Sphere Online Judge

SPOJ Problem Set (classical)

3934. Recaman’s Sequence

Problem code: MRECAMAN

The Recaman’s sequence is defined by a0 = 0 ; for m > 0, a(m) = a(m−1) − m if the resulting a(m) is positive and not already in the sequence, otherwise a(m) = a(m−1) + m. The first few numbers in the Recaman’s Sequence is 0, 1, 3,6, 2, 7, 13, 20, 12, 21, 11, 22, 10, 23, 9 · · · .

Given k, your task is to calculate ak.

Input

The input consists of several test cases. Each line of the input contains an integer k where 0 ≤ k ≤ 500000. The last line contains an integer −1, which should not be processed.


Sample Input
7
10000
-1

Output

 
For each k given in the input, print one line containing ak to the output.

Sample output
20
18658


Added by:~!(*(@*!@^&
Date:2009-02-23
Time limit:1s-5s
Source limit:50000B
Languages:All except: CLOJ ERL F# JS PERL 6 TECS
Resource:Pre Shanghai 2004

hide comments
2010-07-30 16:41:47 Chandra sekar
@Manish
Yes! my brute force solution in C++ clocked 2.26 seconds only!
2010-07-20 19:58:48 naive_coder
for 500000 .....brute force sufficient??
2010-07-20 17:07:01 Chandra sekar
Brute force will be sufficient!
2009-08-24 16:12:40 Jerry Jiang
Can AC with violence generating......
2009-05-30 23:18:03 LeppyR64
Yes.
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