🏵5ea1

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crypto1-Ancient Recall

路边一条一脚踹死（迫真

1. 逆向Fortune_wheel变换：题目中通过250次Fortune_wheel变换生成最终数值。我们需要逆向这一过程，将最终数值还原为初始的Value数组。

2. 处理反转和大阿尔卡那牌：根据初始Value数组，确定每张牌的名称和是否反转，以生成正确的FLAG。

Major_Arcana = ["The Fool", "The Magician", "The High Priestess","The Empress", "The Emperor", "The Hierophant","The Lovers", "The Chariot", "Strength","The Hermit", "Wheel of Fortune", "Justice","The Hanged Man", "Death", "Temperance","The Devil", "The Tower", "The Star","The Moon", "The Sun", "Judgement","The World"]
wands = ["Ace of Wands", "Two of Wands", "Three of Wands", "Four of Wands", "Five of Wands", "Six of Wands", "Seven of Wands", "Eight of Wands", "Nine of Wands", "Ten of Wands", "Page of Wands", "Knight of Wands", "Queen of Wands", "King of Wands"]
cups = ["Ace of Cups", "Two of Cups", "Three of Cups", "Four of Cups", "Five of Cups", "Six of Cups", "Seven of Cups", "Eight of Cups", "Nine of Cups", "Ten of Cups", "Page of Cups", "Knight of Cups", "Queen of Cups", "King of Cups"]
swords = ["Ace of Swords", "Two of Swords", "Three of Swords", "Four of Swords", "Five of Swords", "Six of Swords", "Seven of Swords", "Eight of Swords", "Nine of Swords", "Ten of Swords", "Page of Swords", "Knight of Swords", "Queen of Swords", "King of Swords"]
pentacles = ["Ace of Pentacles", "Two of Pentacles", "Three of Pentacles", "Four of Pentacles", "Five of Pentacles", "Six of Pentacles", "Seven of Pentacles", "Eight of Pentacles", "Nine of Pentacles", "Ten of Pentacles", "Page of Pentacles", "Knight of Pentacles", "Queen of Pentacles", "King of Pentacles"]
Minor_Arcana = wands + cups + swords + pentacles
tarot = Major_Arcana + Minor_Arcana

def reverse_fortune(current):
    a, b, c, d, e = current
    sum_current = a + b + c + d + e
    if sum_current % 2 != 0:
        raise ValueError("Sum is odd, no solution")
    v1 = (a + b - c + d - e) // 2
    v0 = a - v1
    v4 = e - v0
    v3 = d - v4
    v2 = c - v3
    return [v0, v1, v2, v3, v4]

final_values = [
    2532951952066291774890498369114195917240794704918210520571067085311474675019,
    2532951952066291774890327666074100357898023013105443178881294700381509795270,
    2532951952066291774890554459287276604903130315859258544173068376967072335730,
    2532951952066291774890865328241532885391510162611534514014409174284299139015,
    2532951952066291774890830662608134156017946376309989934175833913921142609334
]

current = final_values.copy()
for _ in range(250):
    current = reverse_fortune(current)

def get_card(v):
    major_indices = set(range(22))
    index0 = v
    index1 = v ^ (-1)
    candidates = []
    if index0 in major_indices:
        candidates.append((index0, False))
    if index1 in major_indices:
        candidates.append((index1, True))
    if len(candidates) == 1:
        index, reversed_flag = candidates[0]
        card = Major_Arcana[index]
        return f"re-{card}" if reversed_flag else card
    else:
        return tarot[v % len(tarot)]

cards = [get_card(v).replace(' ', '_') for v in current]
flag = f'hgame{{{"&".join(cards)}}}'
print(flag)

hgame{re-The_Moon&re-The_Sun&Judgement&re-Temperance&Six_of_Cups}

猜你想找： DeepSeek关键词 帮我写脚本解决这个ctf 密码问题

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crypto2-Intergalactic Bound

参考文献：
https://ctf.bugku.com/writeup/detail/id/1348.html
https://yunru-volknet.github.io/posts/2024%E7%BE%8A%E5%9F%8E%E6%9D%AF/

整个代码直接喂给ai...

