Problem:
Score : 400 points

Problem Statement

There are N islands lining up from west to east, connected by N-1 bridges.

The i-th bridge connects the i-th island from the west and the (i+1)-th island from the west.

One day, disputes took place between some islands, and there were M requests from the inhabitants of the islands:

Request i: A dispute took place between the a_i-th island from the west and the b_i-th island from the west. Please make traveling between these islands with bridges impossible.

You decided to remove some bridges to meet all these M requests.

Find the minimum number of bridges that must be removed.

Constraints

All values in input are integers.

2 \leq N \leq 10^5

1 \leq M \leq 10^5

1 \leq a_i < b_i \leq N

All pairs (a_i, b_i) are distinct.

Input

Input is given from Standard Input in the following format:

N M
a_1 b_1
a_2 b_2
:
a_M b_M

Output

Print the minimum number of bridges that must be removed.

Sample Input 1

5 2
1 4
2 5

Sample Output 1

1

The requests can be met by removing the bridge connecting the second and third islands from the west.

Sample Input 2

9 5
1 8
2 7
3 5
4 6
7 9

Sample Output 2

2

Sample Input 3

5 10
1 2
1 3
1 4
1 5
2 3
2 4
2 5
3 4
3 5
4 5

Sample Output 3

4

Solution in PyPy2 (7.3.0) (judge verdict: Accepted)

n,m = map(int, raw_input().split())
s = [map(int, raw_input().split()) for _ in range(m)]
c = 0
s.sort()
cur = []
for u,v in s:
	if cur == []:
		cur = [u,v]
	if cur[1] <= u:
		cur = [u,v]
		c += 1 
	else:
		cur = [max(u, cur[0]),min(v, cur[1])]
		if cur[1] - cur[0] == 0: 
			c +=1
			cur = []
print c + (1 if cur else 0)
"""
---- ------
     4    9
       ---
       5 6
       ------?
       5 

       5 ----- 10
"""