oj.uz

Submission #749286

# Submission time Handle Problem Language Result Execution time Memory
749286 2023-05-27T17:05:35 Z happypotato Catfish Farm (IOI22_fish) C++17
0 / 100
 1000 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] = 0;
		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[1] = dp[0][i - 2][1];
		for (int j = 2; j <= n; j++) {
			cur[j] = max(cur[j - 1], max(dp[0][i - 2][j], dp[1][i - 2][j]));
		}
		for (int j = 1; 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 >= 1; 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 = 1; 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] = dp[1][i - 1][n];
		for (int j = n - 1; j >= 1; j--) {
			cur[j] = max(cur[j + 1] + a[i][j + 1], 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

Subtask #1
0 / 3.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1168 ms 1833428 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #2
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Execution timed out 1008 ms 2097152 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #3
0 / 9.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1054 ms 2097152 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 300 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Incorrect 1 ms 980 KB 1st lines differ - on the 1st token, expected: '216624184325', found: '194672478022'
10 Halted 0 ms 0 KB -

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 300 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Incorrect 1 ms 980 KB 1st lines differ - on the 1st token, expected: '216624184325', found: '194672478022'
10 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 300 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Incorrect 1 ms 980 KB 1st lines differ - on the 1st token, expected: '216624184325', found: '194672478022'
10 Halted 0 ms 0 KB -

Subtask #7
0 / 14.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1054 ms 2097152 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1168 ms 1833428 KB Time limit exceeded
2 Halted 0 ms 0 KB -