Sines Sum Queries

You are given a sequence of integers A0, A1, ..., AN-1. Initially Ai=i for all i. You need to perform some strange queries with it. Each query has the form "L R D" where 0 and D is an integer. If D=0 then you need to find the sum of sines of the numbers AL, AL+1, ..., AR that is sin AL + ... + sin AR. Otherwise you need to add D to the numbers AL, AL+1, ..., AR. Input The first line contains tw