The Cubic End

发布时间: 2016年12月3日 16:34   最后更新: 2016年12月3日 16:34   时间限制: 1000ms   内存限制: 65536M

Given any string of decimal digits, ending in 1, 3, 7 or 9, there is always a decimal number, which when cubed has a decimal expansion ending in the original given digit string. The number need never have more digits than the given digit string. Write a program, which takes as input a string of decimal digits ending in 1, 3, 7 or 9 and finds a number of at most the same number of digits, which when cubed, ends in the given digit string.

The input begins with a line containing only the count of problem instances, nProb, as a decimal integer, 1 <= nProb <= 1000. This is followed by nProb lines, each of which contains a string of between 1 and 10 decimal digits ending in 1, 3, 7 or 9.

For each problem instance, there should be one line of output consisting of the number, which when cubed, ends in the given digit string. The number should be output as a decimal integer with no leading spaces and no leading zeroes.

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4 
123 
1234567
435621
9876543213
947
2835223
786941
2916344917

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