oj.uz

Submission #1054789

# Submission time Handle Problem Language Result Execution time Memory
1054789 2024-08-12T12:09:34 Z alexander707070 Swapping Cities (APIO20_swap) C++14
7 / 100
 183 ms 51384 KB 
#include<bits/stdc++.h>
#include "swap.h"

#define MAXN 100007
using namespace std;

const int inf=1e9+7;

int n,m,a[MAXN],b[MAXN],c[MAXN],dep[MAXN];
vector< pair<int,int> > tree[MAXN];
vector<int> v[MAXN];
int parent[MAXN],res[MAXN],es[MAXN];

struct info{
    int par,mins,maxe;
};

struct edge{
    int from,to,cost;

    inline friend bool operator < (edge fr,edge sc){
        return fr.cost<sc.cost;
    }
}e[MAXN];

struct unionfind{
    int dsu[MAXN],sz[MAXN];

    void init(){
        for(int i=1;i<=n;i++){
            dsu[i]=i; sz[i]=1;
        }
    }

    int root(int x){
        if(dsu[x]==x)return dsu[x];
        dsu[x]=root(dsu[x]);
        return dsu[x];
    }

    void mergev(int x,int y){
        int rootx=root(x);
        int rooty=root(y);

        if(rootx==rooty)return;
        if(sz[rootx]<sz[rooty])swap(rootx,rooty);

        dsu[rooty]=rootx;
        sz[rootx]+=sz[rooty];
    }

    bool connected(int x,int y){
        return root(x)==root(y);
    }
}graph;

info dp[MAXN][20];

void dfs(int x,int p,int ee){
    parent[x]=p;
    dep[x]=dep[p]+1;
    es[x]=ee;

    dp[x][0].par=parent[x];
    dp[x][0].mins=min(res[x],res[parent[x]]);
    dp[x][0].maxe=ee;

    for(int t=1;t<20;t++){
        dp[x][t].par=dp[dp[x][t-1].par][t-1].par;
        dp[x][t].mins=min( dp[x][t-1].mins , dp[dp[x][t-1].par][t-1].mins );
        dp[x][t].maxe=max( dp[x][t-1].maxe , dp[dp[x][t-1].par][t-1].maxe );
    }

    for(pair<int,int> i:tree[x]){
        if(i.first==p)continue;
        dfs(i.first,x,i.second);
    }
}

int getbranch(int x,int y){
    int ans=inf;

    if(dep[x]<dep[y])swap(x,y);

    for(int i=19;i>=0;i--){
        if(dep[x]-dep[y]>=(1<<i)){
            ans=min(ans,dp[x][i].mins);
            x=dp[x][i].par;
        }
    }

    for(int i=19;i>=0;i--){
        if(dp[x][i].par!=0 and dp[y][i].par!=0 and dp[x][i].par!=dp[y][i].par){
            ans=min(ans,dp[x][i].mins);
            ans=min(ans,dp[y][i].mins);

            x=dp[x][i].par; y=dp[y][i].par;
        }
    }

    if(x!=y)ans=min(ans,res[parent[x]]);
    return ans;
}

int getedge(int x,int y){
    if(dep[x]>dep[y])swap(x,y);

    int ans=0;
    for(int i=19;i>=0;i--){
        if(dep[x]-dep[y]>(1<<i)){
            ans=max(ans,dp[x][i].maxe);
            x=dp[x][i].par;
        }
    }

    if(parent[x]==y)return ans;
    
    ans=max(ans,dp[x][0].maxe);
    x=dp[x][0].par;

    for(int i=19;i>=0;i--){
        if(dp[x][i].par!=0 and dp[y][i].par!=0 and dp[x][i].par!=dp[y][i].par){
            ans=max(ans,dp[x][i].maxe);
            ans=max(ans,dp[y][i].maxe);

            x=dp[x][i].par; y=dp[y][i].par;
        }
    }

    return ans;
}

void init(int N, int M,vector<int> U, vector<int> V, vector<int> W) {
    n=N; m=M;
    for(int i=1;i<=m;i++){
        a[i]=U[i-1]+1; b[i]=V[i-1]+1; c[i]=W[i-1];

        v[a[i]].push_back(c[i]);
        v[b[i]].push_back(c[i]);

        e[i]={a[i],b[i],c[i]};
    }

    for(int i=1;i<=n;i++){
        sort(v[i].begin(),v[i].end());

        res[i]=inf;
        if(v[i].size()>=3)res[i]=v[i][2];
    }
    res[0]=inf;

    sort(e+1,e+m+1);
    graph.init();

    for(int i=1;i<=m;i++){
        if(graph.connected(e[i].from,e[i].to))continue;
        
