NewSMath

epsloc=[]
emptwob=[]
for v in range(2,3):
    for j in range(4,5):
        for h in range(1,j-1):
                if h==(j-1)/2:
                    continue
                for f in range(1,v+1):
                    g=floor((1/2*(((2*h*(j^(v)-1)/(j-1))+1/2)^(1/f)+1/2)))
                    d=g+sqrt(g^2-1)
                    if d>j:
                        x=(d^f+(1/d^f))/2
                        y=h*(j^v-1)/(j-1)
                        if x==y:
                            kappaa=log(d,j)
                            z=0
                            q=denominator(continued_fraction(kappaa).convergent(z))

                            if 6*10^(15)<q:
                                epslo=abs(-log((2*h)/(j-1),j)*q-round(-log((2*h)/(j-1),j)*q))-10^(15)*abs(kappaa*q-round(kappaa*q))
                                if epslo>0:
                                    epsloc.append(epslo)
                                    emptwob.append(q)
                            else:
                                while q<=6*10^(15):
                                        z+=1
                                        q=denominator(continued_fraction(kappaa).convergent(z))
                                        if 6*10^(15)<q:
                                                epslo=abs(-log((2*h)/(j-1),j)*q-round(-log((2*h)/(j-1),j)*q))-10^(15)*abs(kappaa*q-round(kappaa*q))
                                                if epslo>0:
                                                    epsloc.append(epslo)
                                                    emptwob.append(q)
                                                else:
                                                    while epslo<=0:
                                                        z+=1
                                                        q=denominator(continued_fraction(kappaa).convergent(z))
                                                        epslo=abs(-log((2*h)/(j-1),j)*q-round(-log((2*h)/(j-1),j)*q))-10^(15)*abs(kappaa*q-round(kappaa*q))
                                                        if epslo>0:
                                                            epsloc.append(epslo)
                                                            emptwob.append(q)



                        else:
                            continue

                    else:
                        continue
print(max(emptwob))
print(N(min(epsloc)))