From a05981ad8d4fc35eca734cd0524d0fcc44a346a8 Mon Sep 17 00:00:00 2001 From: subcrip Date: Thu, 9 May 2024 11:26:34 +0800 Subject: [PATCH] backup --- src/bin/a.out | Bin 1770344 -> 1956464 bytes src/bin/cf-1834e.cc | 423 ++++++++++++++++++++++++++++++++++++++++ src/bin/cf-1861e.cc | 392 +++++++++++++++++++++++++++++++++++++ src/bin/cf-1870e.cc | 446 +++++++++++++++++++++++++++++++++++++++++++ src/bin/cf-1874c.cc | 402 ++++++++++++++++++++++++++++++++++++++ src/bin/cf-1878f.cc | 437 ++++++++++++++++++++++++++++++++++++++++++ src/bin/cf-1879d.cc | 393 ++++++++++++++++++++++++++++++++------ src/bin/cf-1882d.cc | 426 +++++++++++++++++++++++++++++++++++++++++ src/bin/cf-938d.cc | 402 ++++++++++++++++++++++++++++++++++++++ src/bin/ctext_out.cc | 57 +++--- src/bin/std.in | 18 +- src/bin/template.cc | 18 ++ src/bin/test.cc | 44 +---- src/bin/test.py | 38 ++-- 14 files changed, 3344 insertions(+), 152 deletions(-) create mode 100644 src/bin/cf-1834e.cc create mode 100644 src/bin/cf-1861e.cc 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z^BM==@ufQig8pJ})(k2^;#aC*^P2}LZ0-4)a{RDu@DHCCxW?Df>(DMZ)VuZ?U%>mj z9aZbs?;-82y~ek|TN@4z^j7Z;)J``&Ex4$vx8jOGiI?jfY|la0?~&fBdEL4M*Lsn- z@ACBJX9Rosyjd?&Ol+O-o#BPL2Ji3=oEt1jf6z79xRSRuM0K%ck6Boc^?baB)$3;lNL{_qLB*Xy0G-?_kHe3QJ< zHwEAJd`p@H)0Zq}-3%xS)Z#$rwYw$Q&)eEM*f9OcEy4S!edtexi#_P8?0t1laIn;A zcK7teWkCX0lm=>gA-}J3`t}vUjL-Y*VP7NfKn==l!TrI_RlW2*O=_j5JRA&GO0Rx2 z7^>tQx6XIG_xHNsyWXaCzLx3WlsJNs&Q12+fTdV^O`{7P*OwzM(WqZnLs*~|2=h7VEQ z8uN1SGh0Wzr@m}bFFoy*-~gXAR7WzwE=At2tpjz_<6a9MU+n!ckczr`M{q}_^cC+0 z$NPMXz4x-gc6CSM{wVinZnIbSz2K>Jx@?j;4fp3^@4WYd?T!u8Wj*{0dpExq>|8hY zmi*KGSvtVm#i=uOr9z&oA=uxE z-u7L=PIXK1Z};cV^}M>fiLQ5NnR)Kr**j-$Czh}y04$7Cux_fm$qC7UVl%tWy zlz2n=- +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) decltype(container)::value_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; +using ld = long double; +#endif +using int128 = __int128_t; +using uint128 = __uint128_t; +using pii = pair; +using pil = pair; +using pli = pair; +using pll = pair; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; + +/* 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 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 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 Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);) +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 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 (int i = 0; i < (n); ++i) cin >> a[i];) +#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;) +#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;) +#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;) +template 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; +} + +/* 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 */ +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) { + 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; +} + +/* 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; +} +///////////////////////////////////////////////////////// + +// #define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 7219 + +void dump() {} + +void dump_ignore() {} + +void prep() {} + +void solve() { + read(int, n); + readvec(int, b, n); + vector a; + bool has_1 = 0; + for (int i = 0; i < n; ++i) { + if (b[i] == 1) { + has_1 = 1; + } else { + a.emplace_back(b[i]); + } + } + int m = a.size(); + vector next(m); + vector st; + for (int i = m - 1; ~i; --i) { + while (st.size() and gcd(a[i], a[st.back()]) == a[st.back()]) { + st.pop_back(); + } + if (not st.size()) { + next[i] = m; + } else { + next[i] = st.back(); + } + st.emplace_back(i); + } + int ub = 20 * m + 200; + vector> ss_lcm(m); + vector has(ub); + if (has_1) has[1] = 1; + for (int i = m - 1; ~i; --i) { + if (a[i] >= ub) continue; + has[a[i]] = 1; + ss_lcm[i].emplace_back(a[i]); + if (next[i] == m) continue; + int prev = 0; + for (auto&& u : ss_lcm[next[i]]) { + ll curr = lcm(a[i], u); + if (curr >= ub) break; + if (curr != prev) { + has[curr] = 1; + ss_lcm[i].emplace_back(curr); + prev = curr; + } + } + } + for (int i = 1; i < ub; ++i) { + if (not has[i]) { + cout << i << '\n'; + return; + } + } + assert(false); +} + +int main() { +#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__) + assert(false && "incompatible compiler variant detected."); +#endif + untie, cout.tie(NULL); + prep(); +#ifdef SINGLE_TEST_CASE + solve(); +#else + read(int, t); + for (int i = 0; i < t; ++i) { +#ifdef DUMP_TEST_CASE + if (t < (DUMP_TEST_CASE)) { + solve(); + } else if (i + 1 == (DUMP_TEST_CASE)) { + dump(); + } else { + dump_ignore(); + } +#else + solve(); +#endif + } +#endif +} diff --git a/src/bin/cf-1861e.cc b/src/bin/cf-1861e.cc new file mode 100644 index 0000000..7755d6d --- /dev/null +++ b/src/bin/cf-1861e.cc @@ -0,0 +1,392 @@ +#pragma GCC optimize("Ofast") +///////////////////////////////////////////////////////// +/** + * Useful Macros + * by subcrip + * (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) decltype(container)::value_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; +using ld = long double; +#endif +using int128 = __int128_t; +using uint128 = __uint128_t; +using pii = pair; +using pil = pair; +using pli = pair; +using pll = pair; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; + +/* 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 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 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 Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);) +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 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 (int i = 0; i < (n); ++i) cin >> a[i];) +#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;) +#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;) +#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;) +template 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; +} + +/* 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 */ +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) { + 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; +} + +/* 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; +} +///////////////////////////////////////////////////////// + +// #define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 7219 + +void dump() {} + +void dump_ignore() {} + +constexpr int MAXN = 4090; +using mll = MLL; +mll fact[MAXN]; +void prep() { + fact[0] = 1; + for (int i = 1; i < MAXN; ++i) { + fact[i] = fact[i - 1] * i; + } +} + +mll comb(int n, int k) { + if (n < 0 or k < 0 or n < k) return 0; + return fact[n] / fact[k] / fact[n - k]; +} + +void solve() { + read(int, n, k); + vector cstr(n + 1); + for (int i = 1; i <= n; ++i) { + mll curr = 0; + for (int j = 1; j <= n / k; ++j) { + + } + } +} + +int main() { +#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__) + assert(false && "incompatible compiler variant detected."); +#endif + untie, cout.tie(NULL); + prep(); +#ifdef SINGLE_TEST_CASE + solve(); +#else + read(int, t); + for (int i = 0; i < t; ++i) { +#ifdef DUMP_TEST_CASE + if (t < (DUMP_TEST_CASE)) { + solve(); + } else if (i + 1 == (DUMP_TEST_CASE)) { + dump(); + } else { + dump_ignore(); + } +#else + solve(); +#endif + } +#endif +} diff --git a/src/bin/cf-1870e.cc b/src/bin/cf-1870e.cc new file mode 100644 index 0000000..b64135b --- /dev/null +++ b/src/bin/cf-1870e.cc @@ -0,0 +1,446 @@ +#pragma GCC optimize("Ofast") +///////////////////////////////////////////////////////// +/** + * Useful Macros + * by subcrip + * (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) decltype(container)::value_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; +using ld = long double; +#endif +using int128 = __int128_t; +using uint128 = __uint128_t; +using pii = pair; +using pil = pair; +using pli = pair; +using pll = pair; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; + +/* 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 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 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 Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);) +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 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 (int i = 0; i < (n); ++i) cin >> a[i];) +#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;) +#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;) +#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;) +template 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; +} + +/* 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 */ +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) { + 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; +} + +/* 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; +} +///////////////////////////////////////////////////////// + +// #define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 7219 + +void dump() {} + +void dump_ignore() {} + +void prep() {} + +constexpr int MAXN = 10000; +int trace[63], trace_n; +int l[MAXN], trie[MAXN][2], trie_n; + +void insert(int x, int left) { + int curr = 0; + trace_n = 0; + trace[trace_n++] = 0; + for (int i = 13; ~i; --i) { + int bit = (x >> i) & 1; + if (not trie[curr][bit]) { + trie[curr][bit] = trie_n; + trie[trie_n][0] = 0, trie[trie_n][1] = 0, ++trie_n; + } + curr = trie[curr][bit]; + trace[trace_n++] = curr; + } + for (int i = 0; i < trace_n; ++i) { + l[trace[i]] = max(l[trace[i]], left); + } +} + +int range_max_xor(int x, int min_left) { + int curr = 0; + int res = 0; + for (int i = 13; ~i; --i) { + int o = 1 ^ ((x >> i) & 1); + int better = trie[curr][o], common = trie[curr][1 ^ o]; + if (better and l[better] >= min_left) { + curr = better; + res |= o << i; + } else if (common and l[common] >= min_left){ + curr = common; + res |= (1 ^ o) << i; + } else { + // no solution + return x; + } + } + return res; +} + +int has[MAXN], mexs[MAXN]; + +void solve() { + read(int, n); + readvec(int, a, n); + int high = lg2(n) + 1; + int m = 1 << high; + vector first_oc(m, -1); + first_oc[0] = -2; + int res = 0; + for (int i = 0; i < n; ++i) { + memset(has, 0, (n + 2) * sizeof(int)); + memset(mexs, 0, (n + 2) * sizeof(int)); + int ptr = 0; + for (int j = 0; j < trie_n; ++j) l[j] = 0; + trie_n = 1; + trie[0][0] = 0, trie[0][1] = 0; + for (int j = i; ~j; --j) { + has[a[j]] = 1; + while (has[ptr]) ++ptr; // tot: O(n) + int curr_mex = ptr; + insert(curr_mex, j); // PERF: O(logn) + mexs[curr_mex] = 1; + } + for (int j = 0; j < m; ++j) { + if (first_oc[j] == -1) continue; + int pos = first_oc[j]; + int q = range_max_xor(j, pos + 1); // PERF: O(logn) + res = max(res, j ^ q); + } + for (int j = 0; j < m; ++j) { + } + } + cout << res << '\n'; +} + +int main() { +#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__) + assert(false && "incompatible compiler variant detected."); +#endif + untie, cout.tie(NULL); + prep(); +#ifdef SINGLE_TEST_CASE + solve(); +#else + read(int, t); + for (int i = 0; i < t; ++i) { +#ifdef DUMP_TEST_CASE + if (t < (DUMP_TEST_CASE)) { + solve(); + } else if (i + 1 == (DUMP_TEST_CASE)) { + dump(); + } else { + dump_ignore(); + } +#else + solve(); +#endif + } +#endif +} diff --git a/src/bin/cf-1874c.cc b/src/bin/cf-1874c.cc new file mode 100644 index 0000000..38fd571 --- /dev/null +++ b/src/bin/cf-1874c.cc @@ -0,0 +1,402 @@ +#pragma GCC optimize("Ofast") +///////////////////////////////////////////////////////// +/** + * Useful Macros + * by subcrip + * (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) decltype(container)::value_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 ld = long double; +using int128 = __int128_t; +using uint128 = __uint128_t; +using pii = pair; +using pil = pair; +using pli = pair; +using pll = pair; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; + +/* 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 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 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 Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);) +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 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 (int i = 0; i < (n); ++i) cin >> a[i];) +#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;) +#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;) +#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;) +template 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; +} + +/* 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 */ +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) { + 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; +} + +/* 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; +} +///////////////////////////////////////////////////////// + +// #define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 7219 + +void dump() {} + +void