﹒ʬʬ﹒⪩⪨﹒⟡﹒ᐢ..ᐢ﹒◖﹒⇅﹒○﹒✿﹒⊹﹒∇﹒✸﹒⟢﹒❀﹒ᵔᴗᵔ﹒♡﹒〇﹒ıllı﹒ᶻz﹒⊂⊃﹒␥﹒⿸﹒ꔠ﹒✶﹒◍﹒▿﹒⤸﹒⬚﹒៶៸﹒△﹒→﹒✶﹒（）﹒▥﹒▤﹒▦﹒▧﹒▨﹒▩﹒░﹒▒﹒▓﹒⿴﹒◫﹒⬚﹒▣﹒≧≦﹒ㄑ﹒⎙﹒➜﹒★﹒⨳﹒✿﹒❀﹒✶﹒✸﹕☆﹒◐﹒◉ ﹒◖◗﹒▽﹒ᶻz﹒‹𝟹﹒♡﹒ᐢ..ᐢ﹒﹫﹒⿴﹒→﹒☓﹕ᵔᴗᵔ﹒⺌﹒⪩⪨﹒◎﹒⊹﹒ᶻ﹕→ ．(＞。☆)﹔⇆﹒ꜛ﹒░﹒❥﹒？﹒！﹒◍﹒﹏﹒✦﹒⟡﹒＞＜﹒◌﹒⿴﹒✧﹒𖥔﹒%﹒﹙﹚﹒◜◡◝﹒ꜝꜝ﹒⟡﹒⪩⪨﹒☓﹒⬦﹒✦﹒◈﹒✶﹒⬙﹒⟡﹒⇆﹒♡﹒﹢﹒ᶻ﹒✹﹒﹢﹒✶﹑〇﹐罒﹢♡﹒⇆﹑⬚﹐ᶻ﹒❀﹐✶﹒▹﹒◖﹒✩﹒∇﹒▨﹐◌﹐❀﹒⿴﹒✿﹢﹐░﹒ᶻz﹐☆﹒⊂⊃﹑ⵌ﹒▦﹒✿﹒⺌﹒◂﹒⿴﹒❰❰﹒♡﹒ᶻz﹒❥﹒⩇﹒⊞﹐ʬʬ﹒♢﹐ᐢ..ᐢ﹐✩﹒ᶻz﹒❥﹒⟡﹒✷﹒✕﹐〇﹐✿﹒Ꜣ﹒⟡﹒˃̵ᴗ˂̵﹒♡﹐≋﹒⊂⊃﹒ᐢᗜᐢ﹒❀﹒﹢﹒⇵﹒⪨﹕↺﹐✿﹒Ꜣ﹒✶﹐≋﹒⇆﹐ʬʬ﹒﹗﹐➜﹒⬦﹕ᶻz﹒✦﹒﹢﹒▢﹒░﹒⭔﹒ʬʬ﹒✿﹒☰﹐◖◗﹒？﹒✶﹒﹏﹒ꕀ﹑ᵔᴗᵔ﹒ᗢ﹒✿﹐⊂⊃﹒ᐢᗜᐢ﹒ꕀ﹐リ﹐口﹐ꕀ﹒（｀δ´）﹒口，✿﹐⊂⊃﹒ᐢᗜᐢ﹒░﹒𖦹﹐゛✿﹑（｀δ´）﹒イ。ꕀ﹑リ﹐⊂⊃﹒ꔠ﹒口﹐･ᴗ･﹒░﹑リ﹒◐﹐、﹕✧﹒✶﹔？﹐ʬʬ﹒▹﹒❀﹒⭔﹒▿﹒⺡﹒✿﹒﹢﹒░﹑⬦﹒૪ ﹒〹﹒罒﹒ᶻz﹒◎﹐ꕀ﹒◖◗﹒⺌﹒〣﹒ᗢ﹒⺌﹒⿸﹑ꔠ﹒❀﹒➜﹒▦﹒◐﹒✷﹒◉﹒⿴﹒⿻﹒✦﹒★﹒☆﹒ıllı﹢☆﹒❀﹕▧﹒⟡﹒★﹕ıllı﹒▒﹒◎﹐☆﹒ꕀ﹐➜﹒⪩﹒〇﹐➜﹒★﹕◐﹒％﹕▧﹒⊂⊃﹒♡﹒ꕀ﹒ᶻz﹒₊ˎ✧﹒⪩﹒˃ᴗ˂﹕˃ᗜ˂﹕⿴﹒ᶻz﹒☆﹔⿴﹒✶﹒ᵔᴗᵔ﹒➜﹒⭔﹕⪩⪨﹢◒﹒◎﹒✿﹒⊂⊃﹔♡﹒◍﹒✦﹒⪩⪨﹒▧﹒⟡﹕➜﹐▦﹐✦﹒✶﹐﹢﹒ㄑ﹕ꕀ﹒＞＜﹐ꔠ﹐✿﹐×﹐丶﹐＞︿﹒リ﹕﹢﹐﹔★﹒ᶻz﹒⿴﹒⭔﹒✿﹒⊹﹒⭔﹒⨯﹒➜﹒★﹒◞﹒◟◝﹒◜﹒﹪﹒→﹐ıllı﹒★﹒✦﹒⌕﹒⌗﹒✿﹒⊹﹒✸﹒❍﹒⭓﹒◒﹒﹏﹒₊﹒▹﹒ᶻz﹒％﹒◖﹒░﹒ʬʬ﹒⿴﹒⫘﹒◎﹒⨳﹒⌕﹕★﹒☆﹒⌗﹐﹪﹐⌯﹐﹟﹐◐﹒▒﹒◎﹒⇆﹒☆﹒❀﹒☆﹒ıllı﹒↺﹒◍﹒✶﹒ᵔᴗᵔ﹒░﹒⇵﹒▧﹒◍﹒♡﹕❀﹑⿸﹕▞﹒✿﹒╰﹒░﹐◎﹒♡﹒◜ᴗ◝﹒˃ᴗ˂ ♡﹐﹅﹒✿﹒⊞﹒ıllı﹒♡﹒⊞﹕▞﹒✿﹒❀﹒⌕﹒⿸﹒✶﹒❀﹒✷﹒✸﹒▒﹒ᶻz﹒✿﹐♡﹐❀﹒░﹒⇵﹒▨﹕◍﹒♡﹒⌕﹒˃̵ᴗ˂̵﹑♡﹒✿﹒◍﹒⊞﹒∇﹒✶﹒ᵔᴗᵔ﹒◎﹒⇆﹒☆﹒@﹒˘ᗜ˘﹒☆﹔⿴﹒⪩﹐ᶻz﹒➜﹒⪩﹔◖﹐❀﹕⿸﹔﹢﹑ᐢᗜᐢ﹒⊂⊃﹑✿﹒◎﹒イ﹐ꕀ﹒˃̵ᴗ˂̵﹒✶﹒ꕀ﹒▦﹐⊂⊃﹒⇆﹒☆﹒⬚﹒❀﹕➜﹒⪩﹒ᗢ﹒◍﹒⊞﹒∇﹒✶﹒ᵔᴗᵔ﹒◎﹒ᶻz﹒⪨﹒✶﹑✹﹒⪩。ꕀ﹒✿﹒リ﹒⊞﹒⟡﹒⿴﹒☓﹐⊂⊃﹒➜﹒⟡﹒⪩⪨﹒･ᴗ･﹒ꕀ﹒ᶻz﹒✿﹒◎﹒☓﹒☆﹔リ﹒˃̵ᴗ˂̵﹒✶﹑ꕀ﹒▦﹒リ﹐⇆﹒☆﹒⬚﹒❀﹕➜﹒⪩﹒〇﹒◍﹒⊞﹒∇﹒✶﹒ᵔᴗᵔ﹒◎﹒ᶻz﹒⪨﹒✶﹑✹﹒⪩﹒ꕀ﹒✿﹔➜﹐﹏﹐★☆﹒┆︎﹒⩇﹒✿﹔✸﹕♡﹐◌﹒❥﹐％﹑〹．ʬʬ﹕੭﹐♢﹒口﹒⇣⇡﹒☆﹔⌗﹒⪩﹐ᶻ﹒➜﹒⪩﹔◖﹐❀﹕⿸﹑ᐢᗜᐢ﹒⊂⊃﹑✿﹒！﹒◎﹒リ﹐ꔠ﹐✿﹑∇﹒イ﹐ꕀ﹒˃̵ᴗ˂̵﹒✶﹑﹒ꕀ﹒▦﹒⊂⊃﹒⇆﹒☆﹒⬚﹒❀﹕➜﹒⪩﹒⩇﹕✿﹒ʬʬ﹕口﹐〇﹒◍﹒⊞﹒∇﹒✶﹒ᵔᴗᵔ﹒◎﹒ᶻz﹒⪨﹒✶﹑✹﹒⪩﹐ꕀ﹒✿﹒⊞﹒⟡﹒⿸﹑␥﹒♡﹕リ﹒☓﹐⊂⊃﹒➜﹒⟡﹒⪩⪨﹒･ᴗ･﹒ꕀ﹒ᶻz﹒✿﹒☓﹒✩﹒⊞﹕❀﹑◌﹒⊞﹒✸﹕⌗﹕★﹒ᶻz﹒✦﹒★☆﹒ıllı﹢☆﹕❀﹒▧﹒⟡﹒★﹕ıllı﹐▒﹒◎﹐☆﹒ꕀ﹔➜﹒⪩﹒〇﹐➜﹒★﹕◐﹒％﹐⊂⊃﹒♡﹒ꕀ﹒ᶻz﹒✧﹒˃̵ᴗ˂̵﹕˃ᗜ˂﹒ꕀ﹒ᶻz﹒☆﹔⿴﹒✶﹒ᵔᴗᵔ﹒➜﹒⭔﹕⪩⪨﹐﹢﹐◒﹒⊂⊃﹔♡﹒◍﹒✦﹒⪩⪨﹒▧﹒⟡﹕➜﹐▦﹒✦﹒✶﹐ㄑ﹕ꕀ﹒＞＜﹐ꔠ﹑ꕤ﹒░﹒◖﹒⟡﹒❀﹒→﹒⿴﹒⿻﹒⊞﹒♡﹒ᵔᴗᵔ﹒︴﹒✶﹒⭔﹐𓆩♡𓆪﹒リ﹒Ꮺ﹒キ﹒ꗃ﹒⿶﹒⌓﹒〹﹒⧅﹒◆﹒▽﹒ᐢ..ᐢ﹒⬙﹒⎙﹒◈﹒▣﹒ᶻz﹒⟢﹒ʬʬ﹒⊹﹒✷﹒◉﹒⿸﹒✶﹒❀﹒✷﹒⿻﹒⌇﹒ᵔᴗᵔ﹒◍﹒▿﹒⤸﹒○﹒░﹒⇵﹒☆﹒@﹒˘ᗜ˘﹒⬚﹒✸﹒▧﹒◎﹒♡﹒◜ᴗ◝﹒✸﹒ᵔᴗᵔ﹒✿﹑⟡﹒❀﹒★﹒➔﹒％﹒ᗜ﹔﹒⌗﹒﹪﹒﹒⟢﹒ᵔᴗᵔ﹒✮﹒^..^﹒✵﹒ (｡>﹏< ? ♡ !! 𓂃 . ට . . . ˓˓ ૮₍ ˃ ⤙ ˂ ₎ა ▯ ◠ ﹟𓈈 ᓚᘏᗢ ◠︰ ⨯ // ╰﹒(੭ ´͈꒳'͈)੭ ╰ ╯╭ ╮ᕱ‧ᕱ (๑•ᴗ•๑) ୨୧ • ·➤ ☆◞ ៸៸ 人 : ★⌒꒷꒦ ⊞ 𐅰 ⎗ 𖣯 ▦ 𐄹 ⋕ ＃ ꖛ 𖥻 ୭ꪆ ᥫ ᘏ Ꮼ ᘓ ୬ ෧ ᘡ 𖥨 𓈈 𓈀 𓈃 𓏔 ୨୧ • : :┊ ʚ︰ ₊˚✿ ꒱ ◠ ꒷꒦ ⌗ ．？！、＂＇（）＠／＆＿＃％；：＋＜＝＞〜… ˁ˙˟˙ˀ ꒷꒦ ๑ ♡ ﹕₊ ・ 〜 ꒷꒦꒰・ ˁ˙˟˙ˀ ୨୧ • : ୧ ₊˚ ⌗ ˁ˙˟˙ˀ ꒷꒦ ๑ ♡ ﹕₊˚ ✦・୨୧・ ˎˊ- 〜 ꒷꒦ ╭・꒷꒦꒰ ︵︵﹆ . ⁺ . ✦ ﹒₊˚𓂃 ★﹒₊‧ ★・⸝⸝﹒₊˚﹕﹒₊‧ ﹒₊˚𓂃・﹕★﹒₊‧ ╰╮﹔﹒⧣₊˚ ˚₊﹒﹒╭╯ ✦ . ⁺ . ╭╯ ╰╮l﹒⧣ 𓆩 𓆪 𓄴 𓄵 𓄶 𓄷 ❀ ꈍᴗꈍ ꃋᴖꃋ 葉 两 ⚞ ⚟ ◜◝◞◟(\ /) ˶ᵔ ᵕ ᵔ˶ # ごめんなさい ᵎᵎ モンスタ 命 ୧ ⬪ ʚ ୫ 𖠿 ៹ ꐑꐑ ᕬ ⎙ ৎ୭ ‹𝟹 ‹𝟥 ❨ ╲ ╱ ❩ ∀ ≧◡≦ ╰╮‹ゞˀˀᗢ__﹞﹝𑁯⌗。▭⋯⏝ — ୨୧ 𓂃 ꩜! . ૮ ╰・손 𓂅 ╭╯: 𖣠︶꒦꒷ ᗢ . ⌗𓂃 ২・◞ ・ ⸝⸝ ҂ 𓂃 ֙⋆ +．★☆ ᕱ⑅ᕱ ᰔ ⺌⺌ ︿︿ જ⁀➴ 仌 ᄋ﹟⩇⩇:⩇⩇ ★˖✦ › # ごめんなさい ᵎᵎ モンスタ `·. :¨·.·¨: ⬫ 𓍯 ‹𝟹 ৎ୭ ⪧☆ 𖤐╰►✦₊×・ɞ﹕﹕୨ʚĭɞ୧﹕ ╰ʚ・ ୨୧ ˖ ˚ × ๑ 人 ꈍᴗꈍ Ꮺ ᘏ ⁾ ୨୧・┈・-ଘ੭ˊᵕˋ੭～✧ʚ︰ ︶︶꒦︶꒷꒦︶︶꒷︶✧₊˚୨୧ ｡ﾟﾟ･｡･ﾟﾟ｡ ﾟ。 . ﾟ･｡･ﾟ ✧ . ˖˳ ₊ * * ✦ . * ✦˳ ── ˖˚˳:: ๑✦୨୧・ ╰──・──・──・ ｡ﾟﾟ･｡･ﾟﾟ｡ ﾟ — ⸝⸝ ﾟ･｡･ ⨯ ʚ┊ ⨯ — ⊹ — ✦ ₊˚⌇ ₊˚๑ ゛ × ⌑・ ₊˚๑ ✦ ₊˚⌇ ₊˚๑ ︶꒷꒦ ‧₊ ︶꒷꒦︶꒦ ︶x꒦ • ๑‧˚₊4︶︶୨୧︶︶✦‧₊˚⊹ ˖˚₊ ✎ ( ˶ᵔᴗᵔ˶ ) ✧ ⌒⌒ ˚⊹ 「 」︰╮ ₊˚๑ ˖˚₊ ୨୧． ・୨୧ ︶︶︶꒷꒦꒷︶꒦꒷︶ ✦ ♡ ✧ ︶︶꒦︶︶꒷꒦꒷꒦︶ ୨୧． ⌒ ⌒ ⌒ ⌒ ‧₊˚๑ ── ♡ ⊹ ᵎᵎ ──・๑ ₊˚ ꒷꒦ ꒰꒱┇✧． ꒰꒱┇✦． ꒰꒱┇✧． ꒰꒱┇✦． ⁺ ˖˚ ໑ ₊˚ ──・──・・✧ ・・──・── ꒰꒰ ✎ :: ⊹ ── ． ． ┄┄ ₊˚๑ ・ ‧ ✎ ₊ ๑ ⋆˚. ⌒⌒ ₊ ๑ ⌒⌒ ₊ ๑ ⌒⌒ ♡₊˚ ❜ ๑ ₊˚ ꒷꒦ ꒰୨୧꒱． ꒰୨୧꒱． ┊ ๑ ˚. ┊ ︰ ┊ ⁀➷ ˖˚₊⠀⠀✧⠀ ♡⠀ ￤⠀✦ ⠀⠀┊ ◞⁺⊹． ⠀⠀꒦ 𖧷 ✦ ┊︰・˚₊ ┊꒰꒰ ꒱꒱ ₊˚๑ ✧ ꒷꒦︶ ︶꒷꒦꒷︶ ︶ ︶꒷꒦︶ ︶꒦︶ ︶ ・꒷꒦‧₊˚ ╭──・───────・ˊ＊ ╰──・───────・ˊ＊ ・꒷꒦‧₊˚ ︵ ⋆｡˚ ︵ ⋆｡˚ ⿻ ˒ 𓂃 ⸝⸝ ︵ ★ ⌒꒷꒦ ﹕⨳ ⁛★☆ 水の 𓈀 組 : 𓂅 𓄹ㅤ 薬 ! ㅤ県 ৲ 参 ■ ! 𖠳 𓂃 ▦ ! 㒍 ꯴ 繮： ❛ ㅤ𖥻 ♥︎.ㅤ縙ㅤ𓍼ㅤ ⊹ ୨୧ (๑꧆◡꧆๑) #O1 , ᵎ ・┈・・┈・・┈・・┈・・┈・ ╰╮ ꒰꒰ㅤ﹕★ #O2 , ᵎ #O3 , ᵎ ꒷꒦︶꒷꒦︶꒷꒦︶꒷꒦︶꒷꒷꒦︶ : ＃ ☆★ !! — — — — — — — ੭ 𓂅 ・・♡ ~（ゝ。∂） ⋆ ࣪ ִֶָ . ꩜ ⁘ ︻ 上═ 𓂃 % ¿¿ ˑ ࿏ 𓄹 ࣪ ִֶָ ࣪ ּ ִ ִ ˑ (:̲̅:̲̅:̲̅[̲̅::]̲̅:̲̅::) 𓂃 ִֶָ . ꩜ >﹏★/ ︻デ═ ╭ ﹆ ⁺ ╰╮° ˖ ┊໑ ₊˚ 人 %ᵕ‿‿ᵕ% ꒷꒦% ## 𖧧 𓂃໑#★ ⋆ ˚꒦꒷ ⋆ (ゝ'-')︻デ═一 * ‧ ⨯ . ⁺ ✦ 𓂂 ꙳ ੭ ₍ ₎ — ᠀ 𝟎𝟏 ! — ᵕ̈ ｡ — ˓ ⋆ 𝟎𝟐 ꜥꜤ ᐢ..ᐢ ━ 𝟎𝟑 ، ㅤㅤᘏ ﹕ ♥︎೨ 𓏲੭ ˒ 𒊹︎ ╰﹒ ˚ ⸼ ۫ 𓍯﹫ 𓏭 ั ᓚᘏᗢ ↯ . . . . ੭ ╾━╤デ╦︻⁰⁰¹∙ ﹕ ₊ ‧ ╱╳╲ ‧⁰⁰²∙ ,, ‧ ⁰⁰³∙ ﹕ ₊ ‧ ╱╳╲ ‧⁰⁰⁴∙ ,, ‧ ➜ ◠ ：ᨓᨓ ៹࣪ ៸៸╭━𖤘・˃ᴗ˂╰━꒰ ᵕ ༝ ᵕ ꒱可⋋✦₊꩜﹒𓂅 ˇ :japanese_castle: ִֶָ ︰꩜？！⋆ ﹒ ⁺ ﹒ ☆ ﹒ ⁺ ﹒⋆ ﹒ ⁺ ﹒ ★ ﹒ ⁺ ﹒×𓌹ᄋ𓌺 ☆ 仌 ⨾҂ᵎᵎ⁺˒ᘛᘚ✿೨୧ ₪◊⋐⋑˘˘˘Ɛ
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⠀⠀⡁⠈⠀⠁⠈⠀⠁⠈⠀⠁⠈⢀⠐⠀⠈⠀⠄⠁⠠⠈⠀⠄⠁⠠⠈⠀⠈⢀⠈⠀⠈⢀⠐⠀⠠⠀⠂⠀⠂⠀⠂⠀⠂⠀⠂⠀⠂⠀⠂⠀⠂⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠂⠀⠂⠀⠂⠀⠂⠀⠂⠀⠂⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀
⠀⠀⠄⠀⠁⠈⠀⠁⠈⠀⠁⠈⠀⡀⠀⠠⠈⠀⠠⠐⠀⠀⠂⠀⠐⠀⠀⠂⠁⠀⢀⠀⠁⠀⢀⠠⠀⠀⠄⠂⠀⠐⠀⠠⠐⠀⠀⠂⠀⠐⠀⠠⠐⠀⠀⠁⢀⠀⠁⢀⠈⠀⠀⠁⠀⠐⠀⠠⠐⠀⠀⠂⠀⠐⠀⠠⠐⠈⠀⠀⠁⢀⠈⠀⠀⠁⢀⠈⠀⠀⠁⢀⠈⠀⠀⠁⢀⠈⠀⠀⠁⢀⠈⠀⠀⠁⢀⠈⠀⠀⠁⢀⠈⠀⠀⠁⢀⠈⠀⠀
⠀⠠⠀⠈⢀⠈⠀⠌⠀⠐⠈⠀⠀⠀⠐⠀⡀⠐⠀⠀⡀⠂⠀⠈⠀⡀⠁⠀⡀⠂⠀⢀⠀⠁⠀⠀⡀⠄⠀⠠⠐⠀⠠⠀⠀⠄⠂⠀⠁⠀⠐⠀⢀⠠⠈⠀⠀⡀⠄⠀⢀⠀⠁⢀⠈⠀⠠⠀⠀⠄⠂⠀⠁⠀⠐⠀⠀⡀⠀⠁⢀⠀⠀⡀⠁⢀⠀⠀⡀⠁⢀⠀⠀⡀⠁⢀⠀⠀⡀⠁⢀⠀⠀⡀⠁⢀⠀⠀⡀⠁⢀⠀⠀⡀⠁⢀⠀⠀⡀⠁
⠀⢀⠀⠁⠀⡀⠂⠀⠐⠀⠠⠐⠈⠀⠀⠂⠀⢀⠀⠁⠀⢀⠀⠁⠀⢀⠠⠀⠀⠀⠄⠀⠀⠐⠈⠀⠀⠀⠠⠀⠀⠄⠀⠐⠀⢀⠠⠐⠈⠀⠀⠂⠀⠀⢀⠀⠁⠀⠀⠠⠀⠀⠄⠀⠀⠐⠀⠀⠂⠀⢀⠐⠈⠀⠀⠂⠁⠀⢀⠈⠀⠀⡀⠀⠠⠀⠀⠄⠀⢀⠀⠀⠄⠀⢀⠀⠀⠄⠀⢀⠀⠀⠄⠀⢀⠀⠀⠄⠀⢀⠀⠀⠄⠀⢀⠀⠀⠄⠀⠀
⠀⠀⢀⠈⠀⠀⠀⠁⠀⠂⠀⢀⠀⠀⠁⠀⠂⠀⠀⠐⠈⠀⠀⡀⠁⠀⠀⢀⠈⠀⠠⠀⠁⠠⠐⠀⠈⠀⠄⠐⠠⠀⠂⠀⢀⠀⢀⣠⣀⣀⣁⣀⣂⣁⣀⣀⣀⡂⢁⠀⠀⠀⠄⠂⠁⡀⠀⠁⠀⡀⠀⠄⠀⠀⠁⠠⠀⠂⠀⠀⠄⠂⠀⠀⠄⠀⠂⠀⠠⠀⠀⠄⠀⠠⠀⠀⠄⠀⠠⠀⠀⠄⠀⠠⠀⠀⠄⠀⠠⠀⠀⠄⠀⠠⠀⠀⠄⠀⠐⠀
⠀⢀⠀⠀⡀⠈⠀⡀⠁⠀⠐⠀⠀⠈⠀⠐⠀⠀⠁⢀⠠⠐⠀⠀⢀⠐⠈⠀⠀⠐⠀⠀⠂⠀⠄⠀⠀⠐⠀⢀⠀⣀⣴⣴⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⣀⠀⠈⠀⠠⠀⠀⠀⠄⠂⠀⠄⠀⡀⠂⠀⡀⠠⠐⠀⠀⠐⠀⠐⠀⠀⠄⠀⠐⠀⠀⠄⠀⠐⠀⠀⠄⠀⠐⠀⠀⠄⠀⠐⠀⠀⠄⠀⠐⠀⠀⠄⠀⠐⠀⠀
⠀⠀⠀⠄⠀⠀⠄⠀⢀⠈⠀⡀⠈⠀⠐⠀⠀⠁⡀⠀⠀⢀⠀⠈⠀⠀⢀⠀⠂⠀⠀⠂⠀⠀⠀⠈⢀⣀⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠐⠀⠄⠀⠐⠀⠀⠄⠀⠀⠄⠀⢀⠀⠄⠈⠀⠀⠂⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠂⠀⠐⠀⠀⠁
⠀⠀⠂⠀⠀⠂⠀⠠⠀⠀⡀⠀⢀⠈⠀⠀⠁⠀⢀⠀⠁⠀⠀⠐⠀⠈⠀⠀⠄⠀⠀⠀⠠⠁⣠⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠂⠀⠀⠀⠈⠀⡀⠄⠀⡀⠠⠀⠈⠀⠄⠂⠀⠈⠀⠀⠁⠀⠐⠀⠀⠁⠀⠐⠀⠀⠁⠀⠐⠀⠀⠁⠀⠐⠀⠀⠁⠀⠐⠀⠀⠁⠀
