from pwn import *

from math import ceil, sqrt
import sys

def run():
    r = remote("crypto.be.ax", 6000)
    try:
        g = int(r.recvline().decode().split(":")[1])
        print("g", g)
        p = int(r.recvline().decode().split(":")[1])
        print("p", p)
        enc = int(r.recvline().decode().split(":")[1])
        print("enc", enc)

        position = 504
        top_bits = 0

        while True:
            r.recvuntil("number> ")
            r.sendline(str(2**position))
            h = int(r.recvline().decode())
            for i in range(256):
                if pow(g, (top_bits << 8) | i, p) == h:
                    sys.stdout.write(chr(i))
                    top_bits = (top_bits << 8) | i
                    position -= 8
                    break
            else:
                raise Exception('char not found')
    finally:
        r.close()

if __name__ == "__main__":
    run()