#include <bits/stdc++.h>
using namespace std;
vector<pair<long long, long long> > dp[105][55][5];
long long a[105], mod=1e9+7;
void f(long long x, long long y, long long z)
{
for (pair<long long, long long> p:dp[x][y][z])
{
dp[x+1][y+1][z].push_back({p.first-a[x]*2, p.second});
dp[x+1][y][z+1].push_back({p.first-a[x], p.second});
if (y || z)
dp[x+1][y][z].push_back({p.first, p.second*(y*2+z)%mod});
if (y && z)
dp[x+1][y-1][z].push_back({p.first+a[x]*2, p.second*y%mod*z%mod});
if (y)
dp[x+1][y-1][z+1].push_back({p.first+a[x], p.second*y%mod});
if (y>=2)
dp[x+1][y-1][z].push_back({p.first+a[x]*2, p.second*y%mod*(y-1)%mod});
}
}
void g(long long x, long long y, long long z)
{
sort(dp[x][y][z].begin(), dp[x][y][z].end());
vector<pair<long long, long long> > tmp;
long long sum=0;
for (long long i=0; i<dp[x][y][z].size(); i++)
{
sum=(sum+dp[x][y][z][i].second)%mod;
if (i==dp[x][y][z].size()-1 || dp[x][y][z][i].first<dp[x][y][z][i+1].first)
{
tmp.push_back({dp[x][y][z][i].first, sum});
sum=0;
}
}
dp[x][y][z]=tmp;
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
long long n, m, ans=0;
cin >> n >> m;
if (n==1)
{
cout << 1;
return 0;
}
for (long long i=1; i<=n; i++)
cin >> a[i];
sort(a+1, a+n+1);
dp[1][0][0].push_back({0, 1});
f(1, 0, 0);
for (long long i=2; i<=n; i++)
{
for (long long j=0; j<=50; j++)
{
for (long long k=0; k<=2; k++)
{
g(i, j, k);
f(i, j, k);
}
}
}
for (long long i=0; i<dp[n][0][1].size(); i++)
if (dp[n][0][1][i].first<=m-a[n])
ans=(ans+dp[n][0][1][i].second)%mod;
for (long long i=0; i<dp[n][0][2].size(); i++)
if (dp[n][0][2][i].first<=m-a[n]*2)
ans=(ans+dp[n][0][2][i].second)%mod;
cout << (ans*2)%mod;
}
Compilation message
skyscraper.cpp: In function 'void g(long long int, long long int, long long int)':
skyscraper.cpp:26:26: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
26 | for (long long i=0; i<dp[x][y][z].size(); i++)
| ~^~~~~~~~~~~~~~~~~~~
skyscraper.cpp:29:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
29 | if (i==dp[x][y][z].size()-1 || dp[x][y][z][i].first<dp[x][y][z][i+1].first)
| ~^~~~~~~~~~~~~~~~~~~~~~
skyscraper.cpp: In function 'int main()':
skyscraper.cpp:65:26: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
65 | for (long long i=0; i<dp[n][0][1].size(); i++)
| ~^~~~~~~~~~~~~~~~~~~
skyscraper.cpp:68:26: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
68 | for (long long i=0; i<dp[n][0][2].size(); i++)
| ~^~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
1112 KB |
Output is correct |
2 |
Correct |
1 ms |
1116 KB |
Output is correct |
3 |
Correct |
1 ms |
1112 KB |
Output is correct |
4 |
Correct |
1 ms |
1112 KB |
Output is correct |
5 |
Correct |
1 ms |
1628 KB |
Output is correct |
6 |
Correct |
2 ms |
1624 KB |
Output is correct |
7 |
Correct |
1 ms |
1372 KB |
Output is correct |
8 |
Correct |
1 ms |
1116 KB |
Output is correct |
9 |
Correct |
2 ms |
1644 KB |
Output is correct |
10 |
Correct |
1 ms |
1116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
1880 KB |
Output is correct |
2 |
Correct |
12 ms |
6236 KB |
Output is correct |
3 |
Correct |
3 ms |
2396 KB |
Output is correct |
4 |
Correct |
13 ms |
6488 KB |
Output is correct |
5 |
Correct |
15 ms |
7516 KB |
Output is correct |
6 |
Correct |
9 ms |
4528 KB |
Output is correct |
7 |
Correct |
6 ms |
3164 KB |
Output is correct |
8 |
Correct |
3 ms |
2396 KB |
Output is correct |
9 |
Correct |
3 ms |
2396 KB |
Output is correct |
10 |
Correct |
10 ms |
5468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
1112 KB |
Output is correct |
2 |
Correct |
1 ms |
1116 KB |
Output is correct |
3 |
Correct |
1 ms |
1112 KB |
Output is correct |
4 |
Correct |
1 ms |
1112 KB |
Output is correct |
5 |
Correct |
1 ms |
1628 KB |
Output is correct |
6 |
Correct |
2 ms |
1624 KB |
Output is correct |
7 |
Correct |
1 ms |
1372 KB |
Output is correct |
8 |
Correct |
1 ms |
1116 KB |
Output is correct |
9 |
Correct |
2 ms |
1644 KB |
Output is correct |
10 |
Correct |
1 ms |
1116 KB |
Output is correct |
11 |
Correct |
2 ms |
1880 KB |
Output is correct |
12 |
Correct |
12 ms |
6236 KB |
Output is correct |
13 |
Correct |
3 ms |
2396 KB |
Output is correct |
14 |
Correct |
13 ms |
6488 KB |
Output is correct |
15 |
Correct |
15 ms |
7516 KB |
Output is correct |
16 |
Correct |
9 ms |
4528 KB |
Output is correct |
17 |
Correct |
6 ms |
3164 KB |
Output is correct |
18 |
Correct |
3 ms |
2396 KB |
Output is correct |
19 |
Correct |
3 ms |
2396 KB |
Output is correct |
20 |
Correct |
10 ms |
5468 KB |
Output is correct |
21 |
Correct |
211 ms |
76116 KB |
Output is correct |
22 |
Runtime error |
1714 ms |
524288 KB |
Execution killed with signal 9 |
23 |
Halted |
0 ms |
0 KB |
- |