Arrange given numbers to form the biggest number | Set 2
Given an array of non-negative numbers(of Integer Range), they are needed to be arranged in some order such that it gives the max number. For example given array is A[1, 34, 3, 98, 9, 76, 45, 4, 12, 121]. if we arrange these numbers in the following order, A[9, 98, 76, 45, 4, 34, 3, 12, 121, 1], then by joining them we get “99876454343121211” as largest number.
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Input : [1, 34, 3, 98, 9, 76, 45, 4, 12, 121] Output : 99876454343121211 Input : [12, 121] Output : 12121
In SET 1, we have discussed an approach to do same. In this set, we will discuss another logic.
1) Find number of digits in the largest number. Let number of digits be n.
2) Create extended version of all numbers. In extended version, we have n+1 digits formed by concatenating the number of with itself and truncating extra digits.
3) Sort original numbers according to their extended values.
4) Concatenating the sorted numbers produces th required result.
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