this a dfs funciton code snippet:-
void dfs(int u, int p)
            {
                if(p!=-1)d[u] = d[p]+1;
                for(int i: v[u])
                {
                    if(i==p)continue;
                    dfs(i, u);
                }
            }
i am not understanding this dfs implementation which came in the editorial of of a contest. the complete code is as follows.it would be really nice if someone could help me understand this piece of code
#include <bits/stdc++.h>
        using namespace std;
        #define int long long int
        vector<int> d;
        vector< vector<int> > v;
        void dfs(int u, int p)
        {
            if(p!=-1)d[u] = d[p]+1;
            for(int i: v[u])
            {
                if(i==p)continue;
                dfs(i, u);
            }
        }
#undef int
int main()
{
#define int long long int
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n;
cin>>n;
v.resize(n);
d.resize(n);
for(int i = 0;i<n-1;i++)
{
    int x, y;
    cin>>x>>y;
    v[x-1].push_back(y-1);
    v[y-1].push_back(x-1);
}
d[0] = 0;
dfs(0, -1);
int q;
cin>>q;
while(q--)
{
    int x, y;
    cin>>x>>y;
    if((d[x-1]+d[y-1])&1)cout<<"Odd"<<endl;
    else cout<<"Even"<<endl;
}
return 0;
}
 
    