이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
//Dost SEFEROĞLU
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int,int>
#define ff first
#define ss second
#define sp << " " <<
#define all(cont) cont.begin(),cont.end()
#define vi vector<int>
const int MOD = 1e9+7,inf = 2e18;
const int N = 1e6+50;
int add(int x,int y) {
return ((x+y) >= MOD ? x+y-MOD : x+y);
}
int mult(int x,int y) {
return ((x%MOD)*(y%MOD))%MOD;
}
int expo(int x,int y) {
if (!y) return 1;
int e = expo(x,y/2);
e = mult(e,e);
if (y&1) e = mult(e,x);
return e;
}
int divide(int x,int y) {
return mult(x,expo(y,MOD-2));
}
vi f(100001,1),finv(100001);
int nck(int n,int k) {
if (n < k) return 0;
return mult(f[n],mult(finv[n-k],finv[k]));
}
int puzzle(int n,int bosluk) {
return nck(n+bosluk,n);
}
void solve() {
for (int i=1;i<=100000;i++) f[i] = mult(f[i-1],i);
for (int i=0;i<=100000;i++) finv[i] = divide(1,f[i]);
int n,l;
cin >> n >> l;
if (n == 1) {
cout << l << endl;
return;
}
int s = 0;
vi a(n+1);
for (int i=1;i<=n;i++) {
cin >> a[i];
s+=2*a[i]-1;
}
int ans = 0;
for (int i=1;i<=n;i++) {
for (int j=1;j<=n;j++) {
if (i == j) continue;
for (int L = a[i];L<=2*a[i]-2;L++) {
for (int R = a[j];R<=2*a[j]-2;R++) {
int leftover = l-L-R-(s-2*a[i]-2*a[j]+2);
int contrib = mult(f[n-2],puzzle(n-2,leftover));
ans = add(ans,contrib);
}
}
}
}
for (int i=1;i<=n;i++) {
for (int L=a[i];L<=2*a[i]-2;L++) {
int leftover = l-L-(s-2*a[i]+1);
ans = add(ans,mult(2,mult(f[n-1],puzzle(n-1,leftover))));
}
}
if (s <= l) ans = add(ans,mult(f[n],puzzle(n,l-s)));
cout << ans << endl;
}
signed main() {
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#ifdef Dodi
freopen("in.txt","r",stdin);
freopen("out.txt","w",stdout);
#endif
int t = 1;
//cin >> t;
while (t --> 0) solve();
}
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