# -*- coding: utf-8 -*-

import heapq


class Tuple:
    def __init__(self, cost, y, x, dir):
        self.cost = cost
        self.y = y
        self.x = x
        self.dir = dir

    def __str__(self):
        return "y=" + str(self.y) + " : " + "x=" + str(self.x) + " : " + "dir=" + str(self.dir)


dir_x = [1, 0, -1, 0]
dir_y = [0, 1, 0, -1]


def solve():
    X, Y = map(int, raw_input().split())
    if X == 0 and Y == 0:
        return -1

    stage = [map(int, raw_input().split()) for _ in range(Y)]
    C = map(int, raw_input().split())

    costs = [[[float("inf") for _ in xrange(4)] for _ in xrange(X)] for _ in xrange(Y)]

    costs[0][0][0] = 0
    queue = []

    heapq.heappush(queue, Tuple(0, 0, 0, 0))

    while len(queue) > 0:

        current = heapq.heappop(queue)
        if costs[current.y][current.x][current.dir] < current.cost:
            continue

        for operation in range(4):
            if operation == 0:
                # ????????? ?????£??´?????????

                next_dir = current.dir
            elif operation == 1:
                # ????????? ??????

                next_dir = (current.dir + 1) % 4
            elif operation == 2:
                # ????????? ?????¢

                next_dir = (current.dir + 2) % 4
            else:
                # ????????? ??????

                next_dir = (current.dir + 3) % 4
            # ????????? ??´????????????????????¢?????????????????????????????????????????\???????????¢??????????????????????????§???????????????

            next_x = current.x + dir_x[next_dir]
            next_y = current.y + dir_y[next_dir]
            next_cost = costs[current.y][current.x][current.dir]
            if stage[current.y][current.x] != operation:
                next_cost += C[operation]
            if 0 <= next_x < X and 0 <= next_y < Y:
                if costs[next_y][next_x][next_dir] > next_cost:
                    costs[next_y][next_x][next_dir] = next_cost
                    data = Tuple(next_cost, next_y, next_x, next_dir)
                    heapq.heappush(queue, data)


    return min(costs[Y - 1][X - 1])

if __name__ == '__main__':
    while True:
        result = solve()
        if result < 0:
            break

        print result

### FIXED CODE ###

# -*- coding: utf-8 -*-

import heapq


class Tuple:
    def __init__(self, cost, y, x, dir):
        self.cost = cost
        self.y = y
        self.x = x
        self.dir = dir


    def __cmp__(self, other):
        return self.cost - other.cost


dir_x = [1, 0, -1, 0]
dir_y = [0, 1, 0, -1]


def solve():
    X, Y = map(int, raw_input().split())
    if X == 0 and Y == 0:
        return -1

    stage = [map(int, raw_input().split()) for _ in range(Y)]
    C = map(int, raw_input().split())

    costs = [[[float("inf") for _ in xrange(4)] for _ in xrange(X)] for _ in xrange(Y)]

    costs[0][0][0] = 0
    queue = []

    heapq.heappush(queue, Tuple(0, 0, 0, 0))

    while len(queue) > 0:

        current = heapq.heappop(queue)
        if costs[current.y][current.x][current.dir] < current.cost:
            continue

        for operation in range(4):
            if operation == 0:
                # ????????? ?????£??´?????????

                next_dir = current.dir
            elif operation == 1:
                # ????????? ??????

                next_dir = (current.dir + 1) % 4
            elif operation == 2:
                # ????????? ?????¢

                next_dir = (current.dir + 2) % 4
            else:
                # ????????? ??????

                next_dir = (current.dir + 3) % 4
            # ????????? ??´????????????????????¢?????????????????????????????????????????\???????????¢??????????????????????????§???????????????

            next_x = current.x + dir_x[next_dir]
            next_y = current.y + dir_y[next_dir]
            next_cost = costs[current.y][current.x][current.dir]
            if stage[current.y][current.x] != operation:
                next_cost += C[operation]
            if 0 <= next_x < X and 0 <= next_y < Y:
                if costs[next_y][next_x][next_dir] > next_cost:
                    costs[next_y][next_x][next_dir] = next_cost
                    data = Tuple(next_cost, next_y, next_x, next_dir)
                    heapq.heappush(queue, data)

    return min(costs[Y - 1][X - 1])


if __name__ == '__main__':
    while True:
        result = solve()
        if result < 0:
            break

        print result