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 Fortran (gfortran v4.8.4) (judge verdict: Wrong Answer)

program test

integer(8) :: n,m,i,j,k,ans
integer(8) :: a(100000),b(100000),aa(100000)=999999

read(*,*) n,m

do i=1,m
	read(*,*) a(i),b(i)
enddo

do i=1,m
	aa(a(i))=min(aa(a(i)),b(i)-1)
enddo

ans = 0

do i=1,n
 if(aa(i)<999999) then
 	ans = ans + 1
 	do j=i+1,n
 		if(aa(j) <= aa(i)) then
 			aa(j) = 999999
 		endif
 	enddo
 	aa(i) = 999999
 endif
enddo

write(*,*) ans




end program