#include<bits/stdc++.h>
using namespace std;
// define
#define execute cerr << " Time: " << fixed << setprecision(6) << (1.0 * clock() / CLOCKS_PER_SEC) << "s\n";
#define ll long long
#define ld double
#define ii pair<int,int>
#define se second
#define fi first
#define iii pair<int,ii>
#define all(v) v.begin(),v.end()
#define bit(x,i) (((x)>>(i))&1LL)
#define flip(x,i) ((x)^(1LL<<(i)))
#define ms(d,x) memset(d,x,sizeof(d))
#define sitingfake 1
#define orz 1
#define exist __exist
#define ends __ends
#define visit visited
#define left __left
#define right __right
//constant
const ll mod = 1e9 + 7;
const long long linf = 4557430888798830399;
const int inf = 1061109567;
const int maxarr = 1e6 + 5;
int dx[] = {0 , -1 , 0 , 1};
int dy[] = {-1 , 0 , 1 , 0};
template<typename T> bool maximize(T &a, const T &b)
{
if(a < b) {a = b; return 1;}
return 0;
}
template<typename T> bool minimize(T &a, const T &b)
{
if(a > b) {a = b; return 1;}
return 0;
}
inline void Plus(ll & a ,ll b)
{
b %= mod;
a += b;
if(a >= mod) a -= mod;
if(a < 0) a += mod;
return;
}
inline void Mul(ll & a, ll b)
{
a %= mod; b %= mod;
a *= b;
a %= mod;
return;
}
//code
const int maxn = 3e5 + 7;
int n , q;
vector <ii> a[maxn];
ii edges[maxn];
int par[maxn];
ll depth[maxn];
ll ans[maxn];
ll Mi[maxn];
vector <int> del;
bool d[maxn];
void dfs(int u , int p)
{
for(ii i : a[u])
{
int v = i.fi;
int w = i.se;
if(v != p)
{
depth[v] = depth[u] + w;
dfs(v , u);
}
}
}
int get(int u)
{
if(par[u] < 0) return u;
return par[u] = get(par[u]);
}
void uni(int u , int v)
{
int pu = get(u);
int pv = get(v);
if(pu == pv) return;
if(par[pu] > par[pv]) swap(pu , pv);
Mi[pu] = min(Mi[pu] , Mi[pv]);
par[pu] += par[pv];
par[pv] = pu;
}
void solve(void)
{
cin >> n >> q;
for(int i = 2; i <= n; i++)
{
cin >> edges[i].fi >> edges[i].se;
a[edges[i].fi].push_back(ii(i , edges[i].se));
a[i].push_back(ii(edges[i].fi , edges[i].se));
}
for(int i = 1; i <= q; i++)
{
int x;
cin >> x;
del.push_back(x);
d[x] = 1;
}
dfs(1 , -1);
ms(par , -1);
Mi[1] = linf;
for(int i = 2; i <= n; i++)
{
if(a[i].size() == 1) Mi[i] = depth[i];
else Mi[i] = linf;
par[i] = -1;
}
for(int i = 2; i <= n; i++)
{
if(!d[i])
{
uni(edges[i].fi , i);
}
}
for(int i = q; i >= 1; i--)
{
int p = get(1);
if(Mi[p] == linf) ans[i] = -1;
else ans[i] = Mi[p];
int u = del[i - 1];
int v = edges[u].fi;
uni(u , v);
}
for(int i = 1; i <= q; i++)
{
cout << ans[i] << "\n";
}
}
/**
**/
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#define task ""
if(fopen(task".inp","r"))
{
freopen(task".inp","r",stdin);
freopen(task".out","w",stdout);
}
int tc; tc = 1;
while(tc--) solve();
//execute;
}
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