oj.uz

Submission #858846

# Submission time Handle Problem Language Result Execution time Memory
858846 2023-10-09T09:10:11 Z LucaIlie Catfish Farm (IOI22_fish) C++17
100 / 100
 826 ms 279104 KB 
#include "fish.h"
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 3e5 + 2;
const long long INF = 1e18;
unordered_map<int, long long> costCell[MAX_N], spX[MAX_N];
vector<long long> dp[MAX_N], dpLower[MAX_N], maxPref1[MAX_N], maxSuf2[MAX_N], maxPref3[MAX_N];
vector <int> ys[MAX_N];

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]++;
        Y[i]++;
        costCell[X[i]][Y[i]] = W[i];
        ys[X[i] - 1].push_back( Y[i] );
        ys[X[i] + 1].push_back( Y[i] );
    }

    ys[0].clear();
    ys[n + 1].clear();
    for ( int x = 0; x <= n + 1; x++ )
        ys[x].push_back( 0 );
    for ( int x = 0; x <= n + 1; x++ ) {
        sort( ys[x].begin(), ys[x].end() );
        ys[x].resize( unique( ys[x].begin(), ys[x].end() ) - ys[x].begin() );
        dp[x].resize( ys[x].size() );
        dpLower[x].resize( ys[x].size() );
        maxPref1[x].resize( ys[x].size() );
        maxSuf2[x].resize( ys[x].size() );
        maxPref3[x].resize( ys[x].size() );
    }

    for ( int x = 1; x <= n; x++ ) {
        vector<int> yss;
        for ( int i = 0; i < ys[x].size(); i++ )
            yss.push_back( ys[x][i] );
        for ( int i = 0; i < ys[x - 1].size(); i++ )
            yss.push_back( ys[x - 1][i] );
        for ( int i = 0; i < ys[x + 1].size(); i++ )
            yss.push_back( ys[x + 1][i] );
        sort( yss.begin(), yss.end() );
        yss.resize( unique( yss.begin(), yss.end() ) - yss.begin() );
        for ( int i = 1; i < yss.size(); i++ )
            spX[x][yss[i]] = spX[x][yss[i - 1]] + costCell[x][yss[i]];
    }

    dp[0][0] = dpLower[0][0] = 0;
    for ( int x = 1; x <= n + 1; x++ ) {
        int lower1 = 0, upper1 = 0, lower2 = 0, upper2 = 0;
        for ( int i = 0; i < ys[x].size(); i++ ) {
            int crtY = ys[x][i];
            dp[x][i] = dpLower[x][i] = -INF;

            if ( x >= 1 ) {
                while ( lower1 + 1 < ys[x - 1].size() && ys[x - 1][lower1 + 1] <= crtY )
                    lower1++;
                while ( upper1 < ys[x - 1].size() && ys[x - 1][upper1] < crtY )
                    upper1++;

                if ( lower1 >= 0 ) {
                    dpLower[x][i] = max( dpLower[x][i], maxPref1[x - 1][lower1] + spX[x - 1][crtY] );
                    dp[x][i] = max( dp[x][i], maxPref1[x - 1][lower1] + spX[x - 1][crtY] );
                }
                if ( upper1 < ys[x - 1].size() )
                    dp[x][i] = max( dp[x][i], maxSuf2[x - 1][upper1] - spX[x][crtY] );
            }

            if ( x >= 2 ) {
                while ( lower2 + 1 < ys[x - 2].size() && ys[x - 2][lower2 + 1] <= crtY )
                    lower2++;
                while ( upper2 < ys[x - 2].size() && ys[x - 2][upper2] < crtY )
                    upper2++;

                if ( lower2 >= 0 ) {
                    dpLower[x][i] = max( dpLower[x][i], maxPref3[x - 2][lower2] + spX[x - 1][crtY] );
                    dp[x][i] = max( dp[x][i], maxPref3[x - 2][lower2] + spX[x - 1][crtY] );
                }
                if ( upper2 < ys[x - 2].size() ) {
                    dpLower[x][i] = max( dpLower[x][i], maxSuf2[x - 2][upper2] );
                    dp[x][i] = max( dp[x][i], maxSuf2[x - 2][upper2] );
                }
            }

            maxPref1[x][i] = dpLower[x][i] - spX[x][crtY];
            maxSuf2[x][i] = dp[x][i] + spX[x + 1][crtY];
            maxPref3[x][i] = dpLower[x][i];
        }

        for ( int i = 1; i < ys[x].size(); i++ ) {
            maxPref1[x][i] = max( maxPref1[x][i], maxPref1[x][i - 1] );
            maxPref3[x][i] = max( maxPref3[x][i], maxPref3[x][i - 1] );
        }
        for ( int i = ys[x].size() - 2; i >= 0; i-- )
            maxSuf2[x][i] = max( maxSuf2[x][i], maxSuf2[x][i + 1] );
    }

