You are looking down at a map of a 5x5 block area of a city where each block is occupied by one skyscraper. Call the heights 1, 2, 3, 4 and 5 (say they are in 10-story increments). Each row has one of each height and each column also has one of each height.
Considering that when viewed from outside the row or column, the nearer buildings of taller height hide those behind them that are of shorter height, numbers have been placed in the yellow areas pointing to a given row or column. Each number represents the number of buildings that can be seen from that vantage point when looking at the row or column in question.
Fill in each block's height.
From Mensa Puzzle Calendar 2019 by Fraser Simpson, Workman Publishing, New York. Puzzle for December 9.
(In reply to
soln by Steven Lord)
Hi!
You wrote:
"There are only 2 streets that have 3 visible when viewed from both ends:
12534 and 34521"
This is incorrect.
First of all: 12534 only has two buildings visible from the right. But also, there are six arrangements satisfying the "see 3 from both directions" criterion:
12543
13542
14532
plus three further that are made by switching left and right side viewing position.
Edited on January 27, 2020, 2:39 pm
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Posted by FrankM
on 2020-01-27 14:38:07 |
Possible error in soln
