class AdaptiveArithmeticCoder:
    FREQ_INIT = 1
    def __init__(self, character_space):
        self.character_space = character_space
        self.count = len(character_space)
        self.freqs = [ AdaptiveArithmeticCoder.FREQ_INIT ] * self.count
        self.intervals = [ None ] * self.count
        self.update_intervals((0, 1))

    def update_intervals(self, interval):
        a, b = interval
        last = a
        for i in range(len(self.freqs)):
            probability = self.freqs[i] / self.count * (b - a)
            self.intervals[i] = (last, last + probability)
            last = last + probability

    def encode(self, c):
        """Receives a character to encode. Updates the adaptive model."""
        index = self.character_space.index(c)
        self.freqs[index] += 1
        self.count += 1
        self.update_intervals(self.intervals[index])

    def current_interval(self):
        """Returns the current encoded file."""
        a = self.intervals[0][0]
        b = self.intervals[-1][1]
        return a, b

    def current(self):
        """Returns the current encoded file."""
        a, b = self.current_interval()
        return (a + b) / 2

    def current_binary(self):
        """Returns the current encoded file."""
        out_s = ""
        out = 0
        n = -1
        a, b = self.current_interval()
        while not a < out < b:
            if out + 2 ** n > b:
                out_s += "0"
            else:
                out += 2 ** n
                out_s += "1"

            n -= 1

        return out_s


if __name__ == '__main__':
    import fileinput
    import argparse
    import os

    parser = argparse.ArgumentParser(description='Dynamically encodes a string received through standard input.')
    parser.add_argument('-interval', action="store_true", help='Print the floating interval rather than the binary coding.')
    parser.add_argument('-character_space', type=str, required=True, help='All possible characters in the input. e.g. "ABCD".')

    args = parser.parse_args(Adaptive(args.character_space)
    for line in os.sys.stdin:
        line = line.rstrip('\n')
        for c in line:
            coder.encode(c)

    if (args.interval):
        print(coder.current_interval())
    else:
        print(coder.current_binary())