关键词：泰特 - 海德曲线（Tate-Hyde Curve）
如果直接去搜这个曲线，最终就会搜到上面那个博客，不过我在复现的时候发现了一个更加抽象的方法

直接搜索TH-curve，也会给出这个博客，可能是因为这道题目本身就叫这个名字

有了参考文章就好做了，把人家的exp拿下来，然后做一下修改就好

1. 借助两点方程解出a

p = 55099055368053948610276786301
Gx = 19663446762962927633037926740
Gy = 35074412430915656071777015320
Qx = 26805137673536635825884330180
Qy = 26376833112609309475951186883
# 计算系数 A
Qx_cubed = pow(Qx, 3, p)
term1 = (Qx_cubed * Gx) % p
term1 = (term1 * Gy) % p

Gx_cubed = pow(Gx, 3, p)
term2_part = (Gx_cubed * Qx) % p
term2 = (term2_part * Qy) % p

A = (term1 - term2) % p

# 计算 B
Qy_cubed = pow(Qy, 3, p)
term3 = (Qy_cubed + 1) % p
term3_total = (Gx * Gy) % p
term3_total = (term3_total * term3) % p

Gy_cubed = pow(Gy, 3, p)
term4 = (Gy_cubed + 1) % p
term4_part = (Qx * Qy) % p
term4_total = (term4_part * term4) % p

B = (term3_total - term4_total) % p

# 求 a
if A != 0:
    inv_A = pow(A, p-2, p)  # 费马小定理求逆元
    a = (-B * inv_A) % p
    print(a)
else:
    print("A is zero, cannot compute a")

得到a=39081810733380615260725035189
2. 此时参数已经足够我们去调用脚本了，所以直接用sage脚本

from Crypto.Util.number import *

p = 10297529403524403127640670200603184608844065065952536889
a = 2
P = (8879931045098533901543131944615620692971716807984752065, 4106024239449946134453673742202491320614591684229547464)
Q = (6784278627340957151283066249316785477882888190582875173, 6078603759966354224428976716568980670702790051879661797)
d = (a * Q[0] ** 3 + Q[1] ** 3 + 1) * inverse(Q[0] * Q[1], p) % p

R.<x,y,z> = Zmod(p)[]
cubic = 2 * x^3 + y^3 + z^3 - d*x*y*z
E = EllipticCurve_from_cubic(cubic,morphism=True)
P = E(P)
Q = E(Q)
P_ord = P.order()

def Pohlig_Hellman(n,P,Q):
    factors, exponents = zip(*factor(n))
    primes = [factors[i] ^ exponents[i] for i in range(len(factors))][:-1]
    print(primes)
    dlogs = []
    for fac in primes:
        t = int(int(P.order()) // int(fac))
        dlog = discrete_log(t*Q,t*P,operation="+")
        dlogs += [dlog]
        print("factor: "+str(fac)+", Discrete Log: "+str(dlog)) #calculates discrete logarithm for each prime order
    num2 = crt(dlogs,primes)
    return num2

num2 = Pohlig_Hellman(P_ord,P,Q)
print(long_to_bytes(num2))

求解得到x=2633177798829352921583206736
3. 最终按照task中的逻辑解密，求得flag

import hashlib
from Crypto.Util.number import *
from Crypto.Cipher import AES
from Crypto.Util.Padding import unpad

# 给定的 x 值
x = 2633177798829352921583206736

print(x)

# 计算 SHA-256 哈希值作为密钥
key = hashlib.sha256(str(x).encode()).digest()

# 给定的密文
ciphertext = b"k\xe8\xbe\x94\x9e\xfc\xe2\x9e\x97\xe5\xf3\x04'\x8f\xb2\x01T\x06\x88\x04\xeb3Jl\xdd Pk$\x00:\xf5"

# 创建 AES 解密器
cipher = AES.new(key, AES.MODE_ECB)

# 解密密文
decrypted_data = cipher.decrypt(ciphertext)

# 去除填充
#flag = unpad(decrypted_data, 16)

# 输出解密后的 flag
print(decrypted_data)

hgame{N0th1ng_bu7_up_Up_UP!}

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crypto3-SPiCa

参考资料：
https://0xffff.one/d/2077
https://tanglee.top/2023/12/25/2023-NCTF-Crypto-Writeups/
https://tanglee.top/2023/12/12/Orthogonal-Lattice-Attack/#%E9%9A%90%E8%97%8F%E5%AD%90%E9%9B%86%E5%92%8C%E9%97%AE%E9%A2%98
https://tangcuxiaojikuai.xyz/post/a02848e0.html

找了一圈发现是隐子集和问题（HSSP）

那就是要找那个01矩阵，脚本开梭

但是由于抄来的脚本解出来是直接一个大整数，后来发现是sum值，且改成矩阵后仍然不是01阵，检查后发现两个阵在脚本中的顺序对调了，实际要输出第一个阵即可

#h = x * A , x,h为GF上的向量，已知h
#HSSP问题
'''
w=vG
 ，其中 w,v
 为 GF(p)
 上的向量，G
 为01矩阵（gij∈{0,1}
），已知 w
，恢复矩阵 G
。

