5367：digger

AFa have n mountains. These mountains in a line。All of mountains have same height initially. Every day , AFa would request ZJiaQ to cut some mountains or put stones in some mountains. And request ZJiaQ report how many mountains belong to “high mountain line”
when all of mountains in a range have same height, and higher than the nearest mountain in left and the nearest mountain in right. the range of mountains called “high mountain line”
of course ,the mountain in the most left and most right can’t be one of “high mountain line”

  There are multiply case
In each case, the first line contains 3 integers: n(1<=n<=10^9) , q ( 1 <= q <= 50000), r(0 <= r<= 1000 ).n is the number of mountains. q is the number of days. r is the initial height .
In the next q lines, each line contains 3 integers: l, r, val(1<=l<=r<=n, -1000 <= val <= 1000). Means in the day the mountains’ height in range[l,r] have added by val. but you should let the l,r,val xor ans to get true l,r,val. ans is the answer you printed.

Print q lines, each line contains a single answer.