oj.uz

Submission #626202

# Submission time Handle Problem Language Result Execution time Memory
626202 2022-08-11T09:48:33 Z mraron Catfish Farm (IOI22_fish) C++17
100 / 100
 231 ms 19840 KB 
#include "fish.h"

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

using ll = long long ;

#define sz(x) (int)(x).size()
#define xx first
#define yy second

//dp0[i][j] -> i. oszlopban j-ig elé építve piert max hogyha mindkettő szomszédosnál magasabb
//dp1[i][j] -> i. oszlopban j-ig elé építve piert max hogyha bal oldali számít
//dp2[i][j] -> i. oszlopban j-ig elé építve piert max hogyha jobb oldali számít


long long max_weights(int N, int M, std::vector<int> X, std::vector<int> Y,
                      std::vector<int> W) {
    vector<vector<pair<int,ll>>> lst(N+2, vector<pair<int,ll>>());
    for(int i=0;i<M;++i) {
        lst[X[i]].push_back({Y[i], W[i]});
    }

    for(int i=0;i<=N+1;++i) lst[i].push_back({N+10,0});
    for(auto& i:lst) sort(i.begin(), i.end());
    for(auto& i:lst) 
        for(int j=1;j<sz(i);++j) i[j].yy+=i[j-1].yy;
    
    auto get_bal=[&](int x, int l) -> ll {
          auto itL=lower_bound(lst[x].begin(), lst[x].end(), make_pair(l, 0LL));
          return (itL==lst[x].begin()?0:prev(itL)->yy);
    };
    
    auto get_jobb=[&](int x, int r) -> ll {
          auto itR=lower_bound(lst[x].begin(), lst[x].end(), make_pair(r+1, 0LL));
          return (itR==lst[x].begin()?0:prev(itR)->yy);
    };
    
    auto get_sum=[&](int x, int l, int r) -> ll {
        if(l>r) return 0;
        //~ ll sum=0;
        //~ for(int i=0;i<sz(lst[x]);++i) {
            //~ if(l<=lst[x][i].xx && lst[x][i].xx<=r) sum+=lst[x][i].yy;
        //~ }
        //~ cerr<<x<<","<<l<<","<<r<<" -> "<<sum<<"\n";
        ll sum=get_jobb(x, r)-get_bal(x, l);
        return sum;
    };
    
    
    vector<ll> dp0(lst[0].size());
    vector<ll> dp1(lst[0].size());
    vector<ll> dp2(lst[0].size());
    for(int i=1;i<N;++i) {
        vector<ll> ndp0(lst[i].size());
        vector<ll> ndp1(lst[i].size());
        vector<ll> ndp2(lst[i].size());
        
        ll mxdp0=*max_element(dp0.begin(), dp0.end());
        ll mxdp1=*max_element(dp1.begin(), dp1.end());
        ll mxdp2=*max_element(dp2.begin(), dp2.end());
        
        //dp0
        int k=0;
        ll mx=0;
        for(int j=0;j<sz(lst[i]);++j) {
            ndp0[j]=mxdp1;
            for(;k<sz(lst[i-1]);++k) {
                if(lst[i-1][k].xx>lst[i][j].xx-1) break ;
                mx=max(mx, dp2[k]-get_bal(i-1, lst[i-1][k].xx));
            }
            ndp0[j]=max({ndp0[j], get_jobb(i-1, lst[i][j].xx-1)+mx});
        }
        
        //dp1
        k=sz(lst[i-1])-1;
        ll mx0=0, mx1=0;
        for(int j=0;j<sz(lst[i]);++j) {
            ndp1[j]=max(mxdp0, mxdp1);
            for(;k>=0;--k) {
                if(lst[i][j].xx>lst[i-1][k].xx-1) break ;
                mx0=max(mx0, dp0[k]+get_jobb(i, lst[i-1][k].xx-1));
                mx1=max(mx1, dp1[k]+get_jobb(i, lst[i-1][k].xx-1));
            }
            ndp1[j]=max({ndp1[j], max(mx0,mx1)-get_bal(i, lst[i][j].xx)});
        }
        