求解算法 Nguyen-Stern Algorithm，使用 orthogonal lattice 实现。
'''

from Crypto.Util.number import *

#Zmod(M): xA = B (x is binary Matrix)
B = (20469155492003601253253155553986803208931503654660710348720234166881649344003987262947017659012241047835048808070655285602897209239858740637878468266658899337230431317158339301884716019022543563824842749256770110913729930512649260804, 20061197539347089441548703718074268696982927733926399966893938885418017706383655096958576679109275153818455164325651467862757293092935593603331322600268652102317484783972009137643693799482954597365244794142123800753823881292602536480, 20449460766608148327819595887200586456206801278670684512632410913015490167503229582572274670752456522031099839096710051732743590814126659553219421423179332067697185796944680381658040503559588413035145948011713429631258754626251809510, 8694899395827009396141425992800033658778511870582271935710336140733986029271840480988700276909069199154936459475590420059851372448080387583101099303513327440738409895238607476203278712316251695883695113189088200686962847017765865251, 17498906738048927737996405866022970301450352038432120213930838838210038594926299429345553642022023354628862755091766856471553830387207275486875845428629363403317202957206875712023311105409026776222751170693634497194866213310044491948, 21299762658878585689792741107233334119508283391034542047533549461069861697448477916998731369486958411519583373650555867155855962437320409451328328158651213135213221691391305300586647640883613895924445303848945011091274872544725674414, 13858127090108368287746753156610976181884852029313352847097417269439999009242391680724254761571841185603751824488440165104153860614293879561204207753769517496283139692448618313378608851838592204671380865578837501521485226960295757131, 606107901015597672365982103377292862084693785965621044158858796689187941648736569096576321682310287031175045717941165527209428043020224184139162372752993919547870816012630061403517257290792929118011920477984972488980800309428929138, 16411347559169875469676322308290176281268630976465248631394286269278754960475346068565041099592979349979405282500383230219337689652572250821233598049978719348544790979587439571926076421698781802827344619141310395216702580071924399522, 6068129514673183503857587322729184998437772152551135658369680702133087671031996497962264049216246290631119377494262423727768860757742407967523061034172791840869912562774945606863954031992955819024967183759253919768822212999747782744, 16164073883659743891300469301841345466013040331496294498459841128458772221808605865298982279094019325297165362518613472961615756988375470180863560145427159107654477630571820179272488975849163426474631458599008988483395281798203200528, 6002652834833034433754084876025091748505356485760658745433173659340361267044983148952514860044218624345794714339893198968695437915359546317081144940354972707822464098838782671025813140852500245911841467802762732970205945777188441808, 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9045856550177265391220629158731617749010212836864098283122546582777883404294009743353817729777617793271710052997379493755741026807844934814727246295235951284912102541728263662595501946149955917048457614526081296501462068421827852976, 6459798973338438966900179181532933692034227569421041783473328776170587260589076396376191246924415837088205177319039971420829034696713874472602132191625410039341612568435551413702295547566220164641447295285720082107354915094875081603, 18130944169824976249131646693653229887900178060915303504243600146230275474872733740668972937137157219543732643704650107251416696945179838232545698726143250813322229855629104391962459755248646534545048139897036809559137651958948270079, 19433961868269193358322214141454667980688775311251629909509283331435001571001860372018368696521955762539089964314003195187700700564577856756527331858387859373880454698968805785663462845204498347648129595364259940616740397244612865478, 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23200293260215743474524683129751336070441250470963131048954888782126750470082228197816325916628408311922916070082220789486560209004492220118951431198612457889003386630810956350904331757934144293620423858054842692246457187748735062656, 12185058234910532038606592923943044720835384475056406568591532299474530796146503312961639492038042022391680648709583314649821462809663154713418981695840590138378051933292810301094804670835915971975595283960175012458013597273267021942, 11221105904027102766755866944349650081668300046041215931102172400146372526930032156540201468901690818353993076628146864056758574315777576911062494908066762717748155624173988281018555785467232120361958052665957065342986661851276430394, 14146479366643851658329966290610820831402901507964825251479961487541976561960526129163043068554159234344763780262866371744837633699714330248498751352953049997609901897424160840833140698818737335558582310519215832295749211043181569006, 1996209659684880945362862072520668750990547266260431838906384808543405104055069952622618300300584240886900690277630290717169515463002827197894865638271520372178286783553830032501282265213469285397161533556619830350317766403742420992, 18745628006242526136845741349836299919853199739283471770759301677399688289987875667803750091491715203157411890157519643639106751973250183741642640909721507627190884945027790857100678267316925707699884380178101491613670302697083954620, 