Submission #1090492

# Submission time Handle Problem Language Result Execution time Memory
1090492 2024-09-18T12:08:11 Z simona1230 Race (IOI11_race) C++17
100 / 100
331 ms 49480 KB
#include "race.h"
#include <bits/stdc++.h>
using namespace std;

vector<int> v[200001],w[200001];
int ans=200000;

void add(int i,int j,int k)
{
    v[i].push_back(j);
    v[j].push_back(i);
    w[i].push_back(k);
    w[j].push_back(k);
}

int n,k;

int all;
int sz[200001];
int mark[200001];

void prec(int i,int p)
{
    sz[i]=1;
    for(int j=0;j<v[i].size();j++)
    {
        int nb=v[i][j];
        if(nb==p||mark[nb])continue;

        prec(nb,i);
        sz[i]+=sz[nb];
    }
}

int centroid(int i,int p)
{
    for(int j=0;j<v[i].size();j++)
    {
        int nb=v[i][j];
        if(nb==p||mark[nb])continue;

        if(sz[nb]>all/2)return centroid(nb,i);
    }

    return i;
}

int mp[1000001];
vector<int> val;
vector<pair<int,int> > ext;

void dfs(int i,int p,int cnt,int wg)
{
    if(wg>k)return;

    if(wg==k)ans=min(ans,cnt);
    else
    {
        int wg2=k-wg;
        //cout<<wg2<<" + "<<mp[wg2]<<endl;
        ans=min(ans,cnt+mp[wg2]);
    }

    //cout<<i<<" "<<wg<<endl;

    ext.push_back({wg,cnt});

    for(int j=0;j<v[i].size();j++)
    {
        int nb=v[i][j];
        if(nb==p||mark[nb])continue;

        dfs(nb,i,cnt+1,wg+w[i][j]);
    }
}

void solve(int beg)
{
    prec(beg,-1);
    all=sz[beg];
    //cout<<all<<endl;
    int c=centroid(beg,-1);
    //cout<<"! "<<c<<endl;

    for(int i=0;i<val.size();i++)
        mp[val[i]]=n;
    val.clear();
    mark[c]=1;

    for(int i=0;i<v[c].size();i++)
    {
        int nb=v[c][i];
        if(mark[nb])continue;

        //cout<<c<<" "<<nb<<endl;
        dfs(nb,-1,1,w[c][i]);

        for(int j=0;j<ext.size();j++)
        {
            //cout<<"= "<<ext[j].first<<endl;
            if(mp[ext[j].first]==n)val.push_back(ext[j].first);
            mp[ext[j].first]=min(mp[ext[j].first],ext[j].second);
        }
        ext.clear();
    }

    for(int i=0;i<v[c].size();i++)
    {
        int nb=v[c][i];
        if(!mark[nb])solve(nb);
    }
}

int best_path(int N, int K, int H[][2], int L[])
{
    n=N;
    k=K;

    for(int i=1;i<=k;i++)
        mp[i]=n;

    for(int i=0;i<n-1;i++)
        add(H[i][0],H[i][1],L[i]);

    solve(0);

    if(ans>=n)return -1;
    return ans;
}
/*
11 12
0 1 3
0 2 4
2 3 5
3 4 4
4 5 6
0 6 3
6 7 2
6 8 5
8 9 6
8 10 7
2
*/

