Dot Counting Emojis & Text

⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜
⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜
⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜
⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜
⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜
⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛
⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛
⬛⬛⬛⬛⬛🏻⬛🏻⬛🏻⬛⬛⬛⬛⬛
⬛⬛⬛⬛🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬛
⬛⬛⬛🏻🏻🟪🏻🏻🏻🟪🏻🏻⬛⬛⬛
⬜⬛⬛🏻🏻⬛🏻🏻🏻⬛🏻🏻⬛⬛⬜
⬜⬛⬛⬛🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬜
⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜
⬜⬛⬛⬛⬛⬛🟪🟪🟪⬛⬛⬛⬛⬛⬜
⬛⬛⬛⬛⬛⬜🟪⬜🟪⬜⬛⬛⬛⬛⬛
⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛
⬛⬛⬛🏻⬜⬛⬜⬜⬜⬛⬜🏻⬛⬛⬛
⬜⬛⬛⬛⬛🟪⬜🟪⬜🟪⬛⬛⬛⬛⬜
⬜⬜⬛⬜⬜⬛⬛⬛⬛⬛⬜⬜⬛⬜⬜
⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜
⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜⬜⬜⬜⬜⬜

new homura akemi puella magi madoka magica emoji art text art ascii art

⏳+🛡️+💜+👓

new homura akemi time loop shield moemura glasses rebellion story PMMM

🦋🖤💜

new homura akemi akuma homura rebellion story puella magi madoka magica PMMM madoka magica demon homura devil homura

👓⏳💜

new homura akemi moemura puella magi madoka magica PMMM madoka magica glasses homura timid homura magical girl

♾️💜➡️💖

new homura akemi puella magi madoka magica PMMM madoka magica madoka kaname time loop devotion for madoka

🔫💣💜

new homura akemi puella magi madoka magica PMMM madoka magica guns bombs weapons magical girl

⏳🛡️💜

new homura akemi puella magi madoka magica PMMM madoka magica time travel shield soul gem magical girl

⏱️👓🟪

new homura akemi puella magi madoka magica PMMM

⏳🔁🌸

new homura akemi madoka kaname time loop PMMM

🕰️🛡️💜

new homura akemi puella magi homura's shield

💜⏳🛡️

new homura akemi PMMM puella magi madoka magica

💜⏳⌚️🔁

new homura akemi time loop puella magi madoka magica

💜⏳️👓➡️🛡️🕰️🔄

new homura akemi moemura puella magi holy quintet

🔥⏳️💜🔫

new homura akemi puella magi madoka magica madoka magica

🛡️🕰️💜

new homura akemi puella magi madoka magica madoka magica soul gem

🤓⏳️➡️😎💜

new homura akemi moemura coolmura puella magi madoka magica madoka magica

⏳️🔫💜🖤

new homura akemi puella magi madoka magica madoka magica

🕰️👓🛡️💥

new homura akemi moemura

💜🔄🌸

new homura akemi saving madoka madoka kaname MadoHomu

🤓🎀💖

new homura akemi madoka kaname MadoHomu moemura glasses homura timeline start first meeting

✨🪶😈

new homura akemi madoka kaname MadoHomu PMMM Rebellion devil homura akuma homura ultimate madoka trapped goddess rebellion movie

🕰️

new homura akemi madoka magica time stop combo unlimited arsenal military weapons magical girl fight

🛡️➡️💖🏹

new homura akemi kaname madoka HomuMado time loop motivation madoka magica

💜🕰️💥💥

new homura akemi madoka magica time magic soul gem color

👓⏳😈

new homura akemi madoka magica moemura devil homura akuma homura rebellion story

⏳🛡️💣🔫

new homura akemi madoka magica time stop weapons barrage puella magi

⏱️👓💜🛡️

new homura akemi puella magi

💜🧐¹⁵⁰•••

new homura akemi i counted exactly 150 dots counting dots akemi homura

⏳️🪛💜

new homura akemi akemi homura

🗿¹⁵⁰・・・

new 150 dots meme i counted exactly 150 dots homura akemi

💖🏹💜⏳️💛☕️💙⚔️❤️🔱

new madoka kaname homura akemi mami tomoe sayaka miki kyoko sakura holy quintet main cast magical girl team

💖🏹💜⏳️🛡️

new madoka kaname homura akemi madoka homura time loop magical girl duo bow and arrow shield

🌸💜🔗

new madoka kaname homura akemi puella magi madoka magica PMMM MadoHomu HomuMado soulmates intertwined fate madoka magica bond

👓⏳️➡️🌸

new madoka kaname homura akemi puella magi madoka magica PMMM MadoHomu HomuMado time loop moemura saving madoka origin story

🙏💖😈💜

new madoka kaname homura akemi puella magi madoka magica PMMM madoka magica rebellion ultimate madoka godoka devil homura law of cycles akuma homura

💖🏹💜🔫

new madoka kaname homura akemi puella magi madoka magica PMMM MadoHomu HomuMado magical girl archery firearms madoka magica weapons

🌸⏳️💜🛡️

new madoka kaname homura akemi puella magi madoka magica PMMM MadoHomu HomuMado time loop magical girl shield pink and purple

🎀♾️💜

new madoka kaname homura akemi PMMM yuri infinite

🕊️💖💔😈💜

new madoka kaname homura akemi godoka devil homura akumura rebellion story PMMM

🎀🏹⏳🛡️

new madoka kaname homura akemi PMMM time loop

💖💜⏳

new madoka kaname homura akemi puella magi madoka magica PMMM yuri time loop

💖💜💛💙❤️

new madoka kaname homura akemi mami tomoe sayaka miki kyoko sakura magical girl quintet PMMM puella magi madoka magica

💎🪣💜

new akemi homura homura akemi madoka magica puella magi madoka magica soul gem

✨️💜💀

new akemi homura homura akemi madoka magica puella magi madoka magica mahou shoujo dark magical girl soul gem corruption

🕰️🔫💣

new akemi homura homura akemi madoka magica puella magi madoka magica time magic weapons cache

👓🎀➡️😈

new akemi homura homura akemi moemura homucifer madoka magica puella magi madoka magica character transformation

⏳💜🛡️

new akemi homura homura akemi madoka magica puella magi madoka magica

🩷🏹💜🕰️💙⚔️💛☕️❤️🍎

new madoka kaname homura akemi sayaka miki mami tomoe kyoko sakura main cast

😈🦋🖤💜

new akuma homura homura akemi puella magi madoka magica rebellion madoka magica devil homura anime movie

⏳💜😈🪽

new devil homura homura akemi time loop end smug devil akuma homura PMMM Rebellion wings of darkness

💖🏹💜⏳💙⚔️💛☕❤️🍎

new madoka kaname homura akemi sayaka miki mami tomoe kyoko sakura magical girl quintet

💖🏹💜⏳

new madoka kaname homura akemi MadoHomu

✨💖💜💎

new goddess madoka homura akemi soul gem madoka kaname magical girls MadoHomu

🎀⏳💞

new madoka's ribbon homura akemi madoka x homura MadoHomu GL

💖💜⏳🏹

new madoka kaname homura akemi MadoHomu GL magical girls

✨🌸🦋

new madoka kaname homura akemi MadoHomu ultimate madoka law of cycles homura transformation butterfly symbolism fanon homura

🏹🛡️

new madoka kaname homura akemi MadoHomu magical girls

💖⏳💜

new madoka kaname homura akemi MadoHomu pink and purple

🔢¹⁵⁰・・

new exactly 150 dot count 150 dots copypasta text numerical precision homura akemi reference PMMM meme

⏳👓🏹

new puella magi madoka magica PMMM homura akemi time loop

💜⏳🛡️👓

new puella magi madoka magica PMMM homura akemi time loop

😈🪽💎💜

new devil homura akuma homura homura akemi PMMM Rebellion madoka magica black wings purple soul gem

👓🕰️¹⁵⁰..

new glasses homura moemura homura akemi 150 dots i counted early homura

🏹💖⏳️💜

new puella magi madoka magica pmmm madoka kaname homura akemi madoka homura time loop

💎🪽

new devil homura soul gem corruption akuma homura PMMM Rebellion homura akemi

💖💜🏹⏳

new MadoHomu HomuMado madoka x homura madoka kaname homura akemi

💖🏹+💛☕️+💙⚔️+❤️🍎+💜⏳

new puella magi holy quintet madoka kaname mami tomoe sayaka miki kyoko sakura homura akemi weapons character colors PMMM

