Mrs. Hudson’s Problem #2
- Last Updated on Wednesday, 28 November 2012 18:00
- Written by Vitaly Novikov
A new problem of Mrs. Hudson's. The last time, she had to win before the three gentlemen she played against (see ‘Mrs. Hudson’s Problem’), since her winning hand had the regular structure 3-3-3-3-2. Now she makes a vow not to collect even a pair in a hand.
“I would not collect even a Pair, not a meld, not collect Flowers. I hope that I would not discard a tile to somebody’s mahjong, otherwise that would offend others.”
In such a way a whole deal passed. Mrs. Hudson took the last tile from the wall. She called for Mr. Wan Tao.
“Mr. Tao, be so kind and help me. What tile could I safely discard in order to not give mahjong?”
Wan Tao looked carefully at all three gentlemen’s hands and then he sentenced:
“No way, Mrs. Hudson, you can discard a safe tile due to the fact that all of your 14 single tiles would suit to somebody’s mahjong. Even more, despite there is no even a pair in your hand you have mahjong, so, please, declare it!”
Question 1: Please, reconstruct all four hands. (There exist many solutions, please, provide one).
Question 2 (for experts): Please, provide a solution under the condition of one dead hand (i.e., Lestrade’s hand).