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加密解密那点事 Introduction To Cryptography
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Letian Zhang
February 01, 2016
Programming
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加密解密那点事 Introduction To Cryptography
Letian Zhang
February 01, 2016
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Transcript
ࡆૡࢳૡପׄ൙ னϘመ Introduction To Cryptography
None
㎔⫈䜃 https://commons.wikimedia.org/wiki/File:Caesar3.svg
䜶壥㎔⫈䜃䖆㒻㯗 ✴ 䥹ᵀ ✴ 嫏枓℈㚒 https://commons.wikimedia.org/wiki/File:English-slf.png
https://commons.wikimedia.org/wiki/File:EnigmaMachineLabeled.jpg
'PKIOC https://en.wikipedia.org/wiki/Enigma_machine#Electrical_pathway
https://commons.wikimedia.org/wiki/File:Enigma_rotors_with_alphabet_rings.jpg
http://movie.douban.com/photos/photo/2255040496/
⫈䜃⩨俿ⴰㄓ᷂ᷮᵊ ✴ ở嫃弜ợ㘼⫈⼩ ✴ 攴㩤䫣㐻澱ở嫃㲊⽱⪎㑶 ✴ 嶭᷿媦嫃澱攴㩤Ḭ埇 ✴ 攴㩤ㆷ屘
⫈䜃⩨䖆⠩㯗⪟ ✴ ⫻䣲⫈䜃 ✴ 控⫈䜃 ✴ ≗⌓㑥ℙ㑲 ✴ 㲊⽱媦嫃䜃 ✴
㑲⩙䪀⌏ ✴ Ḭ斑㘼㑲䐡ㄒ╪
䦅⌮ 澭䣚⫈㯆㸑澮 䫣㐻 澭ợ⽱垭Ự㐻澮 Ḭ埇 澭Ḭ埇ㄒ䘡㩥䖆⋓弃伇澮 ⌨媦 澭ᶍ⌐䣲僬ⳳ㮣㘋澮 㘼⫈⼩ ⪎㑶⼩
媦嫃 ᴏ⋱⌨媦⼩ ⫻䣲⫈䜃 控⫈䜃 ≗⌓㑥ℙ㑲 㲊⽱媦嫃䜃 㑲⩙䪀⌏ ợ⽱⪋ㅂ晤ᴶ䖆⤃促 ⋙⤃促䖆䅻⼩ 䐪㙧ⶖ⫻䖆⫈䜃ㆂ㘱
ؓӫૡ Symmetric-key Cryptography
⫻䣲澭ᶭ澮⫈控↢⫈ 㔐㒉 ⫈㒉 ↢⫈䪙㯗 ⫈控
⸄ㄘ廒䪙 A B A⊕B A⊕B⊕B ❎ ❎ ❎ ❎ ❎
✅ ✅ ❎ ✅ ❎ ✅ ✅ ✅ ✅ ❎ ✅
