Submission #1065989

# Submission time Handle Problem Language Result Execution time Memory
1065989 2024-08-19T13:54:15 Z j_vdd16 Catfish Farm (IOI22_fish) C++17
40 / 100
1000 ms 127584 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;
        }

        set<int> heights;
        for (auto [y, w] : fishes[x - 1]) {
            heights.insert(y + 1);
        }
        
        int bestBefore2 = 0;
        int bestBoth3 = 0;
        if (x >= 2) {
            bestBefore2 = maxBefore[x - 2];
        }
        if (x >= 3) {
            bestBoth3 = maxBoth[x - 3];
        }

        for (int height : heights) {
            int& before = beforeDp[x][height];

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

                before = max(before, prevScore + prevCur);
            }

            int prevWeight = weightSum(x - 1, 0, height);
            before = max(before, bestBefore2 + prevWeight);
            before = max(before, bestBoth3 + prevWeight);
            
            maxBefore[x] = max(maxBefore[x], before);
        }

        for (auto [y, w] : fishes[x + 1]) {
            heights.insert(y + 1);
        }
        for (int height : heights) {
            int& both = bothDp[x][height];

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

                both = max(both, prevScore + prevCur);
            }
            for (auto [prevY, prevScore] : bothDp[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);

            int nextWeight = weightSum(x + 1, 0, height);
            both += nextWeight;

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


        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)
      |         ~~^~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 147 ms 51836 KB Output is correct
2 Correct 180 ms 59712 KB Output is correct
3 Correct 29 ms 37172 KB Output is correct
4 Correct 30 ms 37168 KB Output is correct
5 Correct 657 ms 127584 KB Output is correct
6 Correct 336 ms 126544 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Execution timed out 1070 ms 52532 KB Time limit exceeded
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 27 ms 37160 KB Output is correct
2 Correct 27 ms 37160 KB Output is correct
3 Correct 55 ms 46612 KB Output is correct
4 Correct 56 ms 46128 KB Output is correct
5 Correct 86 ms 61480 KB Output is correct
6 Correct 81 ms 61484 KB Output is correct
7 Correct 80 ms 61492 KB Output is correct
8 Correct 84 ms 61484 KB Output is correct
# 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 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 2 ms 856 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
# 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 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 2 ms 856 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 12 ms 812 KB Output is correct
17 Correct 947 ms 11576 KB Output is correct
18 Execution timed out 1018 ms 11860 KB Time limit exceeded
19 Halted 0 ms 0 KB -
# 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 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 2 ms 856 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 12 ms 812 KB Output is correct
17 Correct 947 ms 11576 KB Output is correct
18 Execution timed out 1018 ms 11860 KB Time limit exceeded
19 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 27 ms 37160 KB Output is correct
2 Correct 27 ms 37160 KB Output is correct
3 Correct 55 ms 46612 KB Output is correct
4 Correct 56 ms 46128 KB Output is correct
5 Correct 86 ms 61480 KB Output is correct
6 Correct 81 ms 61484 KB Output is correct
7 Correct 80 ms 61492 KB Output is correct
8 Correct 84 ms 61484 KB Output is correct
9 Correct 93 ms 67628 KB Output is correct
10 Correct 75 ms 42428 KB Output is correct
11 Correct 150 ms 84664 KB Output is correct
12 Correct 0 ms 348 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 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 29 ms 37172 KB Output is correct
19 Correct 27 ms 37172 KB Output is correct
20 Correct 27 ms 37160 KB Output is correct
21 Correct 26 ms 37228 KB Output is correct
22 Correct 111 ms 67112 KB Output is correct
23 Correct 190 ms 93480 KB Output is correct
24 Correct 191 ms 95528 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 147 ms 51836 KB Output is correct
2 Correct 180 ms 59712 KB Output is correct
3 Correct 29 ms 37172 KB Output is correct
4 Correct 30 ms 37168 KB Output is correct
5 Correct 657 ms 127584 KB Output is correct
6 Correct 336 ms 126544 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Execution timed out 1070 ms 52532 KB Time limit exceeded
9 Halted 0 ms 0 KB -