Madoka Magica Character Emoji's

Madoka: 💝🎀🌸🏹
Homura:💜🕰️⏳🔮
Mami: 💛🌼🎗️🍵
Sayaka: 💙🗡️🎼🌊
Kyoko: ❤️🍎🍡🔥

new madoka magica madoka kaname homura akemi mami tomoe sayaka miki kyoko sakura magical girl

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣵⡷⣯⡗⢜⣗⢽⡇⢐⠀⡂⢐⠀⡂⢐⠈⠄⠡⠐⡈⢐⠀⡂⢐⠠⢈⠐⡀⢢⡏⢮⡺⣟⡾⣽⣝⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢽⣳⣟⣷⣻⢸⡪⣗⡿⣄⢂⠐⡀⢂⠐⡀⢂⠡⠈⡂⢐⠀⡂⢐⠀⡂⢐⠀⡂⢼⡣⣳⢽⡯⣟⡷⣯⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⣯⢷⢷⣳⣟⡆⣟⢮⣟⡯⠃⠓⢄⢂⡐⢀⠂⠄⠣⠨⠢⠂⡐⢀⢂⢐⠀⢢⢾⣻⢜⢮⢯⣟⣯⢿⡽⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡰⣗⡿⣽⢯⡷⣯⣗⢕⡯⣾⠀⠀⠀⢐⠑⢌⢓⠢⡅⡢⡈⢄⢅⠆⢆⠪⠂⠀⠀⢹⡳⣱⣫⢿⣺⡽⡯⡿⣽⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣸⢽⢽⡽⣯⢿⠉⠓⠛⡪⡯⡾⡄⡀⠂⡂⠅⡑⠌⠌⢌⠪⠪⡂⠢⠡⠡⢑⠐⢄⠀⣞⢕⡵⡽⡯⠷⢻⣻⡽⣯⡗⣗⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢮⡳⣝⣯⢿⡽⠀⠠⠀⠅⠨⣳⢽⣻⣇⠐⠠⢑⢄⢁⠑⠄⢕⠑⠌⡈⡈⡄⠡⠀⠄⢨⢗⣕⢯⠁⠠⠀⠄⠸⣯⢷⣻⣳⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣳⢝⣾⢽⡻⠀⠐⠀⠐⠈⡂⢱⡫⣷⣗⢵⢹⡸⣕⢧⡫⣲⢪⢮⡲⣕⡝⡼⡱⡔⡄⡽⣸⣪⠃⠠⠁⠠⠀⠄⠹⣯⣟⡾⣯⡇⠀⠀⠈⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣞⣯⢿⡽⠁⡀⢁⠈⠀⢂⢐⢴⢝⡾⣽⣪⢣⡳⣱⢣⡫⣎⡧⣳⢕⢵⢹⢕⢯⢪⣳⢝⡮⡮⡄⠃⠐⠀⠂⠠⠀⢱⣯⣟⣷⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢨⣲⣻⣞⡯⠁⡀⠄⠀⠄⠁⡀⡐⢵⡹⣺⣽⡺⣕⢝⡜⡞⣮⡳⠡⡣⣻⢕⢗⡝⡼⣱⢽⢕⡯⣺⠈⠄⠂⠁⠐⠀⠂⠐⢳⢷⣳⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢰⣳⢵⣗⡯⠃⠀⠄⠐⠀⠂⠠⠀⢪⠈⣞⢜⢾⣽⡪⣣⢳⢝⢼⠈⠄⠅⢳⡫⣳⢝⡜⡮⣳⢯⢺⠨⡊⠠⠀⢁⠈⡀⢈⠀⠄⢻⡽⣯⢯⢖⣄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢝⣾⣻⠞⡀⡀⡁⡀⠂⠈⠠⠐⠀⠘⡄⢪⢇⢗⡵⣟⡼⡑⢱⡃⠠⢈⠂⠨⣪⠘⣗⢵⢽⡪⣇⠇⠕⠀⡀⠂⠀⠄⠀⠄⠠⠀⠄⠻⡽⣯⣟⡮⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂
⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡮⣟⡷⣯⡕⡐⡐⡐⠌⢌⠂⠂⠄⢁⠠⠘⢄⠹⣕⠯⣯⢂⠂⡵⡁⠈⠢⡁⢀⢣⢇⠈⢝⡧⡳⡕⢈⠂⢁⠀⠄⡁⢄⢂⢂⢂⢂⢂⢢⣻⣗⣯⢯⢧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⢷⣟⣷⣻⣔⢐⠌⢌⠢⠡⡑⢌⠐⢄⢀⠑⡀⢀⠁⠋⠋⢻⡸⠙⠳⠵⡺⠮⢳⢹⠛⠓⠫⠁⠠⠂⡀⢄⠢⡑⢌⢂⢂⢂⠢⡂⣲⢯⣷⣻⣞⡿⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠠⢀⡯⣿⣺⣞⣷⣻⠦⢡⠡⠡⡑⢌⠢⡑⡐⠄⢕⢂⠠⠀⡈⠠⢸⡪⠀⠠⠀⠄⠠⠈⣞⠆⢁⠀⠂⡑⠌⢌⠢⡑⢌⢂⢂⢂⠢⢱⠈⢿⡽⣞⡷⡯⣯⢷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢠⣳⣫⣷⣻⣞⡾⠑⠀⠀⠑⡑⢌⠢⡑⡐⠌⢌⠢⡂⠀⠄⠠⠀⠑⢝⠀⠂⠀⠂⠠⠀⠓⠁⡀⠄⠂⢈⢌⢢⠑⢌⢂⠢⡂⡢⡑⠁⠀⠈⢿⢽⡽⣯⢿⣽⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⣗⣿⣺⣗⣯⡗⠀⠀⠀⠀⠢⠑⢌⠐⠘⢌⠢⡑⢄⠐⠀⠐⠀⠂⠀⠄⠈⡀⢁⠀⠂⢁⠠⠀⠄⠈⢐⢐⠀⠀⠄⢀⠠⠀⠂⠀⠀⠀⠀⠀⠙⣯⢯⣟⡾⣮⣳⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⣟⣞⣷⣻⣞⠇⠀⠀⠀⠀⠈⡐⠀⡈⢀⠀⠑⢌⠢⡀⢈⠀⢁⠈⡀⠄⠁⡀⠠⠀⡈⢀⠠⠀⠂⠈⢔⠐⠀⢁⠠⠀⠄⢂⠁⠀⠀⠀⠀⠀⠀⢺⡯⣷⣟⡷⣗⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡷⣯⢷⢷⣳⠃⠀⠀⠀⠀⠀⠀⠢⠀⠠⠀⠐⢀⠠⠡⡃⠀⠄⠠⠀⠠⠀⠂⡐⠌⢀⠀⠄⠠⠐⠀⢡⠃⢀⠈⡀⠠⠀⠄⡂⠀⠀⠀⠀⠀⠀⠀⠈⢿⣳⢯⡯⣟⡮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢰⢝⡾⣯⢿⣽⠂⠀⠀⠀⠀⠀⠀⠀⠈⡐⠀⠂⠁⡀⠠⠨⡨⠀⠐⠀⠂⢐⠠⠑⠅⠑⡀⠠⠀⠂⠐⠈⡌⠠⠀⠄⠀⠄⢐⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⢿⡽⡽⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢵⣻⡽⣯⣟⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠐⠈⢀⠀⡈⠢⡘⡀⢈⠀⡈⠀⠄⠂⠐⠀⠠⠀⠂⢀⠁⢐⢄⠅⢀⠐⠀⠂⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⢿⣽⣻⣞⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢕⣯⣟⣗⣯⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡊⠠⠀⠄⢀⠐⡐⠄⢀⠠⠀⠐⠀⠂⠁⢈⠀⠐⠈⠀⠄⢰⠁⠀⠄⠀⠂⠁⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡽⣾⣺⢾⡕⠀⢀⢂⢄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡡⡠⡀⠘⣞