#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
typedef long long llong;
const int MAXN = 15 + 10;
const int MAXL = 1000 + 10;
const int MOD = 1e9 + 7;
int n, l;
int a[MAXN];
int dp[MAXN][MAXN][2 * MAXN * MAXL][2][2];
bool bl[MAXN][MAXN][2 * MAXN * MAXL][2][2];
int f(int idx, int count, int sum, bool foundB, bool foundE)
{
if (idx == n + 1)
{
if (!foundB || !foundE) return 0;
return (count == 1 && sum <= MAXN * MAXL + l);
}
if (bl[idx][count][sum][foundB][foundE])
{
return dp[idx][count][sum][foundB][foundE];
}
bl[idx][count][sum][foundB][foundE] = 1;
llong res = f(idx + 1, count + 1, sum - 2 * a[idx], foundB, foundE);
if (!foundB)
{
res += f(idx + 1, count + 1, sum - a[idx], 1, foundE);
}
if (!foundE)
{
res += f(idx + 1, count + 1, sum - a[idx], foundB, 1);
}
if (count >= 1)
{
res += (2LL * count - foundB - foundE) * f(idx + 1, count, sum, foundB, foundE);
if (!foundB)
{
res += (count - foundE) * f(idx + 1, count, sum + a[idx], 1, foundE);
if (foundE && count == 1 && idx == n)
{
res += f(idx + 1, count, sum + a[idx], 1, foundE);
}
}
if (!foundE)
{
res += (count - foundB) * f(idx + 1, count, sum + a[idx], foundB, 1);
if (foundB && count == 1 && idx == n)
{
res += f(idx + 1, count, sum + a[idx], foundB, 1);
}
}
}
if (count >= 2)
{
int cntFree = count - foundB - foundE;
res += 1LL * cntFree * (cntFree - 1) * f(idx + 1, count - 1, sum + 2 * a[idx], foundB, foundE);
if (foundB)
{
res += 1LL * (count - 1 - foundE) * f(idx + 1, count - 1, sum + 2 * a[idx], foundB, foundE);
}
if (foundE)
{
res += 1LL * (count - 1 - foundB) * f(idx + 1, count - 1, sum + 2 * a[idx], foundB, foundE);
}
if (foundB && foundE && idx == n)
{
res += f(idx + 1, count - 1, sum + 2 * a[idx], foundB, foundE);
}
}
return dp[idx][count][sum][foundB][foundE] = res % MOD;
}
void solve()
{
if (n == 1)
{
std::cout << 1 << '\n';
return;
}
std::sort(a + 1, a + 1 + n);
std::cout << f(1, 0, MAXN * MAXL, 0, 0) << '\n';
}
void input()
{
std::cin >> n >> l;
for (int i = 1 ; i <= n ; ++i)
{
std::cin >> a[i];
}
}
void fastIOI()
{
std::ios_base:: sync_with_stdio(0);
std::cout.tie(nullptr);
std::cin.tie(nullptr);
}
int main()
{
fastIOI();
input();
solve();
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
604 KB |
Output is correct |
5 |
Correct |
1 ms |
1628 KB |
Output is correct |
6 |
Correct |
1 ms |
1564 KB |
Output is correct |
7 |
Correct |
1 ms |
860 KB |
Output is correct |
8 |
Correct |
1 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
1372 KB |
Output is correct |
10 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1112 KB |
Output is correct |
2 |
Correct |
3 ms |
1884 KB |
Output is correct |
3 |
Correct |
1 ms |
1372 KB |
Output is correct |
4 |
Correct |
3 ms |
1884 KB |
Output is correct |
5 |
Correct |
5 ms |
1880 KB |
Output is correct |
6 |
Correct |
2 ms |
1628 KB |
Output is correct |
7 |
Correct |
2 ms |
1628 KB |
Output is correct |
8 |
Correct |
1 ms |
1372 KB |
Output is correct |
9 |
Correct |
1 ms |
1484 KB |
Output is correct |
10 |
Correct |
3 ms |
1884 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
604 KB |
Output is correct |
5 |
Correct |
1 ms |
1628 KB |
Output is correct |
6 |
Correct |
1 ms |
1564 KB |
Output is correct |
7 |
Correct |
1 ms |
860 KB |
Output is correct |
8 |
Correct |
1 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
1372 KB |
Output is correct |
10 |
Correct |
1 ms |
604 KB |
Output is correct |
11 |
Correct |
1 ms |
1112 KB |
Output is correct |
12 |
Correct |
3 ms |
1884 KB |
Output is correct |
13 |
Correct |
1 ms |
1372 KB |
Output is correct |
14 |
Correct |
3 ms |
1884 KB |
Output is correct |
15 |
Correct |
5 ms |
1880 KB |
Output is correct |
16 |
Correct |
2 ms |
1628 KB |
Output is correct |
17 |
Correct |
2 ms |
1628 KB |
Output is correct |
18 |
Correct |
1 ms |
1372 KB |
Output is correct |
19 |
Correct |
1 ms |
1484 KB |
Output is correct |
20 |
Correct |
3 ms |
1884 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Incorrect |
5 ms |
2140 KB |
Output isn't correct |
23 |
Halted |
0 ms |
0 KB |
- |