import math
def fel1():
    print("adjon meg a szog merteket:", end = "\n")
    a= float(input())
    rad = math.radians(a)
    print(rad)
#fel1()

def fel2():
    print("adjon meg egy radian merteket:",end="\n")
    a=float(input())
    print(math.degrees(a))
#fel2()

def fel3(a1,a2,h):
    T = ((a1+a2)/2)*h
    print(T)
#fel3(5,6,5)

def fel4(a,h):
    T = a*h
    print(T)
#fel4(5,6)

def fel5():
    print("Adjon meg egy szamot", end = "\n")
    a = int(input())
    sum = 0
    for i in range(1,a):
        if a % i == 0:
            sum = sum + i
    print(sum)
    return sum
#fel5()

def fel6():
    print("Adja meg az X koordinatait a 3D terben", end=" ")
    x1 = int(input())
    x2 = int(input())
    x3 = int(input())
    print("Adja meg az Y koordinatait a 3D terben", end=" ")
    y1 = int(input())
    y2 = int(input())
    y3 = int(input())
    tav = math.sqrt((x1-y1)**2+(x2-y2)**2+(x3-y3)**2)
    print(tav)
#fel6()

def fel7():
    print("Adja meg a ter dimenziojat:",end=" ")
    n = int(input())
    L = []
    K= []
    for i in range(2):
        print("Adja meg az ",i+1,"pont koordinatait",end="\n")
        for j in range(n):
            if i == 0:
                a = int(input())
                L.append(a)
            if i ==1:
                a = int(input())
                K.append(a)
    tav = 0
    for i in range(n):
        tav += (K[i]-L[i])**2
    print(math.sqrt(tav))

#fel7()
def fel8(L):
    L.reverse()
    print(L)
#fel8([1,2,3]
def fel9(bef1,bef2,atf):
    if atf**2 == bef1**2+bef2**2:
        print("Igaz")
        return True
    print("Hamis")
    return False
#fel9(3,4,5)
def fel10(x1,y1,x2,y2):
    print("Adja meg a pont kordinatait:",end="\n")
    x = int(input())
    y = int(input())
    if (x-x1) * (y2-y1) == (x2-x1)*(y-y1):
        print("Rajta van")
    else:
        print("Nincs rajta")
#fel10(2,3,3,4)
import matplotlib.pyplot as plt

def fel11(x,y):
    plt.plot(x,y,'ro')
    #plt.plot(x,y)
    plt.xlabel("X")
    plt.ylabel("Y")
    plt.title("D.K.R")
    plt.show()
#fel11([1,4],[8,1],)
import numpy as np
def fel12():
    fugv1 = np.arange(-4.,3,0.2)
    plt.xlabel("X")
    plt.ylabel("Y")
    plt.title("D.K.R")
    plt.plot(fugv1,fugv1,"r--",fugv1,fugv1**2,"bs",fugv1,fugv1**3,"g^")
    plt.show()
#fel12()

def fel13():
    x = np.arange(0, 4*np.pi, 0.1)
    y = np.sin(2*x)
    plt.plot(x,y)
    plt.show()

#fel13()
def fel14():
    k = np.sin(np.pi/6)
    print(round(k))
#fel14()

def fel15(L):
    Y = []
    a = len(L)
    e= 2.71
    for i in range(a):
        b = math.sin(L[i])+math.cos(L[i])
        nev = e**L[i]
        Y.append(b/nev)
    plt.plot(L,Y,"bs")
    plt.show()
#fel15([1,2,3])



def HF1():
    x = np.arange(-1,0,0.2)
    plt.plot(x,x+1)
    neg = np.arange(-2,-1,0.2)
    plt.plot(neg,neg+1,color = "red")
    plt.show()
#HF1()
def HF2():
    x = np.arange(0, 4 * np.pi, 0.1)
    y = np.sin(x)
    plt.plot(x, y)
    fugv1 = np.arange(-2,2,0.2)
    plt.plot(fugv1,fugv1**2-1,color = "red")
    plt.show()
#HF2()

def HF3():
    A = [1,3,2]
    B=  [1,1,2.73]
    plt.plot(A,B,"bs")
    plt.show()
#HF3()
def HF4():
    kor = plt.Circle((0,0),3,color="red",fill=False)
    fig, ax = plt.subplots()
    plt.xlim(-5, 5)
    plt.ylim(-5, 5)
    ax.set_aspect(1)

    ax.add_artist(kor)
    plt.show()
#HF4()


def HF5():
    x = np.arange(-1,1,0.1)
    L = []
    for num in x:
        L.append(math.log(num**2,math.e))
    plt.plot(x,L)
    plt.show()
#HF5()