Question
If the following is the sixth step of an input, what
will be the second step? Step VI: 21, 35, 48, 92, 79, 89, 52, 62, 103, 115 Directions : Study the following information carefully to answer the questions given below:A number sorting machine, when given an input of numbers, rearranges the numbers in a particular manner step by step as indicated below, till all the numbers are arranged in a particular order. Given below is an illustration of this arrangement. Input: 45, 163, 53, 19, 81, 139, 18, 48, 73, 96 Step I: 18, 45, 163, 53, 19, 81, 139, 48, 73, 96 Step II: 18, 45, 53, 19, 81, 139, 48, 73, 96, 163 Step III: 18, 19, 45, 53, 81, 139, 48, 73, 96, 163 Step IV: 18, 19, 45, 53, 81, 48, 73, 96, 139, 163 Step V: 18, 19, 45, 48, 53, 81, 73, 96, 139, 163 Step VI: 18, 19, 45, 48, 53, 73, 81, 96, 139, 163 (This is the final arrangement and VI is the last step for this input.)Solution
The following is the logic: Input to step I: The smallest no. comes to the leftmost position and the rest shift rightward. Step I to Step II: The largest no. comes to the rightmost position and the rest shift leftward. And thus we go on arranging the nos. on left and right alternately till the final arrangement is in ascending order. We can’t proceed backwards.
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