        tree[e[i].from].push_back({e[i].to,e[i].cost});
        tree[e[i].to].push_back({e[i].from,e[i].cost});

        graph.mergev(e[i].from,e[i].to);
    }

    for(int t=0;t<20;t++)dp[0][t]={0,inf,0};
    dfs(1,0,0);
}

int getMinimumFuelCapacity(int X, int Y) {
    int ans=max( max(es[X+1],es[Y+1]) , getbranch(X+1,Y+1) );

    if(ans==inf)return -1;
    return ans;
}

/*
int main(){
    init(5, 6, {0, 0, 1, 1, 1, 2}, {1, 2, 2, 3, 4, 3}, {4, 4, 1, 2, 10, 3});

    cout<<getMinimumFuelCapacity(1, 2)<<"\n";
    cout<<getMinimumFuelCapacity(2,4)<<"\n";
    cout<<getMinimumFuelCapacity(0,1)<<"\n";
}
*/

Subtask #1
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8792 KB Output is correct
2 Correct 1 ms 8796 KB Output is correct
3 Correct 1 ms 8796 KB Output is correct
4 Correct 1 ms 9052 KB Output is correct
5 Correct 2 ms 11192 KB Output is correct
6 Correct 2 ms 11356 KB Output is correct
7 Correct 2 ms 11356 KB Output is correct
8 Correct 2 ms 11356 KB Output is correct
9 Correct 53 ms 39268 KB Output is correct
10 Correct 72 ms 46672 KB Output is correct
11 Correct 67 ms 46180 KB Output is correct
12 Correct 69 ms 47180 KB Output is correct
13 Correct 70 ms 48136 KB Output is correct
14 Correct 65 ms 39268 KB Output is correct
15 Correct 183 ms 49880 KB Output is correct
16 Correct 157 ms 48364 KB Output is correct
17 Correct 167 ms 51384 KB Output is correct
18 Correct 151 ms 50360 KB Output is correct
19 Incorrect 62 ms 19532 KB Output isn't correct
20 Halted 0 ms 0 KB -

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8792 KB Output is correct
2 Correct 1 ms 8796 KB Output is correct
3 Correct 92 ms 48304 KB Output is correct
4 Correct 95 ms 48180 KB Output is correct
5 Correct 99 ms 47968 KB Output is correct
6 Correct 86 ms 47828 KB Output is correct
7 Correct 93 ms 48028 KB Output is correct
8 Correct 90 ms 47328 KB Output is correct
9 Correct 87 ms 47924 KB Output is correct
10 Correct 113 ms 47488 KB Output is correct

Subtask #3
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8792 KB Output is correct
2 Correct 1 ms 8796 KB Output is correct
3 Correct 1 ms 8796 KB Output is correct
4 Correct 1 ms 9052 KB Output is correct
5 Correct 2 ms 11192 KB Output is correct
6 Correct 2 ms 11356 KB Output is correct
7 Correct 2 ms 11356 KB Output is correct
8 Correct 2 ms 11356 KB Output is correct
9 Incorrect 1 ms 8796 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 8796 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8792 KB Output is correct
2 Correct 1 ms 8796 KB Output is correct
3 Correct 1 ms 8796 KB Output is correct
4 Correct 1 ms 9052 KB Output is correct
5 Correct 2 ms 11192 KB Output is correct
6 Correct 2 ms 11356 KB Output is correct
7 Correct 2 ms 11356 KB Output is correct
8 Correct 2 ms 11356 KB Output is correct
9 Correct 53 ms 39268 KB Output is correct
10 Correct 72 ms 46672 KB Output is correct
11 Correct 67 ms 46180 KB Output is correct
12 Correct 69 ms 47180 KB Output is correct
13 Correct 70 ms 48136 KB Output is correct
14 Correct 65 ms 39268 KB Output is correct
15 Correct 183 ms 49880 KB Output is correct
16 Correct 157 ms 48364 KB Output is correct
17 Correct 167 ms 51384 KB Output is correct
18 Correct 151 ms 50360 KB Output is correct
19 Correct 92 ms 48304 KB Output is correct
20 Correct 95 ms 48180 KB Output is correct
21 Correct 99 ms 47968 KB Output is correct
22 Correct 86 ms 47828 KB Output is correct
23 Correct 93 ms 48028 KB Output is correct
24 Correct 90 ms 47328 KB Output is correct
25 Correct 87 ms 47924 KB Output is correct
26 Correct 113 ms 47488 KB Output is correct
27 Incorrect 2 ms 11356 KB Output isn't correct
28 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 8796 KB Output isn't correct
2 Halted 0 ms 0 KB -