1012: Doing the calculation
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Description
Given a list of N integers ( N = 2x x is positive integer x <= 20) ki, please do the following:
1) add the two integers in odd position and even position (that is k1 + k2, k3+k4 and so on...), if the sum S is even number, then place the sum S with S/2, if the sum S is odd number, then place it with 3*S + 1
2) After 1) is done, there is a new sequence formed by those S, that is S1, S2 , S3, .... and so on; then repeat the steps in one for the S sequence
3) Repeat 1) and 2) until only one integer is left.
Please output the last integer
1) add the two integers in odd position and even position (that is k1 + k2, k3+k4 and so on...), if the sum S is even number, then place the sum S with S/2, if the sum S is odd number, then place it with 3*S + 1
2) After 1) is done, there is a new sequence formed by those S, that is S1, S2 , S3, .... and so on; then repeat the steps in one for the S sequence
3) Repeat 1) and 2) until only one integer is left.
Please output the last integer
Input
the first line is N
the second line has N integers which are ki
the second line has N integers which are ki
Output
One integer which is the last integer
Sample Input Copy
8
1 5 9 2 3 7 8 1
Sample Output Copy
106
HINT
The first list is 1 5 9 2 3 7 8 1
The second list is: 3 34 5 28
The thirst list is : 112 100
The fourth list is : 106
The second list is: 3 34 5 28
The thirst list is : 112 100
The fourth list is : 106