#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 1e2 + 5, MOD = 1e9 + 7;
int n,l,a[N];
int dp[N][N][2][2][N*10];
void add(int &x,int y){
x += y;
if(x >= MOD) x -= MOD;
}
void test(){
cin >> n >> l;
for(int i = 1;i <= n;i++) {
cin >> a[i];
}
sort(a + 1,a + n + 1);
if(n == 1) {
cout << 1;
return;
}
if(a[2] - a[1] + a[2] - a[1] <= l) dp[2][1][0][0][(a[2]-a[1])*2] = 1;
if(a[2] - a[1] <= l) dp[2][1][0][1][a[2]-a[1]] = dp[2][1][1][0][a[2]-a[1]] = 1;
a[n+1] = 10000;
for(int i = 2;i <= n;i++){
for(int j = 1;j <= i;j++){
for(int s = 0;s < 2;s++){
for(int t = 0;t < 2;t++){
for(int k = 0;k <= l;k++){
int d = dp[i][j][s][t][k];
ll val = (a[i+1]-a[i]);
{//new
if(k+val*((j+1)*2-s-t) <= l) add(dp[i+1][j+1][s][t][k+val*((j+1)*2-s-t)],d*1ll*(j+1-s-t)%MOD);
if(!s){
if(k+val*((j+1)*2-1-t) <=l)add(dp[i+1][j+1][1][t][k+val*((j+1)*2-1-t)],d);
}
if(!t){
if(k+val*((j+1)*2-1-s) <= l)add(dp[i+1][j+1][s][1][k+val*((j+1)*2-1-s)],d);
}
}
{//merge
if(k+val*((j-1)*2-s-t)<=l)add(dp[i+1][j-1][s][t][k+val*((j-1)*2-s-t)],d*1ll*(j-1)%MOD);
}
{//corner
if(k+val*(2*j-s-t) <= l) add(dp[i+1][j][s][t][k+val*(2*j-s-t)],d*1ll*(j*2-s-t)%MOD);
if(!s){
if(k+val*(2*j-1-t) <= l) add(dp[i+1][j][1][t][k+val*(2*j-1-t)],d);
}
if(!t){
if(k+val*(2*j-1-s) <= l) add(dp[i+1][j][s][1][k+val*(2*j-1-s)],d);
}
}
}
}
}
}
}
int ans = 0;
for(int i = 1;i <= l;i++){
add(ans,dp[n + 1][1][1][1][i]);
}
cout << ans;
}
int main(){
ios_base::sync_with_stdio(false);cin.tie(0);
int T = 1;
// cin >> T;
while (T--){
test();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
2516 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2652 KB |
Output is correct |
5 |
Correct |
2 ms |
2908 KB |
Output is correct |
6 |
Correct |
2 ms |
2980 KB |
Output is correct |
7 |
Correct |
1 ms |
2908 KB |
Output is correct |
8 |
Correct |
1 ms |
3164 KB |
Output is correct |
9 |
Correct |
2 ms |
2908 KB |
Output is correct |
10 |
Correct |
1 ms |
3164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
3932 KB |
Output is correct |
2 |
Correct |
1 ms |
3932 KB |
Output is correct |
3 |
Correct |
2 ms |
4252 KB |
Output is correct |
4 |
Correct |
1 ms |
3676 KB |
Output is correct |
5 |
Correct |
1 ms |
3932 KB |
Output is correct |
6 |
Correct |
2 ms |
4188 KB |
Output is correct |
7 |
Correct |
1 ms |
3932 KB |
Output is correct |
8 |
Correct |
2 ms |
4188 KB |
Output is correct |
9 |
Correct |
2 ms |
4188 KB |
Output is correct |
10 |
Correct |
1 ms |
3676 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
2516 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2652 KB |
Output is correct |
5 |
Correct |
2 ms |
2908 KB |
Output is correct |
6 |
Correct |
2 ms |
2980 KB |
Output is correct |
7 |
Correct |
1 ms |
2908 KB |
Output is correct |
8 |
Correct |
1 ms |
3164 KB |
Output is correct |
9 |
Correct |
2 ms |
2908 KB |
Output is correct |
10 |
Correct |
1 ms |
3164 KB |
Output is correct |
11 |
Correct |
2 ms |
3932 KB |
Output is correct |
12 |
Correct |
1 ms |
3932 KB |
Output is correct |
13 |
Correct |
2 ms |
4252 KB |
Output is correct |
14 |
Correct |
1 ms |
3676 KB |
Output is correct |
15 |
Correct |
1 ms |
3932 KB |
Output is correct |
16 |
Correct |
2 ms |
4188 KB |
Output is correct |
17 |
Correct |
1 ms |
3932 KB |
Output is correct |
18 |
Correct |
2 ms |
4188 KB |
Output is correct |
19 |
Correct |
2 ms |
4188 KB |
Output is correct |
20 |
Correct |
1 ms |
3676 KB |
Output is correct |
21 |
Correct |
8 ms |
12984 KB |
Output is correct |
22 |
Correct |
112 ms |
54784 KB |
Output is correct |
23 |
Correct |
153 ms |
70736 KB |
Output is correct |
24 |
Correct |
134 ms |
78020 KB |
Output is correct |
25 |
Correct |
168 ms |
70064 KB |
Output is correct |
26 |
Correct |
137 ms |
71764 KB |
Output is correct |
27 |
Correct |
73 ms |
87232 KB |
Output is correct |
28 |
Correct |
82 ms |
87144 KB |
Output is correct |
29 |
Correct |
127 ms |
86812 KB |
Output is correct |
30 |
Correct |
156 ms |
69900 KB |
Output is correct |