⣾⣳⠃⢀⡀⣄⡀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠐⠀⠄⢀⠈⢆⠀⠄⠂⢁⠀⡁⠈⡀⢀⠁⢈⠠⠀⠎⠀⠂⡀⠁⠄⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⢻⣳⡯⣟⢎⢰⢸⡸⡸⡢⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢜⢜⢎⣓⢟⢞⢽⢸⢸⢸⢢⢳⠀⠀⠀⠀⠀⠀⠀⢐⠀⢈⠠⠐⠀⠠⠘⡄⠀⠂⡀⠄⠠⠀⠄⠀⠄⠠⠀⢌⠀⡈⢀⠠⠐⠀⡈⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢰⢰⢠⢳⢻⢹⡪⡇⡇⡇⡇⡏⠄⠀⠀⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠸⡸⡜⡜⡮⣳⡱⡕⡏⡞⡜⣜⠌⠀⠀⠀⠐⠀⠈⠀⢐⠀⠠⠀⠐⠈⡀⠄⠢⠈⢀⠀⠄⠐⠀⠐⠀⠂⠀⢂⠃⢀⠠⠀⠠⠀⢁⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⢪⡪⡪⡮⣣⢣⣫⡪⡪⡺⡸⡪⡂⠀⠀⠀⠀⠀⠠
⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠈⡮⡪⣪⢞⣾⣺⠹⡮⣪⡪⡪⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠐⠈⠀⠂⠀⠄⠨⡐⠀⠠⠀⠂⠁⢈⠀⡈⠀⡎⠀⠄⠀⠂⠐⠈⢀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢪⢪⡪⣎⡾⣽⣺⣽⣺⢼⠜⠜⠂⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠈⢩⢞⡯⣷⣻⣇⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠨⠀⡈⠀⡁⠈⡀⠐⠀⡣⠐⠀⠂⠈⡀⠄⠀⠄⡐⠅⠐⠀⢁⠀⡁⠈⡀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⢗⡷⠹⣽⣞⣗⢷⢭⡁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⣗⡽⣽⣳⣟⡾⣧⣂⢀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠨⢀⠠⠀⠄⠠⠀⠂⢁⠪⡂⠀⡁⠄⠠⠐⠀⢂⢪⠈⡀⢈⠀⠠⠀⠄⢀⢐⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⢷⡯⣯⢯⣳⡳⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠘⡮⢫⣷⣻⢾⡽⣆⠉⠁⠁⠀⠀⠀⠀⠀⢐⠀⠐⠈⡂⠀⠄⠂⠀⠂⠐⠠⠡⡣⡀⠄⠀⠂⠐⢀⠢⡣⡁⠀⠠⠀⠂⠀⠂⠀⡢⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡿⣯⢿⡽⡯⣞⢜⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⡈⢾⡽⡯⣟⣷⡄⠀⠀⠀⠀⠀⠀⢀⠂⠀⡁⠀⢅⠐⠀⡈⠀⡁⠐⢈⠢⢱⢠⠐⠈⡀⠈⠄⡕⡐⠄⠐⠀⠂⠈⢀⠁⠄⡆⠈⡀⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡠⠋⢨⣯⡯⣿⢽⠣⡁⡏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⢹⠻⢽⣞⢿⢦⣄⡄⠀⠀⠀⡂⠀⡁⠠⡐⡰⡀⡂⡂⣂⣂⡊⡦⡱⣕⣜⢮⠀⡀⢬⡪⡬⣌⡢⡐⠌⠄⠅⡠⠀⢄⢅⠠⠀⠂⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠀⢼⢾⡽⡯⠋⠐⠀⠌⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡕⠀⠀⠀⠀⠀⠀⠀⠀⢈⠰⡱⣄⢨⢲⢰⢲⢸⢸⢸⢒⠆⠇⠇⠋⠪⡈⠢⡁⣢⢕⢍⢙⠪⠪⡪⡣⡣⡣⡆⡇⡆⡦⡱⡡⠀⡁⡔⡆⠀⠀⠀⠀⠀⠀⠀⠀⠠⣰⢟⠯⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⡦⣶⡇⣑⢕⠁⠁⠁⠠⠀⢀⠀⢀⠠⠀⠀⠑⠌⢌⢞⢪⠣⡂⠂⠀⡀⠀⡀⠈⠈⠈⠈⠁⠁⡁⡅⡆⠇⣇⣬⡀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢼⣫⢾⢝⣾⣢⠀⠂⠁⠀⠄⢀⠠⠀⢀⠀⠁⠨⡈⡂⢷⡿⡮⡈⠀⠠⠀⢀⠠⠐⠈⠀⡀⠁⠄⠸⣸⣬⢦⣻⡜⡾⣄⠀⠁⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⢀⣢⣳⢽⢽⣺⡵⣿⢽⢽⠄⠀⠂⠀⠂⠀⡀⠄⠀⡀⠁⠐⡐⠌⢿⡽⡇⡂⠀⠄⠂⠀⢀⠠⠐⠀⢀⠠⠀⡷⣻⢮⢯⡷⡽⣝⣗⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣕⡷⣽⡺⣯⣻⣺⡽⣯⣟⡽⣧⠐⠀⠁⠀⠄⠀⠠⠀⢀⠐⠀⠀⢅⢙⢯⢂⢂⠀⠠⠀⠈⠀⢀⠠⠀⡀⠀⡐⣽⣻⢿⣽⢯⣟⣗⣗⡯⣻⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡤⣗⣯⢾⣳⣻⣺⡾⡯⣟⡷⡵⣯⢷⡅⠀⠈⢀⠀⠂⠀⠂⠀⡀⠄⠁⠀⢢⣱⡐⡐⡀⠠⠀⠁⠈⠀⢀⠀⡀⠄⢨⢿⢽⢯⣟⣿⢾⡽⡾⣝⣗⣗⣟⡦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣠⡳⣯⡳⣳⡫⣗⣯⡿⣽⢯⣟⢾⣫⣗⡿⣧⣠⣁⢀⠀⠐⠀⠂⢁⠠⡐⡐⠅⠙⢾⠏⢂⠢⠠⠠⡈⢄⠌⠄⠄⣢⢦⣞⣽⢽⣻⢾⡽⣟⣯⣿⢽⣞⣞⢮⢯⢯⢗⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⢎⡯⣯⢾⡿⣝⣯⡯⣟⣾⣫⢾⣺⣻⣿⣽⢿⠐⠅⠅⠕⠅⠅⢑⠀⡂⠨⢐⢘⠈⠄⠨⠈⡂⠌⠠⠁⠌⠠⢸⡿⡼⣞⣟⣞⣯⢿⡽⣯⣟⣟⣮⢗⣯⢗⡯⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢽⣾⣻⣽⡻⣮⣻⡺⡧⡯⣯⣯⣿⢾⣻⣻⠄⠡⠈⠄⠡⠈⠄⢂⠐⡈⡂⢴⠨⠀⠅⢂⠐⡈⠄⠡⢈⠐⣸⢿⣽⣳⣳⢷⣝⡯⡯⣗⡯⣿⢞⡯⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣳⣗⢿⣺⣺⢽⣺⢽⣳⢿⣾⢿⡯⡿⡅⠨⠀⠅⠨⠀⠅⠐⡀⢂⠂⢽⠃⠅⠨⠀⢂⠐⡈⢐⠀⠂⣺⣻⣞⡷⣝⢷⢝⣞⢯⢗⣯⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

