This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
#define ll long long int
#define oo 2e9
#define pii pair<ll, int>
const int MAX = 1e5 + 5, LOGMAX = 31, treesize = MAX * LOGMAX;
int n, m;
vector<array<int, 3>> g[MAX];
pii tree[treesize];
int L[treesize], R[treesize], lazy[treesize];
int nxt = 2;
void relax(int node, int l, int r){
if(!lazy[node]) return;
tree[node].first += lazy[node];
if(l == r){
lazy[node] = 0;
return;
}
int mid = (l + r) / 2;
if(!L[node]){
L[node] = nxt++;
tree[L[node]] = {0, mid - l + 1};
}
if(!R[node]){
R[node] = nxt++;
tree[R[node]] = {0, r - mid};
}
lazy[L[node]] += lazy[node];
lazy[R[node]] += lazy[node];
lazy[node] = 0;
}
pii combine(pii a, pii b){
if(a.first == b.first){
return {a.first, a.second + b.second};
}
return min(a, b);
}
void update(int node, int l, int r, int ul, int ur, int val){
relax(node, l, r);
if(ur < l || r < ul) return;
if(ul <= l && r <= ur){
lazy[node] += val;
relax(node, l, r);
return;
}
int mid = (l + r) / 2;
if(!L[node]){
L[node] = nxt++;
tree[L[node]] = {0, mid - l + 1};
}
if(!R[node]){
R[node] = nxt++;
tree[R[node]] = {0, r - mid};
}
update(L[node], l, mid, ul, ur, val);
update(R[node], mid + 1, r, ul, ur, val);
tree[node] = combine(tree[L[node]], tree[R[node]]);
}
int ans[MAX];
void dfs(int node, int p, int l, int r){
if(node != 1){
update(1, 1, m, l, r, 1);
}
if(tree[1].first == 0){
ans[node] = m - tree[1].second;
}
else{
ans[node] = m;
}
for(auto to : g[node]){
if(p == to[0]) continue;
dfs(to[0], node, to[1], to[2]);
}
if(node != 1){
update(1, 1, m, l, r, -1);
}
}
int main(){
cin >> n >> m;
for(int i = 1; i < n; i++){
int a, b, l, r; cin >> a >> b >> l >> r;
g[a].push_back({b, l, r});
g[b].push_back({a, l, r});
}
tree[1] = {0, m};
dfs(1, 1, 0, 0);
for(int i = 2; i <= n; i++){
cout << ans[i] << '\n';
}
}
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