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Submission #682401

# Submission time Handle Problem Language Result Execution time Memory
682401 2023-01-16T08:07:46 Z sharaelong Catfish Farm (IOI22_fish) C++17
100 / 100
 318 ms 76584 KB 
#include "fish.h"

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;

const int MAX_N = 3e5 + 1;

vector<ll> dp[MAX_N];
vector<ll> up[MAX_N];
vector<ll> down[MAX_N];
vector<ll> sum[MAX_N];
vector<int> h[MAX_N];

// f(rom), j'th block of x=i place
ll ps(int i, int j, int f) {
    int H = h[i][j] - 1;
    int idx = upper_bound(h[f].begin(), h[f].end(), H) - h[f].begin();
    // cout << "ps: " << i << ' ' << j << ' ' << f << ' ' << sum[f][idx] << endl;
    return sum[f][idx];
}

// ub() is minimum exceeding h
int ub(int i, int j, int f) {
    int H = h[i][j];
    int idx = upper_bound(h[f].begin(), h[f].end(), H) - h[f].begin();
    // cout << "ub: " << i << ' ' << j << ' ' << f << ' ' << idx << endl;
    return idx;
}

ll max_weights(int n, int m, vector<int> X, vector<int> Y, vector<int> W) {
    for (int i=0; i<m; ++i) h[X[i]].push_back(Y[i]);
    for (int i=0; i<n; ++i) {
        h[i].push_back(n);
        sort(h[i].begin(), h[i].end());
        int sz = h[i].size() + 1;
        dp[i].resize(sz, 0);
        up[i].resize(sz, 0);
        down[i].resize(sz, 0);
        sum[i].resize(sz, 0);
    }
    
    for (int i=0; i<m; ++i) {
        int y = lower_bound(h[X[i]].begin(), h[X[i]].end(), Y[i]) - h[X[i]].begin() + 1;
        sum[X[i]][y] = W[i];
    }
    for (int i=0; i<n; ++i) {
        for (int j=1; j<h[i].size(); ++j) {
            sum[i][j] += sum[i][j-1];
        }
    }

    // i = 1
    {
        int N = h[1].size(), n1 = h[0].size();
        vector<ll> ps1(n1+1, 0), ps2(n1);
        ps2[0] = up[0][0];
        for (int j=n1-1; j>=0; --j) ps1[j] = max(ps1[j+1], dp[0][j] + ps(0, j, 1));
        for (int j=1; j<n1; ++j) ps2[j] = max(ps2[j-1], up[0][j] - sum[0][j]);
        
        for (int j=0; j<N; ++j) {
            down[1][j] = ps1[ub(1, j, 0)] - sum[1][j];
            if (ub(1, j, 0) > 0) up[1][j] = ps2[ub(1, j, 0)-1] + ps(1, j, 0);
            dp[1][j] = max(down[1][j], up[1][j]);
            // cout << j << ' ' << down[1][j] << ' ' << up[1][j] << endl;
        }
    }
    for (int i=2; i<n; ++i) {
        int N = h[i].size(), n1 = h[i-1].size(), n2 = h[i-2].size();
        vector<ll> ps1(n1+1, 0), ps2(n1), ps3(n2), ps4(n2+1, 0);
        ps2[0] = up[i-1][0];
        ps3[0] = dp[i-2][0];
        for (int j=n1-1; j>=0; --j) ps1[j] = max(ps1[j+1], dp[i-1][j] + ps(i-1, j, i));
        for (int j=1; j<n1; ++j) ps2[j] = max(ps2[j-1], up[i-1][j] - sum[i-1][j]);
        for (int j=1; j<n2; ++j) ps3[j] = max(ps3[j-1], dp[i-2][j]);
        for (int j=n2-1; j>=0; --j) ps4[j] = max(ps4[j+1], dp[i-2][j] + ps(i-2, j, i-1));
        
        for (int j=0; j<N; ++j) {
            down[i][j] = ps1[ub(i, j, i-1)] - sum[i][j];
            up[i][j] = ps4[ub(i, j, i-2)];
            if (ub(i, j, i-1) > 0) up[i][j] = max(up[i][j], ps2[ub(i, j, i-1)-1] + ps(i, j, i-1));
            if (ub(i, j, i-2) > 0) up[i][j] = max(up[i][j], ps3[ub(i, j, i-2)-1] + ps(i, j, i-1));
            dp[i][j] = max(down[i][j], up[i][j]);
        }
    }

    ll ans = *max_element(dp[n-1].begin(), dp[n-1].end());
    return ans;
}

Compilation message

fish.cpp: In function 'll max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:49:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   49 |         for (int j=1; j<h[i].size(); ++j) {
      |                       ~^~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 55556 KB Output is correct
2 Correct 121 ms 60344 KB Output is correct
3 Correct 61 ms 51164 KB Output is correct
4 Correct 64 ms 51044 KB Output is correct
5 Correct 232 ms 76584 KB Output is correct
6 Correct 260 ms 74576 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35412 KB Output is correct
2 Correct 158 ms 64412 KB Output is correct
3 Correct 190 ms 69584 KB Output is correct
4 Correct 98 ms 56936 KB Output is correct
5 Correct 110 ms 60360 KB Output is correct
6 Correct 19 ms 35508 KB Output is correct
7 Correct 18 ms 35504 KB Output is correct
8 Correct 19 ms 35412 KB Output is correct
9 Correct 19 ms 35412 KB Output is correct
10 Correct 63 ms 51244 KB Output is correct
11 Correct 60 ms 51160 KB Output is correct
12 Correct 120 ms 57036 KB Output is correct
13 Correct 112 ms 60352 KB Output is correct
14 Correct 120 ms 57004 KB Output is correct
15 Correct 118 ms 59516 KB Output is correct
16 Correct 100 ms 57080 KB Output is correct
17 Correct 109 ms 59412 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 51156 KB Output is correct
2 Correct 76 ms 51132 KB Output is correct
3 Correct 95 ms 51928 KB Output is correct
4 Correct 78 ms 52664 KB Output is correct
5 Correct 122 ms 55112 KB Output is correct
6 Correct 115 ms 54480 KB Output is correct
7 Correct 128 ms 55080 KB Output is correct
8 Correct 130 ms 55028 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35524 KB Output is correct
2 Correct 19 ms 35528 KB Output is correct
3 Correct 18 ms 35460 KB Output is correct
4 Correct 20 ms 35532 KB Output is correct
5 Correct 21 ms 35412 KB Output is correct
6 Correct 17 ms 35412 KB Output is correct
7 Correct 17 ms 35428 KB Output is correct
8 Correct 20 ms 35488 KB Output is correct
9 Correct 19 ms 35564 KB Output is correct
10 Correct 20 ms 35628 KB Output is correct
11 Correct 20 ms 35552 KB Output is correct
12 Correct 19 ms 35540 KB Output is correct
13 Correct 18 ms 35520 KB Output is correct
14 Correct 19 ms 35540 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35524 KB Output is correct
2 Correct 19 ms 35528 KB Output is correct
3 Correct 18 ms 35460 KB Output is correct
4 Correct 20 ms 35532 KB Output is correct
5 Correct 21 ms 35412 KB Output is correct
6 Correct 17 ms 35412 KB Output is correct
7 Correct 17 ms 35428 KB Output is correct
8 Correct 20 ms 35488 KB Output is correct
9 Correct 19 ms 35564 KB Output is correct
10 Correct 20 ms 35628 KB Output is correct
11 Correct 20 ms 35552 KB Output is correct
12 Correct 19 ms 35540 KB Output is correct
13 Correct 18 ms 35520 KB Output is correct
14 Correct 19 ms 35540 KB Output is correct
15 Correct 19 ms 35488 KB Output is correct
16 Correct 20 ms 35652 KB Output is correct
17 Correct 62 ms 38988 KB Output is correct
18 Correct 55 ms 39136 KB Output is correct
19 Correct 47 ms 39112 KB Output is correct
20 Correct 44 ms 39072 KB Output is correct
21 Correct 50 ms 39108 KB Output is correct
22 Correct 77 ms 42688 KB Output is correct
23 Correct 23 ms 36168 KB Output is correct
24 Correct 37 ms 37892 KB Output is correct
25 Correct 18 ms 35540 KB Output is correct
26 Correct 32 ms 36144 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 35524 KB Output is correct
2 Correct 19 ms 35528 KB Output is correct
3 Correct 18 ms 35460 KB Output is correct
4 Correct 20 ms 35532 KB Output is correct
5 Correct 21 ms 35412 KB Output is correct
6 Correct 17 ms 35412 KB Output is correct
7 Correct 17 ms 35428 KB Output is correct
8 Correct 20 ms 35488 KB Output is correct
9 Correct 19 ms 35564 KB Output is correct
10 Correct 20 ms 35628 KB Output is correct
11 Correct 20 ms 35552 KB Output is correct
12 Correct 19 ms 35540 KB Output is correct
13 Correct 18 ms 35520 KB Output is correct
14 Correct 19 ms 35540 KB Output is correct
15 Correct 19 ms 35488 KB Output is correct
16 Correct 20 ms 35652 KB Output is correct
17 Correct 62 ms 38988 KB Output is correct
18 Correct 55 ms 39136 KB Output is correct
19 Correct 47 ms 39112 KB Output is correct
20 Correct 44 ms 39072 KB Output is correct
21 Correct 50 ms 39108 KB Output is correct
22 Correct 77 ms 42688 KB Output is correct
23 Correct 23 ms 36168 KB Output is correct
24 Correct 37 ms 37892 KB Output is correct
25 Correct 18 ms 35540 KB Output is correct
26 Correct 32 ms 36144 KB Output is correct
27 Correct 22 ms 35996 KB Output is correct
28 Correct 196 ms 52804 KB Output is correct
29 Correct 251 ms 59820 KB Output is correct
30 Correct 233 ms 59640 KB Output is correct
31 Correct 219 ms 59700 KB Output is correct
32 Correct 258 ms 59600 KB Output is correct
33 Correct 265 ms 59720 KB Output is correct
34 Correct 245 ms 59756 KB Output is correct
35 Correct 107 ms 44944 KB Output is correct
36 Correct 258 ms 59756 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 51156 KB Output is correct
2 Correct 76 ms 51132 KB Output is correct
3 Correct 95 ms 51928 KB Output is correct
4 Correct 78 ms 52664 KB Output is correct
5 Correct 122 ms 55112 KB Output is correct
6 Correct 115 ms 54480 KB Output is correct
7 Correct 128 ms 55080 KB Output is correct
8 Correct 130 ms 55028 KB Output is correct
9 Correct 123 ms 54856 KB Output is correct
10 Correct 93 ms 50504 KB Output is correct
11 Correct 197 ms 65520 KB Output is correct
12 Correct 19 ms 35412 KB Output is correct
13 Correct 19 ms 35520 KB Output is correct
14 Correct 18 ms 35412 KB Output is correct
15 Correct 20 ms 35408 KB Output is correct
16 Correct 19 ms 35476 KB Output is correct
17 Correct 19 ms 35412 KB Output is correct
18 Correct 77 ms 51160 KB Output is correct
19 Correct 64 ms 51168 KB Output is correct
20 Correct 67 ms 51164 KB Output is correct
21 Correct 57 ms 51160 KB Output is correct
22 Correct 150 ms 57796 KB Output is correct
23 Correct 235 ms 65636 KB Output is correct
24 Correct 174 ms 66124 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 55556 KB Output is correct
2 Correct 121 ms 60344 KB Output is correct
3 Correct 61 ms 51164 KB Output is correct
4 Correct 64 ms 51044 KB Output is correct
5 Correct 232 ms 76584 KB Output is correct
6 Correct 260 ms 74576 KB Output is correct
7 Correct 19 ms 35412 KB Output is correct
8 Correct 158 ms 64412 KB Output is correct
9 Correct 190 ms 69584 KB Output is correct
10 Correct 98 ms 56936 KB Output is correct
11 Correct 110 ms 60360 KB Output is correct
12 Correct 19 ms 35508 KB Output is correct
13 Correct 18 ms 35504 KB Output is correct
14 Correct 19 ms 35412 KB Output is correct