new madoka magica madoka homura homura akemi

⣿⣿⣿⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⡟⣿⣏⠎⣵⣿⣻⣿⣿⣿⣿⣿⣿⣿⣗⢎⢶⣹⣿⣿⡿⡱⢆⠲⠁⣂⣴⣶⣿⣿⣿⣶⣤⡀⠢⢄⠙⢷⣦⡀⢀⢻⣶⣶⣦⣤⣈⠙⠻⣷⣄⠠⣉⠭⣛⠻⢃⠰⣀⢛⡿⠐⠄⠢⠐⠄⠂⠄⢂⠀⣄⡒⢦⢓⡲⢆⠣⠙⠀⠀⠀⠀⠀⠀⢀⠀⠠⠐⢂⣿⣿⣿⡟⠀⠀⠀⡄⠀⣰
⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣯⢑⡱⢞⣩⣭⣾⣾⣿⣿⣿⣿⣿⢿⣿⣿⠿⢿⡘⣮⣿⣿⢿⡱⡙⢊⣴⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡄⢊⡐⠸⣿⡿⢄⡀⣿⣿⣿⣿⣿⡿⠆⢈⠻⣷⡤⣳⣽⣿⣶⣷⣤⣯⡧⠉⠆⠱⠘⢦⠉⠸⠍⠙⠂⠉⠈⠀⡀⢀⠀⠐⠠⠀⠀⠀⢀⠠⡀⠌⡐⠈⠰⠿⠟⡋⠀⡐⠢⠿⣷⠖⠀
⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡟⣋⠴⣩⣾⣷⣾⡗⣾⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣶⣶⣷⣞⣱⢏⣯⠳⣇⣠⣾⣿⣿⣿⣿⠋⢀⣤⣹⣿⣿⡿⢁⡰⢈⡱⢋⡔⡂⢠⣿⣿⣿⡿⠋⣠⣴⣭⣤⢙⡻⣱⣿⠿⠿⢿⣿⠟⠁⡰⠈⠀⣈⣤⣶⣶⣦⡀⠄⠠⣄⠀⠐⠠⢈⠀⠀⠐⠀⠀⠈⠁⠰⠈⠄⠁⡀⠂⠈⠄⠡⠀⠤⠐⡃⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⠟⣣⣴⣿⣼⣿⣿⣿⠏⣰⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢻⡶⡁⠘⢋⢿⡟⣟⣿⣧⠀⠘⣛⣛⠋⣉⠰⡂⠑⠂⠔⢁⡽⢠⣿⣿⣿⣿⠁⠺⠿⠿⠏⠡⢎⣵⠋⠀⣠⡶⠀⣡⣦⠐⠁⢀⣾⠉⢻⣿⡿⣻⠗⠘⠆⠀⢰⡀⠀⠂⠌⠀⠀⠈⠄⠀⠀⠀⠐⠀⠀⠐⠀⠀⠀⢀⠀⠀⠁⠂⠠⠀
⣿⣿⣿⣿⣿⠟⣯⣭⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⢣⣴⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⢻⠰⣤⠈⠎⣇⢋⣿⣿⣷⡤⠉⠘⢂⠠⡥⢶⣚⣛⣭⣴⣾⣿⣿⣿⣿⡿⠃⢶⣶⣶⣾⣿⠇⠀⡰⠐⠋⢀⣼⣿⣿⣄⣠⡀⠙⣁⡼⠋⠈⡀⠀⣀⠂⠄⢸⡿⠄⠀⠈⠀⠀⠀⠌⡐⠀⠀⡀⠌⢀⠀⠀⠠⠀⠙⠂⠀⠀⠀⠁⠀
⣿⣿⣿⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣽⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢫⡗⣼⡇⢠⠃⣼⣿⣿⠋⠀⢡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣃⣙⡈⠉⠛⢟⣡⣶⠀⠳⠈⠀⣾⣿⣿⣿⣿⣿⣿⣿⡟⠀⣴⡿⠃⠰⢠⠁⢂⣀⡀⣀⠒⡄⠀⠂⢀⠂⠄⢀⠐⠠⠐⡀⠀⠀⠀⡁⢂⠀⠀⠁⠀⠀⠄
⣿⣯⢿⣿⣿⡿⠋⢉⠉⡙⠻⢟⣻⡿⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡝⢿⣿⣿⣿⣿⣿⣿⢸⢥⡻⠀⡰⢦⡙⠿⣿⠀⡈⣿⣿⣷⣦⢻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢩⣿⠿⢂⣀⠎⢻⡿⠁⡔⣂⠠⢙⠻⠿⠿⠿⠿⠿⠛⠀⠀⠈⢀⠄⡲⢁⡔⢊⣀⣀⠉⡁⠀⢢⠐⠠⠈⢄⠂⠌⢀⠁⡀⠀⢀⠀⠐⡀⠂⠀⠶⢀⠂⠄
⣏⡿⣟⡹⣧⢯⣿⣼⣦⣈⠰⣭⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⣿⣿⣿⣿⣿⣏⡟⡺⠁⢠⢃⡾⣙⠶⣘⢧⠰⠹⠿⠿⣋⡸⠋⡴⢟⡋⠛⣿⣿⡿⠟⠃⢈⡅⢠⡤⣄⠈⠀⢱⡘⠤⠥⠶⠀⠉⠑⠚⠓⣚⢩⠱⣠⠀⠁⡾⢨⠕⠋⢠⣾⠟⠾⠝⢦⡙⠨⢃⡀⢉⡄⠌⠐⠀⠀⠠⢀⠀⠀⠠⢀⠁⠀⢀⠂⠌⠠
⢎⣵⡾⣽⣳⣿⣶⣦⡟⡭⣆⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⣿⣿⠟⢦⡙⠆⣰⠃⣬⣿⣿⣿⡄⣆⢡⣌⣒⣛⣉⠁⢀⡴⢛⣠⠴⣋⡤⠤⣴⡆⢠⠈⢴⡔⠂⣀⣤⡴⣖⢾⡹⠉⠉⢉⠿⠀⢃⣈⣀⣑⣀⢃⠀⠈⠐⠊⠥⠘⡀⠄⣲⡁⠆⡉⢦⡀⠓⠤⠘⡒⠦⡄⡈⠀⢃⠠⠃⡐⢀⠀⠀⠠⢈⠀⠡
⣿⣿⣿⣿⣿⣿⣿⣿⣷⠑⣿⣽⣿⢻⣿⣿⣿⢻⡝⢫⣿⣽⣯⣿⣽⢻⢻⣽⡟⣯⢳⡞⣽⢻⢻⡝⢣⠚⣤⢩⡞⠁⣼⣦⣽⣿⣿⠁⡎⢸⣿⣿⣿⣿⢸⣿⠁⢩⣶⡟⢩⣴⣿⡝⣷⠈⢹⡆⣤⠉⣤⡌⣤⠀⠂⡄⠀⠀⣤⠒⡞⢣⡏⣾⢲⡝⣮⣿⣷⣶⣦⡄⠀⠈⠘⠓⠛⢲⡔⠂⢹⡄⠈⡅⢸⠑⢺⡔⢣⡌⠂⠐⡄⠂⠀⠀⠐⢠⠈⡄
⣿⣿⣿⣿⣿⣿⠟⠋⣡⠔⠉⠁⠀⠉⠀⡠⢔⡢⢽⠩⣒⢃⢊⠁⠉⠉⠉⠁⠓⢌⠋⢍⠡⠋⠄⠂⠌⣠⠐⠎⣠⣾⣿⣿⣿⠟⠃⠜⢀⣿⢿⣿⠻⣿⣦⠻⠴⣿⣿⢿⣿⣿⠿⠙⣃⣡⣤⢶⣞⣿⣭⣿⠽⠛⣦⡤⣴⡶⢀⠀⠈⠹⢽⣃⠉⣩⢍⣤⣤⣤⣤⠍⢀⠀⢞⣱⠖⠀⠈⠱⡀⢻⡄⠘⡹⢖⠀⡈⠅⠞⣌⠳⢈⡐⠀⡀⠂⡀⢂⠡
⣿⣿⣿⣿⡟⢫⡴⠊⠁⢀⠀⡠⡐⢄⢲⡑⡎⠱⢎⡱⡌⡌⠦⡑⢈⠐⠠⠁⡄⢂⣌⢂⠤⡁⢌⡰⠑⣠⣵⣾⣿⡿⠿⠛⠁⣨⡔⣠⣿⣿⠀⠃⢤⣍⣭⣥⣶⣿⣿⠟⢋⡀⢀⡽⣫⢷⢯⣷⡿⠛⠉⣠⠂⣸⠇⢠⡏⢿⣿⣷⣦⠐⡌⢻⣷⣦⣍⠻⢽⠟⠃⣠⠞⠀⠈⣿⣸⢆⣀⠆⣀⠈⡷⠀⠙⣞⢶⣈⠀⠊⢰⠃⠀⡔⢡⠐⡡⢀⠂⠀
⣿⣿⣿⠿⣰⢯⣁⠂⡤⠎⡄⡱⡁⢎⠵⡘⣼⢹⡬⣰⠡⠖⡤⠓⡌⠚⣡⠙⠬⢣⠜⣌⢢⠉⡄⢑⡉⣉⢉⠉⠀⣀⣤⣶⢟⣫⣾⣿⣿⣷⡐⣬⣈⣥⣾⣿⡿⢋⣤⣾⠋⡠⢊⠴⣽⣫⠟⠈⠀⣠⣾⢿⢰⠍⣠⣿⡇⢸⣿⣿⣿⢆⣣⠈⢆⠛⢿⣿⠢⠀⣬⢥⡔⠀⡇⠸⡇⠀⠹⠋⠇⢠⠏⡀⠀⠈⢢⠉⡆⢠⠃⠃⡰⣉⢆⠱⢀⠷⠈⠄
⣿⣿⣿⣿⣿⡷⡇⡼⢱⢞⣡⡱⡵⠎⠛⠉⠀⠁⠘⠀⠁⢠⣀⣑⡀⠀⢤⣶⣿⣷⣶⣤⣌⡱⣬⣤⣬⣐⠚⠶⠿⠟⠛⠚⢉⣉⣀⠀⠈⠙⠛⡠⠛⣩⣿⠉⣴⣿⠛⡠⠞⠀⢁⣞⠇⡠⢐⡞⣴⢫⡟⣿⡌⡆⣽⣿⡇⢸⠿⢻⣿⢸⣿⡀⠘⢈⠈⢿⣷⠀⣆⠻⠀⠀⡗⡀⢡⠱⡄⠋⠠⢊⠠⡇⢠⠀⠀⠇⡃⠠⠂⠈⠑⢀⠞⣐⢂⠠⠁⡀
⣿⣿⣷⢋⠖⣧⠓⣭⢓⡞⠲⠉⠀⠀⣠⠔⠂⣠⣴⡔⡠⠘⢿⣿⡗⡠⠀⢿⣿⣿⣿⣿⣿⣿⠼⣿⣿⣿⠇⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠛⠀⢿⠇⡌⠁⡄⣠⣾⢃⠈⣰⠏⣸⠇⣾⡁⣿⣷⠰⡸⡿⠁⣾⠋⣿⣿⠘⣿⡄⠂⢿⡀⠸⣿⡇⢸⠀⢀⠀⠇⢹⠀⣦⠉⣑⣂⡥⠀⠁⢠⠖⠻⠀⠁⢡⡀⠂⠉⠪⡜⣁⠊⡔⠠⠀
⡙⣿⣿⣎⠜⡤⢛⡤⠏⢀⠖⠀⡰⠋⣡⣾⣿⣿⣶⣌⠠⡁⠄⢿⡇⡑⢢⠸⣟⡻⠿⠿⢛⣡⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡠⠀⠀⠀⠀⠀⠀⠁⠸⠄⢷⡯⢂⣰⠏⡀⡟⡀⣿⡇⣿⡟⢀⡑⢠⣾⠏⢠⠸⣿⡄⢹⣷⡐⣸⠅⣧⡙⠁⠀⣤⢿⣷⡄⢘⠇⡚⠀⠘⡟⣁⠀⠴⠛⠚⠀⠴⣷⢦⣤⠉⠀⠀⢱⠎⡔⠠⠃⡀
