# Sunday Times Teaser 3045 – Let Tel Play BEDMAS Hold ‘Em!

*by Stephen Hogg*

#### Published Sunday January 31 2021 (link)

Awaiting guests on poker night, Tel placed (using only clubs, face-up, in order left-to-right) the Ace (=1) to 9 (representing numerals), then interspersed the Ten, Jack, Queen and King (representing -, +, x and ÷ respectively) in some order, but none together, among these.

This “arithmetic expression” included a value over 1000 and more even than odd numbers. Applying * BEDMAS* rules, as follows, gave a whole-number answer. “No

**rackets or pow**

*B***rs, so traverse the expression, left-to-right, doing each**

*E***ivision or**

*D***ultiplication, as encountered, then, again left-to-right, doing each**

*M***ddition or**

*A***ubtraction, as encountered.”**

*S*Tel’s auntie switched the King and Queen. A higher whole-number answer arose. Tel displayed the higher answer as a five-card “flush” in spades (the Jack for + followed by four numeral cards).

Give each answer.

This version does not use list comprehensions:

This alternative makes use of them:

Here is a more readable functional equivalent to line 35 above:

or better still: