Wikipedia
The McNuggets version of the coin problem was introduced by Henri Picciotto,
who included it in his algebra textbook co-authored with Anita Wah. Picciotto
thought of the application in the 1980s while dining with his son at
McDonald's, working the problem out on a napkin. A McNugget number is
the total number of McDonald's Chicken McNuggets in any number of boxes.
In the United Kingdom, the original boxes (prior to the introduction of
the Happy Meal-sized nugget boxes) were of 6, 9, and 20 nuggets.

Task

Calculate (from 0 up to a limit of 100) the largest non-McNuggets
number (a number n which cannot be expressed with 6x + 9y + 20z = n
where x, y and z are natural numbers).




with javascript_semantics
constant limit=100
sequence nuggets = repeat(false,limit+1)
for sixes=0 to limit by 6 do
    for nines=sixes to limit by 9 do
        for twenties=nines to limit by 20 do
            nuggets[twenties+1] = true
        end for
    end for
end for
printf(1,"Maximum non-McNuggets number is %d\n", rfind(false,nuggets)-1)
