import numpy as np
import math
s = [1,2,3,5,10, 15, 20]
#print("Set", s)
n= int(math.pow(2,len(s)))
#print(power, n)
A = np.zeros(n)
C1 = []
for item in s:
A[item] = 1
A1 = np.fft.fft(A)
# print(len(A1), type(A1), A1)
for i in range(0,n,1):
C1.append(A1[i]*A1[i]*A1[i])
C = np.fft.ifft(C1)
#print(C, C[19].real)
for i in range(0,n,1):
if C[i].real>=.999999:
print(i,"yes")
else:
print(i,"no")
