#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 ii pair <int , int>
#define iii pair <int , ii>
#define se second
#define fi first
#define all(v) (v).begin() , (v).end()
#define Unique(v) sort(all(v)) , v.resize(unique(all(v)) - v.begin())
#define bit(x,i) (((x) >> (i)) & 1LL)
#define flip(x,i) ((x) ^ (1LL << (i)))
#define ms(d,x) memset(d , x , sizeof(d))
#define exist __exist
#define ends __ends
#define visit visited
#define left __left
#define right __right
#define sitingfake 1
#define orz 1
//constant
const long long mod = 1e9 + 7;
const long long linf = 4557430888798830399LL;
const long long nlinf = -4485090715960753727LL;
const int inf = 1061109567;
const int ninf = -1044266559;
const int dx[] = {0 , -1 , 0 , 1};
const 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;
}
void Plus(ll & a ,ll b)
{
b %= mod;
a += b;
if(a < 0) a += mod;
a %= mod;
return;
}
void Mul(ll & a, ll b)
{
(a *= (b % mod)) %= mod;
return;
}
//code
const int maxn = 3e5 + 5;
int n , q;
bool isc[maxn];
int par[maxn];
int in[maxn] , out[maxn] , depth[maxn];
int timer;
ii arr[maxn * 2][20];
vector <ii> a[maxn];
ll val[maxn] , SumW[maxn];
vector <ll> sumChild[maxn];
int numchild[maxn] , pos[maxn];
ll stateOn[maxn];
int state[maxn] , sz[maxn];
ll ans;
void dfs(int u , int p)
{
in[u] = ++timer;
arr[timer][0] = ii(depth[u] , u);
for(ii i : a[u])
{
int v = i.fi;
ll w = i.se;
if(v != p)
{
depth[v] = depth[u] + 1;
val[v] = val[u] + w;
dfs(v , u);
arr[++timer][0] = ii(depth[u] , u);
}
}
out[u] = timer;
}
void BuildLca()
{
for(int j = 1; (1 << j) <= timer ; j++)
{
for(int i = 1; i + (1 << j) - 1 <= timer ; i++)
{
arr[i][j] = min(arr[i][j-1] , arr[i + (1 << (j - 1))][j-1]);
}
}
}
inline int lca(int u , int v)
{
int l = min(in[u] , in[v]) , r = max(in[u] , in[v]);
int k = __lg(r - l + 1);
ii ans = min(arr[l][k] , arr[r - (1 << k) + 1][k]);
return ans.se;
}
inline ll dist(int u ,int v)
{
return val[u] + val[v] - 2 * val[lca(u ,v)];
}
void dfscount(int u , int p)
{
sz[u] = 1;
for(ii i : a[u])
{
if(!isc[i.fi] && i.fi != p)
{
dfscount(i.fi , u);
sz[u] += sz[i.fi];
}
}
}
int Centroid(int u , int p , int Size)
{
for(ii i : a[u])
{
int v = i.fi;
if(v != p && !isc[v] && sz[v] > Size / 2)
{
return Centroid(v , u , Size);
}
}
return u;
}
void cd(int u , int pre)
{
dfscount(u , -1);
int c = Centroid(u , -1 , sz[u]);
isc[c] = 1;
par[c] = pre;
pos[c] = numchild[pre]++;
//cout << c << " " << pre << endl;
for(ii i : a[c])
{
int v = i.fi;
if(!isc[v])
{
cd(v , c);
}
}
}
void Add(int u)
{
int cur = u;
int pre = -1;
do
{
if(pre == -1)
{
ans += stateOn[cur] * dist(u , cur) + SumW[cur];
}
else
{
ans += (stateOn[cur] - stateOn[pre]) * dist(u , cur) + SumW[cur] - sumChild[cur][pos[pre]];
}
pre = cur;
cur = par[cur];
}
while(cur != 0);
cur = u;
pre = -1;
do
{
//if(u == 2) cout << cur << endl;
SumW[cur] += dist(u , cur);
stateOn[cur]++;
if(pre != -1)
{
sumChild[cur][pos[pre]] += dist(u , cur);
}
pre = cur;
cur = par[cur];
}
while(cur != 0);
//cout << u << " " << ans << endl;
}
void Del(int u)
{
int cur = u;
int pre = -1;
do
{
SumW[cur] -= dist(u , cur);
stateOn[cur]--;
if(pre != -1)
{
sumChild[cur][pos[pre]] -= dist(u , cur);
}
pre = cur;
cur = par[cur];
}
while(cur != 0);
cur = u;
pre = -1;
do
{
if(pre == -1)
{
ans -= stateOn[cur] * dist(u , cur) + SumW[cur];
}
else
{
ans -= ((stateOn[cur] - stateOn[pre]) * dist(u , cur) + SumW[cur] - sumChild[cur][pos[pre]]);
}
pre = cur;
cur = par[cur];
}
while(cur != 0);
}
void solve(void)
{
int subtask; cin >> subtask;
cin >> n >> q;
for(int i = 1; i < n; i++)
{
int u , v , c;
cin >> u >> v >> c;
a[u].push_back(ii(v , c));
a[v].push_back(ii(u , c));
}
for(int i = 1; i <= n; i++)
{
char c ; cin >> c;
if(c == '1') state[i] = 1;
}
dfs(1 , -1);
BuildLca();
cd(1 , 0);
for(int i = 1; i <= n; i++)
{
sumChild[i] = vector <ll> (numchild[i] + 1 , 0);
}
for(int i = 1; i <= n; i++)
{
if(state[i]) Add(i);
}
cout << ans << " ";
while(q--)
{
int u; cin >> u;
state[u] ^= 1;
if(state[u]) Add(u);
else Del(u);
cout << ans << " ";
}
}
/**
1
6 0
1 2 2
1 3 1
3 4 2
3 5 3
3 6 1
011010
**/
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#define task "bubblempire"
if(fopen(task".inp","r"))
{
freopen(task".inp","r",stdin);
freopen(task".out","w",stdout);
}
int tc = 1;
// cin >> tc;
while(tc--) solve();
// execute;
}
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