#include <bits/stdc++.h>
#define fi first
#define se second
using namespace std;
typedef long long ll;
typedef long double db;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<db,db> pdb;
typedef tuple<int,int,int> tii;
typedef tuple<ll,ll,ll> tll;
typedef tuple<int,int,int,int> ti4;
typedef vector<vector<ll>> mat;
const ll mod=1e9+7,inf=1e18;
const int N=3e5+5,M=2e5+5,K=1e7+5;
int n,m,u[N],v[N],r[N],ok[N],cnt,ans[N];
vector<pll> g[N];
int in[N],pe[N],h[N],par[19][N],curp[N];
vector<int> V;
int clr(int u,int v){
if(!u||h[u]<=h[v]) return u;
if(!in[pe[u]]) V.emplace_back(pe[u]);
in[pe[u]]=1;
return curp[u]=clr(curp[u],v);
}
void dfs(int u){
for(auto [v,d] : g[u]) if(v!=par[0][u]){
h[v]=h[u]+1; par[0][v]=u; curp[v]=u; pe[v]=d; dfs(v);
}
}
int lca(int u,int v){
if(h[u]>h[v]) swap(u,v);
for(int bit=18;bit>=0;bit--) if((h[v]-h[u])&(1<<bit)){
v=par[bit][v];
}
if(u==v) return u;
for(int bit=18;bit>=0;bit--) if(par[bit][u]!=par[bit][v]){
u=par[bit][u]; v=par[bit][v];
}
return par[0][u];
}
int main(){
ios::sync_with_stdio(false); cin.tie(0);
cin>>n>>m;
for(int i=1;i<=m;i++) cin>>u[i]>>v[i];
for(int i=1;i<n;i++){
cin>>r[i];
ok[r[i]]=1;
g[u[r[i]]].emplace_back(v[r[i]],r[i]);
g[v[r[i]]].emplace_back(u[r[i]],r[i]);
}
h[1]=1; dfs(1); in[0]=1;
for(int bit=1;bit<19;bit++) for(int i=1;i<=n;i++){
par[bit][i]=par[bit-1][par[bit-1][i]];
}
for(int i=1;i<=m;i++){
if(ans[i]){
cout<<ans[i]<<" "; continue;
}
if(ok[i]){
in[i]=1; cout<<++cnt<<" "; continue;
}
int uv=lca(u[i],v[i]);
clr(u[i],uv); clr(v[i],uv);
sort(V.begin(),V.end());
for(auto j : V) ans[j]=++cnt;
V.clear();
cout<<++cnt<<" ";
}
return 0;
}
