This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define MAXN 107
using namespace std;
const long long mod=1e9+7;
int n,s,a[MAXN],ans,pref[MAXN];
unordered_map<int,int> dp[MAXN][MAXN][3][3];
bool ok(int sum){
    return true;
   // return sum>=-5000 and sum<=s;
}
long long even(int pos,int bal,int sum,int l,int r){
    if(bal<0 or bal>n or sum>s)return 0;
    if(sum+pref[pos-(bal-n/2)]-pref[pos-1]>s)return 0;
    long long free=2*(bal-n/2)+(-(l==1)-(r==1)) - (-(l==2)-(r==2));
    if(free<0)return 0;
    if(pos==n+1 and bal==n/2 and l+r==3 and free==0)return 1;
    else if(pos==n+1 and (bal==n/2-1 or bal==n/2+1) and l==r and l!=0 and free==0)return 1;
    else if(pos==n+1)return 0;
    if(free==0 and pos!=1)return 0;
    if(dp[pos][bal][l][r].find(sum)!=dp[pos][bal][l][r].end())return dp[pos][bal][l][r][sum];
    long long curr=0;
    curr+=even(pos+1,bal,sum,l,r)*free;
    if(l==0){
        curr+=even(pos+1,bal+1,sum-a[pos],1,r);
        curr+=even(pos+1,bal-1,sum+a[pos],2,r);
    }
    if(r==0){
        curr+=even(pos+1,bal+1,sum-a[pos],l,1);
        curr+=even(pos+1,bal-1,sum+a[pos],l,2);
    }
    long long mult=bal-n/2+1-(l==1)-(r==1);
    long long mult2=bal-n/2-1+(l==2)+(r==2);
    curr+=even(pos+1,bal+1,sum-2*a[pos],l,r)*mult;
    curr+=even(pos+1,bal-1,sum+2*a[pos],l,r)*mult2;
    curr%=mod;
    dp[pos][bal][l][r][sum]=curr;
    return curr;
}
void calc_even(){
    ans+=even(1,n/2,0,0,0);
}
int main(){
    cin>>n>>s;
    int mins=1000;
    if(n==1){
        cout<<1<<"\n";
        return 0;
    }
    for(int i=1;i<=n;i++){
        cin>>a[i];
    }
    sort(a+1,a+n+1);
    mins=a[1];
    for(int i=1;i<=n;i++){
        a[i]-=mins;
        pref[i]=pref[i-1]+a[i];
    }
    calc_even();
    cout<<ans%mod<<"\n";
    return 0;
}
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