# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
201645 | Gurban | Evacuation plan (IZhO18_plan) | C++14 | 775 ms | 45028 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define pb push_back
#define ss second
#define ff first
#define N 100005
#define inf 1000000009
#define ll long long
#define mid(a,b) (a+b)/2
#define pii pair<int,int>
using namespace std;
int n,m,w,k,t,dis[N],ans,x,y,L[N],sp[N][22],vis[N],mn[N][22];
priority_queue <pii,vector <pii>,greater<pii>> q;
vector <pii> E[N];
vector <int> EG[N];
void prim(){
memset(vis,0,sizeof(vis));
priority_queue <pii> p;
p.push({dis[1],1});
while(!p.empty()){
y = p.top().ss;
p.pop();
if(vis[y]) continue;
vis[y] = 1;
EG[sp[y][0]].pb(y);
for(auto i : E[y]){
if(vis[i.ff] == 0){
p.push({dis[i.ff],i.ff});
sp[i.ff][0] = y;
}
}
}
}
void dfs(int nd){
for(auto i : EG[nd]){
L[i] = L[nd] + 1;
mn[i][0] = min(dis[i],dis[nd]);
dfs(i);
}
}
int LCA(int x,int y){
ans = min(dis[x],dis[y]);
if(L[x] < L[y]) swap(x,y);
for(int i = 20;i >= 0;i--)
if(L[sp[x][i]] >= L[y] and sp[x][i]){
ans = min(mn[x][i],ans);
x = sp[x][i];
}
if(x == y) return x;
for(int i = 20;i >= 0;i--)
if(sp[x][i] != sp[y][i] and sp[x][i] and sp[y][i]){
ans = min(ans,min(mn[y][i],mn[x][i]));
x = sp[x][i],y = sp[y][i];
}
ans = min(ans,dis[sp[x][0]]);
return sp[x][0];
}
int main()
{
scanf("%d%d",&n,&m);
for(int i = 1;i <= m;i++){
scanf("%d%d%d",&x,&y,&w);
E[x].pb({y,w});
E[y].pb({x,w});
}
for(int i = 1;i <= n;i++) dis[i] = mn[i][0] = inf;
scanf("%d",&k);
for(int i = 1;i <= k;i++){
scanf("%d",&x);
dis[x] = 0;
q.push({0,x});
}
while(!q.empty()){
x = q.top().ss;
q.pop();
if(vis[x]) continue;
vis[x] = 1;
for(auto i : E[x]){
if(dis[i.ff] > dis[x] + i.ss){
dis[i.ff] = dis[x] + i.ss;
q.push({dis[i.ff],i.ff});
}
}
}
prim();
dfs(1);
int lg = log2(n);
for(int i = 1;i <= lg;i++){
for(int j = 1;j <= n;j++){
sp[j][i] = sp[sp[j][i - 1]][i - 1];
mn[j][i] = min(mn[j][i - 1],mn[sp[j][i - 1]][i - 1]);
}
}
scanf("%d",&t);
while(t--){
scanf("%d%d",&x,&y);
LCA(x,y);
printf("%d\n",ans);
}
}
/*
9 12
1 9 4
1 2 5
2 3 7
2 4 3
4 3 6
3 6 4
8 7 10
6 7 5
5 8 1
9 5 7
5 4 12
6 8 2
2
4 7
5
1 6
5 3
4 8
5 8
1 5
*/
Compilation message (stderr)
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