Skip to content

Instantly share code, notes, and snippets.

@vladris
Last active August 5, 2017 20:01
Show Gist options
  • Star 1 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save vladris/c97fe158082000ae06ad624527433de6 to your computer and use it in GitHub Desktop.
Save vladris/c97fe158082000ae06ad624527433de6 to your computer and use it in GitHub Desktop.
24 solver
from itertools import permutations, product, zip_longest
from sys import argv
args = sum([[1, 11] if arg in "aA" else [int(arg)] for arg in argv[1:5]], [])
for xs in permutations(args, 4):
if sum(n == 1 or n == 11 for n in xs) > len(args) - 4:
continue
for ops in product("+-*/", repeat=3):
for exp in ["(...).(...)", "((...)..)..", "(..(...)).."]:
exp = exp.replace(".", "{}").format(*sum(zip_longest(xs, ops), ()))
try:
if eval(exp) == 24:
print(exp)
exit()
except ZeroDivisionError:
pass
print("No solution")
@vladris
Copy link
Author

vladris commented Aug 5, 2017

Cards Solution
A A A A (1+11)+(1+11)
A A A 2 (1+11)*(1*2)
A A A 3 (1+11)*(3-1)
A A A 4 No solution
A A A 5 ((11*11)-1)/5
A A A 6 No solution
A A A 7 No solution
A A A 8 ((1+1)+1)*8
A A A 9 (1+11)*(11-9)
A A A 10 No solution
A A 2 2 ((1*11)*2)+2
A A 2 3 (1+2)*(11-3)
A A 2 4 ((1+11)/2)*4
A A 2 5 No solution
A A 2 6 (1+11)+(2*6)
A A 2 7 (1+2)*(1+7)
A A 2 8 (1+(1*2))*8
A A 2 9 ((1+2)*11)-9
A A 2 10 (1+11)+(2+10)
A A 3 3 ((1*11)-3)*3
A A 3 4 (1+11)+(3*4)
A A 3 5 (1+11)*(5-3)
A A 3 6 ((1+11)/3)*6
A A 3 7 (1+(1*7))*3
A A 3 8 (1-1)+(3*8)
A A 3 9 (1+11)+(3+9)
A A 3 10 (1+(11*3))-10
A A 4 4 ((1+1)+4)*4
A A 4 5 ((1*11)-5)*4
A A 4 6 ((1+11)-6)*4
A A 4 7 ((1+4)*7)-11
A A 4 8 (1+11)+(4+8)
A A 4 9 (1*11)+(4+9)
A A 4 10 ((1+1)*10)+4
A A 5 5 (1-5)*(5-11)
A A 5 6 ((1*5)-1)*6
A A 5 7 (1+11)+(5+7)
A A 5 8 (1*11)+(5+8)
A A 5 9 (11-1)+(5+9)
A A 5 10 ((1+11)/5)*10
A A 6 6 (1+11)+(6+6)
A A 6 7 (1*11)+(6+7)
A A 6 8 ((1+11)-8)*6
A A 6 9 ((1+1)*9)+6
A A 6 10 No solution
A A 7 7 (1-7)*(7-11)
A A 7 8 (1+7)*(11-8)
A A 7 9 (1+11)*(9-7)
A A 7 10 ((1+1)*7)+10