ᴂ㨣⼩⫈䜃㘮 01000010 01100001 01101001 01100100 01110101 B a i d
u ⾲俒 㺙ꛬ 10000011 00111110 11110010 11010001 00011100 XOR 11000001 01011111 10011011 10110101 01101001 㺙俒
㱃⸑↢⫈⎎℈䷆↢⫈ ✴ 㱃⸑↢⫈澿䗶㊧⬈ᴂᴬ㔐㒉⋚㉤ᴼᴂᴬ⫈㒉 ✴ 4%ċ ✴ ℈䷆↢⫈澿⬈㔐㒉℈䷆澱ᴂ♙ᴂ♙☲↢⫈ ✴ #'5&'5+&'#$NQYHKUJċ
#'5 4KLPFCGN https://en.wikipedia.org/wiki/Advanced_Encryption_Standard
℈䷆㤣⸑ ✴ '%$澲䐷⩒⫈䜃㘮 ✴ %$%澲⫈䜃℈䷆搀㊧ ✴ %($澲⫈㒉⋏梊 ✴ 1($澲底⋏梊 ✴
%64澲媣㑲╪
'%$ ҂ေႨ https://en.wikipedia.org/wiki/Block_cipher_mode_of_operation
%$% https://en.wikipedia.org/wiki/Block_cipher_mode_of_operation
⬑㔐℈䷆㤣⸑濄 ℟⣍∘⌓惑 㔐㒉℈䷆ ↢⫈䪙㯗 ⫈㒉℈䷆ :14 㔐㒉℈䷆ ↢⫈䪙㯗 ⫈㒉℈䷆ :14
㔐㒉℈䷆ ↢⫈䪙㯗 ⫈㒉℈䷆ :14
%($ https://en.wikipedia.org/wiki/Block_cipher_mode_of_operation
1($ https://en.wikipedia.org/wiki/Block_cipher_mode_of_operation
%64 https://en.wikipedia.org/wiki/Block_cipher_mode_of_operation
⫻㱃⸑↢⫈⎎℈䷆↢⫈䖆㐽 ✴ 4GWUGFMG[CVVCEM澭㱃⸑↢⫈澮 ✴ $KVHNKRRKPICVVCEM澭㱃⸑↢⫈Ⱦ%$%㤣⸑澮 ✴ 2CFFKPIQTCENGCVVCEM澭%$%㤣⸑澮 ✴ 4GRNC[CVVCEM澭%($㤣⸑澮
㊪剒ẁ䐪 CBC ཛྷୗ CTR ཛྷୗ AES ᓒဩ
܄ᄂૡ Public-key Cryptography
壥₵⫈控℈⋓擰枚 ✴ ᶍ⁊弜廉⁸ᷘ弖⺆ᶭ⫈控 ✴ 弜廉⫈控℈⋓ᴯ⻅澭-G[&KUVTKDWVKQP%GPVGT澮 ✴ ẁ䐪&KHHKG*GNNOCP⫈控ᶦ㉤䪙㯗 ✴ ẁ䐪控⫈䜃
控↢⫈澱䣃控壥⫈ 㲊⽱⋓弃伇#NKEG 㲊⽱㊧㐸伇$QD $QD䖆控 $QD䖆䣃控 ť$QD䐡ㄒ僬ⳳ䖆⫈控⫻ Ŧ$QD⬈控⋓弃䷛#NKEG $QD䖆控 㔐㒉 ⫈㒉
