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Unfinished Snakes and Ladders

Puzzling Asked on April 17, 2021

An entry for Fortnightly Topic Challenge #40, have fun with non-Chess puzzle! 😉


Three young children: Red, Green, and Blue; were playing a classic game of Snakes and Ladders, when suddenly their mom called them to have a dinner.

When they came back to their room, they forgot whose turn it was; even they were not sure either about the order of the play!

This was the last condition of the board, including the die. Could you tell them whose turn it is and the order of the play?

Unfinished Snakes and Ladders

Some notes and clarifications:

  • They put their markers at tile 1, at the beginning.
  • They will win if their markers land exactly on tile 100. They are using the "bouncing-back" version (roll 3 will move the marker from tile 99 to 98).
  • As long as they roll 6, they will get an extra roll after moving the marker.
  • The ladders should be used to go to a higher number only, and the snakes are used to go to a lower number. For the "interrupted" spaces (the squares being described by @Bass in his first comment below), both are immediately used (e.g. just as landing on 39 will bring you to 25, landing on 20 will bring you to 25 too).
  • If someone lands on a square where there is already a player, it doesn’t send him back to square 1.

3 Answers

The other guys already got the answer. (Maybe not with completely airtight arguments, but nevertheless.) The explanations would be a lot easier to follow if they had pictures, so here's one:

Legend:

  • Red square: after turn 1, you are in one of these.
  • Green square: after turn 2, you are in one of these, or in some red square (except square 2).
  • Red circle with R: if Red was the last player to move, Red's turn started at one of these.

From there, the solution is pretty simple:

So the only remaining things to check are that

So finally, the answer is

Correct answer by Bass on April 17, 2021

It is:

Reasoning:

Answered by Evan Capstick on April 17, 2021

Assuming the order of players to roll the dice is R B G,
the next player after they come back from dinner will be

Because

Answered by ImongMama on April 17, 2021

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