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 double ld;
#define pb push_back
#define sz(x) int(x.size())
#define all(x) x.begin(),x.end()
#define F first
#define S second
const int N = 50, M = 1e9+7, L = 1e4;
int n, l, r[N];
ll fact[L+2], dp[N][L+1];
ll fp(ll b, ll p) {
ll ret = 1;
while (p) {
if ((p & 1))ret = (ret * b) % M;
b = (b * b) % M;
p >>= 1;
}
return ret;
}
ll nCr(int a, int b) {
return (fact[a] * fp((fact[b] * fact[n-b])%M, M-2))%M;
}
ll sol(int i, int j) {
if (i == n)return 1;
if (j > l)return 0;
ll &ret = dp[i][j];
if (~ret)return ret;
return ret = (sol(i, j+1) + sol(i+1, j + r[0]))%M;
}
int main () {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> l;
fact[0] = 1;
for (ll i = 1; i <= L; i++) {
fact[i] = (fact[i-1] * i) % M;
}
for (int i = 0; i < n; i++) {
cin >> r[i];
}
if (n <= 10) {
sort(r, r+n);
ll ans = 0;
do {
ll len = 1;
for (int i = 1; i < n; i++) {
len += r[i-1];
}
if (len > l)continue;
len %= M;
ans += (len * fp(n, l - len)) % M;
} while(next_permutation(r, r+n));
cout << ans << "\n";
return 0;
}
memset(dp, -1, sizeof dp);
cout << sol(0, 1);
}
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