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<iostream>
#include<vector>
#include<cstring>
#define MAXN 100001
#define INF 1e18
#define int long long
using namespace std;
struct vertex
{
int to, w;
};
struct Edge
{
int v, u, w;
};
int n, s, q, root, marked[MAXN], par[MAXN][20], minD[MAXN], minDLCA[MAXN][20], sumLCA[MAXN][20], depth[MAXN];
vector<vertex> M[MAXN];
vector<Edge> adj;
bool vis[MAXN], isMarked[MAXN];
void read()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin>>n>>s>>q>>root;
for(int i = 0; i < n - 1; i ++)
{
int a, b, w;
cin>>a>>b>>w;
M[a].push_back({b, w});
M[b].push_back({a, w});
adj.push_back({a, b, w});
}
for(int i = 0; i < s; i ++)
{
cin>>marked[i];
isMarked[marked[i]] = 1;
}
fill_n(minD, sizeof minD, INF);
for(int i = 0; i <= n; i ++)
{
for(int j = 0; j < 20; j ++) minDLCA[i][j] = INF;
}
}
void buildLCA(int v, int p, int level, int w)
{
//depth[v] = level;
//par[v][0] = p;
vis[v] = 1;
/*if(isMarked[v]) minD[v] = 0;
sumLCA[v][0] = w;*/
/*for(int i = 1; i < 20; i ++)
{
par[v][i] = par[par[v][i - 1]][i - 1];
sumLCA[v][i] = sumLCA[v][i - 1] + sumLCA[par[v][i - 1]][i - 1];
}*/
for(auto u : M[v])
{
if(!vis[u.to])
{
buildLCA(u.to, v, level + 1, u.w);
//minD[v] = min(minD[v], minD[u.to] + u.w);
}
}
}
void dfs(int v, int p, int w)
{
vis[v] = 1;
if(p != -1) minDLCA[v][0] = min(minD[v], minD[p] + w);
for(int i = 1; i < 20; i ++)
{
minDLCA[v][i] = min(minDLCA[v][i - 1], minDLCA[par[v][i - 1]][i - 1] + sumLCA[v][i - 1]);
}
for(auto u : M[v])
{
if(!vis[u.to])
{
dfs(u.to, v, u.w);
}
}
}
int LCA(int v, int u)
{
if(depth[v] > depth[u]) swap(v, u);
int dif = depth[u] - depth[v];
for(int i = 0; i < 21; i ++)
{
if(dif & (1 << i))
{
u = par[u][i];
}
}
if(v == u) return u;
for(int i = 20; i > -1; i --)
{
if(par[v][i] != par[u][i])
{
v = par[v][i];
u = par[u][i];
}
}
return par[v][0];
}
int LCAans(int v, int u)
{
if(v == u) return minD[v];
int path = 0, answer = INF;
if(depth[u] < depth[v]) swap(u, v);
int dif = depth[u] - depth[v];
for(int i = 0; i < 21; i ++)
{
if(dif & (1 << i))
{
answer = min(answer, minDLCA[u][i]);
u = par[u][i];
}
}
return answer;
}
void queries()
{
for(int i = 0; i < q; i ++)
{
int a, b;
cin>>b>>a;
b --;
int v = adj[b].v, u = adj[b].u;
if(LCA(v, a) == v && LCA(u, a) == u && depth[v] <= depth[a] && depth[u] <= depth[a])
{
if(depth[v] < depth[u]) swap(v, u);
int ans = LCAans(a, v);
if(ans == INF) cout<<"oo\n";
else cout<<ans<<'\n';
}
else cout<<"escaped\n";
}
}
signed main()
{
read();
buildLCA(root, -1, 0, 0);
/*memset(vis, 0, sizeof vis);
dfs(root, -1, 0);*/
queries();
return 0;
}
/*
5 2 3 1
1 2 3
1 3 2
3 4 1
3 5 2
2
4
2 2
2 5
4 5
10 2 1 4
7 2 3
4 8 3
9 10 1
6 7 3
9 2 3
10 1 2
8 2 2
5 2 1
3 8 2
8
7
2 1
*/
Compilation message (stderr)
valley.cpp: In function 'long long int LCAans(long long int, long long int)':
valley.cpp:114:9: warning: unused variable 'path' [-Wunused-variable]
114 | int path = 0, answer = INF;
| ^~~~
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