Submission #630194

# Submission time Handle Problem Language Result Execution time Memory
630194 2022-08-15T23:36:03 Z ffao Catfish Farm (IOI22_fish) C++17
100 / 100
523 ms 81824 KB
#include "fish.h"

using namespace std;
#include <vector>
#include <algorithm>

long long max_weights(int N, int M, std::vector<int> X, std::vector<int> Y, std::vector<int> W) {
    vector< vector<int> > Ys_per_col(N);
    
    vector<long long> colsum(N);
    for (int i = 0; i < M; i++) colsum[X[i]] += W[i];
    
    auto find = [&](int x, int y){ return (upper_bound(Ys_per_col[x].begin(), Ys_per_col[x].end(), y) - Ys_per_col[x].begin()) - 1; };
    
    for (int i = 0; i < M; i++) { X.push_back(X[i]); Y.push_back(Y[i]+1); W.push_back(0); }
    for (int i = 0; i < N; i++) { X.push_back(i); Y.push_back(-1); W.push_back(0); }
    for (int i = 0; i < N; i++) { X.push_back(i); Y.push_back(N); W.push_back(0); }
    for (int i = 0; i < X.size(); i++) {
        Ys_per_col[X[i]].push_back(Y[i]);
        if (X[i] > 0) Ys_per_col[X[i]-1].push_back(Y[i]);
        if (X[i]+1 < N) Ys_per_col[X[i]+1].push_back(Y[i]);
    }
    
    for (int i = 0; i < N; i++) {
        sort(Ys_per_col[i].begin(), Ys_per_col[i].end());
        Ys_per_col[i].erase( unique(Ys_per_col[i].begin(), Ys_per_col[i].end()), Ys_per_col[i].end());
    }
    
    vector< vector<int> > WW(N);
    for (int i = 0; i < N; i++) WW[i].resize(Ys_per_col[i].size());
    for (int i = 0; i < M; i++) {
        int idx = find(X[i], Y[i]);
        WW[X[i]][idx] = max(WW[X[i]][idx], W[i]);
    }
    
    vector< vector<long long> > dp[2];
    for (int i = 0; i < 2; i++) {
        dp[i].resize(N);
        for (int j = 0; j < N; j++) dp[i][j].resize(Ys_per_col[j].size());
    }
    
    long long ans = 0;    
    for (int i = 1; i < N; i++) {
        if (i >= 2) dp[0][i][0] = dp[1][i-2][0];
        if (i >= 2) dp[0][i][ Ys_per_col[i].size() - 1 ] = dp[0][i-2][ Ys_per_col[i-2].size() - 1 ] + colsum[i-1];
        
        for (int j = 1; j < (int)Ys_per_col[i].size(); j++) {
            //cout << "setting " << i << " " << j << " val=" << Ys_per_col[i][j] << " idx=" << find(i-1, Ys_per_col[i][j]) << endl;
            dp[0][i][j] = max(dp[0][i][j], dp[0][i][j-1] + WW[i-1][ find(i-1, Ys_per_col[i][j-1]) ]);
            dp[0][i][j] = max(dp[0][i][j], dp[0][i-1][ find(i-1, Ys_per_col[i][j]) ]);
        }
        
        dp[1][i][ Ys_per_col[i].size() - 1 ] = dp[0][i-1][ Ys_per_col[i-1].size() - 1 ];
        for (int j = (int)Ys_per_col[i].size() - 2; j >= 0; j--) {
            dp[1][i][j] = dp[1][i][j+1] + WW[i][j]; 
            dp[1][i][j] = max( dp[1][i][j], dp[1][i-1][ find(i-1, Ys_per_col[i][j] - 1) + 1 ]);
        }
        
        for (int j = 0; j < (int)Ys_per_col[i].size(); j++) {
            ans = max(ans, dp[0][i][j]);
            ans = max(ans, dp[1][i][j]);
        }
    }
    
