apps_541
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----- 5 2 1 4 2 5
-----Sample Output----- 1
The requests can be met by removing the bridge connecting the second and third islands from the west.
Comments