# position implementation

class TwoDUtils:
    mappings = {
            'a': 0,
            'b': 1,
            'c': 2,
            'd': 3,
            'e': 4,
            'f': 5,
            'g': 6,
            'h': 7,
            'i': 8,
    }
    reverse = {i[1]:i[0] for i in mappings.items()}
    def __init__(self):
        pass

class TwoDPos:
    g = 0
    l = 1
    def __init__(self, mode, param):
        if mode == TwoDPos.g:
            self.pos = (
                    TwoDUtils.mappings[param[0]],
                    int(param[1]) - 1,
            )
        elif mode == TwoDPos.l:
            self.pos = (
                    param[0] * 3 + param[2],
                    param[1] * 3 + param[3] + 1,
            )

    def glob(self):
        ret = []
        ret.append(TwoDUtils.reverse[self.pos[0]])
        ret.append(str(self.pos[1] + 1))

        return ''.join(ret)

    def local(self):
        subboard = (
                int(self.pos[0] / 3),
                int(self.pos[1] / 3),
        )

        localpos = (
                self.pos[0] % 3,
                self.pos[1] % 3,
        )

        return (subboard[0], subboard[1], localpos[0], localpos[1])