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Submission #800756

# Submission time Handle Problem Language Result Execution time Memory
800756 2023-08-01T19:58:59 Z QwertyPi Catfish Farm (IOI22_fish) C++17
100 / 100
 443 ms 96976 KB 
#include "fish.h"
#include <bits/stdc++.h>

using namespace std;

const long long INF = (1LL << 60);
struct value{
    int y; long long ans;
};

struct catfish{
    int y, w; long long s;
    bool operator< (const catfish& o) const {
        return y < o.y;
    }
};

const int MAXN = 1e5 + 11;
vector<value> DP[3][MAXN];
vector<catfish> F[MAXN];
int S[MAXN];

long long prefix_weight(int x, int y){
    int idx = upper_bound(F[x].begin(), F[x].end(), catfish{y}) - F[x].begin() - 1;
    return F[x][idx].s;
}

long long max_weights(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
    for(int i = 0; i < M; i++) X[i]++;
    for(int i = 0; i <= N + 1; i++){
        F[i].push_back({-1, 0});
    }
    for(int i = 0; i < M; i++){
        F[X[i]].push_back({Y[i], W[i]});
    }
    for(int i = 1; i <= N; i++){
        sort(F[i].begin(), F[i].end());
        for(int j = 1; j < (int) F[i].size(); j++){
            F[i][j].s = F[i][j - 1].s + F[i][j].w;
        }
    }
    for(int i = 1; i <= N; i++){
        vector<int> sp {-1};
        for(auto [y, w, s] : F[i - 1]) sp.push_back(y);
        for(auto [y, w, s] : F[i]) sp.push_back(y);
        for(auto [y, w, s] : F[i + 1]) sp.push_back(y);
        sort(sp.begin(), sp.end()); sp.resize(unique(sp.begin(), sp.end()) - sp.begin());
        for(auto v : sp) DP[0][i].push_back({v, 0}), DP[1][i].push_back({v, 0}), DP[2][i].push_back({v, 0}); S[i] = sp.size();
    }

    for(int x = 1; x <= N; x++){
        int pd0 = 0, pd1 = 0, pd2 = 0;
        
        // 0 to 0
        pd0 = 0; long long dp_max = 0;
        for(auto& [h, ans] : DP[0][x]){
            while(pd0 < S[x - 1] && DP[0][x - 1][pd0].y <= h) dp_max = max(dp_max, DP[0][x - 1][pd0].ans - prefix_weight(x - 1, DP[0][x - 1][pd0].y) - prefix_weight(x, DP[0][x - 1][pd0].y)), pd0++;
            ans = max(ans, prefix_weight(x - 1, h) + prefix_weight(x + 1, h) + dp_max);
        }

        // 2 to 0
        pd2 = S[x - 1] - 1; dp_max = -INF;
        for(int i = S[x] - 1; i >= 0; i--){
            int h = DP[0][x][i].y;
            while(pd2 >= 0 && DP[2][x - 1][pd2].y >= h) dp_max = max(dp_max, DP[2][x - 1][pd2--].ans);
            DP[0][x][i].ans = max(DP[0][x][i].ans, prefix_weight(x + 1, h) + dp_max);
        }

        // 2 to 0
        pd2 = 0; dp_max = 0;
        for(auto& [h, ans] : DP[0][x]){
            while(pd2 < S[x - 1] && DP[2][x - 1][pd2].y <= h) dp_max = max(dp_max, DP[2][x - 1][pd2].ans - prefix_weight(x - 1, DP[2][x - 1][pd2].y)), pd2++;
            ans = max(ans, prefix_weight(x - 1, h) + prefix_weight(x + 1, h) + dp_max);
        }

        // 0 and 1 to 1
        pd0 = S[x - 1] - 1, pd1 = S[x - 1] - 1; dp_max = -INF;
        for(int i = S[x] - 1; i >= 0; i--){
            int h = DP[1][x][i].y;
            while(pd0 >= 0 && DP[0][x - 1][pd0].y >= h) dp_max = max(dp_max, DP[0][x - 1][pd0--].ans);
            while(pd1 >= 0 && DP[1][x - 1][pd1].y >= h) dp_max = max(dp_max, DP[1][x - 1][pd1--].ans);
            DP[1][x][i].ans = max(DP[1][x][i].ans, dp_max + prefix_weight(x + 1, h) - prefix_weight(x, h));
        }

