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<bits/stdc++.h>
#include<chrono>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef string str;
typedef bool bl;
typedef vector<ll> vii;
typedef pair<ll,ll> pii;
typedef vector<pii> vpi;
#define ordered_set tree<pii,null_type,less<pii>,rb_tree_tag,tree_order_statistics_node_update>
#define fast ios_base::sync_with_stdio(0);cin.tie();
#define test ll qqqqq;cin>>qqqqq;while(qqqqq--)
#define test1 ll qqqqq=1;while(qqqqq--)
#define F first
#define S second
#define forn(i,n) for(int i=0;i<n;i++)
#define forx(i,j,n) for(int i=j;i<n;i++)
#define pb push_back
#define eb emplace_back
#define pob pop_back
#define all(v) v.begin(),v.end()
#define lb lower_bound
#define ub upper_bound
#define pow powww
#define prtll(x) printf("%lld",x)
#define prtld(x) printf("%Lf",x)
#define prtst(x) printf("%s",x)
#define prtch(x) printf("%c",x)
#define measure chrono::high_resolution_clock::now()
#define duration chrono::duration_cast<chrono::milliseconds>(end-start)
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
const ll dx[]{1,0,-1,0,1,-1,1,-1};
const ll dy[]{0,-1,0,1,1,-1,-1,1};
const ll inf=1e18;
const ll mod=1e9+7;
const ll LM=1e8+1;
const ll M=6e6+10;
const ll MM=4002;
const ll MMM=501;
const ld pi=acos(-1);
//const ll mod=998244353;
ll pow(ll r,ll to,ll m=mod){
ll res=1;
r%=m;
while(to){
if((to&1)){
res*=r,res%=m;
}
r*=r,r%=m;
to=(to>>1);
}
return res;
}
ll le[M],ri[M],val[M],cnt[M],has[M],t=1;
ll n,m,a[M];
struct seg{
void update(ll l,ll r,ll v,ll x,ll lx,ll rx){
if(rx<=l||r<=lx)
return;
if(rx-lx==1){
val[x]+=v;
cnt[x]=1;
return;
}
if(rx<=r&&lx>=l){
has[x]+=v;
return;
}
else{
ll mid=((lx+rx)>>1);
if(le[x]==0){
le[x]=t++;
cnt[le[x]]=mid-lx;
}
if(ri[x]==0){
ri[x]=t++;
cnt[ri[x]]=rx-mid;
}
update(l,r,v,le[x],lx,mid);
update(l,r,v,ri[x],mid,rx);
if(val[ri[x]]+has[ri[x]]==val[le[x]]+has[le[x]])
cnt[x]=cnt[ri[x]]+cnt[le[x]];
else if(val[ri[x]]+has[ri[x]]<val[le[x]]+has[le[x]])
cnt[x]=cnt[ri[x]];
else
cnt[x]=cnt[le[x]];
val[x]=min(val[le[x]]+has[le[x]],val[ri[x]]+has[ri[x]]);
}
}
void update(ll l,ll r,ll v){
update(l,r,v,0,0,(1<<30));
}
ll query(){
return (1<<30)-cnt[0];
}
}s;
vector<pair<ll,pii>>v[M];
ll ans[M];
void dfs(ll r,ll pa){
ans[r]=s.query();
for(auto it:v[r]){
if(it.F==pa)
continue;
s.update(it.S.F,it.S.S,1);
dfs(it.F,r);
s.update(it.S.F,it.S.S,-1);
}
}
int main(){
fast
//freopen("gen.txt","r",stdin);
auto start=measure;
test1{
cin>>n>>m;
forn(i,n-1){
ll x,y,l,r;
cin>>x>>y>>l>>r;
v[x].pb({y,{l-1,r}});
v[y].pb({x,{l-1,r}});
}
dfs(1,-1);
forx(i,2,n+1){
cout<<ans[i]<<'\n';
}
}
auto end=measure;
auto dur=duration;
//cout<<fixed<<dur.count()<<'\n';
return 0;
}
/*
*/
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