Just boring old arithmetic, it's quite common for people to write maths problems which end up overflowing a 64-bit integer. Here's one I remember someone writi

Just boring old arithmetic, it's quite common for people to write maths problems which end up overflowing a 64-bit integer. Here's one I remember someone writing: There is a 'numbers game' on the UK show countdown, where you are given a series of 6 numbers, and need to add, multiply, subtract and divide them to make a target. They were considering generalisations. They wanted to allow '500' as an input number, and also allow 8 numbers. While their targets were numbers less than 10,000, 500^8 overflows a 64-bit integer, and we often want to find things like upper and lower bounds early on.