#include using namespace std; typedef long long ll; typedef vector VI; typedef vector VVI; typedef vector VL; typedef vector> VVL; typedef pair Pair; typedef tuple tpl; #define ALL(a) (a).begin(),(a).end() #define SORT(c) sort((c).begin(),(c).end()) #define REVERSE(c) reverse((c).begin(),(c).end()) #define EXIST(m,v) (m).find((v)) != (m).end() #define LB(a,x) lower_bound((a).begin(), (a).end(), x) - (a).begin() #define UB(a,x) upper_bound((a).begin(), (a).end(), x) - (a).begin() #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define RFOR(i,a,b) for(int i=(a)-1;i>=(b);--i) #define RREP(i,n) RFOR(i,n,0) #define en "\n" constexpr double EPS = 1e-9; constexpr double PI = 3.1415926535897932; constexpr int INF = 2147483647; constexpr long long LINF = 1LL<<60; constexpr long long MOD = 1000000007; // 998244353; template inline bool chmax(T& a, T b){if(a inline bool chmin(T& a, T b){if(a>b){a=b;return true;}return false;} bool is_path(VI& deg){ for(int x : deg){ if(x>2) return false; } return true; } VVI edge; VI n_leaves, vis, depth; void dfs(int v, int d){ vis[v] = 1; depth[v] = d; for(int to : edge[v]){ if(vis[to]) continue; n_leaves[v]++; dfs(to, d+1); } return; } void Main(){ int N, mx=0, root=-1; cin >> N; VI deg(N,0); edge.resize(N); REP(i,N-1){ int a,b; cin >> a >> b; a--; b--; edge[a].push_back(b); edge[b].push_back(a); deg[a]++; deg[b]++; if(chmax(mx, deg[a])) root = a; if(chmax(mx, deg[b])) root = b; } if(is_path(deg)){ cout << "Yes" << en; return; } n_leaves.resize(N,0); vis.resize(N,0); depth.resize(N,0); dfs(root,0); VI v; REP(i,N){ if(i == root) continue; if(n_leaves[i]>1){ cout << "No" << en; return; } if(n_leaves[i]==0) v.push_back(depth[i]); } int sz = v.size(); REP(i,sz-1){ if(v[i] != v[i+1]){ cout << "No" << en; return; } } cout << "Yes" << en; return; } int main(void){ cin.tie(0);cout.tie(0);ios_base::sync_with_stdio(0);cout<>t; REP(_,t) Main(); return 0; }