oj.uz

Submission #1066050

# Submission time Handle Problem Language Result Execution time Memory
1066050 2024-08-19T14:23:02 Z j_vdd16 Catfish Farm (IOI22_fish) C++17
40 / 100
 1000 ms 127296 KB 
#include "fish.h"

#include <algorithm>
#include <bitset>
#include <cstdint>
#include <cstring>
#include <iostream>
#include <limits.h>
#include <math.h>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <vector>

#define int long long
#define loop(X, N) for(int X = 0; X < (N); X++)
#define all(V) V.begin(), V.end()
#define rall(V) V.rbegin(), V.rend()

using namespace std;

typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> ii;
typedef vector<ii> vii;
typedef vector<vector<ii>> vvii;
typedef vector<bool> vb;
typedef vector<vector<bool>> vvb;

vvii fishes;
vector<map<int, int>> prefixWeight;

int weightSum(int x, int y1, int y2) {
    if (x >= fishes.size() || y2 <= y1)
        return 0;

    // int res = 0;
    // for (auto [y, w] : fishes[x]) {
    //     if (y1 <= y && y < y2)
    //         res += w;
    // }

    // return res;

    auto it1 = prefixWeight[x].upper_bound(y2 - 1);
    auto it2 = prefixWeight[x].upper_bound(y1 - 1);
    int res = (--it1)->second - (--it2)->second;
    //cout << x << ' ' << y1 << ' ' << y2 << " = " << res << endl;
    return res;
}

long long max_weights(signed N, signed M, vector<signed> X, std::vector<signed> Y, std::vector<signed> W) {
    fishes = vvii(N);
    loop(i, M) {
        fishes[X[i]].push_back({Y[i], W[i]});
    }
    fishes.push_back({});

    prefixWeight = vector<map<int, int>>(N + 1);
    loop(x, N + 1) {
        sort(all(fishes[x]));

        int total = 0;
        prefixWeight[x][-2] = 0;
        for (auto [y, w] : fishes[x]) {
            total += w;

            prefixWeight[x][y] = total;
        }
    }

    vector<map<int, int>> beforeDp(N);
    vector<map<int, int>> bothDp(N);

    vi maxBefore(N);
    vi maxBoth(N);

    //bestBefore, bestBeforeAndAfter
    loop(x, N) {
        if (x == 0) {
            for (auto [y, w] : fishes[x + 1]) {
                bothDp[0][y + 1] = weightSum(x + 1, 0, y + 1);
                maxBoth[x] = max(maxBoth[x], bothDp[0][y + 1]);
            }
            beforeDp[0][0] = 0;
            maxBefore[0] = 0;

            continue;
        }

        int bestBefore2 = 0;
        int bestBoth3 = 0;
        if (x >= 2) {
            bestBefore2 = maxBefore[x - 2];
        }
        if (x >= 3) {
            bestBoth3 = maxBoth[x - 3];
        }

        for (const auto& [y, w] : fishes.at(x - 1)) {
            int height = y + 1;
            int& both = bothDp[x][height];
            int& before = beforeDp[x][height];

            for (const auto& [prevHeight, prevScore] : beforeDp.at(x - 1)) {
                int prevCur = weightSum(x - 1, prevHeight, height);

                both = max(both, prevScore + prevCur);
                before = max(before, prevScore + prevCur);
            }
            for (const auto& [prevY, prevScore] : bothDp.at(x - 1)) {
                if (prevY <= height) 
                    continue;

                int prevCur = -weightSum(x, 0, height);
                both = max(both, prevScore + prevCur);
            }

            int prevWeight = weightSum(x - 1, 0, height);
            both = max(both, bestBefore2 + prevWeight);
            both = max(both, bestBoth3 + prevWeight);

            before = max(before, bestBefore2 + prevWeight);
            before = max(before, bestBoth3 + prevWeight);
            
            maxBefore[x] = max(maxBefore[x], before);
        }
        for (const auto& [y, w] : fishes.at(x + 1)) {
            int height = y + 1;
            int& both = bothDp[x][height];

            for (const auto& [prevHeight, prevScore] : beforeDp.at(x - 1)) {
                int prevCur = weightSum(x - 1, prevHeight, height);