    return dp[n + 1][0];
}

Compilation message

fish.cpp: In function 'long long int max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:38:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   38 |         for ( int i = 0; i < ys[x].size(); i++ )
      |                          ~~^~~~~~~~~~~~~~
fish.cpp:40:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |         for ( int i = 0; i < ys[x - 1].size(); i++ )
      |                          ~~^~~~~~~~~~~~~~~~~~
fish.cpp:42:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   42 |         for ( int i = 0; i < ys[x + 1].size(); i++ )
      |                          ~~^~~~~~~~~~~~~~~~~~
fish.cpp:46:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   46 |         for ( int i = 1; i < yss.size(); i++ )
      |                          ~~^~~~~~~~~~~~
fish.cpp:53:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   53 |         for ( int i = 0; i < ys[x].size(); i++ ) {
      |                          ~~^~~~~~~~~~~~~~
fish.cpp:58:36: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   58 |                 while ( lower1 + 1 < ys[x - 1].size() && ys[x - 1][lower1 + 1] <= crtY )
      |                         ~~~~~~~~~~~^~~~~~~~~~~~~~~~~~
fish.cpp:60:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   60 |                 while ( upper1 < ys[x - 1].size() && ys[x - 1][upper1] < crtY )
      |                         ~~~~~~~^~~~~~~~~~~~~~~~~~
fish.cpp:67:29: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   67 |                 if ( upper1 < ys[x - 1].size() )
      |                      ~~~~~~~^~~~~~~~~~~~~~~~~~
fish.cpp:72:36: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   72 |                 while ( lower2 + 1 < ys[x - 2].size() && ys[x - 2][lower2 + 1] <= crtY )
      |                         ~~~~~~~~~~~^~~~~~~~~~~~~~~~~~
fish.cpp:74:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   74 |                 while ( upper2 < ys[x - 2].size() && ys[x - 2][upper2] < crtY )
      |                         ~~~~~~~^~~~~~~~~~~~~~~~~~
fish.cpp:81:29: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   81 |                 if ( upper2 < ys[x - 2].size() ) {
      |                      ~~~~~~~^~~~~~~~~~~~~~~~~~
fish.cpp:92:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   92 |         for ( int i = 1; i < ys[x].size(); i++ ) {
      |                          ~~^~~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 150 ms 130000 KB Output is correct
2 Correct 180 ms 142392 KB Output is correct
3 Correct 82 ms 108372 KB Output is correct
4 Correct 83 ms 108364 KB Output is correct
5 Correct 620 ms 279104 KB Output is correct
6 Correct 772 ms 263264 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 75392 KB Output is correct
2 Correct 254 ms 154020 KB Output is correct
3 Correct 308 ms 166836 KB Output is correct
4 Correct 145 ms 129984 KB Output is correct
5 Correct 171 ms 142400 KB Output is correct
6 Correct 17 ms 75356 KB Output is correct
7 Correct 17 ms 75564 KB Output is correct
8 Correct 16 ms 75356 KB Output is correct
9 Correct 18 ms 75588 KB Output is correct
10 Correct 80 ms 108356 KB Output is correct
11 Correct 82 ms 108224 KB Output is correct
12 Correct 195 ms 142920 KB Output is correct
13 Correct 219 ms 159640 KB Output is correct
14 Correct 171 ms 136392 KB Output is correct
15 Correct 179 ms 135980 KB Output is correct
16 Correct 168 ms 136532 KB Output is correct
17 Correct 196 ms 147684 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 108336 KB Output is correct
2 Correct 83 ms 108416 KB Output is correct
3 Correct 155 ms 116468 KB Output is correct
4 Correct 131 ms 117812 KB Output is correct
5 Correct 250 ms 127944 KB Output is correct
6 Correct 226 ms 127952 KB Output is correct
7 Correct 225 ms 127904 KB Output is correct
8 Correct 227 ms 128020 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 75352 KB Output is correct
2 Correct 16 ms 75548 KB Output is correct
3 Correct 17 ms 75396 KB Output is correct
4 Correct 17 ms 75588 KB Output is correct
5 Correct 17 ms 75356 KB Output is correct
6 Correct 17 ms 75588 KB Output is correct
