oj.uz

Submission #1066118

# Submission time Handle Problem Language Result Execution time Memory
1066118 2024-08-19T15:10:48 Z j_vdd16 Catfish Farm (IOI22_fish) C++17
67 / 100
 1000 ms 128816 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 ll 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;

vector<vector<pair<int, ll>>> fishes;
vector<map<int, ll>> prefixWeight;
vector<ll> totals;

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

    auto it1 = prefixWeight[x].upper_bound(y2 - 1);
    auto it2 = prefixWeight[x].upper_bound(y1 - 1);
    ll 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 = vector<vector<pair<int, ll>>>(N);
    loop(i, M) {
        fishes[X[i]].push_back({Y[i], W[i]});
    }
    fishes.push_back({});

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

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

            prefixWeight[x][y] = total;
        }

        totals[x] = total;
    }

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

    vector<ll> maxBefore(N);
    vector<ll> maxBoth(N);
    vector<ll> maxBeforeMinCur(N), maxBeforeMinNext(N);

    //bestBefore, bestBeforeAndAfter
    int counter = 0;
    loop(x, N) {
        if (x == 0) {
            for (const auto& [y, w] : fishes[x + 1]) {
                int height = y + 1;
                bothDp[0][height] = weightSum(x + 1, 0, height);
                maxBoth[x] = max(maxBoth[x], bothDp[0][height]);

                maxBeforeMinCur[x] = max(maxBeforeMinCur[x], 0 - weightSum(x, 0, height));
                maxBeforeMinNext[x] = max(maxBeforeMinNext[x], 0 - weightSum(x + 1, 0, height));
            }

            beforeDp[0][0] = 0;
            maxBefore[0] = 0;

            continue;
        }

        ll bestBefore2 = 0;
        if (x >= 2) {
            bestBefore2 = maxBefore[x - 2];
        }
        if (x >= 3) {
            bestBefore2 = max(bestBefore2, maxBoth[x - 3]);
        }

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

            both = maxBeforeMinCur[x - 1] + weightSum(x - 1, 0, height);
            before = maxBeforeMinCur[x - 1] + weightSum(x - 1, 0, height);

            // for (const auto& [prevHeight, prevScore] : beforeDp.at(x - 1)) {
            //     counter++;
            //     //ll prevCur = weightSum(x - 1, prevHeight, height);
            //     ll prevCur = -weightSum(x - 1, 0, prevHeight);

            //     both = max(both, prevScore + prevCur);
            //     before = max(before, prevScore + prevCur);
            // }
            // both += weightSum(x - 1, 0, height);
            // before += weightSum(x - 1, 0, height);

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

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

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

            before = max(before, bestBefore2 + prevWeight);
            
            maxBefore[x] = max(maxBefore[x], before);
            maxBeforeMinCur[x] = max(maxBeforeMinCur[x], before - weightSum(x, 0, height));
            maxBeforeMinNext[x] = max(maxBeforeMinNext[x], before - weightSum(x + 1, 0, height));
        }
        for (const auto& [y, w] : fishes.at(x + 1)) {
            int height = y + 1;
            ll& both = bothDp[x][height];

            both = max(both, maxBeforeMinCur[x - 1] + weightSum(x - 1, 0, height));
            //both = max(both, maxBeforeMinNext[x]);
            // for (const auto& [prevHeight, prevScore] : beforeDp.at(x - 1)) {
            //     counter++;
            //     ll prevCur = weightSum(x - 1, prevHeight, height);

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

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

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

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

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

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

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

        maxBeforeMinCur[x] = max(maxBeforeMinCur[x], before);
        maxBeforeMinNext[x] = max(maxBeforeMinNext[x], before);
    }

    //cout << "Counter: " << counter << endl;

    ll 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(int, int, int)':
fish.cpp:38:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<std::pair<int, long long int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   38 |     if (x >= fishes.size() || y2 <= y1)
      |         ~~^~~~~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 166 ms 53904 KB Output is correct
2 Correct 176 ms 62100 KB Output is correct
3 Correct 27 ms 39476 KB Output is correct
4 Correct 28 ms 39476 KB Output is correct
5 Correct 641 ms 126452 KB Output is correct
6 Correct 324 ms 128816 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 382 ms 77360 KB Output is correct
3 Correct 426 ms 91020 KB Output is correct
4 Correct 133 ms 53884 KB Output is correct
5 Correct 172 ms 62100 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 27 ms 39416 KB Output is correct
11 Correct 29 ms 39352 KB Output is correct
12 Correct 180 ms 59068 KB Output is correct
13 Correct 243 ms 68548 KB Output is correct
14 Correct 181 ms 56512 KB Output is correct
15 Correct 182 ms 62752 KB Output is correct
16 Correct 160 ms 56444 KB Output is correct
17 Correct 190 ms 62808 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 39468 KB Output is correct
2 Correct 28 ms 39476 KB Output is correct
3 Correct 63 ms 48912 KB Output is correct
4 Correct 58 ms 48452 KB Output is correct
5 Correct 83 ms 63788 KB Output is correct
6 Correct 90 ms 63784 KB Output is correct
7 Correct 107 ms 63604 KB Output is correct
8 Correct 95 ms 63784 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 0 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 344 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 1 ms 864 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 2 ms 604 KB Output is correct

Subtask #5
21.0 / 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 0 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 344 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 1 ms 864 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 2 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 5 ms 860 KB Output is correct
17 Correct 249 ms 11668 KB Output is correct
18 Correct 267 ms 11636 KB Output is correct
19 Correct 166 ms 11604 KB Output is correct
20 Correct 150 ms 11100 KB Output is correct
21 Correct 143 ms 11092 KB Output is correct
22 Correct 548 ms 21804 KB Output is correct
23 Correct 16 ms 3164 KB Output is correct
24 Correct 114 ms 8528 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 16 ms 2916 KB Output is correct

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 0 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 344 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 1 ms 864 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 2 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 5 ms 860 KB Output is correct
17 Correct 249 ms 11668 KB Output is correct
18 Correct 267 ms 11636 KB Output is correct
19 Correct 166 ms 11604 KB Output is correct
20 Correct 150 ms 11100 KB Output is correct
21 Correct 143 ms 11092 KB Output is correct
22 Correct 548 ms 21804 KB Output is correct
23 Correct 16 ms 3164 KB Output is correct
24 Correct 114 ms 8528 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 16 ms 2916 KB Output is correct
27 Correct 5 ms 2400 KB Output is correct
28 Execution timed out 1034 ms 34640 KB Time limit exceeded
29 Halted 0 ms 0 KB -

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 39468 KB Output is correct
2 Correct 28 ms 39476 KB Output is correct
3 Correct 63 ms 48912 KB Output is correct
4 Correct 58 ms 48452 KB Output is correct
5 Correct 83 ms 63788 KB Output is correct
6 Correct 90 ms 63784 KB Output is correct
7 Correct 107 ms 63604 KB Output is correct
8 Correct 95 ms 63784 KB Output is correct
9 Correct 102 ms 69928 KB Output is correct
10 Correct 82 ms 43708 KB Output is correct
11 Correct 184 ms 86956 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 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 29 ms 39476 KB Output is correct
19 Correct 27 ms 39340 KB Output is correct
20 Correct 29 ms 39472 KB Output is correct
21 Correct 26 ms 39472 KB Output is correct
22 Correct 103 ms 69592 KB Output is correct
23 Correct 172 ms 96044 KB Output is correct
24 Correct 192 ms 97832 KB Output is correct

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 166 ms 53904 KB Output is correct
2 Correct 176 ms 62100 KB Output is correct
3 Correct 27 ms 39476 KB Output is correct
4 Correct 28 ms 39476 KB Output is correct
5 Correct 641 ms 126452 KB Output is correct
6 Correct 324 ms 128816 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 382 ms 77360 KB Output is correct
9 Correct 426 ms 91020 KB Output is correct
10 Correct 133 ms 53884 KB Output is correct
11 Correct 172 ms 62100 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 27 ms 39416 KB Output is correct
17 Correct 29 ms 39352 KB Output is correct
18 Correct 180 ms 59068 KB Output is correct
19 Correct 243 ms 68548 KB Output is correct
20 Correct 181 ms 56512 KB Output is correct
21 Correct 182 ms 62752 KB Output is correct
22 Correct 160 ms 56444 KB Output is correct
23 Correct 190 ms 62808 KB Output is correct
24 Correct 30 ms 39468 KB Output is correct
25 Correct 28 ms 39476 KB Output is correct
26 Correct 63 ms 48912 KB Output is correct
27 Correct 58 ms 48452 KB Output is correct
28 Correct 83 ms 63788 KB Output is correct
29 Correct 90 ms 63784 KB Output is correct
30 Correct 107 ms 63604 KB Output is correct
31 Correct 95 ms 63784 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 2 ms 860 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 1 ms 864 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 2 ms 604 KB Output is correct
46 Correct 1 ms 604 KB Output is correct
47 Correct 5 ms 860 KB Output is correct
48 Correct 249 ms 11668 KB Output is correct
49 Correct 267 ms 11636 KB Output is correct
50 Correct 166 ms 11604 KB Output is correct
51 Correct 150 ms 11100 KB Output is correct
52 Correct 143 ms 11092 KB Output is correct
53 Correct 548 ms 21804 KB Output is correct
54 Correct 16 ms 3164 KB Output is correct
55 Correct 114 ms 8528 KB Output is correct
56 Correct 1 ms 860 KB Output is correct
57 Correct 16 ms 2916 KB Output is correct
58 Correct 5 ms 2400 KB Output is correct
59 Execution timed out 1034 ms 34640 KB Time limit exceeded
60 Halted 0 ms 0 KB -