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#pragma GCC optimize(2) #pragma GCC optimize(3, "Ofast", "inline") #include<bits/stdc++.h> using namespace std;
typedef long long ll; typedef __int128 int128;
namespace FastIO { char buf[1 << 20], * p1, * p2; #define getchar() (p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 1 << 20, stdin), p1 == p2) ? EOF : *p1++) template<typename T> inline T read(T& x) { x = 0; int f = 1; char ch; while (!isdigit(ch = getchar())) if (ch == '-') f = -1; while (isdigit(ch)) x = (x << 1) + (x << 3) + (ch ^ 48), ch = getchar(); x *= f; return x; } template<typename T, typename... Args> inline void read(T& x, Args &...x_) { read(x); read(x_...); return; } inline ll read() { ll x; read(x); return x; } inline void read(char* s) { scanf("%s", s + 1); } }; using namespace FastIO;
const int N = 1e5 + 10;
struct Edge { int to, nt; Edge() {} Edge(int to, int nt) : to(to), nt(nt) {} }e[N << 1]; int hd[N], cnte; void AddEdge(int u, int v) { e[++cnte] = Edge(v, hd[u]); hd[u] = cnte; }
int n, m; pair<int , pair<int , int > >a[N];
inline void Input() { read(n, m); int u, v; for(int i = 1; i < n; i++) { read(u, v); AddEdge(u, v); AddEdge(v, u); } for(int i = 1; i <= m; i++) { read(a[i].second.first, a[i].second.second); } }
int dep[N]; int st[N][20]; int vis[N];
inline void Dfs(int u, int fa) { dep[u] = dep[fa] + 1; st[u][0] = fa; for(int i = 1; i < 20; i++) { st[u][i] = st[st[u][i - 1]][i - 1]; } for(int i = hd[u]; i; i = e[i].nt) { int v = e[i].to; if(v == fa) continue; Dfs(v, u); } }
inline int LCA(int u, int v) { if(dep[u] < dep[v]) swap(u, v); for(int i = 19; i >= 0; i--) { if(dep[st[u][i]] >= dep[v]) { u = st[u][i]; } } if(u == v) return u; for(int i = 19; i >= 0; i--) { if(st[u][i] != st[v][i]) { u = st[u][i], v = st[v][i]; } } return st[u][0]; }
inline void Visit(int u) { vis[u] = 1; for(int i = hd[u]; i ; i = e[i].nt) { int v = e[i].to; if(vis[v] || v == st[u][0]) continue; Visit(v); } }
inline void Work() { Dfs(1, 0); for(int i = 1; i <= m; i++) { a[i].first = LCA(a[i].second.first, a[i].second.second); cout << a[i].first << ' ' << a[i].second.first << ' ' << a[i].second.second << endl; } sort(a + 1, a + m + 1, [](pair<int , pair<int , int > > a, pair<int , pair<int , int > > b) { return dep[a.first] > dep[b.first]; }); int ans = 0; for(int i = 1; i <= m; i++) { if(!vis[a[i].second.first] && !vis[a[i].second.second]){ ans++; Visit(a[i].first); } } printf("%d", ans); }
int main() { int T = 1; while (T--) { Input(); Work(); } return 0; }
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