#include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define MOD (long long int)(1e9+7) #define ll long long int #define rep(i,n) for(int i=0; i<(int)(n); i++) #define reps(i,n) for(int i=1; i<=(int)(n); i++) #define REP(i,n) for(int i=n-1; i>=0; i--) #define REPS(i,n) for(int i=n; i>0; i--) #define INF (int)(1123456789) #define LINF (long long int)(112345678901234567) #define chmax(a, b) a = (((a)<(b)) ? (b) : (a)) #define chmin(a, b) a = (((a)>(b)) ? (b) : (a)) #define all(v) v.begin(), v.end() const int N = (int)3e5; ll mpow(ll a, ll b){ if(b==0) return 1; else if(b%2==0){ll memo = mpow(a,b/2); return memo*memo%MOD;} else return mpow(a,b-1) * a % MOD; } ll lpow(ll a, ll b){ if(b==0) return 1; else if(b%2==0){ll memo = lpow(a,b/2); return memo*memo;} else return lpow(a,b-1) * a; } ll gcd(ll a, ll b){ if(b==0) return a; else return gcd(b, a%b); } vector kaijo_memo; ll kaijo(ll n){ if(kaijo_memo.size() > n) return kaijo_memo[n]; if(kaijo_memo.size() == 0) kaijo_memo.push_back(1); while(kaijo_memo.size() <= n) kaijo_memo.push_back(kaijo_memo[kaijo_memo.size()-1] * kaijo_memo.size() % MOD); return kaijo_memo[n]; } vector gyaku_kaijo_memo; ll gyaku_kaijo(ll n){ if(gyaku_kaijo_memo.size() > n) return gyaku_kaijo_memo[n]; if(gyaku_kaijo_memo.size() == 0) gyaku_kaijo_memo.push_back(1); while(gyaku_kaijo_memo.size() <= n) gyaku_kaijo_memo.push_back(gyaku_kaijo_memo[gyaku_kaijo_memo.size()-1] * mpow(gyaku_kaijo_memo.size(), MOD-2) % MOD); return gyaku_kaijo_memo[n]; } ll nCr(ll n, ll r){ if(n == r) return 1;//0個の丸と-1個の棒みたいな時に時に効く?不安. if(n < r || r < 0) return 0; ll ret = 1; ret *= kaijo(n); ret %= MOD; ret *= gyaku_kaijo(r); ret %= MOD; ret *= gyaku_kaijo(n-r); ret %= MOD; return ret; } vector R[N],B[N]; bool checked[N],exist[N]; ll dp[N][3][2]; void saiki(int now){ if(checked[now]) return; checked[now] = true; vector child; rep(i,R[now].size()){ int next = R[now][i]; if(exist[next] && !checked[next]){ child.push_back(next); } } rep(i,child.size()){ saiki(child[i]); } ll sum = 0; ll most = -INF*(ll)10; ll second = -INF*(ll)10; ll twoMost = -INF*(ll)10; int boo = B[now].size()%2; rep(i,child.size()){ int next = child[i]; int b; if(dp[next][0][0] < INF-30){ b = 0; }else{ b = 1; boo++; boo%=2; } sum += dp[next][0][b] + b; ll score = dp[next][0][b] - dp[next][1][1-b] + b*2-1; if(most <= score){ second = most; most = score; }else if(second <= score){ second = score; } ll twoScore = dp[next][0][b] - dp[next][2][b]; chmax(twoMost, twoScore); } chmin(dp[now][0][boo],sum); chmin(dp[now][1][1-boo],sum - most); chmin(dp[now][2][boo],min(sum - most - second, sum - twoMost)); if(B[now].size()%2 == 1){ chmin(dp[now][2][boo],dp[now][1][1-boo]); } //cout<>n; rep(i,n-1){ ll a,b;cin>>a>>b;a--;b--; R[a].push_back(b); R[b].push_back(a); checked[i] = false; } rep(i,n-1){ ll c,d;cin>>c>>d;c--;d--; B[c].push_back(d); B[d].push_back(c); } rep(i,n-1){ rep(j,3){ rep(k,2){ dp[i][j][k] = INF; } } } sakujo(0); /*rep(i,n-1){ rep(j,3){ rep(k,2){ cout<