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Submission #868918

# Submission time Handle Problem Language Result Execution time Memory
868918 2023-11-02T12:30:13 Z Cyber_Wolf Magneti (COCI21_magneti) C++17
60 / 110
 244 ms 200016 KB 
#include <bits/stdc++.h>

using namespace std;

#define lg long long 

const lg N = 2e5+5, MOD = 1e9+7;

lg v[N], fact[N];

lg fast_power(lg n, lg k)
{
	lg ans = 1;
	while(k)
	{
		if((k&1))
		{
			ans = (ans*n)%MOD;
		}
		n = (n*n)%MOD;
		k >>= 1;
	}
	return ans;
}

lg C(lg n, lg r)
{
	lg ans = fact[n];
	ans = (ans*fast_power(fact[r], MOD-2))%MOD;
	ans = (ans*fast_power(fact[n-r], MOD-2))%MOD;
	return ans;
}

lg dp[51][51][int(1e4+5)], fr[int(1e4+5)];

int main()
{
	lg n, l;
	cin >> n >> l;
	fact[0] = 1;
	for(lg i = 1; i <= 1e5; i++)	fact[i] = (fact[i-1]*i)%MOD;
	for(int i = 1; i <= n; i++)	cin >> v[i];
	sort(v+1, v+n+1);
	dp[1][1][1] = 1;
	for(int i = 1; i < n; i++)
	{
		for(int j = 1; j <= n; j++)
		{
			for(int k = 0; k <= l; k++)
			{
				dp[i+1][j][k+v[i+1]] = (dp[i+1][j][k+v[i+1]]+(dp[i][j][k]*j*2ll)%MOD)%MOD;
				if(j)	
				{
					dp[i+1][j-1][k+v[i+1]*2] = (dp[i+1][j-1][k+v[i+1]*2]+(dp[i][j][k]*(j*(j-1))%MOD)%MOD)%MOD;
				}
				dp[i+1][j+1][k] = (dp[i+1][j+1][k]+dp[i][j][k])%MOD; 
			}
		}
	}
	for(int i = 0; i <= l; i++)	fr[i] = dp[n][1][i];
	lg ans = 0;
	for(lg i = 0; i <= l; i++)
	{
		lg cur = fr[i];
		// cout << cur << ' ' << l-i+n << ' ' << n << '\n';
		cur = (cur*C(l-i+n, n))%MOD;
		ans = (ans+cur)%MOD;
	}
	cout << ans << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 236 ms 199664 KB Output is correct
2 Correct 7 ms 15960 KB Output is correct
3 Correct 13 ms 13648 KB Output is correct
4 Correct 5 ms 5980 KB Output is correct
5 Correct 15 ms 17284 KB Output is correct
6 Correct 71 ms 66388 KB Output is correct
7 Correct 145 ms 183892 KB Output is correct
8 Correct 2 ms 4444 KB Output is correct
9 Correct 74 ms 104588 KB Output is correct
10 Correct 2 ms 4444 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12888 KB Output is correct
2 Correct 3 ms 4952 KB Output is correct
3 Correct 13 ms 12888 KB Output is correct
4 Correct 4 ms 5720 KB Output is correct
5 Correct 13 ms 12888 KB Output is correct
6 Correct 4 ms 6492 KB Output is correct
7 Correct 13 ms 12888 KB Output is correct
8 Correct 3 ms 5720 KB Output is correct
9 Correct 4 ms 6236 KB Output is correct
10 Correct 3 ms 4444 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 10584 KB Output is correct
2 Correct 3 ms 7004 KB Output is correct
3 Correct 6 ms 10588 KB Output is correct
4 Correct 4 ms 7516 KB Output is correct
5 Correct 6 ms 10588 KB Output is correct
6 Correct 2 ms 6236 KB Output is correct
7 Correct 6 ms 10556 KB Output is correct
8 Correct 2 ms 5212 KB Output is correct
9 Correct 4 ms 8028 KB Output is correct
10 Correct 2 ms 5212 KB Output is correct

Subtask #4
0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 236 ms 199664 KB Output is correct
2 Correct 7 ms 15960 KB Output is correct
3 Correct 13 ms 13648 KB Output is correct
4 Correct 5 ms 5980 KB Output is correct
5 Correct 15 ms 17284 KB Output is correct
6 Correct 71 ms 66388 KB Output is correct
7 Correct 145 ms 183892 KB Output is correct
8 Correct 2 ms 4444 KB Output is correct
9 Correct 74 ms 104588 KB Output is correct
10 Correct 2 ms 4444 KB Output is correct
11 Correct 13 ms 12888 KB Output is correct
12 Correct 3 ms 4952 KB Output is correct
13 Correct 13 ms 12888 KB Output is correct
14 Correct 4 ms 5720 KB Output is correct
15 Correct 13 ms 12888 KB Output is correct
16 Correct 4 ms 6492 KB Output is correct
17 Correct 13 ms 12888 KB Output is correct
18 Correct 3 ms 5720 KB Output is correct
19 Correct 4 ms 6236 KB Output is correct
20 Correct 3 ms 4444 KB Output is correct
21 Correct 6 ms 10584 KB Output is correct
22 Correct 3 ms 7004 KB Output is correct
23 Correct 6 ms 10588 KB Output is correct
24 Correct 4 ms 7516 KB Output is correct
25 Correct 6 ms 10588 KB Output is correct
26 Correct 2 ms 6236 KB Output is correct
27 Correct 6 ms 10556 KB Output is correct
28 Correct 2 ms 5212 KB Output is correct
29 Correct 4 ms 8028 KB Output is correct
30 Correct 2 ms 5212 KB Output is correct
31 Correct 243 ms 199628 KB Output is correct
32 Correct 148 ms 137040 KB Output is correct
33 Correct 234 ms 199760 KB Output is correct
34 Correct 50 ms 49488 KB Output is correct
35 Correct 244 ms 200016 KB Output is correct
36 Correct 16 ms 17752 KB Output is correct
37 Correct 239 ms 199760 KB Output is correct
38 Correct 42 ms 46412 KB Output is correct
39 Incorrect 240 ms 199768 KB Output isn't correct
40 Halted 0 ms 0 KB -