LITE  Light Switching
Farmer John tries to keep the cows sharp by letting them play with intellectual toys. One of the larger toys is the lights in the barn. Each of the N (2 <= N <= 100,000) cow stalls conveniently numbered 1..N has a colorful light above it.
At the beginning of the evening, all the lights are off. The cows control the lights with a set of N pushbutton switches that toggle the lights; pushing switch i changes the state of light i from off to on or from on to off.
The cows read and execute a list of M (1 <= M <= 100,000) operations expressed as one of two integers (0 <= operation <= 1).
The first kind of operation (denoted by a 0 command) includes two subsequent integers S_i and E_i (1 <= S_i <= E_i <= N) that indicate a starting switch and ending switch. They execute the operation by pushing each pushbutton from S_i through E_i inclusive exactly once.
The second kind of operation (denoted by a 1 command) asks the cows to count how many lights are on in the range given by two integers S_i and E_i (1 <= S_i <= E_i <= N) which specify the inclusive range in which the cows should count the number of lights that are on.
Help FJ ensure the cows are getting the correct answer by processing the list and producing the proper counts.
Input
Line 1: Two spaceseparated integers: N and M
Lines 2..M+1: Each line represents an operation with three spaceseparated integers: operation, S_i, and E_i
Output
Lines 1..number of queries: For each output query, print the count as an integer by itself on a single line.
Example
Input:
4 5
0 1 2
0 2 4
1 2 3
0 2 4
1 1 4
Output:
1
2
hide comments
amitboss:
20180129 18:31:55
ac in 1 go


spojabhi:
20171224 00:24:54
use int otherwise tle.


neeraj745:
20171124 04:23:59
using cin, cout gave me TLE but scanf, printf got accepted. happened with anyone else?


rebornplusplus:
20171024 18:10:36
A related problem is ``LightOJ 1080`` Last edit: 20171024 18:11:33 

jaykay12:
20170929 12:53:00
Lazyness Rocks.. :D Those getting WA at Test Case 10 kindly check the condition when lazy updates itself. :) 

gamesonk:
20170926 08:03:34
DO not forget to use boosting techniques like ios_base::sync_with_stdio(false),cin.tie(0)


println_hi_:
20170904 13:29:53
Is this a USACO Problem? 

rareguy:
20170809 10:36:47
You don't need to update the lazy array in the query function.


bijoy_sust:
20170722 22:10:31
AC in 1 go........... 

mrinal_verma:
20170721 22:17:03
good question for learning lazy propogation

Added by:  Iqram Mahmud 
Date:  20100903 
Time limit:  0.165s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: OBJC VB.NET 
Resource:  USACO November 08 