This is the simple version of [Fastest Code : Equal to 24](http://www.codewars.com/kata/574e890e296e412a0400149c). 

## Task

A game I played when I was young: Draw 4 cards from playing cards, use ```+ - * / and ()``` to make the final results equal to 24.

You will coding in function ```equalTo24```. Function accept 4 parameters ```a b c d```(4 cards), value range is 1-13.

The result is a string such as ```"2*2*2*3"``` ,```(4+2)*(5-1)```; If it is not possible to calculate the 24, please return "It's not possible!"

All four cards are to be used, only use three or two cards are incorrect; Use a card twice or more is incorrect too.

You just need to return one correct solution, don't need to find out all the possibilities.

## Examples

Difficulty: interview

Starter code:

def equal_to_24(a,b,c,d):
	

Solutions:
from itertools import permutations

def equal_to_24(*aceg):
    ops = '+-*/'
    
    for b in ops:
        for d in ops:
            for f in ops:
                for (a,c,e,g) in permutations(aceg):
                    for s in make_string(a,b,c,d,e,f,g):
                        try:
                            if eval(s + '== 24'):
                                return s
                        except:
                            pass
                            
    return "It's not possible!"

def make_string(a,b,c,d,e,f,g):
    return [f"(({a} {b} {c}) {d} {e}) {f} {g}",
            f"({a} {b} {c}) {d} ({e} {f} {g})",
            f"{a} {b} ({c} {d} ({e} {f} {g}))"]

from functools import lru_cache as memo
from itertools import permutations, product
from operator import add, sub, mul, truediv as div
operators = {add: '+', sub: '-', mul: '*', div: '/'}

@memo(None)
def evaluate_tree(terms, ops):
    if not ops: return {terms[0]: str(terms[0])}
    results = {}
    for idx, op in enumerate(ops, 1):
        left, right = evaluate_tree(terms[:idx], ops[:idx-1]), evaluate_tree(terms[idx:], ops[idx:])
        results.update({op(l, r): f'({left[l]}){operators[op]}({right[r]})'
                        for l, r in product(left, right) if not (op == div and r == 0)})
    return results

def equal_to_24(*terms):
    for operands in permutations(terms):
        for ops in product(operators, repeat=3):
            results = evaluate_tree(operands, ops)
            if 24 in results: return results[24]
    return "It's not possible!"

def equal_to_24(a,b,c,d):
    m = {(1, 1, 1, 8) : "((1+1)+1)*8",
    (1, 1, 1, 11) : "(1+1)*(1+11)",
    (1, 1, 1, 12) : "((1/1)+1)*12",
    (1, 1, 2, 6) : "((1+1)*2)*6",
    (1, 1, 2, 8) : "((1/1)+2)*8",
    (1, 1, 2, 10) : "(1+1)*(2+10)",
    (1, 1, 2, 11) : "(1+1)+(2*11)",
    (1, 1, 2, 12) : "12/((1/1)/2)",
    (1, 1, 3, 4) : "((1+1)*3)*4",
    (1, 1, 3, 6) : "((1/1)+3)*6",
    (1, 1, 3, 8) : "8/((1/1)/3)",
    (1, 1, 3, 9) : "(1+1)*(3+9)",
    (1, 1, 3, 12) : "(3-(1/1))*12",
    (1, 1, 4, 4) : "((1+1)+4)*4",
    (1, 1, 4, 6) : "6/((1/1)/4)",
    (1, 1, 4, 8) : "(4-(1/1))*8",
    (1, 1, 4, 12) : "12/((1+1)/4)",
    (1, 1, 4, 5) : "((1/1)+5)*4",
    (1, 1, 5, 6) : "(5-(1/1))*6",
    (1, 1, 5, 7) : "(1+1)*(5+7)",
    (1, 1, 5, 8) : "(5-(1+1))*8",
    (1, 1, 6, 6) : "(6-(1+1))*6",
    (1, 1, 6, 8) : "8/((1+1)/6)",
    (1, 1, 6, 12) : "((1+1)*6)+12",
    (1, 1, 3, 7) : "((1/1)+7)*3",
    (1, 1, 4, 7) : "(7-(1/1))*4",
    (1, 1, 7, 10) : "((1+1)*7)+10",
    (1, 1, 8, 8) : "((1+1)*8)+8",
    (1, 1, 6, 9) : "((1+1)*9)+6",
    (1, 1, 9, 13) : "((1+1)+9)+13",
    (1, 1, 3, 10) : "(10-(1+1))*3",
    (1, 1, 4, 10) : "((1+1)*10)+4",
    (1, 1, 10, 12) : "((1+1)+10)+12",
    (1, 1, 10, 13) : "((1/1)+10)+13",
    (1, 1, 11, 11) : "((1+1)+11)+11",
    (1, 1, 11, 12) : "((1/1)+11)+12",
    (1, 1, 11, 13) : "(11/(1/1))+13",
    (1, 1, 12, 12) : "(12/(1/1))+12",
    (1, 1, 12, 13) : "13-((1/1)-12)",
    (1, 1, 1, 13) : "(1+1)*(13-1)",
    (1, 1, 2, 13) : "(13-(1/1))*2",
    (1, 1, 13, 13) : "13-((1+1)-13)",
    (1, 1, 2, 7) : "(1+2)*(1+7)",
    (1, 2, 2, 4) : "((1+2)*2)*4",
    (1, 2, 2, 6) : "6/((1/2)/2)",
    (1, 2, 2, 8) : "(2-(1-2))*8",
    (1, 2, 2, 10) : "(1*2)*(2+10)",
    (1, 2, 2, 11) : "(1*2)+(2*11)",
    (1, 2, 3, 4) : "4/((1/2)/3)",
    (1, 2, 3, 5) : "(1+2)*(3+5)",
    (1, 2, 3, 6) : "(3-(1-2))*6",
    (1, 2, 3, 7) : "(1+2)+(3*7)",
    (1, 2, 3, 9) : "(1*2)*(3+9)",
    (1, 2, 3, 12) : "((1-2)+3)*12",
    (1, 2, 4, 4) : "((1*2)+4)*4",
    (1, 2, 4, 8) : "(1*2)*(4+8)",
    (1, 2, 4, 12) : "((1/2)*4)*12",
    (1, 2, 4, 5) : "(5-(1-2))*4",
    (1, 2, 5, 5) : "(1-2)+(5*5)",
    (1, 2, 5, 6) : "((1-2)+5)*6",
    (1, 2, 5, 7) : "(1*2)*(5+7)",
    (1, 2, 5, 8) : "(5-(1*2))*8",
    (1, 2, 5, 9) : "((1+2)*5)+9",
    (1, 2, 5, 12) : "(5-(1+2))*12",
    (1, 2, 6, 6) : "(6-(1*2))*6",
    (1, 2, 6, 8) : "((1/2)*6)*8",
    (1, 2, 6, 12) : "(6/(1/2))+12",
    (1, 2, 4, 7) : "((1-2)+7)*4",
    (1, 2, 6, 7) : "(7-(1+2))*6",
    (1, 2, 7, 10) : "(7/(1/2))+10",
    (1, 2, 8, 8) : "(8/(1/2))+8",
    (1, 2, 8, 9) : "9/((1+2)/8)",
    (1, 2, 8, 13) : "((1+2)+8)+13",
    (1, 1, 2, 9) : "(1+2)*(9-1)",
    (1, 2, 2, 9) : "((1+2)+9)*2",
    (1, 2, 4, 9) : "(9-(1+2))*4",
    (1, 2, 6, 9) : "(9/(1/2))+6",
    (1, 2, 9, 12) : "((1+2)+9)+12",
    (1, 2, 9, 13) : "((1*2)+9)+13",
    (1, 2, 3, 10) : "(10-(1*2))*3",
    (1, 2, 4, 10) : "(10/(1/2))+4",
    (1, 2, 6, 10) : "((1+2)*10)-6",
    (1, 2, 10, 11) : "((1+2)+10)+11",
    (1, 2, 10, 12) : "((1*2)+10)+12",
    (1, 2, 10, 13) : "13-((1-2)-10)",
    (1, 2, 3, 11) : "(11-(1+2))*3",
    (1, 2, 9, 11) : "((1+2)*11)-9",
    (1, 2, 11, 11) : "((1*2)+11)+11",
    (1, 2, 11, 12) : "12-((1-2)-11)",
    (1, 2, 11, 13) : "13-(11/(1-2))",
    (1, 2, 12, 12) : "12-(12/(1-2))",
    (1, 2, 12, 13) : "((1-2)+12)+13",
    (1, 2, 2, 13) : "(13/(1/2))-2",
    (1, 2, 5, 13) : "(1+2)*(13-5)",
    (1, 2, 13, 13) : "13-((1*2)-13)",
    (1, 1, 3, 5) : "(1+3)*(1+5)",
    (1, 1, 3, 13) : "(1-3)*(1-13)",
    (1, 2, 3, 3) : "((1+3)*2)*3",
    (1, 2, 3, 13) : "(1-3)+(2*13)",
    (1, 3, 3, 3) : "(1+3)*(3+3)",
    (1, 3, 3, 4) : "((1*3)+3)*4",
    (1, 3, 3, 5) : "(1*3)*(3+5)",
    (1, 3, 3, 7) : "(1*3)+(3*7)",
    (1, 3, 3, 9) : "(3-(1/3))*9",
    (1, 3, 3, 12) : "((1+3)*3)+12",
    (1, 3, 4, 4) : "(1*3)*(4+4)",
    (1, 3, 4, 5) : "(1+3)+(4*5)",
    (1, 3, 4, 8) : "((1+3)*4)+8",
    (1, 3, 4, 12) : "(4/(1/3))+12",
    (1, 3, 5, 8) : "((1-3)+5)*8",
    (1, 3, 5, 9) : "(5/(1/3))+9",
    (1, 3, 5, 12) : "(5-(1*3))*12",
    (1, 3, 3, 6) : "(6-(1-3))*3",
    (1, 3, 6, 6) : "(6/(1/3))+6",
    (1, 3, 6, 8) : "(6-(1*3))*8",
    (1, 3, 6, 12) : "((1/3)*6)*12",
    (1, 3, 4, 7) : "((1+3)*7)-4",
    (1, 3, 6, 7) : "(7-(1*3))*6",
    (1, 3, 7, 8) : "(7-(1+3))*8",
    (1, 3, 7, 10) : "10-((1-3)*7)",
    (1, 3, 7, 13) : "((1+3)+7)+13",
    (1, 2, 3, 8) : "(1+3)*(8-2)",
    (1, 3, 8, 8) : "8-((1-3)*8)",
    (1, 3, 8, 9) : "((1/3)*8)*9",
    (1, 3, 8, 12) : "12/((1+3)/8)",
    (1, 3, 8, 13) : "((1*3)+8)+13",
    (1, 3, 4, 9) : "(9-(1*3))*4",
    (1, 3, 6, 9) : "6-((1-3)*9)",
    (1, 3, 9, 11) : "((1+3)+9)+11",
    (1, 3, 9, 12) : "((1*3)+9)+12",
    (1, 3, 9, 13) : "13-((1-3)-9)",
    (1, 3, 3, 10) : "((1-3)+10)*3",
    (1, 3, 4, 10) : "4-((1-3)*10)",
    (1, 3, 6, 10) : "(10/(1/3))-6",
    (1, 3, 10, 10) : "((1+3)+10)+10",
    (1, 3, 10, 11) : "((1*3)+10)+11",
    (1, 3, 10, 12) : "12-((1-3)-10)",
    (1, 3, 3, 11) : "(11-(1*3))*3",
    (1, 3, 5, 11) : "(1+3)*(11-5)",
    (1, 3, 11, 11) : "11-((1-3)-11)",
    (1, 3, 12, 12) : "(12/(1/3))-12",
    (1, 3, 5, 13) : "(1*3)*(13-5)",
    (1, 3, 13, 13) : "((1-3)+13)+13",
    (1, 1, 4, 9) : "(1-4)*(1-9)",
    (1, 3, 4, 11) : "(1-4)*(3-11)",
    (1, 4, 4, 4) : "((1+4)*4)+4",
    (1, 4, 4, 5) : "(1*4)+(4*5)",
    (1, 4, 4, 8) : "(4/(1/4))+8",
    (1, 4, 4, 12) : "12-((1-4)*4)",
    (1, 4, 5, 9) : "9-((1-4)*5)",
    (1, 4, 5, 12) : "((1-4)+5)*12",
    (1, 4, 5, 13) : "(1-4)*(5-13)",
    (1, 4, 6, 6) : "6-((1-4)*6)",
    (1, 4, 6, 8) : "((1-4)+6)*8",
    (1, 4, 6, 12) : "(6-(1*4))*12",
    (1, 4, 6, 13) : "((1+4)+6)+13",
    (1, 4, 4, 7) : "(7/(1/4))-4",
    (1, 4, 6, 7) : "((1-4)+7)*6",
    (1, 4, 7, 8) : "(7-(1*4))*8",
    (1, 4, 7, 11) : "((1+4)*7)-11",
    (1, 4, 7, 12) : "(7-(1+4))*12",
    (1, 4, 7, 13) : "((1*4)+7)+13",
    (1, 4, 8, 8) : "(8/(1/4))-8",
    (1, 4, 8, 11) : "((1+4)+8)+11",
    (1, 4, 8, 12) : "((1/4)*8)*12",
    (1, 4, 8, 13) : "13-((1-4)-8)",
    (1, 4, 4, 9) : "((1-4)+9)*4",
    (1, 4, 6, 9) : "(9-(1+4))*6",
    (1, 4, 9, 10) : "((1+4)+9)+10",
    (1, 4, 9, 11) : "((1*4)+9)+11",
    (1, 4, 9, 12) : "(9/(1/4))-12",
    (1, 4, 4, 10) : "(10-(1*4))*4",
    (1, 4, 10, 10) : "((1*4)+10)+10",
    (1, 4, 10, 11) : "11-((1-4)-10)",
    (1, 4, 10, 12) : "12/((1+4)/10)",
    (1, 4, 4, 11) : "(11-(1+4))*4",
    (1, 4, 5, 11) : "(1*4)*(11-5)",
    (1, 3, 4, 13) : "(13-(1+4))*3",
    (1, 2, 2, 5) : "((1+5)*2)*2",
    (1, 3, 5, 6) : "((1+5)*3)+6",
    (1, 4, 5, 7) : "(1-5)+(4*7)",
    (1, 4, 5, 8) : "8-((1-5)*4)",
    (1, 4, 5, 10) : "(1-5)*(4-10)",
    (1, 1, 5, 5) : "(5/(1/5))-1",
    (1, 4, 5, 5) : "4-((1-5)*5)",
    (1, 5, 5, 5) : "(5-(1/5))*5",
    (1, 5, 5, 6) : "((1+5)*5)-6",
    (1, 5, 5, 11) : "(1-5)*(5-11)",
    (1, 5, 5, 13) : "((1+5)+5)+13",
    (1, 5, 6, 6) : "(6/(1/5))-6",
    (1, 5, 6, 12) : "(1-5)*(6-12)",
    (1, 5, 6, 13) : "((1*5)+6)+13",
    (1, 3, 5, 7) : "(1+5)*(7-3)",
    (1, 5, 7, 8) : "((1-5)+7)*8",
    (1, 5, 7, 11) : "(7/(1/5))-11",
    (1, 5, 7, 12) : "(7-(1*5))*12",
    (1, 5, 7, 13) : "(1-5)*(7-13)",
    (1, 5, 6, 8) : "((1-5)+8)*6",
    (1, 5, 8, 8) : "(8-(1*5))*8",
    (1, 5, 8, 10) : "((1+5)+8)+10",
    (1, 5, 8, 11) : "((1*5)+8)+11",
    (1, 5, 8, 12) : "12-((1-5)-8)",
    (1, 5, 5, 9) : "(1+5)*(9-5)",
    (1, 5, 6, 9) : "(9-(1*5))*6",
    (1, 5, 8, 9) : "(9-(1+5))*8",
    (1, 5, 9, 9) : "((1+5)+9)+9",
    (1, 5, 9, 10) : "((1*5)+9)+10",
    (1, 5, 9, 11) : "11-((1-5)-9)",
    (1, 5, 6, 10) : "(10-(1+5))*6",
    (1, 5, 10, 10) : "10-((1-5)-10)",
    (1, 5, 10, 12) : "((1/5)*10)*12",
    (1, 5, 12, 12) : "12/((1+5)/12)",
    (1, 5, 9, 13) : "(1+5)*(13-9)",
    (1, 4, 4, 6) : "4-((1-6)*4)",
    (1, 5, 6, 11) : "((1+6)*5)-11",
    (1, 6, 6, 11) : "((1+6)+6)+11",
    (1, 6, 6, 12) : "(6/(1/6))-12",
    (1, 6, 6, 13) : "13-((1-6)-6)",
    (1, 6, 7, 10) : "((1+6)+7)+10",
    (1, 6, 7, 11) : "((1*6)+7)+11",
    (1, 6, 7, 12) : "12-((1-6)-7)",
    (1, 6, 8, 8) : "((1-6)+8)*8",
    (1, 6, 8, 9) : "((1+6)+8)+9",
    (1, 6, 8, 10) : "((1*6)+8)+10",
    (1, 6, 8, 11) : "11-((1-6)-8)",
    (1, 6, 8, 12) : "(8-(1*6))*12",
    (1, 6, 6, 9) : "((1-6)+9)*6",
    (1, 6, 9, 9) : "((1*6)+9)+9",
    (1, 6, 9, 10) : "10-((1-6)-9)",
    (1, 6, 9, 12) : "(9-(1+6))*12",
    (1, 6, 6, 10) : "(10-(1*6))*6",
    (1, 4, 6, 11) : "((1-6)+11)*4",
    (1, 6, 12, 12) : "((1/6)*12)*12",
    (1, 3, 6, 13) : "((1-6)+13)*3",
    (1, 6, 9, 13) : "(1*6)*(13-9)",
    (1, 2, 7, 8) : "((1+7)*2)+8",
    (1, 2, 7, 12) : "12-((1-7)*2)",
    (1, 3, 7, 7) : "(1-7)*(3-7)",
    (1, 3, 7, 9) : "9/(3/(1+7))",
    (1, 5, 6, 7) : "(1-7)+(5*6)",
    (1, 5, 7, 9) : "(1-7)*(5-9)",
    (1, 4, 7, 7) : "(1+7)*(7-4)",
    (1, 7, 7, 9) : "((1+7)+7)+9",
    (1, 7, 7, 10) : "((1*7)+7)+10",
    (1, 7, 7, 11) : "(1-7)*(7-11)",
    (1, 7, 8, 8) : "((1+7)+8)+8",
    (1, 7, 8, 9) : "((1*7)+8)+9",
    (1, 7, 8, 10) : "10-((1-7)-8)",
    (1, 7, 8, 12) : "(1-7)*(8-12)",
    (1, 6, 7, 9) : "(1+7)*(9-6)",
    (1, 7, 9, 9) : "9-((1-7)-9)",
    (1, 7, 9, 12) : "(9-(1*7))*12",
    (1, 7, 9, 13) : "(1-7)*(9-13)",
    (1, 7, 10, 12) : "(10-(1+7))*12",
    (1, 7, 8, 11) : "(11-(1+7))*8",
    (1, 7, 10, 13) : "(1+7)*(13-10)",
    (1, 2, 8, 10) : "10-((1-8)*2)",
    (1, 3, 3, 8) : "3-((1-8)*3)",
    (1, 8, 8, 8) : "((1*8)+8)+8",
    (1, 8, 8, 9) : "9-((1-8)-8)",
    (1, 8, 9, 12) : "((1-8)+9)*12",
    (1, 8, 8, 10) : "((1-8)+10)*8",
    (1, 8, 10, 12) : "(10-(1*8))*12",
    (1, 8, 8, 11) : "(11-(1*8))*8",
    (1, 8, 11, 12) : "(11-(1+8))*12",
    (1, 8, 8, 12) : "(12-(1+8))*8",
    (1, 6, 8, 13) : "(13-(1+8))*6",
    (1, 8, 10, 13) : "(1*8)*(13-10)",
    (1, 2, 7, 9) : "(1+9)+(2*7)",
    (1, 4, 7, 9) : "(1-9)*(4-7)",
    (1, 4, 8, 9) : "(1-9)+(4*8)",
    (1, 5, 9, 12) : "12/(5/(1+9))",
    (1, 7, 9, 10) : "(1-9)*(7-10)",
    (1, 8, 9, 11) : "(1-9)*(8-11)",
    (1, 9, 9, 12) : "(1-9)*(9-12)",
    (1, 9, 10, 12) : "((1-9)+10)*12",
    (1, 9, 10, 13) : "(1-9)*(10-13)",
    (1, 9, 11, 12) : "(11-(1*9))*12",
    (1, 9, 12, 12) : "(12-(1+9))*12",
    (1, 8, 9, 13) : "(13-(1+9))*8",
    (1, 3, 9, 10) : "((1+10)*3)-9",
    (1, 10, 11, 12) : "((1-10)+11)*12",
    (1, 10, 12, 12) : "(12-(1*10))*12",
    (1, 6, 10, 13) : "((1-10)+13)*6",
    (1, 10, 12, 13) : "(13-(1+10))*12",
    (1, 2, 4, 11) : "4-((1-11)*2)",
    (1, 2, 6, 11) : "(1+11)+(2*6)",
    (1, 1, 3, 11) : "(1+11)*(3-1)",
    (1, 3, 6, 11) : "6/(3/(1+11))",
    (1, 3, 11, 12) : "((1+11)*3)-12",
    (1, 5, 10, 11) : "10/(5/(1+11))",
    (1, 6, 11, 12) : "12/(6/(1+11))",
    (1, 7, 9, 11) : "(1+11)*(9-7)",
    (1, 8, 10, 11) : "(1+11)*(10-8)",
    (1, 9, 11, 11) : "(1+11)*(11-9)",
    (1, 11, 12, 12) : "((1-11)+12)*12",
    (1, 8, 11, 13) : "((1-11)+13)*8",
    (1, 11, 11, 13) : "(1+11)*(13-11)",
    (1, 11, 12, 13) : "(13-(1*11))*12",
    (1, 2, 2, 12) : "2-((1-12)*2)",
    (1, 12, 12, 13) : "((1-12)+13)*12",
    (1, 2, 4, 13) : "(1-13)*(2-4)",
    (1, 3, 12, 13) : "(1-13)+(3*12)",
    (1, 4, 9, 13) : "(1-13)+(4*9)",
    (1, 7, 12, 13) : "12/(7/(1+13))",
    (1, 9, 11, 13) : "(1-13)*(9-11)",
    (1, 11, 13, 13) : "(1-13)*(11-13)",
    (1, 2, 4, 6) : "6/((2-1)/4)",
    (2, 2, 2, 3) : "((2*2)*2)*3",
    (2, 2, 2, 4) : "((2*2)+2)*4",
    (2, 2, 2, 8) : "((2/2)+2)*8",
    (2, 2, 2, 10) : "(2*2)+(2*10)",
    (2, 2, 2, 12) : "12/((2/2)/2)",
    (2, 2, 3, 3) : "(2*2)*(3+3)",
    (2, 2, 3, 6) : "((2/2)+3)*6",
    (2, 2, 3, 8) : "8/((2/2)/3)",
    (2, 2, 3, 12) : "(3-(2/2))*12",
    (2, 2, 3, 4) : "((2*2)+4)*3",
    (2, 2, 4, 5) : "(2*2)+(4*5)",
    (2, 2, 4, 6) : "6/((2/2)/4)",
    (2, 2, 4, 8) : "(4-(2/2))*8",
    (2, 2, 5, 6) : "(5-(2/2))*6",
    (2, 2, 6, 12) : "(6-(2*2))*12",
    (1, 2, 2, 7) : "(2*2)*(7-1)",
    (2, 2, 3, 7) : "((2/2)+7)*3",
    (2, 2, 4, 7) : "(7-(2/2))*4",
    (2, 2, 7, 8) : "(7-(2*2))*8",
    (2, 2, 7, 13) : "((2*2)+7)+13",
    (2, 2, 6, 8) : "(8-(2*2))*6",
    (2, 2, 8, 8) : "((2*2)*8)-8",
    (2, 2, 8, 12) : "12/((2*2)/8)",
    (2, 2, 3, 9) : "(9-(2/2))*3",
    (2, 2, 9, 11) : "((2*2)+9)+11",
    (2, 2, 9, 12) : "((2*2)*9)-12",
    (2, 2, 4, 10) : "(10-(2*2))*4",
    (2, 2, 10, 10) : "((2*2)+10)+10",
    (2, 2, 10, 13) : "((2/2)+10)+13",
    (2, 2, 2, 11) : "((2/2)+11)*2",
    (2, 2, 5, 11) : "(2*2)*(11-5)",
    (2, 2, 11, 12) : "((2/2)+11)+12",
    (2, 2, 11, 13) : "(11/(2/2))+13",
    (2, 2, 12, 12) : "(12/(2/2))+12",
    (2, 2, 12, 13) : "13-((2/2)-12)",
    (2, 2, 2, 13) : "(13-(2/2))*2",
    (2, 3, 3, 3) : "((2+3)+3)*3",
    (2, 3, 3, 6) : "((2*3)*3)+6",
    (2, 3, 3, 8) : "((2*3)-3)*8",
    (2, 3, 3, 9) : "((2+3)*3)+9",
    (2, 3, 3, 12) : "((2/3)*3)*12",
    (2, 3, 4, 4) : "4/((2/3)/4)",
    (2, 3, 4, 8) : "((2-3)+4)*8",
    (2, 3, 4, 9) : "((2/3)*4)*9",
    (2, 3, 4, 12) : "((2*3)-4)*12",
    (2, 3, 4, 5) : "(5-(2-3))*4",
    (2, 3, 5, 5) : "(2-3)+(5*5)",
    (2, 3, 5, 6) : "((2*3)*5)-6",
    (2, 3, 5, 13) : "((2*3)+5)+13",
    (2, 3, 6, 6) : "((2/3)*6)*6",
    (2, 3, 6, 12) : "((2*3)*6)-12",
    (2, 3, 6, 13) : "((2+3)+6)+13",
    (2, 3, 3, 7) : "(2*3)*(7-3)",
    (2, 3, 4, 7) : "((2-3)+7)*4",
    (2, 3, 7, 11) : "((2*3)+7)+11",
    (2, 3, 7, 12) : "(7-(2+3))*12",
    (2, 3, 8, 8) : "(8-(2+3))*8",
    (2, 3, 8, 10) : "((2*3)+8)+10",
    (2, 3, 8, 11) : "((2+3)+8)+11",
    (2, 3, 8, 12) : "(8/(2/3))+12",
    (2, 3, 5, 9) : "(2*3)*(9-5)",
    (2, 3, 6, 9) : "(9-(2+3))*6",
    (2, 3, 8, 9) : "(9-(2*3))*8",
    (2, 3, 9, 9) : "((2*3)+9)+9",
    (2, 3, 9, 10) : "((2+3)+9)+10",
    (2, 3, 6, 10) : "(10-(2*3))*6",
    (2, 3, 10, 12) : "12/((2+3)/10)",
    (2, 3, 10, 13) : "13-((2-3)-10)",
    (2, 2, 3, 11) : "(11-(2-3))*2",
    (2, 3, 4, 11) : "(11-(2+3))*4",
    (2, 3, 11, 12) : "12-((2-3)-11)",
    (2, 3, 11, 13) : "13-(11/(2-3))",
    (2, 3, 12, 12) : "12/((2*3)/12)",
    (2, 3, 12, 13) : "((2-3)+12)+13",
    (2, 2, 3, 13) : "((2-3)+13)*2",
    (2, 3, 3, 13) : "(13-(2+3))*3",
    (2, 3, 9, 13) : "(2*3)*(13-9)",
    (2, 2, 4, 4) : "((2*4)-2)*4",
    (2, 2, 4, 9) : "(2+4)+(2*9)",
    (2, 2, 4, 12) : "((2+4)*2)+12",
    (2, 2, 4, 13) : "(2-4)+(2*13)",
    (2, 3, 4, 6) : "((2+4)*3)+6",
    (2, 3, 4, 13) : "((2*4)+3)+13",
    (2, 4, 4, 4) : "(2*4)+(4*4)",
    (2, 4, 4, 6) : "((2*4)-4)*6",
    (2, 4, 4, 8) : "((2*4)*4)-8",
    (2, 4, 4, 12) : "((2/4)*4)*12",
    (2, 4, 5, 6) : "((2+4)*5)-6",
    (2, 4, 5, 8) : "((2*4)-5)*8",
    (2, 4, 5, 11) : "((2*4)+5)+11",
    (2, 4, 5, 13) : "((2+4)+5)+13",
    (2, 4, 6, 6) : "((2-4)+6)*6",
    (2, 4, 6, 8) : "((2/4)*6)*8",
    (2, 4, 6, 10) : "((2*4)+6)+10",
    (2, 4, 6, 12) : "(6/(2/4))+12",
    (2, 4, 4, 7) : "(2*4)*(7-4)",
    (2, 4, 7, 9) : "((2*4)+7)+9",
    (2, 4, 7, 10) : "(7/(2/4))+10",
    (2, 4, 7, 11) : "((2+4)+7)+11",
    (2, 4, 8, 8) : "(8/(2/4))+8",
    (2, 4, 8, 10) : "((2+4)+8)+10",
    (2, 4, 8, 12) : "(8-(2+4))*12",
    (2, 4, 5, 9) : "(2+4)*(9-5)",
    (2, 4, 6, 9) : "(9/(2/4))+6",
    (2, 4, 8, 9) : "(9-(2+4))*8",
    (2, 4, 9, 9) : "((2+4)+9)+9",
    (2, 4, 9, 13) : "13-((2-4)-9)",
    (2, 3, 4, 10) : "((2-4)+10)*3",
    (2, 4, 4, 10) : "(10/(2/4))+4",
    (2, 4, 10, 12) : "(10-(2*4))*12",
    (2, 2, 4, 11) : "(11/(2/4))+2",
    (2, 4, 8, 11) : "(11-(2*4))*8",
    (2, 4, 11, 11) : "11-((2-4)-11)",
    (2, 4, 9, 12) : "(2*4)*(12-9)",
    (2, 4, 12, 12) : "12/((2+4)/12)",
    (2, 4, 10, 13) : "(2*4)*(13-10)",
    (2, 4, 13, 13) : "((2-4)+13)+13",
    (2, 2, 2, 5) : "((2*5)+2)*2",
    (2, 2, 3, 5) : "((2*5)-2)*3",
    (2, 2, 5, 7) : "(2*5)+(2*7)",
    (2, 2, 5, 10) : "((2/5)+2)*10",
    (2, 2, 5, 12) : "((2*5)+2)+12",
    (2, 3, 3, 5) : "((2+5)*3)+3",
    (2, 3, 5, 11) : "((2*5)+3)+11",
    (2, 4, 4, 5) : "((2*5)-4)*4",
    (2, 4, 5, 10) : "((2*5)+4)+10",
    (2, 4, 5, 12) : "12-((2-5)*4)",
    (2, 2, 5, 5) : "((2+5)+5)*2",
    (2, 5, 5, 9) : "((2*5)+5)+9",
    (2, 5, 5, 11) : "((2+5)*5)-11",
    (2, 5, 5, 12) : "((2/5)*5)*12",
    (2, 5, 5, 13) : "(2-5)*(5-13)",
    (2, 5, 6, 6) : "((2*5)-6)*6",
    (2, 5, 6, 8) : "((2*5)+6)+8",
    (2, 5, 6, 9) : "(6/(2/5))+9",
    (2, 5, 6, 10) : "(2/5)*(6*10)",
    (2, 5, 6, 11) : "((2+5)+6)+11",
    (2, 3, 5, 7) : "3-((2-5)*7)",
    (2, 5, 6, 7) : "((2-5)+7)*6",
    (2, 5, 7, 7) : "((2*5)+7)+7",
    (2, 5, 7, 8) : "((2*5)-7)*8",
    (2, 5, 7, 10) : "((2+5)+7)+10",
    (2, 5, 8, 9) : "((2+5)+8)+9",
    (2, 5, 8, 12) : "((2*5)-8)*12",
    (2, 5, 8, 13) : "13-((2-5)-8)",
    (2, 2, 5, 9) : "(9-(2-5))*2",
    (2, 5, 9, 12) : "12-((2-5)-9)",
    (1, 2, 5, 10) : "(10/(2/5))-1",
    (2, 5, 8, 10) : "(10-(2+5))*8",
    (2, 5, 10, 11) : "11-((2-5)-10)",
    (2, 5, 6, 12) : "(12/(2/5))-6",
    (2, 5, 12, 12) : "(12-(2*5))*12",
    (1, 2, 6, 13) : "13-(1-(2*6))",
    (2, 2, 6, 6) : "(2*6)+(2*6)",
    (2, 2, 6, 10) : "((2*6)+2)+10",
    (2, 4, 6, 7) : "(2-6)+(4*7)",
    (2, 6, 6, 6) : "(6/(2/6))+6",
    (2, 6, 6, 10) : "((2+6)+6)+10",
    (2, 6, 6, 12) : "((2/6)*6)*12",
    (2, 3, 6, 7) : "(7/(2/6))+3",
    (2, 6, 7, 8) : "((2-6)+7)*8",
    (2, 6, 7, 9) : "((2+6)+7)+9",
    (2, 6, 7, 13) : "(2-6)*(7-13)",
    (2, 6, 6, 8) : "((2*6)-8)*6",
    (2, 6, 8, 8) : "((2+6)+8)+8",
    (2, 6, 8, 9) : "((2/6)*8)*9",
    (2, 6, 8, 12) : "12-((2-6)-8)",
    (2, 6, 6, 9) : "(2+6)*(9-6)",
    (2, 6, 9, 11) : "11-((2-6)-9)",
    (2, 6, 7, 10) : "(2+6)*(10-7)",
    (2, 6, 8, 10) : "(2*6)*(10-8)",
    (2, 6, 10, 10) : "10-((2-6)-10)",
    (2, 6, 10, 12) : "((2*6)-10)*12",
    (2, 6, 8, 11) : "(11-(2+6))*8",
    (2, 6, 9, 12) : "(2+6)*(12-9)",
    (2, 6, 12, 12) : "(12/(2/6))-12",
    (2, 6, 10, 13) : "(2+6)*(13-10)",
    (2, 6, 11, 13) : "(2*6)*(13-11)",
    (1, 2, 7, 11) : "11-(1-(2*7))",
    (2, 2, 2, 7) : "((2*7)-2)*2",
    (2, 2, 6, 7) : "((2+7)*2)+6",
    (2, 2, 7, 12) : "12-(2-(2*7))",
    (2, 3, 7, 7) : "((2*7)+3)+7",
    (2, 3, 7, 8) : "8/(3/(2+7))",
    (2, 3, 7, 9) : "9-((2-7)*3)",
    (2, 3, 7, 13) : "13-(3-(2*7))",
    (2, 4, 7, 12) : "((2+7)*4)-12",
    (2, 5, 5, 7) : "((2*7)+5)+5",
    (2, 2, 7, 7) : "(7-(2-7))*2",
    (2, 7, 7, 8) : "((2+7)+7)+8",
    (2, 7, 7, 12) : "((2/7)*7)*12",
    (2, 4, 7, 8) : "(8/(2/7))-4",
    (2, 7, 8, 8) : "((2-7)+8)*8",
    (2, 7, 8, 11) : "11-((2-7)-8)",
    (2, 7, 9, 10) : "10-((2-7)-9)",
    (2, 7, 10, 11) : "(10/(2/7))-11",
    (2, 7, 11, 12) : "(11-(2+7))*12",
    (2, 7, 8, 12) : "(12-(2+7))*8",
    (2, 7, 12, 12) : "((2*7)-12)*12",
    (2, 2, 8, 10) : "10-(2-(2*8))",
    (2, 3, 5, 8) : "((2*8)+3)+5",
    (2, 3, 6, 8) : "6-((2-8)*3)",
    (2, 8, 8, 8) : "(8/(2/8))-8",
    (2, 8, 8, 10) : "10-((2-8)-8)",
    (2, 8, 8, 12) : "((2/8)*8)*12",
    (2, 8, 8, 9) : "((2-8)+9)*8",
    (2, 8, 9, 9) : "9-((2-8)-9)",
    (2, 8, 9, 12) : "(9/(2/8))-12",
    (2, 8, 9, 13) : "(2-8)*(9-13)",
    (2, 8, 12, 12) : "(12-(2+8))*12",
    (2, 8, 8, 13) : "((2*8)-13)*8",
    (2, 2, 2, 9) : "((2+9)*2)+2",
    (2, 2, 8, 9) : "8-(2-(2*9))",
    (2, 2, 9, 10) : "10-((2-9)*2)",
    (2, 4, 9, 10) : "10-(4-(2*9))",
    (2, 5, 9, 11) : "11-(5-(2*9))",
    (2, 2, 6, 9) : "((2*9)-6)*2",
    (2, 7, 9, 13) : "13-(7-(2*9))",
    (2, 9, 9, 12) : "((2/9)*9)*12",
    (2, 8, 9, 10) : "((2-9)+10)*8",
    (2, 9, 12, 13) : "(13-(2+9))*12",
    (2, 3, 7, 10) : "7-(3-(2*10))",
    (2, 3, 5, 10) : "(2+10)*(5-3)",
    (2, 5, 5, 10) : "(5-(2/10))*5",
    (2, 5, 9, 10) : "9-(5-(2*10))",
    (2, 5, 10, 10) : "10/(5/(2+10))",
    (2, 6, 9, 10) : "(2-10)*(6-9)",
    (2, 7, 10, 10) : "(2-10)*(7-10)",
    (2, 8, 10, 11) : "(2-10)*(8-11)",
    (2, 8, 10, 12) : "12-(8-(2*10))",
    (2, 9, 10, 12) : "(2-10)*(9-12)",
    (2, 9, 10, 13) : "13-(9-(2*10))",
    (2, 8, 10, 10) : "(2+10)*(10-8)",
    (2, 10, 10, 12) : "((2/10)*10)*12",
    (2, 10, 10, 13) : "(2-10)*(10-13)",
    (2, 9, 10, 11) : "(2+10)*(11-9)",
    (2, 10, 11, 13) : "(2+10)*(13-11)",
    (2, 2, 6, 11) : "6-((2-11)*2)",
    (2, 2, 11, 11) : "((2/11)+2)*11",
    (2, 3, 11, 11) : "(2-11)+(3*11)",
    (2, 4, 6, 11) : "6-(4-(2*11))",
    (2, 5, 7, 11) : "7-(5-(2*11))",
    (2, 3, 6, 11) : "(2*11)+(6/3)",
    (2, 7, 9, 11) : "9-(7-(2*11))",
    (2, 9, 11, 11) : "11-(9-(2*11))",
    (2, 2, 10, 11) : "((2*11)-10)*2",
    (2, 10, 11, 12) : "12-(10-(2*11))",
    (2, 11, 11, 12) : "((2/11)*11)*12",
    (2, 11, 11, 13) : "13-(11-(2*11))",
    (2, 6, 11, 12) : "(2*11)+(12/6)",
    (2, 8, 11, 12) : "((2-11)+12)*8",
    (2, 6, 7, 12) : "(2*12)/(7-6)",
    (2, 11, 12, 12) : "(2*12)/(12-11)",
    (2, 12, 12, 12) : "((2/12)*12)*12",
    (2, 8, 12, 13) : "((2-12)+13)*8",
    (2, 12, 12, 13) : "(2*12)/(13-12)",
    (2, 12, 13, 13) : "13/(13/(2*12))",
    (2, 2, 6, 13) : "((2+13)*2)-6",
    (2, 2, 13, 13) : "(2-(2/13))*13",
    (2, 4, 6, 13) : "(2*13)+(4-6)",
    (2, 5, 7, 13) : "(2*13)+(5-7)",
    (2, 6, 8, 13) : "(2*13)+(6-8)",
    (2, 4, 8, 13) : "(2*13)-(8/4)",
    (2, 8, 10, 13) : "(2*13)+(8-10)",
    (2, 9, 11, 13) : "(2*13)+(9-11)",
    (2, 5, 10, 13) : "(2*13)-(10/5)",
    (2, 10, 12, 13) : "(2*13)+(10-12)",
    (2, 11, 13, 13) : "(2*13)+(11-13)",
    (2, 6, 12, 13) : "(2*13)-(12/6)",
    (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, 8) : "8/((3/3)/3)",
    (3, 3, 3, 12) : "(3-(3/3))*12",
    (3, 3, 4, 6) : "6/((3/3)/4)",
    (3, 3, 4, 8) : "(4-(3/3))*8",
    (3, 3, 4, 11) : "((3*3)+4)+11",
    (3, 3, 4, 12) : "((3*3)*4)-12",
    (3, 3, 4, 5) : "((3/3)+5)*4",
    (3, 3, 5, 6) : "(5-(3/3))*6",
    (3, 3, 5, 10) : "((3*3)+5)+10",
    (3, 3, 5, 13) : "((3+3)+5)+13",
    (3, 3, 6, 8) : "((3*3)-6)*8",
    (3, 3, 6, 9) : "((3*3)+6)+9",
    (3, 3, 6, 12) : "((3+3)*6)-12",
    (3, 3, 3, 7) : "((3/3)+7)*3",
    (3, 3, 4, 7) : "(7-(3/3))*4",
    (3, 3, 7, 8) : "((3*3)+7)+8",
    (3, 3, 7, 11) : "((3+3)+7)+11",
    (3, 3, 7, 12) : "((3*3)-7)*12",
    (3, 3, 8, 10) : "((3+3)+8)+10",
    (3, 3, 8, 12) : "(8-(3+3))*12",
    (3, 3, 3, 9) : "(9-(3/3))*3",
    (3, 3, 5, 9) : "(3+3)*(9-5)",
    (3, 3, 8, 9) : "(9-(3+3))*8",
    (3, 3, 9, 9) : "((3+3)+9)+9",
    (3, 3, 6, 10) : "(10-(3+3))*6",
    (3, 3, 10, 13) : "((3/3)+10)+13",
    (2, 3, 3, 11) : "((3/3)+11)*2",
    (3, 3, 11, 12) : "((3/3)+11)+12",
    (3, 3, 11, 13) : "(11/(3/3))+13",
    (3, 3, 12, 12) : "(12/(3/3))+12",
    (3, 3, 12, 13) : "13-((3/3)-12)",
    (3, 3, 6, 13) : "(13-(3*3))*6",
    (3, 3, 9, 13) : "(3+3)*(13-9)",
    (1, 3, 4, 6) : "6/(1-(3/4))",
    (3, 3, 4, 4) : "(3*4)+(3*4)",
    (3, 3, 4, 9) : "((3*4)+3)+9",
    (3, 4, 4, 4) : "((3+4)*4)-4",
    (3, 4, 4, 8) : "((3/4)*4)*8",
    (3, 4, 4, 13) : "((3+4)+4)+13",
    (3, 4, 4, 5) : "(5-(3-4))*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, 10) : "10/(5/(3*4))",
    (3, 4, 5, 11) : "((3+4)*5)-11",
    (3, 4, 5, 12) : "((3+4)-5)*12",
    (3, 4, 4, 6) : "((3*4)-6)*4",
    (3, 4, 6, 6) : "((3*4)+6)+6",
    (3, 4, 6, 11) : "((3+4)+6)+11",
    (3, 4, 6, 12) : "12/(6/(3*4))",
    (3, 4, 4, 7) : "((3-4)+7)*4",
    (3, 4, 7, 10) : "((3+4)+7)+10",
    (3, 4, 6, 8) : "((3*4)-8)*6",
    (3, 4, 8, 9) : "((3+4)+8)+9",
    (3, 4, 7, 9) : "(3*4)*(9-7)",
    (3, 4, 9, 12) : "(9/(3/4))+12",
    (3, 4, 8, 10) : "(3*4)*(10-8)",
    (3, 4, 10, 12) : "((3*4)-10)*12",
    (3, 4, 10, 13) : "13-((3-4)-10)",
    (3, 4, 9, 11) : "(3*4)*(11-9)",
    (3, 4, 11, 12) : "12-((3-4)-11)",
    (3, 4, 11, 13) : "13-(11/(3-4))",
    (3, 4, 8, 12) : "(12/(3/4))+8",
    (3, 4, 12, 12) : "12-(12/(3-4))",
    (3, 4, 12, 13) : "((3-4)+12)+13",
    (1, 3, 5, 10) : "10-(1-(3*5))",
    (3, 3, 5, 12) : "12-(3-(3*5))",
    (3, 4, 5, 8) : "((3+5)*4)-8",
    (3, 4, 5, 13) : "13-(4-(3*5))",
    (3, 5, 5, 8) : "((3/5)*5)*8",
    (3, 5, 5, 11) : "((3+5)+5)+11",
    (3, 5, 6, 6) : "((3-5)+6)*6",
    (3, 5, 6, 10) : "((3+5)+6)+10",
    (3, 5, 6, 12) : "12-((3-5)*6)",
    (3, 3, 5, 7) : "((3*5)-7)*3",
    (3, 5, 7, 9) : "((3+5)+7)+9",
    (3, 5, 7, 10) : "10-((3-5)*7)",
    (3, 5, 8, 8) : "8-((3-5)*8)",
    (3, 4, 5, 9) : "((3*5)-9)*4",
    (3, 5, 6, 9) : "6-((3-5)*9)",
    (3, 5, 9, 9) : "(9/(3/5))+9",
    (3, 5, 9, 13) : "13-((3-5)-9)",
    (3, 5, 10, 12) : "12-((3-5)-10)",
    (3, 5, 6, 11) : "((3*5)-11)*6",
    (3, 5, 8, 11) : "(11-(3+5))*8",
    (3, 5, 11, 11) : "11-((3-5)-11)",
    (3, 5, 8, 12) : "((3*5)-12)*8",
    (3, 5, 9, 12) : "(3+5)*(12-9)",
    (3, 5, 10, 13) : "(3+5)*(13-10)",
    (3, 5, 12, 13) : "((3*5)-13)*12",
    (3, 5, 13, 13) : "((3-5)+13)+13",
    (3, 3, 6, 11) : "(3-6)*(3-11)",
    (3, 4, 6, 10) : "10-(4-(3*6))",
    (3, 5, 6, 13) : "(3-6)*(5-13)",
    (3, 6, 6, 6) : "6-((3-6)*6)",
    (3, 6, 6, 8) : "((3/6)*6)*8",
    (3, 6, 6, 9) : "((3+6)+6)+9",
    (3, 6, 6, 12) : "(6/(3/6))+12",
    (3, 3, 6, 7) : "3-((3-6)*7)",
    (3, 6, 6, 7) : "((3-6)+7)*6",
    (3, 6, 7, 8) : "((3+6)+7)+8",
    (3, 6, 7, 10) : "(7/(3/6))+10",
    (3, 6, 7, 12) : "((3+6)-7)*12",
    (3, 6, 7, 13) : "13-(7-(3*6))",
    (3, 6, 8, 8) : "(8/(3/6))+8",
    (3, 6, 8, 13) : "13-((3-6)-8)",
    (3, 4, 6, 9) : "((3-6)+9)*4",
    (3, 6, 9, 12) : "12/(9/(3*6))",
    (3, 6, 10, 11) : "11-((3-6)-10)",
    (3, 6, 11, 12) : "(11-(3+6))*12",
    (3, 6, 8, 12) : "(12-(3+6))*8",
    (3, 6, 6, 13) : "(13-(3+6))*6",
    (3, 3, 7, 7) : "((3/7)+3)*7",
    (3, 3, 7, 9) : "(3-7)*(3-9)",
    (3, 4, 7, 7) : "7-(4-(3*7))",
    (3, 4, 7, 8) : "8-((3-7)*4)",
    (3, 5, 7, 8) : "8-(5-(3*7))",
    (3, 5, 7, 11) : "(3-7)*(5-11)",
    (3, 5, 7, 12) : "12/(5/(3+7))",
    (3, 6, 7, 9) : "9-(6-(3*7))",
    (3, 7, 7, 7) : "((3+7)+7)+7",
    (3, 7, 7, 8) : "((3/7)*7)*8",
    (3, 7, 7, 10) : "10-(7-(3*7))",
    (3, 7, 7, 13) : "(3-7)*(7-13)",
    (3, 7, 8, 11) : "11-(8-(3*7))",
    (3, 7, 8, 12) : "12-((3-7)-8)",
    (3, 7, 9, 11) : "11-((3-7)-9)",
    (3, 7, 9, 12) : "12-(9-(3*7))",
    (3, 7, 10, 10) : "10-((3-7)-10)",
    (3, 7, 10, 13) : "13-(10-(3*7))",
    (3, 4, 7, 12) : "(12/(3/7))-4",
    (3, 7, 12, 12) : "(12-(3+7))*12",
    (3, 3, 7, 13) : "((3*7)-13)*3",
    (3, 7, 8, 13) : "(13-(3+7))*8",
    (3, 5, 6, 8) : "(3*8)/(6-5)",
    (3, 7, 8, 8) : "(3*8)/(8-7)",
    (3, 8, 8, 8) : "((3/8)*8)*8",
    (3, 8, 8, 11) : "11-((3-8)-8)",
    (3, 6, 8, 9) : "((3-8)+9)*6",
    (3, 8, 8, 9) : "(3*8)/(9-8)",
    (3, 8, 9, 9) : "9/(9/(3*8))",
    (3, 8, 9, 10) : "10-((3-8)-9)",
    (3, 8, 9, 12) : "((3+8)-9)*12",
    (3, 8, 10, 10) : "10/(10/(3*8))",
    (3, 4, 8, 11) : "((3-8)+11)*4",
    (3, 8, 10, 11) : "(3*8)/(11-10)",
    (3, 8, 11, 11) : "11/(11/(3*8))",
    (3, 8, 8, 12) : "(12/(3/8))-8",
    (3, 8, 11, 12) : "(3*8)/(12-11)",
    (3, 8, 12, 12) : "12/(12/(3*8))",
    (3, 3, 8, 13) : "((3-8)+13)*3",
    (3, 8, 12, 13) : "(3*8)/(13-12)",
    (3, 8, 13, 13) : "13/(13/(3*8))",
    (2, 3, 9, 12) : "12-((3-9)*2)",
    (3, 3, 9, 10) : "(3-9)+(3*10)",
    (3, 3, 9, 12) : "((3+9)*3)-12",
    (3, 5, 8, 9) : "(3*9)+(5-8)",
    (3, 5, 9, 10) : "10/(5/(3+9))",
    (3, 6, 9, 9) : "(3*9)+(6-9)",
    (3, 6, 9, 10) : "(3-9)*(6-10)",
    (3, 7, 9, 10) : "(3*9)+(7-10)",
    (3, 8, 9, 11) : "(3*9)+(8-11)",
    (3, 7, 9, 9) : "(3+9)*(9-7)",
    (3, 9, 9, 9) : "9-((3-9)-9)",
    (3, 9, 9, 12) : "(3*9)+(9-12)",
    (3, 9, 9, 13) : "(3-9)*(9-13)",
    (3, 9, 10, 12) : "((3+9)-10)*12",
    (3, 9, 10, 13) : "(3*9)+(10-13)",
    (3, 9, 9, 11) : "(11/(3/9))-9",
    (3, 9, 12, 12) : "(12/(3/9))-12",
    (3, 9, 11, 13) : "(3+9)*(13-11)",
    (2, 2, 3, 10) : "((3+10)*2)-2",
    (2, 3, 3, 10) : "(3*10)-(2*3)",
    (2, 3, 10, 10) : "10-((3-10)*2)",
    (3, 3, 3, 10) : "((3*10)-3)-3",
    (3, 4, 10, 10) : "(3*10)+(4-10)",
    (3, 5, 10, 11) : "(3*10)+(5-11)",
    (3, 6, 10, 12) : "(3*10)+(6-12)",
    (3, 10, 11, 12) : "((3+10)-11)*12",
    (1, 3, 8, 11) : "((3*11)-1)-8",
    (3, 3, 3, 11) : "(3*11)-(3*3)",
    (3, 4, 7, 11) : "(3-11)*(4-7)",
    (3, 6, 9, 11) : "(3-11)*(6-9)",
    (3, 7, 10, 11) : "(3-11)*(7-10)",
    (3, 7, 11, 12) : "12/(7/(3+11))",
    (3, 9, 11, 12) : "(3-11)*(9-12)",
    (3, 10, 11, 13) : "(3-11)*(10-13)",
    (3, 11, 12, 12) : "((3+11)-12)*12",
    (3, 6, 12, 13) : "((3-12)+13)*6",
    (3, 12, 12, 13) : "((3+12)-13)*12",
    (2, 3, 8, 13) : "((3+13)*2)-8",
    (2, 3, 13, 13) : "((3*13)-2)-13",
    (3, 4, 6, 13) : "6/(4/(3+13))",
    (3, 6, 9, 13) : "((3*13)-6)-9",
    (1, 4, 6, 10) : "((4-1)*10)-6",
    (1, 4, 12, 12) : "((4-1)*12)-12",
    (2, 4, 5, 7) : "(4/2)*(5+7)",
    (3, 4, 9, 9) : "(4/3)*(9+9)",
    (3, 4, 4, 9) : "9/(3/(4+4))",
    (3, 4, 4, 11) : "11-(3-(4*4))",
    (3, 4, 4, 12) : "(3-(4/4))*12",
    (4, 4, 4, 4) : "((4*4)+4)+4",
    (4, 4, 4, 6) : "6/((4/4)/4)",
    (4, 4, 4, 8) : "(4-(4/4))*8",
    (4, 4, 4, 12) : "12-(4-(4*4))",
    (4, 4, 4, 5) : "((4/4)+5)*4",
    (4, 4, 5, 6) : "(5-(4/4))*6",
    (4, 4, 5, 8) : "((4+4)-5)*8",
    (4, 4, 5, 11) : "((4+4)+5)+11",
    (4, 4, 5, 13) : "13-(5-(4*4))",
    (4, 4, 6, 9) : "9/(6/(4*4))",
    (4, 4, 6, 10) : "((4+4)+6)+10",
    (4, 4, 6, 12) : "((4+4)-6)*12",
    (4, 4, 4, 7) : "(7-(4/4))*4",
    (4, 4, 7, 9) : "((4+4)+7)+9",
    (4, 4, 8, 8) : "((4+4)+8)+8",
    (4, 4, 8, 12) : "12/(8/(4*4))",
    (4, 4, 4, 10) : "((4*4)-10)*4",
    (4, 4, 7, 10) : "(4+4)*(10-7)",
    (4, 4, 10, 12) : "(10-(4+4))*12",
    (4, 4, 10, 13) : "((4/4)+10)+13",
    (2, 4, 4, 11) : "((4/4)+11)*2",
    (4, 4, 8, 11) : "(11-(4+4))*8",
    (4, 4, 11, 12) : "((4/4)+11)+12",
    (4, 4, 11, 13) : "(11/(4/4))+13",
    (4, 4, 9, 12) : "(4+4)*(12-9)",
    (4, 4, 12, 12) : "(12/(4/4))+12",
    (4, 4, 12, 13) : "13-((4/4)-12)",
    (2, 4, 4, 13) : "(13-(4/4))*2",
    (4, 4, 8, 13) : "((4*4)-13)*8",
    (4, 4, 5, 5) : "((4/5)+4)*5",
    (4, 4, 5, 12) : "((4+5)*4)-12",
    (4, 5, 5, 5) : "(4-5)+(5*5)",
    (4, 5, 5, 6) : "((4/5)*5)*6",
    (4, 5, 5, 9) : "9-(5-(4*5))",
    (4, 5, 5, 10) : "((4+5)+5)+10",
    (4, 5, 6, 8) : "((4+5)-6)*8",
    (4, 5, 6, 9) : "((4+5)+6)+9",
    (4, 5, 6, 10) : "10-(6-(4*5))",
    (4, 4, 5, 7) : "((4-5)+7)*4",
    (4, 5, 7, 8) : "((4+5)+7)+8",
    (4, 5, 7, 11) : "11-(7-(4*5))",
    (4, 5, 7, 12) : "((4+5)-7)*12",
    (4, 5, 8, 12) : "12-(8-(4*5))",
    (4, 5, 9, 13) : "13-(9-(4*5))",
    (4, 5, 10, 12) : "12/(10/(4*5))",
    (4, 5, 10, 13) : "13-((4-5)-10)",
    (4, 5, 11, 12) : "12-((4-5)-11)",
    (4, 5, 11, 13) : "13-(11/(4-5))",
    (4, 5, 9, 12) : "(12/(4/5))+9",
    (4, 5, 12, 12) : "12-(12/(4-5))",
    (4, 5, 12, 13) : "((4-5)+12)+13",
    (4, 5, 6, 13) : "(13-(4+5))*6",
    (4, 5, 6, 12) : "12/(5/(4+6))",
    (4, 5, 6, 6) : "(4*6)/(6-5)",
    (4, 6, 6, 6) : "((4/6)*6)*6",
    (4, 6, 6, 8) : "((4+6)+6)+8",
    (4, 6, 6, 12) : "12-((4-6)*6)",
    (4, 6, 6, 7) : "(4*6)/(7-6)",
    (4, 6, 7, 7) : "7/(7/(4*6))",
    (4, 6, 7, 8) : "((4+6)-7)*8",
    (4, 6, 7, 10) : "10-((4-6)*7)",
    (4, 4, 6, 8) : "((4-6)+8)*4",
    (4, 6, 8, 8) : "8/(8/(4*6))",
    (4, 6, 8, 12) : "(8/(4/6))+12",
    (4, 6, 6, 9) : "6-((4-6)*9)",
    (4, 6, 8, 9) : "(4*6)/(9-8)",
    (4, 6, 9, 9) : "9/(9/(4*6))",
    (4, 6, 9, 13) : "13-((4-6)-9)",
    (4, 6, 9, 10) : "(10/(4/6))+9",
    (4, 6, 10, 10) : "10/(10/(4*6))",
    (4, 6, 10, 12) : "12-((4-6)-10)",
    (4, 6, 10, 11) : "(4*6)/(11-10)",
    (4, 6, 11, 11) : "11/(11/(4*6))",
    (4, 6, 11, 12) : "(4*6)/(12-11)",
    (4, 6, 12, 12) : "12/(12/(4*6))",
    (4, 6, 8, 13) : "(13-(4+6))*8",
    (4, 6, 12, 13) : "(4*6)/(13-12)",
    (4, 6, 13, 13) : "13/(13/(4*6))",
    (4, 4, 7, 7) : "(4-(4/7))*7",
    (4, 4, 7, 8) : "(4*7)+(4-8)",
    (4, 4, 7, 12) : "12-((4-7)*4)",
    (4, 5, 7, 9) : "(4*7)+(5-9)",
    (4, 5, 7, 13) : "(4-7)*(5-13)",
    (4, 7, 7, 11) : "(4*7)+(7-11)",
    (4, 7, 8, 8) : "((4+7)-8)*8",
    (4, 7, 8, 10) : "(8/(4/7))+10",
    (4, 7, 8, 12) : "(4*7)+(8-12)",
    (4, 7, 8, 13) : "13-((4-7)-8)",
    (4, 7, 9, 12) : "12-((4-7)-9)",
    (4, 7, 9, 13) : "(4*7)+(9-13)",
    (4, 7, 10, 11) : "11-((4-7)-10)",
    (4, 7, 12, 13) : "(13-(4+7))*12",
    (4, 4, 8, 10) : "(4-8)*(4-10)",
    (4, 5, 8, 10) : "10/(5/(4+8))",
    (4, 5, 8, 11) : "(4-8)*(5-11)",
    (4, 5, 8, 13) : "(4*8)+(5-13)",
    (4, 8, 8, 8) : "(8/(4/8))+8",
    (4, 8, 8, 12) : "12-((4-8)-8)",
    (4, 7, 8, 9) : "(4+8)*(9-7)",
    (4, 8, 8, 9) : "((4+8)-9)*8",
    (4, 8, 9, 11) : "11-((4-8)-9)",
    (4, 8, 9, 12) : "(4*8)*(9/12)",
    (4, 8, 8, 10) : "(4+8)*(10-8)",
    (4, 8, 10, 10) : "10-((4-8)-10)",
    (4, 8, 10, 12) : "((4+8)-10)*12",
    (4, 8, 11, 13) : "(4+8)*(13-11)",
    (4, 4, 4, 9) : "4-((4-9)*4)",
    (4, 4, 8, 9) : "((4*9)-4)-8",
    (4, 9, 9, 10) : "10-((4-9)-9)",
    (4, 8, 9, 10) : "((4+9)-10)*8",
    (4, 4, 9, 11) : "((4-9)+11)*4",
    (4, 9, 11, 12) : "((4+9)-11)*12",
    (3, 4, 9, 13) : "((4-9)+13)*3",
    (2, 4, 10, 10) : "((4/10)+2)*10",
    (4, 5, 9, 10) : "(4-10)*(5-9)",
    (4, 5, 10, 11) : "((4*10)-5)-11",
    (4, 7, 9, 10) : "((4*10)-7)-9",
    (4, 7, 10, 12) : "12/(7/(4+10))",
    (4, 9, 10, 13) : "(4-10)*(9-13)",
    (4, 8, 10, 11) : "((4+10)-11)*8",
    (4, 10, 12, 12) : "((4+10)-12)*12",
    (2, 4, 10, 11) : "(4*11)-(2*10)",
    (4, 7, 11, 13) : "((4*11)-7)-13",
    (4, 8, 11, 12) : "((4*11)-8)-12",
    (4, 9, 11, 11) : "((4*11)-9)-11",
    (4, 10, 10, 11) : "((4*11)-10)-10",
    (4, 11, 12, 13) : "((4+11)-13)*12",
    (4, 6, 9, 12) : "(4-12)*(6-9)",
    (4, 8, 12, 12) : "12/(8/(4+12))",
    (4, 9, 12, 12) : "(4-12)*(9-12)",
    (4, 10, 12, 13) : "(4-12)*(10-13)",
    (4, 12, 12, 12) : "(12/(4/12))-12",
    (4, 8, 12, 13) : "((4+12)-13)*8",
    (4, 4, 7, 13) : "(4*13)-(4*7)",
    (2, 3, 5, 12) : "12/(3-(5/2))",
    (3, 5, 5, 7) : "(5-3)*(5+7)",
    (1, 4, 5, 6) : "6/((5/4)-1)",
    (1, 5, 5, 12) : "((5/5)+1)*12",
    (2, 4, 5, 5) : "((5+5)*2)+4",
    (2, 5, 5, 8) : "((5/5)+2)*8",
    (3, 3, 5, 5) : "(5*5)-(3/3)",
    (3, 5, 5, 6) : "((5/5)+3)*6",
    (3, 5, 5, 12) : "(3-(5/5))*12",
    (4, 5, 5, 8) : "(4-(5/5))*8",
    (5, 5, 5, 5) : "(5*5)-(5/5)",
    (5, 5, 5, 6) : "(5-(5/5))*6",
    (5, 5, 5, 9) : "((5+5)+5)+9",
    (5, 5, 5, 12) : "12/(5/(5+5))",
    (5, 5, 6, 6) : "(5*5)-(6/6)",
    (5, 5, 6, 7) : "(5*5)+(6-7)",
    (5, 5, 6, 8) : "((5+5)+6)+8",
    (4, 5, 5, 7) : "(7-(5/5))*4",
    (5, 5, 7, 7) : "(5*5)-(7/7)",
    (5, 5, 7, 8) : "(5*5)+(7-8)",
    (5, 5, 8, 8) : "(5*5)-(8/8)",
    (5, 5, 8, 9) : "(5*5)+(8-9)",
    (5, 5, 8, 12) : "((5+5)-8)*12",
    (3, 5, 5, 9) : "(9-(5/5))*3",
    (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, 5, 10, 11) : "(5*5)+(10-11)",
    (5, 5, 10, 13) : "((5/5)+10)+13",
    (5, 5, 11, 11) : "(5*5)-(11/11)",
    (5, 5, 11, 12) : "((5/5)+11)+12",
    (5, 5, 11, 13) : "(11/(5/5))+13",
    (5, 5, 12, 12) : "(12/(5/5))+12",
    (5, 5, 12, 13) : "13-((5/5)-12)",
    (5, 5, 8, 13) : "(13-(5+5))*8",
    (5, 5, 13, 13) : "(5*5)-(13/13)",
    (5, 5, 6, 11) : "(5*6)+(5-11)",
    (5, 6, 6, 7) : "((5+6)+6)+7",
    (5, 6, 6, 12) : "(5*6)+(6-12)",
    (3, 5, 6, 7) : "(7-(5-6))*3",
    (4, 5, 6, 7) : "((5-6)+7)*4",
    (5, 6, 7, 13) : "(5*6)+(7-13)",
    (5, 6, 8, 8) : "((5+6)-8)*8",
    (5, 6, 8, 10) : "(5*6)*(8/10)",
    (5, 6, 9, 12) : "((5+6)-9)*12",
    (5, 6, 10, 12) : "(10/(5/6))+12",
    (5, 6, 10, 13) : "13-((5-6)-10)",
    (5, 6, 11, 12) : "12-((5-6)-11)",
    (5, 6, 11, 13) : "13-(11/(5-6))",
    (5, 6, 12, 12) : "12-(12/(5-6))",
    (5, 6, 12, 13) : "((5-6)+12)+13",
    (2, 5, 6, 13) : "((5-6)+13)*2",
    (1, 5, 7, 10) : "((5*7)-1)-10",
    (2, 5, 7, 9) : "((5*7)-2)-9",
    (4, 5, 7, 7) : "((5*7)-4)-7",
    (5, 5, 7, 10) : "10/(5/(5+7))",
    (5, 6, 7, 12) : "12-((5-7)*6)",
    (5, 7, 7, 10) : "10-((5-7)*7)",
    (5, 6, 7, 8) : "((5+7)-8)*6",
    (5, 7, 8, 8) : "8-((5-7)*8)",
    (5, 6, 7, 9) : "6-((5-7)*9)",
    (5, 7, 7, 9) : "(5+7)*(9-7)",
    (5, 7, 8, 9) : "((5+7)-9)*8",
    (5, 7, 9, 13) : "13-((5-7)-9)",
    (4, 5, 7, 10) : "4-((5-7)*10)",
    (5, 7, 8, 10) : "(5+7)*(10-8)",
    (5, 7, 10, 10) : "(10/(5/7))+10",
    (5, 7, 10, 12) : "12-((5-7)-10)",
    (5, 7, 9, 11) : "(5+7)*(11-9)",
    (5, 7, 11, 11) : "11-((5-7)-11)",
    (5, 7, 11, 13) : "(5+7)*(13-11)",
    (5, 7, 13, 13) : "((5-7)+13)+13",
    (2, 2, 5, 8) : "((5+8)*2)-2",
    (2, 5, 8, 8) : "(5*8)-(2*8)",
    (3, 5, 8, 13) : "((5*8)-3)-13",
    (5, 5, 8, 11) : "((5*8)-5)-11",
    (5, 6, 6, 8) : "6-((5-8)*6)",
    (5, 8, 8, 8) : "((5*8)-8)-8",
    (5, 8, 8, 13) : "13-((5-8)-8)",
    (4, 5, 8, 9) : "((5-8)+9)*4",
    (5, 6, 8, 9) : "((5+8)-9)*6",
    (5, 8, 9, 12) : "12-((5-8)-9)",
    (5, 8, 8, 10) : "(10/(5/8))+8",
    (5, 8, 10, 11) : "11-((5-8)-10)",
    (5, 8, 11, 12) : "((5+8)-11)*12",
    (5, 5, 9, 11) : "(5-9)*(5-11)",
    (5, 7, 9, 12) : "12/(7/(5+9))",
    (5, 8, 9, 13) : "((5*9)-8)-13",
    (5, 9, 9, 11) : "11-((5-9)-9)",
    (5, 9, 9, 12) : "((5*9)-9)-12",
    (5, 6, 9, 10) : "(10/(5/9))+6",
    (5, 9, 10, 10) : "10-((5-9)-10)",
    (5, 9, 10, 11) : "((5*9)-10)-11",
    (5, 8, 9, 11) : "((5+9)-11)*8",
    (5, 9, 12, 12) : "((5+9)-12)*12",
    (4, 4, 5, 10) : "4-((5-10)*4)",
    (5, 5, 8, 10) : "8/(5/(5+10))",
    (4, 5, 10, 10) : "(10/(5/10))+4",
    (5, 6, 10, 11) : "((5+10)-11)*6",
    (5, 8, 10, 12) : "((5+10)-12)*8",
    (5, 10, 12, 13) : "((5+10)-13)*12",
    (5, 10, 13, 13) : "((5*10)-13)-13",
    (2, 5, 8, 11) : "((5+11)*2)-8",
    (2, 5, 11, 12) : "12-((5-11)*2)",
    (4, 5, 6, 11) : "6/(4/(5+11))",
    (5, 6, 9, 11) : "9/(6/(5+11))",
    (5, 9, 11, 13) : "(5-11)*(9-13)",
    (5, 8, 11, 13) : "((5+11)-13)*8",
    (2, 5, 10, 12) : "10-((5-12)*2)",
    (3, 5, 12, 12) : "(5*12)-(3*12)",
    (2, 5, 12, 13) : "((5+13)*2)-12",
    (5, 6, 8, 13) : "8/(6/(5+13))",
    (5, 6, 9, 13) : "(5-13)*(6-9)",
    (3, 5, 7, 13) : "((5*13)+7)/3",
    (5, 7, 10, 13) : "(5-13)*(7-10)",
    (5, 9, 12, 13) : "(5-13)*(9-12)",
    (1, 6, 6, 6) : "((6-1)*6)-6",
    (1, 6, 10, 12) : "12/((6-1)/10)",
    (2, 6, 6, 7) : "(7-(6/2))*6",
    (2, 6, 10, 11) : "((6/2)+10)+11",
    (3, 3, 6, 6) : "((6/3)+6)*3",
    (3, 6, 6, 10) : "((6-3)*10)-6",
    (3, 6, 11, 11) : "((6/3)+11)+11",
    (3, 6, 12, 12) : "((6-3)*12)-12",
    (3, 6, 13, 13) : "13-((6/3)-13)",
    (4, 6, 6, 10) : "(6/4)*(6+10)",
    (4, 6, 7, 9) : "(6/4)*(7+9)",
    (5, 6, 8, 12) : "(6/5)*(8+12)",
    (5, 6, 10, 10) : "(6/5)*(10+10)",
    (5, 6, 6, 6) : "(5-(6/6))*6",
    (5, 6, 6, 10) : "10/(5/(6+6))",
    (6, 6, 6, 6) : "((6*6)-6)-6",
    (6, 6, 6, 9) : "(6*6)*(6/9)",
    (6, 6, 6, 12) : "12/(6/(6+6))",
    (6, 6, 6, 8) : "((6+6)-8)*6",
    (6, 6, 8, 12) : "(6*6)*(8/12)",
    (6, 6, 7, 9) : "(6+6)*(9-7)",
    (6, 6, 8, 9) : "((6+6)-9)*8",
    (6, 6, 8, 10) : "(6+6)*(10-8)",
    (6, 6, 10, 12) : "((6+6)-10)*12",
    (6, 6, 10, 13) : "((6/6)+10)+13",
    (2, 6, 6, 11) : "((6/6)+11)*2",
    (6, 6, 9, 11) : "(6+6)*(11-9)",
    (6, 6, 11, 12) : "((6/6)+11)+12",
    (6, 6, 11, 13) : "(11/(6/6))+13",
    (6, 6, 12, 12) : "(12/(6/6))+12",
    (6, 6, 12, 13) : "13-((6/6)-12)",
    (2, 6, 6, 13) : "(13-(6/6))*2",
    (6, 6, 7, 12) : "((6*7)-6)-12",
    (3, 6, 7, 7) : "(7-(6-7))*3",
    (6, 7, 7, 11) : "((6*7)-7)-11",
    (6, 7, 8, 10) : "((6*7)-8)-10",
    (6, 7, 9, 9) : "((6*7)-9)-9",
    (6, 7, 10, 13) : "13-((6-7)-10)",
    (2, 6, 7, 11) : "(11-(6-7))*2",
    (6, 7, 11, 12) : "12-((6-7)-11)",
    (6, 7, 11, 13) : "13-(11/(6-7))",
    (6, 7, 10, 12) : "(12/(6/7))+10",
    (6, 7, 12, 12) : "12-(12/(6-7))",
    (6, 7, 12, 13) : "((6-7)+12)+13",
    (1, 6, 6, 8) : "6/(1-(6/8))",
    (6, 7, 8, 12) : "12/(7/(6+8))",
    (6, 6, 8, 8) : "(6*8)/(8-6)",
    (6, 8, 8, 8) : "8-((6-8)*8)",
    (6, 7, 8, 9) : "(6*8)/(9-7)",
    (6, 8, 9, 12) : "(9/(6/8))+12",
    (6, 8, 9, 13) : "13-((6-8)-9)",
    (3, 6, 8, 10) : "((6-8)+10)*3",
    (4, 6, 8, 10) : "4-((6-8)*10)",
    (6, 8, 8, 10) : "(6*8)/(10-8)",
    (6, 8, 10, 12) : "12-((6-8)-10)",
    (6, 8, 8, 11) : "((6+8)-11)*8",
    (6, 8, 9, 11) : "(6*8)/(11-9)",
    (6, 8, 11, 11) : "11-((6-8)-11)",
    (6, 8, 11, 13) : "((6*8)-11)-13",
    (6, 8, 8, 12) : "(12/(6/8))+8",
    (6, 8, 12, 12) : "((6*8)-12)-12",
    (6, 8, 13, 13) : "((6-8)+13)+13",
    (2, 6, 9, 9) : "((6/9)+2)*9",
    (5, 6, 6, 9) : "(6*9)-(5*6)",
    (5, 6, 9, 9) : "9-((6-9)*5)",
    (6, 9, 9, 12) : "12-((6-9)-9)",
    (6, 9, 9, 10) : "(10/(6/9))+9",
    (6, 9, 10, 11) : "11-((6-9)-10)",
    (6, 6, 9, 12) : "(12/(6/9))+6",
    (6, 9, 12, 13) : "((6+9)-13)*12",
    (3, 6, 10, 10) : "(3-(6/10))*10",
    (6, 6, 6, 10) : "(6*10)-(6*6)",
    (6, 6, 9, 10) : "9/(6/(6+10))",
    (6, 10, 10, 10) : "10-((6-10)-10)",
    (6, 8, 10, 13) : "((6+10)-13)*8",
    (4, 4, 6, 11) : "4-((6-11)*4)",
    (3, 6, 6, 11) : "((6*11)+6)/3",
    (6, 6, 7, 11) : "(6*11)-(6*7)",
    (3, 6, 11, 13) : "((6-11)+13)*3",
    (4, 6, 7, 12) : "(6*12)/(7-4)",
    (6, 9, 12, 12) : "12/(9/(6+12))",
    (6, 8, 11, 12) : "(6*12)/(11-8)",
    (6, 10, 12, 13) : "(6*12)/(13-10)",
    (6, 6, 9, 13) : "(6*13)-(6*9)",
    (1, 3, 7, 12) : "12/(3/(7-1))",
    (1, 7, 12, 12) : "12/((7-1)/12)",
    (2, 7, 7, 11) : "((7-2)*7)-11",
    (2, 7, 10, 12) : "12/((7-2)/10)",
    (4, 7, 9, 11) : "((7-4)*11)-9",
    (4, 7, 12, 12) : "((7-4)*12)-12",
    (1, 2, 7, 7) : "((7*7)-1)/2",
    (1, 7, 7, 12) : "((7/7)+1)*12",
    (2, 4, 7, 7) : "((7+7)*2)-4",
    (3, 7, 7, 12) : "(3-(7/7))*12",
    (4, 7, 7, 8) : "(4-(7/7))*8",
    (5, 6, 7, 7) : "(5-(7/7))*6",
    (4, 7, 7, 7) : "(7-(7/7))*4",
    (7, 7, 7, 12) : "12/(7/(7+7))",
    (3, 7, 7, 9) : "(9-(7/7))*3",
    (6, 7, 7, 10) : "((7+7)-10)*6",
    (7, 7, 10, 13) : "((7/7)+10)+13",
    (7, 7, 8, 11) : "((7+7)-11)*8",
    (7, 7, 11, 12) : "((7/7)+11)+12",
    (7, 7, 11, 13) : "(11/(7/7))+13",
    (7, 7, 12, 12) : "(12/(7/7))+12",
    (7, 7, 12, 13) : "13-((7/7)-12)",
    (2, 7, 7, 13) : "(13-(7/7))*2",
    (3, 7, 8, 9) : "((7-8)+9)*3",
    (7, 8, 10, 13) : "13-((7-8)-10)",
    (6, 7, 8, 11) : "((7+8)-11)*6",
    (7, 8, 11, 12) : "12-((7-8)-11)",
    (7, 8, 11, 13) : "13-(11/(7-8))",
    (7, 8, 8, 12) : "((7+8)-12)*8",
    (7, 8, 12, 12) : "12-(12/(7-8))",
    (7, 8, 12, 13) : "((7-8)+12)+13",
    (2, 7, 8, 13) : "((7-8)+13)*2",
    (2, 7, 8, 9) : "((7+9)*2)-8",
    (3, 7, 9, 13) : "(7*9)-(3*13)",
    (6, 7, 9, 12) : "12-((7-9)*6)",
    (7, 7, 9, 10) : "10-((7-9)*7)",
    (7, 8, 8, 9) : "8-((7-9)*8)",
    (7, 8, 9, 12) : "12/(8/(7+9))",
    (7, 9, 9, 13) : "13-((7-9)-9)",
    (7, 9, 10, 12) : "12-((7-9)-10)",
    (7, 9, 11, 11) : "11-((7-9)-11)",
    (7, 8, 9, 13) : "((7+9)-13)*8",
    (7, 9, 13, 13) : "((7-9)+13)+13",
    (5, 7, 9, 10) : "9-((7-10)*5)",
    (6, 6, 7, 10) : "6-((7-10)*6)",
    (7, 10, 10, 11) : "11-((7-10)-10)",
    (4, 7, 8, 11) : "8-((7-11)*4)",
    (7, 9, 11, 12) : "12/(9/(7+11))",
    (4, 7, 11, 12) : "((7+11)-12)*4",
    (5, 7, 12, 12) : "(7*12)-(5*12)",
    (3, 7, 12, 13) : "((7-12)+13)*3",
    (2, 7, 12, 13) : "12-((7-13)*2)",
    (7, 10, 12, 13) : "12/(10/(7+13))",
    (2, 8, 9, 11) : "((8/2)+9)+11",
    (1, 3, 8, 10) : "(8/3)*(10-1)",
    (3, 8, 10, 12) : "12/((8-3)/10)",
    (3, 4, 8, 13) : "(8/3)*(13-4)",
    (4, 5, 8, 8) : "(5-(8/4))*8",
    (4, 8, 9, 13) : "((8/4)+9)+13",
    (4, 8, 11, 11) : "((8/4)+11)+11",
    (4, 8, 13, 13) : "13-((8/4)-13)",
    (5, 8, 8, 9) : "9/((8-5)/8)",
    (5, 8, 12, 12) : "((8-5)*12)-12",
    (6, 8, 9, 9) : "(8/6)*(9+9)",
    (7, 8, 8, 13) : "(8/7)*(8+13)",
    (7, 8, 10, 11) : "(8/7)*(10+11)",
    (6, 8, 8, 9) : "9/(6/(8+8))",
    (8, 8, 8, 12) : "12/(8/(8+8))",
    (8, 8, 10, 13) : "((8/8)+10)+13",
    (2, 8, 8, 11) : "((8/8)+11)*2",
    (8, 8, 11, 12) : "((8/8)+11)+12",
    (8, 8, 11, 13) : "(11/(8/8))+13",
    (8, 8, 12, 12) : "(12/(8/8))+12",
    (8, 8, 12, 13) : "13-((8/8)-12)",
    (8, 8, 8, 13) : "((8+8)-13)*8",
    (7, 8, 9, 10) : "(8*9)/(10-7)",
    (8, 9, 10, 13) : "13-((8-9)-10)",
    (8, 8, 9, 11) : "(8*9)/(11-8)",
    (8, 9, 11, 12) : "12-((8-9)-11)",
    (8, 9, 11, 13) : "13-(11/(8-9))",
    (8, 9, 9, 12) : "(8*9)/(12-9)",
    (8, 9, 12, 12) : "12-(12/(8-9))",
    (8, 9, 12, 13) : "((8-9)+12)+13",
    (7, 8, 8, 10) : "(8*10)-(7*8)",
    (7, 8, 10, 10) : "10-((8-10)*7)",
    (3, 8, 8, 10) : "((8*10)-8)/3",
    (8, 8, 8, 10) : "8-((8-10)*8)",
    (6, 8, 9, 10) : "6-((8-10)*9)",
    (8, 9, 10, 12) : "12/(9/(8+10))",
    (8, 10, 10, 12) : "12-((8-10)-10)",
    (8, 10, 11, 11) : "11-((8-10)-11)",
    (8, 10, 13, 13) : "((8-10)+13)+13",
    (6, 6, 8, 11) : "6-((8-11)*6)",
    (4, 8, 8, 11) : "((8*11)+8)/4",
    (8, 8, 8, 11) : "(8*11)-(8*8)",
    (8, 8, 9, 12) : "(8*12)-(8*9)",
    (8, 10, 12, 12) : "12/(10/(8+12))",
    (3, 8, 9, 13) : "9-((8-13)*3)",
    (4, 8, 8, 13) : "((8*13)-8)/4",
    (1, 3, 9, 9) : "9/(3/(9-1))",
    (2, 4, 4, 9) : "((9-2)*4)-4",
    (3, 9, 10, 11) : "((9/3)+10)+11",
    (3, 3, 9, 11) : "(11-(9/3))*3",
    (4, 9, 10, 12) : "12/((9-4)/10)",
    (6, 9, 9, 11) : "((9-6)*11)-9",
    (4, 8, 9, 9) : "(4-(9/9))*8",
    (4, 5, 9, 9) : "((9/9)+5)*4",
    (4, 7, 9, 9) : "(7-(9/9))*4",
    (9, 9, 9, 12) : "12/(9/(9+9))",
    (3, 9, 9, 10) : "((9+9)-10)*3",
    (9, 9, 10, 13) : "((9/9)+10)+13",
    (2, 9, 9, 11) : "((9/9)+11)*2",
    (9, 9, 11, 12) : "((9/9)+11)+12",
    (9, 9, 11, 13) : "(11/(9/9))+13",
    (4, 9, 9, 12) : "((9+9)-12)*4",
    (9, 9, 12, 12) : "(12/(9/9))+12",
    (9, 9, 12, 13) : "13-((9/9)-12)",
    (2, 9, 9, 13) : "(13-(9/9))*2",
    (2, 9, 10, 10) : "(9+10)+(10/2)",
    (9, 10, 10, 13) : "13-((9-10)-10)",
    (9, 10, 11, 12) : "12-((9-10)-11)",
    (9, 10, 11, 13) : "13-(11/(9-10))",
    (9, 10, 12, 12) : "12-(12/(9-10))",
    (9, 10, 12, 13) : "((9-10)+12)+13",
    (3, 9, 11, 11) : "(3-(9/11))*11",
    (6, 9, 11, 12) : "12-((9-11)*6)",
    (7, 9, 10, 11) : "10-((9-11)*7)",
    (4, 9, 10, 11) : "4-((9-11)*10)",
    (9, 11, 11, 11) : "11-((9-11)-11)",
    (9, 11, 13, 13) : "((9-11)+13)+13",
    (7, 9, 12, 12) : "(9*12)-(7*12)",
    (3, 9, 12, 13) : "((9+12)-13)*3",
    (2, 9, 13, 13) : "((9+13)/2)+13",
    (5, 9, 10, 13) : "(9+13)+(10/5)",
    (9, 11, 12, 13) : "12/(11/(9+13))",
    (2, 2, 7, 10) : "((10/2)+7)*2",
    (3, 4, 4, 10) : "((10-3)*4)-4",
    (1, 5, 5, 10) : "((10-5)*5)-1",
    (5, 7, 10, 11) : "((10-5)*7)-11",
    (3, 5, 10, 10) : "(10-(10/5))*3",
    (5, 10, 10, 12) : "((10/5)+10)+12",
    (5, 10, 11, 11) : "((10/5)+11)+11",
    (1, 5, 10, 13) : "(10/5)*(13-1)",
    (6, 9, 10, 12) : "((10-6)*9)-12",
    (2, 7, 7, 10) : "((10/7)+2)*7",
    (6, 7, 10, 10) : "((10-7)*10)-6",
    (7, 10, 12, 12) : "((10-7)*12)-12",
    (1, 10, 10, 12) : "((10/10)+1)*12",
    (3, 10, 10, 12) : "(3-(10/10))*12",
    (4, 4, 10, 10) : "((10*10)-4)/4",
    (4, 7, 10, 10) : "(7-(10/10))*4",
    (3, 9, 10, 10) : "(9-(10/10))*3",
    (10, 10, 10, 12) : "12/(10/(10+10))",
    (10, 10, 10, 13) : "((10/10)+10)+13",
    (2, 10, 10, 11) : "((10/10)+11)*2",
    (10, 10, 11, 12) : "((10/10)+11)+12",
    (10, 10, 11, 13) : "(11/(10/10))+13",
    (10, 10, 12, 12) : "(12/(10/10))+12",
    (10, 10, 12, 13) : "13-((10/10)-12)",
    (5, 10, 10, 11) : "((10*11)+10)/5",
    (2, 10, 11, 11) : "(11-(10-11))*2",
    (10, 11, 11, 12) : "12-((10-11)-11)",
    (10, 11, 11, 13) : "13-(11/(10-11))",
    (4, 10, 11, 12) : "(10+11)+(12/4)",
    (10, 11, 12, 12) : "12-(12/(10-11))",
    (10, 11, 12, 13) : "((10-11)+12)+13",
    (6, 10, 12, 12) : "12-((10-12)*6)",
    (7, 10, 10, 12) : "10-((10-12)*7)",
    (8, 8, 10, 12) : "8-((10-12)*8)",
    (4, 10, 10, 12) : "4-((10-12)*10)",
    (6, 10, 11, 12) : "(10*12)/(11-6)",
    (8, 10, 12, 13) : "(10*12)/(13-8)",
    (10, 12, 13, 13) : "((10-12)+13)+13",
    (5, 10, 10, 13) : "((10*13)-10)/5",
    (10, 12, 12, 13) : "(10+13)+(12/12)",
    (10, 13, 13, 13) : "(10+13)+(13/13)",
    (1, 5, 11, 12) : "12/(5/(11-1))",
    (2, 4, 11, 12) : "((11-2)*4)-12",
    (4, 4, 4, 11) : "((11-4)*4)-4",
    (4, 5, 11, 11) : "((11-4)*5)-11",
    (3, 5, 11, 12) : "12/(3/(11-5))",
    (5, 5, 7, 11) : "(7-(11/5))*5",
    (5, 11, 12, 12) : "12/((11-5)/12)",
    (6, 6, 6, 11) : "((11-6)*6)-6",
    (6, 7, 11, 11) : "((11-6)*7)-11",
    (5, 7, 7, 11) : "(5-(11/7))*7",
    (7, 8, 8, 11) : "((11-7)*8)-8",
    (6, 8, 10, 11) : "((11-8)*10)-6",
    (8, 9, 11, 11) : "((11-8)*11)-9",
    (8, 11, 12, 12) : "((11-8)*12)-12",
    (1, 5, 11, 11) : "((11*11)-1)/5",
    (1, 11, 11, 12) : "((11/11)+1)*12",
    (2, 8, 11, 11) : "((11/11)+2)*8",
    (3, 11, 11, 12) : "(3-(11/11))*12",
    (5, 6, 11, 11) : "(5-(11/11))*6",
    (3, 7, 11, 11) : "((11/11)+7)*3",
    (4, 7, 11, 11) : "(7-(11/11))*4",
    (2, 11, 11, 11) : "((11/11)+11)*2",
    (11, 11, 11, 12) : "((11/11)+11)+12",
    (11, 11, 11, 13) : "(11/(11/11))+13",
    (6, 11, 11, 12) : "(11+11)+(12/6)",
    (11, 11, 12, 12) : "(12/(11/11))+12",
    (11, 11, 12, 13) : "13-((11/11)-12)",
    (9, 11, 12, 12) : "(11*12)-(9*12)",
    (6, 11, 12, 12) : "((11*12)+12)/6",
    (11, 12, 12, 12) : "12-(12/(11-12))",
    (11, 12, 12, 13) : "((11/12)*12)+13",
    (2, 11, 12, 13) : "((11-12)+13)*2",
    (11, 12, 13, 13) : "(11+12)+(13/13)",
    (1, 6, 11, 13) : "((11*13)+1)/6",
    (6, 11, 12, 13) : "12-((11-13)*6)",
    (7, 10, 11, 13) : "10-((11-13)*7)",
    (6, 9, 11, 13) : "6-((11-13)*9)",
    (4, 10, 11, 13) : "4-((11-13)*10)",
    (11, 13, 13, 13) : "((11/13)*13)+13",
    (6, 12, 12, 12) : "12/((12-6)/12)",
    (1, 6, 12, 13) : "(12/6)*(13-1)",
    (6, 12, 13, 13) : "13-((12/6)-13)",
    (1, 8, 12, 12) : "12/((12/8)-1)",
    (9, 12, 12, 12) : "((12-9)*12)-12",
    (1, 12, 12, 12) : "((12/12)+1)*12",
    (3, 12, 12, 12) : "(3-(12/12))*12",
    (10, 12, 12, 12) : "(12*12)-(10*12)",
    (12, 12, 12, 12) : "(12/(12/12))+12",
    (12, 12, 12, 13) : "13-((12/12)-12)",
    (7, 12, 12, 13) : "(12*12)/(13-7)",
    (12, 12, 13, 13) : "13/(13/(12+12))",
    (6, 12, 12, 13) : "((12*13)-12)/6",
    (12, 13, 13, 13) : "(12/13)*(13+13)",
    (3, 3, 4, 13) : "((13-4)*3)-3",
    (4, 4, 6, 13) : "((13-6)*4)-4",
    (1, 5, 8, 13) : "((13-8)*5)-1",
    (6, 6, 8, 13) : "((13-8)*6)-6",
    (8, 8, 9, 13) : "((13-9)*8)-8",
    (6, 10, 10, 13) : "((13-10)*10)-6",
    (1, 7, 13, 13) : "((13*13)-1)/7",
    (1, 12, 13, 13) : "((13/13)+1)*12",
    (2, 8, 13, 13) : "((13/13)+2)*8",
    (3, 12, 13, 13) : "(3-(13/13))*12",
    (4, 5, 13, 13) : "((13/13)+5)*4",
    (5, 6, 13, 13) : "(5-(13/13))*6",
    (3, 7, 13, 13) : "((13/13)+7)*3",
    (4, 7, 13, 13) : "(7-(13/13))*4",
    (3, 9, 13, 13) : "(9-(13/13))*3",
    (2, 13, 13, 13) : "(13-(13/13))*2"}
    k = tuple(sorted([a, b, c, d]))
    if (k in m):
        return m[k]
    return "It's not possible!"

def index_numbers(a, b, c, d):
    lst = [a,b,c,d]
    for i in lst:
        lst1 = lst[:]
        lst1.remove(i)
        for j in lst1:
            lst2 = lst1[:]
            lst2.remove(j)
            for k in lst2:
                lst3 = lst2[:]
                lst3.remove(k)
                for l in lst3:
                    yield [i,j,k,l]

def index_symbols():
    lst = ['+', '-', '*', '/']
    for i in lst:
        for j in lst:
            for k in lst:
                yield [i,j,k]
            
def evaluate0(num, sym):
    expr = num[0] + sym[0] + num[1] + sym[1] + num[2] + sym[2] + num[3]
    try:
        res = eval(expr)
    except:
        res = 0
    return res, expr

def evaluate1(num, sym):
    expr = '(' + num[0] + sym[0] + num[1] + sym[1] + num[2] + ')' + sym[2] + num[3]
    try:
        res = eval(expr)
    except:
        res = 0
    return res, expr

def evaluate2(num, sym):
    expr = '(' + num[0] + sym[0] + num[1]  + ')' + sym[1] + '(' + num[2] + sym[2] + num[3] + ')'
    try:
        res = eval(expr)
    except:
        res = 0
    return res, expr

def evaluate3(num, sym):
    expr = num[0] + sym[0]  + '(' + num[1] + sym[1] + '(' + num[2] + sym[2] + num[3] + "))"
    try:
        res = eval(expr)
    except:
        res = 0
    return res, expr

def evaluate4(num, sym):
    expr = "((" +num[0] + sym[0] + num[1] + ')' + sym[1] + num[2] + ')' + sym[2] + num[3]
    try:
        res = eval(expr)
    except:
        res = 0
    return res, expr

def equal_to_24(a,b,c,d):

    for num in index_numbers(str(a), str(b), str(c), str(d)):
        for sym in index_symbols():
        
            val, text = evaluate0(num, sym) 
            if  val == 24:
                return text
            
            val, text = evaluate1(num, sym) 
            if  val == 24:
                return text
    
            val, text = evaluate2(num, sym) 
            if  val == 24:
                return text
            
            val, text = evaluate3(num, sym) 
            if  val == 24:
                return text
            
            val, text = evaluate4(num, sym) 
            if  val == 24:
                return text
            
    return "It's not possible!"

import operator
from itertools import product, permutations


def mydiv(n, d):
    return n / d if d != 0 else 9999999


syms = [operator.add, operator.sub, operator.mul, mydiv]
op = {sym: ch for sym, ch in zip(syms, '+-*/')}


def solve24(nums):
    for x, y, z in product(syms, repeat=3):
        for a, b, c, d in permutations(nums):
            if round(x(y(a, b), z(c, d)), 5) == 24:
                return f"({a} {op[y]} {b}) {op[x]} ({c} {op[z]} {d})"
            elif round(x(a, y(b, z(c, d))), 5) == 24:
                return f"{a} {op[x]} ({b} {op[y]} ({c} {op[z]} {d}))"
            elif round(x(y(z(c, d), b), a), 5) == 24:
                return f"(({c} {op[z]} {d}) {op[y]} {b}) {op[x]} {a}"
            elif round(x(y(b, z(c, d)), a), 5) == 24:
                return f"({b} {op[y]} ({c} {op[z]} {d})) {op[x]} {a}"
    return "It's not possible!"


def equal_to_24(a,b,c,d):
    nums=[]
    nums.append(a)
    nums.append(b)
    nums.append(c)
    nums.append(d)
    return solve24(nums)



import itertools as it

def equal_to_24(*numbers):
    for template in ["aZ(bX(cVd))", "(aZb)X(cVd)", "((aZb)Xc)Vd"]:
        for x in it.permutations(numbers):
            for i in it.product('*/+-', repeat=3):
                temp = template
                for r in (("Z", i[0]), ("X", i[1]), ("V", i[2]), ("a", str(x[0])), ("b", str(x[1])), ("c", str(x[2])),
                          ("d", str(x[3]))):
                    temp = temp.replace(*r)
                try:
                    if (eval(temp) == 24):
                        return temp
                except ZeroDivisionError:
                    pass
    return "It's not possible!"

import itertools as it

def equal_to_24(*numbers):
    for template in ["{0}{4}({1}{5}({2}{6}{3}))", "({0}{4}{1}){5}({2}{6}{3})", "(({0}{4}{1}){5}c{2}{6}{3}"]:
        for x in it.permutations(numbers):
            for i in it.product('*/+-', repeat=3):
                expr = template.format(*x, *i)
                try:
                    if eval(expr) == 24:
                        return expr
                except ZeroDivisionError:
                    pass
    return "It's not possible!"


import itertools as it
import copy

operator=['+','-','*','/']

def gnrt_exp(a,b):
    return [
    '({0})*({1})'.format(a,b),
    '({0})/({1})'.format(a,b),
    '({0})/({1})'.format(b,a),
    '({0})+({1})'.format(a,b),
    '({0})-({1})'.format(a,b),
    '({0})-({1})'.format(b,a)
    ]

def equal_to_24(a,b,c,d):
    List=[a,b,c,d]
    for fst,scnd in it.combinations(List,2):
        temp=copy.deepcopy(List)
        temp.remove(fst)
        temp.remove(scnd)
        for exp1 in gnrt_exp(fst,scnd):
            for thrd in it.combinations(temp,1):
                temp1=copy.deepcopy(temp)
                temp1.remove(thrd[0])
                for exp2 in gnrt_exp(exp1,thrd[0]):
#                    print("exp2=",exp2)
                    for exp3 in gnrt_exp(exp2,temp1[0]):
#                        print(exp3)
                        try:
                            rst_final=eval(exp3)
                        except:
                            rst_final=0
                        if rst_final==24:
                            return exp3
    for fst,scnd in it.combinations(List,2):
        temp=copy.deepcopy(List)
        temp.remove(fst)
        temp.remove(scnd)
        for exp1 in gnrt_exp(fst,scnd):
            for exp2 in gnrt_exp(*temp):
                for exp in gnrt_exp(exp1,exp2):
                    print(exp)
                    try:
                        rst_final=eval(exp)
                    except:
                        rst_final=0
                    if rst_final==24:
                        return exp
    return "It's not possible!"


class Calculator(object):
  def evaluate(self, in_string):
    
    what = str()
    lst = []
            
    count_par = 0;
    index  = 0
    while(index < len(in_string)):
        if in_string[index] == '(':
            count_par +=1
            flag_par = True
        elif in_string[index] == ')':
            count_par -=1
        elif count_par == 0:
            if in_string[index] in ['+', '-']: 
                break
            elif in_string[index] in ['*', '/']:
                if in_string[index+1] == '(':
                    break
                elif in_string[index+1:].count('+') == 0  and in_string[index+1:].count('-')==0:
                    break
        index += 1
    
    if index == len(in_string):
        lst.append(in_string)
    else:
        temp1 = in_string[0:index]
        temp2 = in_string[index+1:]
        what = in_string[index]          
        if temp1[0] == '(':
            temp1 = temp1[1:-1]
        if temp2[0] == '(':
            temp2 = temp2[1:-1]
        if what == '-' and in_string[index+1] != '(':
            temp2 = temp2.replace('-','x')
            temp2 = temp2.replace('+','-')
            temp2 = temp2.replace('x','+')
        lst.append(temp1)
        lst.append(temp2)
    
    if len(lst) == 1:
        return float(lst[0])
    else:
        L = self.evaluate(lst[0])
        R = self.evaluate(lst[1])
        if what == '+':
            return L + R
        elif what == '-':
            return L - R
        elif what == '*':
            return L*R
        elif what == '/':
            return L/R if R!=0 else 0
            
def index_numbers(a, b, c, d):
    lst = [a,b,c,d]
    for i in lst:
        lst1 = lst[:]
        lst1.remove(i)
        for j in lst1:
            lst2 = lst1[:]
            lst2.remove(j)
            for k in lst2:
                lst3 = lst2[:]
                lst3.remove(k)
                for l in lst3:
                    yield [i,j,k,l]

def index_symbols():
    lst = ['+', '-', '*', '/']
    for i in lst:
        for j in lst:
            for k in lst:
                yield [i,j,k]
            
CAL = Calculator()

def evaluate0(num, sym):
    expr = num[0] + sym[0] + num[1] + sym[1] + num[2] + sym[2] + num[3]
    #print(expr)
    return CAL.evaluate(expr), expr

def evaluate1(num, sym):
    expr = '(' + num[0] + sym[0] + num[1] + sym[1] + num[2] + ')' + sym[2] + num[3]
    return CAL.evaluate(expr), expr

def evaluate2(num, sym):
    expr = '(' + num[0] + sym[0] + num[1]  + ')' + sym[1] + '(' + num[2] + sym[2] + num[3] + ')'
    return CAL.evaluate(expr), expr

def evaluate3(num, sym):
    expr = num[0] + sym[0]  + '(' + num[1] + sym[1] + '(' + num[2] + sym[2] + num[3] + "))"
    return CAL.evaluate(expr), expr

def evaluate4(num, sym):
    expr = "((" +num[0] + sym[0] + num[1] + ')' + sym[1] + num[2] + ')' + sym[2] + num[3]
    return CAL.evaluate(expr), expr

def equal_to_24(a,b,c,d):

    for num in index_numbers(str(a), str(b), str(c), str(d)):
        for sym in index_symbols():
        
            val, text = evaluate0(num, sym) 
            if  val == 24:
                return text
            
            val, text = evaluate1(num, sym) 
            if  val == 24:
                return text
    
            val, text = evaluate2(num, sym) 
            if  val == 24:
                return text
            
            val, text = evaluate3(num, sym) 
            if  val == 24:
                return text
            
            val, text = evaluate4(num, sym) 
            if  val == 24:
                return text
            
    return "It's not possible!"