⠀⠀⠐⠈⠀⠀⠂⠀⠠⠀⠀⠠⠀⠀⡀⠁⢀⠈⠀⠀⠠⠈⠀⠀⠂⠀⠄⠂⠀⠀⠁⠠⣠⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⢟⣿⣻⣟⡿⣿⢿⣿⠿⣿⣷⡤⠈⠀⢈⠐⠀⠀⠠⠀⠀⢀⠀⠂⢀⠀⠠⠀⠁⢀⠈⠀⠈⠀⡀⠁⢀⠈⠀⠀⠁⢀⠈⠀⠀⠁⢀⠈⠀⠀⠁⢀⠈⠀⠀⠁⠀⠂
⠀⠀⠂⠀⡀⠁⠀⠐⠀⠀⠂⠀⠠⠀⠀⡀⠀⠀⠄⠂⠀⠀⠄⠁⠀⠄⠀⠀⠂⠈⣠⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⠿⣏⠟⡞⣱⠫⡝⠼⣡⢋⢆⣳⣼⡿⠿⠿⠿⣷⣦⣤⡁⠀⠀⠀⠂⠐⠈⠀⢀⠈⠀⠀⠠⠀⠀⡀⠄⠀⡀⠀⡀⠁⠀⠀⡀⠀⢀⠀⠁⢀⠀⠀⡀⠁⢀⠀⠀⡀⠁⢀⠀⠀⡀⠁⠀⠂⠀
⠀⠀⠰⠀⠀⠀⠈⠀⠀⠆⠀⠁⠀⢀⠀⠀⠰⠀⠀⢀⠀⠁⠀⢀⠁⠀⠀⠆⠁⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⢿⣹⣿⣿⣿⡿⡿⣿⣿⣷⣈⠾⡸⣀⠷⡸⢇⠶⣉⣾⣿⣷⡾⣷⢿⣷⣶⣏⣿⣿⡆⠀⠰⠀⢀⠀⠀⠀⠀⠀⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⠀⠀⡀⠀⠀⡀⠀⢀⠀⠀⡀⠀⢀⠀⠀⡀⠀⠀⠆⠀⡀
⠀⠀⠄⠀⡀⠁⠀⠐⠀⠀⠄⠐⠀⠀⡀⠐⠀⠀⠐⠀⠀⠠⠀⢀⠀⠀⠀⣠⣾⣟⣋⣙⢻⣿⣿⣿⣿⣿⣿⣝⠎⡶⢹⡙⣾⣟⣫⣕⣦⣵⢶⣴⣬⣽⡿⣷⣥⠓⡼⡑⢎⡱⣾⠏⠁⠉⠀⠁⠉⠀⠁⠈⠉⠉⢿⣆⠀⠠⠀⢀⠈⠀⠀⠁⠀⠈⠀⠀⠐⠈⠀⡀⠁⢀⠈⠀⠀⠂⠀⠀⠄⠀⠠⠀⠀⠠⠀⠀⡀⠀⠠⠀⠀⡀⠀⠀⠂⠀⡀⠀
⠀⠀⠠⠀⠀⡀⠈⠀⠀⠂⠀⠠⠐⠀⠀⠀⠐⠈⠀⠀⠂⠀⠐⠀⠀⠁⣠⣿⣿⢈⠿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣏⡔⣣⣾⠟⠋⠉⠉⠉⠈⠀⠀⠀⠀⠀⠈⢻⣯⣴⡿⣯⣷⣟⠀⠀⠀⠰⣾⣷⠀⠀⠀⠀⠒⢨⣿⣀⣀⣄⣀⡀⠂⠁⢀⠈⢀⠀⠈⠀⠠⠀⠀⠠⠀⠀⡀⠁⠀⠐⠀⠀⠐⠀⠀⠂⠀⠠⠀⠀⠐⠀⠀⠄⠀⠀⠁⠀⠄⠀⠀
⠀⠀⠄⠀⠄⠀⢀⠈⠀⠀⠂⠀⢀⠀⠈⢀⠠⠀⠂⠁⠀⠈⠀⠐⠀⣡⣿⠃⣿⣯⣘⠿⡱⢻⢿⣿⣿⣿⣿⣿⡟⠿⣷⣟⠀⠀⠀⠰⣾⣷⠀⠀⠀⠀⠀⠀⠈⣿⡔⢲⡐⢮⣿⠀⣀⣀⣀⣈⠀⠀⠀⠀⠀⡅⣨⣿⢿⣻⡟⣿⢿⡿⣶⣦⣄⡀⠐⠈⠀⠄⠀⡀⠁⠀⠄⠀⢀⠈⠀⠀⠁⢀⠠⠁⠀⠐⠀⢀⠈⠀⠀⠂⠀⡀⠁⠀⠂⠀⡀⠁
⠀⠀⠠⠀⠀⠄⠀⢀⠀⠁⠀⠈⠀⠀⠠⠀⠀⢀⠀⠄⠈⠀⠐⠀⢰⣿⠁⠲⣌⠹⡻⠷⣡⢃⠮⣔⡩⢛⡝⡫⣝⠲⢹⣯⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣿⠜⣡⢚⠶⠿⠛⢏⠫⡙⢋⠿⠷⣶⣤⡐⣤⣿⡙⢎⡱⢹⡹⢞⡳⣏⡿⡽⢿⣦⡄⠁⡀⠂⠀⠀⠂⠀⠠⠀⠀⠀⠂⠈⠀⠀⡀⠐⠀⠠⠀⠀⡀⠁⠀⠄⠀⠀⠂⠀⠄⠀⠀
⠀⠀⠄⠀⠂⠀⠠⠀⠀⡀⠁⠀⠂⠁⠀⠠⠐⠀⠀⠀⠀⠂⠀⢸⣿⠃⣌⠳⣌⢣⡙⢆⢇⡚⢲⠤⡙⢦⣘⠱⢢⢍⠣⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⢬⡑⢎⡜⢢⠝⣌⠳⣉⠧⣊⠵⣊⠽⣿⣯⠑⣎⡱⢩⠖⡱⣊⠵⣩⢛⡟⣿⡼⣿⣧⡄⠀⠀⠁⡀⠂⠀⢀⠀⠁⠀⠀⠂⠀⢀⠠⠐⠀⠀⠄⠀⠀⠂⠀⠀⠁⠀⠄⠀⠐⠀
⠀⠀⠠⠀⠐⠀⡀⠄⠀⢀⠀⠂⠀⠐⠈⠀⢀⠀⠀⠂⢀⠀⠈⣿⠇⡰⣈⠳⡌⢦⡙⢬⠒⣍⠣⢎⡱⢆⢣⡹⢌⣎⠱⣋⠿⣦⡄⡀⠀⠀⠀⠀⠀⢀⣰⡾⢫⢔⡣⢚⡬⢜⡡⠞⣌⠳⣌⢲⢡⡚⢤⣛⣿⣧⢋⠴⣡⠓⣎⠱⡜⢢⡕⢪⡝⣶⣻⡵⡻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠠⠀⠀⠀⢀⠠⠀⠀⠂⠀⠀⠁⠀⠠⠀⠀⠂⠀
⠀⠀⠄⠀⠂⠀⠀⢀⠠⠀⠀⡀⠈⠀⠀⠄⠀⠀⠂⠀⠀⠀⣽⡟⢀⠲⣡⠓⡜⢢⡙⢆⢫⠔⣋⠦⡓⣌⢣⡜⠲⣌⠳⡌⢎⡱⣛⠿⡶⣶⢶⡶⢾⡟⢫⡑⡣⢎⡴⢋⡔⢫⠔⡩⢆⠳⡌⢆⡣⣙⣦⢯⣿⢯⡘⢦⢡⣋⠴⡩⢜⡡⢎⡱⡘⢦⣏⣷⡻⣽⢿⡄⠀⠀⠀⠄⠀⠂⠀⠀⠂⠀⡀⠄⠐⠈⠀⠀⠀⡀⠄⠀⠁⠀⠐⠀⠀⠠⠀⠀
⠀⠀⠠⠀⠐⠈⠀⠀⠀⡀⠄⠀⢀⠈⠀⠀⡐⠀⢀⠈⠀⢸⡿⠄⣊⢕⢢⣋⠼⡡⢎⡍⢦⢋⢆⠧⣑⢎⠲⣘⢣⢌⠳⣘⠣⡵⣌⠲⡱⢌⠦⡙⠦⡜⣡⢣⠕⡪⠔⣯⣾⣧⣯⡗⣮⣳⡼⢶⣳⣻⣾⣿⠟⡤⡙⢆⢣⡜⢲⡑⢎⠴⢣⠱⣩⠒⡜⣧⣟⣾⣹⣷⡀⠀⠈⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⢀⠈⠀⠀⢀⠀⠀⠀
⠀⠀⠄⠀⠂⠀⡀⠁⠀⠀⢀⠠⠀⠀⡀⠁⠀⠀⡀⠀⠈⣿⢇⠰⡌⢎⠲⡌⡖⡱⢊⡜⢢⡍⢎⡲⢡⢎⡱⢃⡎⣌⠳⣸⠿⢿⣧⣧⠙⡌⢞⡡⢛⠴⡡⠞⡬⢱⡉⢖⡹⢻⣟⡿⣿⢿⡿⣿⢿⡛⢏⠦⣹⡴⣉⠞⡰⡜⣡⠞⡌⢮⡑⡣⢥⢋⠼⣱⠿⣼⢧⣿⣧⠀⠀⠀⠀⢀⠀⠀⠀⠐⠀⠀⠐⠈⠀⠀⠀⠀⠀⠄⠀⠀⠀⡀⠀⠀⢀⠀
⠀⠀⠠⠀⠐⠀⠀⡀⠈⠀⠀⠀⡀⠄⠀⠀⠄⠀⠀⠀⢶⣿⠀⢣⡜⢪⡱⢣⢜⡡⡓⢬⠣⡜⡢⢕⠣⢎⡔⢫⠔⣣⠳⣌⠣⣍⠾⣙⠿⣷⣮⣜⣱⢊⠵⣩⢒⢣⡙⢦⡉⢧⣘⠱⡩⢎⠵⣉⠦⡙⢬⠒⣭⢻⣿⣎⠱⡘⢥⠚⡜⢢⡱⡑⢮⡑⢎⡵⣻⣭⢿⡼⣿⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⠀⠀⠀⡀⠠⠐⠀⠀⠀⡀⠄⠀⠀⠀⠀⠀
⠀⠀⠄⠀⠂⠀⠄⠀⢀⠈⠀⢀⠀⠀⠀⠂⠀⠀⠄⠂⣿⡇⠸⡡⢎⡱⢌⡣⢎⠴⡙⢆⡣⢕⡩⢎⡱⢎⡜⡡⠞⡤⢓⡌⠳⣌⠲⣡⢋⠴⣉⠟⡛⡿⢿⣶⣯⣶⣭⣦⣝⣦⣜⣣⣳⣭⣶⣳⣾⣽⣾⢿⣿⣿⣍⠦⣙⠱⣊⠕⣪⠑⢦⡙⢦⡙⢦⡘⢧⣟⣧⢿⣽⡇⠀⠀⠀⠀⠀⠂⠀⠀⠄⠀⠀⠀⠄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠀⠀
⠀⠀⠠⠀⠐⠀⠀⠄⠀⠀⠄⠀⠀⠈⢀⠀⠀⠂⠀⢸⣿⢂⠱⡱⢊⡕⢪⠴⣉⠖⣩⠒⡍⣆⠳⣘⠴⢣⠜⣡⠏⣔⠫⡜⡱⢌⠳⣄⢋⠖⡩⢎⡱⡘⢆⠦⡱⢩⠍⡭⢭⠩⢭⠭⢭⠩⡍⣥⠣⠖⣌⢎⡱⢯⢿⣿⣧⣗⡌⣚⠤⡛⢤⡙⢦⡉⢦⡙⢮⡽⣞⣯⢾⣿⠀⠀⠀⠠⠀⠀⠀⠄⠀⠀⠠⠀⠀⠀⡀⠄⠂⠀⠀⠀⠠⠀⠁⠀⠀⠀
⠀⠀⠄⠀⠂⠀⠂⠀⠐⠀⠀⡀⠈⠀⠀⢀⠀⠀⠐⣺⡧⢈⠎⣕⠣⡜⣡⠞⡤⢛⠤⡛⠴⣌⠳⡌⢎⡱⣊⠕⣊⠦⡓⢬⡑⢎⡱⢌⠎⡜⡱⢊⡴⡙⢎⡲⣉⠖⡙⢆⣣⠙⢦⡙⢆⠧⡓⡤⢋⡜⠦⢎⠴⣊⠽⣞⣹⣿⢦⡑⢎⡱⢊⡜⢢⡙⢦⡙⢮⡽⣳⣞⡯⣿⠆⠀⠀⠀⠀⡀⠄⠀⠀⡀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠐⠀⠀⠀⡀⠈⠀
⠀⠀⠠⠀⠀⠄⠀⠐⠀⠀⠄⠀⠀⡀⠈⠀⠀⡀⠀⣿⠇⠌⡞⢤⢋⡴⢃⠞⡰⣍⠲⣉⠶⣈⠳⣌⠳⡰⡑⢮⡑⢎⡱⢣⠜⣡⠞⣌⠚⡥⢣⢍⠲⣉⠖⡱⢌⡚⣍⢒⢆⡛⡤⣙⠬⣒⢍⢲⢩⠜⣡⢏⡲⣭⣿⣽⠿⣉⠦⡙⢦⡑⢫⠜⣡⠞⡤⡙⢦⣻⢗⣯⢷⣻⣏⠀⠀⠀⠄⠀⠀⠀⠄⠀⠀⠐⠀⠀⠀⠀⠄⠂⠁⠀⠀⠀⠄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠠⠀⠀⠂⠀⠀⠀⠀⠀⠄⠀⢀⢰⣿⠈⡜⡱⢊⠖⣌⢇⠺⡱⢌⢣⡱⢊⡥⢓⡌⡣⢕⡩⢆⡙⢦⡑⡣⢎⡱⢊⡴⢋⡴⢃⠮⡱⢡⠞⡱⢊⠵⣈⠎⢦⡱⠜⡤⢳⠸⡌⢎⠦⡙⢦⡺⣝⣷⡿⣉⢎⡱⢊⡕⣢⠙⢦⡙⢆⠳⣌⠱⢣⢯⣟⡾⣝⣯⣿⠀⠀⠀⠀⠠⠐⠀⠀⡀⠠⠀⠀⠀⠂⠀⠀⠀⠀⠀⠐⠀⠀⠀⡀⠀
⠀⠀⠀⠁⠀⠐⠀⠀⠀⠄⠀⠐⠈⠀⠀⠀⠀⠀⢾⡿⠐⢬⠱⣩⠚⣔⡊⢧⠱⣊⠵⣈⠧⣘⠥⣊⠕⡎⠴⣋⠜⣢⠱⢥⠓⣌⠧⣘⠥⣊⢕⢪⡑⢣⢎⡱⢩⡒⡍⢎⡱⢌⣣⠱⣃⠳⢬⡙⢦⡙⣮⢷⣿⠛⡴⣡⠞⡰⢋⡴⢡⢋⠦⡙⣌⠳⣌⢣⢋⡾⣣⢿⣽⢲⣿⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠐⠀⠈⠀⠀⠀⠠⠀⠀⠀
⠀⠀⠁⠀⢀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠄⠀⠀⠀⣿⡟⢠⢃⠧⣡⠏⡴⣉⠖⣩⢆⢣⢃⠮⡑⣎⠱⡚⣌⠳⡌⢎⠥⣋⠆⡏⡔⢣⢎⠲⣉⠎⢦⡉⢇⢎⠴⢣⠜⣌⢣⠜⡲⢤⠓⣌⡓⢦⡙⢦⡹⣾⡿⢃⡞⠴⣡⠚⡥⢓⣌⠣⢎⡱⠱⣌⠳⣌⠲⣉⢾⡽⣛⣮⡗⣿⠄⠀⠀⠀⠀⡀⠈⠀⠀⠄⠂⠀⠀⠀⠄⠀⠀⡀⠠⠀⠁⠀⠀⠀⠀
⠀⠀⠄⠂⠀⠀⠀⠄⠀⠀⠄⠀⠀⠀⠀⠀⠐⠀⣿⡇⠢⣍⠲⣡⠞⣰⠡⢞⡡⢎⡜⣌⠣⢵⡈⢧⡑⢎⡱⢜⡩⡒⢥⡚⡱⢸⠡⢎⡱⢊⡼⢡⠎⡍⢎⡜⡡⠞⡌⣆⠫⡔⢣⡹⢤⡙⢦⡙⢦⡙⣿⢿⣧⣮⣕⡢⢝⡰⢋⠴⣩⠒⣍⠳⣌⠓⣌⢣⢍⠾⣝⡿⣼⡝⣿⠆⠀⠀⠀⠄⠀⠀⢀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⡀⠀⠁⠀
⠀⠀⠀⠀⠀⠠⠀⠀⠀⡀⠀⠀⠀⠄⠀⠀⠀⠠⣿⡃⠱⣌⠳⢤⢋⡴⡙⢦⡑⢎⠴⣊⠝⣢⠙⢦⡙⢦⠱⣊⠴⡙⢦⠱⡡⢇⣋⢆⠳⣉⠖⣡⠞⣩⠒⣬⠱⣉⠶⣈⠳⣘⠥⡚⢤⡙⢦⡘⢦⠱⣌⠲⣄⠫⡟⣿⣦⣑⢋⠖⣡⢋⠴⢣⢌⠳⡌⢎⡬⢻⡽⣞⣧⢟⣿⡇⠀⠀⠀⠀⠀⡀⠀⠀⠀⡀⠁⠀⠀⢀⠀⠁⠀⢀⠀⠁⠀⠀⠀⠀
⠀⠀⠀⠂⠁⠀⠀⠀⠄⠀⠀⠀⢀⠀⠠⠀⠀⠐⣿⡃⠱⣌⠳⣌⢣⠒⣍⠦⡙⡬⢒⡥⢚⠥⣋⠦⡙⢆⡣⢕⢪⢱⢊⠵⡑⢎⠲⡌⢧⡑⢮⡑⢎⠴⣉⠆⣇⢣⠚⣌⠳⣌⠲⣉⠦⡙⢦⡙⢆⠳⣌⠳⢌⠳⣘⠜⣻⣿⡌⡚⢤⢋⡼⢡⢎⡱⢊⡵⢨⢳⢿⣹⢮⣟⣽⡆⠀⠀⠀⠈⠀⠀⠀⠀⠄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⠀
⠀⠀⠀⠀⠀⡀⠄⠂⠀⠀⢀⠀⠀⠀⠀⠀⠀⢘⣿⡅⠓⣌⠳⣌⠲⡍⢆⡣⢝⡰⢋⡔⣋⠖⣡⠞⣡⠓⡜⣌⠣⢎⢎⢲⣉⠎⡵⣘⠱⣺⡧⢜⡸⡘⢦⡙⢤⡃⢏⡔⢣⡌⢣⠕⣪⠱⢆⡹⢌⠳⣌⠳⣌⠳⣘⠎⡵⣿⡧⡙⢆⡣⢜⡡⢎⢲⡉⢖⡡⣏⡿⣽⣳⡞⣿⡇⠀⠀⠐⠀⠀⠀⠐⠀⠀⠀⠀⠂⠀⠀⠠⠀⠁⠀⠀⠈⠀⠀⠀⠀
⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⠄⠀⢨⣿⠆⡹⢄⠳⣌⠳⣌⠣⣜⠢⠵⣉⠖⣡⠞⣡⠚⡤⢛⡜⢤⠛⣌⢎⠲⣌⢚⡴⢃⢣⣿⡗⡬⢒⡍⢦⡙⢦⠙⡆⢎⠵⣨⢃⠞⣡⢋⢆⠳⣌⠳⣌⠱⣌⠳⣌⠚⣵⣻⡧⡙⢦⡑⢎⡱⢊⠵⡘⢎⠴⣩⣟⣧⠷⣏⣿⡇⠀⠀⠠⠀⠈⠀⠀⢀⠀⠂⠁⠀⠀⠐⠀⠀⠀⡀⠈⠀⠀⠀⠐⠀
⠀⠀⠀⢀⠀⠀⢀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⢱⡎⢱⡈⢷⡈⢷⡈⢇⡹⣀⠏⣰⠉⣆⠹⢶⢁⠾⣆⠹⣰⠎⣱⠸⣆⠸⣁⡎⣿⡷⡈⢇⡸⢆⠹⣆⠹⡸⣈⠶⣁⡎⡹⣆⡉⡎⢱⡈⡶⡈⢷⡈⢷⡈⢹⡾⣿⣇⠹⣆⠹⣆⠱⠏⡶⢉⡎⡸⢱⡿⣎⡿⣇⣿⡇⠀⠀⠀⡀⠰⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠁⣀⣴⣿⡃⡱⡌⢧⡙⢦⡙⢆⡙⢦⠱⣘⠬⣅⠫⡔⣋⢆⡋⡖⣌⠳⡄⢏⡔⡣⢌⡓⠦⣜⢻⣷⣝⢦⡑⢎⡱⢌⠧⣱⢊⡵⢢⣝⣷⣿⡴⣩⠒⡥⢣⡙⢦⡙⢦⣹⢧⣿⡿⣌⠳⡌⡓⣌⠣⡝⡰⢍⠲⣉⢷⣻⡽⣞⡧⣿⡇⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠂⠀⠀⠀⡀⠀⠀⠀⡀⠈⠀⠀⠀⠀
⠀⠀⠀⠂⠈⠀⠀⠐⠈⠀⠀⡀⠀⠀⠠⢠⡿⠉⢻⣥⠓⡬⢣⢜⢢⡙⢦⡙⢦⡙⡤⢓⡌⢳⡘⡤⢓⡜⡔⢪⡱⢸⠡⢎⡱⢎⡜⡱⢌⣣⠻⣿⣿⣜⡧⣞⡼⣲⠵⣮⣽⣻⣾⡟⡿⣿⣷⣻⢶⣳⣎⡷⣾⣹⣾⡿⢏⠳⣌⠱⢬⠱⣌⠳⡌⡕⡪⢕⣊⠾⣵⣻⣼⢳⣿⡇⠀⠀⠐⠀⠀⠁⠀⠀⠀⢀⠀⠀⠄⠀⠀⠀⠀⠄⠀⠀⠀⡀⠁⠀
⠀⠀⠀⢀⠀⠀⠄⠀⠀⢀⠀⠀⠀⢀⢰⣿⠃⠀⠀⢻⣯⡔⢫⠜⣢⠙⢦⡙⢦⠱⣘⠥⡚⢥⠚⡔⢫⠔⣩⠣⡜⡡⢏⠲⡑⢎⡴⡑⢮⡐⢫⠜⡹⠿⣿⣾⣷⣿⡿⡾⢟⠯⡱⢌⡱⣉⠟⡿⢿⢷⡿⠿⢿⡻⢍⠎⡥⡓⣌⠳⣌⠳⣌⠳⡘⡴⣉⠖⣌⡻⣵⣳⡞⣷⣻⡇⠀⠠⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⢀⠀⠂⠀⠀⠀⠠⠀⠀⠀⠀
⠀⠀⠀⡀⠀⠠⠀⡀⠀⠀⠀⡀⠀⣀⣿⡃⠀⠀⠀⠀⠙⣿⡦⡙⣤⠛⣤⠙⢦⡙⣤⠓⣍⠲⣉⠮⡑⡎⢥⠓⣬⠱⣊⠵⣩⠒⡴⣉⠶⣉⠦⣋⠕⡣⢦⠱⡌⢆⡳⣉⢎⠲⣉⠞⣰⢉⠞⣌⠣⢎⡜⡙⢦⡑⢫⠜⡔⢣⡌⠳⣌⠳⢌⠣⡕⡢⢕⡊⣖⡹⣷⣭⢟⣎⣿⡟⣷⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠐⠀⠀⠀⠀⠄⠀
⠀⠀⠀⠀⠀⠀⡀⠠⢀⣤⣶⠶⠟⠛⠉⣿⡀⠀⠀⠀⠀⠈⢻⣷⣄⠫⡔⣩⠆⡵⢢⠹⡄⢏⢆⠳⡩⢜⢢⢋⡔⢣⡱⢊⡴⡙⠴⣡⠚⣤⠓⡬⢚⡱⢊⠵⡘⡥⡒⢥⡊⢧⡑⢎⡱⢊⠞⡤⢛⡔⢪⡙⢦⡙⢬⠚⣌⠧⡸⠱⣌⠳⣌⠳⡌⠵⣊⠴⣊⡵⣟⣮⠿⣬⣿⠂⠸⣷⡀⠀⠄⠀⠐⠀⠁⠀⠀⠀⠀⠀⢀⠀⠂⠀⠀⠀⠄⠀⠀⠀
