# -*- 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')
R = string.count('R')
F = string.count('F')
B = string.count('B')

"""

    По оси oX

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


"""

    По оси oY

"""
if F == 0 and B == 0:
    height = y0 - y1
elif string.index('F') < string.index('B'):
    if F > B:
        height = y0 + y1 + d*(F + B - 1)
    elif F == B:
        height = y0 + (d - y1) + d*(F + B - 1)
elif string.index('B') < string.index('F'):
    if B > F:
        height = (d - y0) + (d - y1) + d*(F + B - 1)
    elif B == F:
        height = (d - y0) + y1 + d*(F + B - 1)
result = math.sqrt(height**2 + width**2)
print(round(result, 4))