做个记录,还没学会递归解决,先回去想想迷宫问题,这个是暴力穷举,大家见笑

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

    flag = 0

    # 0为*,1为+,2为-,3为/
    for i in range(4):
        for j in range(4):
            for k in range(4):
    # mutiply
                if(i == 0 and j == 0 and k == 0):
                    if(a*b*c*d == 24):
                        flag = 1
                elif(i == 0 and j == 0 and k == 1):
                    if(a*b*c+d == 24):
                        flag = 1
                    elif(a*b*(c+d) == 24):
                        flag = 1
                elif(i == 0 and j == 0 and k == 2):
                    if(a*b*c-d == 24):
                        flag = 1
                    elif(a*b*(c-d) == 24):
                        flag = 1
                elif(i == 0 and j == 0 and k == 3):
                    if(d !=0 and a*b*c/d == 24):
                        flag = 1
                elif(i == 0 and j == 1 and k == 0):
                    if(a*b+c*d == 24):
                        flag = 1
                    elif(a*(b+c)*d == 24):
                        flag = 1
                elif(i == 0 and j == 1 and k == 1):
                    if(a*b+c+d == 24):
                        flag = 1
                    elif(a*(b+c)+d == 24):
                        flag = 1
                    elif(a*(b+c+d) == 24):
                        flag = 1
                elif(i == 0 and j == 1 and k == 2):
                    if(a*b+c-d == 24):
                        flag = 1
                    elif(a*(b+c)-d == 24):
                        flag = 1
                    elif(a*(b+c-d) == 24):
                        flag = 1
                elif(i == 0 and j == 1 and k == 3):
                    if(d !=0 and a*b+c/d == 24):
                        flag = 1
                    elif(a*(b+c)/d == 24):
                        flag = 1
                elif(i == 0 and j == 2 and k == 0):
                    if(a*b-c*d == 24):
                        flag = 1
                    elif(a*(b-c)*d == 24):
                        flag = 1
                elif(i == 0 and j == 2 and k == 1):
                    if(a*b-c+d == 24):
                        flag = 1
                    elif(a*(b-c)+d == 24):
                        flag = 1
                    elif(a*(b-c+d) == 24):
                        flag = 1
                elif(i == 0 and j == 2 and k == 2):
                    if(a*b-c-d == 24):
                        flag = 1
                    elif(a*(b-c)-d == 24):
                        flag = 1
                    elif(a*(b-c-d) == 24):
                        flag = 1
                elif(i == 0 and j == 2 and k == 3):
                    if(d !=0 and a*b-c/d == 24):
                        flag = 1
                    elif(d !=0 and a*(b-c)/d == 24):
                        flag = 1
                elif(i == 0 and j == 3 and k == 0):
                    if(c !=0 and a*b/c*d == 24):
                        flag = 1
                elif(i == 0 and j == 3 and k == 1):
                    if(c !=0 and a*b/c+d == 24):
                        flag = 1
                    elif(c+d !=0 and a*b/(c+d) == 24):
                        flag = 1
                elif(i == 0 and j == 3 and k == 2):
                    if(c !=0 and a*b/c-d == 24):
                        flag = 1
                    elif(c-d !=0 and a*b/(c-d) == 24):
                        flag = 1
                elif(i == 0 and j == 3 and k == 3):
                    if(c !=0 and d !=0 and a*b/c/d == 24):
                        flag = 1
    # add    
                elif(i == 1 and j == 0 and k == 0):
                    if(a+b*c*d == 24):
                        flag = 1
                    elif((a+b)*c*d == 24):
                        flag = 1
                elif(i == 1 and j == 0 and k == 1):
                    if(a+b*c+d == 24):
                        flag = 1
                    elif(a+b*(c+d) == 24):
                        flag = 1
                    elif((a+b)*c+d == 24):
                        flag = 1
                    elif((a+b)*(c+d) == 24):
                        flag = 1
                elif(i == 1 and j == 0 and k == 2):
                    if(a+b*c-d == 24):
                        flag = 1
                    elif(a+b*(c-d) == 24):
                        flag = 1
                    elif((a+b)*c-d == 24):
                        flag = 1
                    elif((a+b)*(c-d) == 24):
                        flag = 1
                elif(i == 1 and j == 0 and k == 3):
                    if(d !=0 and a+b*c/d == 24):
                        flag = 1
                    elif(d !=0 and (a+b)*c/d == 24):
                        flag = 1
                elif(i == 1 and j == 1 and k == 0):
                    if(a+b+c*d == 24):
                        flag = 1
                    elif(a+(b+c)*d == 24):
                        flag = 1
                    elif((a+b+c)*d == 24):
                        flag = 1
                elif(i == 1 and j == 1 and k == 1):
                    if(a+b+c+d == 24):
                        flag = 1
                elif(i == 1 and j == 1 and k == 2):
                    if(a+b+c-d == 24):
                        flag = 1
                elif(i == 1 and j == 1 and k == 3):
                    if(d !=0 and a+b+c/d == 24):
                        flag = 1
                    elif(d !=0 and a+(b+c)/d == 24):
                        flag = 1
                    elif(d !=0 and (a+b+c)/d == 24):
                        flag = 1
                elif(i == 1 and j == 2 and k == 0):
                    if(a+b-c*d == 24):
                        flag = 1
                    elif(a+(b-c)*d == 24):
                        flag = 1
                    elif((a+b-c)*d == 24):
                        flag = 1
                elif(i == 1 and j == 2 and k == 1):
                    if(a+b-c+d == 24):
                        flag = 1
                elif(i == 1 and j == 2 and k == 2):
                    if(a+b-c-d == 24):
                        flag = 1
                elif(i == 1 and j == 2 and k == 3):
                    if(d !=0 and a+b-c/d == 24):
                        flag = 1
                    elif(a+(b-c)/d == 24):
                        flag = 1
                    elif((a+b-c)/d == 24):
                        flag = 1
                elif(i == 1 and j == 3 and k == 0):
                    if(c !=0 and a+b/c*d == 24):
                        flag = 1
                    elif(c !=0 and (a+b)/c*d == 24):
                        flag = 1
                elif(i == 1 and j == 3 and k == 1):
                    if(c !=0 and a+b/c+d == 24):
                        flag = 1
                    elif(c+d !=0 and a+b/(c+d) == 24):
                        flag = 1
                    elif(c+d !=0 and (a+b)/(c+d) == 24):
                        flag = 1
                elif(i == 1 and j == 3 and k == 2):
                    if(c !=0 and a+b/c-d == 24):
                        flag = 1
                    elif(c-d !=0 and a+b/(c-d) == 24):
                        flag = 1
                    elif(c-d !=0 and (a+b)/(c-d) == 24):
                        flag = 1
                elif(i == 1 and j == 3 and k == 3):
                    if(c !=0 and d !=0 and a+b/c/d == 24):
                        flag = 1
                    elif(c !=0 and d !=0 and (a+b)/c/d == 24):
                        flag = 1
    # dsubtract            
                elif(i == 2 and j == 0 and k == 0):
                    if(a-b*c*d == 24):
                        flag = 1
                    elif((a-b)*c*d == 24):
                        flag = 1
                elif(i == 2 and j == 0 and k == 1):
                    if(a-b*c+d == 24):
                        flag = 1
                    elif(a-b*(c+d) == 24):
                        flag = 1
                    elif((a-b)*c+d == 24):
                        flag = 1
                    elif((a-b)*(c+d) == 24):
                        flag = 1
                elif(i == 2 and j == 0 and k == 2):
                    if(a-b*c-d == 24):
                        flag = 1
                    elif(a-b*(c-d) == 24):
                        flag = 1
                    elif((a-b)*c-d == 24):
                        flag = 1
                    elif((a-b)*(c-d) == 24):
                        flag = 1
                elif(i == 2 and j == 0 and k == 3):
                    if(d !=0 and a-b*c/d == 24):
                        flag = 1
                    elif(d !=0 and (a-b)*c/d == 24):
                        flag = 1
                elif(i == 2 and j == 1 and k == 0):
                    if(a-b+c*d == 24):
                        flag = 1
                    elif(a-(b+c)*d == 24):
                        flag = 1
                    elif((a-b+c)*d == 24):
                        flag = 1
                elif(i == 2 and j == 1 and k == 1):
                    if(a-b+c+d == 24):
                        flag = 1
                elif(i == 2 and j == 1 and k == 2):
                    if(a-b+c-d == 24):
                        flag = 1
                elif(i == 2 and j == 1 and k == 3):
                    if(d !=0 and a-b+c/d == 24):
                        flag = 1
                    elif(d !=0 and a-(b+c)/d == 24):
                        flag = 1
                    elif(d !=0 and (a-b+c)/d == 24):
                        flag = 1
                elif(i == 2 and j == 2 and k == 0):
                    if(a-b-c*d == 24):
                        flag = 1
                    elif(a-(b-c)*d == 24):
                        flag = 1
                    elif((a-b-c)*d == 24):
                        flag = 1
                elif(i == 2 and j == 2 and k == 1):
                    if(a-b-c+d == 24):
                        flag = 1
                elif(i == 2 and j == 2 and k == 2):
                    if(a-b-c-d == 24):
                        flag = 1
                elif(i == 2 and j == 2 and k == 3):
                    if(d !=0 and a-b-c/d == 24):
                        flag = 1
                    elif(d !=0 and a-(b-c)/d == 24):
                        flag = 1
                    elif(d !=0 and (a-b-c)/d == 24):
                        flag = 1
                elif(i == 2 and j == 3 and k == 0):
                    if(c !=0 and a-b/c*d == 24):
                        flag = 1
                    elif(c !=0 and (a-b)/c*d == 24):
                        flag = 1
                elif(i == 2 and j == 3 and k == 1):
                    if(c !=0 and a-b/c+d == 24):
                        flag = 1
                    elif(c+d !=0 and a-b/(c+d) == 24):
                        flag = 1
                    elif(c+d !=0 and (a-b)/(c+d) == 24):
                        flag = 1
                elif(i == 2 and j == 3 and k == 2):
                    if(c !=0 and a-b/c-d == 24):
                        flag = 1
                    elif(c-d !=0 and a-b/(c-d) == 24):
                        flag = 1
                    elif(c-d !=0 and (a-b)/(c-d) == 24):
                        flag = 1
                elif(i == 2 and j == 3 and k == 3):
                    if(c !=0 and d !=0 and a-b/c/d == 24):
                        flag = 1
                    elif(c !=0 and d !=0 and (a-b)/c/d == 24):
                        flag = 1
    # devide
                if(i == 3 and j == 0 and k == 0):
                    if(b !=0 and (a/b*c*d) == 24):
                        flag = 1
                elif(i == 3 and j == 0 and k == 1):
                    if(b !=0 and a/b*c+d == 24):
                        flag = 1
                    elif(b !=0 and a/b*(c+d) == 24):
                        flag = 1
                elif(i == 3 and j == 0 and k == 2):
                    if(b !=0 and a/b*c-d == 24):
                        flag = 1
                    elif(b !=0 and a/b*(c-d) == 24):
                        flag = 1
                elif(i == 3 and j == 0 and k == 3):
                    if(b !=0 and a/b*c/d == 24):
                        flag = 1
                elif(i == 3 and j == 1 and k == 0):
                    if(b !=0 and a/b+c*d == 24):
                        flag = 1
                    elif(b+c !=0 and a/(b+c)*d == 24):
                        flag = 1
                elif(i == 3 and j == 1 and k == 1):
                    if(b !=0 and a/b+c+d == 24):
                        flag = 1
                    elif(b+c !=0 and a/(b+c)+d == 24):
                        flag = 1
                    elif(b+c+d !=0 and a/(b+c+d) == 24):
                        flag = 1
                elif(i == 3 and j == 1 and k == 2):
                    if(b !=0 and a/b+c-d == 24):
                        flag = 1
                    elif(b+c !=0 and a/(b+c)-d == 24):
                        flag = 1
                    elif(b+c-d !=0 and a/(b+c-d) == 24):
                        flag = 1
                elif(i == 3 and j == 1 and k == 3):
                    if(b !=0 and d !=0 and a/b+c/d == 24):
                        flag = 1
                    elif(b+c !=0 and d !=0 and a/(b+c)/d == 24):
                        flag = 1
                elif(i == 3 and j == 2 and k == 0):
                    if(b !=0 and a/b-c*d == 24):
                        flag = 1
                    elif(b-c !=0 and a/(b-c)*d == 24):
                        flag = 1
                elif(i == 3 and j == 2 and k == 1):
                    if(b !=0 and a/b-c+d == 24):
                        flag = 1
                    elif(b-c !=0 and a/(b-c)+d == 24):
                        flag = 1
                    elif(b-c+d !=0 and a/(b-c+d) == 24):
                        flag = 1
                elif(i == 3 and j == 2 and k == 2):
                    if(b !=0 and a/b-c-d == 24):
                        flag = 1
                    elif(b-c !=0 and a/(b-c)-d == 24):
                        flag = 1
                    elif(b-c-d !=0 and a/(b-c-d) == 24):
                        flag = 1
                elif(i == 3 and j == 2 and k == 3):
                    if(b !=0 and d !=0 and a/b-c/d == 24):
                        flag = 1
                    elif(b-c !=0 and a/(b-c)/d == 24):
                        flag = 1
                elif(i == 3 and j == 3 and k == 0):
                    if(b !=0 and c !=0 and a/b/c*d == 24):
                        flag = 1
                elif(i == 3 and j == 3 and k == 1):
                    if(b !=0 and c !=0 and a/b/c+d == 24):
                        flag = 1
                    elif(b !=0 and c+d !=0 and a/b/(c+d) == 24):
                        flag = 1
                elif(i == 3 and j == 3 and k == 2):
                    if(b !=0 and c !=0 and a/b/c-d == 24):
                        flag = 1
                    elif(b !=0 and c-d !=0 and a/b/(c-d) == 24):
                        flag = 1
                elif(i == 3 and j == 3 and k == 3):
                    if(b !=0 and c !=0 and d !=0 and a/b/c/d == 24):
                        flag = 1


                if(flag == 1):
                    break
            if(flag == 1):
                break
        if(flag == 1):
            break
    return flag

while True:
    try:
        num1 = []
        a, b, c, d = [int(x) for x in input().split()]
        num1.append(a)
        num1.append(b)
        num1.append(c)
        num1.append(d)

        ans = 0

        for i in range(4):
            for j in range(4):
                if(j != i):
                    for k in range(4):
                        if(k != j and k != i):
                            for l in range(4):
                                if(l != i and l != j and l != k):
                                    ans = asmd(num1[i],num1[j],num1[k],num1[l])
                                if(ans == 1):
#                                     print(i,j,k,l)
                                    break
                        if(ans == 1):
                            break
                if(ans == 1):
                    break
            if(ans == 1):
                break
        if(ans == 1):
            print('true')
        else:
            print('false')
    except:
        break