3011: The Child and Sequence
Description
At the children's day, the child came to Picks's house, and messed his house up. Picks was angry at him. A lot of important things were lost, in particular the favorite sequence of Picks.
Fortunately, Picks remembers how to repair the sequence. Initially he should create an integer array a[1],a[2],...,a[n]. Then he should perform a sequence of m operations. An operation can be one of the following:
- Print operation l,r. Picks should write down the value of
. - Modulo operation l,r,x. Picks should perform assignment a[i]=a[i]modx for each i (l≤i≤r).
- Set operation k,x. Picks should set the value of a[k] to x (in other words perform an assignment a[k]=x).
Can you help Picks to perform the whole sequence of operations?
The first line of input contains two integer: n,m (1≤n,m≤105). The second line contains n integers, separated by space: a[1],a[2],...,a[n](1≤a[i]≤109) − initial value of array elements.
Each of the next m lines begins with a number type 
.
- If type=1, there will be two integers more in the line: l,r(1≤l≤r≤n), which correspond the operation 1.
- If type=2, there will be three integers more in the line: l,r,x(1≤l≤r≤n;1≤x≤109), which correspond the operation 2.
- If type=3, there will be two integers more in the line: k,x(1≤k≤n;1≤x≤109), which correspond the operation 3.
For each operation 1, please print a line containing the answer. Notice that the answer may exceed the 32-bit integer.
5 5
1 2 3 4 5
2 3 5 4
3 3 5
1 2 5
2 1 3 3
1 1 3
8
5
10 10
6 9 6 7 6 1 10 10 9 5
1 3 9
2 7 10 9
2 5 10 8
1 4 7
3 3 7
2 7 9 9
1 2 4
1 6 6
1 5 9
3 1 10
49
15
23
1
9
Consider the first testcase:
- At first, a={1,2,3,4,5}.
- After operation 1, a={1,2,3,0,1}.
- After operation 2, a={1,2,5,0,1}.
- At operation 3, 2+5+0+1=8.
- After operation 4, a={1,2,2,0,1}.
- At operation 5, 1+2+2=5.