#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for(long long i=0;i<(long long)(n);i++)
#define REP(i,k,n) for(long long i=k;i<(long long)(n);i++)
#define all(a) a.begin(),a.end()
#define rsort(a) {sort(all(a));reverse(all(a));}
#define pb emplace_back
#define eb emplace_back
#define lb(v,k) (lower_bound(all(v),k)-v.begin())
#define ub(v,k) (upper_bound(all(v),k)-v.begin())
#define fi first
#define se second
#define pi M_PI
#define PQ(T) priority_queue<T>
#define SPQ(T) priority_queue<T,vector<T>,greater<T>>
#define dame(a) {out(a);return 0;}
#define decimal cout<<fixed<<setprecision(15);
#define dupli(a) {sort(all(a));a.erase(unique(all(a)),a.end());}
typedef long long ll;
typedef pair<ll,ll> P;
typedef tuple<ll,ll,ll> PP;
typedef tuple<ll,ll,ll,ll> PPP;
typedef multiset<ll> S;
using vi=vector<ll>;
using vvi=vector<vi>;
using vvvi=vector<vvi>;
using vvvvi=vector<vvvi>;
using vp=vector<P>;
using vvp=vector<vp>;
using vb=vector<bool>;
using vvb=vector<vb>;
const ll inf=1001001001001001001;
const ll INF=1001001001;
const ll mod=1000000007;
const double eps=1e-10;
template<class T> bool chmin(T&a,T b){if(a>b){a=b;return true;}return false;}
template<class T> bool chmax(T&a,T b){if(a<b){a=b;return true;}return false;}
template<class T> void out(T a){cout<<a<<'\n';}
template<class T> void outp(T a){cout<<'('<<a.fi<<','<<a.se<<')'<<'\n';}
template<class T> void outvp(T v){rep(i,v.size())cout<<'('<<v[i].fi<<','<<v[i].se<<')';cout<<'\n';}
template<class T> void outvvp(T v){rep(i,v.size())outvp(v[i]);}
template<class T> void outv(T v){rep(i,v.size()){if(i)cout<<' ';cout<<v[i];}cout<<'\n';}
template<class T> void outvv(T v){rep(i,v.size())outv(v[i]);}
template<class T> bool isin(T x,T l,T r){return (l)<=(x)&&(x)<=(r);}
template<class T> void yesno(T b){if(b)out("yes");else out("no");}
template<class T> void YesNo(T b){if(b)out("Yes");else out("No");}
template<class T> void YESNO(T b){if(b)out("YES");else out("NO");}
template<class T> void noyes(T b){if(b)out("no");else out("yes");}
template<class T> void NoYes(T b){if(b)out("No");else out("Yes");}
template<class T> void NOYES(T b){if(b)out("NO");else out("YES");}
void outs(ll a,ll b){if(a>=inf-100)out(b);else out(a);}
ll gcd(ll a,ll b){if(b==0)return a;return gcd(b,a%b);}
ll modpow(ll a,ll b){ll res=1;a%=mod;while(b){if(b&1)res=res*a%mod;a=a*a%mod;b>>=1;}return res;}
int main(){
ll n,L;cin>>n>>L;
if(n==1)dame(1);
vi v(n);rep(i,n)cin>>v[i];
rsort(v);
ll k=n/2+1;
vvvvi dp(2,vvvi(2,vvi(k,vi(L+1))));
dp[0][0][0][0]=1;
ll ans=0;
rep(i,n){
ll dif=0;if(i)dif=v[i-1]-v[i];
vvvvi ndp(2,vvvi(2,vvi(k,vi(L+1))));
rep(a,2)rep(b,2)rep(j,k)rep(t,L+1)if(dp[a][b][j][t]){
ll ncost=t+(j*2-a-b)*dif;
if(ncost>L)continue;
if(j>1)ndp[a][b][j-1][ncost]+=dp[a][b][j][t]*((j-a-b)*(j-b-1)+b*(j-a-b))%mod;
if(i==n-1&&a+b==2&&j==2)ans+=dp[a][b][j][t];
ndp[a][b][j][ncost]+=dp[a][b][j][t]*(j*2-a-b)%mod;
if(a==0)ndp[a+1][b][j][ncost]+=dp[a][b][j][t]*(j-a-b)%mod;
if(b==0)ndp[a][b+1][j][ncost]+=dp[a][b][j][t]*(j-a-b)%mod;
if(i==n-1&&a+b==1&&j==1)ans+=dp[a][b][j][t];
if(j!=k-1)ndp[a][b][j+1][ncost]+=dp[a][b][j][t];
if(j!=k-1&&a==0)ndp[a+1][b][j+1][ncost]+=dp[a][b][j][t];
if(j!=k-1&&b==0)ndp[a][b+1][j+1][ncost]+=dp[a][b][j][t];
}
rep(a,2)rep(b,2)rep(j,k)rep(t,L+1)dp[a][b][j][t]=ndp[a][b][j][t]%mod;
ans%=mod;
}
out(ans);
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
256 KB |
Output is correct |
| 2 |
Correct |
0 ms |
364 KB |
Output is correct |
| 3 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
384 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
256 KB |
Output is correct |
| 2 |
Correct |
0 ms |
364 KB |
Output is correct |
| 3 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
