import math
import random

def calcv(latitud,t):
      return (23.5*math.sin(math.pi*(t-80)/180)+90-latitud)/90

def decide(v):
    if 0<v<1:
        return v**2
    if v>=1:
        return 1
    if v<=0:
        return 0

def calcenergy(f):
      return area*f*sundigit*random.random()

area=500
sundigit=10
t=int(input("How many latitudes do you want to calculate?"))

x=0
listalatitud=[]
while x<t:
      latitud=int(input("latitud"))
      if latitud>0 and latitud<90:
          listalatitud.append(latitud)
          x=x+1
      else:
          print("Next time say a latitude between 0 and 90")

lista=[]
total=0
for latitud in listalatitud:
    tmp = []
    for t in xrange(365):
        v=calcv(latitud,t)
        f=decide(v)
        l=calcenergy(f)
        tmp.append(l)
    lista.append(tmp)

for i in lista:
    print "Year average", sum(i) / float(len(i))

average = [sum(i) / float(len(i)) for i in lista]
average.sort()
print average