from math import *

def f(x, y):
    return (x - x * x) * y

def t1(x, y):
    return 3 - y - x

def t2(x, y):
    return y - y * x

def t3(x, y):
    return (y - y * y) * x

def f1(x, u, v):
    return cos(u + 1.1 * v) + 2.1

def f2(x, u, v):
    return 1.1 / (x + 2.1 * u * u) + x + 1

def rut2(x0, y_past, h, n, f):
    print("ROOT2")
    for i in range(n):
        x_past = x0 + i * h
        x_now = x0 + (i + 1) * h
        f_past = f(x_past, y_past)
        y_now = y_past + (f_past + f(x_now, y_past + f_past * h)) * h / 2
        print(x_now, y_now)
        y_past = y_now


def rut2_sys(x0, u_past, v_past, h, n):
    print("ROOT2_SYS")
    for i in range(n):
        x_past = x0 + i * h
        x_now = x0 + (i + 1) * h
        fu = u_past + f1(x_past, u_past, v_past) * h
        fv = v_past + f2(x_past, u_past, v_past) * h
        u_now = u_past + (f1(x_past, u_past, v_past) + f1(x_now, fu, fv)) * h / 2
        v_now = v_past + (f2(x_past, u_past, v_past) + f2(x_now, fu, fv)) * h / 2
        print(x_now, u_now, v_now)
        u_past = u_now
        v_past = v_now

def rut4(x0, y_past, h, n, f):
    print("ROOT4")
    for i in range(n):
        x_past = x0 + i * h
        x_now = x0 + (i + 1) * h
        k1 = h * f(x_past, y_past)
        k2 = h * f(x_past + h / 2, y_past + k1 / 2)
        k3 = h * f(x_past + h / 2, y_past + k2 / 2)
        k4 = h * f(x_past + h, y_past + k3)
        y_now = y_past + (k1 + 2 * k2 + 2 * k3 + k4) / 6
        print(x_now, y_now)
        y_past = y_now


def rut4_sys(x0, u_past, v_past, h, n):
    print("ROOT4_SYS")
    for i in range(n):
        x_past = x0 + i * h
        x_now = x0 + (i + 1) * h
        k1 = h * f1(x_past, u_past, v_past)
        l1 = h * f2(x_past, u_past, v_past)
        k2 = h * f1(x_past + h / 2, u_past + k1 / 2, v_past + l1 / 2)
        l2 = h * f2(x_past + h / 2, u_past + k1 / 2, v_past + l1 / 2)
        k3 = h * f1(x_past + h / 2, u_past + k2 / 2, v_past + l2 / 2)
        l3 = h * f2(x_past + h / 2, u_past + k2 / 2, v_past + l2 / 2)
        k4 = h * f1(x_past + h, u_past + k3, v_past + l3)
        l4 = h * f2(x_past + h, u_past + k3, v_past + l3)
        u_now = u_past + (k1 + 2 * k2 + 2 * k3 + k4) / 6
        v_now = v_past + (l1 + 2 * l2 + 2 * l3 + l4) / 6
        print(x_now, u_now, v_now)
        u_past = u_now
        v_past = v_now


n = int(input())
a, b = map(int, input().split())
el = input()
if (el == 'eq'):      #-eq
    num = input()
    x0 = 0
    y0 = 1
    h = (b - a) / n

    if (num == '2'):
        rut2(x0, y0, h, n, f)

    if (num == '4'):
        rut4(x0, y0, h, n, f)

if (el == 'sys'):      #-sys
    num = input()
    x0 = 0
    y10 = 1
    y20 = 1
    h = (b - a) / n

    if (num == '4'):
        rut4_sys(x0, y10, y20, h, n)
    if (num == '2'):
        rut2_sys(x0, y10, y20, h, n)


if (el == 'test'):     #-test
    h = (b - a) / n
    rut2(0, 0, h, n, t1)
    print("\n")
    rut4(0, 0, h, n, t1)
    print("\n")
    rut2(0, 5, h, n, t2)
    print("\n")
    rut4(0, 5, h, n, t2)
    print("\n")
    rut2(0, 3, h, n, t3)
    print("\n")
    rut4(0, 3, h, n, t3)