                both = max(both, prevScore + prevCur);
            }
            for (const auto& [prevY, prevScore] : bothDp.at(x - 1)) {
                if (prevY <= height) 
                    continue;

                int prevCur = -weightSum(x, 0, height);
                both = max(both, prevScore + prevCur);
            }

            int prevWeight = weightSum(x - 1, 0, height);
            both = max(both, bestBefore2 + prevWeight);
            both = max(both, bestBoth3 + prevWeight);
        }

        for (const auto& [height, score] : bothDp.at(x)) {
            int nextWeight = weightSum(x + 1, 0, height);
            bothDp[x][height] += nextWeight;
            
            maxBoth[x] = max(maxBoth[x], bothDp[x][height]);
        }

        int& both = bothDp[x][0];
        int& before = beforeDp[x][0];

        both = max({both, maxBefore[x - 1], bestBefore2, bestBoth3});
        before = max(before, both);

        maxBefore[x] = max(maxBefore[x], before);
        maxBoth[x] = max(maxBoth[x], both);
    }

    int res = 0;
    loop(x, N) {
        for (auto [y, score] : beforeDp[x]) {
            res = max(res, score);
        }
        for (auto [y, score] : bothDp[x]) {
            res = max(res, score);
        }
    }

    return res;
}

Compilation message

fish.cpp: In function 'long long int weightSum(long long int, long long int, long long int)':
fish.cpp:37:11: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::vector<std::pair<long long int, long long int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   37 |     if (x >= fishes.size() || y2 <= y1)
      |         ~~^~~~~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 123 ms 51836 KB Output is correct
2 Correct 158 ms 59800 KB Output is correct
3 Correct 25 ms 37172 KB Output is correct
4 Correct 25 ms 38452 KB Output is correct
5 Correct 543 ms 124032 KB Output is correct
6 Correct 286 ms 127296 KB Output is correct

Subtask #2
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Execution timed out 1075 ms 44852 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 37416 KB Output is correct
2 Correct 25 ms 38456 KB Output is correct
3 Correct 52 ms 48660 KB Output is correct
4 Correct 46 ms 46892 KB Output is correct
5 Correct 84 ms 63020 KB Output is correct
6 Correct 86 ms 61484 KB Output is correct
7 Correct 80 ms 61480 KB Output is correct
8 Correct 88 ms 62752 KB Output is correct

Subtask #4
14.0 / 14.0

# 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 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct

Subtask #5
0 / 21.0

# 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 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 0 ms 604 KB Output is correct
16 Correct 13 ms 856 KB Output is correct
17 Execution timed out 1039 ms 11596 KB Time limit exceeded
18 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# 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 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 0 ms 604 KB Output is correct
16 Correct 13 ms 856 KB Output is correct
17 Execution timed out 1039 ms 11596 KB Time limit exceeded
18 Halted 0 ms 0 KB -

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 37416 KB Output is correct
2 Correct 25 ms 38456 KB Output is correct
3 Correct 52 ms 48660 KB Output is correct
4 Correct 46 ms 46892 KB Output is correct
5 Correct 84 ms 63020 KB Output is correct
6 Correct 86 ms 61484 KB Output is correct
7 Correct 80 ms 61480 KB Output is correct
8 Correct 88 ms 62752 KB Output is correct
9 Correct 95 ms 68392 KB Output is correct
10 Correct 74 ms 42428 KB Output is correct
11 Correct 152 ms 84520 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 25 ms 38708 KB Output is correct
19 Correct 26 ms 37172 KB Output is correct
20 Correct 35 ms 38188 KB Output is correct
21 Correct 25 ms 37168 KB Output is correct
22 Correct 113 ms 67028 KB Output is correct
23 Correct 172 ms 93996 KB Output is correct
24 Correct 183 ms 97488 KB Output is correct

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 123 ms 51836 KB Output is correct
2 Correct 158 ms 59800 KB Output is correct
3 Correct 25 ms 37172 KB Output is correct
4 Correct 25 ms 38452 KB Output is correct
5 Correct 543 ms 124032 KB Output is correct
6 Correct 286 ms 127296 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Execution timed out 1075 ms 44852 KB Time limit exceeded
9 Halted 0 ms 0 KB -