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 Java7 (OpenJDK 1.7.0) (judge verdict: Accepted)

import java.io.*;
import java.math.*;
import java.util.*;


public class Main {

	public static void main(String[] args) throws Exception {
		new Main().solve();
	}
	void solve() throws Exception {
		FastScanner in = new FastScanner(System.in);

		int N = in.nextInt();
		int[] a = new int[N];
		for (int i = 0; i < N; i++) {
			a[i] = in.nextInt();
		}

		int updown = 0;
		int last = a[0];
		int ret = 0;
		for (int i = 1; i < N; i++) {
			if (updown > 0 && a[i] >= last) {
				//
			} else if (updown < 0 && a[i] <= last) {
				//
			} else if (updown == 0) {
				updown = a[i] - last;
				//
			} else {
				// ng
				updown = 0;
				ret++;
			}
			last = a[i];
		}

		System.out.println(ret + 1);
	}
	//
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	class FastScanner {

		private InputStream _stream;
		private byte[] _buf = new byte[1024];
		private int _curChar;
		private int _numChars;
		private StringBuilder _sb = new StringBuilder();

		FastScanner(InputStream stream) {
			this._stream = stream;
		}

		public int read() {
			if (_numChars == -1) throw new InputMismatchException();
			if (_curChar >= _numChars) {
				_curChar = 0;
				try {
					_numChars = _stream.read(_buf);
				} catch (IOException e) {
					throw new InputMismatchException();
				}
				if (_numChars <= 0) return -1;
			}
			return _buf[_curChar++];
		}

		public String next() {
			int c = read();
			while (isWhitespace(c)) {
				c = read();
			}
			_sb.setLength(0);
			do {
				_sb.appendCodePoint(c);
				c = read();
			} while (!isWhitespace(c));
			return _sb.toString();
		}

		public int nextInt() {
			return (int) nextLong();
		}
		public long nextLong() {
			int c = read();
			while (isWhitespace(c)) {
				c = read();
			}
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			long res = 0;
			do {
				if (c < '0' || c > '9') throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isWhitespace(c));
			return res * sgn;
		}

		public boolean isWhitespace(int c) {
			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
		}
	}
}
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