        //dp2
        k=0;
        mx=0;
        for(int j=0;j<sz(lst[i]);++j) {
            ndp2[j]=max(mxdp0, mxdp1);
            for(;k<sz(lst[i-1]);++k) {
                if(lst[i-1][k].xx>lst[i][j].xx-1) break ;
                mx=max(mx, dp2[k]-get_bal(i-1, lst[i-1][k].xx));
            }
            ndp2[j]=max({ndp2[j], get_jobb(i-1, lst[i][j].xx-1)+mx});
        }
        //~ cerr<<i<<", 0: "; for(auto j:ndp0) cerr<<j<<" ";cerr<<"\n";
        //~ cerr<<i<<", 1: "; for(auto j:ndp1) cerr<<j<<" ";cerr<<"\n";
        //~ cerr<<i<<", 2: "; for(auto j:ndp2) cerr<<j<<" ";cerr<<"\n\n";
        dp0.swap(ndp0);
        dp1.swap(ndp1);
        dp2.swap(ndp2);
    }
    
    return max({
        *max_element(dp0.begin(), dp0.end()),
        *max_element(dp1.begin(), dp1.end()),
        *max_element(dp2.begin(), dp2.end())
    });
        
}

Compilation message

fish.cpp: In function 'long long int max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:63:12: warning: unused variable 'mxdp2' [-Wunused-variable]
   63 |         ll mxdp2=*max_element(dp2.begin(), dp2.end());
      |            ^~~~~
fish.cpp:41:10: warning: variable 'get_sum' set but not used [-Wunused-but-set-variable]
   41 |     auto get_sum=[&](int x, int l, int r) -> ll {
      |          ^~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 10308 KB Output is correct
2 Correct 64 ms 11956 KB Output is correct
3 Correct 16 ms 5716 KB Output is correct
4 Correct 17 ms 5716 KB Output is correct
5 Correct 176 ms 19616 KB Output is correct
6 Correct 160 ms 19532 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 113 ms 15288 KB Output is correct
3 Correct 152 ms 18316 KB Output is correct
4 Correct 57 ms 10184 KB Output is correct
5 Correct 83 ms 12080 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 16 ms 5716 KB Output is correct
11 Correct 22 ms 5716 KB Output is correct
12 Correct 63 ms 10268 KB Output is correct
13 Correct 74 ms 12052 KB Output is correct
14 Correct 68 ms 10232 KB Output is correct
15 Correct 70 ms 11448 KB Output is correct
16 Correct 55 ms 10296 KB Output is correct
17 Correct 63 ms 11352 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 5716 KB Output is correct
2 Correct 16 ms 5716 KB Output is correct
3 Correct 64 ms 7608 KB Output is correct
4 Correct 35 ms 7272 KB Output is correct
5 Correct 69 ms 10608 KB Output is correct
6 Correct 69 ms 10600 KB Output is correct
7 Correct 64 ms 10600 KB Output is correct
8 Correct 65 ms 10552 KB Output is correct

Subtask #4
14.0 / 14.0

# 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 1 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct

Subtask #5
21.0 / 21.0

# 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 1 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 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 212 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 27 ms 2252 KB Output is correct
18 Correct 26 ms 2932 KB Output is correct
19 Correct 24 ms 2784 KB Output is correct
20 Correct 22 ms 2624 KB Output is correct
21 Correct 22 ms 2752 KB Output is correct
22 Correct 49 ms 5068 KB Output is correct
23 Correct 5 ms 724 KB Output is correct
24 Correct 16 ms 1676 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 13 ms 652 KB Output is correct