    /*for (int k = 0; k < 2; k++) {
        for (int i = 1; i < N; i++) {
            for (int j = 0; j < (int)Ys_per_col[i].size(); j++) {
                cout << "dp[" << k << "][" << i << "][" << j << "] = " << dp[k][i][j] << " (" << i << ", " << Ys_per_col[i][j] << ")" << endl;
            }
        }
    }*/
    
    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:18:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   18 |     for (int i = 0; i < X.size(); i++) {
      |                     ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 120 ms 32064 KB Output is correct
2 Correct 144 ms 36040 KB Output is correct
3 Correct 49 ms 26804 KB Output is correct
4 Correct 48 ms 26840 KB Output is correct
5 Correct 439 ms 65420 KB Output is correct
6 Correct 404 ms 81824 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 213 ms 38644 KB Output is correct
3 Correct 240 ms 44240 KB Output is correct
4 Correct 120 ms 32136 KB Output is correct
5 Correct 135 ms 36220 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 47 ms 26812 KB Output is correct
11 Correct 49 ms 26856 KB Output is correct
12 Correct 141 ms 34920 KB Output is correct
13 Correct 176 ms 39232 KB Output is correct
14 Correct 133 ms 33492 KB Output is correct
15 Correct 141 ms 35216 KB Output is correct
16 Correct 131 ms 33520 KB Output is correct
17 Correct 156 ms 37172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 48 ms 26804 KB Output is correct
2 Correct 48 ms 26884 KB Output is correct
3 Correct 86 ms 30188 KB Output is correct
4 Correct 87 ms 31076 KB Output is correct
5 Correct 136 ms 37136 KB Output is correct
6 Correct 128 ms 37316 KB Output is correct
7 Correct 131 ms 37400 KB Output is correct
8 Correct 135 ms 37344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 37 ms 4736 KB Output is correct
18 Correct 38 ms 4416 KB Output is correct
19 Correct 34 ms 4280 KB Output is correct
20 Correct 33 ms 4200 KB Output is correct
21 Correct 31 ms 4188 KB Output is correct
22 Correct 65 ms 7812 KB Output is correct
23 Correct 13 ms 1736 KB Output is correct
24 Correct 30 ms 4504 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 10 ms 1556 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 37 ms 4736 KB Output is correct
18 Correct 38 ms 4416 KB Output is correct
19 Correct 34 ms 4280 KB Output is correct
20 Correct 33 ms 4200 KB Output is correct
21 Correct 31 ms 4188 KB Output is correct
22 Correct 65 ms 7812 KB Output is correct
23 Correct 13 ms 1736 KB Output is correct
24 Correct 30 ms 4504 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 10 ms 1556 KB Output is correct
27 Correct 3 ms 1492 KB Output is correct
28 Correct 174 ms 19500 KB Output is correct
29 Correct 309 ms 30488 KB Output is correct
30 Correct 355 ms 54348 KB Output is correct
31 Correct 362 ms 53780 KB Output is correct
32 Correct 230 ms 25888 KB Output is correct
33 Correct 379 ms 56336 KB Output is correct
34 Correct 387 ms 56468 KB Output is correct
35 Correct 94 ms 15868 KB Output is correct
36 Correct 318 ms 42624 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 48 ms 26804 KB Output is correct
2 Correct 48 ms 26884 KB Output is correct
3 Correct 86 ms 30188 KB Output is correct
4 Correct 87 ms 31076 KB Output is correct
5 Correct 136 ms 37136 KB Output is correct
6 Correct 128 ms 37316 KB Output is correct
7 Correct 131 ms 37400 KB Output is correct
8 Correct 135 ms 37344 KB Output is correct
9 Correct 163 ms 40492 KB Output is correct
10 Correct 104 ms 23676 KB Output is correct
11 Correct 216 ms 46924 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 47 ms 26804 KB Output is correct