A A 8 8 ((1*11)-8)*8
A A 8 9 ((1+11)-9)*8
A A 8 10 (1+11)*(10-8)
A A 9 9 No solution
A A 9 10 No solution
A A 10 10 No solution
A 2 2 2 ((11+2)*2)-2
A 2 2 3 ((11-2)+3)*2
A 2 2 4 (1+2)*(2*4)
A 2 2 5 (1+5)*(2+2)
A 2 2 6 (1+2)*(2+6)
A 2 2 7 (2+2)*(7-1)
A 2 2 8 ((2-1)+2)*8
A 2 2 9 ((1+2)+9)*2
A 2 2 10 (1*2)*(2+10)
A 2 3 3 (1+3)*(2*3)
A 2 3 4 ((1+2)+3)*4
A 2 3 5 (1+2)*(3+5)
A 2 3 6 ((1*2)+6)*3
A 2 3 7 (1+2)+(3*7)
A 2 3 8 ((1+3)+8)*2
A 2 3 9 (1*2)*(3+9)
A 2 3 10 (1+(2*10))+3
A 2 4 4 (1+2)*(4+4)
A 2 4 5 (11+(2*4))+5
A 2 4 6 ((11*2)-4)+6
A 2 4 7 ((1-2)+7)*4
A 2 4 8 ((1-2)+4)*8
A 2 4 9 ((1+9)*2)+4
A 2 4 10 ((1*2)*10)+4
A 2 5 5 (1-2)+(5*5)
A 2 5 6 ((1-2)+5)*6
A 2 5 7 (1*2)*(5+7)
A 2 5 8 ((1+5)/2)*8
A 2 5 9 ((1+2)*5)+9
A 2 5 10 (11-2)+(5+10)
A 2 6 6 ((1+2)*6)+6
A 2 6 7 ((1+7)/2)*6
A 2 6 8 (1/2)*(6*8)
A 2 6 9 ((1*2)*9)+6
A 2 6 10 ((1+2)*10)-6
A 2 7 7 (11+(7/7))*2
A 2 7 8 (1+(2*8))+7
A 2 7 9 (1+(2*7))+9
A 2 7 10 ((1*2)*7)+10
A 2 8 8 ((1*2)*8)+8
A 2 8 9 (11+(8/2))+9
A 2 8 10 ((11*2)-8)+10
A 2 9 9 (11+(9/9))*2
A 2 9 10 (11-9)*(2+10)
A 2 10 10 (11+(10/10))*2
A 3 3 3 (1+3)*(3+3)
A 3 3 4 ((1*3)+3)*4
A 3 3 5 (1*3)*(3+5)
A 3 3 6 ((1+6)*3)+3
A 3 3 7 (1*3)+(3*7)
A 3 3 8 ((1+8)*3)-3
A 3 3 9 (1+3)*(9-3)
A 3 3 10 ((1-3)+10)*3
A 3 4 4 (1*3)*(4+4)
A 3 4 5 (1+3)+(4*5)
A 3 4 6 (11+3)+(4+6)
A 3 4 7 ((1+3)*7)-4
A 3 4 8 ((1+3)*4)+8
A 3 4 9 (1+(3*9))-4
A 3 4 10 (1+3)*(10-4)
A 3 5 5 (11+3)+(5+5)
A 3 5 6 (1+(3*6))+5
A 3 5 7 (1+5)*(7-3)
A 3 5 8 (1+(3*5))+8
A 3 5 9 ((1*3)*5)+9
A 3 5 10 ((3*5)-1)+10
A 3 6 6 ((1-3)+6)*6
A 3 6 7 (1*6)*(7-3)
A 3 6 8 (1+(6/3))*8
A 3 6 9 ((1+9)*3)-6
A 3 6 10 ((1*3)*10)-6
A 3 7 7 (1-7)*(3-7)
A 3 7 8 (11+(3*7))-8
A 3 7 9 ((1+7)/3)*9
A 3 7 10 (1+(3*10))-7
A 3 8 8 ((1+3)*8)-8
A 3 8 9 (1/3)*(8*9)
A 3 8 10 (11-10)*(3*8)
A 3 9 9 ((11/3)*9)-9
A 3 9 10 ((1+10)*3)-9
A 3 10 10 (1+3)+(10+10)
A 4 4 4 ((1+4)*4)+4
A 4 4 5 (1*4)+(4*5)
A 4 4 6 ((1+6)*4)-4
A 4 4 7 (1+(4*4))+7
A 4 4 8 ((1*4)*4)+8
A 4 4 9 ((1-4)+9)*4
A 4 4 10 (1*4)*(10-4)
A 4 5 5 ((4*5)-1)+5
A 4 5 6 ((11+5)/4)*6
