Say 16

Logic Level 2

Alice and Carla are playing a game often learned in elementary school known as Say 16. The rules for the game are as follows:

  • Each player takes turns saying between 1 and 3 consecutive numbers, with the first player starting with the number 1. For example, Player 1 could say the numbers 1 and 2, then Player 2 can say "3, 4, 5", then Player 1 can say "6" and so on.

  • The goal of the game is to be the one to say "16".

Carla decides that she'll go first and that Alice will go second. Is there a way to tell which player is going to win before the game even starts?

Details and Assumptions:

  • Assume that each player plays "perfectly", meaning that if there was an optimal way of playing, both players would be playing the best that the game allows them to play.
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