LITE - Light Switching

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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 space-separated integers: N and M
Lines 2..M+1: Each line represents an operation with three space-separated 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

Added by:Iqram Mahmud
Date:2010-09-03
Time limit:0.165s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel Pentium G860 3GHz)
Languages:All except: SCM chicken VB.net
Resource:USACO November 08

hide comments
Ashwani Gautam: 2015-06-17 21:46:34

sqrt decomposition showing TLE...:(

Abhilash: 2015-06-09 05:22:51

cin/out gives TLE

Praveen Kulkarni: 2015-06-04 15:17:49

my first attempt at laziness

ANKIT TAPARIA: 2015-05-31 17:10:45

long long gives TLE... int works fine!!!

Dhawal Harkawat: 2015-05-26 08:36:54

use scanf/printf or fast I/O instead of cin/cout..

i_am_looser: 2015-05-19 22:31:01

lazy and looser hahahaha..... :)

GAURAV CHANDEL: 2015-04-26 13:07:41

Hey , We are lazy..and it gives AC....

Ankit: 2015-02-17 01:02:31

use scanf and printf instead of cout and cin .... gives TLE
choose appropriate number of nodes in the tree,if less nodes are chosen ...gives WA

Last edit: 2015-02-17 01:03:27
screw_1011: 2015-02-04 08:13:07

My first lazy feeling :D :P
good question :)

Last edit: 2015-02-04 08:17:18
Sudharsansai: 2015-01-25 06:50:09

Wow...For the first time I am feeling LAZY....