A 4 5 7 (1+(4*7))-5
A 4 5 8 (1+5)*(8-4)
A 4 5 9 ((4-1)*5)+9
A 4 5 10 (1-5)*(4-10)
A 4 6 6 ((1+4)*6)-6
A 4 6 7 ((1-4)+7)*6
A 4 6 8 ((1-4)+6)*8
A 4 6 9 (9-(1+4))*6
A 4 6 10 (11-10)*(4*6)
A 4 7 7 (1+7)*(7-4)
A 4 7 8 ((1+7)*4)-8
A 4 7 9 (1-9)*(4-7)
A 4 7 10 (11-4)+(7+10)
A 4 8 8 ((1*4)*8)-8
A 4 8 9 (1+(4*8))-9
A 4 8 10 ((4-11)+10)*8
A 4 9 9 No solution
A 4 9 10 (1+4)+(9+10)
A 4 10 10 (1*4)+(10+10)
A 5 5 5 (5-(1/5))*5
A 5 5 6 ((1+5)*5)-6
A 5 5 7 (7-(11/5))*5
A 5 5 8 (5*8)-(11+5)
A 5 5 9 (1+5)*(9-5)
A 5 5 10 ((5*5)-11)+10
A 5 6 6 ((1*5)*6)-6
A 5 6 7 (1+(5*6))-7
A 5 6 8 ((1-5)+8)*6
A 5 6 9 (1*6)*(9-5)
A 5 6 10 (1+5)*(10-6)
A 5 7 7 (5-(11/7))*7
A 5 7 8 ((1-5)+7)*8
A 5 7 9 (1-7)*(5-9)
A 5 7 10 (1+(7/5))*10
A 5 8 8 ((1*8)-5)*8
A 5 8 9 (1-9)*(5-8)
A 5 8 10 (1+5)+(8+10)
A 5 9 9 (1+5)+(9+9)
A 5 9 10 (1*5)+(9+10)
A 5 10 10 ((11*10)+10)/5
A 6 6 6 ((11-6)*6)-6
A 6 6 7 (11*6)-(6*7)
A 6 6 8 ((11-8)*6)+6
A 6 6 9 ((1-6)+9)*6
A 6 6 10 (1*6)*(10-6)
A 6 7 7 (6*7)-(11+7)
A 6 7 8 ((11+7)/6)*8
A 6 7 9 (1+7)*(9-6)
A 6 7 10 (1+6)+(7+10)
A 6 8 8 ((1-6)+8)*8
A 6 8 9 (1+6)+(8+9)
A 6 8 10 (1*6)+(8+10)
A 6 9 9 (1*6)+(9+9)
A 6 9 10 (11-6)+(9+10)
A 6 10 10 No solution
A 7 7 7 No solution
A 7 7 8 ((7-11)+7)*8
A 7 7 9 (1+7)+(7+9)
A 7 7 10 (1*7)+(7+10)
A 7 8 8 (1+7)+(8+8)
A 7 8 9 (1*7)+(8+9)
A 7 8 10 (1*8)*(10-7)
A 7 9 9 (7-1)+(9+9)
A 7 9 10 (1-9)*(7-10)
A 7 10 10 (11-7)+(10+10)
A 8 8 8 (1*8)+(8+8)
A 8 8 9 ((11-9)*8)+8
A 8 8 10 ((1-8)+10)*8
A 8 9 9 No solution
A 8 9 10 No solution
A 8 10 10 No solution
A 9 9 9 No solution
A 9 9 10 No solution
A 9 10 10 No solution
A 10 10 10 No solution
2 2 2 2 No solution
2 2 2 3 (2+2)*(2*3)
2 2 2 4 ((2+2)+2)*4
2 2 2 5 (2+(2*5))*2
2 2 2 6 No solution
2 2 2 7 ((2*7)-2)*2
2 2 2 8 (2+(2/2))*8
2 2 2 9 (2*(2+9))+2
2 2 2 10 (2+2)+(2*10)
2 2 3 3 (2+2)*(3+3)
2 2 3 4 ((2+2)+4)*3
2 2 3 5 ((2*5)-2)*3
2 2 3 6 ((2/2)+3)*6
2 2 3 7 ((2/2)+7)*3
2 2 3 8 (2-2)+(3*8)
2 2 3 9 (2+(2/3))*9
2 2 3 10 (2*(3+10))-2
2 2 4 4 ((2*4)-2)*4
2 2 4 5 (2+2)+(4*5)
2 2 4 6 (2-2)+(4*6)
2 2 4 7 ((2+2)*7)-4
2 2 4 8 ((2+2)*4)+8
2 2 4 9 (2+(2*9))+4
2 2 4 10 (2+2)*(10-4)
2 2 5 5 ((2+5)+5)*2
2 2 5 6 (2*(5+6))+2
2 2 5 7 (2*5)+(2*7)
2 2 5 8 (2*(5+8))-2
2 2 5 9 ((5-2)+9)*2
2 2 5 10 (2+(2/5))*10
2 2 6 6 ((2+6)/2)*6
2 2 6 7 (2*(2+7))+6
2 2 6 8 (2*(2+6))+8
2 2 6 9 ((2*9)-6)*2
2 2 6 10 (2+(2*6))+10
2 2 7 7 ((7-2)+7)*2
2 2 7 8 (2+(2*7))+8
2 2 7 9 No solution
2 2 7 10 (7+(10/2))*2
2 2 8 8 ((2+2)*8)-8
2 2 8 9 ((2*9)-2)+8
2 2 8 10 ((2*8)-2)+10
2 2 9 9 No solution
2 2 9 10 (2*(9-2))+10
2 2 10 10 (2+2)+(10+10)
2 3 3 3 ((2+3)+3)*3
2 3 3 4 No solution
2 3 3 5 ((2+5)*3)+3
2 3 3 6 (2*3)+(3*6)
2 3 3 7 (2*3)*(7-3)
2 3 3 8 (2+(3/3))*8
2 3 3 9 ((2+3)*3)+9
2 3 3 10 (3+(10/2))*3
2 3 4 4 ((2+3)*4)+4
2 3 4 5 ((3-2)+5)*4
2 3 4 6 (2+(3*6))+4
2 3 4 7 ((2-3)+7)*4
2 3 4 8 ((2-3)+4)*8
2 3 4 9 (2/3)*(4*9)
2 3 4 10 (2+(3*4))+10
2 3 5 5 (2-3)+(5*5)
2 3 5 6 ((2-3)+5)*6
2 3 5 7 (2+(3*5))+7
2 3 5 8 (2*(3+5))+8
2 3 5 9 (2+(3*9))-5
2 3 5 10 (2+10)*(5-3)
2 3 6 6 ((2+3)*6)-6
2 3 6 7 ((2*7)-6)*3
2 3 6 8 ((2+8)*3)-6
2 3 6 9 ((2+6)/3)*9
2 3 6 10 (2*3)*(10-6)
2 3 7 7 (2*7)+(3+7)
2 3 7 8 ((2+7)/3)*8
2 3 7 9 (3/2)*(7+9)
2 3 7 10 (2+(7*10))/3
2 3 8 8 ((2*8)-8)*3
2 3 8 9 (8/2)*(9-3)
2 3 8 10 (2*3)+(8+10)
2 3 9 9 (2*3)+(9+9)
2 3 9 10 (2+3)+(9+10)
2 3 10 10 (2*(10-3))+10
2 4 4 4 (2*4)+(4*4)
2 4 4 5 ((2+5)*4)-4
2 4 4 6 (2+(4*4))+6
2 4 4 7 (2*4)*(7-4)
2 4 4 8 (2+(4/4))*8
2 4 4 9 (4*(9-2))-4
2 4 4 10 (2*(4+10))-4
2 4 5 5 (2*(5+5))+4
2 4 5 6 ((2+4)*5)-6
2 4 5 7 (4-2)*(5+7)
2 4 5 8 ((2-4)+5)*8
2 4 5 9 (2+4)*(9-5)
2 4 5 10 (2*5)+(4+10)
2 4 6 6 ((2-4)+6)*6
2 4 6 7 (2+(4*7))-6
2 4 6 8 (2/4)*(6*8)
2 4 6 9 (2+(4/6))*9
2 4 6 10 (2*4)+(6+10)
2 4 7 7 (2*(7+7))-4
2 4 7 8 ((2*7)-8)*4
2 4 7 9 (2*4)+(7+9)
2 4 7 10 (2*4)*(10-7)
2 4 8 8 (2*4)+(8+8)
2 4 8 9 (9-(2+4))*8
2 4 8 10 (2+4)+(8+10)
2 4 9 9 (2+4)+(9+9)
2 4 9 10 ((2*9)-4)+10
2 4 10 10 (2+(4/10))*10
2 5 5 5 No solution
2 5 5 6 No solution
2 5 5 7 (2*7)+(5+5)
2 5 5 8 (2+(5/5))*8
2 5 5 9 (2*5)+(5+9)
2 5 5 10 (5-(2/10))*5
2 5 6 6 ((2*5)-6)*6
2 5 6 7 ((2-5)+7)*6
