Submission #749307

# Submission time Handle Problem Language Result Execution time Memory
749307 2023-05-27T17:59:49 Z happypotato Catfish Farm (IOI22_fish) C++17
52 / 100
784 ms 2097152 KB
#include "fish.h"
 
#include <bits/stdc++.h>
using namespace std;
#define int long long
 
long long max_weights(int32_t n, int32_t m, vector<int32_t> X, vector<int32_t> Y,
					vector<int32_t> W) {
	
	int a[n + 1][n + 1];
	for (int i = 0; i <= n; i++) {
		for (int j = 0; j <= n; j++) {
			a[i][j] = 0;
		}
	}
	for (int i = 0; i < m; i++) {
		X[i]++; Y[i]++;
		a[X[i]][Y[i]] = W[i];
	}
	// for (int i = 1; i <= n; i++) {
	// 	for (int j = 1; j <= n; j++) {
	// 		cerr << a[i][j] << ' ';
	// 	}
	// 	cerr << endl;
	// }
	// cerr << endl;
	int ps[n + 1][n + 1]; // ps[i][j] = a[i][1] + ... + a[i][j]
	for (int i = 1; i <= n; i++) {
		ps[i][0] = 0;
		for (int j = 1; j <= n; j++) {
			ps[i][j] = ps[i][j - 1] + a[i][j];
		}
	}
	
	int dp[2][n + 1][n + 1];
	// dp[increasing][pos][height] = max ans from 1 to pos with pos getting height, height must be increasing
	for (int i = 0; i <= n; i++) {
		dp[0][0][i] = dp[1][0][i] = (i == 0 ? 0 : -1e18);
		dp[0][1][i] = dp[1][1][i] = 0;
	}
	int cur[n + 1];
	function<void(void)> resetcur = [&]() {
		for (int i = 0; i <= n; i++) cur[i] = 0;
	};
 
	for (int i = 2; i <= n; i++) {
		for (int j = 0; j <= n; j++) {
			dp[0][i][j] = dp[1][i][j] = 0;
		}
		// Case 0: height of i is 0
		resetcur();
		dp[0][i][0] = max(dp[0][i - 1][0], dp[1][i - 1][0]);
		for (int j = 1; j <= n; j++) {
			dp[0][i][0] = max(dp[0][i][0], max(dp[0][i - 1][j], dp[1][i - 1][j]) + ps[i][j]);
		}
		dp[1][i][0] = dp[0][i][0];
 
		// Case 1: height of i-1 is 0
		// Case 1.1: height of i-2 <= height of i
		resetcur();
		cur[0] = dp[0][i - 2][0];
		for (int j = 1; j <= n; j++) {
			cur[j] = max(cur[j - 1], max(dp[0][i - 2][j], dp[1][i - 2][j]));
		}
		for (int j = 0; j <= n; j++) {
			dp[0][i][j] = max(dp[0][i][j], cur[j] + ps[i - 1][j]);
			dp[1][i][j] = max(dp[1][i][j], cur[j] + ps[i - 1][j]);
		}
		// Case 1.2: height of i-2 >= height of i
		resetcur();
		cur[n] = dp[0][i - 2][n] + ps[i - 1][n];
		for (int j = n - 1; j >= 0; j--) {
			cur[j] = max(cur[j + 1], max(dp[0][i - 2][j], dp[1][i - 2][j]) + ps[i - 1][j]);
		}
		for (int j = 0; j <= n; j++) {
			dp[0][i][j] = max(dp[0][i][j], cur[j]);
			dp[1][i][j] = max(dp[1][i][j], cur[j]);
		}
 
		// now height of i-1 > 0
		// Case 2: height of i-1 <= height of i
		resetcur();
		cur[1] = dp[0][i - 1][1];
		for (int j = 2; j <= n; j++) {
			cur[j] = max(cur[j - 1] + a[i - 1][j], dp[0][i - 1][j]);
		}
		for (int j = 1; j <= n; j++) {
			dp[0][i][j] = max(dp[0][i][j], cur[j]);
		}
 
		// Case 3: height of i-1 >= height of i
		resetcur();
		cur[n] = max(dp[0][i - 1][n], dp[1][i - 1][n]);
		for (int j = n - 1; j >= 1; j--) {
			cur[j] = max(cur[j + 1] + a[i][j + 1], max(dp[0][i - 1][j], dp[1][i - 1][j]));
		}
		for (int j = 1; j <= n; j++) {
			dp[1][i][j] = max(dp[1][i][j], cur[j]);
		}
	}
 
	int ans = 0;
	for (int i = 0; i <= n; i++) {
		// cerr << dp[0][n][i] << ' ' << dp[1][n][i] << endl;
		ans = max(ans, max(dp[0][n][i], dp[1][n][i]));
	}
	return ans;
}
 
#undef int
# Verdict Execution time Memory Grader output
1 Runtime error 735 ms 2097152 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Runtime error 763 ms 2097152 KB Execution killed with signal 9
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 784 ms 2097152 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 4 ms 3156 KB Output is correct
11 Correct 1 ms 980 KB Output is correct
12 Correct 4 ms 3156 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 4 ms 3156 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 4 ms 3156 KB Output is correct
11 Correct 1 ms 980 KB Output is correct
12 Correct 4 ms 3156 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 4 ms 3156 KB Output is correct
15 Correct 4 ms 3028 KB Output is correct
16 Correct 1 ms 528 KB Output is correct
17 Correct 22 ms 4180 KB Output is correct
18 Correct 21 ms 4164 KB Output is correct
19 Correct 15 ms 4180 KB Output is correct
20 Correct 17 ms 4180 KB Output is correct
21 Correct 16 ms 4180 KB Output is correct
22 Correct 28 ms 5256 KB Output is correct
23 Correct 6 ms 3284 KB Output is correct
24 Correct 11 ms 3796 KB Output is correct
25 Correct 4 ms 3156 KB Output is correct
26 Correct 6 ms 3284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 4 ms 3156 KB Output is correct
11 Correct 1 ms 980 KB Output is correct
12 Correct 4 ms 3156 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 4 ms 3156 KB Output is correct
15 Correct 4 ms 3028 KB Output is correct
16 Correct 1 ms 528 KB Output is correct
17 Correct 22 ms 4180 KB Output is correct
18 Correct 21 ms 4164 KB Output is correct
19 Correct 15 ms 4180 KB Output is correct
20 Correct 17 ms 4180 KB Output is correct
21 Correct 16 ms 4180 KB Output is correct
22 Correct 28 ms 5256 KB Output is correct
23 Correct 6 ms 3284 KB Output is correct
24 Correct 11 ms 3796 KB Output is correct
25 Correct 4 ms 3156 KB Output is correct
26 Correct 6 ms 3284 KB Output is correct
27 Correct 326 ms 282356 KB Output is correct
28 Correct 80 ms 22952 KB Output is correct
29 Correct 405 ms 289248 KB Output is correct
30 Correct 429 ms 289400 KB Output is correct
31 Correct 413 ms 289356 KB Output is correct
32 Correct 93 ms 16740 KB Output is correct
33 Correct 420 ms 289396 KB Output is correct
34 Correct 463 ms 289452 KB Output is correct
35 Correct 370 ms 284928 KB Output is correct
36 Correct 428 ms 289344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 784 ms 2097152 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 735 ms 2097152 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -