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 fun iterateKSizeSets(M: Int, k: Int, f: (Int) -> Unit) { var set = 0 for (i in 0 until k) { set = set or (1 shl i) } while(set < (1 shl M)) { f(set) val x = set and -set // 最初の1のビット val y = set + x set = (set and y.inv()) / x shr 1 or y } } class Solver(stream: InputStream, private val out: java.io.PrintWriter) { private val reader = BufferedReader(InputStreamReader(stream), 32768) fun solve() { val N0 = ni() val g = Array(N0){na(N0)} fun dfs(N: Int, P: IntArray): LongArray { debug{"dps($N) P:${P.toList()}"} if (N == 1) return longArrayOf(1) fun split(set: Int): Pair { val P0 = IntArray(N/2) // P基準 val P1 = IntArray(N/2) var j = 0 var k = 0 for (i in 0 until N) { if (set shr i and 1 == 1) { P0[j++] = i } else { P1[k++] = i } } debug{"P0:${P0.toList()} P1:${P1.toList()}"} return Pair(P0, P1) } val win = LongArray(N) // P基準 iterateKSizeSets(N, N/2) { set -> val (P0, P1) = split(set) // P基準 val res0 = dfs(N / 2, P0.map{P[it]}.toIntArray()) // 絶対基準で渡す val res1 = dfs(N / 2, P1.map{P[it]}.toIntArray()) for (i in 0 until N/2) { for (j in 0 until N/2) { if (g[P[P0[i]]][P[P1[j]]] == 1) { // 絶対基準でgを調べる win[P0[i]] += res0[i] * res1[j] } else { win[P1[j]] += res0[i] * res1[j] } } } } return win } val ans = dfs(N0, IntArray(N0){it}) ans.forEach { println(it) } } 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()