#!/usr/bin/env python3
# -*- coding: utf-8 -*-


import sys
import os
import math
import socket
from typing import List, Tuple


def fib_fast(n: int) -> int:
    def f(k: int) -> Tuple[int, int]:
        if k == 0:
            return (0, 1)
        a, b = f(k >> 1)
        c = a * (2 * b - a)
        d = a * a + b * b
        if k & 1:
            return (d, c + d)
        else:
            return (c, d)
    return f(n)[0]


def arith_sum(a: int, b: int, s: int) -> int:

    n = (b - a) // s + 1
    return n * (a + b) // 2


def integral_poly(a: int, b: int, coeff: List[int]) -> int:

    res = 0
    for k, c in enumerate(coeff):
        e = k + 1
        if c % e != 0:
            raise ValueError("Non-integer term encountered; protocol assumption violated")
        ce = c // e
        res += ce * (pow(b, e) - pow(a, e))
    return res


def eval_expr(expr: str) -> int:
    t = expr.strip().split()
    if not t:
        raise ValueError("Empty expression")
    op = t[0]

    def i(x: str) -> int:
        return int(x)

    if op == "plus":
        return i(t[1]) + i(t[2])
    if op == "minus":
        return i(t[1]) - i(t[2])
    if op == "times":
        return i(t[1]) * i(t[2])
    if op == "div":
        a, b = i(t[1]), i(t[2])
        return a // b
    if op == "mod":
        a, b = i(t[1]), i(t[2])
        return a % b
    if op == "pow":
        a, b = i(t[1]), i(t[2])
        return pow(a, b)
    if op == "sqrt":
        a = i(t[1])
        r = math.isqrt(a)
        return r
    if op == "abs":
        return abs(i(t[1]))
    if op == "fact":
        return math.factorial(i(t[1]))
    if op == "gcd":
        return math.gcd(i(t[1]), i(t[2]))
    if op == "lcm":
        a, b = i(t[1]), i(t[2])
        g = math.gcd(a, b)
        return a // g * b
    if op == "det2":
        a, b, c, d = i(t[1]), i(t[2]), i(t[3]), i(t[4])
        return a * d - b * c
    if op == "det3":
        a, b, c = i(t[1]), i(t[2]), i(t[3])
        d, e, f = i(t[4]), i(t[5]), i(t[6])
        g, h, j = i(t[7]), i(t[8]), i(t[9])
        return a * (e * j - f * h) - b * (d * j - f * g) + c * (d * h - e * g)
    if op == "sum":
        if t[3] != "step":
            raise ValueError("Expected 'step' in sum expression")
        a, b, s = i(t[1]), i(t[2]), i(t[4])
        return arith_sum(a, b, s)
    if op == "fib":
        return fib_fast(i(t[1]))
    if op == "lin1":
        a, b, c = i(t[1]), i(t[2]), i(t[3])
        return (c - b) // a
    if op == "lin2x":
        a1, b1, c1, a2, b2, c2 = i(t[1]), i(t[2]), i(t[3]), i(t[4]), i(t[5]), i(t[6])
        D = a1 * b2 - a2 * b1
        return (c1 * b2 - c2 * b1) // D
    if op == "lin2y":
        a1, b1, c1, a2, b2, c2 = i(t[1]), i(t[2]), i(t[3]), i(t[4]), i(t[5]), i(t[6])
        D = a1 * b2 - a2 * b1
        return (a1 * c2 - a2 * c1) // D
    if op == "integral":
        a, b = i(t[1]), i(t[2])
        if t[3] != "poly":
            raise ValueError("Expected 'poly' in integral expression")
        coeff = list(map(int, t[4:]))
        return integral_poly(a, b, coeff)

    raise ValueError(f"Unknown operator: {op}")


def run(host: str, port: int):
    with socket.create_connection((host, port)) as sock:
        sock_file = sock.makefile("rwb", buffering=0)
        pending = None  # (expr_str, answer)
        while True:
            line = sock_file.readline()
            if not line:
                break
            try:
                s = line.decode().rstrip("\r\n")
            except Exception:
                continue
            print(f"[SRV] {s}")

            if s.startswith("Task ") and ":" in s:
                try:
                    expr = s.split(":", 1)[1].strip()
                except Exception:
                    expr = ""
                ans = eval_expr(expr)
                pending = (expr, ans)
                print(f"[SOLVE] {expr} => {ans}")
                continue

            if s.strip().startswith(">") and pending is not None:
                print(f"[SEND] {pending[1]}")
                ans_bytes = str(pending[1]).encode() + b"\n"
                sock_file.write(ans_bytes)
                sock_file.flush()
                pending = None
                continue

            if "Here is your flag:" in s or s.endswith("Bye."):
                print(s)
                continue


def main():
    host = sys.argv[1] if len(sys.argv) >= 2 else os.getenv("HOST", "127.0.0.1")
    port = int(sys.argv[2]) if len(sys.argv) >= 3 else int(os.getenv("PORT", "5000"))
    run(host, port)


if __name__ == "__main__":
    main()