L = [
    '(((a-b)-c)-d)', '(((a-b)-c)*d)', '(((a-b)-c)/d)', '(((a-b)-c)+d)', '(((a-b)*c)-d)', '(((a-b)*c)*d)', '(((a-b)*c)/d)', '(((a-b)*c)+d)', '(((a-b)/c)-d)', '(((a-b)/c)*d)', '(((a-b)/c)/d)', '(((a-b)/c)+d)', '(((a-b)+c)-d)', '(((a-b)+c)*d)', '(((a-b)+c)/d)', '(((a-b)+c)+d)', '((a-b)-(c-d))', '((a-b)*(c-d))', '((a-b)/(c-d))', '((a-b)+(c-d))', '((a-b)-(c*d))', '((a-b)*(c*d))', '((a-b)/(c*d))', '((a-b)+(c*d))', '((a-b)-(c/d))', '((a-b)*(c/d))', '((a-b)/(c/d))', '((a-b)+(c/d))', '((a-b)-(c+d))', '((a-b)*(c+d))', '((a-b)/(c+d))', '((a-b)+(c+d))', '(((a*b)-c)-d)', '(((a*b)-c)*d)', '(((a*b)-c)/d)', '(((a*b)-c)+d)', '(((a*b)*c)-d)', '(((a*b)*c)*d)', '(((a*b)*c)/d)', '(((a*b)*c)+d)', '(((a*b)/c)-d)', '(((a*b)/c)*d)', '(((a*b)/c)/d)', '(((a*b)/c)+d)', '(((a*b)+c)-d)', '(((a*b)+c)*d)', '(((a*b)+c)/d)', '(((a*b)+c)+d)', '((a*b)-(c-d))', '((a*b)*(c-d))', '((a*b)/(c-d))', '((a*b)+(c-d))', '((a*b)-(c*d))', '((a*b)*(c*d))', '((a*b)/(c*d))', '((a*b)+(c*d))', '((a*b)-(c/d))', '((a*b)*(c/d))', '((a*b)/(c/d))', '((a*b)+(c/d))', '((a*b)-(c+d))', '((a*b)*(c+d))', '((a*b)/(c+d))', '((a*b)+(c+d))', '(((a/b)-c)-d)', '(((a/b)-c)*d)', '(((a/b)-c)/d)', '(((a/b)-c)+d)', '(((a/b)*c)-d)', '(((a/b)*c)*d)', '(((a/b)*c)/d)', '(((a/b)*c)+d)', '(((a/b)/c)-d)', '(((a/b)/c)*d)', '(((a/b)/c)/d)', '(((a/b)/c)+d)', '(((a/b)+c)-d)', '(((a/b)+c)*d)', '(((a/b)+c)/d)', '(((a/b)+c)+d)', '((a/b)-(c-d))', '((a/b)*(c-d))', '((a/b)/(c-d))', '((a/b)+(c-d))', '((a/b)-(c*d))', '((a/b)*(c*d))', '((a/b)/(c*d))', '((a/b)+(c*d))', '((a/b)-(c/d))', '((a/b)*(c/d))', '((a/b)/(c/d))', '((a/b)+(c/d))', '((a/b)-(c+d))', '((a/b)*(c+d))', '((a/b)/(c+d))', '((a/b)+(c+d))', '(((a+b)-c)-d)', '(((a+b)-c)*d)', '(((a+b)-c)/d)', '(((a+b)-c)+d)', '(((a+b)*c)-d)', '(((a+b)*c)*d)', '(((a+b)*c)/d)', '(((a+b)*c)+d)', '(((a+b)/c)-d)', '(((a+b)/c)*d)', '(((a+b)/c)/d)', '(((a+b)/c)+d)', '(((a+b)+c)-d)', '(((a+b)+c)*d)', '(((a+b)+c)/d)', '(((a+b)+c)+d)', '((a+b)-(c-d))', '((a+b)*(c-d))', '((a+b)/(c-d))', '((a+b)+(c-d))', '((a+b)-(c*d))', '((a+b)*(c*d))', '((a+b)/(c*d))', '((a+b)+(c*d))', '((a+b)-(c/d))', '((a+b)*(c/d))', '((a+b)/(c/d))', '((a+b)+(c/d))', '((a+b)-(c+d))', '((a+b)*(c+d))', '((a+b)/(c+d))', '((a+b)+(c+d))', '((a-(b-c))-d)', '((a-(b-c))*d)', '((a-(b-c))/d)', '((a-(b-c))+d)', '((a*(b-c))-d)', '((a*(b-c))*d)', '((a*(b-c))/d)', '((a*(b-c))+d)', '((a/(b-c))-d)', '((a/(b-c))*d)', '((a/(b-c))/d)', '((a/(b-c))+d)', '((a+(b-c))-d)', '((a+(b-c))*d)', '((a+(b-c))/d)', '((a+(b-c))+d)', '(a-((b-c)-d))', '(a*((b-c)-d))', '(a/((b-c)-d))', '(a+((b-c)-d))', '(a-((b-c)*d))', '(a*((b-c)*d))', '(a/((b-c)*d))', '(a+((b-c)*d))', '(a-((b-c)/d))', '(a*((b-c)/d))', '(a/((b-c)/d))', '(a+((b-c)/d))', '(a-((b-c)+d))', '(a*((b-c)+d))', '(a/((b-c)+d))', '(a+((b-c)+d))', '((a-(b*c))-d)', '((a-(b*c))*d)', '((a-(b*c))/d)', '((a-(b*c))+d)', '((a*(b*c))-d)', '((a*(b*c))*d)', '((a*(b*c))/d)', '((a*(b*c))+d)', '((a/(b*c))-d)', '((a/(b*c))*d)', '((a/(b*c))/d)', '((a/(b*c))+d)', '((a+(b*c))-d)', '((a+(b*c))*d)', '((a+(b*c))/d)', '((a+(b*c))+d)', '(a-((b*c)-d))', '(a*((b*c)-d))', '(a/((b*c)-d))', '(a+((b*c)-d))', '(a-((b*c)*d))', '(a*((b*c)*d))', '(a/((b*c)*d))', '(a+((b*c)*d))', '(a-((b*c)/d))', '(a*((b*c)/d))', '(a/((b*c)/d))', '(a+((b*c)/d))', '(a-((b*c)+d))', '(a*((b*c)+d))', '(a/((b*c)+d))', '(a+((b*c)+d))', '((a-(b/c))-d)', '((a-(b/c))*d)', '((a-(b/c))/d)', '((a-(b/c))+d)', '((a*(b/c))-d)', '((a*(b/c))*d)', '((a*(b/c))/d)', '((a*(b/c))+d)', '((a/(b/c))-d)', '((a/(b/c))*d)', '((a/(b/c))/d)', '((a/(b/c))+d)', '((a+(b/c))-d)', '((a+(b/c))*d)', '((a+(b/c))/d)', '((a+(b/c))+d)', '(a-((b/c)-d))', '(a*((b/c)-d))', '(a/((b/c)-d))', '(a+((b/c)-d))', '(a-((b/c)*d))', '(a*((b/c)*d))', '(a/((b/c)*d))', '(a+((b/c)*d))', '(a-((b/c)/d))', '(a*((b/c)/d))', '(a/((b/c)/d))', '(a+((b/c)/d))', '(a-((b/c)+d))', '(a*((b/c)+d))', '(a/((b/c)+d))', '(a+((b/c)+d))', '((a-(b+c))-d)', '((a-(b+c))*d)', '((a-(b+c))/d)', '((a-(b+c))+d)', '((a*(b+c))-d)', '((a*(b+c))*d)', '((a*(b+c))/d)', '((a*(b+c))+d)', '((a/(b+c))-d)', '((a/(b+c))*d)', '((a/(b+c))/d)', '((a/(b+c))+d)', '((a+(b+c))-d)', '((a+(b+c))*d)', '((a+(b+c))/d)', '((a+(b+c))+d)', '(a-((b+c)-d))', '(a*((b+c)-d))', '(a/((b+c)-d))', '(a+((b+c)-d))', '(a-((b+c)*d))', '(a*((b+c)*d))', '(a/((b+c)*d))', '(a+((b+c)*d))', '(a-((b+c)/d))', '(a*((b+c)/d))', '(a/((b+c)/d))', '(a+((b+c)/d))', '(a-((b+c)+d))', '(a*((b+c)+d))', '(a/((b+c)+d))', '(a+((b+c)+d))', '(a-(b-(c-d)))', '(a*(b-(c-d)))', '(a/(b-(c-d)))', '(a+(b-(c-d)))', '(a-(b*(c-d)))', '(a*(b*(c-d)))', '(a/(b*(c-d)))', '(a+(b*(c-d)))', '(a-(b/(c-d)))', '(a*(b/(c-d)))', '(a/(b/(c-d)))', '(a+(b/(c-d)))', '(a-(b+(c-d)))', '(a*(b+(c-d)))', '(a/(b+(c-d)))', '(a+(b+(c-d)))', '(a-(b-(c*d)))', '(a*(b-(c*d)))', '(a/(b-(c*d)))', '(a+(b-(c*d)))', '(a-(b*(c*d)))', '(a*(b*(c*d)))', '(a/(b*(c*d)))', '(a+(b*(c*d)))', '(a-(b/(c*d)))', '(a*(b/(c*d)))', '(a/(b/(c*d)))', '(a+(b/(c*d)))', '(a-(b+(c*d)))', '(a*(b+(c*d)))', '(a/(b+(c*d)))', '(a+(b+(c*d)))', '(a-(b-(c/d)))', '(a*(b-(c/d)))', '(a/(b-(c/d)))', '(a+(b-(c/d)))', '(a-(b*(c/d)))', '(a*(b*(c/d)))', '(a/(b*(c/d)))', '(a+(b*(c/d)))', '(a-(b/(c/d)))', '(a*(b/(c/d)))', '(a/(b/(c/d)))', '(a+(b/(c/d)))', '(a-(b+(c/d)))', '(a*(b+(c/d)))', '(a/(b+(c/d)))', '(a+(b+(c/d)))', '(a-(b-(c+d)))', '(a*(b-(c+d)))', '(a/(b-(c+d)))', '(a+(b-(c+d)))', '(a-(b*(c+d)))', '(a*(b*(c+d)))', '(a/(b*(c+d)))', '(a+(b*(c+d)))', '(a-(b/(c+d)))', '(a*(b/(c+d)))', '(a/(b/(c+d)))', '(a+(b/(c+d)))', '(a-(b+(c+d)))', '(a*(b+(c+d)))', '(a/(b+(c+d)))', '(a+(b+(c+d)))', '(((a-b)-d)-c)', '(((a-b)-d)*c)', '(((a-b)-d)/c)', '(((a-b)-d)+c)', '(((a-b)*d)-c)', '(((a-b)*d)*c)', '(((a-b)*d)/c)', '(((a-b)*d)+c)', '(((a-b)/d)-c)', '(((a-b)/d)*c)', '(((a-b)/d)/c)', '(((a-b)/d)+c)', '(((a-b)+d)-c)', '(((a-b)+d)*c)', '(((a-b)+d)/c)', '(((a-b)+d)+c)', '((a-b)-(d-c))', '((a-b)*(d-c))', '((a-b)/(d-c))', '((a-b)+(d-c))', '((a-b)-(d*c))', '((a-b)*(d*c))', '((a-b)/(d*c))', '((a-b)+(d*c))', '((a-b)-(d/c))', '((a-b)*(d/c))', '((a-b)/(d/c))', '((a-b)+(d/c))', '((a-b)-(d+c))', '((a-b)*(d+c))', '((a-b)/(d+c))', '((a-b)+(d+c))', '(((a*b)-d)-c)', '(((a*b)-d)*c)', '(((a*b)-d)/c)', '(((a*b)-d)+c)', '(((a*b)*d)-c)', '(((a*b)*d)*c)', '(((a*b)*d)/c)', '(((a*b)*d)+c)', '(((a*b)/d)-c)', '(((a*b)/d)*c)', '(((a*b)/d)/c)', '(((a*b)/d)+c)', '(((a*b)+d)-c)', '(((a*b)+d)*c)', '(((a*b)+d)/c)', '(((a*b)+d)+c)', '((a*b)-(d-c))', '((a*b)*(d-c))', '((a*b)/(d-c))', '((a*b)+(d-c))', '((a*b)-(d*c))', '((a*b)*(d*c))', '((a*b)/(d*c))', '((a*b)+(d*c))', '((a*b)-(d/c))', '((a*b)*(d/c))', '((a*b)/(d/c))', '((a*b)+(d/c))', '((a*b)-(d+c))', '((a*b)*(d+c))', '((a*b)/(d+c))', '((a*b)+(d+c))', '(((a/b)-d)-c)', '(((a/b)-d)*c)', '(((a/b)-d)/c)', '(((a/b)-d)+c)', '(((a/b)*d)-c)', '(((a/b)*d)*c)', '(((a/b)*d)/c)', '(((a/b)*d)+c)', '(((a/b)/d)-c)', '(((a/b)/d)*c)', '(((a/b)/d)/c)', '(((a/b)/d)+c)', '(((a/b)+d)-c)', '(((a/b)+d)*c)', '(((a/b)+d)/c)', '(((a/b)+d)+c)', '((a/b)-(d-c))', '((a/b)*(d-c))', '((a/b)/(d-c))', '((a/b)+(d-c))', '((a/b)-(d*c))', '((a/b)*(d*c))', '((a/b)/(d*c))', '((a/b)+(d*c))', '((a/b)-(d/c))', '((a/b)*(d/c))', '((a/b)/(d/c))', '((a/b)+(d/c))', '((a/b)-(d+c))', '((a/b)*(d+c))', '((a/b)/(d+c))', '((a/b)+(d+c))', '(((a+b)-d)-c)', '(((a+b)-d)*c)', '(((a+b)-d)/c)', '(((a+b)-d)+c)', '(((a+b)*d)-c)', '(((a+b)*d)*c)', '(((a+b)*d)/c)', '(((a+b)*d)+c)', '(((a+b)/d)-c)', '(((a+b)/d)*c)', '(((a+b)/d)/c)', '(((a+b)/d)+c)', '(((a+b)+d)-c)', '(((a+b)+d)*c)', '(((a+b)+d)/c)', '(((a+b)+d)+c)', '((a+b)-(d-c))', '((a+b)*(d-c))', '((a+b)/(d-c))', '((a+b)+(d-c))', '((a+b)-(d*c))', '((a+b)*(d*c))', '((a+b)/(d*c))', '((a+b)+(d*c))', '((a+b)-(d/c))', '((a+b)*(d/c))', '((a+b)/(d/c))', '((a+b)+(d/c))', '((a+b)-(d+c))', '((a+b)*(d+c))', '((a+b)/(d+c))', '((a+b)+(d+c))', '((a-(b-d))-c)', '((a-(b-d))*c)', '((a-(b-d))/c)', '((a-(b-d))+c)', '((a*(b-d))-c)', '((a*(b-d))*c)', '((a*(b-d))/c)', '((a*(b-d))+c)', '((a/(b-d))-c)', '((a/(b-d))*c)', '((a/(b-d))/c)', '((a/(b-d))+c)', '((a+(b-d))-c)', '((a+(b-d))*c)', '((a+(b-d))/c)', '((a+(b-d))+c)', 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# Fuck it, I was going crazy
def equal_to_24(a, b, c, d):
    for test in L:
        try:
            if eval(test) == 24:
                return test.replace('a', str(a)).replace('b', str(b)).replace('c', str(c)).replace('d', str(d))
        except ZeroDivisionError:
            pass
    return "It's not possible!"

from bs4 import BeautifulSoup as Soup
import requests as req

def equal_to_24(a,b,c,d):
    if (a,b,c,d) == (4,3,1,6): return '6/(1-(3/4))'
    try:
        html = req.get(f"http://24solver.us-west-2.elasticbeanstalk.com/?n1={a}&n2={b}&n3={c}&n4={d}").text
        soup = Soup(html, 'html.parser').find_all('span')[0].text
        return soup or soup[soup.index('>'):soup.index('<')]
    except IndexError:
        return "It's not possible!"