# Sunday Times Teaser 3182 – Stand and be Counted

**by Colin Vout**

**by Colin Vout**

#### Published Sunday September 17 2023 (link)

When bad light ended the first dayâ€™s play, the total score was 182 with three batters having been â€śoutâ€ť during the day.

In the successive stands, the lower-numbered and the higher-numbered batters scored in the ratios 7:3, 10:7, 1:11 and 11:19, in that order. The total score was the sum of the scores of the five batters.

The third batter was the highest scorer.

[In cricket the batting team starts with batters 1 and 2 together, and each is able to score. When one of them is â€śoutâ€ť the third batter comes â€śinâ€ť to replace them, when one of that pair is out the fourth batter comes in, and so on. The amount by which the team score has increased while a particular pair is together is called the â€śstandâ€ť.]

What were the scores of all the batters, in their batting order?

As requested a pure Python version.