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