From 4ed8513c7ad9ddd1584969618871f006ba489a88 Mon Sep 17 00:00:00 2001 From: arielherself Date: Thu, 22 Aug 2024 13:10:45 +0800 Subject: [PATCH] backup --- src/bin/a.cc | 10 +- src/bin/b.cc | 32 +-- src/bin/c.cc | 33 ++- src/bin/cf-1394b.cc | 562 +++++++++++++++++++++++++++++++++++++ src/bin/cf-1401e.cc | 581 ++++++++++++++++++++++++++++++++++++++ src/bin/cf-1411e.cc | 533 +++++++++++++++++++++++++++++++++++ src/bin/cf-1443e.cc | 541 +++++++++++++++++++++++++++++++++++ src/bin/cf-1450f.cc | 0 src/bin/cf-1455e.cc | 532 +++++++++++++++++++++++++++++++++++ src/bin/cf-1463e.cc | 582 ++++++++++++++++++++++++++++++++++++++ src/bin/cf-1469e.cc | 556 ++++++++++++++++++++++++++++++++++++ src/bin/cf-1473e.cc | 532 +++++++++++++++++++++++++++++++++++ src/bin/cf-1491e.cc | 553 ++++++++++++++++++++++++++++++++++++ src/bin/cf-1494e.cc | 535 +++++++++++++++++++++++++++++++++++ src/bin/cf-1499e.cc | 536 +++++++++++++++++++++++++++++++++++ src/bin/cf-2001c.cc | 523 ++++++++++++++++++++++++++++++++++ src/bin/cf-2001d.cc | 655 +++++++++++++++++++++++++++++++++++++++++++ src/bin/cf-2001e1.cc | 524 ++++++++++++++++++++++++++++++++++ src/bin/d.cc | 193 +++++++++---- src/bin/e1.cc | 524 ++++++++++++++++++++++++++++++++++ src/bin/std.in | 20 +- src/bin/template.cc | 1 + src/bin/test.cc | 28 +- src/bin/test.s | 146 +++------- 24 files changed, 8522 insertions(+), 210 deletions(-) create mode 100644 src/bin/cf-1394b.cc create mode 100644 src/bin/cf-1401e.cc create mode 100644 src/bin/cf-1411e.cc create mode 100644 src/bin/cf-1443e.cc create mode 100644 src/bin/cf-1450f.cc create mode 100644 src/bin/cf-1455e.cc create mode 100644 src/bin/cf-1463e.cc create mode 100644 src/bin/cf-1469e.cc create mode 100644 src/bin/cf-1473e.cc create mode 100644 src/bin/cf-1491e.cc create mode 100644 src/bin/cf-1494e.cc create mode 100644 src/bin/cf-1499e.cc create mode 100644 src/bin/cf-2001c.cc create mode 100644 src/bin/cf-2001d.cc create mode 100644 src/bin/cf-2001e1.cc create mode 100644 src/bin/e1.cc diff --git a/src/bin/a.cc b/src/bin/a.cc index e173eeb..dee437e 100644 --- a/src/bin/a.cc +++ b/src/bin/a.cc @@ -472,13 +472,11 @@ void prep() { void solve() { read(int, n); readvec(int, a, n); - sort(a.begin(), a.end()); - int m = unique(a.begin(), a.end()) - a.begin(); - if (m == 1 or m == 2 and a[1] - a[0] > 1) { - cout << "YES\n"; - } else { - cout << "NO\n"; + vector cnt(n + 1); + for (int i = 0; i < n; ++i) { + cnt[a[i]] += 1; } + cout << n - *max_element(cnt.begin(), cnt.end()) << '\n'; } int main() { diff --git a/src/bin/b.cc b/src/bin/b.cc index 4f26210..3c157f7 100644 --- a/src/bin/b.cc +++ b/src/bin/b.cc @@ -470,25 +470,19 @@ void prep() { } void solve() { - read(int, l, r, L, R); - if (l < L) { - swap(l, L); - swap(r, R); - } - if (l >= R + 1) { - cout << 1 << '\n'; - } else if (l > L and r > R) { - cout << R - l + 2 << '\n'; - } else if (l > L and r == R) { - cout << R - l + 1 << '\n'; - } else if (l > L and r < R) { - cout << r - l + 2 << '\n'; - } else if (l == L and r > R) { - cout << R - L + 1 << '\n'; - } else if (l == L and r == R) { - cout << R - L << '\n'; - } else if (l == L and r < R) { - cout << r - l + 1 << '\n'; + read(int, n); + if (n % 2 == 0) { + cout << -1 << '\n'; + } else { + vector res(n); + for (int i = 0; i <= n / 2; ++i) { + res[i] = 2 * i + 1; + } + int x = 0; + for (int i = n - 1; i > n / 2; --i) { + res[i] = (x += 2); + } + putvec(res); } } diff --git a/src/bin/c.cc b/src/bin/c.cc index 443d7ab..5d98cf6 100644 --- a/src/bin/c.cc +++ b/src/bin/c.cc @@ -470,19 +470,30 @@ void prep() { } void solve() { - read(int, n, k); - readvec(ll, a, n); - sort(a.begin(), a.end(), greater()); - for (int i = 1; i < n; i += 2) { - int use = min(k, a[i - 1] - a[i]); - k -= use; - a[i] += use; + read(int, n); + vector vis(n + 1); + vector 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; + } + } + } } - ll res = 0; - for (int i = 0; i < n; ++i) { - res += (i % 2 == 0 ? 