2 5 6 8 (2+(5*6))-8
2 5 6 9 ((5/2)*6)+9
2 5 6 10 (2/5)*(6*10)
2 5 7 7 (2*5)+(7+7)
2 5 7 8 ((2*5)-7)*8
2 5 7 9 (5*7)-(2+9)
2 5 7 10 (2+5)+(7+10)
2 5 8 8 (5*8)-(2*8)
2 5 8 9 (2+5)+(8+9)
2 5 8 10 (2-10)*(5-8)
2 5 9 9 No solution
2 5 9 10 ((2*10)-5)+9
2 5 10 10 ((2+10)/5)*10
2 6 6 6 (2*6)+(6+6)
2 6 6 7 (6+(6*7))/2
2 6 6 8 (2+(6/6))*8
2 6 6 9 (2+6)*(9-6)
2 6 6 10 (2+6)+(6+10)
2 6 7 7 No solution
2 6 7 8 ((2-6)+7)*8
2 6 7 9 (2+6)+(7+9)
2 6 7 10 (2+6)*(10-7)
2 6 8 8 (2+6)+(8+8)
2 6 8 9 (2/6)*(8*9)
2 6 8 10 (2*(6+10))-8
2 6 9 9 (2+(6/9))*9
2 6 9 10 (2-10)*(6-9)
2 6 10 10 ((2*10)-6)+10
2 7 7 7 No solution
2 7 7 8 (2+7)+(7+8)
2 7 7 9 No solution
2 7 7 10 (2+(10/7))*7
2 7 8 8 ((2-7)+8)*8
2 7 8 9 (2*(7+9))-8
2 7 8 10 No solution
2 7 9 9 No solution
2 7 9 10 (2+10)*(9-7)
2 7 10 10 (2*(7+10))-10
2 8 8 8 (2+(8/8))*8
2 8 8 9 ((2-8)+9)*8
2 8 8 10 (8-2)+(8+10)
2 8 9 9 (2+(9/9))*8
2 8 9 10 (2*(8+9))-10
2 8 10 10 (2+10)*(10-8)
2 9 9 9 No solution
2 9 9 10 No solution
2 9 10 10 (9+(10/2))+10
2 10 10 10 No solution
3 3 3 3 ((3*3)*3)-3
3 3 3 4 ((3*3)-3)*4
3 3 3 5 (3*3)+(3*5)
3 3 3 6 (3+3)+(3*6)
3 3 3 7 (3+3)*(7-3)
3 3 3 8 ((3+3)-3)*8
3 3 3 9 (9-(3/3))*3
3 3 3 10 (3*10)-(3+3)
3 3 4 4 (3*4)+(3*4)
3 3 4 5 ((3/3)+5)*4
3 3 4 6 (3-3)+(4*6)
3 3 4 7 ((4-3)+7)*3
3 3 4 8 (3+3)*(8-4)
3 3 4 9 (3+(3*4))+9
3 3 4 10 No solution
3 3 5 5 (5*5)-(3/3)
3 3 5 6 (3+(3*5))+6
3 3 5 7 ((3*5)-7)*3
3 3 5 8 No solution
3 3 5 9 (3+3)*(9-5)
3 3 5 10 (3-(3/5))*10
3 3 6 6 ((6/3)+6)*3
3 3 6 7 (3*(3+7))-6
3 3 6 8 ((3*3)-6)*8
3 3 6 9 (3*3)+(6+9)
3 3 6 10 (3+3)*(10-6)
3 3 7 7 (3+(3/7))*7
3 3 7 8 (3*3)+(7+8)
3 3 7 9 (3-7)*(3-9)
3 3 7 10 No solution
3 3 8 8 No solution
3 3 8 9 (3*(3+8))-9
3 3 8 10 (3+3)+(8+10)
3 3 9 9 (3+3)+(9+9)
3 3 9 10 (3+(3*10))-9
3 3 10 10 No solution
3 4 4 4 ((3+4)*4)-4
3 4 4 5 (3+(4*4))+5
3 4 4 6 (3+(4/4))*6
3 4 4 7 ((3-4)+7)*4
3 4 4 8 ((3+4)-4)*8
3 4 4 9 ((4+4)/3)*9
3 4 4 10 (4*(10-3))-4
3 4 5 5 (3-4)+(5*5)
3 4 5 6 ((3-4)+5)*6
3 4 5 7 (3*4)+(5+7)
3 4 5 8 ((3+5)*4)-8
3 4 5 9 ((3*5)-9)*4
