rendered paste bodyfrom sys import stdin
from decimal import *
def main():
getcontext().rounding = ROUND_HALF_UP # 0.5 rundes til 1
n = int(stdin.readline())
nabomatrise = [None] * n # rader
tK = 0
for i in xrange(0, n):
nabomatrise[i] = [False] * n # kolonner
linje = stdin.readline()
for j in xrange(0, n):
if linje[j] == '1':
tK +=1
nabomatrise[i][j] = True
for startnoden in stdin:
noder = n
kanter = tK
nodeIkkeBesokt = []
nodeIkkeBesokt = [True] * n
ko = []
startnode = int(startnoden)
ko.append(startnode)
nodeIkkeBesokt[startnode] = False
while(len(ko) > 0):
node = ko.pop()
noder -= 1
for i in xrange(0,n):
if nabomatrise[i][node]:
kanter -=1
if nabomatrise[node][i]:
if nodeIkkeBesokt[i]:
ko.append(i)
nodeIkkeBesokt[i] = False
if noder == 0:
print "0.000"
else:
print (Decimal(kanter) / Decimal(noder**2)).quantize(Decimal('0.001'))
main()