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- #include <bits/stdc++.h>
- using namespace std;
- #define PB push_back
- #define ZERO (1e-10)
- #define INF int(1e9+1)
- #define CL(A,I) (memset(A,I,sizeof(A)))
- #define DEB printf("DEB!\n");
- #define D(X) cout<<" "<<#X": "<<X<<endl;
- #define EQ(A,B) (A+ZERO>B&&A-ZERO<B)
- typedef long long ll;
- typedef pair<ll,ll> pll;
- typedef vector<int> vi;
- typedef pair<int,int> ii;
- typedef vector<ii> vii;
- #define IN(n) int n;scanf("%d",&n);
- #define FOR(i, m, n) for (int i(m); i < n; i++)
- #define F(n) FOR(i,0,n)
- #define FF(n) FOR(j,0,n)
- #define FT(m, n) FOR(k, m, n)
- #define aa first
- #define bb second
- void ga(int N,int *A){F(N)scanf("%d",A+i);}
- #define MX (10004)
- vi g[MX];
- int P[MX],S[MX],N,a,b,e,q[MX],T,H[MX],W[MX],p;
- void dfs(int u,int p){
- P[u]=p;
- for(auto&h:g[u])if(h^p)++S[u],dfs(h,u);
- }
- void bfs(){
- if(N==2){T=1;return;}
- e=0;
- F(N)if(!S[i])q[e++]=i;
- F(e){
- T+=H[a=q[i]]/2,p=P[a];
- if(p^a){
- if(H[a]&1||(W[a]&&!H[a]))++H[p];
- else if(!H[a])++W[p];
- if(!--S[p])q[e++]=p;
- }
- }
- // T+=(!*H&&*W>1)||(*H&1);
- T+=(!*H&&*W)||(*H&1);
- assert(e==N);
- }
- int main(void){
- IN(_)F(_){
- for(auto&h:g)h.clear();
- scanf("%d",&N),CL(S,0),CL(H,0),CL(W,0),T=0;
- F(N-1)scanf("%d%d",&a,&b),g[a].PB(b),g[b].PB(a);
- dfs(0,0),bfs(),printf("%d\n",T);
- }
- return 0;
- }
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