#include <bits/stdc++.h>
using namespace std;
#define ll long long int
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define ordered_set tree<ll, null_type,less<ll>, rb_tree_tag,tree_order_statistics_node_update>
#define ld long double
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
#define all(a) a.begin(),a.end()
#define sz(a) (ll)(a.size())
const int M = 101;
const int mod = 1e9+7;
int a[M],n,L;
int dp[101][1001][2][101][2];
int solve(int id, int l, int kl, int k, int kr)
{
int nl = l;
if(id > 1)
{
nl += (kl + kr + 2*k)*(a[id] - a[id-1]);
}
if(nl > L)
return 0;
if(id == n)
{
if(k)
return 0;
else
return 1;
}
if(dp[id][l][kl][k][kr] != -1)
return dp[id][l][kl][k][kr];
int res = 0;
// add to the left segment
res = (res + solve(id + 1, nl, 1, k, kr))%mod;
// add to left and merge with middle
if(k)
res = (res + (k*1LL*solve(id + 1, nl, 1, k - 1, kr))%mod)%mod;
// add to the right segment
res = (res + solve(id + 1, nl, kl, k, 1))%mod;
// add to right and merge with middle
if(k)
res = (res + (k*1LL*solve(id + 1, nl, kl, k - 1, 1))%mod)%mod;
// create new in the middle
res = (res + solve(id + 1, nl, kl , k + 1, kr))%mod;
// add to some segment in the middle
if(k)
res = (res + (k*2LL*solve(id + 1, nl, kl, k, kr))%mod)%mod;
// merge two middle segments
if(k >= 2)
res = (res + (k*(k-1)*1LL*solve(id + 1, nl, kl, k-1, kr))%mod)%mod;
return dp[id][l][kl][k][kr] = res;
}
int main()
{
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin>>n>>L;
for(int i=1;i<=n;i++)
cin>>a[i];
sort(a+1, a+n+1);
memset(dp, -1, sizeof(dp));
cout<<solve(1, 0, 0, 0, 0)<<"\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
83 ms |
160068 KB |
Output is correct |
2 |
Correct |
72 ms |
160044 KB |
Output is correct |
3 |
Correct |
74 ms |
160092 KB |
Output is correct |
4 |
Correct |
74 ms |
160104 KB |
Output is correct |
5 |
Correct |
81 ms |
160092 KB |
Output is correct |
6 |
Correct |
74 ms |
160160 KB |
Output is correct |
7 |
Correct |
73 ms |
160068 KB |
Output is correct |
8 |
Correct |
73 ms |
160048 KB |
Output is correct |
9 |
Correct |
73 ms |
160048 KB |
Output is correct |
10 |
Correct |
92 ms |
160116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
76 ms |
160096 KB |
Output is correct |
2 |
Correct |
76 ms |
160048 KB |
Output is correct |
3 |
Correct |
74 ms |
160148 KB |
Output is correct |
4 |
Correct |
74 ms |
160116 KB |
Output is correct |
5 |
Correct |
73 ms |
160156 KB |
Output is correct |
6 |
Correct |
74 ms |
160060 KB |
Output is correct |
7 |
Correct |
86 ms |
160072 KB |
Output is correct |
8 |
Correct |
75 ms |
160148 KB |
Output is correct |
9 |
Correct |
77 ms |
160100 KB |
Output is correct |
10 |
Correct |
75 ms |
160060 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
83 ms |
160068 KB |
Output is correct |
2 |
Correct |
72 ms |
160044 KB |
Output is correct |
3 |
Correct |
74 ms |
160092 KB |
Output is correct |
4 |
Correct |
74 ms |
160104 KB |
Output is correct |
5 |
Correct |
81 ms |
160092 KB |
Output is correct |
6 |
Correct |
74 ms |
160160 KB |
Output is correct |
7 |
Correct |
73 ms |
160068 KB |
Output is correct |
8 |
Correct |
73 ms |
160048 KB |
Output is correct |
9 |
Correct |
73 ms |
160048 KB |
Output is correct |
10 |
Correct |
92 ms |
160116 KB |
Output is correct |
11 |
Correct |
76 ms |
160096 KB |
Output is correct |
12 |
Correct |
76 ms |
160048 KB |
Output is correct |
13 |
Correct |
74 ms |
160148 KB |
Output is correct |
14 |
Correct |
74 ms |
160116 KB |
Output is correct |
15 |
Correct |
73 ms |
160156 KB |
Output is correct |
16 |
Correct |
74 ms |
160060 KB |
Output is correct |
17 |
Correct |
86 ms |
160072 KB |
Output is correct |
18 |
Correct |
75 ms |
160148 KB |
Output is correct |
19 |
Correct |
77 ms |
160100 KB |
Output is correct |
20 |
Correct |
75 ms |
160060 KB |
Output is correct |
21 |
Correct |
73 ms |
160060 KB |
Output is correct |
22 |
Correct |
371 ms |
160168 KB |
Output is correct |
23 |
Correct |
135 ms |
160256 KB |
Output is correct |
24 |
Correct |
172 ms |
160068 KB |
Output is correct |
25 |
Correct |
146 ms |
160156 KB |
Output is correct |
26 |
Correct |
135 ms |
160172 KB |
Output is correct |
27 |
Correct |
133 ms |
160268 KB |
Output is correct |
28 |
Correct |
146 ms |
160068 KB |
Output is correct |
29 |
Correct |
217 ms |
160168 KB |
Output is correct |
30 |
Correct |
143 ms |
160164 KB |
Output is correct |