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Submission #863056

# Submission time Handle Problem Language Result Execution time Memory
863056 2023-10-19T14:18:48 Z TAhmed33 Magneti (COCI21_magneti) C++
60 / 110
 116 ms 253780 KB 
#include <bits/stdc++.h>
using namespace std;
int n, l, x;
const int MOD = 1e9 + 7;
int nCr[30500][500];
int dp[50][100001][51];
int add (int a, int b) {
	a += b; if (a >= MOD) a -= MOD;
	return a;
}
int sub (int a, int b) {
	a -= b; if (a < 0) a += MOD;
	return a;
}
int mul (int a, int b) {
	return (a * 1ll * b) % MOD;
}
int arr[51];
int main () {
	cin >> n >> l;
	for (int i = 0; i < 30500; i++) {
		for (int j = 0; j <= min(499, i); j++) {
			if (j == 0 || j == i) {
				nCr[i][j] = 1;
			} else {
				nCr[i][j] = add(nCr[i - 1][j], nCr[i - 1][j - 1]);
			}
		}
	}
	for (int i = 1; i <= n; i++) cin >> arr[i];
	sort(arr + 1, arr + n + 1);
	dp[0][0][0] = 1;
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= l; j++) {
			for (int k = 1; k <= i; k++) {
				dp[i][j][k] = 0;
				if (2 * arr[i] - 1 <= j) dp[i][j][k] = add(dp[i][j][k], mul(mul(k + 1, k), dp[i - 1][j - 2 * arr[i] + 1][k + 1]));
				dp[i][j][k] = add(dp[i][j][k], dp[i - 1][j - 1][k - 1]);
				if (arr[i] <= j) dp[i][j][k] = add(dp[i][j][k], mul(2 * k, dp[i - 1][j - arr[i]][k]));
				//cout << i << " " << j << " " << k << ": " << dp[i][j][k] << '\n';
			}
		}
	}
	//for (int i = 1; i <= l; i++) cout << dp[n][i][1] << '\n';
	int sum = 0;
	for (int i = 1; i <= l; i++) sum = add(sum, mul(dp[n][i][1], nCr[n - i + l][n]));
	cout << sum << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 253708 KB Output is correct
2 Correct 32 ms 161248 KB Output is correct
3 Correct 33 ms 99712 KB Output is correct
4 Correct 24 ms 76880 KB Output is correct
5 Correct 30 ms 114012 KB Output is correct
6 Correct 50 ms 165200 KB Output is correct
7 Correct 49 ms 204112 KB Output is correct
8 Correct 24 ms 63068 KB Output is correct
9 Correct 36 ms 161120 KB Output is correct
10 Correct 22 ms 62808 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 99624 KB Output is correct
2 Correct 23 ms 68908 KB Output is correct
3 Correct 28 ms 99660 KB Output is correct
4 Correct 25 ms 75100 KB Output is correct
5 Correct 28 ms 99624 KB Output is correct
6 Correct 24 ms 77136 KB Output is correct
7 Correct 29 ms 99664 KB Output is correct
8 Correct 24 ms 81232 KB Output is correct
9 Correct 24 ms 77148 KB Output is correct
10 Correct 23 ms 64848 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 122196 KB Output is correct
2 Correct 26 ms 101720 KB Output is correct
3 Correct 28 ms 122196 KB Output is correct
4 Correct 28 ms 103772 KB Output is correct
5 Correct 31 ms 122364 KB Output is correct
6 Correct 26 ms 99676 KB Output is correct
7 Correct 29 ms 122192 KB Output is correct
8 Correct 28 ms 81044 KB Output is correct
9 Correct 26 ms 103780 KB Output is correct
10 Correct 24 ms 81140 KB Output is correct

Subtask #4
0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 253708 KB Output is correct
2 Correct 32 ms 161248 KB Output is correct
3 Correct 33 ms 99712 KB Output is correct
4 Correct 24 ms 76880 KB Output is correct
5 Correct 30 ms 114012 KB Output is correct
6 Correct 50 ms 165200 KB Output is correct
7 Correct 49 ms 204112 KB Output is correct
8 Correct 24 ms 63068 KB Output is correct
9 Correct 36 ms 161120 KB Output is correct
10 Correct 22 ms 62808 KB Output is correct
11 Correct 29 ms 99624 KB Output is correct
12 Correct 23 ms 68908 KB Output is correct
13 Correct 28 ms 99660 KB Output is correct
14 Correct 25 ms 75100 KB Output is correct
15 Correct 28 ms 99624 KB Output is correct
16 Correct 24 ms 77136 KB Output is correct
17 Correct 29 ms 99664 KB Output is correct
18 Correct 24 ms 81232 KB Output is correct
19 Correct 24 ms 77148 KB Output is correct
20 Correct 23 ms 64848 KB Output is correct
21 Correct 29 ms 122196 KB Output is correct
22 Correct 26 ms 101720 KB Output is correct
23 Correct 28 ms 122196 KB Output is correct
24 Correct 28 ms 103772 KB Output is correct
25 Correct 31 ms 122364 KB Output is correct
26 Correct 26 ms 99676 KB Output is correct
27 Correct 29 ms 122192 KB Output is correct
28 Correct 28 ms 81044 KB Output is correct
29 Correct 26 ms 103780 KB Output is correct
30 Correct 24 ms 81140 KB Output is correct
31 Correct 105 ms 253780 KB Output is correct
32 Correct 78 ms 216664 KB Output is correct
33 Correct 116 ms 253372 KB Output is correct
34 Correct 51 ms 153032 KB Output is correct
35 Correct 99 ms 253524 KB Output is correct
36 Correct 30 ms 107860 KB Output is correct
37 Correct 107 ms 253616 KB Output is correct
38 Correct 41 ms 169340 KB Output is correct
39 Incorrect 98 ms 253520 KB Output isn't correct
40 Halted 0 ms 0 KB -