oj.uz

답안 #1066098

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1066098 2024-08-19T15:02:41 Z j_vdd16 메기 농장 (IOI22_fish) C++17
46 / 100
 1000 ms 132396 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 = LLONG_MIN;

            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

# 결과 실행 시간 메모리 Grader output
1 Correct 133 ms 54912 KB Output is correct
2 Correct 171 ms 63128 KB Output is correct
3 Correct 29 ms 39500 KB Output is correct
4 Correct 28 ms 39464 KB Output is correct
5 Correct 613 ms 129664 KB Output is correct
6 Correct 373 ms 132396 KB Output is correct

Subtask #2
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 326 ms 78976 KB Output is correct
3 Correct 414 ms 94724 KB Output is correct
4 Correct 137 ms 55168 KB Output is correct
5 Correct 182 ms 63844 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 31 ms 39456 KB Output is correct
11 Correct 27 ms 39468 KB Output is correct
12 Correct 181 ms 60424 KB Output is correct
13 Correct 221 ms 70036 KB Output is correct
14 Correct 155 ms 57968 KB Output is correct
15 Correct 186 ms 64336 KB Output is correct
16 Correct 159 ms 57980 KB Output is correct
17 Correct 187 ms 64296 KB Output is correct

Subtask #3
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 27 ms 39476 KB Output is correct
2 Correct 27 ms 39496 KB Output is correct
3 Correct 54 ms 49684 KB Output is correct
4 Correct 48 ms 48948 KB Output is correct
5 Correct 79 ms 63788 KB Output is correct
6 Correct 79 ms 63784 KB Output is correct
7 Correct 86 ms 63784 KB Output is correct
8 Correct 81 ms 63784 KB Output is correct

Subtask #4
14.0 / 14.0

# 결과 실행 시간 메모리 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 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 348 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 2 ms 856 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 604 KB Output is correct

Subtask #5
0 / 21.0

# 결과 실행 시간 메모리 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 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 348 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 2 ms 856 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 8 ms 856 KB Output is correct
17 Correct 482 ms 11752 KB Output is correct
18 Correct 560 ms 11604 KB Output is correct
19 Correct 313 ms 11600 KB Output is correct
20 Correct 314 ms 11088 KB Output is correct
21 Correct 313 ms 11088 KB Output is correct
22 Execution timed out 1075 ms 20564 KB Time limit exceeded
23 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# 결과 실행 시간 메모리 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 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 348 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 2 ms 856 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 8 ms 856 KB Output is correct
17 Correct 482 ms 11752 KB Output is correct
18 Correct 560 ms 11604 KB Output is correct
19 Correct 313 ms 11600 KB Output is correct
20 Correct 314 ms 11088 KB Output is correct
21 Correct 313 ms 11088 KB Output is correct
22 Execution timed out 1075 ms 20564 KB Time limit exceeded
23 Halted 0 ms 0 KB -

Subtask #7
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 27 ms 39476 KB Output is correct
2 Correct 27 ms 39496 KB Output is correct
3 Correct 54 ms 49684 KB Output is correct
4 Correct 48 ms 48948 KB Output is correct
5 Correct 79 ms 63788 KB Output is correct
6 Correct 79 ms 63784 KB Output is correct
7 Correct 86 ms 63784 KB Output is correct
8 Correct 81 ms 63784 KB Output is correct
9 Correct 104 ms 70948 KB Output is correct
10 Correct 78 ms 44552 KB Output is correct
11 Correct 171 ms 88872 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 440 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 26 ms 39388 KB Output is correct
19 Correct 31 ms 39476 KB Output is correct
20 Correct 30 ms 39476 KB Output is correct
21 Correct 28 ms 39476 KB Output is correct
22 Correct 120 ms 70696 KB Output is correct
23 Correct 173 ms 98088 KB Output is correct
24 Correct 173 ms 100136 KB Output is correct

Subtask #8
0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 133 ms 54912 KB Output is correct
2 Correct 171 ms 63128 KB Output is correct
3 Correct 29 ms 39500 KB Output is correct
4 Correct 28 ms 39464 KB Output is correct
5 Correct 613 ms 129664 KB Output is correct
6 Correct 373 ms 132396 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 326 ms 78976 KB Output is correct
9 Correct 414 ms 94724 KB Output is correct
10 Correct 137 ms 55168 KB Output is correct
11 Correct 182 ms 63844 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 31 ms 39456 KB Output is correct
17 Correct 27 ms 39468 KB Output is correct
18 Correct 181 ms 60424 KB Output is correct
19 Correct 221 ms 70036 KB Output is correct
20 Correct 155 ms 57968 KB Output is correct
21 Correct 186 ms 64336 KB Output is correct
22 Correct 159 ms 57980 KB Output is correct
23 Correct 187 ms 64296 KB Output is correct
24 Correct 27 ms 39476 KB Output is correct
25 Correct 27 ms 39496 KB Output is correct
26 Correct 54 ms 49684 KB Output is correct
27 Correct 48 ms 48948 KB Output is correct
28 Correct 79 ms 63788 KB Output is correct
29 Correct 79 ms 63784 KB Output is correct
30 Correct 86 ms 63784 KB Output is correct
31 Correct 81 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 344 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 348 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 856 KB Output is correct
42 Correct 2 ms 604 KB Output is correct
43 Correct 1 ms 860 KB Output is correct
44 Correct 1 ms 344 KB Output is correct
45 Correct 1 ms 604 KB Output is correct
46 Correct 1 ms 604 KB Output is correct
47 Correct 8 ms 856 KB Output is correct
48 Correct 482 ms 11752 KB Output is correct
49 Correct 560 ms 11604 KB Output is correct
50 Correct 313 ms 11600 KB Output is correct
51 Correct 314 ms 11088 KB Output is correct
52 Correct 313 ms 11088 KB Output is correct
53 Execution timed out 1075 ms 20564 KB Time limit exceeded
54 Halted 0 ms 0 KB -