from sys import stdin
from math import *
import re

data = stdin.readlines()
path = data[-1]
data = [list(line.strip('\n')) for line in data[:-2]]

area = len([c for c in sum(data, start=[]) if not c.isspace()])
sideLen = int(sqrt(area / 6))

def dot(a, b):
    assert len(a) == len(b)
    return sum([i*j for i,j in zip(a, b)])

def matmul(a, b):
    # matrix storage is flipped
    # that is - [[1,2,3]] is a column vector
    if type(b) == list:
        # matrix * matrix
        assert len(a) == len(b[0])
        m = [[0] * len(a[0]) for _ in b]
        for i in range(len(m[0])):
            for j in range(len(m)):
                m[j][i] = dot(b[j], [col[i] for col in a])
        return m
    else:
        # matrix * scalar
        return [[n * b for n in col] for col in a]

def matadd(a, b):
    assert len(a) == len(b)
    assert len(a[0]) == len(b[0])
    m = [[0] * len(a[0]) for _ in a]
    for i in range(len(m[0])):
        for j in range(len(m)):
            m[j][i] = a[j][i] + b[j][i]
    return m

def only(a):
    assert len(a) == 1
    return a[0]

def gen3Drots():
    # base, 3 axis
    rots = [[[0, 1, 0],
             [-1, 0, 0],
             [0, 0, 1]],
            [[0, 0, 1],
             [0, 1, 0],
             [-1, 0, 0]],
            [[1, 0, 0],
             [0, 0, 1],
             [0, -1, 0]]]

    # gen flipped
    rots2 = []
    for rot in rots:
        rots2.append(rot)
        rots2.append(matmul(matmul(rot, rot), rot))

    # ensure they're proper rotations
    for rot in rots2:
        rot2 = rot
        for _ in range(4):
            rot2 = matmul(rot, rot2)
        assert rot == rot2
    return rots2

rots = gen3Drots()

# vertexes of each face's corners
# the edge (wall[f]; wall[f+1]) is the edge towards facing f
wall = [[[ 1, -1, 1]],
        [[ 1,  1, 1]],
        [[-1,  1, 1]],
        [[-1, -1, 1]]]

def step(wall, f):
    def edge(f):
        v1 = wall[f%4]
        v2 = wall[(f+1)%4]
        return matmul(matadd(v1, v2), 0.5)
    shared = edge(f) # the shared edge
    prev = edge(f+2) # the edge opposite to shared; will become shared after rot

    rot = only([rot for rot in rots if matmul(rot, prev) == shared])
    wall = [matmul(rot, v) for v in wall]
    return rot, wall

# generate projections from face of 3d cube to 2d square
def genProjs():
    from itertools import permutations
    projs = []
    for a in [-1, 1]:
        for b in [-1, 1]:
            base = [[a, 0], [0, b], [0, 0]]
            for p in permutations(base):
                p = list(p)
                projs.append(p)
    return projs
projs = genProjs()

def planestep(x, y, f):
    x += [1, 0, -1, 0][f]
    y += [0, 1, 0, -1][f]
    if not 0 <= y < len(data): return None
    if not 0 <= x < len(data[y]): return None
    if data[y][x].isspace(): return None
    return (x, y, f)

def cubestep(x, y, f):
    if planestep(x, y, f) != None: return planestep(x, y, f)

    bwall = [[[ 1, -1, 1]],
             [[ 1,  1, 1]],
             [[-1,  1, 1]],
             [[-1, -1, 1]]]
    def edge(wall, f):
        v1 = wall[f%4]
        v2 = wall[(f+1)%4]
        return matmul(matadd(v1, v2), 0.5)

    shared = edge(bwall, f)
    visited = set()
    def rec(bx, by, bwall):
        nonlocal visited
        visited.add((bx, by))
        for f in range(4):
            wx = bx + [1, 0, -1, 0][f] * sideLen
            wy = by + [0, 1, 0, -1][f] * sideLen
            if (wx, wy) in visited: continue
            if not 0 <= wy < len(data): continue
            if not 0 <= wx < len(data[wy]): continue
            if data[wy][wx].isspace(): continue
            visited.add((wx, wy))

            _, wall = step(bwall, f)
            for f in range(4):
                e = edge(wall, f)
                if e == shared:
                    return (wx, wy, wall)
            r = rec(wx, wy, wall)
            if r != None:
                return r
    wx, wy, wall = rec(x, y, bwall)

    # bwall is the base face, wall is the face we move to

    # wx, wy are some coordinates inside of the face - convert to upleft corner
    wx = wx // sideLen * sideLen
    wy = wy // sideLen * sideLen

    # find the correct projection from cube space to input space
    def isGoodProj(p):
        for vid in range(4):
            v1 = matmul(p, wall[vid])
            v2 = [bwall[vid][0][:2]]
            if v1 != v2: return False
        return True
    proj = only([p for p in projs if isGoodProj(p)])

    # coordinates in the wall before rotation
    bx = (x + [1, 0, -1, 0][f]) % sideLen
    by = (y + [0, 1, 0, -1][f]) % sideLen

    # vertex on starting face of cube
    v = [[bx - (sideLen-1)/2, by - (sideLen-1)/2, 1]]

    # rotate to new face
    rot, _ = step(bwall, f)
    v = matmul(rot, v)

    # project to input space
    v = matmul(proj, v)
    v = [[int(f + (sideLen+1)/2) - 1 for f in v[0]]] # wall coords


    # find new facing
    # shared - old facing relative to original wall
    dv = matmul(proj, matmul(rot, shared))
    def dvToFacing(dv):
        for f in range(4):
            dx = [1, 0, -1, 0][f]
            dy = [0, 1, 0, -1][f]
            if dv[0][0] == dx and dv[0][1] == dy:
                return f
        raise "fuck"

    return wx + v[0][0], wy + v[0][1], dvToFacing(dv)

def vis():
    for line in data:
        print(''.join(line))

def move(x, y, f, d):
    for _ in range(d):
        nx, ny, nf = cubestep(x, y, f)
        if data[ny][nx] == '#':
            break
        data[y][x] = ">v<^"[f]
        x, y, f = nx, ny, nf
    return x, y, f

def partTwo():
    x = data[0].index('.')
    y = 0
    f = 0
    for c in re.findall("\d+|[A-Z]", path):
        if c == 'L': f = (f - 1) % 4
        elif c == 'R': f = (f + 1) % 4
        else:
            x, y, f = move(x, y, f, int(c))
    return (y+1) * 1000 + (x+1) * 4 + f

print(partTwo())