dump_ignore() {} + +void prep() {} + +void solve() { + read(int, n, m); + adj(ch, n); + vector ind(n + 1); + while (m--) { + read(int, u, v); + Edge(ch, v, u); + ind[u] += 1; + } + vector dp(n + 1); + vector> son(n + 1); + deque q; + for (int i = 1; i <= n; ++i) { + if (ind[i] == 0) { + q.emplace_back(i); + } + } + while (q.size()) { + int v = q.front(); q.pop_front(); + if (v == n) { + dp[v] = 1; + } else { + sort(son[v].begin(), son[v].end(), greater<>()); + // greedily choose the greatest element + int l = son[v].size(); + for (int i = 0; i < l; ++i) { + for (int j = 0; j <= l; ++j) { + + } + } + } + } +} + +int main() { +#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__) + assert(false && "incompatible compiler variant detected."); +#endif + untie, cout.tie(NULL); + prep(); +#ifdef SINGLE_TEST_CASE + solve(); +#else + read(int, t); + for (int i = 0; i < t; ++i) { +#ifdef DUMP_TEST_CASE + if (t < (DUMP_TEST_CASE)) { + solve(); + } else if (i + 1 == (DUMP_TEST_CASE)) { + dump(); + } else { + dump_ignore(); + } +#else + solve(); +#endif + } +#endif +} diff --git a/src/bin/cf-1878f.cc b/src/bin/cf-1878f.cc new file mode 100644 index 0000000..bfe7fc1 --- /dev/null +++ b/src/bin/cf-1878f.cc @@ -0,0 +1,437 @@ +#pragma GCC optimize("Ofast") +///////////////////////////////////////////////////////// +/** + * Useful Macros + * by subcrip + * (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) decltype(container)::value_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; +using ld = long double; +#endif +using int128 = __int128_t; +using uint128 = __uint128_t; +using pii = pair; +using pil = pair; +using pli = pair; +using pll = pair; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; + +/* 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 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 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 Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);) +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 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 (int i = 0; i < (n); ++i) cin >> a[i];) +#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;) +#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;) +#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;) +template 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; +} + +/* 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 */ +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) { + 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; +} + +/* 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; +} +///////////////////////////////////////////////////////// + +// #define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 7219 + +void dump() {} + +void dump_ignore() {} + +void prep() { +} + +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; +} + +void solve() { + unordered_map bk, raw_bk, set_tm; + read(int, n, q); + ll prod = 1; + // debugvec(decompose_prime(n)); + for (auto&& [x, i] : decompose_prime(n)) { + prod *= i + 1; + raw_bk[x] = i; + bk[x] = i; + } + ll raw_prod = prod; + int last_tm = 0, tm = 0; + while (q--) { + tm += 1; + read(int, op); + if (op == 1) { + read(int, x); + for (auto&& [y, i] : decompose_prime(x)) { + if (set_tm[y] < last_tm) { + bk[y] = raw_bk[y]; + } + prod /= (bk[y] + 1); + bk[y] += i; + set_tm[y] = tm; + prod *= (bk[y] + 1); + } + int f = 1; + for (auto&& [y, i] : decompose_prime(prod)) { + if (set_tm[y] < last_tm) { + bk[y] = raw_bk[y]; + set_tm[y] = tm; + } + if (i < bk[y]) { + // f = 1; + } else if (i > bk[y]) { + f = 0; + break; + } + } + if (f) { + cout << "YES\n"; + } else { + cout << "NO\n"; + } + } else { + last_tm = tm; + prod = raw_prod; + } + } + cout << endl; +} + +int main() { +#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__) + assert(false && "incompatible compiler variant detected."); +#endif + untie, cout.tie(NULL); + prep(); +#ifdef SINGLE_TEST_CASE + solve(); +#else + read(int, t); + for (int i = 0; i < t; ++i) { +#ifdef DUMP_TEST_CASE + if (t < (DUMP_TEST_CASE)) { + solve(); + } else if (i + 1 == (DUMP_TEST_CASE)) { + dump(); + } else { + dump_ignore(); + } +#else + solve(); +#endif + } +#endif +} diff --git a/src/bin/cf-1879d.cc b/src/bin/cf-1879d.cc index 3858cd8..4605e5c 