# -*- coding: utf-8 -*-
import math
w, d = [int(i) for i in input().split()]
x0, y0 = [int(i) for i in input().split()]
x1, y1 = [int(i) for i in input().split()]
string = input()
L = string.count('L')
print(L)
R = string.count('R')
F = string.count('F')
B = string.count('B')

"""

    По оси oX

"""
width = 0
kx = L + R - 1
if kx < 0:
    kx = 0
if L == 0 and R == 0:
    width = x0 - x1
elif L > R:
    width = x0 + x1 + w*kxky
elif L == R:
    if string.find('L') < string.find('R'):
        width = x0 + (w - x1) + w*kx
    elif string.find('R') < string.find('L'):
        width = (w - x0) + x1 + w*kx
elif R > L:
    width = (w - x0) + (w - x1) + w*kx


"""

    По оси oY

"""
height = 0
ky = F + B - 1
if ky < 0:
    ky = 0
if F == 0 and B == 0:
    height = y0 - y1

if F > B:
    height = y0 + y1 + d*ky
elif F == B:
    if string.find('F') < string.find('B'):
        height = y0 + (d - y1) + d*ky
    elif string.find('B') < string.find('F'):
        height = (d - y0) + y1 + d*ky
elif B > F:
    height = (d - y0) + (d - y1) + d*ky
result = math.sqrt(height**2 + width**2)
print(round(result, 4))