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Civen an array of N integers, your task is to transform this array into a permutation of the first M positive integers A pemutation of
Civen an array of integers, your task is to transform this array into a permutation of the first positive integers A pemutation of sire is an arrangoment of numbers such that each number from to appears exartly once In one operation, you can increase or decrease any element of the array by
The challenge is to figure out the smallest number of such operations required to convert the given array into a permutation.
Examples :
Input
Output
Explanation: No operation needed; already a permutation
Examples :
Input
Output:
Explanation: Decrease one to to form the permutation
Examples :
Input
Output:
Explanation: operations to decrease each element by to reach permutation Note that this is one of the possible permutations, eg this can also be achieved by operations to decrease the to to form the permutation
Constraints:
The integers in the array will be equal or bigger than
The size of the array can range from to
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