import java.io._
import java.util.StringTokenizer
import scala.util.control.Breaks.{breakable,break}

object Main extends App {
  val in = new InputReader(System.in)
  val pw = new PrintWriter(System.out)

  val N = in.next().toInt
  val S = Array.ofDim[Char](2*N, 2*N)

  for (y <- 1 to N){
    val s = in.next()
    for (x <- 1 to N){
      S(y)(x) = s(x-1)
    }
  }

  for (y <- N+1 to 2*N-1){
    for (x <- 1 to N){
      S(y)(x) = S(y-N)(x)
    }
  }
  for (y <- 1 to N){
    for (x <- N+1 to 2*N-1){
      S(y)(x) = S(y)(x-N)
    }
  }
  for (y <- N+1 to 2*N-1){
    for (x <- N+1 to 2*N-1){
      S(y)(x) = S(y-N)(x-N)
    }
  }


  // process
  var ans = 0
  var ny = 1
  var nx = 1

  val dp = Array.ofDim[Long](2*N, 2*N)
  var tmp = 42L
  for(y <- 1 to 2*N-1; x <- y+1 to 2*N-1) {
    if(S(y)(x) == S(x)(y)) {
      dp(y)(x) = tmp
    }
  }
  while(ny <= N && nx <= N) {
    var flag = true
    for (y <- ny to ny+N-1; x <- y+1 to ny+N-1) {
      if(dp(y)(x) != tmp) {
        flag = false
      }
    }
    if(flag)
      ans += 1
    ny += 1
    nx += 1
  }


  //// for y
  for(sty <- 2 to N) {
    tmp += 1

    for(y <- sty to 2*N-1; x <- 1 to 2*N-1 - (sty-1)) {
      if(S(y)(x) == S(x+(sty-1))(y-(sty-1))) {
        dp(y)(x) = tmp
      }
    }

    ny = sty; nx = 1
    while(ny <= N && nx <= N) {
      var flag = true
      for (y <- ny to ny+N-1; x <- nx + y-ny+1 to nx+N-1) {
        if(dp(y)(x) != tmp) {
          flag = false
        }
      }
      if(flag){
        ans += 1
      }
      
      ny += 1; nx += 1
    }

  }


  //// for x
  for(stx <- 2 to N) {
    tmp += 1

    for(x <- stx to 2*N-1; y <- 1 to 2*N-1 - (stx-1)) {
      if(S(y)(x) == S(x-(stx-1))(y+(stx-1))) {
        dp(y)(x) = tmp
      }
    }
    
    ///
    nx = stx; ny = 1
    while(ny <= N && nx <= N) {
      var flag = true

      for (x <- nx to nx+N-1; y <- ny + x-nx+1 to ny+N-1) {
        if(dp(y)(x) != tmp) {
          flag = false
        }
      }
      if(flag){
        ans += 1
      }
      
      ny += 1; nx += 1
    }

  }


  println(ans)
}


class InputReader(stream: InputStream) {
  private val reader = new BufferedReader(new InputStreamReader(stream))
  private var tokenizer: StringTokenizer = new StringTokenizer(reader.readLine())
  def next(): String = {
    while (!tokenizer.hasMoreTokens()) {
      tokenizer = new StringTokenizer(reader.readLine())
    }
    tokenizer.nextToken()
  }
}

