## Brain-Teaser 252: Blocks

**From The Sunday Times, 27th**** February 1966** [link]

“See these eleven blocks?”, says a so-called friend. “Four of them of 8 inch thickness, two of them of 4 inch thickness, three of 3 inch and two of 1 inch thickness”.

“Pile them in a column 51 inches high with a 3 inch block at the bottom so that, remaining in position, individual blocks or combinations of adjacent blocks can be used to measure every thickness in exact inches from 1 inch to 48 inches”.

In what order do they stand?

This puzzle was included in the book **Sunday Times Brain Teasers** (1974, edited by Ronald Postill).

[teaser252]

## Jim Randell 8:54 am

on4 December 2022 Permalink |(See also:

Teaser 119,Teaser 560).This Python program performs an exhaustive search of all possible stacks of blocks.

It runs in 268ms.

Run:[ @replit ]Solution:The pile of blocks (bottom to top) is one of the following two sequences:One being the reverse of the other.

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