#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 1e2 + 5, MOD = 1e9 + 7;
int n,l,a[N];
map<int,int> dp[N][N][2][2];
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;
}
dp[1][1][0][0][-a[1] * 2] = 1;
dp[1][1][0][1][-a[1]] = dp[1][1][1][0][-a[1]] = 1;
for(int i = 1;i <= n;i++){
a[i] = a[i+1];
for(int j = 1;j <= i;j++){
for(int s = 0;s < 2;s++){
for(int t = 0;t < 2;t++){
for(auto [k,d]:dp[i][j][s][t]){
// cout << i << ' ' << j << ' ' << s << ' ' << t << ' ' << k << ' ' << d << '\n';
{//new
add(dp[i+1][j+1][s][t][k-a[i]*2],d*1ll*(j+1-s-t)%MOD);
if(!s){
add(dp[i+1][j+1][1][t][k-a[i]],d);
}
if(!t){
add(dp[i+1][j+1][s][1][k-a[i]],d);
}
}
{//merge
add(dp[i+1][j-1][s][t][k+a[i]*2],d*1ll*(j-1)%MOD);
}
{//corner
add(dp[i+1][j][s][t][k],d*1ll*(j*2-s-t)%MOD);
if(!s){
add(dp[i+1][j][1][t][k+a[i]],d);
}
if(!t){
add(dp[i+1][j][s][1][k+a[i]],d);
}
}
}
}
}
}
}
int ans = 0;
for(auto [x,y]:dp[n][1][1][1]){
if(x <= l && x >= 0){
add(ans,y);
}
}
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 |
2 ms |
2396 KB |
Output is correct |
2 |
Correct |
2 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
2 ms |
2652 KB |
Output is correct |
5 |
Correct |
14 ms |
6368 KB |
Output is correct |
6 |
Correct |
14 ms |
6492 KB |
Output is correct |
7 |
Correct |
8 ms |
4184 KB |
Output is correct |
8 |
Correct |
3 ms |
2908 KB |
Output is correct |
9 |
Correct |
14 ms |
6460 KB |
Output is correct |
10 |
Correct |
3 ms |
2908 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
3164 KB |
Output is correct |
2 |
Correct |
34 ms |
9988 KB |
Output is correct |
3 |
Correct |
7 ms |
3932 KB |
Output is correct |
4 |
Correct |
34 ms |
10076 KB |
Output is correct |
5 |
Correct |
43 ms |
11612 KB |
Output is correct |
6 |
Correct |
21 ms |
6744 KB |
Output is correct |
7 |
Correct |
13 ms |
4956 KB |
Output is correct |
8 |
Correct |
7 ms |
3932 KB |
Output is correct |
9 |
Correct |
8 ms |
4064 KB |
Output is correct |
10 |
Correct |
28 ms |
8796 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2396 KB |
Output is correct |
2 |
Correct |
2 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
2 ms |
2652 KB |
Output is correct |
5 |
Correct |
14 ms |
6368 KB |
Output is correct |
6 |
Correct |
14 ms |
6492 KB |
Output is correct |
7 |
Correct |
8 ms |
4184 KB |
Output is correct |
8 |
Correct |
3 ms |
2908 KB |
Output is correct |
9 |
Correct |
14 ms |
6460 KB |
Output is correct |
10 |
Correct |
3 ms |
2908 KB |
Output is correct |
11 |
Correct |
4 ms |
3164 KB |
Output is correct |
12 |
Correct |
34 ms |
9988 KB |
Output is correct |
13 |
Correct |
7 ms |
3932 KB |
Output is correct |
14 |
Correct |
34 ms |
10076 KB |
Output is correct |
15 |
Correct |
43 ms |
11612 KB |
Output is correct |
16 |
Correct |
21 ms |
6744 KB |
Output is correct |
17 |
Correct |
13 ms |
4956 KB |
Output is correct |
18 |
Correct |
7 ms |
3932 KB |
Output is correct |
19 |
Correct |
8 ms |
4064 KB |
Output is correct |
20 |
Correct |
28 ms |
8796 KB |
Output is correct |
21 |
Correct |
341 ms |
63824 KB |
Output is correct |
22 |
Execution timed out |
2089 ms |
386844 KB |
Time limit exceeded |
23 |
Halted |
0 ms |
0 KB |
- |