⠲⡅⢎⣌⠣⡑⡮⠁⡔⠉⠀⢊⣴⢸⣿⠡⢶⣎⢻⣿⠀⡁⠀⡌⠃⠀⠐⠄⢹⡟⢿⡻⣟⠋⠁⠀⡀⠀⠀⠀⡐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠉⠃⣸⢯⣴⠇⣷⠀⢿⡇⢿⠁⠘⠁⡀⢉⡘⠀⢷⡘⢷⡀⢻⠇⠟⠐⣿⣇⠀⢼⣯⡟⠿⠛⠗⠀⠁⠀⢀⣴⣣⠴⣲⠏⡈⠤⠴⣄⠛⣼⣛⢦⠀⣨⠙⡄⢡⠒⡀
⠱⡘⠎⡤⢁⡼⠁⠀⡠⠀⣰⣿⣿⡘⢿⣿⣿⡟⣸⣿⠀⠀⠀⢠⠀⠀⠘⢀⣿⣿⣷⡿⠉⠀⢀⠂⠀⠀⠀⠔⠁⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⣦⠸⣧⠈⣿⠘⠀⠚⠀⣠⣾⠿⠷⢄⠣⠠⣍⠀⠜⠠⣧⠸⣿⣶⣬⣍⡳⢤⠀⣠⡐⢆⠙⣿⣲⣭⡃⢽⣫⢗⢶⣠⠈⢖⡀⠙⢎⣇⠀⢋⠔⡡⢂⠐
⡱⢡⡘⠀⢦⡓⠀⢰⠃⣰⣿⣿⣯⣳⣦⣭⣥⣶⣿⡏⠀⠀⠀⠠⠀⠀⠀⣼⣿⣿⡟⠁⠀⠀⠠⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣡⣈⠳⢬⣁⡐⠀⢴⣩⡶⢤⣶⣤⣤⡄⠈⠘⣴⡆⠻⡇⢺⡟⢻⣿⡿⣦⣈⠳⡕⠨⠂⢧⣹⣾⣷⣄⠛⠪⠗⠮⠃⢸⠸⡀⢂⢸⠣⢌⢢⡑⢢⠑
⣑⡎⠀⠾⣸⢧⣡⣿⢀⣿⣿⣿⠿⠓⠛⠛⢋⢉⠉⡀⠀⠄⠀⠀⠀⠀⢰⣿⣿⠟⠀⠀⠀⠀⠡⢀⠀⠁⠀⠀⠀⠀⠀⠄⠠⡀⠀⠀⡀⠀⠀⠀⡄⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠰⠄⠀⠠⡙⢫⢳⠈⠳⡲⢓⡒⠲⠿⣿⣷⣄⡈⠓⢢⢹⠈⡟⠘⢿⣇⢈⠿⣦⠁⠀⢠⡿⡖⠻⠄⡃⠙⠿⠖⢒⣡⡞⠀⡇⠠⢃⣏⢬⣳⡱⣂⠌
⠸⠇⡡⢀⠹⡖⠹⣿⠸⠟⠉⠀⠀⠈⠀⠉⠀⡈⠂⠑⠂⡀⠄⠁⢀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠁⠀⡀⠠⠀⠀⠀⠀⢈⢢⠑⡐⠀⢸⠡⢀⡄⠀⡷⢈⡄⠀⠈⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠛⠃⣀⠉⢠⠏⡀⣄⠀⠉⠉⠀⠀⣤⠍⢻⣿⡆⠹⠀⡦⠀⠇⣾⣿⠄⣆⠙⣧⠸⣳⡜⣖⣲⢆⡹⢶⣶⡾⠿⠛⠁⢠⠁⠃⡙⡘⢆⠣⣙⠳⢎
⣄⠀⢡⠀⠠⠀⠁⠀⠀⢀⡀⡄⡄⠆⠤⠠⡁⠄⡁⠂⠀⠀⢠⣴⣿⣿⠟⢀⡎⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⡠⢡⡀⡆⠘⡀⣰⢀⢃⠎⡅⢢⡸⢠⡗⡄⠀⢸⡀⢰⡂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣭⣁⣥⢢⡀⠻⣷⣤⣴⣤⣤⣤⣴⣿⣿⠁⢤⣾⠃⣈⣼⠇⡀⠀⢾⠀⢸⠀⠙⣦⡉⠛⠾⣵⣲⠤⠐⡶⡾⡴⠃⢤⢒⡱⣌⢂⠰⣌⠳⡌
⠟⠚⠤⠂⠁⡀⢌⠐⠊⠁⢀⠀⠠⠀⠀⠀⠀⠀⢀⡀⠸⠀⣾⣿⣿⠏⢠⡞⠀⠀⠀⠀⢀⠠⠀⠅⠀⠀⠀⠀⡑⡜⠀⡇⠜⠰⠋⢀⡜⡀⣈⡘⠁⢸⠃⢠⡆⠀⠇⠀⢇⠀⠀⠀⡀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠋⠘⢘⣡⣾⠟⠡⠈⢀⢀⡿⠀⠀⡄⢦⠈⢳⢀⢀⠉⢷⠃⠐⠸⣽⠁⡜⢂⣯⡟⢴⢣⡘⠴⡣⠜
⠀⠀⢄⠀⢂⠐⠀⠀⢀⠐⠀⠈⠀⠀⠀⠀⣴⡇⣾⡇⢠⣾⣿⣿⡏⢰⡿⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⢂⠰⢠⠡⠖⣉⣞⣱⠿⡃⠠⢋⢠⡿⢡⣦⡀⢸⡌⠀⠀⠀⠀⠀⠀⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⢃⣠⢈⣤⡿⠷⠲⠶⠶⠞⡁⠠⠠⣾⡿⠃⢈⢳⡀⣼⢀⠂⡌⣦⠀⢰⡃⢰⠃⣸⢷⣃⠘⡧⡜⡐⢧⡛
⠀⢀⠂⡥⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣷⣦⣶⣿⣿⣿⣿⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢃⠀⠘⢛⣈⣠⣄⢠⠀⠉⠗⣡⣴⣿⡿⢁⣫⠝⠻⢾⣧⠸⠁⠀⠀⠀⠀⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠡⠛⢡⣶⠏⡀⠸⢠⠀⡇⢠⡀⠹⠁⢀⠂⢾⣿⠏⢈⣼⠆⡟⢀⣾⠀⡞⢀⣿⠇⣸⠀⢳⡽⣌⢣⣛
⠀⠠⡘⠀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠿⠿⢿⣿⣿⡇⣾⠏⠀⠀⠠⠀⠀⠀⠀⠀⣰⠂⠀⠀⡀⢿⡌⢧⡰⠬⠉⠻⠿⠦⠁⣰⣷⣿⣿⣿⡇⢫⣶⡆⠀⠀⠁⠀⢰⡄⢠⠀⠀⠀⢤⣶⣿⡿⠿⢿⣿⣿⣿⡿⠿⠿⠟⣻⣿⡠⢡⠟⢃⡜⡰⠃⡇⠀⢡⠳⡘⠆⠰⢩⡄⢦⣴⣶⣿⣫⠜⣰⠟⣷⠀⡝⡀⣿⡇⢸⡀⢣⢞⡹⣶⣡
⠀⢡⠃⠀⠄⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠚⠓⠀⠿⠟⠃⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠃⢀⠀⡰⠀⠸⣿⡌⠻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣝⡳⠬⢴⡓⠀⠀⣧⠀⠀⠀⠐⡈⠻⢿⣿⣶⣄⠶⠶⠶⢞⣫⣵⣾⡿⠋⠵⠅⣰⡟⠀⠃⠀⠀⣠⠇⡰⡟⢀⠰⣿⠏⠰⠈⡉⢭⣔⠻⡟⣸⣯⠀⢧⢣⢸⣿⠈⡧⣄⡋⢶⡉⢷
⡀⢠⠂⠡⠀⠀⡀⠀⠀⠀⠀⠡⠀⢃⠀⡀⠀⠀⠀⠀⢀⠠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠔⠁⠀⡇⢻⣇⠘⣂⠐⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⡇⠘⠀⢸⠀⣸⡄⠀⠘⡤⣀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡆⠀⢰⡟⣀⡈⠀⡴⣾⠏⢠⣟⠀⣿⠀⢻⠀⢺⡉⢉⠀⣿⢂⠀⣿⣿⠀⢸⣧⣆⢻⣧⡘⠜⣿⣶⣙⠮
⣷⡄⡃⠤⠁⠂⠀⠁⠀⠀⠀⠀⠀⠄⠠⠀⡅⠀⠂⠁⢂⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⠀⡼⠀⠁⡀⠋⢳⡙⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠈⠄⠁⡀⠸⠀⣿⡇⢠⠀⠧⢀⠁⠀⠙⢿⣿⣿⣿⣿⠿⠟⠋⣀⢀⢸⠠⠆⠀⣰⠍⣿⡅⢰⠏⠀⣟⢦⡀⠃⠶⠄⠂⢀⡟⡎⠀⢼⡇⣧⠄⠻⡽⣆⠻⣷⡀⠘⣿⣿⣿
⣿⣷⡡⢀⡐⠠⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠁⢂⠠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠀⠀⠀⠀⡅⠠⠀⢣⠰⢈⡓⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⠀⠠⠁⠀⢀⣿⣧⡞⠀⠀⣸⠆⢦⠐⡌⠙⡛⢛⠉⢀⣤⢶⣛⣞⢸⢀⡄⣰⠙⠀⢹⠃⢸⡄⢀⠹⣘⠷⣶⣤⣤⣶⣞⡱⢡⠀⢺⡁⣿⣦⠠⣥⣙⠒⠛⢃⣤⣻⣿⢿
⠙⠿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠂⠀⠄⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠀⠀⡃⠐⠀⠸⡎⣯⣿⣷⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⢀⡇⣿⡿⢁⣴⡏⠐⠀⡀⠂⣽⢆⢩⣟⡤⠈⠚⠳⠛⠾⠘⠈⠋⠀⠀⠀⣈⠇⢸⡄⢸⣧⠙⠻⣽⢿⣿⡛⢋⣥⢯⡇⠸⡄⢷⣻⣧⡠⣐⠲⢾⣿⣿⣿⡿⣮
⣀⡀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⡀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⡅⠀⠀⠀⠓⢹⣿⣿⠻⢹⣿⣿⣛⣉⣓⣺⡋⣿⣿⣿⡿⢂⠀⠆⠀⠈⡀⠙⢌⠳⣿⠟⢉⣤⣴⣶⣶⣶⣦⣤⣤⣤⣤⡀⠀⠀⠀⢀⡀⠀⣤⣤⣿⣿⣶⠈⢻⡄⢯⡻⠆⣠⢉⡄⢴⣻⢞⣯⡽⢦⣙⠀⠙⠿⣷⣮⣿⣶⣶⣾⣧⣛⣿
⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠂⢠⠚⠁⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠂⠀⠀⠀⣄⡀⠀⠈⣁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣾⡆⢁⠂⠀⢻⣦⡤⢀⣴⣾⣧⣝⡻⢿⣿⣿⣿⣿⣿⣿⣿⠑⣠⡆⢨⡿⣷⣦⣭⣿⣿⣿⣿⡔⣦⡙⠲⣔⣪⣴⡦⣉⠢⣉⣚⣁⣤⣾⣿⣿⡶⠶⠲⠤⠈⠬⣭⢷⣾⣙⢮
⣀⠤⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣳⠀⠐⡌⠛⠛⠿⣿⣿⣿⣿⣿⣿⡿⡁⠈⠁⠐⠃⠈⡄⠀⠸⠟⣰⣿⣿⣿⣿⣿⣿⣷⣶⣬⣝⠻⠿⣳⣍⠋⠂⠀⠀⠛⠻⣿⣿⣿⣿⣿⣿⣧⠹⣿⠇⠹⣧⠉⢻⣿⠄⡌⢻⣿⡟⢋⡭⣴⠒⠒⠿⢶⣳⣞⣳⣟⡮⢇⡿
⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⢀⡟⠀⠀⠀⠀⠉⠛⠿⠛⢋⣴⣷⠀⠀⠀⠀⠠⠀⠀⠙⢠⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣶⣁⠈⠀⠀⠀⠀⠀⠀⠙⣿⠿⠿⢟⣛⣛⣧⠜⠀⢰⡟⠀⣼⡿⠀⡗⣰⣶⣶⢘⡗⣦⣦⡍⠁⠂⠘⣿⢆⡿⣝⢎⡷
⠀⠀⠀⠀⠀⠀⠀⢠⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠖⠂⠀⠀⠀⠀⡀⠀⢸⣿⣿⣿⣿⣿⠃⢻⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⢀⣨⣤⣶⣿⠛⠿⠛⣁⣤⠞⢀⠀⣼⡟⢠⠞⣡⣿⣿⠏⠘⠀⣾⡽⠃⠀⠀⠀⠘⣯⢷⡝⣮⠝
⠀⠀⠀⠀⠀⠄⠃⠄⢀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⣀⣤⣤⡖⠋⢀⡀⠀⠀⠀⠠⠀⠀⠐⠀⠀⠀⠀⣶⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⢸⣿⣿⣿⣿⡏⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡄⠀⢠⣮⣶⣿⣿⣿⣿⣿⣿⣿⣿⠟⢡⡞⢁⡾⠟⠃⢾⡀⠿⠟⠋⢠⡜⡀⢿⠉⠀⠀⠀⠀⣘⣷⣿⠻⣌⡇
⠀⠀⠀⠠⠉⠄⠁⠈⠀⠀⠀⠀⡀⡄⠒⠀⠀⠀⠀⠀⠀⢠⠏⠤⣞⣿⣿⡿⣿⣮⢻⣿⣀⠀⠀⠈⠳⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⡗⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠶⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⢋⡀⢃⣴⡾⠱⣦⣍⡀⠶⠾⠻⠑⢡⠎⠀⣴⠀⢰⣾⠟⣯⢿⣝⡞⣴
⠀⠀⢀⠡⠈⠀⠀⠀⠀⠀⡄⢣⠑⠈⠁⠀⠀⣀⣀⡀⠠⠀⠺⢶⣦⣭⡙⠿⣜⣿⣷⣈⣾⠆⠀⠀⠀⢤⡀⠀⠀⠀⠀⠀⠀⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣟⠀⠀⠀⠀⠻⣿⣿⣿⡿⠛⠁⠀⠀⠙⠻⣿⣿⣿⣿⣿⠟⠁⠀⠨⠀⠣⠘⠛⠀⣸⣿⠟⠡⠿⠟⢋⣴⠃⢼⠀⣿⡀⠈⢡⣜⣯⠿⣬⢟⣿
⠀⠀⠀⠀⠀⠀⠀⡀⢆⠱⠈⠀⢀⣠⣴⡄⠀⣿⣿⢃⣾⣿⣷⣶⣮⣭⣝⡓⠢⢈⢹⣿⡿⠀⠀⠘⢲⣄⠛⠀⠀⠀⠀⠀⠀⠀⠠⣄⢣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠹⣿⠟⠁⠀⠀⠀⠀⠀⠀⠈⠛⢿⡿⠋⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣷⣦⣴⣶⣦⣬⠙⢢⣤⣿⣷⣦⣁⠘⢻⢿⣞⣻⣉
⠀⠀⠀⠀⠀⢀⠆⡱⠈⠀⠀⠰⢿⣿⣿⡇⠠⣈⠛⠸⣸⣿⣿⣿⣿⣿⣭⣛⠻⢿⣿⡿⢁⠃⠀⢸⡿⠛⠀⠀⠀⠀⡐⠂⢨⠀⠀⣿⣾⡏⠻⣿⣶⣶⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠟⠉⣠⣴⣶⠀⠈⠛⠛⠿⠿⠷⣾⢾⣭⠏
⠀⠀⠀⠀⢀⠎⡐⠁⢀⣴⣷⡄⠀⠙⣿⣟⠀⢻⠁⠀⢻⣿⣿⣿⣿⡿⠿⠿⠛⢒⡦⠁⠂⠀⣠⡏⠀⠀⠀⠀⠠⠐⠀⢀⣿⡆⠀⢸⣿⣿⣷⡈⢿⡹⣎⣿⢹⠣⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢿⣿⣿⣿⡇⢠⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡌⠒⢀⢀⣾⣿⣿⣿⡄⠀⢸⡇⠀⠀⠀⠀⠀⠈⠉⠉⣀⣂⣤⣴⠶⠋⢁⣀⣄⣀⡀⠀⡀⠀⠀⠀⠴⣋⣠⣤⣿⣇⡀⠀⢿⣿⣿⣿⣦⠛⢶⠻⣦⣉⡐⠁⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠟⠻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡬⢁⠂⣼⣿⣿⢿⣿⡇⢀⠀⠀⠀⠀⠈⠄⢰⣿⣿⣿⣿⡿⠛⠁⢀⣘⣯⣭⡍⠛⣷⡰⡜⣦⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⢪⠻⢿⣿⣿⣷⣦⣉⡘⠛⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴
⠀⠀⠀⠐⡰⢂⠈⣿⠋⠤⢠⡈⠁⠂⠀⠀⣰⠁⢀⠂⢸⣿⣿⠟⣩⣴⠆⣨⣭⣭⣟⡻⣿⢰⡙⠇⢻⣌⢀⣿⣿⢿⣿⣿⣿⣿⣿⣿⣼⣷⣄⠙⢿⣿⣿⣿⣿⣿⣶⣍⡻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⢀⣴⡿⠟
⠀⠀⠀⠀⠀⠉⠆⢿⣷⣤⡼⠃⠀⠀⠀⠀⢀⣾⠀⠀⡘⠟⣡⣞⣿⣦⢺⡍⣭⣝⢻⣿⣮⣁⣿⣿⣿⣿⢸⡿⢡⣿⣿⠟⢨⡟⣿⣿⣿⣿⣿⣷⣄⠙⢿⣿⣿⣿⣿⣿⢏⣐⠺⡇⠀⠀⠀⢀⠀⠀⠀⠀⠈⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣇⣰⣧⡀⢠⣆⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⠋⠁⠀⠉⢀⣤⠞
⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⣰⣿⣿⣄⡥⠀⣼⣿⣿⡿⠋⢀⣼⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⡎⣰⣿⣿⣿⣇⢸⣷⣿⣿⣿⣿⡿⠿⠛⠃⠈⣏⡷⢦⣍⢡⣞⠻⠅⠃⠀⠀⠀⠨⢷⣄⡀⠀⢤⣌⣙⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀
⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⢠⣿⣿⣿⡿⣗⡂⠹⣿⠏⢀⣼⢸⣿⣿⡽⡇⡜⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣯⠼⠛⢛⠋⡁⠄⠀⡀⠀⠁⠀⠀⠀⠀⠁⠈⢀⣠⡄⠀⠀⢀⠀⠀⡀⠠⠁⠀⠀⠉⠉⢙⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢣⠀⠀⠀⠀⠀⠀⠠⢀⣼⣿⡟⣸⣿⣿⣿⣿⣼⡇⠘⢃⢀⣼⠇⣼⣿⣿⣧⡇⢠⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠃⠀⣘⣄⣠⠘⣀⠄⠣⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠠⠇⠘⡄⠀⠻⣿⣤⣄⣀⠀⠀⠀⠄⠀⠘⠃⠀⠀⠀⠘⠃⠀⠀⢀⡀⣄⣤⣠⣤⣤⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠐⠀⢀⢋⠀⠀⠀⢘⠀⠘⣿⣿⣿⠃⣠⣿⣿⣿⣿⣿⣗⠈⠆⢾⣧⡆⣿⣿⣿⣿⡇⡘⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⣠⣴⣿⣿⡯⠿⠛⠈⠀⠀⢀⠠⠀⠀⠀⣐⠢⠄⠀⠀⠀⠀⠀⠀⠑⠈⣄⠙⢿⣿⣿⡿⠗⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠖⠻⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀
⠀⠀⠀⠈⠀⠀⠀⡨⠄⠀⢻⣿⢋⣴⡿⢛⣥⣾⣿⣿⣿⣟⡲⠎⠋⢸⣿⣿⣿⣿⣷⣷⡙⣿⣿⡿⢋⠄⢂⡁⢟⣶⣶⠁⠛⠉⠀⠀⢠⠄⣂⡜⡢⢍⠎⠀⠀⠈⠛⠂⢀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠈⠉⠁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣤⣾⡕⠀⠀⠸⢁⠾⠉⠐⣉⣠⣤⣾⣿⣟⢯⡝⠣⠀⣿⣿⣿⣿⣿⣿⣿⡿⠈⠉⠀⣣⣾⣿⣿⡦⠈⠀⠀⣠⠒⣆⠑⣠⣾⣿⣞⡱⢈⡴⠀⠀⠂⣠⣴⠟⣁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠱⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⢢
⠀⠀⠀⠀⠀⠻⡿⠌⠀⢠⠃⡈⢀⡴⢿⣿⣿⣿⣿⣿⣿⡦⢡⠂⢸⣿⣿⣿⣿⣿⠟⠁⠀⠀⢀⠈⠻⠿⠋⠁⢀⣠⣤⣄⢿⣿⣠⣾⢿⡿⣟⠃⠀⣼⡏⠀⠄⢲⣿⠡⠜⠊⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠄⢻⣮⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡅⠀⠎⣰⡿⢛⡹⢛⣩⣿⡏⢠⢇⢀⣿⣿⣿⣿⣿⡟⠀⠀⠀⠐⠀⠀⠀⠀⠀⣶⣿⣿⣿⠟⣓⡀⢌⠙⡫⣝⡡⢠⣖⡿⠛⠠⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣤⠀⢠⡄⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠖⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠃⡌⠐⡣⠌⣡⣴⣿⡟⢉⡄⢺⡎⢸⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⡠⣄⣂⡙⣈⠻⣿⣿⢸⡟⣿⣦⡑⢤⠐⠡⠛⠋⠀⠀⠀⢀⠀⠀⠠⢀⠀⠀⠀⠀⠀⢀⣈⠙⡙⠛⠶⠦⣄⠄⠀⠀⠀⠈⠙⠷⣌⠻⣿⣿⣿⣿⠿⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⣾⣿⣿⣿⠞⣻⣷⡿⢠⡌⣿⣿⠋⠀⠀⠀⠀⠀⣀⠠⣽⣿⣿⣷⢘⡸⢧⡘⢿⡘⣿⡽⠟⠓⠀⠀⠀⠀⠀⠄⠠⠒⠉⢀⣀⡔⠊⠀⠀⠀⠴⠾⠷⣿⣿⣷⣌⠉⠓⢼⠂⠀⠀⠀⠀⠀⠀⠈⠓⠙⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠋⠐⠛⠃⠉⠁⠉⠀⠀⢀⡀⠀⠀⠡⢘⣥⠐⠯⢿⣿⡧⣼⣯⡗⠄⠁⠀⠀⠀⠀⠀⣀⣀⡀⠘⠈⠀⣠⣔⡎⠋⠀⠀⠀⡰⣿⣿⣶⣦⣌⠙⠻⣿⠀⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠐⠶⠄⠀⠤⠰⠀⠀⠀⠀⢠⡟⠀⠄⡁⢂⠀⠈⠷⣎⡵⣯⠳⠙⠀⠁⠀⠀⣀⠀⣠⣴⣾⣿⠷⠁⢀⣤⣢⠹⠟⠁⠀⠀⢀⣾⢷⣹⢋⠻⠿⣿⣷⡄⢈⣇⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡀⠄⡀⡀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠂⠌⡐⢐⠐⠠⡁⡂⢂⠂⠌⠌⢂⠂⠄⠀⠀