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Add Wither's gists as references (#137)
* Add Wither's gists as references * remove broken ones --------- Co-authored-by: WitherOrNot <damemem@gmail.com>
This commit is contained in:
TheTank20
GitHub
267
extras/wsrv_x64_lh_act.ipynb
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267
extras/wsrv_x64_lh_act.ipynb
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{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 22,
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"metadata": {},
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"outputs": [],
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"source": [
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"# From Longhorn 4074\n",
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"# Any version that accepts TCP8W-T8PQJ-WWRRH-QH76C-99FBW will work\n",
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"key_data = {\n",
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" \"p\": 7181106593102322766813520532476531209871483588988471009176871145241389568314039093657656718839885029493125387894856821599452867350054864568294961595970889,\n",
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" \"a\": 1,\n",
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" \"b\": 0,\n",
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" \"B\": [\n",
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" 520282615406607935808830413235837609227529008118239433194891765554084261177667142590192616462797266047427714603514505726507565809100858610756034340614180,\n",
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" 4557046395510954851157569206449480560848332315791566919607580280750304632075435589109908909351625686398512699199297926705742962219032991805095344264722444\n",
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" ],\n",
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" \"K\": [\n",
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" 1748427561645745685508888890965804844329037567281415535239953290167653001827496844268667372126127464466687812723744919132659150838866693283679107969476861,\n",
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" 6808711632346399211426562555523956018872055718394662707289722207520029794097689415773036615424757895159410496488301598927496012713658489637493990459415502\n",
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" ],\n",
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" \"order\": 4633201844252750473,\n",
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" \"private_key\": 4329540238250287790\n",
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"}"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Product Key Generator, run above cell first"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 30,
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"metadata": {
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"scrolled": true
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"10928323 10928323 2003509697754295848 6615195716181683752\n",
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"868186915 868186915 878552257861989116 5490238276289377020\n",
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"446954708 446954708 776512975037445878 776512975037445878\n",
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"353785506 353785506 1772257197849916146 6383943216277304050\n",
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"1598465793 1598465793 385978941068063200 4997664959495451104\n",
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"1118655069 1118655069 374356218385227934 374356218385227934\n",
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"52 531faff484f609e 42ad525d d2\n",
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"CH89R-TPQRK-GPJMW-7KTYQ-F8PJD\n"
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]
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}
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],
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"source": [
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"import hashlib\n",
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"\n",
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"# p = order of field Fp\n",
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"# Fp = Galois field of order p\n",
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"# E = Elliptic curve y^2 = x^3 + ax + b over Fp\n",
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"# B = generator on E\n",
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"# K = inverse of public key\n",
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"# order = order of E\n",
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"# Ro = Ring Z/orderZ\n",
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"\n",
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"p = key_data[\"p\"]\n",
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"Fp = GF(p)\n",
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"E = EllipticCurve(Fp, [0, 0, 0, key_data[\"a\"], key_data[\"b\"]])\n",
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"B = E.point(key_data[\"B\"])\n",
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"K = E.point(key_data[\"K\"])\n",
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"order = key_data[\"order\"]\n",
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"Ro = Integers(order)\n",
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"private_key = -key_data[\"private_key\"] % order\n",
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"\n",
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"# OS Family of product key\n",
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"# x64 VLK - 652\n",
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"# x64 Retail - 306\n",
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"os_family = 105\n",
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"\n",
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"# Key alphabet\n",
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"KCHARS = \"BCDFGHJKMPQRTVWXY2346789\"\n",
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"\n",
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"def int_to_bytes(n, l=None):\n",
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" n = int(n)\n",
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" \n",
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" if not l:\n",
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" l = (n.bit_length() + 7) // 8\n",
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" \n",
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" return n.to_bytes(l, byteorder=\"little\")\n",
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"\n",
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"def encode_pkey(n):\n",
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" out = \"\"\n",
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" \n",
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" for i in range(25):\n",
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" out = KCHARS[n % 24] + out\n",
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" n //= 24\n",
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" \n",
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" out = \"-\".join([out[i:i+5] for i in range(0, len(out), 5)])\n",
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" return out\n",
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"\n",
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"os_family <<= 1\n",
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"\n",
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"while True:\n",
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" k = getrandbits(512)\n",
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" prefix = getrandbits(32) & 0x3ff\n",
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" \n",
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" r = k * B\n",
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" x, y = r.xy()\n",
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"\n",
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" mde = hashlib.sha1(b\"\\x79\" + int_to_bytes(os_family, 2) + int_to_bytes(x, 64) + int_to_bytes(y, 64)).digest()\n",
