#P1473. BlackAndWhite

BlackAndWhite

  There are a bunch of stoneson the beach; Stone color is white or black. Little Sheep has a magic brush,she can change the color of a continuous stone, black to white, white to black.Little Sheep like black very much, so she want to know the longest period ofconsecutive black stones in a range [i, j]. 

Input

There are multiple cases, the first line of each case is an integer n(1<= n <= 10^5), followed by n integer 1 or 0(1 indicates black stone and 0 indicates white stone), then is an integer M(1<=M<=10^5) followed by M operations formatted as x i j(x = 0 or 1) , x=1 means change the color of stones in range[i,j], and x=0 means ask the longest period of consecutive black stones in range[i,j]

Output

When x=0 output a number means the longest length of black stones in range [i,j].

Sample Input

4
1 0 1 0
5
0 1 4
1 2 3
0 1 4
1 3 3
0 4 4

Sample Output

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1
2
0

HINT

Source