执行时间更长

Question

对于较大的输入，例如x = 23，执行代码时需要花费很长时间！而y = 5 !!!!!代码的输出应该是x和y之间的比较。关于输入的一个小例子是，如果输入是3 !!，这意味着（3！）！）= 6！ = 720.

def large（）

t = int(input())    
i = 0
fact_str = ""
fact_stry = ""
res, resy = 1, 1    
counter = 0
countery = 0
while(i < t):
    x = input()
    y = input()             
    for char in x:          
        if char == '!' and counter == 0:                
            fact_str = int(fact_str)
            for num in range(fact_str, 0, -1):
                res = res * num
            counter = counter + 1
        elif counter > 0:               
            for num in range(res-1, 0, -1):                 
                res = res * num
        else:
            fact_str = str(fact_str)                                
            fact_str = fact_str + char              
    for chary in y:         
        if chary == '!' and countery == 0:              
            fact_stry = int(fact_stry)
            for numy in range(fact_stry, 0, -1):
                resy = resy * numy
            countery = countery + 1
        elif countery > 0:              
            for num in range(resy-1, 0, -1):                    
                resy = resy * numy
        else:   
            print("at esle", resy)  
            fact_stry = str(fact_stry)      
            fact_stry = fact_stry + chary               
        if len(str(x)) == len(str(fact_str)):
            fact_str = int(fact_str)
            x = fact_str
        else:
            x = res
        if len(str(y)) == len(str(fact_stry)):
            fact_stry = int(fact_stry)
            y = fact_stry
        else:
            y = res
    x = int(x)
    y = int(y)
    if x == y:
        print("x=y")
    elif x > y:
        print("x>y")
    else:
        print("x<y")
    i = i + 1

large（）

可以优化此代码，以便在输入值较大时可以更快地执行吗？或者python仅限于较小的输入？