100644 --- a/src/bin/cf-1879d.cc +++ b/src/bin/cf-1879d.cc @@ -1,31 +1,69 @@ +#pragma GCC optimize("Ofast") +///////////////////////////////////////////////////////// +/** + * Useful Macros + * by subcrip + * (requires C++17) + */ + #include -#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; +#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) decltype(container)::value_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; +using ld = long double; +#endif +using int128 = __int128_t; +using uint128 = __uint128_t; using pii = pair; using pil = pair; using pli = pair; using pll = pair; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; -constexpr ull MDL = 1e9 + 7; -constexpr ull PRIME = 998244353; -constexpr ull MDL1 = 825; -constexpr ull MDL2 = 87825; +/* 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 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)) +#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 @@ -33,8 +71,8 @@ constexpr ull MDL2 = 87825; #define ipair ull #define imake(x, y) (umake(x, y)) -#define i1(p) (int(u1(p))) -#define i2(p) (int(u2(p))) +#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); @@ -48,63 +86,302 @@ struct igt { } }; -#define untie ios_base::sync_with_stdio(0), cin.tie(NULL) +/* 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 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 Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);) +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 void __read(T& x) { cin >> x; } template void __read(T& x, U&... args) { cin >> x; __read(args...); } -#define read(type, ...) type __VA_ARGS__; __read(__VA_ARGS__); -#define readvec(type, a, n) vector a(n); for (int i = 0; i < (n); ++i) cin >> a[i]; -#define putvec(a) for (auto&& x : a) cout << x << ' '; cout << endl; -#define debug(x) cerr << #x" = " << x << endl; -#define debugvec(a) cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl; +#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);) +#define readvec(type, a, n) __AS_PROCEDURE(vector a(n); for (int i = 0; i < (n); ++i) cin >> a[i];) +#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;) +#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;) +#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;) +template 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; +} -#define pa(a) __typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x); -#define sa(a) __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];}; +/* 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();) -#define poptop(q, ...) auto [__VA_ARGS__] = q.top(); q.pop(); -#define popback(q, ...) auto [__VA_ARGS__] = q.back(); q.pop_back(); -#define popfront(q, ...) auto [__VA_ARGS__] = q.front();q.pop_front(); +/* math */ +constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); } -#define adj(ch, n) vector> ch((n) + 1); -#define edge(ch, u, v) ch[u].push_back(v), ch[v].push_back(u); -#define Edge(ch, u, v) ch[u].push_back(v); +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; +} -vector kmp(string s, string t) { // find all t in s - int n = s.length(), m = t.length(); - vector next; next.push_back(-1); - int j = -1, i = 0; - while (i < m) - if (j == -1 || t[i] == t[j]) { - ++i, ++j; - if (i != m && t[i] == t[j]) next.push_back(next[j]); - else next.push_back(j); - } else j = next[j]; - vector res; - i = 0, j = 0; - while (i < n && j < m) - if (j == -1 || s[i] == t[j]) { - ++i, ++j; - if (j == m) res.push_back(i - j), j = next[j]; - } else j = next[j]; +ll inverse(ll a, ll b) { + ll x, y; + __exgcd(a, b, x, y); + return mod(x, b); +} + +vector> decompose(ll x) { + 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; } -int main() { - read(int, n); - readvec(ull, a, n); - ull s1, s2, s3, s4, pa; +/* 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; +} - s1 = s2 = 0, pa = 0; - for (int i = 0; i < n; ++i) { - pa ^= a[i]; - s1 = (s1 + (i + 1) * pa) % PRIME; - s2 = (s2 + pa) % PRIME; +/* 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; +} +///////////////////////////////////////////////////////// + +#define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 7219 + +void dump() {} + +void dump_ignore() {} + +void prep() {} + +void solve() { + using mll = MLL; + read(int, n); + readvec(int, a, n); + mll res = 0; + for (int b = 0; b < 31; ++b) { + array cnt {1, 0}; + array sum {0, 0}; + int curr = 0; + for (int i = 1; i <= n; ++i) { + curr ^= (a[i - 1] >> b) & 1; + res += mll(1) * (1 << b) * (mll(1) * cnt[1 ^ curr] * i - sum[1 ^ curr]); + cnt[curr] += 1; + sum[curr] += i; + } } - s3 = s4 = 0, pa = 0; - for (int i = 0; i < n; ++i) { - s3 = (s3 + i * pa) % PRIME; - s4 = (s4 + pa) % PRIME; - pa ^= a[i]; + cout << res << '\n'; +} + +int main() { +#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__) + assert(false && "incompatible compiler variant detected."); +#endif + untie, cout.tie(NULL); + prep(); +#ifdef SINGLE_TEST_CASE + solve(); +#else + read(int, t); + for (int i = 0; i < t; ++i) { +#ifdef DUMP_TEST_CASE + if (t < (DUMP_TEST_CASE)) { + solve(); + } else if (i + 1 == (DUMP_TEST_CASE)) { + dump(); + } else { + dump_ignore(); + } +#else + solve(); +#endif } - ull res = n * s1 - n * (n - 1) / 2 * s2 + n * s3 - n * (n + 1) / 2 * s4; - cout << (res % PRIME); -} \ No newline at end of file +#endif +} diff --git a/src/bin/cf-1882d.cc b/src/bin/cf-1882d.cc new file mode 100644 index 0000000..216a505 --- /dev/null +++ b/src/bin/cf-1882d.cc @@ -0,0 +1,426 @@ +#pragma GCC optimize("Ofast") +///////////////////////////////////////////////////////// +/** + * Useful Macros + * by subcrip + * (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) decltype(container)::value_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; +using ld = long double; +#endif +using int128 = __int128_t; +using uint128 = __uint128_t; +using pii = pair; +using pil = pair; +using pli = pair; +using pll = pair; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; + +/* 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 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 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 Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);) +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 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 (int i = 0; i < (n); ++i) cin >> a[i];) +#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;) +#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;) +#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;) +template 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; +} + +/* 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 */ +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) { + 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; +} + +/* 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; +} +///////////////////////////////////////////////////////// + +// #define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 7219 + +void dump() {} + +void dump_ignore() {} + +void prep() {} + +void solve() { + read(int, n); + vector a(n + 1); + for (int i = 1; i <= n; ++i) cin >> a[i]; + vector sz(n + 1); + adj(ch, n); + for (int i = 0; i < n - 1; ++i) { + read(int, u, v); + edge(ch, u, v); + } + auto get = [&] (auto get, int v, int pa) -> void { + sz[v] = 1; + for (auto&& u : ch[v]) { + if (u == pa) continue; + get(get, u, v); + sz[v] += sz[u]; + } + }; + get(get, 1, 0); + vector in(n + 1), out(n + 1); + auto dfs = [&] (auto dfs, int v, int pa) -> void { + out[v] += ll(1) * sz[v] * (a[v] ^ a[pa]); + for (auto&& u : ch[v]) { + if (u == pa) continue; + dfs(dfs, u, v); + in[u] += ll(1) * (n - sz[u]) * (a[v] ^ a[u]); + } + }; + dfs(dfs, 1, 0); + // debug(in), debug(out); + vector res(n + 1); + vector subtree_out(n + 1); + auto dfs3 = [&] (auto dfs3, int v, int pa) -> ll { + subtree_out[v] = out[v]; + for (auto&& u : ch[v]) { + if (u == pa) continue; + subtree_out[v] += dfs3(dfs3, u, v); + } + return subtree_out[v]; + }; + dfs3(dfs3, 1, 0); + auto dfs2 = [&] (auto dfs2, int v, int pa, ll prev) -> void { + prev += in[v]; + ll tot_out = 0; + for (auto&& u : ch[v]) { + if (u == pa) continue; + tot_out += subtree_out[u]; + } + res[v] = prev + tot_out; + for (auto&& u : ch[v]) { + if (u == pa) continue; + dfs2(dfs2, u, v, prev + tot_out - subtree_out[u]); + } + }; + dfs2(dfs2, 1, 0, 0); + for (int i = 1; i <= n; ++i) cout << res[i] << " \n"[i == n]; +} + +int main() { +#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__) + assert(false && "incompatible