19418124148220580953761208919068176633948651831328159315391336734636206569887918413082885761812646760978293757398100953133069513030393015847333774689093510445461709841109234535067235898760285824847288504459882411280759715216659582800, 5205682801846809078199714774495380248428185583858806868224581963484209052697538736798790170636398029956181045671089079103657022469597301960581764542974628895184611312183649377529274963873896667201796079779944709584465505596525070672, 23318768639095847871012848772328512763678546109012363992365106641654912272868317312950662675004405062658308032988874110659096548795362930763210615993811303468541570030170160830706399273680692451111580339813777985874728526448601728258, 17663789897713399391329553205656192714527376624862805232162724262629896080514601476156211759120575400809873039830798687701631183863013915733500151932198747020557039729241833096695716114234461112493415456068786767133227958219632605915, 6830010105417894382101110089036680793557109559922111774917409457675491199721642329811584508061936118348231576993991198201242451125213981421233318599225362440072543796138016876550674700452496965047853603139044680407212592626251990309, 20884460900376572824292657271126142123485873790799680755215209134586191820305715480424778276376315900396541154319924699294552460109641193882916333508408848926700539891286011495861364148628583978468945538773985039022758906702197824639, 13531065912700180655643696503956611973995564881435960456381267408672878851671401491817614667804495339344405932207053507762953305764605332944268933111663238888239497791369102852051383458023784915387358708364653218605556527945192953446, 2553816611900270571668114455889943878175117814334437639644905418648197398024478749479929249928897268004570330988939190446533589567173538978234848074204808696098346906993745527874980173125711310145943264700663446068878853419141256703, 7702946127422572691818763664478853337162137782960611620730689560076482803756508559755597150108497423141643340665369251108221062530372412417632117367040091322406174387044200677890005382248858884236589435161310662150368144113087162028, 856622736471280804557194626008729500444312593564382589268324938301776962060843602449805587925812237957752880785112568949132663694077910582967771689119118364920441406196093341412299290918890444268129746265100558792934176787213952281, 13085724187735251902990250756196209600908652053725281294139610919151379144531851103633380912533710102796299853358725400239404987942390816511761529807030939893292168306351094697881403177421950694992263386572648775597583744415784239571, 7100689265695650020381992634740648600984998939714583113848881850701106459614914817851311196581107346332066792064189719153254177748385971715393193581611667136269465698799421805822480100454812068626009149069638986161533799798537549504, 4467099588802620474242283665232546701197788121100881304650783900944358367934303538647332945119694362849091301355005436291078223280753310654713741596387831313076907729367513905299597582977894859084467382251110232442313588731567517722, 5473046296972118327495477534670327059922805992783858593704621531789283121351554409848948934507912406403962506436068909023098369828879491079777608783858939477692990976926108359125684410236904067532064874993279097186185155662101906258, 13591367045303817756921606989622272393926672486200768156018816106702906007663207108105253090224421463114966486892454772900918694500736413865138170304122425783415795355698366106633741954984452451151018930441346568620455282531777867950, 12837435207992697390990569032560187426481997222586386722777778699242138971828789676884863577995903428553893241998604229610814215105950418432582043279620338868532002049158799146484208974875466555076583060832418045530228962180626040480, 7316640175294137713314869727957150382096738798129711776743606346914726499175960701433782404417244551378443800105185050713536694756151112399465628411989410218214135853671061537891268154389537857467508049690878544281069813159134447208, 5151376884557358987102680932801796401429637582605742653829100435795121709703076330975777361528309737649265350014534395043422641886613936452263244119523616000835976669901180725907500239783554884160601160568746329677044574260523365548, 5544576622940386549335576865087877596617926099466042134500548634035376720895126959440244093852186422501431889949044217654362265128303553015621478863491100875988057958166746762260378217552569885430432535094758534858841379918068187007, 14799083878004905781143009556442469081112262413659889639288955718256084634190461545010854679353463115437573577978160713007284612958005397981521383647283702964407693130299777274799243953236030640570493768398572551239990227306733506160, 132844788313325827023495191003662944917431930932901448945118978538428738126330451739237066558502122063099809045229187297346109539648216961234175022847902983869276754945800449898074085412283494856067025963252580204722767954611258179, 9997725379291207116745319316287400946107564644091980910563413554119585263470477093970564227161564056288461504072778119028907789906500076760472149102049287538406258735529830965640424425566731939511108199132607994947515509428756592559, 14646376958061531925518831995658673407931262101501970446265549357832773749183019186120219286620900718201222809743448147362429133751090137661872964022623647740154174784462365444772177633656555414706757146904500779085225231797377050144, 