Submission #749306

# Submission time Handle Problem Language Result Execution time Memory
749306 2023-05-27T17:57:10 Z happypotato Catfish Farm (IOI22_fish) C++17
52 / 100
760 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 755 ms 2097152 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Runtime error 760 ms 2097152 KB Execution killed with signal 9
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 743 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 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 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 3028 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 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 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 3028 KB Output is correct
15 Correct 4 ms 3028 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 17 ms 4240 KB Output is correct
18 Correct 15 ms 4196 KB Output is correct
19 Correct 18 ms 4180 KB Output is correct
20 Correct 15 ms 4216 KB Output is correct
21 Correct 17 ms 4168 KB Output is correct
22 Correct 30 ms 5224 KB Output is correct
23 Correct 7 ms 3284 KB Output is correct
24 Correct 12 ms 3796 KB Output is correct
25 Correct 4 ms 3156 KB Output is correct
26 Correct 6 ms 3260 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 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 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 3028 KB Output is correct
15 Correct 4 ms 3028 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 17 ms 4240 KB Output is correct
18 Correct 15 ms 4196 KB Output is correct
19 Correct 18 ms 4180 KB Output is correct
20 Correct 15 ms 4216 KB Output is correct
21 Correct 17 ms 4168 KB Output is correct
22 Correct 30 ms 5224 KB Output is correct
23 Correct 7 ms 3284 KB Output is correct
24 Correct 12 ms 3796 KB Output is correct
25 Correct 4 ms 3156 KB Output is correct
26 Correct 6 ms 3260 KB Output is correct
27 Correct 325 ms 282488 KB Output is correct
28 Correct 87 ms 22984 KB Output is correct
29 Correct 401 ms 289316 KB Output is correct
30 Correct 440 ms 289352 KB Output is correct
31 Correct 444 ms 294864 KB Output is correct
32 Correct 98 ms 21848 KB Output is correct
33 Correct 446 ms 295052 KB Output is correct
34 Correct 436 ms 295008 KB Output is correct
35 Correct 346 ms 286924 KB Output is correct
36 Correct 424 ms 294864 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 743 ms 2097152 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 755 ms 2097152 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -