oj.uz

Submission #627220

# Submission time Handle Problem Language Result Execution time Memory
627220 2022-08-12T11:33:06 Z JustInCase Catfish Farm (IOI22_fish) C++17
44 / 100
 95 ms 14940 KB 
#include <iostream>
#include <string>
#include <vector>
#include <queue>
#include <stack>
#include <array>
#include <algorithm>
#include <numeric>
#include <map>
#include <unordered_map>
#include <set>
#include <cstring>
#include <cmath>
#include <iomanip>
#include <cassert>
#include <random>
#include <cstdlib>

#define debug(x) std::cout << #x << " " << (x) << '\n';
#define pb push_back
#define mp std::make_pair
#define remax(a, b) a = std::max((a), (b));
#define remin(a, b) a = std::min((a), (b));

#define maxWeights max_weights

int64_t solveSmallN(int32_t n, int32_t m, std::vector<int32_t> x, std::vector<int32_t> y,
			std::vector<int32_t> w) {
	const int32_t MAX_N = 300;

	std::array<std::array<int64_t, MAX_N>, MAX_N> wPrefSums {};
	std::array<std::array<std::array<int64_t, 3>, MAX_N + 1>, MAX_N + 1> dp {};

	auto getWRangeSum = [&wPrefSums](int32_t startRow, int32_t endRow, int32_t column) -> int64_t {
		if(endRow <= startRow) {
			return 0;
		}

		return wPrefSums[endRow - 1][column] - (startRow == 0 ? 0 : wPrefSums[startRow - 1][column]);
	};

	for(int32_t i = 0; i < m; i++) {
		wPrefSums[y[i]][x[i]] = (int64_t) w[i];
	}

	for(int32_t j = 0; j < n; j++) {
		for(int32_t i = 1; i < n; i++) {
			wPrefSums[i][j] += wPrefSums[i - 1][j];
		}
	}

	for(int32_t j = 1; j < n; j++) {
		for(int32_t lastK = 0; lastK <= n; lastK++) {
			for(int32_t k = 0; k <= n; k++) {
				if(k == 0) {
					remax(dp[j + 1][lastK][2], dp[j][lastK][0] + getWRangeSum(0, lastK, j));
					remax(dp[j + 1][lastK][2], dp[j][lastK][1] + getWRangeSum(0, lastK, j));
				}

				if(lastK <= k) {
					remax(dp[j + 1][k][0], dp[j][lastK][0] + getWRangeSum(lastK, k, j - 1));
					remax(dp[j + 1][k][0], dp[j][lastK][2] + getWRangeSum(lastK, k, j - 1));
				}
				if(lastK >= k) {
					remax(dp[j + 1][k][1], dp[j][lastK][1] + getWRangeSum(k, lastK, j));
					remax(dp[j + 1][k][1], dp[j][lastK][0] + getWRangeSum(k, lastK, j));
					remax(dp[j + 1][k][0], dp[j][lastK][2]);
				}
			}
		}
	}
	
	int64_t ans = 0;
	for(int32_t k = 0; k <= n; k++) {
		remax(ans, dp[n][k][0]);
		remax(ans, dp[n][k][1]);
		remax(ans, dp[n][k][2]);
	}

	return ans;
}

int64_t solveEvenXs(int32_t n, int32_t m, std::vector<int32_t> x, std::vector<int32_t> y,
			std::vector<int32_t> w) {
	int64_t ans = 0;
	for(int32_t i = 0; i < m; i++) {
		ans += (int64_t) w[i];
	}
	return ans;
}

int64_t solveAllXs0Or1(int32_t n, int32_t m, std::vector<int32_t> x, std::vector<int32_t> y,
			std::vector<int32_t> w) {
	const int32_t MAX_N = 1e5;

	std::array<std::array<int64_t, 2>, MAX_N> wPrefSums {};

	auto getWRangeSum = [&wPrefSums](int32_t startRow, int32_t endRow, int32_t column) -> int64_t {
		if(endRow <= startRow) {
			return 0;
		}

		return wPrefSums[endRow - 1][column] - (startRow == 0 ? 0 : wPrefSums[startRow - 1][column]);
	};

	for(int32_t i = 0; i < m; i++) {
		wPrefSums[y[i]][x[i]] = (int64_t) w[i];
	}

	for(int32_t j = 0; j < 2; j++) {
		for(int32_t i = 1; i < n; i++) {
			wPrefSums[i][j] += wPrefSums[i - 1][j];
		}
	}

	int64_t ans = 0;
	remax(ans, getWRangeSum(0, n, 1));
	remax(ans, getWRangeSum(0, n, 0));

	if(n > 2) {
		for(int32_t i = 0; i <= n; i++) {
			remax(ans, getWRangeSum(0, i, 0) + getWRangeSum(i, n, 1));
		}
	}

	return ans;
}

int64_t solveAllYs0(int32_t n, int32_t m, std::vector<int32_t> x, std::vector<int32_t> w) {
	const int32_t MAX_N = 1e5;

	std::array<int32_t, MAX_N> wByColumn {};
	for(int32_t i = 0; i < m; i++) {
		wByColumn[x[i]] = w[i];
	}
	
	if(n == 2) {
		return std::max(wByColumn[0], wByColumn[1]);
	}

	std::array<std::array<std::array<int64_t, 2>, 2>, MAX_N> dp {};
	dp[2][0][0] = 0;
	dp[2][0][1] = wByColumn[0] + wByColumn[2];
	dp[2][1][0] = wByColumn[1];
	dp[2][1][1] = wByColumn[2];
	for(int32_t j = 3; j < n; j++) {
		dp[j][0][0] = std::max(dp[j - 1][0][0], dp[j - 1][1][0]);	
		dp[j][0][1] = std::max(dp[j - 1][0][0], dp[j - 1][1][0]) + wByColumn[j];
		dp[j][1][0] = std::max(dp[j - 1][0][1], dp[j - 1][1][1]);
		dp[j][1][1] = std::max(dp[j - 1][0][1], dp[j - 1][1][1]) + wByColumn[j];
	}

	int64_t ans = 0;
	for(int32_t i = 0; i < 2; i++) {
		for(int32_t j = 0; j < 2; j++) {
			remax(ans, dp[n - 1][i][j]);
		}
	}
	
	return ans;
}

int64_t maxWeights(int32_t n, int32_t m, std::vector<int32_t> x, std::vector<int32_t> y,
                      std::vector<int32_t> w) {
	if(n <= 300) {
		return solveSmallN(n, m, x, y, w);
	}
	else if(std::all_of(x.begin(), x.end(), [](int32_t v) { return !(v & 1); })) {
		return solveEvenXs(n, m, x, y, w);
	}
	else if(std::all_of(x.begin(), x.end(), [](int32_t v) { return (v < 2); })) {
		return solveAllXs0Or1(n, m, x, y, w);
	}
	else {
		return solveAllYs0(n, m, x, w);
	}

	return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 4428 KB Output is correct
2 Correct 28 ms 5452 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 89 ms 14940 KB Output is correct
6 Correct 88 ms 14744 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3028 KB Output is correct
2 Correct 55 ms 10348 KB Output is correct
3 Correct 60 ms 12392 KB Output is correct
4 Correct 22 ms 4440 KB Output is correct
5 Correct 27 ms 5548 KB Output is correct
6 Correct 2 ms 3028 KB Output is correct
7 Correct 2 ms 3112 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 2 ms 3028 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 26 ms 6116 KB Output is correct
13 Correct 30 ms 7096 KB Output is correct
14 Correct 27 ms 6112 KB Output is correct
15 Correct 29 ms 6600 KB Output is correct
16 Correct 24 ms 6092 KB Output is correct
17 Correct 35 ms 6588 KB Output is correct

Subtask #3
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 2 ms 3752 KB Output is correct
3 Incorrect 19 ms 6428 KB 1st lines differ - on the 1st token, expected: '21261825233649', found: '26722340820661'
4 Halted 0 ms 0 KB -

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 2 ms 3028 KB Output is correct
3 Correct 3 ms 3088 KB Output is correct
4 Correct 2 ms 3028 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct
6 Correct 2 ms 3028 KB Output is correct
7 Correct 2 ms 3028 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 11 ms 3124 KB Output is correct
10 Correct 72 ms 3232 KB Output is correct
11 Correct 10 ms 3156 KB Output is correct
12 Correct 68 ms 3168 KB Output is correct
13 Correct 3 ms 3028 KB Output is correct
14 Correct 69 ms 3160 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 2 ms 3028 KB Output is correct
3 Correct 3 ms 3088 KB Output is correct
4 Correct 2 ms 3028 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct
6 Correct 2 ms 3028 KB Output is correct
7 Correct 2 ms 3028 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 11 ms 3124 KB Output is correct
10 Correct 72 ms 3232 KB Output is correct
11 Correct 10 ms 3156 KB Output is correct
12 Correct 68 ms 3168 KB Output is correct
13 Correct 3 ms 3028 KB Output is correct
14 Correct 69 ms 3160 KB Output is correct
15 Correct 66 ms 3116 KB Output is correct
16 Correct 3 ms 3156 KB Output is correct
17 Correct 77 ms 5440 KB Output is correct
18 Correct 82 ms 5460 KB Output is correct
19 Correct 79 ms 5460 KB Output is correct
20 Correct 78 ms 5460 KB Output is correct
21 Correct 78 ms 5440 KB Output is correct
22 Correct 95 ms 7720 KB Output is correct
23 Correct 70 ms 3540 KB Output is correct
24 Correct 78 ms 4668 KB Output is correct
25 Correct 69 ms 3176 KB Output is correct
26 Correct 68 ms 3540 KB Output is correct

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 2 ms 3028 KB Output is correct
3 Correct 3 ms 3088 KB Output is correct
4 Correct 2 ms 3028 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct
6 Correct 2 ms 3028 KB Output is correct
7 Correct 2 ms 3028 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 11 ms 3124 KB Output is correct
10 Correct 72 ms 3232 KB Output is correct
11 Correct 10 ms 3156 KB Output is correct
12 Correct 68 ms 3168 KB Output is correct
13 Correct 3 ms 3028 KB Output is correct
14 Correct 69 ms 3160 KB Output is correct
15 Correct 66 ms 3116 KB Output is correct
16 Correct 3 ms 3156 KB Output is correct
17 Correct 77 ms 5440 KB Output is correct
18 Correct 82 ms 5460 KB Output is correct
19 Correct 79 ms 5460 KB Output is correct
20 Correct 78 ms 5460 KB Output is correct
21 Correct 78 ms 5440 KB Output is correct
22 Correct 95 ms 7720 KB Output is correct
23 Correct 70 ms 3540 KB Output is correct
24 Correct 78 ms 4668 KB Output is correct
25 Correct 69 ms 3176 KB Output is correct
26 Correct 68 ms 3540 KB Output is correct
27 Incorrect 3 ms 3924 KB 1st lines differ - on the 1st token, expected: '2999', found: '2998'
28 Halted 0 ms 0 KB -

Subtask #7
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 2 ms 3752 KB Output is correct
3 Incorrect 19 ms 6428 KB 1st lines differ - on the 1st token, expected: '21261825233649', found: '26722340820661'
4 Halted 0 ms 0 KB -

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 4428 KB Output is correct
2 Correct 28 ms 5452 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 89 ms 14940 KB Output is correct
6 Correct 88 ms 14744 KB Output is correct
7 Correct 1 ms 3028 KB Output is correct
8 Correct 55 ms 10348 KB Output is correct
9 Correct 60 ms 12392 KB Output is correct
10 Correct 22 ms 4440 KB Output is correct
11 Correct 27 ms 5548 KB Output is correct
12 Correct 2 ms 3028 KB Output is correct
13 Correct 2 ms 3112 KB Output is correct
14 Correct 2 ms 3028 KB Output is correct
15 Correct 2 ms 3028 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 26 ms 6116 KB Output is correct
19 Correct 30 ms 7096 KB Output is correct
20 Correct 27 ms 6112 KB Output is correct
21 Correct 29 ms 6600 KB Output is correct
22 Correct 24 ms 6092 KB Output is correct
23 Correct 35 ms 6588 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 2 ms 3752 KB Output is correct
26 Incorrect 19 ms 6428 KB 1st lines differ - on the 1st token, expected: '21261825233649', found: '26722340820661'
27 Halted 0 ms 0 KB -