// YOt ONLY GOT ONE SHOT
#include <bits/stdc++.h>
#define put(x) cerr << #x << ": " << x << '\n'
#define line() cerr << "**************\n"
//#define F first
//#define S second
//#define mul(x, y) (((x) * (y)) %mod)
//#define bit(i, j) (((i)>>(j)) &1)
//#define left(id) ((id<<1) + 1)
//#define right(id) ((id<<1) + 2)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<pii, int> piii;
const int maxn = 100 + 10, maxA = 1000 + 10, mod = 1e9 + 7;
int n, l;
int a[maxn];
int dp[maxn][maxn][maxA][3];
ll mul(ll a, ll b){
return (a * b) %mod;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
cin >> n >> l;
for(int i=0; i<n; i++)
cin >> a[i];
sort(a, a+n);
if(n == 1)
return cout << "1\n", 0;
for(int i=0; i<=l; i++)
dp[0][0][i][0] = 1;
int cost = 0;
for(int i=1; i<=n; i++)
for(int j = 1; j <= min(i, (n+1) /2); j++)
for(int k=0; k<=l; k++)
for(int m=0; m<3; m++){
cost = (j * 2 - m) * (a[i] - a[i-1]);
if(cost > k)
continue;
if(m > 0){
dp[i][j][k][m] += mul(dp[i-1][j][k - cost][m-1], 3 - m);
dp[i][j][k][m] %= mod;
if(i + j + 1 - m <= n){
dp[i][j][k][m] += mul(dp[i-1][j-1][k - cost][m-1], 3 - m);
dp[i][j][k][m] %= mod;
}
}
if(i + j +1 - m <= n){
dp[i][j][k][m] += mul(dp[i-1][j-1][k - cost][m], j - m);
dp[i][j][k][m] %= mod;
dp[i][j][k][m] += mul(dp[i-1][j][k - cost][m], j * 2 - m);
dp[i][j][k][m] %= mod;
}
if(j < (n + 1) /2){
dp[i][j][k][m] += mul(dp[i-1][j+1][k - cost][m], j) %mod;
dp[i][j][k][m] %= mod;
}
}
cout << dp[n][1][l][2] << '\n';
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
0 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
492 KB |
Output is correct |
| 5 |
Correct |
2 ms |
620 KB |
Output is correct |
| 6 |
Correct |
2 ms |
620 KB |
Output is correct |
| 7 |
Correct |
1 ms |
492 KB |
Output is correct |
| 8 |
Correct |
1 ms |
492 KB |
Output is correct |
| 9 |
Correct |
2 ms |
620 KB |
Output is correct |
| 10 |
Correct |
1 ms |
492 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
620 KB |
Output is correct |
| 2 |
Correct |
1 ms |
748 KB |
Output is correct |
| 3 |
Correct |
1 ms |
748 KB |
Output is correct |
| 4 |
Correct |
1 ms |
748 KB |
Output is correct |
| 5 |
Correct |
1 ms |
748 KB |
Output is correct |
| 6 |
Correct |
1 ms |
748 KB |
Output is correct |
| 7 |
Correct |
1 ms |
620 KB |
Output is correct |
| 8 |
Correct |
1 ms |
748 KB |
Output is correct |
| 9 |
Correct |
1 ms |
748 KB |
Output is correct |
| 10 |
Correct |
1 ms |
640 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
0 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
492 KB |
Output is correct |
| 5 |
Correct |
2 ms |
620 KB |
Output is correct |
| 6 |
Correct |
2 ms |
620 KB |
Output is correct |
| 7 |
Correct |
1 ms |
492 KB |
Output is correct |
| 8 |
Correct |
1 ms |
492 KB |
Output is correct |
| 9 |
Correct |
2 ms |
620 KB |
Output is correct |
| 10 |
Correct |
1 ms |
492 KB |
Output is correct |
| 11 |
Correct |
1 ms |
620 KB |
Output is correct |
| 12 |
Correct |
1 ms |
748 KB |
Output is correct |
| 13 |
Correct |
1 ms |
748 KB |
Output is correct |
| 14 |
Correct |
1 ms |
748 KB |
Output is correct |
| 15 |
Correct |
1 ms |
748 KB |
Output is correct |
| 16 |
Correct |
1 ms |
748 KB |
Output is correct |
| 17 |
Correct |
1 ms |
620 KB |
Output is correct |
| 18 |
Correct |
1 ms |
748 KB |
Output is correct |
| 19 |
Correct |
1 ms |
748 KB |
Output is correct |
| 20 |
Correct |
1 ms |
640 KB |
Output is correct |
| 21 |
Correct |
4 ms |
3052 KB |
Output is correct |
| 22 |
Correct |
135 ms |
27884 KB |
Output is correct |
| 23 |
Correct |
187 ms |
36992 KB |
Output is correct |
| 24 |
Correct |
173 ms |
39276 KB |
Output is correct |
| 25 |
Correct |
206 ms |
37612 KB |
Output is correct |
| 26 |
Correct |
172 ms |
36332 KB |
Output is correct |
| 27 |
Correct |
74 ms |
24556 KB |
Output is correct |
| 28 |
Correct |
86 ms |
27116 KB |
Output is correct |
| 29 |
Correct |
148 ms |
37356 KB |
Output is correct |
| 30 |
Correct |
199 ms |
37868 KB |
Output is correct |
