PROBLEM STATEMENT
Rick firmly believes that there are magical patterns related to some numbers. This belief is the
result of his own tendency to find odd patterns everywhere. He has recently thought that some
numbers have a "magical source". For example, the number 1371110974 has a magical source equal to
1234 because of the following process:
1234
+ 12340
+ 123400
+ 1234000
+ 12340000
+ 123400000
+ 1234000000
------------
1371110974
Formally, 1234 is a magical source of 1371110974 because there exists a number n such that the sum
of a sequence of n numbers, where the i-th number (0-indexed) is 1234 multipled by 10^i, is equal
to 1371110974. Note that by this definition, a positive number is a magical source of itself.
Given a positive long long x, return its minimum positive magical source.
DEFINITION
Class:MagicalSource
Method:calculate
Parameters:long long
Returns:long long
Method signature:long long calculate(long long x)
CONSTRAINTS
-x will be between 1 and 1000000000000 (10^12), inclusive.
EXAMPLES
0)
1371110974
Returns: 1234
This is the example from the statement.
1)
111111
Returns: 1
2)
10989
Returns: 99
3)
120
Returns: 120
Note that a number is always a magical source of itself.
4)
109999999989
Returns: 99
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