---languages_supported:- NAtitle: SINSUMQcategory: NAold_version: trueproblem_code: SINSUMQtags:- NAlayout: problem---### All submissions for this problem are available.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 <= L <= R < N** 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**.### InputThe first line contains two positive integers **N** and **Q**. Here, **N <= 109** is the length of the initial sequence and **Q <= 100000** is the number of queries you need to perform with it. The next **Q** lines describe queries, one per line. The **i**'th such line contains three integers **L**, **R** and **D**. Here **0 <= L <= R < N** and **-10000 <= D <= 10000**.### OutputThe output consists of answers for all queries where **D=0**. For each such query you must produce a line with the corresponding sines sum. Answers within an absolute error of **10-6** will be accepted.### Example<pre><b>Input:</b>5 60 4 00 2 13 4 20 4 02 3 -11 4 0<b>Output:</b>1.13508590.653548650.782376860</pre>