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Shift Number
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 1173 Accepted Submission(s): 505
Problem Description
If a number is the sum of an integer¡¯s several shifting forms, it is called the Shift Number.
For example, by shifting 123 four times and adding the four numbers together, we get 136653, which is a Shift Number.
However, a shift number may be the sum of more than one integer¡¯s shifting forms. Such as, 45177 is a Shift Number, which could be generated from both 407 and 4107.
123+1230+12300+123000=136653
407+4070+40700=45177
4107+41070=45177
Given a Shift Number x , would you please help us find the least integer which could generate x by shifting.
For example, by shifting 123 four times and adding the four numbers together, we get 136653, which is a Shift Number.
However, a shift number may be the sum of more than one integer¡¯s shifting forms. Such as, 45177 is a Shift Number, which could be generated from both 407 and 4107.
123+1230+12300+123000=136653
407+4070+40700=45177
4107+41070=45177
Given a Shift Number x , would you please help us find the least integer which could generate x by shifting.
Input
A shift number x.
Input ends with x=0.
Input ends with x=0.
Output
the least integer which could generate x by shifting.
Sample Input
136653 45177 0
Sample Output
123 407
Hint
If you are not familiar with ¡°long long¡±, you can consult to FAQ.
Source
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