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| #include <bits/stdc++.h> using namespace std; #define rep(i, a, n) for (int i = a; i <= n; i++) #define frep(i, a, n) for (int i = a; i >= n; i--) #define ll long long #define int long long const int N=1e6+100; int a[N]; int sum; int now; vector<int>G[N]; void dfs(int u,int fa) { a[u]=1; for(auto v:G[u]) { if(v==fa) { continue; } dfs(v,u); a[u]+=a[v]; } if(a[u]>=now) { sum++; a[u]=0; } } void solve() { int n; cin>>n; int k; cin>>k; rep(i,1,n) { G[i].clear(); } rep(i,1,n-1) { int x,y; cin>>x>>y; G[x].push_back(y); G[y].push_back(x); } int l=1; int r=n; int root; rep(i,1,n) { if(G[i].size()==1) { root=i; } } while(l<r) { int mid=(l+r+1)>>1; now=mid; sum=0; dfs(root,0); if(sum>=k+1) { l=mid; } else { r=mid-1; } } cout<<l<<'\n';
} signed main() { ios::sync_with_stdio(0),cin.tie(0),cout.tie(0);
int t=1; cin>>t; while(t--) { solve(); } return 0; }
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