16961346690251629621986345424487239681148326635080182277543308482323385918405862092823934592459138523058683934777987371593649364181974320355468882733898473293716092586268920136699107300230769779047091693711423641803330962855097096925, 2618594245402239609420638325588710628729298505557767536783081437084561636188823448848608313088279895767614513680617644960939796227640357345879653043764575378231433481016175403223796690453962090038403036583909367766156025584252164203, 16129071855649587728956130797915283397821444682369014639788931828703405001025452386772618008541361124591860437269977673096643234091339097919538256670714042876788038021148787313041232229195101391115617710413115586617903468179658293636, 9296460193370583816070265591004199836116409032475859821958373154648206416256688852532615798871909770401306092671009539709487113538354105710364096048695663733075506988691991440779198012260316123759636997605427235081435477049705160552, 1356766159480311231046092117641588893355352105595481615726950290176811339998878309107970938869998059989877968402614403581962019949583734460209881480875822282448127936842922015950977040552638984243226561237288675211033594559512352433, 19197695297715405687227248527900901092786200526800375602428770624109373871809940359427277921210632597272639018938714964263079621574904896862536158251668755864087715415463131002786745060027810126535070270462254705453473599741763642828, 11504919294119244522634617029097854228866432223952020614427505589799731544252763714133524362716131837287869956783968056158486948361614604723869397483955281379172665969413312233383788159684735115665749332738234882920695449340309379522, 18136748881313347797489256490303008973958797121502583070872297973410283357173931060145003395290313809639159364452878423212404968100529416632370960280991488248897643385077173546644657216962479904853980225967792378564740955618790869689, 22555443333166977522691347301347007560400051480503434282172981846969595435546624498334336147388425749569732805395419970503066627849315134643618856767862223712319227590572187001545137380352712433069385477809940371396279834624165048444, 19332410102472644041731759226399070707013106727087481077728390364392367890410961009071561108596168685943298518353047413086954964804844094391018967334543408778135737715163542892702469367908397906585577557910294555212057020330243744038, 17177417284468945229490862308619539417109492506914913062877431832846296734201442477935598961820079857431068892933310664489209467455843404117024994948398426037991145460135427180175565761835499766689618253941365562391662494080561342044, 879611534766674063001632328710680301710464497091520920338941691285492779988149399177086528073474651179894297281827841186309099576047175634809922453338033325127493237666384356566986210156156953604218009901589731044248652021118031620, 23901207038202622707599557245612794049853792927287360450027492049407851837113641371314557090659548570609882944974639719117613653182109642059819516444307658547936689472901123537159776992389462316392381501838566991389570490374017025518, 7294655103119575652652322286451546582028529239995283561722077129773315845389577738996103704019032108880990669128684769525902413906863125164280686381766699292160785541839733876768365575818004233647829515890263347139003166333882303265, 8199949148068603717078157517861527127346508355755818050198576663971835822831527608360661637977726638149791394376076411543777469889828576151097728735193348069053034445800818498132875303434000618724830859612380606691308333135184789022, 12932127055873709636118977200718753643697619875736929170699115793566554057840448101626698069421491300195262169693063575726920790612681778762496689371363586507749098405216335541209813518577176560833970043581650697105699549343835699165, 9917293893368177421397475427602509319278773672321383411846980082270699518174858223780569843589979834443168760567064326549648560205061679870738748816216468066517782541276129041173215780179108422815701857032247139868407259633376154559, 6485828831888305306081814677813540588127941945945034779245913009780868830245510314875533356179894354966906340154886875373143060627077170845158967404313883218225671724777853809740370308868692781589580666606866945869996719967294318732, 19119951246631217104039346142695133667127595492295413599863780403588391811741379549048868909966290463800864082020118315313386877862668618823502190910178365164478013264098319748585627290011516370646420391829298524728641913535537536764, 13215772369693604102761934975932281069170694713655356522695565074039936506383846119163879883348265869353744569056003177315023138985010016601208933546975222998897707503967398686672700803569601825514347043442257463097499547507964305449, 1824804736849693701490461807874708098331129810367417218087931080176315035870555627969047286436604549231593492189121553958901210913466534815129733115561941853007429568739121822292088591127010504328963864942012956577043433126898293277, 6776240363305734174388141780584391816477723528084755437932934198907331150157541368203589425111306785868566064140117304971940704620271781717831300158164114203169466745769627304177491937036545708540956189334174616021603617610568750468)
M = 24727704801291912268835129736340977567569865784366882566681759917843647658060231409536848349518003784121914409876944135933654762801696486121844572452922377222301017649192408619831637530961997845860817966791811403512683444831050730277
n = 70
m = 247

