➤  Problem Link : 1325C. Ehab and Path  
✅ C++ Solution :
 
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
int n;
vector<int> adj[100001];
vector<pair<int,int> > edges;
vector<pair<int,int> > srt;
map<pair<int,int>,ll > mp;
ll sz[100001];
bool comp(pair<int,int> x, pair<int,int> y)
{
	return mp[x]<mp[y];
}
ll dfs1(int v,int p)
{
	sz[v]=1;
	for(int i=0;i<adj[v].size();i++)
	{
		if(adj[v][i]==p)
			continue;
		sz[v]+=dfs1(adj[v][i],v);
	//	cout<<v<<" "<<sz[v]<<endl;
	}
	
	return sz[v];
}
void dfs2(int v,int p)
{
	pair<int,int> pr=make_pair(min(v,p),max(p,v));
	mp[pr]=sz[v]*(sz[1]-sz[v]);
//	cout<<p<<" "<<v<<" "<<mp[pr]<<endl;
	for(int i=0;i<adj[v].size();i++)
	{
		if(adj[v][i]==p)
			continue;
		dfs2(adj[v][i],v);
	}
}
int main()
{
	cin>>n;
	int u,v;
	for(int i=1;i<n;i++)
	{
		cin>>u>>v;
		adj[u].push_back(v);
		adj[v].push_back(u);
		edges.push_back(make_pair(min(u,v),max(u,v)));
		srt.push_back(make_pair(min(u,v),max(u,v)));
	}
	dfs1(1,-1);
	for(int i=0;i<adj[1].size();i++)
	{
		dfs2(adj[1][i],1);
	}
	sort(srt.begin(),srt.end(),comp);
//	cout<<srt[0].first<<srt[0].second<<endl;
	int q=0;
	for(int i=0;i<srt.size();i++)
		mp[srt[i]]=q++;
	for(int i=0;i<edges.size();i++)
		cout<<mp[edges[i]]<<"\n";
}
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