Compilation message

race.cpp: In function 'void prec(int, int)':
race.cpp:25:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   25 |     for(int j=0;j<v[i].size();j++)
      |                 ~^~~~~~~~~~~~
race.cpp: In function 'int centroid(int, int)':
race.cpp:37:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   37 |     for(int j=0;j<v[i].size();j++)
      |                 ~^~~~~~~~~~~~
race.cpp: In function 'void dfs(int, int, int, int)':
race.cpp:68:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   68 |     for(int j=0;j<v[i].size();j++)
      |                 ~^~~~~~~~~~~~
race.cpp: In function 'void solve(int)':
race.cpp:85:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   85 |     for(int i=0;i<val.size();i++)
      |                 ~^~~~~~~~~~~
race.cpp:90:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   90 |     for(int i=0;i<v[c].size();i++)
      |                 ~^~~~~~~~~~~~
race.cpp:98:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   98 |         for(int j=0;j<ext.size();j++)
      |                     ~^~~~~~~~~~~
race.cpp:107:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  107 |     for(int i=0;i<v[c].size();i++)
      |                 ~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9820 KB Output is correct
2 Correct 5 ms 9756 KB Output is correct
3 Correct 5 ms 9820 KB Output is correct
4 Correct 4 ms 9820 KB Output is correct
5 Correct 6 ms 9820 KB Output is correct
6 Correct 4 ms 9820 KB Output is correct
7 Correct 5 ms 9820 KB Output is correct
8 Correct 5 ms 9820 KB Output is correct
9 Correct 4 ms 9820 KB Output is correct
10 Correct 6 ms 9820 KB Output is correct
11 Correct 4 ms 9820 KB Output is correct
12 Correct 5 ms 9820 KB Output is correct
13 Correct 5 ms 9820 KB Output is correct
14 Correct 5 ms 9820 KB Output is correct
15 Correct 4 ms 9820 KB Output is correct
16 Correct 5 ms 9844 KB Output is correct
17 Correct 5 ms 9816 KB Output is correct
18 Correct 5 ms 9820 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9820 KB Output is correct
2 Correct 5 ms 9756 KB Output is correct
3 Correct 5 ms 9820 KB Output is correct
4 Correct 4 ms 9820 KB Output is correct
5 Correct 6 ms 9820 KB Output is correct
6 Correct 4 ms 9820 KB Output is correct
7 Correct 5 ms 9820 KB Output is correct
8 Correct 5 ms 9820 KB Output is correct
9 Correct 4 ms 9820 KB Output is correct
10 Correct 6 ms 9820 KB Output is correct
11 Correct 4 ms 9820 KB Output is correct
12 Correct 5 ms 9820 KB Output is correct
13 Correct 5 ms 9820 KB Output is correct
14 Correct 5 ms 9820 KB Output is correct
15 Correct 4 ms 9820 KB Output is correct
16 Correct 5 ms 9844 KB Output is correct
17 Correct 5 ms 9816 KB Output is correct
18 Correct 5 ms 9820 KB Output is correct
19 Correct 6 ms 9720 KB Output is correct
20 Correct 4 ms 9820 KB Output is correct
21 Correct 5 ms 9820 KB Output is correct
22 Correct 7 ms 13440 KB Output is correct
23 Correct 6 ms 12892 KB Output is correct
24 Correct 6 ms 13148 KB Output is correct
25 Correct 7 ms 13144 KB Output is correct
26 Correct 6 ms 11100 KB Output is correct
27 Correct 7 ms 12892 KB Output is correct
28 Correct 5 ms 10736 KB Output is correct
29 Correct 5 ms 11356 KB Output is correct
30 Correct 6 ms 11356 KB Output is correct
31 Correct 6 ms 12380 KB Output is correct
32 Correct 6 ms 12636 KB Output is correct
33 Correct 7 ms 12920 KB Output is correct
34 Correct 7 ms 12124 KB Output is correct
35 Correct 6 ms 13064 KB Output is correct
36 Correct 7 ms 13404 KB Output is correct
37 Correct 7 ms 12892 KB Output is correct
38 Correct 6 ms 11868 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9820 KB Output is correct
2 Correct 5 ms 9756 KB Output is correct
3 Correct 5 ms 9820 KB Output is correct
4 Correct 4 ms 9820 KB Output is correct
5 Correct 6 ms 9820 KB Output is correct
6 Correct 4 ms 9820 KB Output is correct
7 Correct 5 ms 9820 KB Output is correct
8 Correct 5 ms 9820 KB Output is correct
9 Correct 4 ms 9820 KB Output is correct
10 Correct 6 ms 9820 KB Output is correct
