#include <iostream>
#include <vector>
using namespace std;
int t,n,k,a,b;
vector<vector<int>>g;
vector<int>dp;
int rez=0,sol,cnt;
bool vizitat[100005];
void dfs_dinamica(int m, int nod)
{
dp[nod]=1;
vizitat[nod]=1;
for(auto vecin:g[nod])
{
if(vizitat[nod]==0)
{
dfs_dinamica(m,vecin);
dp[nod]+=dp[vecin];
}
}
if(dp[nod]>=m)
{
dp[nod]=0;
rez++;
}
}
void caut_bin()
{
int st=1,dr=n,m;
rez=0;
sol=0;
while(st<=dr)
{
m=(st+dr)/2;
cnt=0;
for(int i=1; i<=n; i++)
{
vizitat[i]=0;
}
dfs_dinamica(m,1);
if(rez>=k)
{c
st=m+1;
sol=m;
}
else
{
dr=m-1;
}
}
}
int main()
{
cin>>t;
for(int j=1; j<=t; j++)
{
cin>>n>>k;
g.resize(n+1);
dp.resize(n+1);
g=vector<vector<int>> {n+1};
dp=vector<int> {n+1};
for(int i=1; i<=n-1; i++)
{
cin>>a>>b;
g[a].push_back(b);
g[b].push_back(a);
}
caut_bin();
cout<<sol<<"\n";
}
}
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