Sines Sum Queries

Problem code: SINSUMQ

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.

Input

The 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.

Output

The 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

Input:
5 6
0 4 0
0 2 1
3 4 2
0 4 0
2 3 -1
1 4 0

Output:
1.1350859
0.65354865
0.782376860
Author: anton_lunyov
Date Added: 8-06-2011
Time Limit: 7 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TCL, TEXT, WSPC


Comments

It's really a good problem,

cgy4ever @ 20 Jun 2011 01:39 AM
It's really a good problem, combine math and data-struct. My last time code Segment Tree is about 2 years ago. I nearly forget all the tricky in coding Segment Tree. So today I used about 3 hour to code and debug this one.

i don't seem to clearly

bodmas @ 22 Jun 2011 05:10 AM
i don't seem to clearly understand the question.

Cant seem to get it pass even

foofoo @ 24 Jun 2011 01:10 AM
Cant seem to get it pass even with segment tree!! is the time limit too strict?? can some look into my submission? http://www.codechef.com/viewsolution/582450

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