Little explorations with HP calculators (no Prime)

[pier4r]

The following problem can be used to explore list functions. For example on the 50g. Useful list libraries that expands the built in ones: listExt ( http://www.hpmuseum.org/forum/thread-8555.html ) , goferlist ( https://www.hpcalc.org/details/6529 ) and lsort ( https://www.hpcalc.org/details/2828 ).


The problem: there are 100 blue Christmas balls and 40 white Christmas balls in a line, randomly ordered. There are Anna and Berta that needs balls for their Christmas trees.

They decide that Anna will pick a continuous chunk of the line of length 70, for example between the position 3 and the position 72, the rest will be picked by Berta.

Could they find a way to ensure that Anna and Berta pick both 50 blue balls and 20 white balls? If yes, is a special arrangement of the balls needed to achieve it?