Given two positive integers m,n, we say that a function f:[0,m]→R is (m,n)-slippery if it has the following properties:i) f is continuous;
ii) f(0)=0, f(m)=n;
iii) If t1,t2∈[0,m] with t1<t2 are such that t2−t1∈Z and f(t2)−f(t1)∈Z, then t2−t1∈{0,m}.Find all the possible values for m,n such that there is a function f that is (m,n)-slippery.