#include"bits/stdc++.h"
using namespace std;
#define ll long long
#define endl "\n"
#define fastio ios_base::sync_with_stdio(false)
#define inf LLONG_MAX
const ll mod=1e9+7;
ll dp[120][120][1020][5];
int main(){
fastio;
int n,L;
cin>>n>>L;
int a[n+1];
for(int i=1;i<=n;i++) cin>>a[i];
sort(a+1,a+n+1);
for(int open=0;open<=2;open++){
dp[1][1][0][open]=1+(open==1);
}
for(int i=1;i<n;i++){
int d=a[i+1]-a[i];
for(int j=1;j<=n;j++){
for(int cost=0;cost<=L;cost++){
for(int close=0;close<=2;close++){
int nxt=cost+(j+j-close)*d;
if(nxt<=L){
dp[i+1][j+1][nxt][close]+=dp[i][j][cost][close]*(j+1-close);
dp[i+1][j+1][nxt][close]%=mod;
dp[i+1][j][nxt][close]+=dp[i][j][cost][close]*(j+j-close);
dp[i+1][j][nxt][close]%=mod;
}
if(nxt<=L && j-1>0){
dp[i+1][j-1][nxt][close]+=dp[i][j][cost][close]*(j-1);
dp[i+1][j-1][nxt][close]%=mod;
}
if(nxt<=L && close+1<=2){
dp[i+1][j][nxt][close+1]+=dp[i][j][cost][close]*(2-close);
dp[i+1][j][nxt][close+1]%=mod;
dp[i+1][j+1][nxt][close+1]+=dp[i][j][cost][close]*(2-close);
dp[i+1][j+1][nxt][close+1]%=mod;
}
}
}
}
}
ll ans=0;
for(int cost=0;cost<=L;cost++){
ans+=dp[n][1][cost][2];
ans%=mod;
}
cout<<ans<<endl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
460 KB |
Output is correct |
5 |
Correct |
1 ms |
1484 KB |
Output is correct |
6 |
Correct |
2 ms |
1484 KB |
Output is correct |
7 |
Correct |
1 ms |
588 KB |
Output is correct |
8 |
Correct |
1 ms |
700 KB |
Output is correct |
9 |
Correct |
2 ms |
1740 KB |
Output is correct |
10 |
Correct |
1 ms |
716 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1228 KB |
Output is correct |
2 |
Correct |
1 ms |
1228 KB |
Output is correct |
3 |
Correct |
1 ms |
1356 KB |
Output is correct |
4 |
Correct |
1 ms |
1228 KB |
Output is correct |
5 |
Correct |
1 ms |
1228 KB |
Output is correct |
6 |
Correct |
2 ms |
1484 KB |
Output is correct |
7 |
Correct |
1 ms |
972 KB |
Output is correct |
8 |
Correct |
1 ms |
1356 KB |
Output is correct |
9 |
Correct |
1 ms |
1484 KB |
Output is correct |
10 |
Correct |
1 ms |
1228 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
460 KB |
Output is correct |
5 |
Correct |
1 ms |
1484 KB |
Output is correct |
6 |
Correct |
2 ms |
1484 KB |
Output is correct |
7 |
Correct |
1 ms |
588 KB |
Output is correct |
8 |
Correct |
1 ms |
700 KB |
Output is correct |
9 |
Correct |
2 ms |
1740 KB |
Output is correct |
10 |
Correct |
1 ms |
716 KB |
Output is correct |
11 |
Correct |
1 ms |
1228 KB |
Output is correct |
12 |
Correct |
1 ms |
1228 KB |
Output is correct |
13 |
Correct |
1 ms |
1356 KB |
Output is correct |
14 |
Correct |
1 ms |
1228 KB |
Output is correct |
15 |
Correct |
1 ms |
1228 KB |
Output is correct |
16 |
Correct |
2 ms |
1484 KB |
Output is correct |
17 |
Correct |
1 ms |
972 KB |
Output is correct |
18 |
Correct |
1 ms |
1356 KB |
Output is correct |
19 |
Correct |
1 ms |
1484 KB |
Output is correct |
20 |
Correct |
1 ms |
1228 KB |
Output is correct |
21 |
Correct |
3 ms |
4428 KB |
Output is correct |
22 |
Correct |
212 ms |
197444 KB |
Output is correct |
23 |
Correct |
209 ms |
188132 KB |
Output is correct |
24 |
Correct |
199 ms |
184772 KB |
Output is correct |
25 |
Correct |
214 ms |
195340 KB |
Output is correct |
26 |
Correct |
195 ms |
173096 KB |
Output is correct |
27 |
Correct |
94 ms |
98076 KB |
Output is correct |
28 |
Correct |
112 ms |
120008 KB |
Output is correct |
29 |
Correct |
191 ms |
190540 KB |
Output is correct |
30 |
Correct |
212 ms |
192632 KB |
Output is correct |