3 4 5 10 ((3*4)/5)*10
3 4 6 6 (3*4)+(6+6)
3 4 6 7 No solution
3 4 6 8 ((3*4)-8)*6
3 4 6 9 ((3-6)+9)*4
3 4 6 10 ((3*6)-4)+10
3 4 7 7 (3+(4*7))-7
3 4 7 8 (4*(7-3))+8
3 4 7 9 (3*(4+7))-9
3 4 7 10 (3+4)+(7+10)
3 4 8 8 No solution
3 4 8 9 (3+4)+(8+9)
3 4 8 10 (3*4)*(10-8)
3 4 9 9 (3*(9-4))+9
3 4 9 10 No solution
3 4 10 10 (3*10)+(4-10)
3 5 5 5 No solution
3 5 5 6 (3+(5/5))*6
3 5 5 7 (5-3)*(5+7)
3 5 5 8 ((3+5)-5)*8
3 5 5 9 (3+(9/5))*5
3 5 5 10 No solution
3 5 6 6 ((3-5)+6)*6
3 5 6 7 ((5+7)/3)*6
3 5 6 8 (3*(6-5))*8
3 5 6 9 (3+(5*6))-9
3 5 6 10 (3+5)+(6+10)
3 5 7 7 No solution
3 5 7 8 ((3*7)-5)+8
3 5 7 9 (3+5)+(7+9)
3 5 7 10 (3+5)*(10-7)
3 5 8 8 (3+5)+(8+8)
3 5 8 9 (3*9)+(5-8)
3 5 8 10 No solution
3 5 9 9 (3-9)*(5-9)
3 5 9 10 ((3+9)/5)*10
3 5 10 10 (10-(10/5))*3
3 6 6 6 (3+(6/6))*6
3 6 6 7 ((3-6)+7)*6
3 6 6 8 ((3+6)-6)*8
3 6 6 9 (3+6)+(6+9)
3 6 6 10 ((6-3)*10)-6
3 6 7 7 (3+(7/7))*6
3 6 7 8 (3+6)+(7+8)
3 6 7 9 ((3*7)-6)+9
3 6 7 10 ((6/3)*7)+10
3 6 8 8 (3+(8/8))*6
3 6 8 9 ((3-8)+9)*6
3 6 8 10 ((6-8)+10)*3
3 6 9 9 (3*9)+(6-9)
3 6 9 10 (3-9)*(6-10)
3 6 10 10 (3-(6/10))*10
3 7 7 7 (3+7)+(7+7)
3 7 7 8 ((3+7)-7)*8
3 7 7 9 (9-(7/7))*3
3 7 7 10 ((3*7)-7)+10
3 7 8 8 (3*(8-7))*8
3 7 8 9 ((7-8)+9)*3
3 7 8 10 No solution
3 7 9 9 (3+9)*(9-7)
3 7 9 10 (3*9)+(7-10)
3 7 10 10 (7-3)+(10+10)
3 8 8 8 ((3+8)-8)*8
3 8 8 9 (3*8)*(9-8)
3 8 8 10 ((8*10)-8)/3
3 8 9 9 (3*8)+(9-9)
3 8 9 10 (3*8)*(10-9)
3 8 10 10 (3*8)+(10-10)
3 9 9 9 (9-3)+(9+9)
3 9 9 10 ((9+9)-10)*3
3 9 10 10 (9-(10/10))*3
3 10 10 10 No solution
4 4 4 4 (4+4)+(4*4)
4 4 4 5 ((4/4)+5)*4
4 4 4 6 ((4+4)-4)*6
4 4 4 7 (4+4)*(7-4)
4 4 4 8 ((4+4)*4)-8
4 4 4 9 (4*(9-4))+4
4 4 4 10 ((4*4)-10)*4
4 4 5 5 (4+(4/5))*5
4 4 5 6 (4*(5-4))*6
4 4 5 7 ((4-5)+7)*4
4 4 5 8 ((4+4)-5)*8
4 4 5 9 No solution
4 4 5 10 (4+(10/5))*4
4 4 6 6 No solution
4 4 6 7 No solution
4 4 6 8 ((4-6)+8)*4
4 4 6 9 ((4*4)/6)*9
4 4 6 10 (4+4)+(6+10)
4 4 7 7 (4-(4/7))*7
4 4 7 8 (4+(4*7))-8
4 4 7 9 (4+4)+(7+9)
4 4 7 10 (4+4)*(10-7)
4 4 8 8 (4+4)+(8+8)
