SKEWB - Skew Binary

When a number is expressed in decimal, the k-th digit represents a multiple of 10k. (Digits are numbered from right to left, where the least significant digit is number 0.) For example, 

decimal

When a number is expressed in binary, the k-th digit represents a multiple of 2k. For example, 

binary

In skew binary, the k-th digit represents a multiple of 2k+1 - 1. The only possible digits are 0 and 1, except that the least-significant non-zero digit can be a 2. For example, 

skew

The first 10 numbers in skew binary are 0, 1, 2, 10, 11, 12, 20, 100, 101, and 102. (Skew binary is useful in some applications because it is possible to add 1 with at most one carry. However, this has nothing to do with the current problem.)

Input

The input file contains one or more lines, each of which contains an integer

Output

For each number, output the decimal equivalent. The decimal value of n will be at most 231 - 1 = 2147483647.

Example

Input:
10120
200000000000000000000000000000
10
1000000000000000000000000000000
11
100
11111000001110000101101102000
0

Output:
44
2147483646
3
2147483647
4
7
1041110737

Added by:Coach UTN FRSF
Date:2011-03-11
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All
Resource:(UVa ACM) http://online-judge.uva.es/p/v5/575.html

hide comments
2014-10-26 02:11:51 Kid Algorist
gets() led to 25% faster submission time.
2011-03-29 21:18:10 Michael T
FFS _do not count_ on 0 end as in input sample: breaks at around 3rd test.
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