Submission #633966

#TimeUsernameProblemLanguageResultExecution timeMemory
633966vovamrAnagramistica (COCI21_anagramistica)C++17
110 / 110
7 ms476 KiB
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define fi first #define se second #define ll long long #define ld long double #define sz(x) ((int)(x).size()) #define all(x) (x).begin(), (x).end() #define pb push_back #define mpp make_pair #define ve vector using namespace std; using namespace __gnu_pbds; template<class T> using oset = tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>; const ll inf = 1e18; const int iinf = 1e9; typedef pair<ll, ll> pll; typedef pair<int, int> pii; mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()); template <typename T> inline bool chmin(T& a, T b) { return (a > b ? a = b, 1 : 0); } template <typename T> inline bool chmax(T& a, T b) { return (a < b ? a = b, 1 : 0); } constexpr int md = 1e9 + 7; constexpr int iv2 = (md + 1) / 2; inline int add(int a, int b) { a += b; if(a>=md){a-=md;} return a; } inline int sub(int a, int b) { a -= b; if(a<0){a+=md;} return a; } inline int mul(int a, int b) { return (ll)a * b % md; } inline int bp(int a, int n) { int res = 1; for (; n; n >>= 1, a = mul(a, a)) { if (n & 1) res = mul(res, a); } return res; } inline int inv(int a) { return bp(a, md - 2); } const int N = 2e3 + 10; int f[N], iff[N]; inline void calc() { f[0] = 1; for (int i = 1; i < N; ++i) f[i] = mul(f[i - 1], i); iff[N - 1] = inv(f[N - 1]); for (int i = N - 2; ~i; --i) iff[i] = mul(iff[i + 1], i + 1); } inline int C(int n, int k) { return mul(f[n], mul(iff[k], iff[n - k])); } inline void solve() { calc(); int n, k; cin >> n >> k; unordered_map<string,int> mp; mp.reserve(1024); mp.max_load_factor(0.25); for (int i = 0; i < n; ++i) { string s; cin >> s; sort(all(s)); ++mp[s]; } ve<int> dp(k + 1); dp[0] = 1; for (auto &[str, cnt] : mp) { ve<int> f(k + 1); for (int i = 0; i <= cnt; ++i) { int c = i * (i - 1) / 2; for (int s = 0; s + c <= k; ++s) { f[s + c] = add(f[s + c], mul(dp[s], C(cnt, i))); } } dp.swap(f); } cout << dp[k]; } signed main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int q = 1; // cin >> q; while (q--) solve(); cerr << fixed << setprecision(3) << "Time execution: " << (double)clock() / CLOCKS_PER_SEC << endl; }
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