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algebra
(8C5¡Ý6C5¡ß4)¡ß12¡á384¡¡{9¡ß3¡Ü(3¡ß3¡ß3¡Ý3¡ß2)¡ß3}¡ß16¡á1440
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abcd
efgh
ijkl
mnop

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½½¿ÊBasic ¤Ç

for a=0 to 1
for b=0 to 1
for c=0 to 1
for d=0 to 1
for e=0 to 1
for f=0 to 1
for g=0 to 1
for h=0 to 1
for i=0 to 1
for j=0 to 1
for k=0 to 1
for l=0 to 1
for m=0 to 1
for n=0 to 1
for o=0 to 1
for p=0 to 1
if a+b+c+d+e+f+g+h+i+j+k+l+m+n+o+p<>5 then goto 10
if a+b+c+d=0 and e+f+g+h=0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p<>0 then let s1=s1+1
if a+b+c+d=0 and e+f+g+h<>0 and i+j+k+l=0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p<>0 then let s2=s2+1
if a+b+c+d=0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p=0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p<>0 then let s3=s3+1
if a+b+c+d=0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m=0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p<>0 then let s4=s4+1
if a+b+c+d=0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n=0 and c+g+k+o<>0 and d+h+l+p<>0 then let s5=s5+1
if a+b+c+d=0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o=0 and d+h+l+p<>0 then let s6=s6+1
if a+b+c+d=0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p=0 then let s7=s7+1
if a+b+c+d<>0 and e+f+g+h=0 and i+j+k+l=0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p<>0 then let s8=s8+1
if a+b+c+d<>0 and e+f+g+h=0 and i+j+k+l<>0 and m+n+o+p=0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p<>0 then let s9=s9+1
if a+b+c+d<>0 and e+f+g+h=0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m=0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p<>0 then let s10=s10+1
if a+b+c+d<>0 and e+f+g+h=0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n=0 and c+g+k+o<>0 and d+h+l+p<>0 then let s11=s11+1
if a+b+c+d<>0 and e+f+g+h=0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o=0 and d+h+l+p<>0 then let s12=s12+1
if a+b+c+d<>0 and e+f+g+h=0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p=0 then let s13=s13+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l=0 and m+n+o+p=0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p<>0 then let s14=s14+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l=0 and m+n+o+p<>0 and a+e+i+m=0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p<>0 then let s15=s15+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l=0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n=0 and c+g+k+o<>0 and d+h+l+p<>0 then let s16=s16+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l=0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o=0 and d+h+l+p<>0 then let s17=s17+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l=0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p=0 then let s18=s18+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p=0 and a+e+i+m=0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p<>0 then let s19=s19+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p=0 and a+e+i+m<>0 and b+f+j+n=0 and c+g+k+o<>0 and d+h+l+p<>0 then let s20=s20+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p=0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o=0 and d+h+l+p<>0 then let s21=s21+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p=0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p=0 then let s22=s22+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m=0 and b+f+j+n=0 and c+g+k+o<>0 and d+h+l+p<>0 then let s23=s23+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m=0 and b+f+j+n<>0 and c+g+k+o=0 and d+h+l+p<>0 then let s24=s24+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m=0 and b+f+j+n<>0 and c+g+k+o<>0 and d+h+l+p=0 then let s25=s25+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n=0 and c+g+k+o=0 and d+h+l+p<>0 then let s26=s26+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n=0 and c+g+k+o<>0 and d+h+l+p=0 then let s27=s27+1
if a+b+c+d<>0 and e+f+g+h<>0 and i+j+k+l<>0 and m+n+o+p<>0 and a+e+i+m<>0 and b+f+j+n<>0 and c+g+k+o=0 and d+h+l+p=0 then let s28=s28+1
10 next p
20 next o
30 next n
40 next m
50 next l
60 next k
70 next j
80 next i
90 next h
100 next g
110 next f
120 next e
130 next d
140 next c
150 next b
160 next a
print s1;"+";s2;"+";s3;"+";s4;"+";s5;"+";s6;"+";s7;"+";s8;"+";s9;"+";s10;"+";s11;"+";s12;"+";s13;"+";s14;"+";s15;"+";s16;"+";s17;"+";s18;"+";s19;"+";s20;"+";s21;"+";s22;"+";s23;"+";s24;"+";s25;"+";s26;"+";s27;"+";s28;"=";s1+s2+s3+s4+s5+s6+s7+s8+s9+s10+s11+s12+s13+s14+s15+s16+s17+s18+s19+s20+s21+s22+s23+s24+s25+s26+s27+s28
end

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2*c(4,2)*4*2^3+(c(4,1))^2*(c(9,5)-2*3*c(6,1))
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import random
import numpy as np
final_ans=[]
for n in range (100000):
x=[0,1,2,3]
y=[0,1,2,3]
list =[]
t_list=[]
a=[]
b=[]
for i in range (5):
xi = random.choice(x)
yi = random.choice(y)
p = (xi,yi)
list.append(p)
t_list = set(list)
if (len(t_list))!=5:
for i in range (5-len(t_list)):
xi = random.choice(x)
yi = random.choice(y)
p = (xi,yi)
list.append(p)
t_list = set(list)
if (len(t_list))!=5:
for i in range (5-len(t_list)):
xi = random.choice(x)
yi = random.choice(y)
p = (xi,yi)
list.append(p)
t_list = set(list)
if (len(t_list))!=5:
for i in range (5-len(t_list)):
xi = random.choice(x)
yi = random.choice(y)
p = (xi,yi)
list.append(p)
t_list = set(list)

a = [x[0] for x in t_list]
b = [x[1] for x in t_list]
x_a = set(a) & set(x)
y_a = set(b) & set (y)

if (len(x_a)+len(y_a)) == 6 and (len(t_list)) ==5:
final_ans.append(t_list)

def get_unique_list(seq):
seen = []
return [x for x in seq if x not in seen and not seen.append(x)]
print(len(get_unique_list(final_ans)))
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