Question
What is the sum of the third element from the left in
step II and second from the right in the last step? Study the following information carefully to answer the given questions. A number arrangement machine when given an input line of numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement. Input : 97 13 78 2391 45 67 32 Step I: 04 78 23 91 45 67 32 02 Step II: 05 04 78 45 67 32 02 08 Step III: 05 05 04 45 67 02 08 01 Step IV: 09 05 05 04 02 08 01 01 Step IV, is the last step. Input: 76 14 12 96 86 34 65 45 56 24Solution
In the given Input-Output the numbers are arranged from both the ends simultaneously. In first step- Lowest number is arranged from the left end and highest number is arranged from the right end. In second step- 2nd lowest number is arranged from the left end and 2nd highest number is arranged from the right end and so on... Also while arranging the numbers, the numbers which are arranged from left end are replaced by the addition of the digits of that number whereas the numbers which are arranged from the right end are replaced by the difference of the digits of that number. Input : 76 14 12 96 86 34 65 45 56 24 Step I: 03 76 14 86 34 65 45 56 24 03 Step II: 05 03 76 34 65 45 56 24 03 02 Step III: 06 05 03 34 65 45 56 03 02 01 Step IV: 07 06 05 03 45 56 03 02 01 01 Step V: 09 07 06 05 03 03 02 01 01 01 76 + 1 = 77
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