↢⫈ $QD䖆 控 ŧ#NKEG䐪$QD䖆 控⫻㲊⽱廝坎↢⫈ Ũ#NKEG⬈⫈㒉⋓弃䷛$QD ⫈㒉 ⫈㒉 㔐㒉 壥⫈ $QD䖆 䣃控 ũ$QD䐪䣃控⫻⫈㒉 廝坎壥⫈
45#䪙㯗 ✴ ↢⫈澿㔐㒉 mod ✴ 壥⫈澿⫈㒉 mod ✴
控澿㑲⎎㑲 ✴ 䣃控澿㑲⎎㑲
䐡ㄒ⫈控⫻ ✴ 斑㘼䐡ㄒᴦᴬ尪㑲⎎澱ẁ=× ✴ 媣䪙−⎎−䖆㘂⬑Ἇ㑲澱媲Ṟ ✴ 弋ᴂᴬ⬑ᶐᴖᴐᶔ尪䖆㑲澱媲Ṟ ✴ 㭄澱ẁ⺙͓ (mod
)
ᵀᴬẍ⩒ ✴ =澱=澱ℛ=×= ✴ =(,)= ✴ ⋘=澱=澱㷣岵㙣᷸ ✴ Ὁ嫀㔐㒉ᴼ澱⫈㒉= =
✴ 壥⫈廉䤍ᴼ澿㔐㒉= =
⃯᷂ᵊ俿↢⫈濄 ✴ ◠枀ᴂᴍ澿控㔱⎎澱䣃控㔱⎎澱=× ✴ 㔐㒉濂⫈㒉 mod 澱㭄䖆㘮尪㔱㭄壥䢽㑥⫻㑲澱 Ṉ㔱㩦擰枚䗰⅏㮣㘋槚㑊䪙㯗澱⋬俿㖶↝䜶壥 ✴ ᴂ㓨俿᷐⋏㊪⎎澱⬳俿䪙澱≵壥⸂䣃控ȿ
䀸伎䗰⅏᷏㮣㘋⋓䊲⫻⠩㑶㑲廝坎尪◢㑲℈壥䖆槚㑊 䪙㯗
㳹⌊⫈䜃䯽䷡ ✴ ẁ䐪Ḭ斑㘼㑲䐡ㄒ╪䐡ㄒ⫻䣲⫈䜃ẁ䐪䖆⫈控 ✴ ẁ䐪⫻䣲⫈䜃↢⫈㲊⽱㘮ṕ ✴ ẁ䐪控⫈䜃↢⫈⫻䣲⫈䜃䖆⫈控 ✴ ⬈↢⫈䖆⫈控⎎↢⫈䖆㲊⽱ᴂ屹⋓弃
ᴯ擶ᶼ㐽 /CPKPVJGOKFFNGCVVCEM 㲊⽱⋓弃伇#NKEG 㲊⽱㊧㐸伇$QD $QD䖆控 $QD䖆䣃控 ť$QD䐡ㄒ僬ⳳ䖆⫈控⫻ Ŧ$QD⬈控⋓弃䷛#NKEG $QD䖆控 㔐㒉
⫈㒉 ↢⫈ $QD䖆 控 ŧ#NKEG䐪$QD䖆 控⫻㲊⽱廝坎↢⫈ Ũ#NKEG⬈⫈㒉⋓弃䷛$QD ⫈㒉 ⫈㒉 㔐㒉 壥⫈ $QD䖆 䣃控 ũ$QD䐪䣃控⫻⫈㒉 廝坎壥⫈ ͞ ∝ Ϊ
⫻䣲⫈䜃XU控⫈䜃 ⫻䣲⫈䜃 控⫈䜃 ⋓弃伇 䐪ᶭ⫈控↢⫈ 䐪控↢⫈ ㊧⋙伇 䐪ᶭ⫈控壥⫈ 䐪䣃控壥⫈ ⫈控℈⋓擰枚
⩚☪ ᴏ⩚☪澱Ṉ㔱控昂境 ⋨⠘媦嫃 㘼⫈⼩ ✅ ✅
ֆཟਙݦඔ One-way Hash Function
≗⌓㑥ℙ㑲䖆⼩尪 ✴ 㜻㉰᷽】撁ⶨ䖆㲊⽱媣䪙◼⪜撁ⶨ䖆㑥ℙἾ ✴ 俿⠡⻭弡媣䪙㑥ℙἾ ✴ 㲊⽱ᴏ⌎㓸㑥ℙἾᵡᴏ⌎澭㆙䞲㎠⼩澮 ✴ 㓢㯗弜廉㑥ℙἾ⋏㊪⊡㲊⽱澭≗⌓⼩澮
⢄ṗ弋≗⌓㑥ℙ㑲 ✴ /&Ⱦ5*#澿⪋⼩彯㐽䜶澱ᴏⷼ媰䷩䷯ẁ䐪 ✴ 5*#⪸㓑澿5*#5*#5*# ✴ 5*# -GEECM
≗⌓㑥ℙ㑲䖆ⶖ䐪 ✴ ⛼ᶐ⋥ᷦ䖆↢⫈ ✴ 庪ℭɈ䫣㐻ɉ澱Ṉ㓢㯗庪ℭɈḬ埇ɉ ✴ 䐪ᶐ㚆弢㲊⽱媦嫃䜃⎎廝坎㑲⩙䪀⌏ ✴ 䐪ᶐ㚆弢斑㘼㑲䐡ㄒ╪
⫻≗⌓㑥ℙ㑲䖆㐽 ✴ 㖶↝䜶壥Ⱦ䐡㓧㐽ăăẁ䐪⪋⼩㗶槚䖆㑥ℙ㑲 ✴ ⩙⁺㐽ăă↢䗒⌐㑥ℙ
ཨ༏ಪᆣ Message Authentication Code
㲊⽱㊧⋙伇$QD 㲊⽱⋓弃伇#NKEG -G[ 媣䪙䖆 /#%Ἶ /#%䪙㯗 㲊⽱ -G[ 媣䪙䖆 /#%Ἶ
/#%䪙㯗 㲊⽱ ⋓弃㲊⽱ ㊧㐸Ⅎ䖆 /#%Ἶ ⋓弃/#%Ἶ !
