Maximus is one of 3 or more prisoners of war who have been lined up before the Roman Emperor. The prisoners are numbered from first in the line to last as 1, 2, 3, 4, ..., N. The Emperor orders the execution of the prisoners in the following manner:
1) The first and last are immediately executed.
2) If there are still 2 or more prisoners remaining, the half of the remaining prisoners with the lowest numbers (rounded up) are executed.
3) If there are still 3 or more prisoners remaining, start again from Step 1.
For example, if there were 5 prisoners to start then prisoners 1 and 5 would be executed in Step 2, and prisoners 2 and 3 would be executed in Step 3, leaving prisoner 4 alive.
Is there a strategy by which Maximus can save himself? What if Maximus also wants to save his friend Romulus?
maybe you have seen this before....
FORTY
+ TEN
+ TEN
-------
= SIXTY
If each letter represents a digit and all ten digits are to be included in the above equation. Can you find the arrangement of digits that would satisfy the equation?
(TEN does not mean T x E x N. It represents the places the digits take)
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Bonus: 
