#include <bits/stdc++.h>
#define ll long long
#define fi first
#define se second
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
using namespace std;
const ll MOD=1e9+7;
ll N,M,a[105],dp[105][105][1005][3];
int main(){
cin>>N>>M;
for(int i=1;i<=N;i++){
cin>>a[i];
}
if(N==1){
cout<<1<<endl;
return 0;
}
sort(a+1,a+N+1);
a[0]=0;
memset(dp,0,sizeof(dp));
dp[0][0][0][0]=1;
for(int i=0;i<=N-1;i++){
for(int cc=0;cc<=N-1;cc++){
for(int k=0;k<=M;k++){
for(int e=0;e<=2;e++){
if(2*cc-e<0){
continue;
}
ll cost=(a[i+1]-a[i])*(2*cc-e);
if(k+cost>M){
continue;
}
ll cur=dp[i][cc][k][e];
//new
dp[i+1][cc+1][k+cost][e]+=cur;
if(e<=1){
dp[i+1][cc+1][k+cost][e+1]+=(2-e)*cur;
}
//stick
dp[i+1][cc][k+cost][e]+=(2*cc-e)*cur;
dp[i+1][cc][k+cost][e+1]+=(2-e)*(cc-e)*cur;
if(i==N-1){
dp[i+1][cc][k+cost][e+1]+=cur;
}
//merge
if(cc-e>=2){
dp[i+1][cc-1][k+cost][e]+=(cc-e)*(cc-e-1)*cur;
}
if(cc-e>0&&e>0){
dp[i+1][cc-1][k+cost][e]+=(cc-e)*e*cur;
}
if(e==2&&i==N-1){
dp[i+1][cc-1][k+cost][e]+=cur;
}
dp[i+1][cc+1][k+cost][e]%=MOD;
dp[i+1][cc+1][k+cost][e+1]%=MOD;
dp[i+1][cc][k+cost][e]%=MOD;
dp[i+1][cc][k+cost][e+1]%=MOD;
dp[i+1][cc-1][k+cost][e]%=MOD;
}
}
}
}
ll sum=0;
for(int i=0;i<=M;i++){
sum+=dp[N][1][i][2];
sum%=MOD;
}
cout<<sum<<endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
144 ms |
260380 KB |
Output is correct |
3 |
Correct |
99 ms |
260368 KB |
Output is correct |
4 |
Correct |
108 ms |
260428 KB |
Output is correct |
5 |
Correct |
117 ms |
260444 KB |
Output is correct |
6 |
Correct |
101 ms |
260384 KB |
Output is correct |
7 |
Correct |
101 ms |
260428 KB |
Output is correct |
8 |
Correct |
102 ms |
260424 KB |
Output is correct |
9 |
Correct |
103 ms |
260404 KB |
Output is correct |
10 |
Correct |
105 ms |
260448 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
101 ms |
260456 KB |
Output is correct |
2 |
Correct |
101 ms |
260460 KB |
Output is correct |
3 |
Correct |
105 ms |
260428 KB |
Output is correct |
4 |
Correct |
102 ms |
260408 KB |
Output is correct |
5 |
Correct |
106 ms |
260456 KB |
Output is correct |
6 |
Correct |
103 ms |
260468 KB |
Output is correct |
7 |
Correct |
101 ms |
260452 KB |
Output is correct |
8 |
Correct |
108 ms |
260428 KB |
Output is correct |
9 |
Correct |
107 ms |
260404 KB |
Output is correct |
10 |
Correct |
100 ms |
260420 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
144 ms |
260380 KB |
Output is correct |
3 |
Correct |
99 ms |
260368 KB |
Output is correct |
4 |
Correct |
108 ms |
260428 KB |
Output is correct |
5 |
Correct |
117 ms |
260444 KB |
Output is correct |
6 |
Correct |
101 ms |
260384 KB |
Output is correct |
7 |
Correct |
101 ms |
260428 KB |
Output is correct |
8 |
Correct |
102 ms |
260424 KB |
Output is correct |
9 |
Correct |
103 ms |
260404 KB |
Output is correct |
10 |
Correct |
105 ms |
260448 KB |
Output is correct |
11 |
Correct |
101 ms |
260456 KB |
Output is correct |
12 |
Correct |
101 ms |
260460 KB |
Output is correct |
13 |
Correct |
105 ms |
260428 KB |
Output is correct |
14 |
Correct |
102 ms |
260408 KB |
Output is correct |
15 |
Correct |
106 ms |
260456 KB |
Output is correct |
16 |
Correct |
103 ms |
260468 KB |
Output is correct |
17 |
Correct |
101 ms |
260452 KB |
Output is correct |
18 |
Correct |
108 ms |
260428 KB |
Output is correct |
19 |
Correct |
107 ms |
260404 KB |
Output is correct |
20 |
Correct |
100 ms |
260420 KB |
Output is correct |
21 |
Correct |
106 ms |
260560 KB |
Output is correct |
22 |
Correct |
521 ms |
260556 KB |
Output is correct |
23 |
Correct |
491 ms |
260480 KB |
Output is correct |
24 |
Correct |
488 ms |
260480 KB |
Output is correct |
25 |
Correct |
517 ms |
260484 KB |
Output is correct |
26 |
Correct |
472 ms |
260484 KB |
Output is correct |
27 |
Correct |
241 ms |
260476 KB |
Output is correct |
28 |
Correct |
301 ms |
260476 KB |
Output is correct |
29 |
Correct |
461 ms |
260544 KB |
Output is correct |
30 |
Correct |
523 ms |
260484 KB |
Output is correct |