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;
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
typedef pair<ll, ll> ii;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<vi> vvi;
typedef vector<vll> vvll;
typedef vector<vii> vvii;
#define task "test"
#define fastIO ios::sync_with_stdio(false), cin.tie(NULL), cout.tie(NULL)
#define forw(i, l, r) for( ll i = (l) ; i < (r) ; i++ )
#define forb(i, r, l) for( ll i = (r) ; i >= (l) ; i-- )
#define sz(x) (int)x.size()
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define numBit(x) __builtin_popcount(x)
#define lb lower_bound
#define ub upper_bound
#define ar array
#define endl '\n'
const int dx[4] = {-1, 0, 1, 0};
const int dy[4] = {0, -1, 0, 1};
const int N = 350 + 7;
const ll inf = 0x3f3f3f3f;
const int MOD = 1e9 + 7;
int n, C[N][N], dp[2][N][N];
bool avail[2][N][N];
int add(int x, int y) {
x += y; if (x >= MOD) x -= MOD;
return x;
}
int mul(int x, int y) {
return 1LL * x * y % MOD;
}
int fexp(int x, int y) {
int ans = 1;
while (y > 0) {
if (y & 1) ans = mul(ans, x);
x = mul(x, x);
y >>= 1;
}
return ans;
}
int DP(bool happy, int n, int k) {
if (n == 0) return happy && (k == 0);
if (avail[happy][n][k]) return dp[happy][n][k];
avail[happy][n][k] = 1;
int ans = 0;
forw(i, 0, k + 1)
ans = add(ans, mul(C[k][i], DP(happy | (i == n), n - 1, k - i)));
return dp[happy][n][k] = ans;
}
int main() {
fastIO;
forw(i, 0, N) forw(j, 0, min(1ll * N, i) + 1)
if (j == 0 || j == i) C[i][j] = 1;
else C[i][j] = add(C[i - 1][j], C[i - 1][j - 1]);
cin >> n;
cout << DP(0, n, n) << endl; // happy, indx, remaining task
}
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