This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "bits/stdc++.h"
using namespace std;
#define int long long
const int MAXN = 2e5 + 10;
const int MOD = 1e9 + 7;
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
int u = uniform_int_distribution<int>(x, y)(rng); return u;
}
int bm(int b, int p) {
if(p==0) return 1 % MOD;
int r = bm(b, p >> 1);
if(p&1) return (((r*r) % MOD) * b) % MOD;
return (r*r) % MOD;
}
int inv(int b) {
return bm(b, MOD-2);
}
int fastlog(int x) {
return (x == 0 ? -1 : 64 - __builtin_clzll(x) - 1);
}
void printcase(int i) { cout << "Case #" << i << ": "; }
void solve(int tc) {
// Wtf eulerian numbers
// Is this gen fun or am I dumb
int n;
cin >> n;
int A[n+1][n+1];
A[1][0] = 1;
A[1][1] = 0;
for(int i=2; i<=n; i++) {
for(int j=0; j<i; j++) {
if(j == 0) A[i][j] = 1;
else A[i][j] = ((i-j) * A[i-1][j-1] + (j+1) * A[i-1][j]) % MOD;
}
A[i][i] = 0;
}
int k;
cin >> k;
cout << A[n][k-1] << "\n";
}
int32_t main() {
ios::sync_with_stdio(0); cin.tie(0);
int t = 1; //cin >> t;
for(int i=1; i<=t; i++) solve(i);
}
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