⠀⠀⠀⢀⠐⣤⣴⠾⠛⠉⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠙⢻⣶⣉⠦⡙⡴⣉⠳⣘⠎⡬⢣⠕⣪⠑⡎⡜⣡⠎⡕⣢⢍⠳⡰⢍⠦⣙⡔⢫⠔⡫⢜⡱⢒⡍⢦⡙⢦⡙⡌⢖⣩⠚⡔⡣⡜⣡⠞⡤⡙⢆⡫⢔⢣⡱⢍⢆⠳⣌⠳⡘⡵⢌⡲⢥⢻⡽⣞⣻⣿⠃⢌⠀⢹⣧⣄⡠⠀⠀⠀⠀⢀⠀⠀⠐⠈⠀⠀⠀⠀⢀⠀⠀⠀⢀⠀
⠀⣀⣶⠾⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⡀⠀⠀⠀⠀⠀⠙⢻⣖⣍⠲⣡⠏⡴⣉⢖⡱⢊⠥⣋⠴⣉⠦⡙⡴⢡⢎⡱⢱⢊⡜⢦⠸⡡⢞⡱⢊⡴⢣⠜⣢⠙⢦⡑⢎⡱⢢⣙⠲⡱⠸⣄⠫⣔⡙⢦⠱⣊⠦⣑⠮⣌⠳⢌⢣⡙⠴⢣⠜⣪⢽⣺⣽⡿⠃⠰⠀⠌⣸⣏⠘⠛⠻⣶⣄⣀⠀⠠⠀⠠⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀
⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⡄⠀⠀⠀⠀⠀⠀⠙⢻⣷⣠⢛⠴⣉⠦⡱⢩⠖⣡⠞⡰⢣⡙⡔⢣⠎⣜⡡⢞⡘⢦⠩⡕⢪⠔⡫⢔⠣⢎⠥⣋⠦⣙⠬⡒⠵⣈⠧⣑⠫⡔⡍⢦⡙⢆⡣⢕⣊⢆⠳⣌⠳⣌⠣⡜⡩⢎⡱⢎⣯⣷⡿⠁⠌⠠⠑⢠⣾⠇⠠⢀⠄⠈⠉⠛⢷⣤⣀⠐⠀⠀⠀⠀⢀⠀⠀⠀⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣧⡀⠀⠀⠀⠀⠀⠀⠈⠻⣧⣞⠤⡓⣍⠲⣉⠦⡙⡴⢣⡑⢮⡑⣚⠤⡓⡬⢜⢢⢋⡜⢥⢚⡱⢊⡝⢬⠒⣥⠚⡤⢓⡍⢎⡱⢊⡬⢓⡜⣘⠦⡙⢦⠱⣊⠴⣊⠵⣈⠳⣌⠳⡌⡕⢪⡑⣺⣾⠟⠀⠌⠠⠁⠌⣼⡇⢈⡐⠠⠈⠄⡑⢀⠂⠉⡙⢷⣦⣄⠀⠂⠀⠀⠀⢀⠀⠠⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣤⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣥⡜⢣⢜⡡⠳⣌⠣⡜⢢⢕⡊⠖⡥⢓⢎⡱⢊⡜⢢⣃⠮⡱⡘⢆⡫⠔⡭⣘⠥⢪⡱⢌⠳⣌⠣⡜⢢⢣⡙⢆⡣⢕⠪⡔⢣⠥⡓⣌⠳⣸⠘⣥⣺⡽⠃⠀⠈⠠⠁⠌⣲⡟⢀⠂⠄⠡⢈⠐⡈⠄⡐⢈⠀⣀⠈⠙⢿⣤⣀⠀⠄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣎⣱⠓⣌⠳⡘⠥⡎⡜⣩⠒⡍⢦⠱⡩⢜⡡⢎⠲⢥⡙⡜⡰⢋⡴⢃⠞⣡⠚⣌⠳⣌⠳⣌⠓⢦⡙⢦⡑⢎⡱⢊⡕⣪⠱⣌⠓⢦⣹⣴⠟⠀⠀⠀⠀⠀⠡⣸⡿⠁⠂⡈⠄⡁⢂⠐⡀⠂⠌⡀⠂⠄⡈⠐⡀⠈⠻⣶⣄⡀⠀⠐⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣴⣣⢙⡚⢴⡉⢦⡙⡜⢢⠭⣑⠎⡴⣉⠞⡤⢓⡬⣑⢣⠜⣡⠞⣡⢋⠴⢣⢌⠳⣌⡙⢦⡙⢦⡙⢦⠱⣉⠖⣡⠓⡬⣹⣴⠟⠁⠀⠀⠀⠀⠀⠀⣥⡿⠁⠠⢁⠐⡐⢀⠂⡐⠠⢁⠂⠡⢈⠐⠠⠁⠄⠡⠀⠀⠙⢿⣦⣀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣮⣅⡚⠴⢣⢜⠣⢎⡱⢊⡵⡘⡜⡔⢫⠔⣡⠞⡬⡑⢎⠦⣉⠮⡑⢎⡱⢢⡙⢦⡉⢦⡙⢦⡙⢦⡙⢦⣹⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⢁⠂⡰⠀⠄⡁⠂⠄⡁⠂⠌⡐⠠⠈⠄⠡⠘⠠⢁⠂⠄⠀⠈⠿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣧⣎⡣⣍⠲⣉⠖⡱⠜⣌⢇⡚⢥⠚⡴⣉⠎⡖⣩⠒⣍⠎⡴⢣⡙⢆⡙⢦⡙⢦⡙⢢⣽⡶⠏⠁⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠀⠈⠀⠀⠠⠁⢦⡀⠡⠂⠄⡁⠂⠄⠡⠈⠄⠡⢈⠐⡀⠂⠌⡀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢶⣯⣴⣩⠜⣱⢊⠦⡙⢦⢹⢰⠡⢞⡱⢢⠝⡤⢋⡴⢣⠜⣪⠑⡦⡙⢦⣽⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠉⢺⡇⠠⢁⠂⠄⠡⠈⠄⠡⢈⠐⡀⠂⠄⣉⠐⠠⢁⠂⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢶⣯⣼⣱⢊⡱⢊⡓⢎⠴⣋⠜⡲⣉⠖⣡⠞⡰⢍⣲⡽⢏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢼⣯⠐⠠⠈⠄⠡⠈⠄⡁⢂⠐⠠⢁⠂⠄⣈⠐⠠⡈⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠷⢾⣭⣶⣡⠞⡱⢌⡚⡤⢛⠴⣉⣿⠳⠎⠶⣦⡀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣷⠀⠡⠈⠤⠁⠌⡐⢀⠂⠌⡐⠠⢈⠐⠠⢈⠐⡀⠂
⠶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢻⡿⣿⣦⡱⣉⠞⣢⢳⡿⠀⠀⠀⠈⠛⢧⣄⠀⠀⠀⣤⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⡌⠐⡈⠄⠡⢂⠐⠠⢈⠐⠠⢁⠂⠌⡐⠠⠁⠄⡁
⠠⠉⠘⠻⢷⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⡈⠐⡀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠁⠘⢿⣷⣡⠏⡴⣹⡇⠀⠀⠀⠀⠀⠈⠙⠷⣤⡼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢽⡧⠐⠠⢈⠐⠠⢈⠐⠠⢈⠐⠠⢈⠐⠠⠁⠌⡐⠠
⠀⠌⡀⠡⠈⠙⢻⣧⡔⢀⠀⡀⢀⠀⡀⠠⠐⠠⢈⠐⡀⢂⠁⢂⠰⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠻⣿⣞⡴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⢿⣆⠁⠂⠌⡐⠠⢈⠐⠠⢈⠐⠠⠈⠄⡁⠂⠄⡁
⠈⠄⡠⠁⠌⡐⠠⢈⠻⣷⣂⠐⡀⠂⠤⠁⠌⡐⠈⡐⢀⠆⠈⠄⠂⠄⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢃⠀⠀⢀⣀⣀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠈⢻⣦⠁⠂⠄⡁⠂⠌⡐⠠⠈⠄⡑⠂⠤⢁⠂⣴
⢈⡐⠠⢁⠂⠄⡁⠂⠄⡘⢻⣶⡀⢁⠂⡁⠂⠄⡡⠐⡀⠠⠁⣮⠰⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠶⣤⣀⡀⠀⠀⣾⡓⠀⠀⠠⣿⠋⣹⣷⠀⢛⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠂⠌⢹⣧⡈⠐⠠⢁⠂⠄⠡⢈⠐⠠⢁⠂⣔⣺⠟
⣷⣆⠁⠆⡈⠰⢀⠁⠆⢀⠀⠹⣷⠆⠰⢀⠉⠰⠀⢁⠀⠇⣸⡏⠀⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠿⢿⣿⠿⠀⠀⠀⠀⠸⠿⠿⠁⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠆⢹⡿⢀⠁⠆⡈⢀⠁⠆⡈⠰⠀⢶⣿⠉⡀
⣟⡿⣿⣶⣀⠁⠂⠌⡀⠂⠌⡀⠙⣿⡄⠂⠄⡡⠈⢀⣈⣼⠏⠐⠠⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠂⠌⠹⣧⠌⠐⣀⠂⠌⡐⢤⣡⣿⠛⢁⠠⠐
⣯⣳⢯⣽⣻⣷⣈⠐⠠⢁⠂⠔⡀⠘⣿⡀⠌⠀⠀⣦⡟⠡⢀⠁⢂⠁⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡐⠠⠙⣿⡀⢤⣈⣴⡾⠟⢉⠠⠘⡀⢂⠡
⡷⢯⣻⢶⣭⣟⣻⣦⡁⠂⠌⢐⡠⠂⠹⣧⠀⣠⣿⠋⠄⡁⠠⢈⠂⠌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠀⠹⣿⡛⠋⠡⠐⡀⠆⣐⡤⠐⢀⠂
⣟⣯⢷⣻⣞⣼⢧⣻⣷⡈⠄⠈⣷⣀⠈⣿⣾⠛⢁⠀⠂⠄⡁⠂⠌⡐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠡⠀⠘⣿⣄⣂⣥⣶⠿⢋⢡⣘⣤⣿
⣟⣮⡟⣵⢾⡭⣟⣧⢻⣿⡄⠃⠨⣷⠀⣿⡁⠰⢀⠊⢁⠂⠄⡁⠂⠄⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠌⠀⠘⢿⣯⣭⣴⣶⡿⢿⣏⠻⡵
⣟⢶⣻⣭⢷⢯⡷⣽⡳⣞⣿⠀⠄⢻⣯⡟⠀⡁⢂⠐⠂⠌⡐⠠⢁⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠠⢀⠠⠀⠠⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠌⡐⢀⠈⢿⣽⢣⣇⠿⣸⢎⡟⣱
⢎⣟⣧⡟⣾⡻⣼⣳⠿⣜⢿⣇⠀⣺⡟⢀⠂⡁⠂⠌⡐⠠⢀⢁⠂⡈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⣦⣥⣆⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠂⠄⠈⢻⣷⢪⢟⡱⢮⣝⣣
⢎⡼⣞⣽⡳⣟⣳⢯⢿⣝⠾⣿⡄⣿⠃⠄⠂⠄⡁⠂⠄⡁⠂⠄⢂⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣈⣿⠇⠘⣷⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠌⡐⠈⢿⣯⠞⣭⢳⢎⡶
⢎⠴⣫⢾⣝⣯⢯⢯⣛⣾⢻⢼⣿⢏⠈⠄⢃⠐⠠⢁⠂⠄⠡⠈⠄⢂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡉⠃⠌⠀⠹⣷⡌⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⠂⡐⠀⠈⢿⣿⡜⣣⠟⡼
⢎⠲⣩⢷⣏⡾⢯⣟⡽⣞⢯⡞⣿⣆⠈⡐⠈⠄⡁⠂⠌⠠⠁⠌⡐⠠⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡐⠠⠁⠂⠈⢿⣾⡱⣏⠷
