pset2 problem1

## 6a + 9b + 20c = x
## x >= 50 for all non-negative integers a b c

a = 6
b = 9
c = 20

aOrders = 0
bOrders = 0
cOrders = 0

result = 0

for i in range(50,56):
    testValue = i

    cOrders = 0
    while(cOrders * c < testValue):
        bOrders = 0

        while(bOrders * b < testValue):
            aOrders = 0

            while(aOrders * a < testValue):
                 if (a*aOrders)+(b*bOrders)+(c*cOrders) == testValue:
                    result = (aOrders,bOrders,cOrders)
                    print str(result) + ' combines to ' + str(testValue)
                aOrders = aOrders + 1

            bOrders = bOrders + 1

        cOrders = cOrders + 1