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 <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <bits/stdc++.h>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ldb;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<ldb,ldb> pdd;
#define ff(i,a,b) for(int i = a; i <= b; i++)
#define fb(i,b,a) for(int i = b; i >= a; i--)
#define trav(a,x) for(auto& a : x)
#define sz(a) (int)(a).size()
#define fi first
#define se second
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// os.order_of_key(k) the number of elements in the os less than k
// *os.find_by_order(k) print the k-th smallest number in os(0-based)
const int mod = 1000000007;
const int inf = 1e9 + 5;
const int mxN = 200005;
int n, m;
vector<array<int,3>> g[mxN];
int idx = 0;
int root;
int ls[50 * mxN];
int rs[50 * mxN];
int mn[50 * mxN];
int cnt[50 * mxN];
int lenj[50 * mxN];
void propagate(int v, int tl, int tr){
if(lenj[v] != 0){
mn[v] += lenj[v];
if(tl != tr){
int mid = (tl + tr) / 2;
if(!ls[v]){
ls[v] = ++idx;
mn[ls[v]] = 0;
cnt[ls[v]] = mid - tl + 1;
}
lenj[ls[v]] += lenj[v];
if(!rs[v]){
rs[v] = ++idx;
mn[rs[v]] = 0;
cnt[rs[v]] = tr - mid;
}
lenj[rs[v]] += lenj[v];
}
lenj[v] = 0;
}
}
void lazyupd(int& v, int tl, int tr, int l, int r, int val){
if(!v){
v = ++idx;
mn[v] = 0;
cnt[v] = tr - tl + 1;
}
propagate(v, tl, tr);
if(tl > tr || l > tr || tl > r)return;
if(tl >= l && tr <= r){
lenj[v] += val;
propagate(v, tl, tr);
return;
}
int mid = (tl + tr) / 2;
lazyupd(ls[v], tl, mid, l, r, val); lazyupd(rs[v], mid + 1, tr, l, r, val);
mn[v] = min(mn[ls[v]], mn[rs[v]]);
cnt[v] = (mn[v] == mn[ls[v]] ? cnt[ls[v]] : 0)
+ (mn[v] == mn[rs[v]] ? cnt[rs[v]] : 0);
}
int res[mxN];
void dfs(int v, int p){
res[v] = m - (mn[root] == 0 ? cnt[root] : 0);
for(auto c : g[v]){
int u = c[0];
int l = c[1];
int r = c[2];
if(u != p){
lazyupd(root,1,m,l,r,1);
dfs(u, v);
lazyupd(root,1,m,l,r,-1);
}
}
}
int main(){
cin.tie(0)->sync_with_stdio(0);
cin >> n >> m;
ff(i,1,n - 1){
int u, v, l, r;
cin >> u >> v >> l >> r;
g[u].pb({v, l, r});
g[v].pb({u, l, r});
}
dfs(1, -1);
ff(i,2,n)cout << res[i] << '\n';
return 0;
}
/*
3 8
2 1 1 7
3 2 3 8
// probati bojenje sahovski
*/
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