From c82da59f310a28ab9d47bef06b54129f036a77e5 Mon Sep 17 00:00:00 2001
From: Taichi Yamakawa <xirckey@gmail.com>
Date: Mon, 3 May 2021 23:45:17 +0900
Subject: [PATCH] atcoder/typical90C

---
 atcoder/typical90/C/main.cpp | 102 +++++++++++++++++++++++++++++++++++
 lib/cpalgo/tree/README.md    |   1 +
 2 files changed, 103 insertions(+)
 create mode 100644 atcoder/typical90/C/main.cpp

diff --git a/atcoder/typical90/C/main.cpp b/atcoder/typical90/C/main.cpp
new file mode 100644
index 00000000..1ad5692c
--- /dev/null
+++ b/atcoder/typical90/C/main.cpp
@@ -0,0 +1,102 @@
+#include <bits/stdc++.h>
+
+class TreeDiameter {
+private:
+    struct edge {
+        size_t to;
+        uint64_t weight;
+    };
+
+    size_t N;
+    std::vector<std::vector<edge>> adj;
+    uint64_t inf;
+
+public:
+    // Time: O(V)
+    TreeDiameter(
+        size_t const N = 0,
+        uint64_t const inf = std::numeric_limits<uint64_t>::max()
+    )
+      : N(N)
+      , adj(N)
+      , inf(inf)
+    {
+        // Do nothing
+    }
+    // Time: O(1)
+    size_t size() const {
+        return N;
+    }
+    // u = [0,N), v = [0,N), w = [0,inf)
+    // Time: O(1)
+    void add_edge(size_t const u, size_t const v, uint64_t const w) {
+        if (u >= N) throw std::out_of_range("u");
+        if (v >= N) throw std::out_of_range("u");
+        if (w >= inf) throw std::out_of_range("w");
+        adj[u].push_back({ v, w });
+        adj[v].push_back({ u, w });
+    }
+    // s = [0,N)
+    // Time: O(E)
+    std::tuple<size_t, size_t, uint64_t> solve(size_t s = 0) const {
+        size_t u, v;
+        uint64_t w;
+        std::tie(u, w) = bfs(s);
+        std::tie(v, w) = bfs(u);
+        if (u > v) std::swap(u, v);
+        return std::make_tuple(u, v, w);
+    }
+
+private:
+    std::pair<size_t, uint64_t> bfs(size_t s) const {
+        std::vector<uint64_t> D(N, inf);
+        std::queue<size_t> Q;
+        Q.push(s);
+        D[s] = 0;
+        while (Q.size()) {
+            size_t u = Q.front(); Q.pop();
+            for (auto const& e : adj[u]) {
+                if (D[e.to] == inf) {
+                    D[e.to] = D[u] + e.weight;
+                    Q.push(e.to);
+                }
+            }
+        }
+        size_t v = N;
+        for (size_t i = 0; i < N; ++i) {
+            if (D[i] == inf) continue;
+            if (v == N || D[i] > D[v]) {
+                v = i;
+            }
+        }
+        return std::make_pair(v, D[v]);
+    }
+};
+
+
+using namespace std;
+using ll = int64_t;
+using ff = long double;
+
+int main() {
+    ios_base::sync_with_stdio(false);
+    cin.tie(0); cout.tie(0);
+
+    int N;
+    cin >> N;
+
+    TreeDiameter solver(N);
+    for (int i = 0; i < N - 1; i++) {
+        int A, B;
+        cin >> A >> B;
+        --A, --B;
+        solver.add_edge(A, B, 1);
+    }
+
+    size_t A, B;
+    uint64_t diameter;
+    tie(A, B, diameter) = solver.solve();
+    cout << (diameter + 1) << endl;
+
+    return 0;
+}
\ No newline at end of file
diff --git a/lib/cpalgo/tree/README.md b/lib/cpalgo/tree/README.md
index 3fe958c1..e09f1515 100644
--- a/lib/cpalgo/tree/README.md
+++ b/lib/cpalgo/tree/README.md
@@ -19,6 +19,7 @@ We can calculate *Diameter* in `O(V)`. `V` is the number of nodes.
 ### Challenges
 - [Diameter of a Tree - AOJ GRL5A](https://onlinejudge.u-aizu.ac.jp/problems/GRL_5_A)
 - [高橋くんと木の直径 - AtCoder ABC019D](https://atcoder.jp/contests/abc019/tasks/abc019_4)
+- [003 - Longest Circular Road](https://atcoder.jp/contests/typical90/tasks/typical90_c)
 
 ## Height
 *Height of a tree* is a max distance between a root node and another node in a tree.