import math

triple_lim = 20
triple_list = []
conjecture = True

def genTriple(m, n):
    a = m*m - n*n
    b = 2*m*n
    triple_list.append((a, b))

def gcd(m,n):
    while n != 0:
        t = n
        n = m % n
        m = t
    return m

def lcm(x, y):
    a = x
    b = y
    while x != y:
        if x > y:
            y += b
        else:
            x += a
    return x

def genBrick(t1, t2):
    brickGenerated = []
    brickCount = 0
    for i in range(0,4):
        brickGenerated.append(False)

    ##gen brick with lcm(a1, a2)
    a1 = t1[0]
    b1 = t1[1]
    a2 = t2[0]
    b2 = t2[1]
    a = lcm(a1, a2)

    b1 *= a/a1
    a1 = a

    b2 *= a/a2
    a2 = a

    if math.sqrt(b1*b1 + b2*b2)%1 == 0:
        brickGenerated[0] = True
        print(a, b1, b2)
        brickCount += 1

    ##gen brick with lcm(b1, a2)
    a1 = t1[1]
    b1 = t1[0]
    a2 = t2[0]
    b2 = t2[1]
    a = lcm(a1, a2)

    b1 *= a/a1
    a1 = a

    b2 *= a/a2
    a2 = a

    if math.sqrt(b1*b1 + b2*b2)%1 == 0:
        brickGenerated[1] = True
        print(a, b1, b2)
        brickCount += 1

    ##gen brick with lcm(a1, b2)
    a1 = t1[0]
    b1 = t1[1]
    a2 = t2[1]
    b2 = t2[0]
    a = lcm(a1, a2)

    b1 *= a/a1
    a1 = a

    b2 *= a/a2
    a2 = a

    if math.sqrt(b1*b1 + b2*b2)%1 == 0:
        brickGenerated[2] = True
        print(a, b1, b2)
        brickCount += 1

    ##gen brick with lcm(b1, b2)
    a1 = t1[1]
    b1 = t1[0]
    a2 = t2[1]
    b2 = t2[0]
    a = lcm(a1, a2)

    b1 *= a/a1
    a1 = a

    b2 *= a/a2
    a2 = a

    if math.sqrt(b1*b1 + b2*b2)%1 == 0:
        brickGenerated[3] = True
        print(a, b1, b2)
        brickCount += 1

    if brickGenerated[0] != brickGenerated[3] or brickGenerated[1] != brickGenerated[2] or brickCount != (2 or 0):
        conjecture = False
for n in range(1,triple_lim):
    for m in range(n+1, triple_lim, 2):
        if gcd(m,n) == 1:
            genTriple(m,n)

for i in range(len(triple_list)):
    for j in range(i+1, len(triple_list)):
        genBrick(triple_list[i], triple_list[j])

if conjecture == False:
    print("Conjecture False")
else:
    print("Conjecture True")