Suppose x$1$ is a nonnegative decision variable that is constrained to be no more than $64.$ Suppose y is a binary variable and you add the following constraints.

x$1$less or equal than$17+$ M$1$y

x$1$greater or equal than$31-$ M$2(1-$y$)$

What is the smallest value of M$1$ such that these two constraints result in a valid expression of "EITHER x$1$less or equal than$17$ or x$1$greater or equal than$31?($Enter a numerical value. Your answer must be correct within $+/-0\mathrm{.}01.)$