⬑㔐䖆/#%䪙㯗 ✴ /#%/& -G[ /GUUCIG ✴ .GPIVJGZVGPUKQPCVVCEM澭撁ⶨㅫ⭗㐽澮 ✴ /GTMNGĂ&COI¤TF廯ᷥ䷕㚆
https://commons.wikimedia.org/wiki/File:Merkle-Damgard_hash_big.svg
✴ 坪䠼≗⌓㑥ℙ㑲 ✴ ᴼ⫈控澭❭⁇僵㑥ℙ㑲䖆℈䷆撁ⶨ澮 ✴ 㔱⊡⣍㲊⽱ ✴ 坪䠼₇忪❭⁇澭00110110ᴏ㒯⺬䊱澮 ✴ 坪䠼⠘忪❭⁇澭01011100ᴏ㒯⺬䊱澮
✴ ⊕坪䠼⸄ㄘ澱‖坪䠼⩙䨨ᴴ廠㊧ HMAC(K,m) = H((K ⊕ opad)|| H((K ⊕ipad)|| m))
㘋ᶈ*/#%⬳ᴉ㓢ᴂ⠳ᶈ⌙ ✴ 惏㑀㐽澭4GRNC[CVVCEM澮 ✴ ⋎㒻䶨⪜僬➠ⶑ⋹ ✴ 㲊⽱ᴯ∇⌭㓸擶ㄵ ✴ ⁊嫹㭄ᴂᴬPQPEG澱⋓弃㲊⽱ ✴
ᶍ⌐ㆷ屘澭4GRWFKCVKQP澮
ඔሳద Digital Signature
ẁ䐪控⫈䜃廝坎↢⫈ 㲊⽱⋓弃伇#NKEG 㲊⽱㊧㐸伇$QD $QD䖆控 $QD䖆䣃控 ť$QD䐡ㄒ僬ⳳ䖆⫈控⫻ Ŧ$QD⬈控⋓弃䷛#NKEG $QD䖆控 㔐㒉 ⫈㒉
↢⫈ $QD䖆 控 ŧ#NKEG䐪$QD䖆 控⫻㲊⽱廝坎↢⫈ Ũ#NKEG⬈⫈㒉⋓弃䷛$QD ⫈㒉 ⫈㒉 㔐㒉 壥⫈ $QD䖆 䣃控 ũ$QD䐪䣃控⫻⫈㒉 廝坎壥⫈
ẁ䐪控⫈䜃廝坎㑲⩙䪀⌏ 㲊⽱⋓弃伇#NKEG 㲊⽱㊧㐸伇$QD #NKEG䖆 控 #NKEG䖆 䣃控 ť#NKEG䐡ㄒ僬ⳳ䖆⫈控⫻ Ŧ#NKEG⬈控⋓弃䷛$QD #NKEG䖆控
㲊⽱ 䪀⌏ ↢⫈ #NKEG䖆 䣃控 ŧ#NKEG䐪僬ⳳ䖆䣃控 廝坎↢⫈澭䐡ㄒ䪀⌏澮 Ũ#NKEG⬈㲊⽱⎎䪀 ⌏⋓弃䷛$QD 㲊⽱ 䪀⌏ 榎嫃 壥⫈ #NKEG䖆 控 ũ$QD䐪控榎嫃䪀⌏ 䪀⌏ 㲊⽱
ẁ䐪控⫈䜃澰≗⌓㑥ℙ㑲 廝坎㑲⩙䪀⌏ 㲊⽱⋓弃伇#NKEG 㲊⽱㊧㐸伇$QD #NKEG䖆 控 #NKEG䖆 䣃控 ť#NKEG䐡ㄒ僬ⳳ䖆⫈控⫻ Ŧ#NKEG⬈控⋓弃䷛$QD
#NKEG䖆控 ŧ#NKEG䐪僬ⳳ䖆䣃控 廝坎↢⫈澭䐡ㄒ䪀⌏澮 Ũ#NKEG⬈㲊⽱⎎䪀 ⌏⋓弃䷛$QD 䪀⌏ 榎嫃 壥⫈ #NKEG䖆 控 ũ$QD䐪控榎嫃䪀⌏ 㲊⽱ 䪀⌏ 㲊⽱ 㲊⽱ 㑥ℙἾ ≗⌓㑥ℙ㑲 #NKEG䖆 䣃控 ↢⫈ 䪀⌏ 壥⫈⌐䖆 㑥ℙἾ ≗⌓㑥ℙ㑲 媣䪙⺙Ⅎ 䖆㑥ℙἾ
