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>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;
const ll MOD = 1e9 + 7;
inline ll madd(ll a, ll b) {
a += b;
if (a >= MOD) a -= MOD;
return a;
}
inline ll mmult(ll a, ll b) {
a = (a * b) % MOD;
return a;
}
ll chs[351][351], dp[351][351], dp2[351][351];
int main() {
iostream::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
FOR(i, 0, n + 1) chs[i][0] = 1;
FOR(i, 1, n + 1) FOR(j, 1, i + 1) chs[i][j] = madd(chs[i - 1][j - 1], chs[i - 1][j]);
dp[0][0] = dp2[0][0] = 1;
FOR(i, 1, n + 1) FOR(j, 0, n + 1) {
FOR(k, 0, j + 1) {
if (k != i) dp[i][j] = madd(dp[i][j], mmult(dp[i - 1][j - k], chs[j][k]));
dp2[i][j] = madd(dp2[i][j], mmult(dp2[i - 1][j - k], chs[j][k]));
}
}
ll ans = 0;
FOR(i, 1, n + 1) FOR(j, 0, n - i + 1) {
ans = madd(ans, mmult(mmult(mmult(dp[i - 1][j], chs[n][j]), chs[n - j][i]), dp2[n - i][n - j - i]));
}
cout << ans;
return 0;
}
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