        // 0 and 1 to 2
        pd0 = S[x - 1] - 1, pd1 = S[x - 1] - 1;
        for(int i = S[x] - 1; i >= 0; i--){
            int h = DP[2][x][i].y; dp_max = 0;
            while(pd0 >= 0 && DP[0][x - 1][pd0].y >= h) dp_max = max(dp_max, DP[0][x - 1][pd0].ans), pd0--;
            while(pd1 >= 0 && DP[1][x - 1][pd1].y >= h) dp_max = max(dp_max, DP[1][x - 1][pd1].ans), pd1--;
            DP[2][x][i].ans = max(DP[2][x][i].ans, dp_max);
        }

        // 2 to 2
        dp_max = 0;
        for(int i = 0; i < S[x - 1]; i++){
            dp_max = max(dp_max, DP[2][x - 1][i].ans);
        }
        DP[2][x][0].ans = max(DP[2][x][0].ans, dp_max);
    }

    long long ans = 0;
    for(int i = 0; i < 3; i++){
        for(int j = 0; j < S[N]; j++){
            ans = max(ans, DP[i][N][j].ans);
        }
    }
    return ans;
}

Compilation message

fish.cpp: In function 'long long int max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:48:9: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
   48 |         for(auto v : sp) DP[0][i].push_back({v, 0}), DP[1][i].push_back({v, 0}), DP[2][i].push_back({v, 0}); S[i] = sp.size();
      |         ^~~
fish.cpp:48:110: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
   48 |         for(auto v : sp) DP[0][i].push_back({v, 0}), DP[1][i].push_back({v, 0}), DP[2][i].push_back({v, 0}); S[i] = sp.size();
      |                                                                                                              ^

