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 ll long long
#define Foxyy cin.tie(0); cout.sync_with_stdio(0); cout.tie(0);
const int MOD = 1e9+7;
struct Solver {
int& n;
int& l;
vector<int>& r;
vector<int> fac{};
void getFac() {
fac.resize(l+1);
fac[0] = 1;
for (int i = 1; i <= l; i++) {
fac[i] = 1LL * fac[i-1] * i % MOD;
}
}
ll fastPow(int base, int power) {
if (power == 0) return 1;
if (power % 2) return fastPow(base, power-1) * base % MOD;
ll ret = fastPow(base, power/2);
return ret*ret % MOD;
}
void solve() {
if (n == 1) {
cout << l << '\n';
return;
}
getFac();
int ans = 0;
for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) if (i != j) {
int sum = r[i] + r[j];
for (int k = 0; k < n; k++) if (k != i and k != j) {
sum += 2*r[k] - 1;
}
int spaces = l - sum;
if (spaces < 0) {
continue;
}
for (int midSpaces = 0; midSpaces <= spaces; midSpaces++) {
int removed = spaces - midSpaces;
ans = (ans + 1LL * (removed+1) * fac[n-2 + midSpaces] * fastPow(fac[midSpaces], MOD-2) % MOD) % MOD;
}
}
cout << ans << '\n';
}
};
signed main() {
Foxyy
int T = 1;
// cin >> T;
while(T--) {
int n, l;
cin >> n >> l;
vector<int> r(n);
for (auto& x : r) {
cin >> x;
}
Solver solver{n, l, r};
solver.solve();
}
}
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