Firstly, apologies if this is in the wrong forum.

Here is a problem someone might like to have a go at. It’s driving me potty:

$container = x; // Container is simply that; it ‘contains’ a value

$shortfall = y; // Shortfall is the amount by which Container is shy of ‘Full’

// So if Container = 75 and Shortfall = 25, a ‘Full’ Container would be 100.

// $container + $shortfall = one ‘Full’ Container

Constants:

C = 432; S = 130; P = 175;

I need a function or the algorythm to ‘fill’ the Container using a selection of C, S and/or P to make up a value equal to, or more than (but optimally so) the Shortfall. If, for example the Shortfall is 250, then 2 * S is the best answer. The objective is to use the smallest number of constants feasible, whilst appreciating that the higher the value of the constant, the more costly it is within the application. C’s cost more than P’s which cost more than S’s.

I suspect it’ll need a recursive function and I’m still getting my head around those

If I suss it before I get options from here, I’ll say so and close the topic, but many thanks in advance if someone can help…