#!/usr/bin/python3
import math
import numpy as np
import matplotlib.pyplot as plt

def f(x):
    return x**3+1

def qtrapn(f,a,b,N):
    dx=(b-a)/N
    xj = np.array([a+dx*i for i in range(N+1)])
    return dx/2*(f(xj[0])+f(xj[-1])+sum(2*f(xj[1:-1])))

for i in range(2,11):
    print(str(2**i)+ " " + str(qtrapn(f,0,2,2**i)))
