From d4daef739b767a49f735c38b3ff24a9c6a97dc17 Mon Sep 17 00:00:00 2001
From: Aakanksha Garg <2024ucs0077@iitjammu.ac.in>
Date: Mon, 27 Oct 2025 06:04:58 +0000
Subject: [PATCH] added solution for tree matching

---
 9_tree_algorithms/tree_matching.cpp | 44 +++++++++++++++++++++++++++++
 1 file changed, 44 insertions(+)
 create mode 100644 9_tree_algorithms/tree_matching.cpp

diff --git a/9_tree_algorithms/tree_matching.cpp b/9_tree_algorithms/tree_matching.cpp
new file mode 100644
index 0000000..8e1c50e
--- /dev/null
+++ b/9_tree_algorithms/tree_matching.cpp
@@ -0,0 +1,44 @@
+#include <iostream>
+#include <vector>
+
+using namespace std;
+
+int n;
+vector<vector<int>> adj;
+vector<bool> matched;
+int matching_size = 0;
+
+void dfs(int u, int p) {
+    for (int v : adj[u]) {
+        if (v != p) {
+            dfs(v, u);
+            if (!matched[u] && !matched[v]) {
+                matched[u] = true;
+                matched[v] = true;
+                matching_size++;
+            }
+        }
+    }
+}
+
+int main() {
+    ios_base::sync_with_stdio(false);
+    cin.tie(NULL);
+
+    cin >> n;
+    adj.resize(n + 1);
+    matched.resize(n + 1, false);
+
+    for (int i = 0; i < n - 1; ++i) {
+        int a, b;
+        cin >> a >> b;
+        adj[a].push_back(b);
+        adj[b].push_back(a);
+    }
+
+    dfs(1, 0);
+
+    cout << matching_size << "\n";
+
+    return 0;
+}
\ No newline at end of file