Submission #128244

#TimeUsernameProblemLanguageResultExecution timeMemory
128244RockyBAsceticism (JOI18_asceticism)C++17
100 / 100
42 ms1144 KiB
#include <bits/stdc++.h> #define f first #define s second #define pb push_back #define pp pop_back #define all(x) x.begin(), x.end() #define sz(x) (int)x.size() #define rep(a, b, c) for (int a = (b); (a) <= (c); ++a) #define per(a, b, c) for (int a = (b); (a) >= (c); --a) #define nl '\n' #define ioi exit(0); using namespace std; typedef long long ll; const int MAX_N = (int)1e5 + 7; const int mod = (int)1e9 + 7; int n, k; int f[MAX_N], rv[MAX_N]; int bp(int x, int y) { int res = 1; while (y) { if (y & 1) res = res * 1ll * x % mod; x = x * 1ll * x % mod, y >>= 1; } return res; } int cnk(int x, int y) { return ((f[x] * 1ll * rv[x - y]) % mod) * 1ll * rv[y] % mod; } int main() { #ifdef IOI freopen ("in.txt", "r", stdin); #endif cin >> n >> k; /* rep(i, 0, n + 1) { c[i][0] = 1; rep(j, 1, i) { c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod; } } */ f[0] = rv[0] = 1; rep(i, 1, n + 1) { f[i] = f[i - 1] * 1ll * i % mod; rv[i] = bp(f[i], mod - 2); } int ans = 0; k--; rep(i, 0, k) { int x = bp(-1, i) * 1ll * cnk(n + 1, i) % mod; x = x * 1ll * bp(k - i + 1, n) % mod; ans += x; ans %= mod; ans += mod; ans %= mod; } cout << ans; //cout << dp[n][k]; ioi }
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