import java.io.BufferedReader import java.io.InputStream import java.io.InputStreamReader import java.lang.AssertionError import java.util.* import kotlin.math.abs import kotlin.math.max import kotlin.math.min val MOD = 1_000_000_007 /** * (dist, parent, queue) * @param rt ルートノードを指定する。nullの場合は全ノード辿るまで繰り返す */ fun traceBfs(g: Array, rt: Int? = 0): Array { val n = g.size val q = IntArray(n) val d = IntArray(n) val p = IntArray(n){-2} var h = 0 var t = 0 fun bfs(rt: Int) { p[rt] = -1 q[t++] = rt d[rt] = 0 while (h < t) { val v = q[h++] for (i in g[v].indices) { // Listに変更したときこちらの方法でないとiterator生成して遅くなる val u = g[v][i] if (p[u] == -2) { p[u] = v q[t++] = u d[u] = d[v] + 1 } } } } if (rt != null) { bfs(rt) } else { for (v in 0 until n) { if (p[v] != -2) continue bfs(v) } } return arrayOf(d, p, q) } fun packUGraph(n: Int, from: IntArray, to: IntArray): Array { val p = IntArray(n) val m = from.size for (i in 0 until m) { ++p[from[i]] ++p[to[i]] } val g = Array(n){IntArray(p[it])} for (i in 0 until m) { g[from[i]][--p[from[i]]] = to[i] g[to[i]][--p[to[i]]] = from[i] } return g } class Solver(stream: InputStream, private val out: java.io.PrintWriter) { private val reader = BufferedReader(InputStreamReader(stream), 32768) private val N = ni() fun solve() { val th = Thread(null, Runnable { _solve() },"solve", 1 shl 26) th.start() th.join() } fun _solve() { out.println(if (solve2()) "Yes" else "No") } fun solve2(): Boolean { val (from, to) = na2(N - 1, -1) val g = packUGraph(N, from, to) val leaf = g.count { it.size == 1 } if (leaf == 2) return true val s = g.indexOfFirst { it.size == 1 } val path = mutableListOf() fun dfs(v: Int, par: Int): Boolean { path += v if (v != s && g[v].size == 1) return true for (u in g[v]) { if (u == par) continue if (dfs(u, v)) return true } return false } dfs(s, -1) debug{"$path"} // if (path.size%2 == 0) return false val rt = path[path.size/2] debug{"rt:$rt"} val (dist, _, _) = traceBfs(g, rt) var ok = true for (v in 0 until N) { if (g[v].size == 1) { ok = ok && dist[v] == dist[s] } else if (v != rt) { ok = ok && g[v].size == 2 } } return ok } private val isDebug = try { // なんか本番でエラーでる System.getenv("MY_DEBUG") != null } catch (t: Throwable) { false } private var tokenizer: StringTokenizer? = null private fun next(): String { while (tokenizer == null || !tokenizer!!.hasMoreTokens()) { tokenizer = StringTokenizer(reader.readLine()) } return tokenizer!!.nextToken() } private fun ni() = next().toInt() private fun nl() = next().toLong() private fun ns() = next() private fun na(n: Int, offset: Int = 0): IntArray { return IntArray(n) { ni() + offset } } private fun nal(n: Int, offset: Int = 0): LongArray { val res = LongArray(n) for (i in 0 until n) { res[i] = nl() + offset } return res } private fun na2(n: Int, offset: Int = 0): Array { val a = Array(2){IntArray(n)} for (i in 0 until n) { for (e in a) { e[i] = ni() + offset } } return a } private inline fun debug(msg: () -> String) { if (isDebug) System.err.println(msg()) } /** * コーナーケースでエラー出たりするので、debug(dp[1])のように添え字付きの場合はdebug{}をつかうこと */ private inline fun debug(a: LongArray) { debug { a.joinToString(" ") } } private inline fun debug(a: IntArray) { debug { a.joinToString(" ") } } private inline fun debug(a: BooleanArray) { debug { toString(a) } } private inline fun toString(a: BooleanArray) = run{a.map { if (it) 1 else 0 }.joinToString("")} private inline fun debugDim(A: Array) { if (isDebug) { for (a in A) { debug(a) } } } private inline fun debugDim(A: Array) { if (isDebug) { for (a in A) { debug(a) } } } private inline fun debugDim(A: Array) { if (isDebug) { for (a in A) { debug(a) } } } /** * 勝手にimport消されるのを防ぎたい */ private fun hoge() { min(1, 2) max(1, 2) abs(-10) } private inline fun assert(b: Boolean) = run{if (!b) throw AssertionError()} } fun main() { val out = java.io.PrintWriter(System.out) Solver(System.`in`, out).solve() out.flush() }