######################################### part1 solve Orthogonal Lattice of B
if(1):
    BL = block_matrix(ZZ,[
        [M,0],
        [Matrix(ZZ,B).T,1]
    ])
    OL = BL.LLL()
    OL = Matrix(ZZ,OL[:m-n,1:])


######################################### part2 find kernel and reduce
Ker = OL.right_kernel().matrix()
Ker = Ker.BKZ()


######################################### part3 recover binary x(use greedy methods)
def check(v):
    if(all(i == 1 or i == 0 for i in v)):
        return v
    elif(all(i == -1 or i == 0 for i in v)):
        return -v

def find(Ker,x):
    x = [i for i in ini]
    while(1):
        for vi in x:
            for i in Ker:
                xi1 = check(i + vi)
                xi2 = check(i - vi)
                if xi1 and xi1 not in x:
                    x.append(xi1)
                    if(len(x) == n):
                        return Matrix(ZZ,x)
                if xi2 and xi2 not in x:
                    x.append(xi2)
                    if(len(x) == n):
                        return Matrix(ZZ,x)

ini = [check(vi) for vi in Ker if check(vi)]
x = find(Ker,ini)

print(x)

解得01阵，借助该阵求解flag（一行一行对照）
下面是该阵

[1 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 0 0 1 0 1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1]
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[0 1 0 1 1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 0 0 1 0 1]
[1 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 1 1 1 0]
[1 1 0 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 1 0]
[1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1]
[0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 1 0 0 0]
[1 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1]
[0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0]

写文件读取解决

def read_matrix_and_convert(file_path):
    results = []
    with open(file_path, 'r') as file:
        for line in file:
            # 去除行首尾的方括号和空格
            line = line.strip(' []')
            # 将字符串按空格分割得到二进制数字符串列表
            binary_str_list = line.split()
            # 将二进制数字符串连接成一个大的二进制字符串
            binary_str = ''.join(binary_str_list)[:-1]
            # 将二进制字符串转换为字节对象，这里要注意字节序和填充问题
            byte_data = int(binary_str, 2).to_bytes((len(binary_str) + 7) // 8, byteorder='big')
            # 将字节对象转换为整数
            results.append(byte_data)
    return results


file_path = 'enc.txt'
result = read_matrix_and_convert(file_path)
for value in result:
    print(value)

hgame{U_f0und_3he_5pec14l_0n3!}

---

misc1-Invest in hints

小破题我直接跟你爆了

HINT.count('1')==len(hint)

hint = [
    'aAug5MkyAzq6Dr2mCALwmH',
    'AuYMk9CKay2q9NCADLEwH42',
    'k99C7r0gSKaAi91Nxu2mAm4}',
    'hgag5YkACir0QKA9lCumDdH',
    'mMk3ACi7SCWyAq3C5wda42',
    '{AuYoACLQa2zq3i691hNlCxrALma42',
    'megk9CiLrKWyAqi9hN8rELm}',
    'e{uYMkfo9i7L0gSCKWy3t69DNCbmDLH',
    'hm5Y9AL0gCaWy2zq6xRmCLEwdHa42}']
len_hint = 9
binary_strings = [
    "00001100101001111010000000010010001110100000000000000000001101111000100",
    "01101000111011000000000101000100001001101100000000010010001110011000000",
    "10100100000001011000110001001101000010001101011101010110001000000000000",
    "00001010000010010000100110000100000010000100101100111000001011100000111",
    "01110010100100100000000000000000011010110011000001111000101100000001000",
    "01110100001001000010010111101111011101001000100010011001000010011100000",
    "10000101010000000011000001100101001010110100000110110010001000100011000",
    "00000111101000001001000001100100100000110000110000101000001101110100000",
    "01001101001001000000001001001110100000000000001011000100010000101010101",
    "10010010100110011011100010011001100100100001110010010101001000100001111",
    "01001000100011000001000000000011010001110001000000101100001000100010100",
    "00101000010000111000101110000010001000000001000111100010001101001001101",
    "01000010111010000000010100001010001011000100100010000000000000001000000",
    "01110110110011000000010000011000000010000000000000111000000010000010001",
    "01100000000011000110000000010001000000000011001100000110010001011010000",
    "01110011001000101001100001011000011010000001100010100000011010000001000",
    "00111011000011000000100100101000100100101000010001100111001000100001000",
    "01000110010101011100110101110010001111100011010000000101010100000010010",
    "11111010111000110100010000000010001101111010011010001100000011000001001",
    "00000010110101100100100011001011011001100000100010011111000011000001101",
    "00001100001110101000010111001100011100100010011100001010000000001000010",
    "01100000000011001001011100000101000110111000101100010101111000001010100",
    "00001000001010010000001101010110110000110111011011100101011110010110000",
    "01010010100000000111011110001000010110100001000111001101010100000010000",
    "11010000011000010100001010000111011010100001111010100100100000111110110"
]

