Traffic Jam / Let Me Through
Shafir Games 1981.
(cardboard cover, plastic tray, and 10 plastic pieces, 4.8 by 4 by 3/8 inches)
Uses 1x1, 1x2, 2x1, and 2x2 pieces on a 4x5 board in the theme of
Dad's Puzzler
and
Red Donkey.
This puzzle is described in
Hordern's book
(puzzle C28); it is also shown in Figure 1 of a 1990 patent of
T. Monoyios.
From the start position shown on the left,
slide pieces (without picking them up) to form the end position shown on the right:
Here are the directions from the back of the box:
A Traffic Jam Solution Idea
The basic steps for one approach to solve Traffic Jam are shown below,
although there are many shorter solutions
(the following page shows a minimal length solution).
A Minimal Length Traffic Jam Solution
Here is a solution of 69 straight-line moves;
it can be converted to 61 rectilinear moves by combining steps 4/5/6 to 2 moves
(rename 243 to 324)
and combining steps 2/3, 12/13, 20/21, 26/27, 29/30, 53/54, and 62/63
(89 unit moves are used,
although
87 unit moves
are possible):
(one move = slide one piece any number of units in one direction)
Traffic Jam Variations
It is natural to consider the simpler puzzle where we only care about the 2x2:
Simple Traffic Jam
Fewer moves are required if starting from the final position of Traffic Jam::
Reverse Simple Traffic Jam
Here is a 39 straight-line moves solution;
it can be converted to to 34 rectilinear moves by combining steps
7/8, 16/17, 25/26, 28/29, 30/31:
(one move = slide one piece any number of units in one direction)
Further Reading
Monoyios Patent,
from: www.uspto.gov - patent no. 4,927,150
Ling Design Patent,
from: www.uspto.gov - patent no. 450,356