㲊⽱媦嫃䜃XU㑲⩙䪀⌏ 㲊⽱媦嫃䜃 㑲⩙䪀⌏ ⋓弃伇 䐪ᶭ⫈控媣䪙/#% 䐪䣃控䐡ㄒ䪀⌏ ㊧⋙伇 䐪ᶭ⫈控媣䪙/#% 䐪控榎嫃䪀⌏ ⫈控℈⋓擰枚
⩚☪ ᴏ⩚☪澱Ṉ㔱控昂境⋨ ⠘媦嫃 ⪎㑶⼩ ✅ ✅ 媦嫃 ✅澭᷇敒弜ợ⋎㒻澮 ✅澭弄䐪ᶐ᷽ṗ䨮ᴋ㒻澮 攴㩤⌨媦 ❎ ✅
ⶖ⫻ᴯ擶ᶼ㐽 ✴ ⸗⋱ợ᷽䖆䨮ᴋ㒻澭媦嫃㘼㚆澱%GTVKHKECVG #WVJQTKV[澮 ✴ ⬈控ᶦ䷛媦嫃㘼㚆澱媦嫃㘼㚆ẁ䐪僬ⳳ䖆䣃控⫻嫧 控廝坎㑲⩙䪀⌏澱枃⋓控嫃ᵨ ✴ ẁ䐪控伇⁊榎嫃控嫃ᵨ䖆㘋㑊⼩
http://www.sadko-shop.ru/catalog/matryoshka/vyatka/1321795101/ ⢄ṗợ᷽媦嫃㘼㚆
控⛼䝂嫀㒿 2WDNKE-G[+PHTCUVTWEVWTG https://commons.wikimedia.org/wiki/File:Public-Key-Infrastructure.svg
None
ເෛࠏඔളӮఖ PseudoRandom Number Generator
Ḭ斑㘼㑲䖆ẁ䐪☼㕱 ✴ 䐡ㄒ⫈控 ✴ 䐡ㄒ⫈控⫻ ✴ 䐡ㄒ℟⣍∘⌓惑 ✴ 䐡ㄒPQPEG ✴
䐡ㄒ䗒
䷁⼩⌎ṛ㯗 X n+1 = aX n + c ( )
mod m ҂ေႨ https://commons.wikimedia.org/wiki/File:Linear_congruential_generator_visualisation.svg
%5240) ✴ 斑㘼㑲䖆⼩尪澿 ✴ 斑㘼⼩ăăᴏ⩚☪䷡媣⩨ὑ⳰澱㔱⪎㙄ᵳ䖆㑲ℙ ✴ ᴏ⋱枆㱍⼩ăăᴏ俿᷐廉⊽䖆㑲ℙᴯ㊪㱍ᴍᴂᴬ䊲 䖆㑲 ✴ ᴏ⋱惏䊲⼩ăă敦晠⬈㑲ℙ㘮嶭ở⩚ᴍ㙧澱⌨ℛᴏ俿惏
䊲䗺⌎䖆㑲ℙ ✴ 弋⁹⠉⫈䜃⩨⪋䖆Ḭ斑㘼㑲䐡ㄒ╪澭%T[RVQITCRJKECNN[ UGEWTGRUGWFQTCPFQOPWODGTIGPGTCVQT澮
ൌ Practice
ợ⽱⪋ⴺ嫈 ✴ ᴏ境ẁ䐪ở⫈䖆↢⫈䪙㯗澭5GEWTKV[VJTQWIJ QDUEWTKV[澮 ✴ ẁ䐪Ṑ⸼ⶨ䖆↢⫈㒻㯗㫖ᴏ廝坎᷽ṗ↢⫈㗶↢≳敫 ✴ ᷽ṗ⫈䜃⼽㘋ᴂ⠫Ḝ垭䜶壥 ✴ ⫈䜃⋬㔱ợ⽱⪋䖆ᴂ忪℈
