require "table2"

local coconuts = 11
for ns = 2, 9 do
    local hidden = table.rep(ns, 0)
    coconuts = (coconuts // ns) * ns + 1
    while true do
        local nc = coconuts
        local outer = false
        for s = 1, ns do
            if nc % ns == 1 then
                hidden[s] = nc // ns
                nc -= hidden[s] + 1
                if s == ns and nc % ns == 0 then
                    print($"{ns} sailors require a minimum of {coconuts} coconuts")
                    for t = 1, ns do print($"\tSailor {t} hides {hidden[t]}") end
                    print($"\tThe monkey gets {ns}")
                    print($"\tFinally, each sailor takes {nc // ns}\n")
                    outer = true
                    break
                end
            else
                break
            end
        end
        if outer then break end
        coconuts += ns
    end
end