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)}
    val memo = arrayOfNulls<LongArray>(1 shl 16)
    var cnt = 0
    fun dfs(N: Int, P: IntArray): LongArray {
//      debug{"dps($N) P:${P.toList()}"}
      cnt++
      if (N == 1) return longArrayOf(1)
      if (N == 4) {
        var s = 0
        for (i in 0 until N) {
          s *= 16
          s += P[i]
        }
        if (memo[s] != null) return memo[s]!!
      }

      fun split(set: Int): Pair<IntArray, IntArray>  {
        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]
            }
          }
        }
      }

      if (N == 4) {
        var s = 0
        for (i in 0 until N) {
          s *= 16
          s += P[i]
        }
        memo[s] = win
      }

      return win
    }

    val ans = dfs(N0, IntArray(N0){it})
    debug{"cnt:$cnt"}
    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<IntArray> {
    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<LongArray>) {
    if (isDebug) {
      for (a in A) {
        debug(a)
      }
    }
  }
  private inline fun debugDim(A: Array<IntArray>) {
    if (isDebug) {
      for (a in A) {
        debug(a)
      }
    }
  }
  private inline fun debugDim(A: Array<BooleanArray>) {
    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()