oj.uz

Submission #947707

# Submission time Handle Problem Language Result Execution time Memory
947707 2024-03-16T22:35:29 Z chroot_ Skyscraper (JOI16_skyscraper) C++14
100 / 100
 71 ms 50892 KB 
#include <bits/stdc++.h>
typedef long long ll;
using namespace std;

const ll MOD = 1e9 + 7;

int a[102];
ll dp[102][102][1002][3];

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	int n, l;
	cin >> n >> l;
	if (n == 1) return cout << 1, 0;
	for (int i = 1; i <= n; i++) cin >> a[i];
	sort(a + 1, a + n + 1);
	a[n + 1] = 10000;
	dp[0][0][0][0] = 1;
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= i; j++) {
			for (int k = 0; k <= l; k++) {
				for (int m = 0; m <= 2; m++) {
					int cost_diff = (2 * j - m) * (a[i + 1] - a[i]);
					if (cost_diff > k || i + j + 1 - m > n) continue;

					// Case 1
					dp[i][j][k][m] += dp[i - 1][j - 1][k - cost_diff][m];
					// Case 2
					if (m)
						dp[i][j][k][m] +=
						    (3 - m) * dp[i - 1][j - 1][k - cost_diff][m - 1];
					// Case 3
					dp[i][j][k][m] +=
					    (2 * j - m) * dp[i - 1][j][k - cost_diff][m];
					// Case 4
					if (m == 1)
						dp[i][j][k][m] +=
						    2 * j * dp[i - 1][j][k - cost_diff][m - 1];
					if (m == 2) {
						if (i == n)
							dp[i][j][k][m] +=
							    dp[i - 1][j][k - cost_diff][m - 1];
						else if (j > 1)
							dp[i][j][k][m] +=
							    (j - 1) * dp[i - 1][j][k - cost_diff][m - 1];
					}
					// Case 5
					if (m == 2) {
						if (i == n)
							dp[i][j][k][m] +=
							    dp[i - 1][j + 1][k - cost_diff][m];
						else
							dp[i][j][k][m] +=
							    j * (j - 1) *
							    dp[i - 1][j + 1][k - cost_diff][m];
					} else if (m == 1)
						dp[i][j][k][m] +=
						    j * j * dp[i - 1][j + 1][k - cost_diff][m];
					else
						dp[i][j][k][m] +=
						    j * (j + 1) * dp[i - 1][j + 1][k - cost_diff][m];

					dp[i][j][k][m] %= MOD;
				}
			}
		}
	}

	ll ans = 0;
	for (int i = 0; i <= l; i++) ans += dp[n][1][i][2];
	cout << ans % MOD;
	return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory 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 348 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 1 ms 716 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 716 KB Output is correct
10 Correct 0 ms 464 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 724 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 740 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory 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 348 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 1 ms 716 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 716 KB Output is correct
10 Correct 0 ms 464 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 724 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 1 ms 600 KB Output is correct
20 Correct 1 ms 740 KB Output is correct
21 Correct 2 ms 2396 KB Output is correct
22 Correct 44 ms 35924 KB Output is correct
23 Correct 64 ms 47644 KB Output is correct
24 Correct 56 ms 46804 KB Output is correct
25 Correct 71 ms 50632 KB Output is correct
26 Correct 57 ms 46264 KB Output is correct
27 Correct 23 ms 23644 KB Output is correct
28 Correct 28 ms 26964 KB Output is correct
29 Correct 49 ms 41308 KB Output is correct
30 Correct 68 ms 50892 KB Output is correct