19 Correct 47 ms 26868 KB Output is correct
20 Correct 48 ms 26804 KB Output is correct
21 Correct 47 ms 26892 KB Output is correct
22 Correct 223 ms 44248 KB Output is correct
23 Correct 259 ms 51724 KB Output is correct
24 Correct 247 ms 51980 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 120 ms 32064 KB Output is correct
2 Correct 144 ms 36040 KB Output is correct
3 Correct 49 ms 26804 KB Output is correct
4 Correct 48 ms 26840 KB Output is correct
5 Correct 439 ms 65420 KB Output is correct
6 Correct 404 ms 81824 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 213 ms 38644 KB Output is correct
9 Correct 240 ms 44240 KB Output is correct
10 Correct 120 ms 32136 KB Output is correct
11 Correct 135 ms 36220 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 47 ms 26812 KB Output is correct
17 Correct 49 ms 26856 KB Output is correct
18 Correct 141 ms 34920 KB Output is correct
19 Correct 176 ms 39232 KB Output is correct
20 Correct 133 ms 33492 KB Output is correct
21 Correct 141 ms 35216 KB Output is correct
22 Correct 131 ms 33520 KB Output is correct
23 Correct 156 ms 37172 KB Output is correct
24 Correct 48 ms 26804 KB Output is correct
25 Correct 48 ms 26884 KB Output is correct
26 Correct 86 ms 30188 KB Output is correct
27 Correct 87 ms 31076 KB Output is correct
28 Correct 136 ms 37136 KB Output is correct
29 Correct 128 ms 37316 KB Output is correct
30 Correct 131 ms 37400 KB Output is correct
31 Correct 135 ms 37344 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 2 ms 468 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 468 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 2 ms 468 KB Output is correct
48 Correct 37 ms 4736 KB Output is correct
49 Correct 38 ms 4416 KB Output is correct
50 Correct 34 ms 4280 KB Output is correct
51 Correct 33 ms 4200 KB Output is correct
52 Correct 31 ms 4188 KB Output is correct
53 Correct 65 ms 7812 KB Output is correct
54 Correct 13 ms 1736 KB Output is correct
55 Correct 30 ms 4504 KB Output is correct
56 Correct 1 ms 468 KB Output is correct
57 Correct 10 ms 1556 KB Output is correct
58 Correct 3 ms 1492 KB Output is correct
59 Correct 174 ms 19500 KB Output is correct
60 Correct 309 ms 30488 KB Output is correct
61 Correct 355 ms 54348 KB Output is correct
62 Correct 362 ms 53780 KB Output is correct
63 Correct 230 ms 25888 KB Output is correct
64 Correct 379 ms 56336 KB Output is correct
65 Correct 387 ms 56468 KB Output is correct
66 Correct 94 ms 15868 KB Output is correct
67 Correct 318 ms 42624 KB Output is correct
68 Correct 163 ms 40492 KB Output is correct
69 Correct 104 ms 23676 KB Output is correct
70 Correct 216 ms 46924 KB Output is correct
71 Correct 0 ms 212 KB Output is correct
72 Correct 1 ms 212 KB Output is correct
73 Correct 0 ms 212 KB Output is correct
74 Correct 0 ms 212 KB Output is correct
75 Correct 0 ms 212 KB Output is correct
76 Correct 0 ms 212 KB Output is correct
77 Correct 47 ms 26804 KB Output is correct
78 Correct 47 ms 26868 KB Output is correct
79 Correct 48 ms 26804 KB Output is correct
80 Correct 47 ms 26892 KB Output is correct
81 Correct 223 ms 44248 KB Output is correct
82 Correct 259 ms 51724 KB Output is correct
83 Correct 247 ms 51980 KB Output is correct
84 Correct 496 ms 68256 KB Output is correct
85 Correct 523 ms 69772 KB Output is correct
86 Correct 396 ms 78368 KB Output is correct
87 Correct 400 ms 81556 KB Output is correct
88 Correct 0 ms 212 KB Output is correct
89 Correct 395 ms 81500 KB Output is correct
90 Correct 343 ms 64956 KB Output is correct
91 Correct 263 ms 55164 KB Output is correct