oj.uz

Submission #1066126

# Submission time Handle Problem Language Result Execution time Memory
1066126 2024-08-19T15:13:58 Z j_vdd16 Catfish Farm (IOI22_fish) C++17
100 / 100
 665 ms 134972 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);

    //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));
            }

            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));
        }
        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);
            // }
            both = max(both, maxBoth[x - 1] - weightSum(x, 0, height));

            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);
    }

    //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 130 ms 53116 KB Output is correct
2 Correct 193 ms 61332 KB Output is correct
3 Correct 32 ms 38708 KB Output is correct
4 Correct 30 ms 38540 KB Output is correct
5 Correct 665 ms 125484 KB Output is correct
6 Correct 353 ms 128084 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 412 KB Output is correct
2 Correct 331 ms 76636 KB Output is correct
3 Correct 420 ms 90400 KB Output is correct
4 Correct 150 ms 53120 KB Output is correct
5 Correct 203 ms 61432 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 26 ms 38708 KB Output is correct
11 Correct 28 ms 38704 KB Output is correct
12 Correct 178 ms 58236 KB Output is correct
13 Correct 212 ms 67736 KB Output is correct
14 Correct 154 ms 55740 KB Output is correct
15 Correct 176 ms 62100 KB Output is correct
16 Correct 158 ms 55688 KB Output is correct
17 Correct 211 ms 61816 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 38704 KB Output is correct
2 Correct 27 ms 38704 KB Output is correct
3 Correct 51 ms 48080 KB Output is correct
4 Correct 51 ms 47660 KB Output is correct
5 Correct 77 ms 62812 KB Output is correct
6 Correct 81 ms 62808 KB Output is correct
7 Correct 81 ms 63016 KB Output is correct
8 Correct 84 ms 63016 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 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 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
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 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 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 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 1 ms 604 KB Output is correct
16 Correct 2 ms 860 KB Output is correct
17 Correct 52 ms 11760 KB Output is correct
18 Correct 44 ms 11652 KB Output is correct
19 Correct 36 ms 11612 KB Output is correct
20 Correct 30 ms 11124 KB Output is correct
21 Correct 30 ms 11260 KB Output is correct
22 Correct 83 ms 21888 KB Output is correct
23 Correct 9 ms 3164 KB Output is correct
24 Correct 34 ms 8628 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 8 ms 2940 KB Output is correct

Subtask #6
17.0 / 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 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 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 1 ms 604 KB Output is correct
16 Correct 2 ms 860 KB Output is correct
17 Correct 52 ms 11760 KB Output is correct
18 Correct 44 ms 11652 KB Output is correct
19 Correct 36 ms 11612 KB Output is correct
20 Correct 30 ms 11124 KB Output is correct
21 Correct 30 ms 11260 KB Output is correct
22 Correct 83 ms 21888 KB Output is correct
23 Correct 9 ms 3164 KB Output is correct
24 Correct 34 ms 8628 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 8 ms 2940 KB Output is correct
27 Correct 5 ms 2396 KB Output is correct
28 Correct 274 ms 54156 KB Output is correct
29 Correct 442 ms 86868 KB Output is correct
30 Correct 380 ms 94300 KB Output is correct
31 Correct 378 ms 94180 KB Output is correct
32 Correct 334 ms 76624 KB Output is correct
33 Correct 385 ms 94804 KB Output is correct
34 Correct 363 ms 94804 KB Output is correct
35 Correct 113 ms 35712 KB Output is correct
36 Correct 403 ms 93008 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 38704 KB Output is correct
2 Correct 27 ms 38704 KB Output is correct
3 Correct 51 ms 48080 KB Output is correct
4 Correct 51 ms 47660 KB Output is correct
5 Correct 77 ms 62812 KB Output is correct
6 Correct 81 ms 62808 KB Output is correct
7 Correct 81 ms 63016 KB Output is correct
8 Correct 84 ms 63016 KB Output is correct
9 Correct 92 ms 69164 KB Output is correct
10 Correct 67 ms 43256 KB Output is correct
11 Correct 144 ms 86052 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 27 ms 38756 KB Output is correct
19 Correct 27 ms 38704 KB Output is correct
20 Correct 30 ms 38696 KB Output is correct
21 Correct 26 ms 38708 KB Output is correct
22 Correct 118 ms 68648 KB Output is correct
23 Correct 154 ms 95164 KB Output is correct
24 Correct 167 ms 97068 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 130 ms 53116 KB Output is correct
2 Correct 193 ms 61332 KB Output is correct
3 Correct 32 ms 38708 KB Output is correct
4 Correct 30 ms 38540 KB Output is correct
5 Correct 665 ms 125484 KB Output is correct
6 Correct 353 ms 128084 KB Output is correct
7 Correct 1 ms 412 KB Output is correct
8 Correct 331 ms 76636 KB Output is correct
9 Correct 420 ms 90400 KB Output is correct
10 Correct 150 ms 53120 KB Output is correct
11 Correct 203 ms 61432 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 26 ms 38708 KB Output is correct
17 Correct 28 ms 38704 KB Output is correct
18 Correct 178 ms 58236 KB Output is correct
19 Correct 212 ms 67736 KB Output is correct
20 Correct 154 ms 55740 KB Output is correct
21 Correct 176 ms 62100 KB Output is correct
22 Correct 158 ms 55688 KB Output is correct
23 Correct 211 ms 61816 KB Output is correct
24 Correct 26 ms 38704 KB Output is correct
25 Correct 27 ms 38704 KB Output is correct
26 Correct 51 ms 48080 KB Output is correct
27 Correct 51 ms 47660 KB Output is correct
28 Correct 77 ms 62812 KB Output is correct
29 Correct 81 ms 62808 KB Output is correct
30 Correct 81 ms 63016 KB Output is correct
31 Correct 84 ms 63016 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 1 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 860 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 1 ms 604 KB Output is correct
46 Correct 1 ms 604 KB Output is correct
47 Correct 2 ms 860 KB Output is correct
48 Correct 52 ms 11760 KB Output is correct
49 Correct 44 ms 11652 KB Output is correct
50 Correct 36 ms 11612 KB Output is correct
51 Correct 30 ms 11124 KB Output is correct
52 Correct 30 ms 11260 KB Output is correct
53 Correct 83 ms 21888 KB Output is correct
54 Correct 9 ms 3164 KB Output is correct
55 Correct 34 ms 8628 KB Output is correct
56 Correct 1 ms 860 KB Output is correct
57 Correct 8 ms 2940 KB Output is correct
58 Correct 5 ms 2396 KB Output is correct
59 Correct 274 ms 54156 KB Output is correct
60 Correct 442 ms 86868 KB Output is correct
61 Correct 380 ms 94300 KB Output is correct
62 Correct 378 ms 94180 KB Output is correct
63 Correct 334 ms 76624 KB Output is correct
64 Correct 385 ms 94804 KB Output is correct
65 Correct 363 ms 94804 KB Output is correct
66 Correct 113 ms 35712 KB Output is correct
67 Correct 403 ms 93008 KB Output is correct
68 Correct 92 ms 69164 KB Output is correct
69 Correct 67 ms 43256 KB Output is correct
70 Correct 144 ms 86052 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 0 ms 348 KB Output is correct
74 Correct 0 ms 348 KB Output is correct
75 Correct 0 ms 348 KB Output is correct
76 Correct 0 ms 348 KB Output is correct
77 Correct 27 ms 38756 KB Output is correct
78 Correct 27 ms 38704 KB Output is correct
79 Correct 30 ms 38696 KB Output is correct
80 Correct 26 ms 38708 KB Output is correct
81 Correct 118 ms 68648 KB Output is correct
82 Correct 154 ms 95164 KB Output is correct
83 Correct 167 ms 97068 KB Output is correct
84 Correct 593 ms 126016 KB Output is correct
85 Correct 650 ms 128988 KB Output is correct
86 Correct 286 ms 130064 KB Output is correct
87 Correct 294 ms 134960 KB Output is correct
88 Correct 1 ms 348 KB Output is correct
89 Correct 305 ms 134972 KB Output is correct
90 Correct 326 ms 128040 KB Output is correct
91 Correct 295 ms 118976 KB Output is correct