1 : -1) * a[i]; + cout << "! "; + for (auto&& [u, v] : edges) { + cout << u << ' ' << v << ' '; } - cout << res << '\n'; + cout << endl; } int main() { diff --git a/src/bin/cf-1394b.cc b/src/bin/cf-1394b.cc new file mode 100644 index 0000000..db8740c --- /dev/null +++ b/src/bin/cf-1394b.cc @@ -0,0 +1,562 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +#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> e(n + 1); + for (int i = 0; i < m; ++i) { + read(int, u, v, w); + Edgew(e, u, v, w); + } + vector> oc((k + 1) * (k + 1) + 1); + vector exclude(k + 1, vector(k + 1)); + vector mutex((k + 1) * (k + 1) + 1, vector((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 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 +} diff --git a/src/bin/cf-1401e.cc b/src/bin/cf-1401e.cc new file mode 100644 index 0000000..d816bba --- /dev/null +++ b/src/bin/cf-1401e.cc @@ -0,0 +1,581 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +#define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 7219 +// #define TOT_TEST_CASE 10000 + +void dump() {} + +void dump_ignore() {} + +void prep() { +} + +template +struct BIT { + int n; + vector 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 line(N + 1); + line[N] = { 0, N }; + vector> 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 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 +} diff --git a/src/bin/cf-1411e.cc b/src/bin/cf-1411e.cc new file mode 100644 index 0000000..3b7fcae --- /dev/null +++ b/src/bin/cf-1411e.cc @@ -0,0 +1,533 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +#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 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 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 +} diff --git a/src/bin/cf-1443e.cc b/src/bin/cf-1443e.cc new file mode 100644 index 0000000..20326b9 --- /dev/null +++ b/src/bin/cf-1443e.cc @@ -0,0 +1,541 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +#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 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(0, ll(l + r1) * (r1 - l + 1) / 2); + vector 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 +} diff --git a/src/bin/cf-1450f.cc b/src/bin/cf-1450f.cc new file mode 100644 index 0000000..e69de29 diff --git a/src/bin/cf-1455e.cc b/src/bin/cf-1455e.cc new file mode 100644 index 0000000..a9d329f --- /dev/null +++ b/src/bin/cf-1455e.cc @@ -0,0 +1,532 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +// #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 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 +} diff --git a/src/bin/cf-1463e.cc b/src/bin/cf-1463e.cc new file mode 100644 index 0000000..b73e688 --- /dev/null +++ b/src/bin/cf-1463e.cc @@ -0,0 +1,582 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +#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 nxt(n + 1), ind(n + 1); + for (int i = 0; i < k; ++i) { + read(int, u, v); + nxt[u] = v; + ++ind[v]; + } + vector head(n + 1); + vector> link(n + 1); + vector link_order(n + 1); + vector 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 q; + for (int i = 0; i < m; ++i) { + if (ind[i] == 0) q.emplace_back(i); + } + vector 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 +} diff --git a/src/bin/cf-1469e.cc b/src/bin/cf-1469e.cc new file mode 100644 index 0000000..1092dea --- /dev/null +++ b/src/bin/cf-1469e.cc @@ -0,0 +1,556 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +// #define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 7219 +// #define TOT_TEST_CASE 10000 + +void dump() {} + +void dump_ignore() {} + +using mll1 = MLL; +using mll2 = MLL; +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 a; + for (int i = 0; i < n; ++i) { + read(char, c); + a.emplace_back(c == '1'); + } + + unordered_set 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 +} diff --git a/src/bin/cf-1473e.cc b/src/bin/cf-1473e.cc new file mode 100644 index 0000000..9ea3761 --- /dev/null +++ b/src/bin/cf-1473e.cc @@ -0,0 +1,532 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +#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> e(n + 1); + while (m--) { + read(int, u, v, w); + edgew(e, u, v, w); + } + vector dis(n + 1, INFLL); + vector> mm(n + 1, { -INF, INF }); + vector> vis(n + 1); + dis[1] = 0; + min_heap> 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 +} diff --git a/src/bin/cf-1491e.cc b/src/bin/cf-1491e.cc new file mode 100644 index 0000000..c333e21 --- /dev/null +++ b/src/bin/cf-1491e.cc @@ -0,0 +1,553 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +#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 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 lock; + + vector 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 +} diff --git a/src/bin/cf-1494e.cc b/src/bin/cf-1494e.cc new file mode 100644 index 0000000..21531a3 --- /dev/null +++ b/src/bin/cf-1494e.cc @@ -0,0 +1,535 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +#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> 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 +} diff --git a/src/bin/cf-1499e.cc b/src/bin/cf-1499e.cc new file mode 100644 index 0000000..4133ec9 --- /dev/null +++ b/src/bin/cf-1499e.cc @@ -0,0 +1,536 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +#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; + + 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(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 +} diff --git a/src/bin/cf-2001c.cc b/src/bin/cf-2001c.cc new file mode 100644 index 0000000..5d98cf6 --- /dev/null +++ b/src/bin/cf-2001c.cc @@ -0,0 +1,523 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +// #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 vis(n + 1); + vector 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 +} diff --git a/src/bin/cf-2001d.cc b/src/bin/cf-2001d.cc new file mode 100644 index 0000000..b87cc1c --- /dev/null +++ b/src/bin/cf-2001d.cc @@ -0,0 +1,655 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +// #define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 7219 +// #define TOT_TEST_CASE 10000 + +void dump() {} + +void dump_ignore() {} + +void prep() { +} + +template> class segtree { +private: + using size_type = uint64_t; + using info_type = Addable_Info_t; + using tag_type = Tag_t; + size_type _max; + vector d; + vector 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& 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> bk(n + 1); + for (int i = 0; i < n; ++i) { + bk[a[i]].emplace_back(i); + } + segtree tr(n); + for (int i = 0; i < n; ++i) { + tr.set(i, { + .minval = a[i], + .minpos = i, + .maxval = a[i], + .maxpos = i, + }); + } + vector res; + set 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 +} diff --git a/src/bin/cf-2001e1.cc b/src/bin/cf-2001e1.cc new file mode 100644 index 0000000..8bb313f --- /dev/null +++ b/src/bin/cf-2001e1.cc @@ -0,0 +1,524 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +// #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(k + 1)); + vector dp1(n + 1, vector(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 curr(k + 1); + vector 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 +} diff --git a/src/bin/d.cc b/src/bin/d.cc index baea3c0..b87cc1c 100644 --- a/src/bin/d.cc +++ b/src/bin/d.cc @@ -469,64 +469,163 @@ void dump_ignore() {} void prep() { } -unordered_map mp = { - {'R', 0}, - {'G', 1}, - {'Y', 2}, - {'B', 3}, +template> class segtree { +private: + using size_type = uint64_t; + using info_type = Addable_Info_t; + using tag_type = Tag_t; + size_type _max; + vector d; + vector 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& 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 type(n); + read(int, n); + readvec(int, a, n); + vector> 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(16, -1)), right(n + 1, vector(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 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 res; + set 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() { diff --git a/src/bin/e1.cc b/src/bin/e1.cc new file mode 100644 index 0000000..8bb313f --- /dev/null +++ b/src/bin/e1.cc @@ -0,0 +1,524 @@ +// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2") +#pragma GCC optimize("Ofast") +/************* This code requires C++17. ***************/ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::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::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; using pil = pair; using pid = pair; +using pli = pair; using pll = pair; using pld = pair; +using pdi = pair; using pdl = pair; using pdd = pair; +using tiii = tuple; using tiil = tuple; using tiid = tuple; +using tili = tuple; using till = tuple; using tild = tuple; +using tidi = tuple; using tidl = tuple; using tidd = tuple; +using tlii = tuple; using tlil = tuple; using tlid = tuple; +using tlli = tuple; using tlll = tuple; using tlld = tuple; +using tldi = tuple; using tldl = tuple; using tldd = tuple; +using tdii = tuple; using tdil = tuple; using tdid = tuple; +using tdli = tuple; using tdll = tuple; using tdld = tuple; +using tddi = tuple; using tddl = tuple; using tddd = tuple; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; +template using oi = ostream_iterator; +template using ii = istream_iterator; + +/* 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::max(); +constexpr uint128 UINT128_MAX = numeric_limits::max(); +constexpr int128 INT128_MIN = numeric_limits::min(); +constexpr uint128 UINT128_MIN = numeric_limits::min(); + +/* random */ + +mt19937_64 rd(chrono::duration_cast(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 +#define ugt std::greater + +#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 + size_t operator()(const pair& 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 dist(PRIME); +const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd); +struct array_hash { + template + 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> 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 pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map 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 istream& operator>>(istream& in, pair& p) { + return in >> p.first >> p.second; +} +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& 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 void __read(T& x) { cin >> x; } +template 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 a(n); for (auto& x : a) cin >> x;) +#define readvec1(type, a, n) __AS_PROCEDURE(vector a((n) + 1); copy_n(ii(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 +return_t qpow(ll b, ll p) { + if (b == 0 and p != 0) return 0; + if (p == 0) return 1; + return_t half = qpow(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> decompose(ll x) { + // return (factor, count, factor ** count) + vector> 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 decompose_prime(int N) { + // return (factor, count) + vector 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 calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector 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 calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair 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 kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector 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 struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + MLL(const MLL& 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 +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +// miscancellous +template +bool chmax(T& lhs, const U& rhs) { + bool ret = lhs < rhs; + if (ret) { + lhs = rhs; + } + return ret; +} +template +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(val)...))) -> decltype(auto) \ +{return func(std::forward(val)...);}) +#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); }) +template 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 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 +vector> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) { + vector> 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 +vector> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) { + vector> 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 +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& operator++() { ++value; return *this; } + ArithmeticIterator& operator--() { --value; return *this; } + bool operator==(const ArithmeticIterator& rhs) const { return value == rhs.value; } +}; +template vector> enumerate(const vector& container) { + return zip(ArithmeticIterator(0), ArithmeticIterator(INT_MAX), container.begin(), container.end()); +} +#define initarray(init, N) (__initarray::type, (N)>(init)) +namespace detail { + template + constexpr std::array + make_array(const T& value, std::index_sequence) { + return {{(static_cast(Is), value)...}}; + } +} + +template +constexpr std::array __initarray(const T& value) { + return detail::make_array(value, std::make_index_sequence()); +} +/*******************************************************/ + +// #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(k + 1)); + vector dp1(n + 1, vector(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 curr(k + 1); + vector 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 +} diff --git a/src/bin/std.in b/src/bin/std.in index afcd933..2e55423 100644 --- a/src/bin/std.in +++ b/src/bin/std.in @@ -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 diff --git a/src/bin/template.cc b/src/bin/template.cc index cbb2df8..6810713 100644 --- a/src/bin/template.cc +++ b/src/bin/template.cc @@ -469,6 +469,7 @@ void dump_ignore() {} void prep() { } +// __attribute__((target("popcnt"))) void solve() { } diff --git a/src/bin/test.cc b/src/bin/test.cc index b18d3e4..4cf7483 100644 --- a/src/bin/test.cc +++ b/src/bin/test.cc @@ -1,26 +1,12 @@ +#pragma GCC target("popcnt") #include using namespace std; -using ll = long long; - +__attribute__((target("lzcnt"))) int main() { - int n = 100; - vector sg(n + 1); - for (int i = 1; i <= n; ++i) { - vector 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)); } diff --git a/src/bin/test.s b/src/bin/test.s index 6132893..80bbecb 100644 --- a/src/bin/test.s +++ b/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: