Submission #151808

#TimeUsernameProblemLanguageResultExecution timeMemory
151808osaaateiasavtnlAsceticism (JOI18_asceticism)C++14
100 / 100
29 ms1272 KiB
#include<bits/stdc++.h>
using namespace std;
#define int long long 
#define ii pair <int, int>
#define app push_back
#define all(a) a.begin(), a.end()
#define bp __builtin_popcount
#define ll long long
#define mp make_pair
#define f first
#define s second
const int N = 1e5 + 7, MOD = 1000 * 1000 * 1000 + 7;
int mod(int n) { return (n % MOD + MOD) % MOD; }
int fp(int a, int p) {
    int ans = 1, cur = a;
    for (int i = 0; (1ll << i) <= p; ++i) {
        if ((p >> i) & 1) ans = (ans * cur) % MOD;
        cur = (cur * cur) % MOD;
    }   
    return ans;
}   
int inv(int x) { return fp(x, MOD - 2); }
int dv(int a, int b) { return (a * inv(b)) % MOD; }
int f[N];
int C(int n, int k) { return dv(f[n], (f[n - k] * f[k]) % MOD); }
int eulerian(int n, int m) {
    int ans = 0;
    for (int k = 0; k <= m; ++k) {
        if (k & 1) ans -= (C(n + 1, k) * fp(m + 1 - k, n)) % MOD;
        else ans += (C(n + 1, k) * fp(m + 1 - k, n)) % MOD;
    }   
    return mod(ans);
}   
signed main() {
    #ifdef HOME
    freopen("input.txt", "r", stdin);
    #else
    ios_base::sync_with_stdio(0); cin.tie(0);
    #endif
    f[0] = 1;
    for (int i = 1; i < N; ++i) f[i] = (f[i - 1] * i) % MOD;
    int n, k;
    cin >> n >> k;
    cout << eulerian(n, k - 1) << '\n';                
}   
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