⢎⡱⢜⢺⣼⢻⡽⣞⡽⣯⢯⣟⣼⡿⡄⠠⢁⠂⠄⠡⠈⠄⡁⠂⠄⠡⠈⠤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠁⠌⠠⢁⠘⣿⡗⡮⣝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⢀⣤⠶⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠉⠈⠹⣾⡃⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣠⠶⠛⠛⣦⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⢀⡼⠉⠀⠀⠀⢸⠇⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠟⠀⠀⠀⠀⠀⣾⣇⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠤⣤⡀⢠⡶⠓⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠀⢀⣼⠗⠹⣆⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⢠⡶⠛⠛⣦⢰⡟⠁⠀⠀⢷⡿⠁⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⣠⡾⠃⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⣠⠟⠀⠀⠀⢻⡟⠀⠀⠀⠀⣾⠁⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⠠⠾⢿⡀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠙⣧⣰⠏⠀⠀⠀⢠⡟⠀⠀⣀⣠⣀⡇⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣀⡴⠞⢧⡄⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⣸⠏⠀⠀⠀⢀⡾⠁⠀⢰⠟⠁⠹⡇⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⢀⡴⠏⠀⠀⢸⡇⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⢰⡟⠀⠀⠀⠀⡼⠇⠀⢀⡿⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢠⡟⠁⠀⠀⢀⡾⡆⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⢠⡟⠀⠀⠀⠀⣸⠃⠀⠀⢸⠁⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠋⠀⠀⠀⠀⣼⡷⠿⢦⡀⠀⠀⠀⠀⠀⠀⠙⣷⠏⠀⠀⠀⠀⣰⠏⠀⠀⠀⣿⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⣸⠏⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⣰⠟⠀⠀⠀⢸⡇⠀⠀⠀⠀⣿⣼⣧⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡆⠀⠀⢀⣴⠏⠀⠀⠀⠀⢸⣆⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⡏⠁⢸⡆⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠰⠚⢹⡏⠀⠀⠀⠀⠀⡿⡽⣆⠀⢀⡾⠁⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢰⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢠⡟⠁⠀⠀⠀⠀⣸⠇⠀⠹⣦⡿⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⣸⠄⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⡾⠃⠀⠀⠀⠀⠀⡿⠀⣀⣰⣋⣀⣤⡤⠤⠤⠼⠧⠤⣤⣄⣀⢀⡼⠃⠀⠀⠀⠀⠀⡿⠁⠀⠀⢸⣆⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢰⡇⠀⠀⠀⢀⣠⡴⠟⠛⠉⠉⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠙⢿⡁⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⣸⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣀⣀⣀⣴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⣷⠀⣀⣤⣀⣷⡄⠀⠀⢀⡾⠁⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠉⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣽⣾⡉⠀⠀⠉⠉⠛⢶⣾⠁⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠂⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⠒⠒⠓⠺⠷⢤⣀⡀⠀⠀⠀⢻⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⣠⣯⣄⣀⡀⠀⠀⠀⠀⠀⠈⠙⢷⡀⢀⡾⠛⠓⠒⣾⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⢸⡛⠀⠀⠈⠉⠙⠳⠦⣄⠀⠀⠀⠘⣿⠋⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⡀⠀⠀⠀⠀⠀⠀⢘⡟⡍⠛⠶⡤⠀⠀⠀⠈⠻⣦⢄⣴⠋⠀⠀⢠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠙⢯⡀⠀⠀⠀⢘⡯⠁⠀⠀⣴⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣼⣇⠀⠀⠀⠀⠀⠀⢀⡾⢷⡀⠀⠀⠈⢿⡀⠀⢀⡾⠀⠀⢠⡾⠁⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣀⣠⣤⠤⠶⢶⡖⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠈⠙⠶⣄⡀⠀⠀⣾⠁⠈⣷⠀⠀⠀⢸⣷⠞⠋⠀⢀⡴⠋⠀⠀⠀⠀⠙⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠐⠛⠉⠉⠁⠀⠀⠀⠀⢐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣆⡀⠀⠐⠏⠀⢀⣠⠿⠁⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠒⠚⠋⠁⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠉⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠀⠀⠀⠀⠈⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ʕ•̼͡•ʕ-̺͡•ʔ•̮͡•ʔ
𝓑𝓲𝓸 𝓽𝓮𝓶𝓹𝓵𝓪𝓽𝓮 𝓯𝓸𝓻 𝓽𝓱𝓮 𝓼𝓸𝓷𝓰:
𝓒𝓸𝓷𝓪𝓷 𝓖𝓻𝓪𝔂 ~ 𝓕𝓪𝓶𝓲𝓵𝔂 𝓛𝓲𝓷𝓮
(𝓬𝓱𝓸𝓸𝓼𝓮 𝓸𝓷𝓮) 🍄🍓🧸🍓🍄/🕷🕸☠︎︎🕸🕷/❤️🧡💛💚💙💜(𝓬𝓱𝓸𝓸𝓼𝓮 𝓸𝓷𝓮)
༺𝓢𝓬𝓪𝓽𝓽𝓮𝓻𝓮𝓭 '𝓬𝓻𝓸𝓼𝓼 𝓶𝔂 𝓯𝓪𝓶𝓲𝓵𝔂 𝓵𝓲𝓷𝓮~༻
── ⋆⋅☆⋅⋆ ──
𝓝𝓪𝓶𝓮:
𝓐𝓰𝓮:
𝓝𝓪𝓽𝓲𝓸𝓷𝓪𝓵𝓲𝓽𝔂:
𝓟𝓻𝓸𝓷𝓸𝓾𝓷𝓼:
𝓢𝓮𝔁𝓾𝓪𝓵𝓲𝓽𝔂:
𝓗𝓮𝓲𝓰𝓱𝓽:
── ⋆⋅☆⋅⋆ ──
༺𝓘'𝓶 𝓼𝓸 𝓰𝓸𝓸𝓭 𝓪𝓽 𝓽𝓮𝓵𝓵𝓲𝓷𝓰 𝓵𝓲𝓮𝓼~༻
── ⋆⋅☆⋅⋆ ──
𝓟𝓮𝓻𝓼𝓸𝓷𝓪𝓵𝓲𝓽𝔂:
𝓕𝓾𝓷 𝓯𝓪𝓬𝓽:
𝓟𝓪𝓻𝓽𝓷𝓮𝓻/𝓑𝓮𝓼𝓽 𝓕𝓻𝓲𝓮𝓷𝓭𝓼 𝓝𝓪𝓶𝓮:
── ⋆⋅☆⋅⋆ ──
༺𝓣𝓱𝓪𝓽 𝓬𝓸𝓶𝓮𝓼 𝓯𝓻𝓸𝓶 𝓶𝔂 𝓶𝓸𝓽𝓱𝓮𝓻𝓼 𝓼𝓲𝓭𝓮~༻
── ⋆⋅☆⋅⋆ ──
𝓐𝓷𝔂 𝓻𝓪𝓷𝓭𝓸𝓶 𝓲𝓷𝓯𝓸𝓻𝓶𝓪𝓽𝓲𝓸𝓷 𝔂𝓸𝓾'𝓭 𝓵𝓲𝓴𝓮 𝓹𝓮𝓸𝓹𝓵𝓮 𝓽𝓸 𝓴𝓷𝓸𝔀/𝓻𝓮𝓪𝓭:
── ⋆⋅☆⋅⋆ ──
(𝓬𝓱𝓸𝓸𝓼𝓮 𝓸𝓷𝓮) 🍄🍓🧸🍓🍄/🕷🕸☠︎︎🕸🕷/❤️🧡💛💚💙💜(𝓬𝓱𝓸𝓸𝓼𝓮 𝓸𝓷𝓮)
─── ⋆⋅☆⋅⋆ ──
༺𝓛𝓸𝓿𝓮 𝔂𝓸𝓾 𝓪𝓵𝓵, 𝔀𝓸𝓷𝓭𝓮𝓻𝓯𝓾𝓵 𝓹𝓮𝓮𝓹𝓼!༻
⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢠⡞⠉⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀
⠀⠀⢸⡇⣀⣀⣠⣤⣤⠶⠖⠀⡇⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀
⠀⠀⣼⠷⠟⢀⠀⠀⠀⡀⠀⠶⣧⠀⠀⢀⡟⠀⠀⣄⡀⠀⠀⠀⠀⠘⣇⠀⠀
⠀⠀⠻⣆⠀⠛⠀⠀⠀⠛⠀⢰⠟⠀⠀⢸⡇⣤⡾⠋⠙⠛⠶⠶⣤⡀⣿⠀⠀
⠀⠀⠀⢻⣄⠀⠻⠶⠟⠀⢠⣿⣤⣀⠀⣸⣧⣶⠀⠗⠀⠀⠰⠇⠈⣷⣿⠀⠀
⠀⠀⠀⠀⢹⡷⢦⣤⡤⢾⣏⣼⣤⠿⠛⠿⣤⣿⡀⠀⢦⣴⠆⠀⢠⡟⢻⠀⠀
⢀⣤⠴⣶⠛⣧⠀⠀⠀⣼⣿⠉⠀⠀⠀⣀⣤⡍⢻⣤⣀⣀⣠⡴⠋⢀⣸⠆⠀
⣿⠀⣄⠙⣦⡈⠛⠒⠛⢡⡟⠒⠛⡛⠋⠉⠀⠀⠸⣇⠀⠀⠘⢿⣟⡉⠁⠀⠀
⣿⠀⠹⡆⠀⠙⠛⠛⠛⠋⠛⣇⠈⢁⠀⢈⠁⢰⣟⠃⠀⠀⠀⢀⡾⠙⠳⣦⠀
⣿⣤⣤⡇⠀⠀⠀⠀⠀⠀⠀⠻⣄⡙⠛⠋⣠⡾⠙⠳⠶⠶⠶⠛⠁⣤⠀⢸⠁
⢸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⣀⣸⡟⠛⠻⣏⣀⠀⠀⠀⠀⠀⠀⠀⣿⠛⣿⠀
⢸⡇⠀⡇⠀⠀⠀⠀⠀⠀⣾⠉⠻⢦⣤⡴⠞⠉⢻⡄⠀⠀⠀⠀⠀⣿⠀⡟⠀
⠸⠃⠀⠇⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠀⠀⠀⠛⠀⠇⠀
🧑🤝🧑👨👦👦👪👨👩👧👦👵👴👩👦👩👩👧👫👩🏼🤝👩🏾
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢑⠪⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡠⠆⠀⠀⢀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢠⠏⢳⠀⠀⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⣐⣈⠐⡀⠀⠀⠀⠜⠀⠈⢧⠙⠆⡢⣐⢀⡀⢀⣀⠢⣔⣀⢤⠀⠀⢈⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠠⢽⣆⠸⠂⡄⠁⢂⡀⠀⢀⠁⠠⠀⠀⣠⣜⢾⣥⣇⢌⡳⣄⢀⡀⡄⢸⠀⠀⠀⠀⠀⡙⢄⠈⠑⣌⢦⡐⢍⠢⡄⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠀⠴⣁⡵⣋⢆⡱⢌⢠⠳⣤⠾⣖⣱⣟⣟⣷⣻⣟⣯⣻⣗⣾⣿⣿⣿⠿⢿⣟⠶⡶⣄⡈⡂⣑⠈⠲⣀⠙⢮⡳⣄⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠴⠋⣠⢜⣴⣏⣽⢯⣧⣻⣜⡯⣷⣝⣷⣿⣽⣿⣻⣿⣿⣾⣿⣿⣿⣿⣟⣉⣶⣟⡻⣫⣿⣽⡿⣿⣽⣻⡷⢶⣜⣫⣕⣝⢮⣵⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣌⢶⣤⡷⣏⢲⡜⣡⡾⢟⣯⣼⣿⣿⡽⣫⡞⣥⣾⣯⢿⣽⢾⣏⣿⠾⡽⣿⢾⣿⣽⣮⣿⡿⣿⡿⣿⣽⣶⠿⣽⢿⢷⡿⣾⣶⡿⣏⣾⢿⣏⢿⣕⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣼⣮⣷⣿⣾⣷⣿⢞⡗⣁⠺⢟⡻⢻⡗⣿⣿⢒⣺⣽⡾⣯⣾⣾⢿⣁⠆⣐⣿⣵⣿⠿⡛⢛⠿⣛⣛⣏⣷⣑⣎⡶⣰⢺⣷⣳⡿⣮⡿⣝⣮⢷⣻⠹⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡮⢚⡍⣩⢠⣴⣿⣿⣿⣿⣿⣿⣻⣏⣿⢧⣌⣿⣿⣿⣽⣾⣿⣿⢝⣷⡻⣿⢿⣦⣿⢾⣻⣏⣭⣴⣿⣿⣿⣍⣋⢽⣉⣡⣝⣭⣿⣯⢻⣷⣻⢿⣽⡿⣽⣞⣿⢼⣧⠷⢌⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚⠁⠀⣺⠌⣵⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⢿⣿⣾⣿⣿⣯⣻⣿⣿⣿⣿⣿⣿⣄⢿⣿⣟⠕⡎⠹⣿⣿⣿⣻⣽⣿⣷⣜⣦⣾⣟⣿⣿⣿⢿⣽⣻⣎⣿⣳⢯⣿⣾⡹⣷⡸⣂⠈⡦⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⣀⣤⣇⣟⣽⣸⡿⣷⣻⡿⣟⢿⣚⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣝⣿⣯⣑⣜⠸⣿⣿⣿⡇⢻⣿⣿⣿⣿⢿⣟⣿⣯⣟⣶⢿⡞⣷⢯⣿⢷⣟⣷⡻⣿⣼⣯⣔⢀⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢰⡩⢪⣼⡿⣿⣾⣿⣷⣻⣿⣽⣳⣾⡗⣮⢽⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡷⣿⢿⣿⣿⣿⡺⣿⣯⠸⢰⣌⢻⣿⡁⡯⢻⣿⣿⢿⣿⡿⣿⣽⡞⣿⣫⠽⣏⢿⡾⣿⣾⣽⣯⢿⡼⣥⠿⡻⣤⠀⠀⠀⣀⣀⡤⠄⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⢨