11 Correct 4 ms 9820 KB Output is correct
12 Correct 5 ms 9820 KB Output is correct
13 Correct 5 ms 9820 KB Output is correct
14 Correct 5 ms 9820 KB Output is correct
15 Correct 4 ms 9820 KB Output is correct
16 Correct 5 ms 9844 KB Output is correct
17 Correct 5 ms 9816 KB Output is correct
18 Correct 5 ms 9820 KB Output is correct
19 Correct 93 ms 19540 KB Output is correct
20 Correct 114 ms 19424 KB Output is correct
21 Correct 96 ms 19712 KB Output is correct
22 Correct 86 ms 19920 KB Output is correct
23 Correct 59 ms 19284 KB Output is correct
24 Correct 44 ms 19792 KB Output is correct
25 Correct 92 ms 23376 KB Output is correct
26 Correct 69 ms 27592 KB Output is correct
27 Correct 149 ms 30232 KB Output is correct
28 Correct 210 ms 44884 KB Output is correct
29 Correct 200 ms 43604 KB Output is correct
30 Correct 148 ms 30616 KB Output is correct
31 Correct 140 ms 30208 KB Output is correct
32 Correct 171 ms 30288 KB Output is correct
33 Correct 178 ms 29268 KB Output is correct
34 Correct 169 ms 30032 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9820 KB Output is correct
2 Correct 5 ms 9756 KB Output is correct
3 Correct 5 ms 9820 KB Output is correct
4 Correct 4 ms 9820 KB Output is correct
5 Correct 6 ms 9820 KB Output is correct
6 Correct 4 ms 9820 KB Output is correct
7 Correct 5 ms 9820 KB Output is correct
8 Correct 5 ms 9820 KB Output is correct
9 Correct 4 ms 9820 KB Output is correct
10 Correct 6 ms 9820 KB Output is correct
11 Correct 4 ms 9820 KB Output is correct
12 Correct 5 ms 9820 KB Output is correct
13 Correct 5 ms 9820 KB Output is correct
14 Correct 5 ms 9820 KB Output is correct
15 Correct 4 ms 9820 KB Output is correct
16 Correct 5 ms 9844 KB Output is correct
17 Correct 5 ms 9816 KB Output is correct
18 Correct 5 ms 9820 KB Output is correct
19 Correct 6 ms 9720 KB Output is correct
20 Correct 4 ms 9820 KB Output is correct
21 Correct 5 ms 9820 KB Output is correct
22 Correct 7 ms 13440 KB Output is correct
23 Correct 6 ms 12892 KB Output is correct
24 Correct 6 ms 13148 KB Output is correct
25 Correct 7 ms 13144 KB Output is correct
26 Correct 6 ms 11100 KB Output is correct
27 Correct 7 ms 12892 KB Output is correct
28 Correct 5 ms 10736 KB Output is correct
29 Correct 5 ms 11356 KB Output is correct
30 Correct 6 ms 11356 KB Output is correct
31 Correct 6 ms 12380 KB Output is correct
32 Correct 6 ms 12636 KB Output is correct
33 Correct 7 ms 12920 KB Output is correct
34 Correct 7 ms 12124 KB Output is correct
35 Correct 6 ms 13064 KB Output is correct
36 Correct 7 ms 13404 KB Output is correct
37 Correct 7 ms 12892 KB Output is correct
38 Correct 6 ms 11868 KB Output is correct
39 Correct 93 ms 19540 KB Output is correct
40 Correct 114 ms 19424 KB Output is correct
41 Correct 96 ms 19712 KB Output is correct
42 Correct 86 ms 19920 KB Output is correct
43 Correct 59 ms 19284 KB Output is correct
44 Correct 44 ms 19792 KB Output is correct
45 Correct 92 ms 23376 KB Output is correct
46 Correct 69 ms 27592 KB Output is correct
47 Correct 149 ms 30232 KB Output is correct
48 Correct 210 ms 44884 KB Output is correct
49 Correct 200 ms 43604 KB Output is correct
50 Correct 148 ms 30616 KB Output is correct
51 Correct 140 ms 30208 KB Output is correct
52 Correct 171 ms 30288 KB Output is correct
53 Correct 178 ms 29268 KB Output is correct
54 Correct 169 ms 30032 KB Output is correct
55 Correct 11 ms 10840 KB Output is correct
56 Correct 12 ms 10844 KB Output is correct
57 Correct 69 ms 19612 KB Output is correct
58 Correct 31 ms 19788 KB Output is correct
59 Correct 80 ms 28656 KB Output is correct
60 Correct 306 ms 49480 KB Output is correct
61 Correct 151 ms 30636 KB Output is correct
62 Correct 163 ms 34248 KB Output is correct
63 Correct 195 ms 34456 KB Output is correct
64 Correct 331 ms 33360 KB Output is correct
65 Correct 202 ms 30820 KB Output is correct
66 Correct 298 ms 45140 KB Output is correct
67 Correct 89 ms 35128 KB Output is correct
68 Correct 211 ms 35556 KB Output is correct
69 Correct 203 ms 35556 KB Output is correct
70 Correct 225 ms 34580 KB Output is correct