#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll mod=1e9+7;
int n,lim,a[105];
ll dp[105][105][1005][3];
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin>>n>>lim;
for (int i=1; i<=n; ++i) cin>>a[i];
sort(a+1,a+n+1);
if (n==1) {
cout<<1;
return 0;
}
dp[1][1][0][0]=1;
dp[1][1][0][1]=2;
for (int i=2; i<=n; ++i) {
for (int j=1; j<i; ++j) {
for (int k=0; k<=lim; ++k) {
for (int e=0; e<3; ++e) {
//consider value from dp[i-1][j][k][e]
int nw=k+(a[i]-a[i-1])*(2*j-e);
if (nw>lim) continue;
//insert to middle component
dp[i][j][nw][e]=(dp[i][j][nw][e]+dp[i-1][j][k][e]*(2*j-e))%mod;
//insert to rim component
dp[i][j][nw][e+1]=(dp[i][j][nw][e+1]+dp[i-1][j][k][e]*(2-e))%mod;
//merge 2 component
dp[i][j-1][nw][e]=(dp[i][j-1][nw][e]+dp[i-1][j][k][e]*(j-1))%mod;
//create new middle component
dp[i][j+1][nw][e]=(dp[i][j+1][nw][e]+dp[i-1][j][k][e]*(j+1-e))%mod;
//create new rim component
dp[i][j+1][nw][e+1]=(dp[i][j+1][nw][e+1]+dp[i-1][j][k][e]*(2-e))%mod;
}
}
}
}
ll ans=0;
for (int k=0; k<=lim; ++k) ans=(ans+dp[n][1][k][2])%mod;
cout<<ans;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
1108 KB |
Output is correct |
6 |
Correct |
1 ms |
972 KB |
Output is correct |
7 |
Correct |
1 ms |
596 KB |
Output is correct |
8 |
Correct |
1 ms |
588 KB |
Output is correct |
9 |
Correct |
3 ms |
1092 KB |
Output is correct |
10 |
Correct |
1 ms |
584 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
852 KB |
Output is correct |
2 |
Correct |
1 ms |
852 KB |
Output is correct |
3 |
Correct |
1 ms |
852 KB |
Output is correct |
4 |
Correct |
1 ms |
852 KB |
Output is correct |
5 |
Correct |
1 ms |
852 KB |
Output is correct |
6 |
Correct |
1 ms |
980 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
1 ms |
852 KB |
Output is correct |
9 |
Correct |
1 ms |
980 KB |
Output is correct |
10 |
Correct |
1 ms |
852 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
1108 KB |
Output is correct |
6 |
Correct |
1 ms |
972 KB |
Output is correct |
7 |
Correct |
1 ms |
596 KB |
Output is correct |
8 |
Correct |
1 ms |
588 KB |
Output is correct |
9 |
Correct |
3 ms |
1092 KB |
Output is correct |
10 |
Correct |
1 ms |
584 KB |
Output is correct |
11 |
Correct |
1 ms |
852 KB |
Output is correct |
12 |
Correct |
1 ms |
852 KB |
Output is correct |
13 |
Correct |
1 ms |
852 KB |
Output is correct |
14 |
Correct |
1 ms |
852 KB |
Output is correct |
15 |
Correct |
1 ms |
852 KB |
Output is correct |
16 |
Correct |
1 ms |
980 KB |
Output is correct |
17 |
Correct |
1 ms |
852 KB |
Output is correct |
18 |
Correct |
1 ms |
852 KB |
Output is correct |
19 |
Correct |
1 ms |
980 KB |
Output is correct |
20 |
Correct |
1 ms |
852 KB |
Output is correct |
21 |
Correct |
4 ms |
3540 KB |
Output is correct |
22 |
Correct |
87 ms |
69104 KB |
Output is correct |
23 |
Correct |
111 ms |
80896 KB |
Output is correct |
24 |
Correct |
100 ms |
79096 KB |
Output is correct |
25 |
Correct |
109 ms |
81696 KB |
Output is correct |
26 |
Correct |
98 ms |
76484 KB |
Output is correct |
27 |
Correct |
45 ms |
43216 KB |
Output is correct |
28 |
Correct |
55 ms |
49992 KB |
Output is correct |
29 |
Correct |
95 ms |
76208 KB |
Output is correct |
30 |
Correct |
116 ms |
81944 KB |
Output is correct |