#include<bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3")
#define foru(i,a,b) for(int i=(a); i<=(b); ++i)
#define ford(i,a,b) for(int i=(a); i>=(b); --i)
#define rep(i,a) for(int i=0; i<(a); ++i)
#define all(a) (a).begin(),(a).end()
#define sz(a) (int)(a).size()
#define ii pair<int,int>
#define fi first
#define se second
#define eb emplace_back
#define pb push_back
#define ll long long
const int N=105;
const int mod=1e9+7;
int n,l,a[N],dp[N][N][1001][3];
inline void add(int &a, int b){
a+=b; if(a>=mod) a-=mod;
}
inline int mul(int a, int b){
return (ll)a*b % mod;
}
void solve(){
cin>>n>>l;
foru(i,1,n) cin>>a[i];
if(n==1){
cout<<"1\n";
return;
}
sort(a+1,a+1+n);
dp[0][0][0][0]=1;
foru(i,0,n-1) foru(cc,0,i) foru(cost,0,l) foru(fe,0,2){
int ncost=(2*cc-fe)*(a[i+1]-a[i]), r=dp[i][cc][cost][fe];
if(cost+ncost>l || r==0) continue;
///t1
add(dp[i+1][cc+1][cost+ncost][fe], mul(r,cc+1-fe));
if(fe<2) add(dp[i+1][cc+1][cost+ncost][fe+1], mul(r,2-fe));
///t2
if(cc>=1){
add(dp[i+1][cc][cost+ncost][fe], mul(r,2*cc-fe));
if(fe<2) add(dp[i+1][cc][cost+ncost][fe+1], mul(r,2-fe));
}
///t3
if(cc>=2){
add(dp[i+1][cc-1][cost+ncost][fe], mul(r,cc-1));
}
}
int res=0;
foru(lp,0,l){
add(res,dp[n][1][lp][2]);
}
cout<<res<<'\n';
}
int main() {
#define task "test"
if(fopen(task".inp","r")) {
freopen(task".inp","r",stdin);
freopen(task".out","w",stdout);
}
cin.tie(0)->sync_with_stdio(0);
// double start=clock();
solve();
// fprintf(stderr, "Elapsed time: %.3fs\n", (clock()-start)/CLOCKS_PER_SEC);
}
Compilation message (stderr)
skyscraper.cpp: In function 'int main()':
skyscraper.cpp:72:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
72 | freopen(task".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
skyscraper.cpp:73:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
73 | freopen(task".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |