oj.uz

Submission #1066104

# Submission time Handle Problem Language Result Execution time Memory
1066104 2024-08-19T15:05:20 Z j_vdd16 Catfish Farm (IOI22_fish) C++17
18 / 100
 797 ms 153900 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];
            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 142 ms 55312 KB Output is correct
2 Correct 176 ms 63908 KB Output is correct
3 Correct 28 ms 39456 KB Output is correct
4 Correct 31 ms 39472 KB Output is correct
5 Correct 797 ms 151168 KB Output is correct
6 Correct 436 ms 153900 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 335 ms 80092 KB Output is correct
3 Correct 431 ms 94588 KB Output is correct
4 Correct 145 ms 55168 KB Output is correct
5 Correct 173 ms 63888 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 31 ms 39468 KB Output is correct
11 Correct 29 ms 39464 KB Output is correct
12 Correct 197 ms 60420 KB Output is correct
13 Correct 227 ms 70036 KB Output is correct
14 Correct 159 ms 57760 KB Output is correct
15 Correct 190 ms 64408 KB Output is correct
16 Correct 163 ms 57980 KB Output is correct
17 Correct 191 ms 64404 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 39472 KB Output is correct
2 Correct 30 ms 39476 KB Output is correct
3 Correct 67 ms 50152 KB Output is correct
4 Correct 52 ms 49444 KB Output is correct
5 Correct 99 ms 65236 KB Output is correct
6 Correct 84 ms 64804 KB Output is correct
7 Correct 83 ms 65320 KB Output is correct
8 Correct 91 ms 65356 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
9 Halted 0 ms 0 KB -

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
9 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
9 Halted 0 ms 0 KB -

Subtask #7
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 39472 KB Output is correct
2 Correct 30 ms 39476 KB Output is correct
3 Correct 67 ms 50152 KB Output is correct
4 Correct 52 ms 49444 KB Output is correct
5 Correct 99 ms 65236 KB Output is correct
6 Correct 84 ms 64804 KB Output is correct
7 Correct 83 ms 65320 KB Output is correct
8 Correct 91 ms 65356 KB Output is correct
9 Correct 106 ms 77608 KB Output is correct
10 Incorrect 74 ms 45252 KB 1st lines differ - on the 1st token, expected: '36454348383152', found: '36364983059693'
11 Halted 0 ms 0 KB -

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 142 ms 55312 KB Output is correct
2 Correct 176 ms 63908 KB Output is correct
3 Correct 28 ms 39456 KB Output is correct
4 Correct 31 ms 39472 KB Output is correct
5 Correct 797 ms 151168 KB Output is correct
6 Correct 436 ms 153900 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 335 ms 80092 KB Output is correct
9 Correct 431 ms 94588 KB Output is correct
10 Correct 145 ms 55168 KB Output is correct
11 Correct 173 ms 63888 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 31 ms 39468 KB Output is correct
17 Correct 29 ms 39464 KB Output is correct
18 Correct 197 ms 60420 KB Output is correct
19 Correct 227 ms 70036 KB Output is correct
20 Correct 159 ms 57760 KB Output is correct
21 Correct 190 ms 64408 KB Output is correct
22 Correct 163 ms 57980 KB Output is correct
23 Correct 191 ms 64404 KB Output is correct
24 Correct 27 ms 39472 KB Output is correct
25 Correct 30 ms 39476 KB Output is correct
26 Correct 67 ms 50152 KB Output is correct
27 Correct 52 ms 49444 KB Output is correct
28 Correct 99 ms 65236 KB Output is correct
29 Correct 84 ms 64804 KB Output is correct
30 Correct 83 ms 65320 KB Output is correct
31 Correct 91 ms 65356 KB Output is correct
32 Correct 0 ms 344 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 344 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
40 Halted 0 ms 0 KB -