Inshi no heya

Inshi no heya ( 因子の部屋 ; lit. "factoring rooms") is a type of logic puzzle published by Nikoli.

Rules

"Inshi no heya" is played on a rectangular grid with no standard size, broken into "rooms" by heavier borders. One of every room's dimensions will be a single cell; the length or width of the room varying by room.

Each room may run either horizontally or vertically, and has a small number appearing in its upper left corner.

The puzzle starts with all the cells empty.

The goal is to fill all the cells with nonzero single-digit numbers (1 through 9) such that:

* The numbers in each room, when multiplied together, equal the product in the upper left corner of the room
* No number appears twice in a column or row

olution methods

History

"Inshi no heya" first appeared in Puzzle Communication Nikoli #92. Although the creator named the puzzle "insū bunkai" (factorization), the editor replaced it with "inshi no heya", which sounds less technical. It irregularly appears in the magazine since #109.

References

* [http://www.nikoli.co.jp/puzzles/36/ Nikoli's Japanese page on Inshi no heya]

ee also

*List of Nikoli puzzle types