import math
from tkinter import *
root = Tk()
root.geometry("500x250")
root.resizable(0, 0)
root.config(bg="#d9ead3")
root.title("Constante de Látorie-Robinson")
def limpar():
    numero_entrada.delete(0,END)

def app():
    n=numero.get()
    numerator = math.factorial(2 * n - 1)
    denominator = math.factorial(n) ** 2 * 2 ** (2 * n - 1)
    l = numerator / denominator
    larr = round(l,5)
    resultado.set(larr)
titulo = Label(text="Constante de Látorie-Robinson",
               font=("Arial", "15", "bold"),bg="#d9ead3",fg="#bf9000")
titulo.place(relx=0.15, rely=0.05)

texto_sub1= Label(text="Número de comparações necessárias :",
                    font=("Arial", "12", "bold"),bg="#d9ead3",fg="#bf9000")
texto_sub1.place(relx=0.1, rely=0.35)

numero = IntVar()
numero_entrada = Entry(textvariable=numero,
                             font=("Arial", "12", "bold"),
                             bg="white", fg="blue", justify='center')
numero_entrada.place(relx=0.75, rely=0.35, relwidth=0.15)

but1 = Button(text="Calcular", bd=2, bg='#107db2', fg='white',
              font=('verdana', 12, 'bold'), command=app)
but1.place(relx=0.25, rely=0.5, relwidth=0.25, relheight=0.15)
but_limpar = Button(text="Limpar", bd=2, bg='#107db2', fg='white',
                    font=('verdana', 12, 'bold'), command=limpar)
but_limpar.place(relx=0.55, rely=0.5, relwidth=0.25, relheight=0.15)
texto_sub2= Label(text="Valor da constante de Látorie-Robinson",
                    font=("Arial", "11", "bold"),bg="#d9ead3",fg="#bf9000")
texto_sub2.place(relx=0.05, rely=0.75)

resultado = StringVar()
resultado_area = Label(textvariable=resultado,
                           font=("Arial", 12, "bold"), bg="#f0f8ff")
resultado_area.place(relx=0.65, rely=0.75, relwidth=0.3)
menubar = Menu(root)
file = Menu(menubar, tearoff = 0)
menubar.add_cascade(label ='Opções', menu = file)
file.add_command(label='Sair', command=root.destroy)
root.config(menu = menubar)
root.mainloop()