Tidy Number are those number whose digits are arranged in non-decreasing order. Here, we are given a number and we have to find another number that is smaller but closest to the given number and also that number should be tidy, i.e., their digit should be in non-decreasing order.
Input : 91234 Output : 89999 Tidy property is violated by appearing 1 after 9. So, we will reduce 9 by 1 and the number right to it will be replaced by 9. So, generated tidy number is 89999. Input : 45000 Output : 44999
The idea is to traverse from end. Whenever tidy property is violated, we reduce digit by one and make all subsequent digits 9.
This question is asked in Google Code Jam 2017 qualification round.
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Improved By : Mithun Kumar