Subtask #6
17.0 / 17.0

# 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 1 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 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 212 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 27 ms 2252 KB Output is correct
18 Correct 26 ms 2932 KB Output is correct
19 Correct 24 ms 2784 KB Output is correct
20 Correct 22 ms 2624 KB Output is correct
21 Correct 22 ms 2752 KB Output is correct
22 Correct 49 ms 5068 KB Output is correct
23 Correct 5 ms 724 KB Output is correct
24 Correct 16 ms 1676 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 13 ms 652 KB Output is correct
27 Correct 2 ms 596 KB Output is correct
28 Correct 139 ms 11016 KB Output is correct
29 Correct 229 ms 14704 KB Output is correct
30 Correct 165 ms 14028 KB Output is correct
31 Correct 182 ms 14076 KB Output is correct
32 Correct 202 ms 16048 KB Output is correct
33 Correct 201 ms 14056 KB Output is correct
34 Correct 170 ms 14048 KB Output is correct
35 Correct 65 ms 6220 KB Output is correct
36 Correct 196 ms 15952 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 5716 KB Output is correct
2 Correct 16 ms 5716 KB Output is correct
3 Correct 64 ms 7608 KB Output is correct
4 Correct 35 ms 7272 KB Output is correct
5 Correct 69 ms 10608 KB Output is correct
6 Correct 69 ms 10600 KB Output is correct
7 Correct 64 ms 10600 KB Output is correct
8 Correct 65 ms 10552 KB Output is correct
9 Correct 78 ms 10600 KB Output is correct
10 Correct 58 ms 8260 KB Output is correct
11 Correct 130 ms 16404 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 1 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 21 ms 5728 KB Output is correct
19 Correct 18 ms 5692 KB Output is correct
20 Correct 23 ms 5716 KB Output is correct
21 Correct 20 ms 5716 KB Output is correct
22 Correct 74 ms 10288 KB Output is correct
23 Correct 141 ms 16396 KB Output is correct
24 Correct 158 ms 16348 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 10308 KB Output is correct
2 Correct 64 ms 11956 KB Output is correct
3 Correct 16 ms 5716 KB Output is correct
4 Correct 17 ms 5716 KB Output is correct
5 Correct 176 ms 19616 KB Output is correct
6 Correct 160 ms 19532 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 113 ms 15288 KB Output is correct
9 Correct 152 ms 18316 KB Output is correct
10 Correct 57 ms 10184 KB Output is correct
11 Correct 83 ms 12080 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 16 ms 5716 KB Output is correct
17 Correct 22 ms 5716 KB Output is correct
18 Correct 63 ms 10268 KB Output is correct
19 Correct 74 ms 12052 KB Output is correct
20 Correct 68 ms 10232 KB Output is correct
21 Correct 70 ms 11448 KB Output is correct
22 Correct 55 ms 10296 KB Output is correct
23 Correct 63 ms 11352 KB Output is correct
24 Correct 16 ms 5716 KB Output is correct
25 Correct 16 ms 5716 KB Output is correct
26 Correct 64 ms 7608 KB Output is correct
27 Correct 35 ms 7272 KB Output is correct
28 Correct 69 ms 10608 KB Output is correct
29 Correct 69 ms 10600 KB Output is correct
30 Correct 64 ms 10600 KB Output is correct
31 Correct 65 ms 10552 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 1 ms 468 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 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 212 KB Output is correct
47 Correct 2 ms 340 KB Output is correct
48 Correct 27 ms 2252 KB Output is correct
49 Correct 26 ms 2932 KB Output is correct
50 Correct 24 ms 2784 KB Output is correct
51 Correct 22 ms 2624 KB Output is correct
52 Correct 22 ms 2752 KB Output is correct
53 Correct 49 ms 5068 KB Output is correct
54 Correct 5 ms 724 KB Output is correct
55 Correct 16 ms 1676 KB Output is correct
56 Correct 2 ms 340 KB Output is correct
57 Correct 13 ms 652 KB Output is correct
58 Correct 2 ms 596 KB Output is correct
59 Correct 139 ms 11016 KB Output is correct
60 Correct 229 ms 14704 KB Output is correct
61 Correct 165 ms 14028 KB Output is correct
62 Correct 182 ms 14076 KB Output is correct
63 Correct 202 ms 16048 KB Output is correct
64 Correct 201 ms 14056 KB Output is correct
65 Correct 170 ms 14048 KB Output is correct
66 Correct 65 ms 6220 KB Output is correct
67 Correct 196 ms 15952 KB Output is correct
68 Correct 78 ms 10600 KB Output is correct
69 Correct 58 ms 8260 KB Output is correct
70 Correct 130 ms 16404 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 1 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 21 ms 5728 KB Output is correct
78 Correct 18 ms 5692 KB Output is correct
79 Correct 23 ms 5716 KB Output is correct
80 Correct 20 ms 5716 KB Output is correct
81 Correct 74 ms 10288 KB Output is correct
82 Correct 141 ms 16396 KB Output is correct
83 Correct 158 ms 16348 KB Output is correct
84 Correct 231 ms 18268 KB Output is correct
85 Correct 229 ms 18852 KB Output is correct
86 Correct 195 ms 19324 KB Output is correct
87 Correct 181 ms 19736 KB Output is correct
88 Correct 1 ms 212 KB Output is correct
89 Correct 188 ms 19840 KB Output is correct
90 Correct 167 ms 19300 KB Output is correct
91 Correct 170 ms 19560 KB Output is correct