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⣰⣞⢞⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣗⢮⡷⠘⣿⡿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⡿⣿⢮⡳⣝⢿⣿⣿⢜⣻⣷⣜⠆⡣⣻⣿⡀⠈⢬⡷⣿⣿⣿⣿⣷⡿⣿⣿⢿⣜⣳⣿⣿⣿⣿⣷⣟⠼⣍⡿⣹⢟⡗⠘⢛⠦⣠⣐⠂⠀⠀⠀⠀⠀⠈⠢⠠⢄⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣼⣿⢟⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣼⣻⢾⡳⡔⢿⣷⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⡗⢼⡢⡳⢿⣾⣿⣿⣆⠣⣿⣿⣢⣃⢀⢣⣳⢄⠀⠳⡛⣿⣿⣼⣻⡷⣿⣿⡾⣜⣼⣿⣿⣟⣿⣿⣿⢷⣘⡷⣻⡼⣿⢐⡘⠦⡀⠘⢦⡀⠒⠒⠒⠂⠐⠢⣀⠀⠢⡀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢌⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠃⡼⣇⣿⣰⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣭⠋⡺⣿⣿⢻⡕⢿⣿⡿⣿⣿⣿⣿⣿⣶⡗⢼⠀⠳⡌⢿⣿⣗⢬⢹⡝⢌⠢⡑⢍⠚⡁⠀⠈⠹⣿⣿⣿⡁⠈⢿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣭⣟⣵⢻⣖⣼⡳⡄⢯⢪⡑⢄⠀⠀⠀⠀⠀⠀⢀⡀⠠⢆⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡑⠄⠀⡀⠘⠢⡀⠀⠀⠀⠀⠀⡽⣸⠇⣶⣯⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣍⣿⣿⣟⢯⣿⣿⡇⠙⠻⣿⣮⡛⠿⢿⣦⣁⠀⠀⠸⢻⣯⡃⠉⠻⠀⠁⠀⠀⠁⠀⠀⠀⠀⠀⣻⠓⠆⣰⠺⣝⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣻⠙⣮⢾⣟⣷⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠙⣼
⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠈⠢⡀⠉⠂⠀⠙⢦⡀⠀⠀⢀⡗⣽⣤⣿⣯⣩⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣯⡟⣿⣿⣧⣙⢟⠳⣦⣤⣠⢉⠛⠷⣦⣙⡛⠳⣤⢁⢈⡇⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠊⠓⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣽⣫⣟⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠓⠀⠀⠸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⠄⠀⠀⠐⢍⡦⠀⡈⢏⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⠶⡁⠈⠛⠇⠇⠀⡉⠛⠻⠛⠷⠶⠤⠥⠉⠉⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⢿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣯⣽⣏⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⠀⢘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠆⡳⢺⡒⢲⣹⢿⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⡾⠷⠴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⠟⣹⣾⣟⣿⠀⡀⠄⠀⠀⡐⠐⠀⠀⠀⣈⠦⠀⢀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣍⠀⣠⠊⢡⠘⡇⣡⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⡭⣉⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣷⡿⣟⡷⣿⣿⢈⣅⠀⠀⠀⠀⠀⣀⣀⣉⣡⣠⣦⣴⣿
⠀⠀⠀⠀⠀⠀⠠⠀⠠⠤⠀⠀⠠⠤⣵⣌⡳⠘⠖⠸⣿⣽⣯⣽⣾⣿⣿⢾⣿⣿⣿⣿⣿⣿⣿⡿⣿⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢿⣿⣿⣿⣿⣿⣽⡿⣿⠸⣤⣤⣶⣶⡶⠿⠿⠟⠛⠋⠁⠢⡐⢼
⠀⠀⠀⠀⠀⠀⠀⢩⡀⠀⢀⡣⡀⢜⢮⡉⠙⢦⠀⢀⢽⣿⡿⣿⣣⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⢀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣛⣿⣿⣿⣿⣿⣿⣷⣿⣿⠛⣛⢝⠫⡉⠀⠠⠀⢀⡀⠀⠀⠈⢹
⠀⠀⠀⠀⠀⠤⠚⠀⠙⣤⠠⡹⡌⠦⡁⣉⢯⡨⡙⣮⢸⣿⣿⣿⢻⣏⣿⣿⡏⣿⣿⣿⣿⣾⣿⡟⠋⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣿⣿⣿⣿⣿⣿⣟⢮⡺⡵⠯⠶⣅⠁⢀⠐⡀⢀⠴⠒⠂⠀⠈
⠀⠀⠀⠀⢈⡊⠉⢉⡇⠘⢻⡏⢻⣆⣉⣆⢸⣞⢷⣻⣎⣿⣿⣹⣿⡧⣿⣿⣏⣿⣿⣿⣿⣿⣟⠁⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣯⡙⢧⠄⠳⢤⣈⡟⠓⢾⡀⣀⠈⠁⠀⠀⠀
⠀⠀⠀⠀⣀⡋⠉⠹⣇⣀⢼⡇⣹⢿⣉⣭⣽⢻⣻⣿⣾⣷⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣻⣭⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⢸⣻⣿⣿⣾⣷⣿⡨⡀⠀⠈⠱⣅⡴⠈⠉⠋⡉⠉⠁⠀⠀
⠀⠀⠀⣸⣅⠉⡀⠐⠋⣡⢼⡇⡥⢿⠻⣤⡮⣼⡷⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣾⢍⡧⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢈⣿⣿⣿⣿⣿⣿⣷⠜⡀⣠⠗⢯⡀⠀⣇⠀⠉⠦⠴⠂⠀
⠀⠀⣀⣹⣬⡷⠼⠶⣛⡟⣸⡃⣟⢻⠚⣻⣽⣙⢿⣻⣻⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⡿⣽⣋⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣽⢿⣿⣿⣿⣿⡙⢕⠀⣲⡝⢫⣉⢑⣠⠞⠒⣌⠀
⠀⠴⣟⢉⠉⣙⢦⠴⣏⠉⢉⡥⣟⠫⠅⡋⠉⣩⡛⢿⢹⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⠃⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⣿⣿⣿⣿⣷⣿⣿⣿⡟⣿⠾⣷⡍⢯⡴⠟⢯⠀⡤⢆⠀⢸
⠀⠀⠀⠙⢶⡞⠃⠀⢈⡹⠙⢦⣷⣿⠾⣇⡶⣽⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠟⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢰⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣷⣞⡿⡚⣚⡶⣾⠛⢖⡀⡑⢬
⠀⠀⢀⡶⠋⡗⣍⠫⠫⠝⠛⣋⣛⣴⣦⣿⣿⣾⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢾⣿⣿⣿⣿⣿⣿⣿⣿⣏⣹⣯⣡⠿⢞⣩⣷⣾⣴⡮⠝⠩⠛
⠀⠀⠀⢱⣴⣼⣾⣷⣿⣿⡿⠿⡿⠿⠛⣯⢯⣟⢶⣿⡇⠸⣿⣿⠉⠻⣿⣭⡿⣿⢿⣿⣿⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⢦⣿⣤⠶⠛⠛⠁⠀⠀⠀⠀⠀⠀
⣛⠛⠛⠛⢛⠋⢻⠉⣫⣑⣌⣣⣿⠘⢋⣉⣿⣯⣿⣿⣷⠀⠛⢻⠂⢀⢹⣺⠛⣿⢻⣏⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠐⡆⢸⡦⣧⣞⢺⡻⣝⢿⡿⣥⣾⣿⣿⣿⣿⡀⣄⠸⣹⣿⠿⢿⡄⠉⠸⣿⣿⣾⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⡽⣯⢺⡿⡟⢈⠨⡥⠂⠀⡠⠤⠀⠀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⢾⠿⣋⠀⢮⣿⣿⣿⡿⢿⢿⠿⣿⣾⣟⣿⣿⡗⠖⠚⢿⡧⠶⠚⡇⠀⠀⢸⣿⠻⠍⢻⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠉⠙⠛⠷⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⠆⠀⠀⠈⢿⣿⡿⠌⠔⢻⢄⠀⠀⠀⠔⠒⠉⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⢢⡓⢽⣶⣏⣥⣼⣏⣻⣾⣦⣿⣿⣿⣿⣽⣽⣇⠰⡄⠀⠙⣄⠀⡇⠀⠀⠈⠉⠀⠀⠀⠙⠻⣿⣝⢿⡲⣄⠀⠀⠀⠀⠠⠀⠠⡴⠶⠤⢤⣀⣀⢀⠠⡀⠀⠈⠩⠑⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⢄⠠⣢⣶⣾⡿⣿⢿⠻⣟⣿⣷⡣⢄⡠⡫⣿⣇⠒⠊⠉⠈⠁⠀⠀⠀⠀⠙⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠀⠒⠙⢯⣨⠶⠴⢯⣾⣭⣭⢽⢿⣟⣿⢾⣿⣿⣿⣿⠀⢣⠀⠀⠸⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⢌⠻⣷⣄⠈⠳⡄⣴⣦⣴⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣵⣥⣶⣞⣧⣿⣶⣷⣾⣶⣷⣦⣮⣽⣟⠻⠾⣵⣿⣿⡌⠀⠀⠀⠀⠀⠐⠂⠀⠀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠁⠂⠐⣺⣻⡷⢺⡟⢹⣿⣯⣟⣽⣿⣟⣿⣿⣿⡽⣿⣿⣇⠈⢧⠀⠀⠈⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣝⠛⡷⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⡀⠀⠀⠀⢀⣾⣿⠿⢹⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣮⣿⣿⣧⠳⡀⠀⠀⠀⠀⠀⠀⣀⣠⡖⣛⣉⣾⡶⠶⠻⡛⢁⠀