flag=['0' for i in range(len("11010000011000010100001010000111011010100001111010100100100000111110110"))]

def select(n,flag):
    
    if n==len_hint:
        print(''.join(flag))
        return 
    flag_bag=[]
    for i in binary_strings:
        if i.count('1')==len(hint[n]):
            flag_bag = flag[:]
            HINT = i[::-1]
            x=-1
            save = True
            for j in range(len(flag)):
                if HINT[j]=='1':
                    x += 1
                    if flag[j]!=hint[n][x] and flag[j]!='0':
                        save = False
                    flag[j] = hint[n][x]
            if save:
                select(n+1,flag)
            flag = flag_bag[:]

select(0,flag)

写个搜索直接爆出来了
关键：一一对应，倒序

hgame{Aug5YMkf3o99ACi7Lr0gQSCKaWy2Azq3ti691DhNlCbxu8rR2mCAD5LEwLdmHa42}

---

misc3-Computer cleaner plus

想看一眼执行了什么进程，所以ps，top，history打一遍，给ps加个权限就能打出来

hgame{backdoor怎么写的忘了}

---

re1-Signin

先正常做一遍，附加调试，发现delta一直是0，做了个xxtea

感觉不对，反复找delta的修改，发现delta必须为0

解一次xxtea，无果

汇编一步步调试，发现有反调试，所以手动修改反调试寄存器跳过

得到新的key

代入脚本中解决

#include <stdio.h>
#include <stdint.h>
#define DELTA 0x9e3779b9
#define MX (((z>>5^y<<2) + (y>>3^z<<4)) ^ ((sum^y) + (key[(p&3)^e] ^ z)))
 
void btea(unsigned int *v, int n, unsigned int key[4])
{
    unsigned int y, z, sum;
    unsigned int p, rounds, e;
        rounds = 11;
        sum = 0;
        y = v[0];
        do
        {
            e = (sum >> 2) & 3;
            for (p=n-1; p>0; p--)
            {
                z = v[p-1];
                y = v[p] -= MX;
            }
            z = v[n-1];
            y = v[0] -= MX;
        }
        while (--rounds);
    
}
 
 
int main()
{
    unsigned char key_1[] =
{
  0xB5, 0x5F, 0xA2, 0x97, 0xBA, 0x6D, 0x75, 0xE1, 0x4A, 0x46, 
  0x43, 0xA1, 0x4F, 0x28, 0x8F, 0x5A
};
	unsigned char enc[] =
{
  0x23, 0xEA, 0x50, 0x30, 0x00, 0x4C, 0x51, 0x47, 0xEE, 0x9C, 
  0x76, 0x2B, 0xD5, 0xE6, 0x94, 0x17, 0xED, 0x2B, 0xE4, 0xB3, 
  0xCB, 0x36, 0xD5, 0x61, 0xC0, 0xC2, 0xA0, 0x7C, 0xFE, 0x67, 
  0xD7, 0x5E, 0xAF, 0xE0, 0x79, 0xC5
};
	unsigned int *key=(unsigned int *)key_1;
    int n= 9; 
    btea((unsigned int *)enc, n, key);
    for(int i=0;i<36;i++)
    {
    	printf("%c",enc[i]);
	}
    return 0;
}

hgame{3fe4722c-1dbf-43b7-8659-c1c4a0e42e4d}

---

re5-Nop'd

先玩一遍小游戏，第一次认为是目标是玩通，所以patch了很多代码块，借助受伤机制把血量堆成了int的最大值，跑通了20轮，但是发现还是没出结果
后面再看启动器部分，虽然题目说他只是一个启动器，但是看起来他有做了一些加密解密过程，可能flag在这里产出
根据提示，关注题目中的nop指令，发现多字节nop指令要满足下面几个条件

1. 首位为48/49
2. 中间三位为0F1F44
3. 最后两位任意

这是一种基于nop的信息传输机制，若首位为48，则读取栈上数据，否则则读取给定的寄存器中的数据
由此可知，在game大量调用这一nop指令，实际上是在与launcher进行数据传输

再次观察，发现代码中输出文字的部分拥有三个nop，而凡是进行修改血量的部分（如受伤，击败怪物等），都进行了5个nop，那么在段首的4个nop的两个数据就显得比较可疑了（不过这些是分析启动器后才得知的）