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 96 ms 32868 KB Output is correct
2 Correct 116 ms 36476 KB Output is correct
3 Correct 34 ms 22516 KB Output is correct
4 Correct 34 ms 22592 KB Output is correct
5 Correct 367 ms 80628 KB Output is correct
6 Correct 351 ms 96976 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 187 ms 40456 KB Output is correct
3 Correct 218 ms 45020 KB Output is correct
4 Correct 101 ms 32840 KB Output is correct
5 Correct 116 ms 36396 KB Output is correct
6 Correct 4 ms 9684 KB Output is correct
7 Correct 4 ms 9684 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 41 ms 22620 KB Output is correct
11 Correct 34 ms 22540 KB Output is correct
12 Correct 123 ms 36744 KB Output is correct
13 Correct 149 ms 41128 KB Output is correct
14 Correct 119 ms 35240 KB Output is correct
15 Correct 121 ms 33184 KB Output is correct
16 Correct 123 ms 35132 KB Output is correct
17 Correct 129 ms 37672 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 22588 KB Output is correct
2 Correct 33 ms 22584 KB Output is correct
3 Correct 64 ms 26364 KB Output is correct
4 Correct 56 ms 26152 KB Output is correct
5 Correct 101 ms 32104 KB Output is correct
6 Correct 88 ms 31996 KB Output is correct
7 Correct 91 ms 32000 KB Output is correct
8 Correct 92 ms 32044 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 4 ms 9684 KB Output is correct
5 Correct 4 ms 9684 KB Output is correct
6 Correct 4 ms 9684 KB Output is correct
7 Correct 4 ms 9684 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 6 ms 10020 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct
12 Correct 5 ms 9912 KB Output is correct
13 Correct 4 ms 9732 KB Output is correct
14 Correct 5 ms 9864 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 4 ms 9684 KB Output is correct
5 Correct 4 ms 9684 KB Output is correct
6 Correct 4 ms 9684 KB Output is correct
7 Correct 4 ms 9684 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 6 ms 10020 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct
12 Correct 5 ms 9912 KB Output is correct
13 Correct 4 ms 9732 KB Output is correct
14 Correct 5 ms 9864 KB Output is correct
15 Correct 4 ms 9684 KB Output is correct
16 Correct 6 ms 9940 KB Output is correct
17 Correct 44 ms 16400 KB Output is correct
18 Correct 41 ms 16340 KB Output is correct
19 Correct 34 ms 16340 KB Output is correct
20 Correct 28 ms 15736 KB Output is correct
21 Correct 31 ms 15708 KB Output is correct
22 Correct 80 ms 21636 KB Output is correct
23 Correct 16 ms 11860 KB Output is correct
24 Correct 39 ms 14736 KB Output is correct
25 Correct 6 ms 9964 KB Output is correct
26 Correct 15 ms 11732 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 4 ms 9684 KB Output is correct
5 Correct 4 ms 9684 KB Output is correct
6 Correct 4 ms 9684 KB Output is correct
7 Correct 4 ms 9684 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 6 ms 10020 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct
12 Correct 5 ms 9912 KB Output is correct
13 Correct 4 ms 9732 KB Output is correct
14 Correct 5 ms 9864 KB Output is correct
15 Correct 4 ms 9684 KB Output is correct
16 Correct 6 ms 9940 KB Output is correct
17 Correct 44 ms 16400 KB Output is correct
18 Correct 41 ms 16340 KB Output is correct
19 Correct 34 ms 16340 KB Output is correct
20 Correct 28 ms 15736 KB Output is correct
21 Correct 31 ms 15708 KB Output is correct
22 Correct 80 ms 21636 KB Output is correct
23 Correct 16 ms 11860 KB Output is correct
24 Correct 39 ms 14736 KB Output is correct
25 Correct 6 ms 9964 KB Output is correct
26 Correct 15 ms 11732 KB Output is correct
27 Correct 7 ms 10580 KB Output is correct
28 Correct 193 ms 37884 KB Output is correct
29 Correct 290 ms 48956 KB Output is correct
30 Correct 413 ms 95052 KB Output is correct
31 Correct 427 ms 94048 KB Output is correct
32 Correct 226 ms 46172 KB Output is correct
33 Correct 439 ms 95192 KB Output is correct
34 Correct 434 ms 95020 KB Output is correct
35 Correct 129 ms 33356 KB Output is correct
36 Correct 408 ms 73684 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 22588 KB Output is correct
2 Correct 33 ms 22584 KB Output is correct
3 Correct 64 ms 26364 KB Output is correct
4 Correct 56 ms 26152 KB Output is correct
5 Correct 101 ms 32104 KB Output is correct
6 Correct 88 ms 31996 KB Output is correct
7 Correct 91 ms 32000 KB Output is correct
8 Correct 92 ms 32044 KB Output is correct
9 Correct 110 ms 41512 KB Output is correct
10 Correct 78 ms 28484 KB Output is correct
11 Correct 160 ms 47348 KB Output is correct
