Problem:
Score : 300 points

Problem Statement

You are given an array A of length N.
Your task is to divide it into several contiguous subarrays.
Here, all subarrays obtained must be sorted in either non-decreasing or non-increasing order.
At least how many subarrays do you need to divide A into?

Constraints

1 \leq N \leq 10^5

1 \leq A_i \leq 10^9

Each A_i is an integer.

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 ... A_N

Output

Print the minimum possible number of subarrays after division of A.

Sample Input 1

6
1 2 3 2 2 1

Sample Output 1

2

One optimal solution is to divide the array into [1,2,3] and [2,2,1].

Sample Input 2

9
1 2 1 2 1 2 1 2 1

Sample Output 2

5

Sample Input 3

7
1 2 3 2 1 999999999 1000000000

Sample Output 3

3

Solution in Kotlin (1.0.0) (judge verdict: Runtime Error)

fun main(args: Array<String>) {
    Program().solve()
}

class Program {
    fun solve() {
        val sc = MyScanner()
        val n = sc.nextInt()
        val a = sc.intList()

        var ans = 1
        var flag = a[0].compareTo(a[1])
        var i = 1
        while (i < n) {
            if (flag * a[i - 1].compareTo(a[i]) < 0) {
                if (i + 1 < n) {
                    flag = a[i].compareTo(a[i + 1])
                    i++
                }
                ans++
            } else {
                flag = a[i - 1].compareTo(a[i])
            }
            i++
        }
        println(ans)

    }
}


class MyScanner() {
    private var index = 0
    private var line = listOf<String>()

    fun next(): String {
        while (line.size <= index) {
            line = readLine()!!.split(' ')
            index = 0
        }
        return line[index++]
    }

    fun nextInt() = next().toInt()
    fun nextLong() = next().toLong()
    fun nextDouble() = next().toDouble()
    fun nextCharArray() = next().toCharArray()
    fun nextChar() = next()[0]

    fun strList(): List<String> {
        index = line.size
        return readLine()!!.split(' ')
    }

    fun intList() = strList().map { it.toInt() }
    fun longList() = strList().map { it.toLong() }
    fun doubleList() = strList().map { it.toDouble() }
}