답안 #1066080

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1066080 2024-08-19T14:52:27 Z j_vdd16 메기 농장 (IOI22_fish) C++17
40 / 100
1000 ms 129064 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);

    //bestBefore, bestBeforeAndAfter
    int counter = 0;
    loop(x, N) {
        if (x == 0) {
            for (const 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;
        }

        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 = LLONG_MIN;
            before = LLONG_MIN;

            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);

            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);
        }
        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);
    }

    //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)
      |         ~~^~~~~~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 144 ms 53212 KB Output is correct
2 Correct 167 ms 62104 KB Output is correct
3 Correct 30 ms 39460 KB Output is correct
4 Correct 28 ms 37928 KB Output is correct
5 Correct 615 ms 126108 KB Output is correct
6 Correct 293 ms 129064 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Execution timed out 1075 ms 45620 KB Time limit exceeded
3 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 29 ms 37936 KB Output is correct
2 Correct 29 ms 39732 KB Output is correct
3 Correct 55 ms 47636 KB Output is correct
4 Correct 45 ms 47164 KB Output is correct
5 Correct 80 ms 62764 KB Output is correct
6 Correct 77 ms 63016 KB Output is correct
7 Correct 84 ms 62248 KB Output is correct
8 Correct 89 ms 63960 KB Output is correct
# 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 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 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 392 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 3 ms 1092 KB Output is correct
11 Correct 2 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
# 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 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 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 392 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 3 ms 1092 KB Output is correct
11 Correct 2 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 11 ms 860 KB Output is correct
17 Correct 891 ms 11684 KB Output is correct
18 Execution timed out 1008 ms 11604 KB Time limit exceeded
19 Halted 0 ms 0 KB -
# 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 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 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 392 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 3 ms 1092 KB Output is correct
11 Correct 2 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 11 ms 860 KB Output is correct
17 Correct 891 ms 11684 KB Output is correct
18 Execution timed out 1008 ms 11604 KB Time limit exceeded
19 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 29 ms 37936 KB Output is correct
2 Correct 29 ms 39732 KB Output is correct
3 Correct 55 ms 47636 KB Output is correct
4 Correct 45 ms 47164 KB Output is correct
5 Correct 80 ms 62764 KB Output is correct
6 Correct 77 ms 63016 KB Output is correct
7 Correct 84 ms 62248 KB Output is correct
8 Correct 89 ms 63960 KB Output is correct
9 Correct 93 ms 68392 KB Output is correct
10 Correct 80 ms 42940 KB Output is correct
11 Correct 150 ms 85440 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 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 25 ms 37804 KB Output is correct
19 Correct 26 ms 37920 KB Output is correct
20 Correct 33 ms 37920 KB Output is correct
21 Correct 24 ms 37936 KB Output is correct
22 Correct 102 ms 67900 KB Output is correct
23 Correct 182 ms 94248 KB Output is correct
24 Correct 189 ms 96300 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 144 ms 53212 KB Output is correct
2 Correct 167 ms 62104 KB Output is correct
3 Correct 30 ms 39460 KB Output is correct
4 Correct 28 ms 37928 KB Output is correct
5 Correct 615 ms 126108 KB Output is correct
6 Correct 293 ms 129064 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Execution timed out 1075 ms 45620 KB Time limit exceeded
9 Halted 0 ms 0 KB -