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" e = int.from_bytes(mde[:4], byteorder=\"little\")\n",
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" e &= 0x7fffffff\n",
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" \n",
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" mdh = hashlib.sha1(b\"\\x5d\" + int_to_bytes(os_family, 2) + int_to_bytes(e, 4) + int_to_bytes(prefix, 4)).digest()\n",
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" h1 = int.from_bytes(mdh[:4], byteorder=\"little\")\n",
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" h2 = int.from_bytes(mdh[4:8], byteorder=\"little\") >> 2\n",
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" h2 &= 0x3fffffff\n",
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" h = h2 << 32 | h1\n",
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" b = Ro(-h * private_key)\n",
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" \n",
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" try:\n",
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" s = Ro(b)\n",
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" s = int((-b + sqrt(b^2 + 4 * Ro(k))) / 2)\n",
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" except:\n",
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" continue\n",
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" \n",
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" if s % 2 == 1:\n",
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" s += order\n",
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" \n",
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" if (s * (s * B + h * K)) != (s * (s * B + int(b) * B)):\n",
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" continue\n",
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" \n",
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" raw_pkey = prefix << 104 | s << 42 | e << 11 | os_family\n",
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" \n",
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" print((raw_pkey >> 11) & 0x7fffffff, e, (raw_pkey >> 42) & 0x3fffffffffffffff, s)\n",
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" \n",
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" # I could fix whatever bug made this necessary, but it works so I don't care\n",
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" if ((raw_pkey >> 11) & 0x7fffffff) != e or ((raw_pkey >> 42) & 0x3fffffffffffffff) != s:\n",
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" continue\n",
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" \n",
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" if (raw_pkey >> 32) & 0xffffffff < 0x40000000:\n",
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" break\n",
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"\n",
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"print(hex(prefix)[2:], hex(s)[2:], hex(e)[2:], hex(os_family)[2:])\n",
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"print(encode_pkey(raw_pkey))\n",
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"pkey = encode_pkey(raw_pkey)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Product Key Verifier (must run above cell first)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 29,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Product Key (dashes optional): TCP8W-T8PQJ-WWRRH-QH76C-99FBW\n",
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"TCP8W-T8PQJ-WWRRH-QH76C-99FBW\n",
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"318 3e550ae1709773d8 6674d45a ce\n",
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"f0ce4281d7695e3\n",
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"110001100011111001010101000010101110000101110000100101110111001111011000110011001110100110101000101101000011001110\n",
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"110001100011111001010101000010101110000101110000100101110111001111011000110011001110100110101000101101000011001110\n",
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"1718932570 1718932570 True\n"
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]
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}
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],
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"source": [
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"def decode_pkey(k):\n",
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" k = k.replace(\"-\", \"\")\n",
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" out = 0\n",
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" \n",
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" for c in k:\n",
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" out *= 24\n",
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" out += KCHARS.index(c)\n",
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" \n",
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" return out\n",
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"\n",
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"pkey = input(\"Product Key (dashes optional): \")\n",
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"print(pkey)\n",
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"raw_key = decode_pkey(pkey)\n",
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"\n",
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"osf = raw_key & 0x7ff\n",
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"e = (raw_key >> 11) & 0x7fffffff\n",
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"s = (raw_key >> 42) & 0x3fffffffffffffff\n",
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"pf = (raw_key >> 104) & 0x3ff\n",
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"\n",
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"mdh = hashlib.sha1(b\"\\x5d\" + int_to_bytes(osf, 2) + int_to_bytes(e, 4) + int_to_bytes(pf, 4)).digest()\n",
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"h1 = int.from_bytes(mdh[:4], byteorder=\"little\")\n",
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"h2 = int.from_bytes(mdh[4:8], byteorder=\"little\") >> 2\n",
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"h2 &= 0x3fffffff\n",
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"h = h2 << 32 | h1\n",
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"\n",
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"print(hex(pf)[2:], hex(s)[2:], hex(e)[2:], hex(osf)[2:])\n",
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"print(hex(h)[2:])\n",
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"print(bin(raw_key)[2:])\n",
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"print(bin(pf << 104 | s << 42 | e << 11 | osf)[2:])\n",
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"\n",
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"v = s * (s * B + h * K)\n",
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"x, y = v.xy()\n",
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"\n",
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"mde = hashlib.sha1(b\"\\x79\" + int_to_bytes(osf, 2) + int_to_bytes(x, 64) + int_to_bytes(y, 64)).digest()\n",
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"ep = int.from_bytes(mde[:4], byteorder=\"little\")\n",
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"ep &= 0x7fffffff\n",
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"\n",
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"print(e, ep, e == ep)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 28,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"71"
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]
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},
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"execution_count": 28,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"0x8e/2"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": []
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "SageMath 9.0",
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"language": "sage",
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"name": "sagemath"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.8.10"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 4
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}
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