In a box there are white, red, and green balls. In one move, you may take out two balls of different colors from the box and put into the box one ball of the third color (there are always enough balls of any color to put into the box). Is it possible to achieve that only one ball remains in the box, if initially the box contains:
(A) \(10\) white, \(12\) red, and \(16\) green balls;
(B) \(10\) white, \(12\) red, and \(15\) green balls?

Kastē atrodas baltas, sarkanas un zaḷas lodītes. Ar vienu gājienu no kastes var izņemt divas dažādu krāsu lodītes un ielikt kastē vienu trešās krāsas lodīti (vienmēr pietiek jebkuras krāsas lodīšu, ko ielikt kastē). Vai var panākt, ka kastē paliek tikai viena lodīte, ja sākumā kastē atrodas:
(A) \(10\) baltas, \(12\) sarkanas un \(16\) zalas lodītes;
(B) \(10\) baltas, \(12\) sarkanas un \(15\) zaḷas lodītes?