分析启动器，由上面的对nop的分析，可以找到一用于判定是否为nop指令的代码块，那么这些代码块就是用于对nop信息传输指令的读取和判定，并各自跳到不同的逻辑中

这一点可以在另一系列看起来像加密函数的函数头上使用交叉引用，会回到这一函数中，从而推断

分析这些代码，得知是chacha20算法

这段汇编代码实现的是Chacha20加密算法中的一轮（或部分轮次）操作，具体执行了Quarter Round步骤，对状态矩阵进行混淆和扩散。以下是关键步骤的分析：
1. 初始加载与加法：
movdqa xmm0, [rsp+68h+var_58] 将状态变量加载到xmm0。
paddd xmm3, [rsp+68h+var_68] 对状态变量进行模加操作（类似Chacha20的a += b）。
2. 异或与循环移位：
pxor xmm1, [rsp+68h+var_38] 执行异或操作（如d ^= a）。
通过组合psrld（逻辑右移）和pslld（逻辑左移）实现循环左移：
移位数分别为16、12、8、7位，与Chacha20的循环左移参数一致。
3.状态更新与存储：
每个步骤更新对应的状态变量（如xmm3、xmm2、xmm1、xmm0），并通过movaps将结果存回栈中，准备下一轮操作。

再结合上面的思考，得知chacha20的key和norce就是最早在程序头的两句话，各自截取需要的部分，而明文就是输入的flag

再跟着找，一直找到game的末尾，找到了一段可疑的汇编代码，分析

1. 数据处理循环部分
asm
.text:0000000000002247                 movzx   edx, byte ptr [rax]
.text:000000000000224A                 xor     dl, [r12]
.text:000000000000224E                 xor     ebp, edx
.text:0000000000002250                 mov     [rax], bpl
.text:0000000000002253                 add     rax, 1
.text:0000000000002257                 add     r12, 1
.text:000000000000225B                 cmp     rax, rcx
.text:000000000000225E                 jnz     short loc_2247
movzx edx, byte ptr [rax]：将rax指向的内存地址中的一个字节数据零扩展到edx寄存器。
xor dl, [r12]：将dl（edx的低 8 位）与r12指向的内存地址中的一个字节数据进行异或操作。
xor ebp, edx：将ebp与edx进行异或操作。
mov [rax], bpl：将bpl（ebp的低 8 位）写回到rax指向的内存地址。
add rax, 1 和 add r12, 1：分别将rax和r12的值加 1，指向下一个字节。
cmp rax, rcx：比较rax和rcx的值。
jnz short loc_2247：如果不相等（ZF = 0），则跳转到loc_2247继续循环。

发现有一个比较和一个异或加密，这个就是最后的判断环节了，再从下面两处拿到数据，就能解出flag

#include<stdio.h>
int main()
{
	unsigned char enc[] =
{
  	0x2e,0x03,0x0b,0x3d,0x72,0xfa,0x39,0x5c,0x74,0xb6,0xd0,0xc6,0x6c,0x70,0x2e,0x9b,0xbd,0x95,0x06,0xaa,0x5c,0x36,0x23,0xf1,0xe8,0xdd,0x10,0xe4,0x6a,0x0b,0xd3,0x53,0x9e,0x1a,0x8f,0x7e,0x80,0x18,0x47,0x7e,0xba,0xf8,0x4a,0x0c,0x59,0xb1,0x18,0x19,0xb8,0x9d,0xad
};
	unsigned char enc_1[] = 
{
	0x64, 0x6A, 0x50, 0x17, 0x81, 0x7D, 0x6F, 0x1A, 0x87, 0xB1,  
  	0xA4, 0x00, 0x09, 0x03, 0xF8, 0x8D, 0xF8, 0x6B, 0xDF, 0x32, 
 	0x5F, 0x40, 0x90, 0x9C, 0xB8, 0x3D, 0x86, 0x13, 0x26, 0xB7, 
 	0x63, 0xF7, 0x74, 0xE8, 0x53, 0xED, 0x58, 0x20, 0x4F, 0xD9, 
 	0x99, 0x26, 0x21, 0x37, 0xDE, 0x35, 0x76, 0xC8, 0xBC, 0xD0, 
 	0x6E
};
	int x,y;
	for(int i=0;i<51;i++)
	{
		enc[i]^=enc_1[i-1];
	}
	printf("%s",enc);
	return 0;
}

解出来.game{D3n1ably-c0mmunicate-by-d0ing-m@g1cal-no-op!}，无伤大雅，（因为原文设置了一个开始值，但是我是凑出来的）

hgame{D3n1ably-c0mmunicate-by-d0ing-m@g1cal-no-op!}