4 4 8 9 (4*9)-(4+8)
4 4 8 10 (4-8)*(4-10)
4 4 9 9 No solution
4 4 9 10 No solution
4 4 10 10 ((10*10)-4)/4
4 5 5 5 (4+(5*5))-5
4 5 5 6 ((4+5)-5)*6
4 5 5 7 (7-(5/5))*4
4 5 5 8 (4-(5/5))*8
4 5 5 9 ((4*5)-5)+9
4 5 5 10 (4+5)+(5+10)
4 5 6 6 (4*(6-5))*6
4 5 6 7 ((5-6)+7)*4
4 5 6 8 ((4+5)-6)*8
4 5 6 9 (4+5)+(6+9)
4 5 6 10 (4+(5*6))-10
4 5 7 7 (5*7)-(4+7)
4 5 7 8 (4+5)+(7+8)
4 5 7 9 (4*7)+(5-9)
4 5 7 10 ((7-5)*10)+4
4 5 8 8 (5-(8/4))*8
4 5 8 9 (4*(9-5))+8
4 5 8 10 ((4+8)/5)*10
4 5 9 9 (5+(9/9))*4
4 5 9 10 (4-10)*(5-9)
4 5 10 10 (5+(10/10))*4
4 6 6 6 ((4+6)-6)*6
4 6 6 7 (4*6)*(7-6)
4 6 6 8 (4+6)+(6+8)
4 6 6 9 (4*9)-(6+6)
4 6 6 10 (6/4)*(6+10)
4 6 7 7 (4+6)+(7+7)
4 6 7 8 ((4+6)-7)*8
4 6 7 9 (6/4)*(7+9)
4 6 7 10 (4*7)+(6-10)
4 6 8 8 (4*6)+(8-8)
4 6 8 9 (4*6)*(9-8)
4 6 8 10 (4*(10-6))+8
4 6 9 9 (4*6)+(9-9)
4 6 9 10 (4*6)*(10-9)
4 6 10 10 (4*6)+(10-10)
4 7 7 7 (7-(7/7))*4
4 7 7 8 (4-(7/7))*8
4 7 7 9 No solution
4 7 7 10 No solution
4 7 8 8 ((4+7)-8)*8
4 7 8 9 (4+8)*(9-7)
4 7 8 10 ((7/4)*8)+10
4 7 9 9 (7-(9/9))*4
4 7 9 10 (4*10)-(7+9)
4 7 10 10 (7-(10/10))*4
4 8 8 8 (4-(8/8))*8
4 8 8 9 ((4+8)-9)*8
4 8 8 10 (4+8)*(10-8)
4 8 9 9 (4-(9/9))*8
4 8 9 10 ((4+9)-10)*8
4 8 10 10 (4-(10/10))*8
4 9 9 9 No solution
4 9 9 10 (9-4)+(9+10)
4 9 10 10 No solution
4 10 10 10 No solution
5 5 5 5 (5*5)-(5/5)
5 5 5 6 (5+(5*5))-6
5 5 5 7 No solution
5 5 5 8 No solution
5 5 5 9 (5+5)+(5+9)
5 5 5 10 No solution
5 5 6 6 ((5+5)-6)*6
5 5 6 7 (5*5)+(6-7)
5 5 6 8 (5+5)+(6+8)
5 5 6 9 No solution
5 5 6 10 No solution
5 5 7 7 (5+5)+(7+7)
5 5 7 8 ((5+5)-7)*8
5 5 7 9 No solution
5 5 7 10 ((5+7)/5)*10
5 5 8 8 (5*5)-(8/8)
5 5 8 9 (5*5)+(8-9)
5 5 8 10 ((5+10)/5)*8
5 5 9 9 (5*5)-(9/9)
5 5 9 10 (5*5)+(9-10)
5 5 10 10 (5*5)-(10/10)
5 6 6 6 (5-(6/6))*6
5 6 6 7 (5+6)+(6+7)
5 6 6 8 (6*(8-5))+6
5 6 6 9 (6*9)-(5*6)
5 6 6 10 ((6+6)/5)*10
5 6 7 7 (5-(7/7))*6
5 6 7 8 ((5+7)-8)*6
5 6 7 9 ((7-5)*9)+6
5 6 7 10 No solution
5 6 8 8 ((5+6)-8)*8
5 6 8 9 ((5+8)-9)*6
5 6 8 10 (5*6)*(8/10)
5 6 9 9 (5*(9-6))+9
5 6 9 10 ((5+9)-10)*6
