from random import random
import sys

N = int(sys.argv[1])
M = 500000
minl = []
maxl = []
print "Cut the loop string to %i"%N, "pieces ..."

for p in xrange(M):
    randl = [0]
    for x in xrange(N-1):
        randl.append(random())
    randl.append(1)
    randl.sort()
    pcl = []
    for t in xrange(1,N+1):
        pcl.append(randl[t]-randl[t-1])        
    minl.append(min(pcl))
    maxl.append(max(pcl))

print "E(min) =", sum(minl)/len(minl)
print "E(max) =", sum(maxl)/len(maxl)