.ident "GCC: (GNU) 13.2.0"
|
||||
.section .note.GNU-stack,"",@progbits
|
||||
.section .note.gnu.property,"a"
|
||||
.align 8
|
||||
.long 1f - 0f
|
||||
.long 4f - 1f
|
||||
.long 5
|
||||
0:
|
||||
.string "GNU"
|
||||
1:
|
||||
.align 8
|
||||
.long 0xc0000002
|
||||
.long 3f - 2f
|
||||
2:
|
||||
.long 0x3
|
||||
3:
|
||||
.align 8
|
||||
4:
|
||||
|
|
|
|||
Loading…
Reference in New Issue