이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int N = 1e4 + 7;
const int mod = 1e9 + 7;
inline void add(int &x , int &y , int coef){
x = (x + y * coef % mod) % mod;
}
inline int fastpow(int a , int b){
if(b == 0)return 1;
if(b == 1)return a;
int val = fastpow(a,b/2);
return val * val % mod * (b&1?a:1) % mod;
}
void solve(){
int fact[N],invfact[N];
fact[0] = invfact[0] = 1;
for(int i = 1;i<N;i++){
fact[i] = fact[i-1] * i % mod;
invfact[i] = fastpow(fact[i] , mod-2);
}
function < int (int , int) > Cr = [&](int n , int r){//n tane sepete , x tane top
return fact[n] * invfact[r] % mod * invfact[n-r] % mod;
};
int n,l;
cin >> n >> l;
int arr[n];
for(int i = 0;i<n;i++){
cin >> arr[i];
}
sort(arr , arr + n);
int dp[n+1][n+1][l+5];
memset(dp , 0 , sizeof(dp));
dp[0][0][0] = 1;
for(int i = 0;i<n;i++){
for(int j = 0;j<n;j++){
for(int k = 0;k<=l;k++){
/*if(dp[i][j][k]){
cout << i << " " << j << " " << k << " => " << dp[i][j][k] << endl;
}*/
//create a new component
add(dp[i+1][j+1][k + 1] , dp[i][j][k] , j+1);
//add to the right and left
if((k + arr[i]) <= l){
add(dp[i+1][j][k + arr[i]] , dp[i][j][k] , 2 * j % mod);
}
//merge two components
if(j > 1 and (k + 2 * arr[i] - 1) <= l){
add(dp[i+1][j-1][k + 2 * arr[i] - 1] , dp[i][j][k] , j-1);
}
}
}
}
int ans = 0;
for(int i = 0;i<l;i++){//i = boşluk miktarı
int locans = dp[n][1][l - i] * Cr(n + i, n) % mod;
add(ans , locans , 1);
}
cout << ans << endl;
}
signed main(){
ios_base::sync_with_stdio(0);cin.tie(0);
int testcase = 1;//cin >> testcase;
while(testcase--)solve();
}
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