Submission #330407

#TimeUsernameProblemLanguageResultExecution timeMemory
330407534351Zapina (COCI20_zapina)C++17
110 / 110
82 ms1352 KiB
#include <bits/stdc++.h> // #include <ext/pb_ds/assoc_container.hpp> using namespace std; // using namespace __gnu_pbds; // template<class T> // using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; template<class T, class U> void ckmin(T &a, U b) { if (a > b) a = b; } template<class T, class U> void ckmax(T &a, U b) { if (a < b) a = b; } #define MP make_pair #define PB push_back #define LB lower_bound #define UB upper_bound #define fi first #define se second #define SZ(x) ((int) (x).size()) #define ALL(x) (x).begin(), (x).end() #define FOR(i, a, b) for (auto i = (a); i < (b); i++) #define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--) typedef long long ll; typedef long double ld; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<int> vi; typedef vector<ll> vl; typedef vector<pii> vpi; typedef vector<pll> vpl; const int INF = 1e9 + 7; const int MAXN = 353; int N; int choose[MAXN][MAXN]; int add(int a, int b) { a += b; if (a >= INF) a -= INF; return a; } int mul(int a, int b) { return (ll) a * b % INF; } int sub(int a, int b) { a -= b; if (a < 0) a += INF; return a; } int pwr(int a, int b) { int res = 1; while(b > 0) { if (b & 1) res = mul(res, a); b >>= 1; a = mul(a, a); } return res; } int inv(int a) { return pwr(a, INF - 2); } int dvd(int a, int b) { return mul(a, inv(b)); } int dp[MAXN][MAXN]; int ans; int32_t main() { cout << fixed << setprecision(12); cerr << fixed << setprecision(4); ios_base::sync_with_stdio(false); cin.tie(0); cin >> N; choose[0][0] = 1; FOR(i, 1, N + 1) { choose[i][0] = 1; choose[i][i] = 1; FOR(j, 1, i) { choose[i][j] = add(choose[i - 1][j], choose[i - 1][j - 1]); } } dp[0][0] = 1; FOR(i, 1, N + 1) { FOR(j, 0, N + 1) { FOR(k, j, N + 1) { if (k - j == i) continue; dp[i][k] = add(dp[i][k], mul(dp[i - 1][j], choose[N - j][k - j])); } } } ans = sub(pwr(N, N), dp[N][N]); cout << ans << '\n'; return 0; }
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