⠄⠀⠀⠈⣱⡯⢾⣤⡷⣾⠳⣱⣿⢿⣧⣿⣿⣿⣿⣾⣿⡋⣿⡆⠈⠆⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠴⢦⣾⣿⣿⣿⣿⣿⣿⣳⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣰⣤⠏⠙⠛⠿⢿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣏⢺⣤⣤⣶⠶⣿⠿⠛⠁⣠⡾⣅⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠤⠒⢚⡷⠟⢉⣷⣾⣿⡿⡿⣻⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣿⣯⢹⣿⣿⣼⣛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠒⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢘⡤⣠⣴⠖⠀⣠⣞⡁⠀⠀⠀⠐⠀⠀⠀⠀⠀
⠀⠀⠀⠰⢉⣶⣶⣿⢿⡿⣹⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠉⢁⡆⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠹⠏⠈⡏⠉⠉⠿⠿⠹⠿⠿⠿⠿⠿⣿⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣹⣿⣿⣾⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠾⣹⣿⣿⣏⣷⠷⣿⡇⣷⡏⠉⠉⠿⠏⠉⠉⡉⠉⠁⠶⣆⣀⠀⠀⠀
⠄⠀⢀⠴⣻⡟⢽⣣⣿⢿⣽⣻⣿⣿⣿⡿⢿⣿⡿⠟⠁⠀⠀⠀⠨⣄⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣜⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣥⠟⣿⡿⠋⠀⠀⠀⠀⠀⢀⣞⢹⣿⣿⣏⠊⡀⡟⠉⠛⠛⠛⡛⣏⣿⣻⡟⢙⡇⣯⢿⣽⣿⣟⣟⣹⣿⣟⡻⣋⣟⣿⡷⣶⣀⡈⠛⠒⠢⣤⢂⡀⠉⠁⠀⠀
⠒⠈⠡⡴⠷⠿⠿⠟⠟⠋⠉⠉⠁⢀⣤⠶⠛⠁⠀⠀⠀⠀⠀⠀⣠⡿⣆⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢷⣾⡊⠲⢦⠀⠀⠠⠤⠤⠶⢖⠋⢈⣤⡾⠛⠀⠀⠀⠀⠀⠀⠀⠠⣨⣾⡽⢿⣿⡕⢦⠀⡀⠀⠀⠀⠀⠁⢈⡀⣦⢹⣴⠿⣿⠿⠿⠿⠿⣶⣶⣿⣿⣿⣯⡿⢶⡦⡾⣗⢦⣀⠴⢄⠈⠙⢄⠀⠀⠀
⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡙⠓⠶⣶⣦⣦⣶⣶⠖⠛⠗⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⡇⡌⠻⣶⣕⣚⠒⠂⠀⠚⢑⣛⣮⣵⡿⣋⣶⡿⠀⡀⠀⠀⠀⠉⠉⠉⠉⠉⠙⠛⠳⢿⣾⣷⣽⣯⣛⣓⣦⣀⠂⠀⠀
⠀⠀⠀⠀⣠⣤⢴⣀⣠⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠇⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢿⣿⣳⣇⠈⠀⠀⠌⠉⠙⠛⠿⠛⠋⠉⠁⠀⣼⠱⣿⡏⠀⠱⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠢⡀⠀⠙⠿⣿⣝⣯⣷⣽⣮⣶⣴
⠀⠀⠀⠀⢠⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⢲⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠛⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣟⣦⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠈⠂⠈⠢⡀⠀⠈⠻⣷⣞⠶⡦⣙⠾
⠁⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠋⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢀⢼⣹⡟⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠈⠛⠳⣭⡈⢻
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠁⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⠀⠙⠿⠶⢤⣤⣀⡀⠀⠀⠀⠀⠀⠀⣷⣺⢿⣧⣿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⢾⣿⠁⠀⢠⠆⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠐⢄⠀⠙⠿
⠀⠀⠀⠀⠐⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠷⣆⣀⣄⣥⣯⣾⡿⣿⠟⠉⠀⠀⢀⢔⠀⡀⠀⠀⠀⠀⠀⣠⣷⣿⠋⠀⠀⣼⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡄⠈⠂⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠟⡁⢄⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠉⠉⠁⠁⠈⠀⠀⢀⠀⠤⣥⣾⣷⣷⣤⡀⠀⣠⢼⣿⣿⠟⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢣⠀⠈⢨⡀
⠀⠀⠀⡄⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢾⣷⡶⡑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣾⣿⣿⠿⠛⠉⢨⠎⡷⣿⣿⠏⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⢈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠈⢧⠀⠀⠀
⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢪⡋⣆⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⣶⣶⣤⣤⣄⣠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⡿⠉⠀⠀⢰⠁⡂⣿⣿⠋⠀⠀⠀⢀⡼⠁⡀⠀⣀⡤⠆⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠖⠊⠃⠀⠀
⠀⠀⠀⡄⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠘⡆⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠶⠿⠿⠿⠿⢿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⡇⠀⢀⠀⣠⣱⣴⣿⠇⠀⠀⠀⢀⡾⠁⢀⡵⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠁⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⢹⡀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢮⣀⡐⠀⠈⠉⣿⠉⢻⢻⣿⣿⣿⠿⢋⣵⣿⣿⡖⣼⢂⠀⣸⣼⣿⠃⠀⠀⠀⢰⢾⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠀⡏⡀⠀⠀⠀⠀⠀⠀⠀⡠⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠈⣧⡀⠰⡀⢄⠘⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⠶⠾⢦⠿⠿⠟⠉⢀⣴⣿⡿⢿⡽⣷⢾⣲⣷⣿⡿⠁⠀⠀⠀⠀⢺⡼⠋⠀⠀⠀⠀⠀⠉⠒⠤⠤⣀⣀⡀⣀⣠⡴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢀⠔⠁⠀⣠⡶⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠘⢧⡀⠘⠄⠱⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⡶⢶⡶⢿⠻⠎⠀⢺⢼⡿⣿⣿⠿⠃⠀⠀⠀⠀⠀⣆⠈⢷⠤⠤⢤⢤⡤⣤⣀⠀⠀⠀⠀⡙⠛⠒⠒⠒⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠀⠁⠀⠀⠐⠁⠀⣠⠾⠋⠀⣸⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⢘⣏⠂⠑⠈⠀⠀⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⢸⠀⢠⡁⢸⣿⣿⠋⠁⠀⡇⠀⠀⠒⠀⠀⠙⡇⠈⡇⠉⠀⠁⠛⢈⣋⠿⠖⠂⠉⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣠⡏⠀⢠⣞⡇⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠈⢷⡄⠠⡘⠄⠠⡀⠙⢿⢶⣴⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠰⢣⢏⣾⢟⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠄⢻⣴⡅⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢻⡇⠀⠀⣿⣿⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠈⢳⡀⠀⠈⠂⠈⠢⣀⠈⠈⠉⠻⢽⢳⡖⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣧⡾⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⣜⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡷⣄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⠸⡇⠀⠀⠘⣿⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⡌⢷⡀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠈⠻⢾⣾⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢊⣴⣿⠃⡌⠘⡇⠸⣄⠀⢀⣀⣠⡜⠀⢀⣦⣼⣷⣅⠈⠢⠀⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠝⢮⡛⢗⠢⣄
