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>
// #include <ext/pb_ds/assoc_container.hpp>
using namespace std;
// using namespace __gnu_pbds;
// template<class T>
// using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T, class U>
void ckmin(T &a, U b)
{
if (a > b) a = b;
}
template<class T, class U>
void ckmax(T &a, U b)
{
if (a < b) a = b;
}
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define SZ(x) ((int) (x).size())
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
const int INF = 1e9 + 7;
const int MAXN = 353;
int N;
int choose[MAXN][MAXN];
int add(int a, int b)
{
a += b; if (a >= INF) a -= INF; return a;
}
int mul(int a, int b)
{
return (ll) a * b % INF;
}
int sub(int a, int b)
{
a -= b; if (a < 0) a += INF; return a;
}
int pwr(int a, int b)
{
int res = 1;
while(b > 0)
{
if (b & 1) res = mul(res, a);
b >>= 1;
a = mul(a, a);
}
return res;
}
int inv(int a)
{
return pwr(a, INF - 2);
}
int dvd(int a, int b)
{
return mul(a, inv(b));
}
int dp[MAXN][MAXN];
int ans;
int32_t main()
{
cout << fixed << setprecision(12);
cerr << fixed << setprecision(4);
ios_base::sync_with_stdio(false); cin.tie(0);
cin >> N;
choose[0][0] = 1;
FOR(i, 1, N + 1)
{
choose[i][0] = 1;
choose[i][i] = 1;
FOR(j, 1, i)
{
choose[i][j] = add(choose[i - 1][j], choose[i - 1][j - 1]);
}
}
dp[0][0] = 1;
FOR(i, 1, N + 1)
{
FOR(j, 0, N + 1)
{
FOR(k, j, N + 1)
{
if (k - j == i) continue;
dp[i][k] = add(dp[i][k], mul(dp[i - 1][j], choose[N - j][k - j]));
}
}
}
ans = sub(pwr(N, N), dp[N][N]);
cout << ans << '\n';
return 0;
}
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