ENAC Marble Tubes

IntellectualPSY0

Two boards of three tubes hold the same numbered marbles. Count the fewest moves that turn the top board into the bottom one, then click that number. A move takes the top marble of a tube and puts it on top of another tube. The tubes hold 3, 2 and 3 marbles. The exam format is 10 boards with 20 seconds each.

~7 min

Overview

The fewest moves is the same whether you count from the top board or the bottom one. So if you lose the thread one way, start again from the other end. On the long boards, two marbles near the bottom of their tubes usually have to change places. With only three free spaces, you have to park the marbles above them first, and each park counts as a move.

Assessments

Part of the Air France Cadets selection at ENAC (PSY0) battery as “Billes”.

Seventh in the stage. Two arrangements of the same numbered marbles in three tubes, one above the other, and one number for the answer: the fewest moves that turns the first into the second. Only the top marble of a tube moves, and a tube takes only so many. Ten boards, a clock on each, and a board is right or it is wrong.

Battery mappings are based on public information and may change.

Two boards, three tubes

  • The top board is where the marbles start, and the bottom board is where they have to end up.
  • A move takes the marble at the top of a tube and puts it on top of another tube.
  • The tubes hold 3, 2 and 3 marbles, left to right. A full tube won’t take any more.

How many moves?

Count the fewest moves from the top board to the bottom one, then click the number.

Start41532
Target35421

Game Phases

1

Find What Must Move

In each tube, find the lowest marble that isn't where the bottom board has it. That marble and everything above it has to move at least once.

2

Send Marbles Straight Home

A marble can go straight to its place when the tube it belongs in has room and everything under its place is already right. Each one that can costs you one move.

3

Count the Parks

A marble that can't go straight home has to park somewhere else first and move again later. Each of those detours adds a move.

4

Check, Then Click

A click answers straight away and can't be taken back. So run through your moves once more first.

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