Olympiad Maths Prep

Track / Stage 4 / 160 of 340 #420 of 2000

Problem 420

AMC 12 late, AIME early
Combinatorics Difficulty 4.8 Find the answer

22. (5 points)
Jiang Liuer used 30 Go stones to form a circle, with each black stone being adjacent to exactly one white stone, and the white stones adjacent to black stones account for half of the total number of white stones. Therefore, among the 30 stones, the maximum number of black stones is \qquad.

Official solution

1414

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.