✴ 攴⺣⻇杽⠫坥㓢丟澱㐽⋬昂䦃䜶ᴂ㾻
㝊ẍᴂ 9GDᴐ⪤ㄹ䧱㘮☲弜媱㊧⋥↢⫈ ✴ ⪤ㄹ䧱☪㘮☲䗓⌮䧱⋥澱⸂⌱*662㘏↣澱㓢㯗ẁ䐪 *6625澱弜ợ㑲㉰ᴼ,510⩙䨨ᴴȿ ✴ 弜ợ㑲㉰惉䐪4%↢⫈澱㮣㘋㲊⽱榎嫃䜃㘼ℸ澱壥 ⫈⌐㓢㯗壥㚒ᴼ,510≵ᴼ㓢㑊㑲㉰ȿ ✴ 4%⫈控☪2*2㘏↣䧱ẁ䐪䣃控↢⫈澱⪤ㄹ䧱ẁ䐪
控壥⫈ȿ⫈控ᴯ∇⌭㓸擶ㄵ澱岇㓸⌐ᴏ⏏ⶖ嫹㭄ȿ ✴ ↢⫈⌐䖆㑲㉰⎎⫈控$CUGḢ底ȿ
㝊ẍᶎ ☪㱑壊╪䧱⩚ᾪ㑑〡㑲㉰ ✴ ᴜ↣弽库境㭄☪㱑壊╪䧱⩚ᾪᴂᶝ昂境↢⫈䖆㑑〡㑲 ㉰澱⩚ᾪ☲㾻⋱弋%QQMKGUȾ.QECN5VQTCIG䩋ȿ ✴ ↢⫈⎎壥⫈忿☪㘏↣䧱廝坎澱ᴏ☪㱑壊╪䧱㖶昴᷽ṗ ⫈控䩋ợ⽱ȿ ✴ 枆ᶭ⫈控澱惉䐪#'5%$%↢⫈㒻⸑澱媣
䪙↢⫈⌐㑲㉰䖆*/#%澱ᴂ屹ở⩚僵㱑壊╪䧱ȿ
㝊ẍᴋ 㛒ㅍ㘼㱑壊╪䖆䣚⫈弜ợ ✴ 㛒ㅍ㘼㱑壊╪Ḝ⌓JVVRUGETGVGZCORNGEQO ㊧⋥廝坎⌆䣏弜ợ澱Ṉ㔱㑲㉰♉㘋↢⫈ȿ ✴ 弜廉⋏丘嫓嫧㱑壊╪⪤ㄹ䧱澱䌈媼ᴌ⋱ᷧ㊪⫾↢⫈ 壥⫈䖆㒻㯗澱Ṉ㔱ㄒ㘮庅槚ȿ ✴ ℈㚒弈⌓ᷥ䜃澱⋓䊲嫹㭄%NCUUᴯ⪜ᵋᶈᴂᴬ
getNeedEncrypt㒻㯗澱⬈⁸廖◠Ἶ⸼ℸ㐻ₛᴼ false⌐澱↢⫈䩘䑧⠳㑊澱Ṉ᷏⋱㩥ⴺ弜ợȿ
2*2 ✴ 1RGP55. ✴ ⫻䣲↢⫈澿openssl_encrypt, openssl_decrypt ✴ 控㳹⌊↢⫈澿openssl_seal, openssl_open ✴
㑲⩙䪀⌏澿openssl_sign, openssl_verify ✴ ≗⌓㑥ℙ㑲澿openssl_digest ✴ Ḭ斑㘼㑲䐡ㄒ╪澿openssl_random_pseudo_bytes ✴ *CUJ ✴ ≗⌓㑥ℙ㑲澿hash ✴ 㲊⽱媦嫃䜃澿hash_hmac ✴ ⫈䜃㑥ℙ澿2CUUYQTF*CUJKPI ✴ Ḭ斑㘼㑲䐡ㄒ╪澿%5240)
0QFGLUCrypto/QFWNG ✴ ⫻䣲⫈䜃澿Cipher, Decipher ✴ 控↢⫈澿publicEncrypt, privateDecrypt ✴ ≗⌓㑥ℙ㑲澿Hash ✴
㲊⽱媦嫃䜃澿Hmac ✴ 㑲⩙䪀⌏澿Sign, Verify ✴ Ḭ斑㘼㑲䐡ㄒ╪澿randomBytes
ࡆૡࢳૡପׄ൙ னϘመ The End