이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#include <iostream>
#include <algorithm>
#define ll long long
const int MD = 1e9 + 7, C = 10000;
using namespace std;
int n, l, ar[101], dp[2][101][C + 1001][3];
int main()
{
ios :: sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n >> l;
if (n == 1) {cout << "1\n"; return 0;}
for (int i = 0; i < n; i++) {cin >> ar[i];}
sort(ar, ar + n);
dp[0][0][C][0] = 1;
for (int i = 1; i <= n; i++)
{
for (int j = 1; j <= i; j++)
{
for (int k = 0; k <= C + l; k++)
{
for (int m = 0; m <= 2; m++)
{
dp[i & 1][j][k][m] = 0;
if (k + 2 * ar[i - 1] <= C + l && (j > 1 || i == 1))
{
dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)(j - m) * dp[~i & 1][j - 1][k + 2 * ar[i - 1]][m]) % MD;
}
if (j < i)
{
dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)(2 * j - m) * dp[~i & 1][j][k][m]) % MD;
}
if (k - 2 * ar[i - 1] >= 0 && j + 1 < i && (j >= m || i == n))
{
dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)j * dp[~i & 1][j + 1][k - 2 * ar[i - 1]][m]) % MD;
}
if ((j > 1 || i == 1) && k + ar[i - 1] <= C + l && m) {dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)(3 - m) * dp[~i & 1][j - 1][k + ar[i - 1]][m - 1]) % MD;}
if (k - ar[i - 1] >= 0 && m && (j >= m || i == n) && j < i) {dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)(3 - m) * dp[~i & 1][j][k - ar[i - 1]][m - 1]) % MD;}
/*
if (k - C >= -20 && dp[i & 1][j][k][m])
{
//if (k + 2 * ar[i - 1] <= C + l && (j > 1 || i == 1)) {cout << "New CC : " << i - 1 << " " << j - 1 << " " << k + 2 * ar[i - 1] - C << " " << m << "\n";}
//if (j < i) cout << "Con 2CC : " << i - 1 << " " << j << " " << k - C << " " << m << "\n";
//if (k - 2 * ar[i - 1] >= 0 && j + 1 < i && (j >= m || i == n)) {cout << "Merge CC : " << i - 1 << " " << j + 1 << " " << k - 2 * ar[i - 1] - C << " " << m << "\n";}
//if (j && k + ar[i - 1] <= C + l && m) {cout << "Corner, newCC : " << i - 1 << " " << j - 1 << " " << k + ar[i - 1] - C << " " << m - 1 << "\n";}
//if (k - ar[i - 1] >= 0 && m && (j >= m || i == n) && j < i) {cout << "Corner, con2oldCC : " << i - 1 << " " << j << " " << k - ar[i - 1] - C << " " << m - 1 << "\n";}
}
*/
}
}
}
}
int res = 0;
for (int i = 0; i <= l; i++)
{
res = (res + dp[n & 1][1][C + i][2]) % MD;
}
cout << res << "\n";
return 0;
}
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