import unittest


def check_constants(x, y, z, s0, t0, s1, t1):
    assert 1 <= x <= 10**9
    assert 1 <= y <= 10**9
    assert 1 <= z <= 10 ** 9
    if s0 == 'A':
        assert 1 <= t0 <= x
    elif s0 == 'B':
        assert 1 <= t0 <= y
    elif s0 == 'C':
        assert 1 <= t0 <= z
    else:
        assert False, 'unreachable'
    if s1 == 'A':
        assert 1 <= t1 <= x
    elif s1 == 'B':
        assert 1 <= t1 <= y
    elif s1 == 'C':
        assert 1 <= t1 <= z
    else:
        assert False, 'unreachable'


def get_route_length(route, x, y, z):
    if route == 'A':
        return x
    elif route == 'B':
        return y
    else:
        return z


def solve(x, y, z, s0, t0, s1, t1):
    min_cost = float('inf')
    if s0 == s1:
        min_cost = min(
            abs(t1 - t0),
            t0 + min(x, y, z) + get_route_length(s1, x, y, z) - t1
        )
    else:
        min_cost = min(
            t0 + t1 - 1,
            get_route_length(s0, x, y, z) - t0 +
            get_route_length(s1, x, y, z) - t1 + 1,
            t0 + min(x, y, z) + get_route_length(s1, x, y, z) - t1,
            t1 + min(x, y, z) + get_route_length(s0, x, y, z) - t0,
        )
    return min_cost


def main():
    x, y, z = map(int, input().split())
    s0, t0 = input().split()
    s1, t1 = input().split()
    t0 = int(t0)
    t1 = int(t1)
    check_constants(x, y, z, s0, t0, s1, t1)
    result = solve(x, y, z, s0, t0, s1, t1)
    print(result)


class Test3084(unittest.TestCase):
    def test3084(self):
        self.assertEqual(solve(3, 4, 5, 'A', 1, 'B', 1), 1)
        self.assertEqual(solve(3, 4, 5, 'C', 5, 'C', 2), 3)
        self.assertEqual(solve(5, 1, 5, 'A', 1, 'C', 5), 2)
        self.assertEqual(solve(10, 100, 1000, 'A', 1, 'C', 5), 5)
        self.assertEqual(solve(10, 100, 1000, 'A', 1, 'C', 995), 15)
        self.assertEqual(solve(10, 1, 1000, 'A', 10, 'C', 5), 6)
        self.assertEqual(solve(10, 1, 1000, 'A', 1, 'C', 995), 7)


if __name__ == "__main__":
    # unittest.main()
    main()