Santiago Bilinkis l Risk and Reward - Trying to live a life out of the comfort zone

As part of what is now a tradition in Risk & Reward, today I want to invite you once again to a mind stretcher.

Given that last time I posted a hard riddle only few could solve, I am bringing a quite easy one. It was introduced to me by Ronen Amit, a friend at Singularity University.

Here’s how it goes:

The army of a certain country is formed by two types of soldiers: infantry and artillery. To make it easier, we’ll just call them I and A respectively.

Soldiers are grouped in threes to form brigades. Groups are never formed by three soldiers of the same type. If a brigade has two A and an I, it’s an A brigade. If, on the contrary, it has two I and an A, then it’s an I brigade.

Three brigades, in turn, form a squad. Squads may also be A or I following the same reasoning (they can’t have three brigades of the same type.)

Always applying this 2 and 1 rule, three squads form a platoon (which may be A or I.) Three platoons form a battalion, A or I. Three battalions, in turn, form a military unit (always A or I.) Finally, three military units form a regiment.

Complex as the wording may be, the question is simple: If we have an A squad, how many A soldiers should be replaced by I soldiers so that that A squad became an I squad?

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As usual, please DO NOT type down the solution in your comments.

Picture: National Guard

Translated by: Palindromic