7 Correct 17 ms 75356 KB Output is correct
8 Correct 16 ms 75608 KB Output is correct
9 Correct 17 ms 75648 KB Output is correct
10 Correct 18 ms 75868 KB Output is correct
11 Correct 17 ms 75624 KB Output is correct
12 Correct 18 ms 75868 KB Output is correct
13 Correct 17 ms 75612 KB Output is correct
14 Correct 18 ms 75864 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 75352 KB Output is correct
2 Correct 16 ms 75548 KB Output is correct
3 Correct 17 ms 75396 KB Output is correct
4 Correct 17 ms 75588 KB Output is correct
5 Correct 17 ms 75356 KB Output is correct
6 Correct 17 ms 75588 KB Output is correct
7 Correct 17 ms 75356 KB Output is correct
8 Correct 16 ms 75608 KB Output is correct
9 Correct 17 ms 75648 KB Output is correct
10 Correct 18 ms 75868 KB Output is correct
11 Correct 17 ms 75624 KB Output is correct
12 Correct 18 ms 75868 KB Output is correct
13 Correct 17 ms 75612 KB Output is correct
14 Correct 18 ms 75864 KB Output is correct
15 Correct 17 ms 75608 KB Output is correct
16 Correct 19 ms 75864 KB Output is correct
17 Correct 54 ms 85332 KB Output is correct
18 Correct 54 ms 84048 KB Output is correct
19 Correct 51 ms 85072 KB Output is correct
20 Correct 46 ms 83292 KB Output is correct
21 Correct 46 ms 83036 KB Output is correct
22 Correct 80 ms 90560 KB Output is correct
23 Correct 30 ms 79704 KB Output is correct
24 Correct 49 ms 85588 KB Output is correct
25 Correct 18 ms 75904 KB Output is correct
26 Correct 28 ms 78652 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 75352 KB Output is correct
2 Correct 16 ms 75548 KB Output is correct
3 Correct 17 ms 75396 KB Output is correct
4 Correct 17 ms 75588 KB Output is correct
5 Correct 17 ms 75356 KB Output is correct
6 Correct 17 ms 75588 KB Output is correct
7 Correct 17 ms 75356 KB Output is correct
8 Correct 16 ms 75608 KB Output is correct
9 Correct 17 ms 75648 KB Output is correct
10 Correct 18 ms 75868 KB Output is correct
11 Correct 17 ms 75624 KB Output is correct
12 Correct 18 ms 75868 KB Output is correct
13 Correct 17 ms 75612 KB Output is correct
14 Correct 18 ms 75864 KB Output is correct
15 Correct 17 ms 75608 KB Output is correct
16 Correct 19 ms 75864 KB Output is correct
17 Correct 54 ms 85332 KB Output is correct
18 Correct 54 ms 84048 KB Output is correct
19 Correct 51 ms 85072 KB Output is correct
20 Correct 46 ms 83292 KB Output is correct
21 Correct 46 ms 83036 KB Output is correct
22 Correct 80 ms 90560 KB Output is correct
23 Correct 30 ms 79704 KB Output is correct
24 Correct 49 ms 85588 KB Output is correct
25 Correct 18 ms 75904 KB Output is correct
26 Correct 28 ms 78652 KB Output is correct
27 Correct 23 ms 77660 KB Output is correct
28 Correct 195 ms 117784 KB Output is correct
29 Correct 362 ms 162548 KB Output is correct
30 Correct 587 ms 219216 KB Output is correct
31 Correct 537 ms 216800 KB Output is correct
32 Correct 245 ms 127100 KB Output is correct
33 Correct 577 ms 222804 KB Output is correct
34 Correct 563 ms 222712 KB Output is correct
35 Correct 158 ms 114772 KB Output is correct
36 Correct 492 ms 191760 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 108336 KB Output is correct
2 Correct 83 ms 108416 KB Output is correct
3 Correct 155 ms 116468 KB Output is correct
4 Correct 131 ms 117812 KB Output is correct
5 Correct 250 ms 127944 KB Output is correct
6 Correct 226 ms 127952 KB Output is correct
7 Correct 225 ms 127904 KB Output is correct
8 Correct 227 ms 128020 KB Output is correct
9 Correct 285 ms 152916 KB Output is correct
10 Correct 144 ms 106968 KB Output is correct
11 Correct 305 ms 138324 KB Output is correct
12 Correct 16 ms 75352 KB Output is correct
13 Correct 18 ms 75356 KB Output is correct
14 Correct 16 ms 75592 KB Output is correct
15 Correct 18 ms 75352 KB Output is correct
16 Correct 17 ms 75356 KB Output is correct
17 Correct 17 ms 75356 KB Output is correct
18 Correct 89 ms 108280 KB Output is correct
19 Correct 81 ms 108368 KB Output is correct
20 Correct 83 ms 108372 KB Output is correct
21 Correct 83 ms 108292 KB Output is correct
22 Correct 301 ms 155596 KB Output is correct
23 Correct 358 ms 164448 KB Output is correct
