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 class UnionFind(n: Int) { private val par = IntArray(n){it} private val rank = IntArray(n){1} // 集合の要素数 private val visits = IntArray(n) // 訪れた場所をfind毎に用意するのがもったいないのでつかいまわす fun find(x: Int): Int { var ptr = 0 var i = x while(par[i] != i) { visits[ptr++] = i i = par[i] } for (j in 0 until ptr) { par[visits[j]] = i } return i } private fun merge(node: Int, rt: Int): Int { par[node] = rt rank[rt] += rank[node] return rt } fun unite(x: Int, y: Int): Boolean { val x1 = find(x) val y1 = find(y) return if (x1 == y1) false else { if (rank[x1] < rank[y1]) merge(x1, y1) else merge(y1, x1) true } } fun isSame(x: Int, y: Int) = find(x) == find(y) fun isRoot(x: Int) = par[x] == x /** * xを解決する必要がないときは直にrankをみる */ fun cntNodes(x: Int): Int = rank[find(x)] fun inspect() = run{par} } data class Edge(val id: Int, val u: Int) class Solver(stream: InputStream, private val out: java.io.PrintWriter) { private val reader = BufferedReader(InputStreamReader(stream), 32768) fun solve() { val th = Thread(null, Runnable { if (!solve2()) { out.println("No") } },"solve", 1 shl 26) th.start() th.join() } fun solve2(): Boolean { val N = ni() val (from, to) = na2(N, -1) val g = Array(N){ mutableListOf()} val uf = UnionFind(N) for (i in 0 until N) { g[from[i]].add(Edge(i, to[i])) g[to[i]].add(Edge(i, from[i])) uf.unite(from[i], to[i]) } val edgeCnt = IntArray(N) for (i in 0 until N) { edgeCnt[uf.find(from[i])]++ } val ans = IntArray(N){-1} fun dfs2(v: Int, eId: Int) { ans[eId] = v debug{"dfs2($v $eId)"} for (e in g[v]) { if (ans[e.id] != -1) continue dfs2(e.u, e.id) } } val path = mutableSetOf() val visited = BooleanArray(N) // edgeを使ったか /** * @return cycleが見つかった */ fun dfs(v: Int) { path += v debug{"dfs($v) $path"} for (e in g[v]) { if (visited[e.id]) continue visited[e.id] = true if (path.contains(e.u)) { debug{"start dfs2 $v ${e.id}"} dfs2(v, e.id) } else { dfs(e.u) } } path -= v } for (v in 0 until N) { if (uf.isRoot(v)) { if (edgeCnt[v] != uf.cntNodes(v)) return false path.clear() dfs(v) } } out.println("Yes") ans.map{it+1}.forEach(out::println) return true } 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()} private inline fun assert(b: Boolean, f: () -> String) = run{if (!b) throw AssertionError(f())} companion object { // TestRunnerから呼びたいので単純なmainじゃだめ fun main() { val out = java.io.PrintWriter(System.out) Solver(System.`in`, out).solve() out.flush() } } } /** * judgeから呼ばれる */ fun main() = Solver.main()