15 Correct 19 ms 35412 KB Output is correct
16 Correct 63 ms 51244 KB Output is correct
17 Correct 60 ms 51160 KB Output is correct
18 Correct 120 ms 57036 KB Output is correct
19 Correct 112 ms 60352 KB Output is correct
20 Correct 120 ms 57004 KB Output is correct
21 Correct 118 ms 59516 KB Output is correct
22 Correct 100 ms 57080 KB Output is correct
23 Correct 109 ms 59412 KB Output is correct
24 Correct 63 ms 51156 KB Output is correct
25 Correct 76 ms 51132 KB Output is correct
26 Correct 95 ms 51928 KB Output is correct
27 Correct 78 ms 52664 KB Output is correct
28 Correct 122 ms 55112 KB Output is correct
29 Correct 115 ms 54480 KB Output is correct
30 Correct 128 ms 55080 KB Output is correct
31 Correct 130 ms 55028 KB Output is correct
32 Correct 19 ms 35524 KB Output is correct
33 Correct 19 ms 35528 KB Output is correct
34 Correct 18 ms 35460 KB Output is correct
35 Correct 20 ms 35532 KB Output is correct
36 Correct 21 ms 35412 KB Output is correct
37 Correct 17 ms 35412 KB Output is correct
38 Correct 17 ms 35428 KB Output is correct
39 Correct 20 ms 35488 KB Output is correct
40 Correct 19 ms 35564 KB Output is correct
41 Correct 20 ms 35628 KB Output is correct
42 Correct 20 ms 35552 KB Output is correct
43 Correct 19 ms 35540 KB Output is correct
44 Correct 18 ms 35520 KB Output is correct
45 Correct 19 ms 35540 KB Output is correct
46 Correct 19 ms 35488 KB Output is correct
47 Correct 20 ms 35652 KB Output is correct
48 Correct 62 ms 38988 KB Output is correct
49 Correct 55 ms 39136 KB Output is correct
50 Correct 47 ms 39112 KB Output is correct
51 Correct 44 ms 39072 KB Output is correct
52 Correct 50 ms 39108 KB Output is correct
53 Correct 77 ms 42688 KB Output is correct
54 Correct 23 ms 36168 KB Output is correct
55 Correct 37 ms 37892 KB Output is correct
56 Correct 18 ms 35540 KB Output is correct
57 Correct 32 ms 36144 KB Output is correct
58 Correct 22 ms 35996 KB Output is correct
59 Correct 196 ms 52804 KB Output is correct
60 Correct 251 ms 59820 KB Output is correct
61 Correct 233 ms 59640 KB Output is correct
62 Correct 219 ms 59700 KB Output is correct
63 Correct 258 ms 59600 KB Output is correct
64 Correct 265 ms 59720 KB Output is correct
65 Correct 245 ms 59756 KB Output is correct
66 Correct 107 ms 44944 KB Output is correct
67 Correct 258 ms 59756 KB Output is correct
68 Correct 123 ms 54856 KB Output is correct
69 Correct 93 ms 50504 KB Output is correct
70 Correct 197 ms 65520 KB Output is correct
71 Correct 19 ms 35412 KB Output is correct
72 Correct 19 ms 35520 KB Output is correct
73 Correct 18 ms 35412 KB Output is correct
74 Correct 20 ms 35408 KB Output is correct
75 Correct 19 ms 35476 KB Output is correct
76 Correct 19 ms 35412 KB Output is correct
77 Correct 77 ms 51160 KB Output is correct
78 Correct 64 ms 51168 KB Output is correct
79 Correct 67 ms 51164 KB Output is correct
80 Correct 57 ms 51160 KB Output is correct
81 Correct 150 ms 57796 KB Output is correct
82 Correct 235 ms 65636 KB Output is correct
83 Correct 174 ms 66124 KB Output is correct
84 Correct 296 ms 74240 KB Output is correct
85 Correct 318 ms 75320 KB Output is correct
86 Correct 245 ms 71416 KB Output is correct
87 Correct 260 ms 72908 KB Output is correct
88 Correct 20 ms 35448 KB Output is correct
89 Correct 254 ms 72960 KB Output is correct
90 Correct 241 ms 73380 KB Output is correct
91 Correct 242 ms 73904 KB Output is correct