# Kenken

Today I discovered "Kenken", a new sort of puzzle with Sudoku overtones but with a little arithmetic involved. I'll do my best to reproduce the one I found in The Boston Globe, please excuse my keyboard limitations. Following wioll be a 6 x 6 matrix. Each row and column, similar to Sudoku, must include every number of {1,2,3,4,5,6,} BUT instead of squares as subsets of the grid there are variously shaped boxes (this one has from 1 to 3 squares per box). In the upper leftmost square of each box is the number you have to get using 1-6 by addition, subtraction, division, or multiplication of the squares in any order. A single square box has only it's own value (there's one of them here). OK, here goes the bad typing:

_____________________________________________
|| 80x     |             || 180x      || 3+        || 3/          |              ||
||            |             ||             ||             ||               |              ||
||__ _ __|_______||________||_______||____ ___|________||
---------------                ||             ||------------------------||
||            ||            |                ||             || 1-          |               ||
||_______||________|________||______ ||________|________||
--------------------------------------------------------------------
|| 5-        ||  2/         |               || 1-        || 11+        || 40x       |||
||            ||              |              ||             ||                ||              ||
||_______||________|________||________|||________||_______|||
||            ||  5         || 24x       ||             ||                ||              ||
||            ||             ||              ||             ||                ||              ||
||_______||________||________||________||________|________||
______________                ________________
|| 1-       ||              |               || 12+      |                ||              ||
||           ||              |               ||             |                ||              ||
||_______||________|________||________|________||________||
___________________              ___________________
||           ||  3/         |               ||              ||  2-          |               ||
||           ||              |               ||              ||               |               ||
||_______||________|________||________||________|________||

I know this is confusing, but the first 2 rows are composed of two areas of 2x1 and 1x2 fitting together, then a 2x1, then two 1x2 areas on top of each other - 12 little squares in all. The first COLUMN is finished by stacking two 2x1 areas. The lowest row is finished off by a 1x2, the a square of a 2x1, then another 1x2 piece. The isolated square saying "5" stands alone, and the other pieces fit to make a 6x6 overall. I tried to make double lines to outline each box but these keys aren't designed for it.  Where you see 24x, it's a reverse L and the one saying 12+ is an inverted L. The only 3x1 is designated 40x and runs down the middle of the 6th column. I'll publish the solution another day. Have fun!

freeed
66-70, M
Mar 16, 2011