⠀⠀⠀⠀⠀⠀⠀⢀⠼⠁⠀⠀⡇⠀⠀⠀⢹⡄⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⢷⡈⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡙⢟⢿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠆⠀⢠⣬⣵⢿⠏⣾⠇⠆⠀⣧⠀⠘⢆⠀⠙⠒⡇⢸⣎⠉⠳⡕⢿⣷⡄⠀⠀⠈⢝⠢⠠⢄⣀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠢⡑⢴
⠀⠀⠀⠀⠀⠀⠐⣡⠂⠀⠀⠀⣇⠀⠀⠀⠀⢳⡀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⢷⡔⠈⡷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠈⠋⠛⠿⢶⣶⣶⣾⣷⣿⠾⠟⣿⣿⠟⠛⡟⠹⡃⠀⢀⣿⠐⢡⣰⠏⢇⠀⢀⣁⣤⠚⢧⠀⠚⣧⡀⠀⠀⠙⢿⣧⡀⠀⠀⠑⣷⠀⠙⣿⢏⠻⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙
⠀⠀⠀⠀⠀⠠⠚⠁⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⣧⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢻⣄⠑⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣇⣾⠀⣰⠇⠀⡇⠀⢼⡏⣠⢞⡱⡆⠈⠉⠉⢀⠘⣆⠈⣇⠀⠌⢧⡀⠀⠀⠀⠙⢿⡢⡀⠀⠈⢳⡀⠸⣧⠅⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢀⡼⡇⢀⠀⢀⡘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⡸⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡐⡿⠀⣟⡁⢺⠗⡰⣿⢂⠐⣺⠚⠀⠀⠀⠖⠁⠀⢹⠀⠹⣤⠀⠈⢳⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠳⠀⢻⡄⢣⠙⣦⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⣠⠖⠋⠀⢿⠀⢩⣯⣤⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⠬⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡟⢠⡇⢠⡏⢀⢹⡀⢸⡟⠀⢈⡿⠠⠀⠀⠐⠃⠀⠀⠸⠀⠀⠘⣆⠀⠘⣇⠀⠀⠀⠀⠈⠀⢷⡀⠀⠀⢡⠈⣷⠈⠀⠙⣇⠈⠢⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠊⢛⠥⠂⠀⠀⠀⢘⡴⡷⠂⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢷⣝⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠄⡟⠀⣾⠇⢸⠺⣄⡿⠃⣀⡾⡇⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠉⢇⠀⢭⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢿⡧⠀⠀⠈⢧⡀⠈⠢⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡔⡜⠉⠀⠀⠀⠀⣴⠁⠈⣷⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡕⡌⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⠃⠘⢻⠃⢸⢢⣿⠃⠃⣿⡇⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠈⣧⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⢸⡗⠀⠀⠀⠈⢳⠀⠀⠘⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⣀⣀⣀⡐⠀⠊⠁⠀⠀⢙⣄⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣸⢹⢀⣽⣺⡟⢠⢰⡿⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠹⡄⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠸⡗⠀⠀⠀⠁⠈⠳⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢠⣿⣸⡇⢸⣿⠁⣼⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠻⡄⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠙⠢⣀⠑⢌⡢⡀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⣾⣿⠟⠀⣼⠇⣆⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠐⡀⠀⠹⣆⠀⠀⠀⠀⠘⡄⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⢸⠘⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠑⢌⠒⠒⢀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣽⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⣰⣏⣿⠀⣠⡟⢀⣷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⢳⠀⠀⠹⡄⠀⠀⠀⠀⠙⠀⠀⡐⢝⢦⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠠⡙⢆⡀⠀⠈⠢⡑⣝⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣝⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡶⢠⡿⠣⣿⠀⣿⢱⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠈⡇⠀⠀⠹⡄⠀⠀⠀⠀⠂⠀⠀⠀⠹⣆⠀⠠⠔⠁⠀⠰⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠑⢆⡀⠀⠀⠊⠙⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡆⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠐⣾⢓⣻⠇⣸⠃⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠹⡀⠀⠀⠀⠀⢹⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⢇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢤⠀⠀⠀⠀⠑⠝⢦⡀⠀⠀⠀⠀⠀⠀⠙⣿⣄⠹⣇⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⣼⢟⣥⡏⣰⠏⣼⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠤⠊⠀⠀⢳⡀⠀⠀⠀⠀⠇⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠈⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠲⣄⡀⢀⠂⡁⠙⢦⡀⠀⠀⠀⠀⠀⠨⣷⢄⠛⣷⡀⠀⠀⠀⠄⠀⡸⠃⣼⣋⢏⣾⡷⠃⣬⡿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡤⡑⢌⠢⡀⠙⠦⣄⠀⠀⠀⠀⠘⣧⠑⢌⢻⡄⠀⠀⡀⣰⠇⣰⠻⢼⣿⠏⠀⠀⠁⣽⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠊⠳⣌⠢⡀⢈⠙⠦⣀⠀⠀⠘⣆⠀⠀⠙⣆⠀⠴⡇⢰⣝⡴⠟⠁⠀⠀⢀⣴⡿⡃⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠽⣦⡱⣄⠈⠃⠀⠀⢸⣄⣀⣀⡜⣧⣠⠶⠛⠉⠀⠀⠀⢀⣴⡿⢩⡟⠁⠀⠀⠀⠀⠀⠀⣀⡐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠻⢷⢦⡤⣀⠀⣀⣀⡀⢸⡄⠀⠀⠀⢀⣠⣴⠿⠁⢰⣽⠃⠀⠀⠀⠀⠀⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⠙⠓⠒⠒⠃⠘⣀⣤⣤⣶⠟⠫⠀⠀⠀⢸⢾⠀⠀⠀⢀⠰⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠟⠛⠉⠀⠀⠀⠀⠈⠙⠻⠿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⠀⠀⢀⣀⣀⣀⣀⣤⣤⣤⣤⣶⣾⣿⡿⠿⠋⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣧⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⠀⠀⣿⣿⠟⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣼⣿⣷⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣾⣿⣧⠀⠀⠀⠀⠀⠀⣸⣿⠇⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⡋⠉⠉⠁⠀⢠⣶⡄⠀⠀⠀⠀⠀⢠⣶⡆⠀⠀⠉⠉⢹⣿⣷⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⢀⣿⣿⣷⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀
⠀⠀⠀⠀⠘⣿⣷⣶⠀⠀⠀⠘⠿⠃⠀⠀⠀⠀⠀⠘⠿⠃⠀⠀⠀⣶⣾⡿⠃⠀⠀⠀⠀⠀⣿⣿⠀⢀⣠⣴⣿⡿⠃⠉⠙⠛⠿⢿⣿⣿⣶⣶⣤⣄⠀⠀⢸⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠀⣀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠻⠟⠛⠉⢀⡀⠀⠀⠀⠀⠀⠀⠠⡉⠉⠛⢿⣷⡄⢸⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣿⣷⡀⠀⠀⠀⠸⣿⣷⣶⣾⣿⠋⠀⠀⠀⢀⣾⣿⣧⣄⠀⠀⠀⠀⠀⠀⣿⣿⣠⣴⣦⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⢻⣿⣸⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣄⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⣠⣿⣿⣿⡿⠿⣿⣶⣤⣀⣠⣴⣿⣿⠟⣿⣿⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⢸⣿⡇⣿⣧⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣦⣄⣀⣀⣀⣀⣀⣠⣴⣿⡿⠛⢀⣿⡇⢀⣨⣽⣿⣿⣿⣿⣭⣀⠀⣿⣿⠀⠀⠀⠀⣴⣤⣀⣀⣠⣤⡄⠀⠀⠀⠀⣾⣿⠀⣿⣿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠻⠿⠿⠿⠿⠿⠟⢻⣿⡇⣠⣾⣿⣷⣿⠿⠛⠉⠀⠈⠙⠻⢿⣿⣿⣿⣷⡄⠀⠀⠘⠻⠿⠿⠿⠋⠀⠀⠀⢀⣼⣿⠃⠀⣿⣿⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣿⡏⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠋⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠃⠀⠀⢹⣿⡄⠀⠀
⠀⣠⣶⣾⣿⠿⢿⣿⡏⠉⠘⣿⣷⡀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣾⡷⠀⠘⣿⣿⣿⣶⣤⣤⣤⣤⣴⣾⣿⡿⠋⠀⠀⣀⣤⣾⣿⠇⠀⠀
⣼⣿⠋⠁⠀⠀⠀⢻⣿⣆⠀⠈⠻⣿⣶⣤⣤⣤⣶⣿⠟⢁⣿⣧⣤⣤⣤⣴⣶⣾⣿⣿⠿⠿⠛⠋⠁⠀⠀⠀⣿⣿⠈⠉⠙⠛⠛⠛⠉⢹⣿⣦⣶⣾⣿⠿⠟⠋⠀⠀⠀⠀
⣿⣿⠀⠀⣰⣦⠀⠀⠻⣿⣦⣄⠀⠀⠉⠛⠛⠛⠋⠀⢠⣾⡿⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⠀⠀⠀⠀⠀⠀⠘⣿⣿⣭⣀⣀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠀⠀⠙⣿⣷⡀⠀⠈⠻⢿⣿⣶⣤⣤⣤⣤⣤⣶⣿⣿⣷⣤⣤⡀⠀⠠⣿⡷⠀⠀⠀⠀⣿⣷⠀⠀⣠⣤⣤⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⣿⣿⣶⣤⣄⡀⠀⠀
⣿⣿⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠉⠁⠈⠛⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠇⠀⠉⠛⠿⣿⣦⡀
⣿⣿⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡀⠀⠀⣾⣦⣄⣠⣾⡷⠀⠀⢠⣿⡿⣿⣶⣄⡀⠀⠀⠀⠀⠀⣀⣴⣿⡿⠋⠀⠀⠀⠀⠀⢸⣿⡇
⣿⣿⣄⣀⣀⣀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⡀⠀⠈⠙⠛⠛⠋⠀⠀⣰⣿⡿⠁⠈⠙⠿⣿⣿⣶⣾⣿⣿⠿⠟⠉⠀⠀⢀⣀⡀⠀⠀⢸⣿⡇
⠛⢿⣿⠿⠿⠿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣦⣄⣀⣀⣠⣴⣾⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣀⣀⣸⣿⡇
⠀⢸⣿⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⡟⠛⠛⠛⠛⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠛⢿⣿⡿⠃
⠀⢸⣿⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣿⠿⠃⠀⠀⠀⠀⠛⢿⣿⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀
⠀⢸⣿⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠛⠉⠹⣿⣷⣤⣄⣀⣀⣠⣴⣿⡿⠋⠉⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀
⠀⢸⣿⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠈⠙⠛⠻⠿⠿⠟⠛⠉⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀
⠀⢸⣿⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⠇⠀
⠀⠈⠁⠀⠀⠀⠈⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠉⠀⠀
૮꒰•༝ •。꒱ა !!! 🎀🍡🍥🌊૮꒰•༝ •。꒱ა !!!
☾⋆⁺₊🎧✩°｡☾⋆⁺₊🎧✩°｡˚୨୧⋆｡☾⋆⁺₊🎧✩°｡☾⋆⁺₊🎧✩°｡⋆ ˚｡ ⋆୨♡୧⋆ ˚｡ ⋆🐣(•ө•)♡(•ө•)♡⋆ ˚｡ ⋆୨♡୧⋆ ˚｡ ⋆⋆ ˚｡ ⋆୨♡୧⋆ ˚｡ ⋆☾⋆⁺₊🎧✩°｡☾⋆⁺₊🎧✩°｡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀
⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢶⢯⣱⠀
⡧⡞⠁⠻⢗⣦⡀⠀⠀⣐⣦⣬⡼⢟⠳⠶⣄⣀⠠⡞⡴⠋⠀⡗⠂
⡗⣇⠀⢁⠀⢺⡕⢶⡚⡱⢌⡱⢚⡋⣌⢣⠹⣌⠳⢿⡀⠐⣰⠽⠀
⠸⡞⣆⡀⠂⢠⠞⡡⢜⡡⠎⡔⢣⠜⢤⠃⠧⣌⢣⡙⣶⡼⡳⠃⠀
⠀⠘⠦⣝⡣⢟⡌⠷⠃⢸⡱⣌⢣⠚⡤⢋⠖⡤⢃⡞⠈⡟⠁⠀⠀
⠀⠀⠀⠈⠙⣷⢸⢦⣤⣶⣶⣡⠃⣝⡰⣉⠖⣡⢟⣾⣟⠃⠀⠀⠀
⠀⠀⠀⠀⠀⣋⢞⠘⣿⣿⣿⣿⣧⠘⡰⢡⠚⡤⣿⣿⡿⢸⠀⠀⠀
⠀⠀⠀⠀⠀⠩⢞⣑⡹⢿⣿⣿⠟⠀⠷⢓⣻⣲⠿⢟⠱⡚⠀⠀⠀
⠀⠀⣠⠄⠀⠀⠙⢿⣏⠀⠀⠈⠀⠀⠀⠠⠿⠧⠀⣀⠔⠀⠀⠀⠀
⠀⣰⣅⣽⣀⣀⣀⣀⠈⢁⡖⢢⢠⡤⠤⢤⠐⠒⠉⠀⠀⠀⠀⠀⠀
⠀⣿⣩⢛⠤⣃⠎⡥⢋⠵⣈⠇⣎⠁⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⢹⡌⢲⢡⠚⡴⢉⠲⣡⠚⡤⠇⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢈⣎⡱⢌⠽⠢⢽⡦⡑⢎⡜⠀⡀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⣟⢡⠚⢞⠛⡦⢸⡇⡜⡾⡘⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢳⡩⣬⢣⣝⣄⠈⡓⠬⣷⣡⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠘⣉⣉⠠⣤⣇⠀⢋⠛⢃⣌⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠹⣿⠃⠈⠁⠀⠈⢶⣿⠹⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠞⠋⠛⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠿⠷⢾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠛⠛⠛⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣨⡿⣦⣤⣴⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⣠⠀⠀⠀⢠⡌⢷⡀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠉⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⢠⡟⠀⠀⠀⠘⣿⡌⣷⠀⢀⣠⣄⣀⣾⢣⣤⣤⣄⣀⣠⣤⣤⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⢠⣿⡇⠀⠀⠀⠀⢿⣷⣾⡷⣿⠉⠈⢻⡿⢶⣤⣤⣿⣿⣯⣤⣴⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠟⣿⠀⠀⠀⠀⠀⢸⣿⣟⢿⣽⣷⡶⠟⠀⢸⡇⠀⢸⡇⠉⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⣿⠙⢷⣼⠉⠉⣻⣦⣾⠁⠀⢸⡇⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣻⠛⣿⡶⠚⣿⠉⠀⢀⣿⠀⠀⢸⣎⢻⡀⠀⢸⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⣿⣿⠀⣿⠀⠀⣼⣇⣀⡀⠘⣿⠾⢿⡶⢾⣿⠶⢾⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢻⣿⠀⣿⠀⠀⠉⣿⢻⣿⢻⡟⠀⠸⡇⢸⣿⡆⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⡿⢻⣶⠏⠀⠀⠀⣿⣸⣿⣤⡇⠀⠀⣷⣼⣿⣷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠉⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