12 Correct 4 ms 9580 KB Output is correct
13 Correct 4 ms 9684 KB Output is correct
14 Correct 4 ms 9684 KB Output is correct
15 Correct 4 ms 9684 KB Output is correct
16 Correct 4 ms 9684 KB Output is correct
17 Correct 4 ms 9684 KB Output is correct
18 Correct 38 ms 22484 KB Output is correct
19 Correct 34 ms 22584 KB Output is correct
20 Correct 33 ms 22504 KB Output is correct
21 Correct 33 ms 22612 KB Output is correct
22 Correct 157 ms 46812 KB Output is correct
23 Correct 218 ms 59556 KB Output is correct
24 Correct 211 ms 61368 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 96 ms 32868 KB Output is correct
2 Correct 116 ms 36476 KB Output is correct
3 Correct 34 ms 22516 KB Output is correct
4 Correct 34 ms 22592 KB Output is correct
5 Correct 367 ms 80628 KB Output is correct
6 Correct 351 ms 96976 KB Output is correct
7 Correct 4 ms 9684 KB Output is correct
8 Correct 187 ms 40456 KB Output is correct
9 Correct 218 ms 45020 KB Output is correct
10 Correct 101 ms 32840 KB Output is correct
11 Correct 116 ms 36396 KB Output is correct
12 Correct 4 ms 9684 KB Output is correct
13 Correct 4 ms 9684 KB Output is correct
14 Correct 4 ms 9684 KB Output is correct
15 Correct 4 ms 9684 KB Output is correct
16 Correct 41 ms 22620 KB Output is correct
17 Correct 34 ms 22540 KB Output is correct
18 Correct 123 ms 36744 KB Output is correct
19 Correct 149 ms 41128 KB Output is correct
20 Correct 119 ms 35240 KB Output is correct
21 Correct 121 ms 33184 KB Output is correct
22 Correct 123 ms 35132 KB Output is correct
23 Correct 129 ms 37672 KB Output is correct
24 Correct 34 ms 22588 KB Output is correct
25 Correct 33 ms 22584 KB Output is correct
26 Correct 64 ms 26364 KB Output is correct
27 Correct 56 ms 26152 KB Output is correct
28 Correct 101 ms 32104 KB Output is correct
29 Correct 88 ms 31996 KB Output is correct
30 Correct 91 ms 32000 KB Output is correct
31 Correct 92 ms 32044 KB Output is correct
32 Correct 4 ms 9684 KB Output is correct
33 Correct 5 ms 9684 KB Output is correct
34 Correct 4 ms 9684 KB Output is correct
35 Correct 4 ms 9684 KB Output is correct
36 Correct 4 ms 9684 KB Output is correct
37 Correct 4 ms 9684 KB Output is correct
38 Correct 4 ms 9684 KB Output is correct
39 Correct 4 ms 9684 KB Output is correct
40 Correct 5 ms 9684 KB Output is correct
41 Correct 6 ms 10020 KB Output is correct
42 Correct 5 ms 9812 KB Output is correct
43 Correct 5 ms 9912 KB Output is correct
44 Correct 4 ms 9732 KB Output is correct
45 Correct 5 ms 9864 KB Output is correct
46 Correct 4 ms 9684 KB Output is correct
47 Correct 6 ms 9940 KB Output is correct
48 Correct 44 ms 16400 KB Output is correct
49 Correct 41 ms 16340 KB Output is correct
50 Correct 34 ms 16340 KB Output is correct
51 Correct 28 ms 15736 KB Output is correct
52 Correct 31 ms 15708 KB Output is correct
53 Correct 80 ms 21636 KB Output is correct
54 Correct 16 ms 11860 KB Output is correct
55 Correct 39 ms 14736 KB Output is correct
56 Correct 6 ms 9964 KB Output is correct
57 Correct 15 ms 11732 KB Output is correct
58 Correct 7 ms 10580 KB Output is correct
59 Correct 193 ms 37884 KB Output is correct
60 Correct 290 ms 48956 KB Output is correct
61 Correct 413 ms 95052 KB Output is correct
62 Correct 427 ms 94048 KB Output is correct
63 Correct 226 ms 46172 KB Output is correct
64 Correct 439 ms 95192 KB Output is correct
65 Correct 434 ms 95020 KB Output is correct
66 Correct 129 ms 33356 KB Output is correct
67 Correct 408 ms 73684 KB Output is correct
68 Correct 110 ms 41512 KB Output is correct
69 Correct 78 ms 28484 KB Output is correct
70 Correct 160 ms 47348 KB Output is correct
71 Correct 4 ms 9580 KB Output is correct
72 Correct 4 ms 9684 KB Output is correct
73 Correct 4 ms 9684 KB Output is correct
74 Correct 4 ms 9684 KB Output is correct
75 Correct 4 ms 9684 KB Output is correct
76 Correct 4 ms 9684 KB Output is correct
77 Correct 38 ms 22484 KB Output is correct
78 Correct 34 ms 22584 KB Output is correct
79 Correct 33 ms 22504 KB Output is correct
80 Correct 33 ms 22612 KB Output is correct
81 Correct 157 ms 46812 KB Output is correct
82 Correct 218 ms 59556 KB Output is correct
83 Correct 211 ms 61368 KB Output is correct
84 Correct 439 ms 72304 KB Output is correct
85 Correct 443 ms 72420 KB Output is correct
86 Correct 379 ms 94228 KB Output is correct
87 Correct 399 ms 96440 KB Output is correct
88 Correct 4 ms 9684 KB Output is correct
89 Correct 394 ms 96340 KB Output is correct
90 Correct 332 ms 79972 KB Output is correct
91 Correct 241 ms 63908 KB Output is correct