5 6 10 10 (5-(10/10))*6
5 7 7 7 No solution
5 7 7 8 No solution
5 7 7 9 (5+7)*(9-7)
5 7 7 10 ((7-5)*7)+10
5 7 8 8 ((7-5)*8)+8
5 7 8 9 ((5+7)-9)*8
5 7 8 10 (5+7)*(10-8)
5 7 9 9 No solution
5 7 9 10 (5*(10-7))+9
5 7 10 10 ((7/5)*10)+10
5 8 8 8 (5*8)-(8+8)
5 8 8 9 (8/(8-5))*9
5 8 8 10 ((5+8)-10)*8
5 8 9 9 No solution
5 8 9 10 No solution
5 8 10 10 No solution
5 9 9 9 No solution
5 9 9 10 No solution
5 9 10 10 (9-5)+(10+10)
5 10 10 10 No solution
6 6 6 6 (6+6)+(6+6)
6 6 6 7 No solution
6 6 6 8 ((6+6)-8)*6
6 6 6 9 (6*6)*(6/9)
6 6 6 10 (6*10)-(6*6)
6 6 7 7 No solution
6 6 7 8 No solution
6 6 7 9 (6+6)*(9-7)
6 6 7 10 (6*(10-7))+6
6 6 8 8 (6/(8-6))*8
6 6 8 9 ((6+6)-9)*8
6 6 8 10 (6+6)*(10-8)
6 6 9 9 No solution
6 6 9 10 ((6+10)/6)*9
6 6 10 10 No solution
6 7 7 7 No solution
6 7 7 8 No solution
6 7 7 9 No solution
6 7 7 10 ((7+7)-10)*6
6 7 8 8 No solution
6 7 8 9 (6*8)/(9-7)
6 7 8 10 (6*7)-(8+10)
6 7 9 9 (6*7)-(9+9)
6 7 9 10 No solution
6 7 10 10 ((10-7)*10)-6
6 8 8 8 ((8-6)*8)+8
6 8 8 9 ((8+8)/6)*9
6 8 8 10 (6*8)/(10-8)
6 8 9 9 (8/6)*(9+9)
6 8 9 10 (9*(10-8))+6
6 8 10 10 No solution
6 9 9 9 No solution
6 9 9 10 ((9/6)*10)+9
6 9 10 10 No solution
6 10 10 10 (10-6)+(10+10)
7 7 7 7 No solution
7 7 7 8 No solution
7 7 7 9 No solution
7 7 7 10 No solution
7 7 8 8 No solution
7 7 8 9 No solution
7 7 8 10 No solution
7 7 9 9 No solution
7 7 9 10 (7*(9-7))+10
7 7 10 10 No solution
7 8 8 8 No solution
7 8 8 9 (8*(9-7))+8
7 8 8 10 (8*10)-(7*8)
7 8 9 9 No solution
7 8 9 10 (8*9)/(10-7)
7 8 10 10 (7*(10-8))+10
7 9 9 9 No solution
7 9 9 10 No solution
7 9 10 10 No solution
7 10 10 10 No solution
8 8 8 8 No solution
8 8 8 9 No solution
8 8 8 10 (8*(10-8))+8
8 8 9 9 No solution
8 8 9 10 No solution
8 8 10 10 No solution
8 9 9 9 No solution
8 9 9 10 No solution
8 9 10 10 No solution
8 10 10 10 No solution
9 9 9 9 No solution
9 9 9 10 No solution
9 9 10 10 No solution
9 10 10 10 No solution
10 10 10 10 No solution

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment