from pwn import *
import decimal

HOST = "130.192.5.212"
PORT = "6647"
server = remote(HOST,PORT)

n = int(server.recv(1024).strip())
c = int(server.recv(1024).strip())
e = 65537

def to_bytes(m,l=512):
    return int.to_bytes(m, l=n.bit_length(), byteorder='big')
def print_bounds(low, up):
    print("[" + str(low) + "," + str(up) + "]")
decimal.getcontext().prec = n.bit_length()
upper_bound = decimal.Decimal(n)
lower_bound = decimal.Decimal(0)
m = c
for i in range(n.bit_length()):
    m = (pow(2, e, n) * m) % n
    print(f"M:{m}")
    server.send(str(m))
    server.send(b'\n')
    bit = server.recv(1024)
    bit = int(bit)
    print(f"Bit:{bit}")
    if  bit == 1:
        lower_bound = (upper_bound + lower_bound) / 2
    else:
        upper_bound = (upper_bound + lower_bound) / 2
#lower_bound = 158107821233229568930984452875602183391823091373912004357129417626853988321867785934374974861174017194049484884
upper_bound = int(upper_bound)
print(f"UB:{upper_bound}")
print(upper_bound.to_bytes(n.bit_length(),'big').decode())