From 4919169d97ee5eea97e0a25e7ffb1a89804096a7 Mon Sep 17 00:00:00 2001
From: Ren Baoshuo <i@baoshuo.ren>
Date: Wed, 6 Oct 2021 10:07:21 +0800
Subject: [PATCH] D - Black and White Tree

https://atcoder.jp/contests/agc014/submissions/26377341
---
 AtCoder/AGC014/D/D.cpp | 33 +++++++++++++++++++++++++++++++++
 1 file changed, 33 insertions(+)
 create mode 100644 AtCoder/AGC014/D/D.cpp

diff --git a/AtCoder/AGC014/D/D.cpp b/AtCoder/AGC014/D/D.cpp
new file mode 100644
index 00000000..65a8d140
--- /dev/null
+++ b/AtCoder/AGC014/D/D.cpp
@@ -0,0 +1,33 @@
+#include <bits/stdc++.h>
+
+using namespace std;
+
+int n, u, v;
+vector<int> g[100005];
+bool flag, vis[100005];
+
+void dfs(int u, int f) {
+    if (flag) return;
+    for (int i : g[u]) {
+        if (i != f) dfs(i, u);
+    }
+    if (!vis[u]) {
+        if (f == -1 || vis[f]) {
+            flag = true;
+        } else {
+            vis[f] = vis[u] = true;
+        }
+    }
+}
+
+int main() {
+    cin >> n;
+    for (int i = 1; i < n; i++) {
+        cin >> u >> v;
+        g[u].push_back(v);
+        g[v].push_back(u);
+    }
+    dfs(1, -1);
+    cout << (flag ? "First" : "Second") << endl;
+    return 0;
+}