24 Correct 390 ms 171092 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 150 ms 130000 KB Output is correct
2 Correct 180 ms 142392 KB Output is correct
3 Correct 82 ms 108372 KB Output is correct
4 Correct 83 ms 108364 KB Output is correct
5 Correct 620 ms 279104 KB Output is correct
6 Correct 772 ms 263264 KB Output is correct
7 Correct 17 ms 75392 KB Output is correct
8 Correct 254 ms 154020 KB Output is correct
9 Correct 308 ms 166836 KB Output is correct
10 Correct 145 ms 129984 KB Output is correct
11 Correct 171 ms 142400 KB Output is correct
12 Correct 17 ms 75356 KB Output is correct
13 Correct 17 ms 75564 KB Output is correct
14 Correct 16 ms 75356 KB Output is correct
15 Correct 18 ms 75588 KB Output is correct
16 Correct 80 ms 108356 KB Output is correct
17 Correct 82 ms 108224 KB Output is correct
18 Correct 195 ms 142920 KB Output is correct
19 Correct 219 ms 159640 KB Output is correct
20 Correct 171 ms 136392 KB Output is correct
21 Correct 179 ms 135980 KB Output is correct
22 Correct 168 ms 136532 KB Output is correct
23 Correct 196 ms 147684 KB Output is correct
24 Correct 80 ms 108336 KB Output is correct
25 Correct 83 ms 108416 KB Output is correct
26 Correct 155 ms 116468 KB Output is correct
27 Correct 131 ms 117812 KB Output is correct
28 Correct 250 ms 127944 KB Output is correct
29 Correct 226 ms 127952 KB Output is correct
30 Correct 225 ms 127904 KB Output is correct
31 Correct 227 ms 128020 KB Output is correct
32 Correct 17 ms 75352 KB Output is correct
33 Correct 16 ms 75548 KB Output is correct
34 Correct 17 ms 75396 KB Output is correct
35 Correct 17 ms 75588 KB Output is correct
36 Correct 17 ms 75356 KB Output is correct
37 Correct 17 ms 75588 KB Output is correct
38 Correct 17 ms 75356 KB Output is correct
39 Correct 16 ms 75608 KB Output is correct
40 Correct 17 ms 75648 KB Output is correct
41 Correct 18 ms 75868 KB Output is correct
42 Correct 17 ms 75624 KB Output is correct
43 Correct 18 ms 75868 KB Output is correct
44 Correct 17 ms 75612 KB Output is correct
45 Correct 18 ms 75864 KB Output is correct
46 Correct 17 ms 75608 KB Output is correct
47 Correct 19 ms 75864 KB Output is correct
48 Correct 54 ms 85332 KB Output is correct
49 Correct 54 ms 84048 KB Output is correct
50 Correct 51 ms 85072 KB Output is correct
51 Correct 46 ms 83292 KB Output is correct
52 Correct 46 ms 83036 KB Output is correct
53 Correct 80 ms 90560 KB Output is correct
54 Correct 30 ms 79704 KB Output is correct
55 Correct 49 ms 85588 KB Output is correct
56 Correct 18 ms 75904 KB Output is correct
57 Correct 28 ms 78652 KB Output is correct
58 Correct 23 ms 77660 KB Output is correct
59 Correct 195 ms 117784 KB Output is correct
60 Correct 362 ms 162548 KB Output is correct
61 Correct 587 ms 219216 KB Output is correct
62 Correct 537 ms 216800 KB Output is correct
63 Correct 245 ms 127100 KB Output is correct
64 Correct 577 ms 222804 KB Output is correct
65 Correct 563 ms 222712 KB Output is correct
66 Correct 158 ms 114772 KB Output is correct
67 Correct 492 ms 191760 KB Output is correct
68 Correct 285 ms 152916 KB Output is correct
69 Correct 144 ms 106968 KB Output is correct
70 Correct 305 ms 138324 KB Output is correct
71 Correct 16 ms 75352 KB Output is correct
72 Correct 18 ms 75356 KB Output is correct
73 Correct 16 ms 75592 KB Output is correct
74 Correct 18 ms 75352 KB Output is correct
75 Correct 17 ms 75356 KB Output is correct
76 Correct 17 ms 75356 KB Output is correct
77 Correct 89 ms 108280 KB Output is correct
78 Correct 81 ms 108368 KB Output is correct
79 Correct 83 ms 108372 KB Output is correct
80 Correct 83 ms 108292 KB Output is correct
81 Correct 301 ms 155596 KB Output is correct
82 Correct 358 ms 164448 KB Output is correct
83 Correct 390 ms 171092 KB Output is correct
84 Correct 626 ms 247984 KB Output is correct
85 Correct 637 ms 245260 KB Output is correct
86 Correct 796 ms 262100 KB Output is correct
87 Correct 826 ms 264020 KB Output is correct
88 Correct 17 ms 75356 KB Output is correct
89 Correct 823 ms 264056 KB Output is correct
90 Correct 625 ms 211536 KB Output is correct
91 Correct 383 ms 170708 KB Output is correct