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Submission #863058

# Submission time Handle Problem Language Result Execution time Memory
863058 2023-10-19T14:19:14 Z TAhmed33 Magneti (COCI21_magneti) C++
110 / 110
 113 ms 257108 KB 
#include <bits/stdc++.h>
using namespace std;
int n, l, x;
const int MOD = 1e9 + 7;
int nCr[30500][500];
int dp[51][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 112 ms 257104 KB Output is correct
2 Correct 31 ms 162632 KB Output is correct
3 Correct 39 ms 99044 KB Output is correct
4 Correct 34 ms 76380 KB Output is correct
5 Correct 43 ms 113476 KB Output is correct
6 Correct 49 ms 164624 KB Output is correct
7 Correct 54 ms 203788 KB Output is correct
8 Correct 24 ms 62036 KB Output is correct
9 Correct 38 ms 160500 KB Output is correct
10 Correct 22 ms 62176 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 99164 KB Output is correct
2 Correct 23 ms 68316 KB Output is correct
3 Correct 28 ms 98908 KB Output is correct
4 Correct 25 ms 74508 KB Output is correct
5 Correct 28 ms 98908 KB Output is correct
6 Correct 24 ms 76556 KB Output is correct
7 Correct 28 ms 98900 KB Output is correct
8 Correct 26 ms 80468 KB Output is correct
9 Correct 24 ms 76380 KB Output is correct
10 Correct 23 ms 64092 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 121712 KB Output is correct
2 Correct 27 ms 101188 KB Output is correct
3 Correct 30 ms 121592 KB Output is correct
4 Correct 26 ms 103200 KB Output is correct
5 Correct 28 ms 121684 KB Output is correct
6 Correct 26 ms 98896 KB Output is correct
7 Correct 30 ms 121684 KB Output is correct
8 Correct 25 ms 80640 KB Output is correct
9 Correct 27 ms 103160 KB Output is correct
10 Correct 25 ms 80580 KB Output is correct

Subtask #4
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 257104 KB Output is correct
2 Correct 31 ms 162632 KB Output is correct
3 Correct 39 ms 99044 KB Output is correct
4 Correct 34 ms 76380 KB Output is correct
5 Correct 43 ms 113476 KB Output is correct
6 Correct 49 ms 164624 KB Output is correct
7 Correct 54 ms 203788 KB Output is correct
8 Correct 24 ms 62036 KB Output is correct
9 Correct 38 ms 160500 KB Output is correct
10 Correct 22 ms 62176 KB Output is correct
11 Correct 35 ms 99164 KB Output is correct
12 Correct 23 ms 68316 KB Output is correct
13 Correct 28 ms 98908 KB Output is correct
14 Correct 25 ms 74508 KB Output is correct
15 Correct 28 ms 98908 KB Output is correct
16 Correct 24 ms 76556 KB Output is correct
17 Correct 28 ms 98900 KB Output is correct
18 Correct 26 ms 80468 KB Output is correct
19 Correct 24 ms 76380 KB Output is correct
20 Correct 23 ms 64092 KB Output is correct
21 Correct 29 ms 121712 KB Output is correct
22 Correct 27 ms 101188 KB Output is correct
23 Correct 30 ms 121592 KB Output is correct
24 Correct 26 ms 103200 KB Output is correct
25 Correct 28 ms 121684 KB Output is correct
26 Correct 26 ms 98896 KB Output is correct
27 Correct 30 ms 121684 KB Output is correct
28 Correct 25 ms 80640 KB Output is correct
29 Correct 27 ms 103160 KB Output is correct
30 Correct 25 ms 80580 KB Output is correct
31 Correct 113 ms 257108 KB Output is correct
32 Correct 73 ms 216036 KB Output is correct
33 Correct 106 ms 257052 KB Output is correct
34 Correct 42 ms 152404 KB Output is correct
35 Correct 104 ms 256996 KB Output is correct
36 Correct 31 ms 107356 KB Output is correct
37 Correct 113 ms 257108 KB Output is correct
38 Correct 46 ms 168788 KB Output is correct
39 Correct 97 ms 257096 KB Output is correct
40 Correct 49 ms 166732 KB Output is correct
41 Correct 103 ms 257040 KB Output is correct
42 Correct 24 ms 78428 KB Output is correct
43 Correct 99 ms 256912 KB Output is correct
44 Correct 44 ms 123732 KB Output is correct
45 Correct 99 ms 257092 KB Output is correct
46 Correct 28 ms 68324 KB Output is correct
47 Correct 40 ms 170836 KB Output is correct
48 Correct 34 ms 152400 KB Output is correct
49 Correct 25 ms 84564 KB Output is correct
50 Correct 24 ms 82524 KB Output is correct