#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;
int mul(int a, int b) { return (ll)a*b%MOD; }
int ad(int a, int b) { return (a+b)%MOD; }
void MUL(int& a, int b) { a = mul(a,b); }
void AD(int& a, int b) { a = ad(a,b); }
void MN(int& a, int b) { a = min(a,b); }
int N,L, mn[3][101], mnTMP[3][101];
int dp[3][101][1001], dpTMP[3][101][1001];
vi A;
void tri(int a, int b, int c, int d) {
if (c > mnTMP[a][b]+L) return;
AD(dpTMP[a][b][c-mnTMP[a][b]],d);
}
void triEnd(int a, int b, int c, int x) {
if (!a) return;
int val = mul(a,dp[a][b][c]);
c += mn[a][b]+x; a --;
F0R(i,2) F0R(j,2) tri(a+i,b+j,c-i*x-2*j*x,val);
}
void triMid(int a, int b, int c, int x) {
if (!b) return;
int val = mul(b,dp[a][b][c]);
c += mn[a][b]+2*x; b --;
F0R(i,2) F0R(j,2) tri(a,b+i+j,c-2*i*x-2*j*x,val);
}
void process(int x) {
F0R(i,3) F0R(j,N+1) {
mnTMP[i][j] = MOD;
F0R(k,L+1) dpTMP[i][j][k] = 0;
}
F0R(i,3) F0R(j,N+1) if (mn[i][j] != MOD) {
if (i) F0R(I,2) F0R(J,2) MN(mnTMP[i-1+I][j+J],mn[i][j]+x-I*x-2*J*x);
if (j) F0R(I,2) F0R(J,2) MN(mnTMP[i][j-1+I+J],mn[i][j]+2*x-2*I*x-2*J*x);
}
F0R(i,3) F0R(j,N+1) if (mn[i][j] != MOD) F0R(k,L+1) {
triEnd(i,j,k,x);
triMid(i,j,k,x);
}
F0R(i,3) F0R(j,N+1) {
mn[i][j] = mnTMP[i][j];
F0R(k,L+1) dp[i][j][k] = dpTMP[i][j][k];
}
// cout << "AH " << mn[0][0] << "\n";
}
void finish() {
int ans = 0;
// cout << "ZZ " << mn[0][0] << "\n";
F0R(i,L-mn[0][0]+1) AD(ans,dp[0][0][i]);
cout << ans;
}
void input() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> N >> L; A.resize(N);
F0R(i,N) cin >> A[i];
sort(all(A));
//cout << A[0] << " " << A[N-1] << "\n";
}
void init(int x) {
F0R(i,3) F0R(j,N+1) mn[i][j] = MOD;
F0R(i,2) F0R(j,2) MN(mn[i+j][0],-(i+j)*A[0]);
F0R(i,2) F0R(j,2) dp[i+j][0][0] ++;
}
int main() {
input();
init(A[0]);
FOR(i,1,sz(A)) process(A[i]);
finish();
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
376 KB |
Output is correct |
2 |
Correct |
4 ms |
492 KB |
Output is correct |
3 |
Correct |
4 ms |
492 KB |
Output is correct |
4 |
Correct |
5 ms |
568 KB |
Output is correct |
5 |
Correct |
7 ms |
636 KB |
Output is correct |
6 |
Correct |
5 ms |
640 KB |
Output is correct |
7 |
Correct |
3 ms |
644 KB |
Output is correct |
8 |
Correct |
4 ms |
776 KB |
Output is correct |
9 |
Correct |
8 ms |
776 KB |
Output is correct |
10 |
Correct |
4 ms |
776 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
960 KB |
Output is correct |
2 |
Correct |
4 ms |
968 KB |
Output is correct |
3 |
Correct |
6 ms |
968 KB |
Output is correct |
4 |
Correct |
4 ms |
968 KB |
Output is correct |
5 |
Correct |
5 ms |
968 KB |
Output is correct |
6 |
Correct |
4 ms |
968 KB |
Output is correct |
7 |
Correct |
2 ms |
968 KB |
Output is correct |
8 |
Correct |
5 ms |
968 KB |
Output is correct |
9 |
Correct |
5 ms |
968 KB |
Output is correct |
10 |
Correct |
5 ms |
968 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
376 KB |
Output is correct |
2 |
Correct |
4 ms |
492 KB |
Output is correct |
3 |
Correct |
4 ms |
492 KB |
Output is correct |
4 |
Correct |
5 ms |
568 KB |
Output is correct |
5 |
Correct |
7 ms |
636 KB |
Output is correct |
6 |
Correct |
5 ms |
640 KB |
Output is correct |
7 |
Correct |
3 ms |
644 KB |
Output is correct |
8 |
Correct |
4 ms |
776 KB |
Output is correct |
9 |
Correct |
8 ms |
776 KB |
Output is correct |
10 |
Correct |
4 ms |
776 KB |
Output is correct |
11 |
Correct |
3 ms |
960 KB |
Output is correct |
12 |
Correct |
4 ms |
968 KB |
Output is correct |
13 |
Correct |
6 ms |
968 KB |
Output is correct |
14 |
Correct |
4 ms |
968 KB |
Output is correct |
15 |
Correct |
5 ms |
968 KB |
Output is correct |
16 |
Correct |
4 ms |
968 KB |
Output is correct |
17 |
Correct |
2 ms |
968 KB |
Output is correct |
18 |
Correct |
5 ms |
968 KB |
Output is correct |
19 |
Correct |
5 ms |
968 KB |
Output is correct |
20 |
Correct |
5 ms |
968 KB |
Output is correct |
21 |
Correct |
7 ms |
1548 KB |
Output is correct |
22 |
Correct |
364 ms |
2576 KB |
Output is correct |
23 |
Correct |
528 ms |
3120 KB |
Output is correct |
24 |
Correct |
552 ms |
3128 KB |
Output is correct |
25 |
Correct |
569 ms |
3184 KB |
Output is correct |
26 |
Correct |
506 ms |
3184 KB |
Output is correct |
27 |
Correct |
160 ms |
3184 KB |
Output is correct |
28 |
Correct |
205 ms |
3184 KB |
Output is correct |
29 |
Correct |
454 ms |
3212 KB |
Output is correct |
30 |
Correct |
717 ms |
3212 KB |
Output is correct |