compiler variant detected."); +#endif + untie, cout.tie(NULL); + prep(); +#ifdef SINGLE_TEST_CASE + solve(); +#else + read(int, t); + for (int i = 0; i < t; ++i) { +#ifdef DUMP_TEST_CASE + if (t < (DUMP_TEST_CASE)) { + solve(); + } else if (i + 1 == (DUMP_TEST_CASE)) { + dump(); + } else { + dump_ignore(); + } +#else + solve(); +#endif + } +#endif +} diff --git a/src/bin/cf-938d.cc b/src/bin/cf-938d.cc new file mode 100644 index 0000000..623048a --- /dev/null +++ b/src/bin/cf-938d.cc @@ -0,0 +1,402 @@ +#pragma GCC optimize("Ofast") +///////////////////////////////////////////////////////// +/** + * Useful Macros + * by subcrip + * (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) decltype(container)::value_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; +using ld = long double; +#endif +using int128 = __int128_t; +using uint128 = __uint128_t; +using pii = pair; +using pil = pair; +using pli = pair; +using pll = pair; +template using max_heap = priority_queue; +template using min_heap = priority_queue, greater<>>; + +/* 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 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 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 Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);) +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 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 (int i = 0; i < (n); ++i) cin >> a[i];) +#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;) +#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;) +#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;) +template 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; +} + +/* 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 */ +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) { + 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; +} + +/* 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; +} +///////////////////////////////////////////////////////// + +#define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 7219 + +void dump() {} + +void dump_ignore() {} + +void prep() {} + +void solve() { + read(int, n, m); + vector> e(n + 1); + while (m--) { + read(int, u, v); + read(ll, w); + e[u].emplace_back(v, w * 2); + e[v].emplace_back(u, w * 2); + } + for (int i = 1; i <= n; ++i) { + read(ll, x); + e[0].emplace_back(i, x); + e[i].emplace_back(0, x); + } + min_heap pq; + pq.emplace(0, 0); + vector vis(n + 1); + vector dis(n + 1, INFLL); + while (pq.size()) { + poptop(pq, d, v); + continue_or(vis[v], 1); + dis[v] = d; + for (auto&& [u, w] : e[v]) { + if (d + w < dis[u]) { + dis[u] = d + w; + pq.emplace(dis[u], u); + } + } + } + for (int i = 1; i <= n; ++i) { + cout << dis[i] << " \n"[i == n]; + } +} + +int main() { +#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__) + assert(false && "incompatible compiler variant detected."); +#endif + untie, cout.tie(NULL); + prep(); +#ifdef SINGLE_TEST_CASE + solve(); +#else + read(int, t); + for (int i = 0; i < t; ++i) { +#ifdef DUMP_TEST_CASE + if (t < (DUMP_TEST_CASE)) { + solve(); + } else if (i + 1 == (DUMP_TEST_CASE)) { + dump(); + } else { + dump_ignore(); + } +#else + solve(); +#endif + } +#endif +} diff --git a/src/bin/ctext_out.cc b/src/bin/ctext_out.cc index 2c841a5..623048a 100644 --- a/src/bin/ctext_out.cc +++ b/src/bin/ctext_out.cc @@ -24,6 +24,7 @@ using ull = uint64_t; #else using ll = long long; using ull = unsigned long long; +using ld = long double; #endif using int128 = __int128_t; using uint128 = __uint128_t; @@ -331,7 +332,7 @@ istream& operator>>(istream& in, MLL& num) { } ///////////////////////////////////////////////////////// -// #define SINGLE_TEST_CASE +#define SINGLE_TEST_CASE // #define DUMP_TEST_CASE 7219 void dump() {} @@ -340,36 +341,38 @@ void dump_ignore() {} void prep() {} -pll intersect(ll l1, ll r1, ll l2, ll r2) { - ll l = max(l1, l2), r = min(r1, r2); - if (l > r) { - return {-1, -1}; - } - return {l, r}; -} - void solve() { - using mll = MLL; - read(ll, a, b); - // enumerate y - mll res = 0; - for (int y = 2; y < 61; ++y) { - ll yz = 1; - auto [l, r] = intersect(ll(1) << y, (ll(1) << y + 1) - 1, a, b); - if (l == -1) { - continue; - } - for (int z = 0; ; z += 1, yz *= y) { - auto [p, q] = intersect(l, r, yz, yz > 4e18 / y ? LLONG_MAX : yz * y - 1); - if (p != -1) { - res += mll(1) * (q - p + 1) * z; - } - if (yz > 4e18 / y) { - break; + read(int, n, m); + vector> e(n + 1); + while (m--) { + read(int, u, v); + read(ll, w); + e[u].emplace_back(v, w * 2); + e[v].emplace_back(u, w * 2); + } + for (int i = 1; i <= n; ++i) { + read(ll, x); + e[0].emplace_back(i, x); + e[i].emplace_back(0, x); + } + min_heap pq; + pq.emplace(0, 0); + vector vis(n + 1); + vector dis(n + 1, INFLL); + while (pq.size()) { + poptop(pq, d, v); + continue_or(vis[v], 1); + dis[v] = d; + for (auto&& [u, w] : e[v]) { + if (d + w < dis[u]) { + dis[u] = d + w; + pq.emplace(dis[u], u); } } } - cout << res << '\n'; + for (int i = 1; i <= n; ++i) { + cout << dis[i] << " \n"[i == n]; + } } int main() { diff --git a/src/bin/std.in b/src/bin/std.in index abb9c3f..e39bee6 100644 --- a/src/bin/std.in +++ b/src/bin/std.in @@ -1,14 +1,6 @@ -12 -4 6 -4 7 -4 8 -4 100000 -179 1000000000000000000 -57 179 -4 201018959 -7 201018960 -729 50624 -728 50624 -728 50625 -729 50625 +3 3 +1 2 1 +2 3 1 +1 3 1 +30 10 20 diff --git a/src/bin/template.cc b/src/bin/template.cc index da559f3..da5bf55 100644 --- a/src/bin/template.cc +++ b/src/bin/template.cc @@ -24,6 +24,7 @@ using ull = uint64_t; #else using ll = long long; using ull = unsigned long long; +using ld = long double; #endif using int128 = __int128_t; using uint128 = __uint128_t; @@ -236,6 +237,7 @@ ll inverse(ll a, ll b) { } vector> decompose(ll x) { + // return (factor, count, factor ** count) vector> res; for (int i = 2; i * i <= x; i++) { if (x % i == 0) { @@ -251,6 +253,22 @@ vector> decompose(ll 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(); diff --git a/src/bin/test.cc b/src/bin/test.cc index 3985ddd..3adbf22 100644 --- a/src/bin/test.cc +++ b/src/bin/test.cc @@ -1,43 +1,15 @@ #include - using namespace std; -typedef long long ll; - -const int MAXN = 5e5 + 10; - -int t, n; ll a[MAXN], dp[MAXN], ans; - -vector g[MAXN]; - -void dfs(int u, int fa) { - ll x; vector d; dp[u] = a[u], ans = max(ans, dp[u]); - for (int v : g[u]) { - if (v == fa) continue; dfs(v, u), d.push_back(dp[v]); - ans = max(ans, a[u] + dp[v]), dp[u] = max(dp[u], dp[v]); - } - sort(d.begin(), d.end(), greater()); - if (d.size() >= 2) { - x = d[0] + d[1], ans = max(ans, x); - for (int i = 2; i < d.size() && d[i] > 0; i++) x += d[i]; - dp[u] = max(dp[u], a[u] + x); - } - if (d.size() >= 3) { - x = d[0] + d[1] + d[2]; - for (int i = 3; i < d.size() && d[i] > 0; i++) x += d[i]; - ans = max(ans, a[u] + x); - } +vector effect() { + cerr << "called.\n"; + vector res(5); + iota(res.begin(), res.end(), 0); + return res; } int main() { - for (scanf("%d", &t); t--;) { - scanf("%d", &n), ans = 0; - for (int i = 1; i <= n; i++) g[i].clear(); - for (int i = 1; i <= n; i++) scanf("%lld", &a[i]); - for (int i = 1, u, v; i < n; i++) { - scanf("%d%d", &u, &v); - g[u].push_back(v), g[v].push_back(u); - } - dfs(1, 0), printf("%lld\n", ans); - } + for (auto&& i : effect()) { + cout << i << '\n'; + } } diff --git a/src/bin/test.py b/src/bin/test.py index a05fce4..8f46c8a 100644 --- a/src/bin/test.py +++ b/src/bin/test.py @@ -1,3 +1,4 @@ +from itertools import pairwise from random import shuffle, randint from os import system @@ -8,22 +9,23 @@ def gen_tree(n): tree += f'{fa} {i}\n' return tree +N = 10_000_000 +prime = [] +is_prime = [False] * N + +def Eratosthenes(n): + is_prime[0] = is_prime[1] = False + for i in range(2, n + 1): + is_prime[i] = True + for i in range(2, n + 1): + if is_prime[i]: + prime.append(i) + if i * i > n: + continue + for j in range(i * i, n + 1, i): + is_prime[j] = False + if __name__ == '__main__': - while 1: - n = randint(2, 10) - tr = gen_tree(n) - val = ' '.join([str(randint(-10, 10)) for _ in range(n)]) - content = '\n'.join((str(n), val, tr)) - with open('std.in', 'w') as f: - f.write('1\n' + content) - system('./my.out < std.in > std.out') - with open('std.out') as f: - my_ans = f.read().strip() - system('./ans.out < std.in > std.out') - with open('std.out') as f: - his_ans = f.read().strip() - if my_ans != his_ans: - print(content) - print(my_ans) - print(his_ans) - break + print(1) + print(1000000) + print('8 6 ' * 500000)

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