⠠⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⢐⠠⡂⡂⢆⠂⠐⡐⠠⠀⡂⢐⠈⠌⢐⠀⡂⠌⢐⠠⠐⡐⡈⠄⡁⠂⢌⠨⢐⠨⠨⠠⢈⠄⡣⡅⡅⡅⢅⢁⢂⠢⠠⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡐⢌⠪⢌⢆⠣⡡⢢⢊⢆⠅⠐⠠⡁⢂⢐⠐⡈⢄⠕⡀⠢⢁⠂⠄⠡⡂⡂⠅⡂⠅⡂⠌⡐⡨⢈⠎⢔⢈⢎⢎⢌⢪⢢⢣⢪⠪⡊⠆⠎⠲⡐⠌⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠄⠕⢌⠢⡃⢇⢪⢪⠪⡊⡢⡂⡢⡘⢌⠐⠄⡂⡂⡐⣑⢀⠂⢕⢁⢂⠡⢈⠢⡢⢁⠢⠡⡂⢅⢂⠪⠠⢑⠱⡸⡕⡇⡇⡇⡇⡇⣇⢏⠎⡆⡌⢌⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠐⡀⢔⢐⡑⡌⡎⢎⠢⡑⡌⡆⡕⡜⡄⡂⠅⠅⡂⡂⢌⡆⠂⢌⢪⡂⠢⢐⠐⢅⢝⢔⠨⡊⣆⠢⡂⡣⡑⡨⢪⠈⢪⢪⢪⢪⠸⡘⡌⢖⢕⢕⢸⢐⢄⠄⠕⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠐⠘⠐⠑⢈⠈⠌⢆⠇⢇⢣⢱⠸⠘⠐⢌⠪⠐⡅⠢⡱⡅⢅⢣⠱⡊⠜⡄⢊⠢⡃⢇⢊⠢⡣⡃⡪⢢⢂⠪⡂⠇⢄⠑⠕⢕⢕⢕⠱⠡⡃⡨⢐⢑⠌⠊⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠂⠠⡈⡢⠑⡑⠨⠐⡀⠂⠡⡂⡣⡑⡸⢨⢸⠨⣂⢣⣑⠄⠡⡃⡪⡘⡌⣢⢥⡣⣑⢱⢘⢌⠢⢑⠀⠁⡀⢄⠢⡑⢌⢘⠜⡐⢌⠢⠑⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠐⢀⠀⡀⠀⠂⡀⠂⡁⠄⡁⠅⠊⢜⢔⠨⡢⡱⣕⢎⢟⢂⠩⠀⠌⠐⠌⡊⡺⠝⢆⠝⡆⡇⡅⡅⠱⡐⡑⢌⠢⡑⠄⢕⠠⠑⢈⠠⠠⠢⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⠀⡈⠠⠀⠂⡀⠂⡐⢈⠨⠐⠕⢅⠪⢺⡐⠰⡐⢌⢊⠐⡈⠄⢅⢂⠪⢪⠨⡃⢜⠌⡆⡪⡨⢂⢊⠢⡑⡐⢅⠑⠌⢌⢂⠅⠕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⡀⠂⠁⡀⠂⢐⠀⢂⠡⢈⢂⠅⡣⡊⡂⠌⡀⢂⠐⠀⠌⢂⠂⠅⠅⠅⠢⡑⡕⢕⠌⡆⢕⢐⠅⡂⡪⠠⠑⡁⡁⡠⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠄⢀⠂⢁⠠⠈⠠⠈⠄⢂⢁⢂⠪⡐⢕⢄⡂⠄⢂⠠⠁⠌⡐⢈⠄⢅⢡⢱⢸⢸⢐⢅⠪⠢⡑⢌⠢⡊⢌⠢⡂⠆⠊⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠄⠠⢀⠅⠌⢄⢑⠄⢕⠨⠢⡡⢃⠪⢩⢂⠢⠡⡢⡂⠆⢍⠢⠑⡁⡃⠣⢱⠨⡪⢕⡪⡢⡣⡪⡢⡢⡢⡠⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⢐⢐⠨⡨⡐⠌⢌⢂⠢⡁⡢⢊⢂⠪⡐⢌⠢⠂⠕⡁⡃⢃⠣⢂⠅⠂⡅⢊⠪⠢⡑⢜⢸⠸⡸⡱⡙⡜⢜⠸⡘⡔⡕⢕⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢔⢐⢌⠢⡢⡑⡱⡐⡌⡪⠰⠂⢑⠐⡠⢁⠂⢅⠢⠢⡁⠁⠅⡂⢂⠂⠌⠄⡃⠅⢎⠀⠄⢁⠈⡈⢐⢑⠕⢌⢆⢕⢅⢣⢊⠢⡊⡊⢎⢎⢢⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⡢⡨⡢⢱⢸⢸⢨⠪⠢⠃⠃⠂⠁⠌⡀⢂⠂⠁⠪⠨⠈⠀⠂⡁⠐⠐⡐⠠⢑⠨⠢⢕⡌⡌⡔⠀⠄⠐⠀⠠⠐⡈⠢⠀⠀⠀⠈⠘⠔⢅⠅⢇⢣⢑⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠔⡌⠎⡪⡨⡂⠃⠅⠁⠀⠀⠀⠐⢀⢐⠀⠀⠀⠀⠀⠀⠀⢀⠁⡀⠀⠡⠠⢑⠠⠡⡁⠀⠑⠱⢱⢱⠀⠁⠈⠀⠅⠀⠂⠁⠀⠀⠀⠀⠀⠁⢕⠡⠀⠑⠅⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢅⠃⠁⢐⢕⡊⠀⠀⠀⠀⠀⠀⠀⠈⠀⡆⠀⠀⠀⠠⢐⠐⡐⢐⠀⡀⠈⠠⢁⠂⠌⡐⠌⡂⡢⠠⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⡊⠨⠀⠂⠐⠠⠐⡀⠌⢐⠠⠨⠐⡀⠡⠐⠠⠡⠡⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡀⠡⠐⠀⠅⡈⠄⠡⠐⡀⠌⠠⠐⠠⠁⠄⠡⠈⠠⠁⠡⠁⠌⡐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠄⠐⡈⢀⠂⡀⠂⠄⣁⢐⢈⠐⡀⠡⢈⢐⠀⡂⡁⢂⠡⠨⢐⠠⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢐⠈⠠⠁⠌⠠⠐⡀⡐⠠⡱⡕⡕⡑⡑⣿⣻⠨⢊⠢⡣⡄⠂⠐⢈⠐⢐⠈⠄⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡈⠔⡘⠠⠁⠌⠨⢈⠐⢠⡱⣿⡇⡇⡪⡘⣾⡟⢌⠢⡱⣹⣷⡅⡁⡂⡢⠢⡪⡐⡡⡨⢂⠅⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⠄⠡⢈⢐⢠⡼⣾⣧⡑⡹⡐⠔⢅⢿⡍⠢⡑⣜⠽⣱⢿⣔⡠⠨⢈⠢⠈⡢⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢂⠡⢈⣐⣔⣮⣿⣻⣟⣾⢿⣦⣌⢊⠢⠹⢐⠑⡜⣴⡽⣟⡿⣯⣷⢧⣂⠅⢅⢈⠪⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⢂⣼⡾⣞⣯⣿⣽⢯⣿⣽⣽⣫⣿⣶⣬⣾⣦⣮⣾⣟⡿⣯⢿⣽⢾⣟⣯⣟⣶⣄⠌⡂⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣤⣦⣷⢯⣟⣯⡷⣷⣟⣿⢷⣻⣞⣯⡷⣿⢾⣻⡾⣗⡷⣯⢿⡽⣟⣾⣟⣾⣳⣳⣻⣺⣥⢂⢂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠯⣿⢾⣻⣽⢷⣟⣯⢿⣽⢯⣷⣻⣞⢿⣽⣟⣯⡿⣯⢟⣵⢿⢽⣯⣷⢿⣞⣾⣞⣞⡷⣽⣻⡿⡾⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠟⢿⢿⣻⣽⣟⣾⢾⣽⣻⣾⣽⡷⡿⣽⢽⣽⡽⣟⣾⢾⡿⣟⡿⡾⠳⠛⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠈⠉⠉⠃⠋⠙⠊⠋⠛⠙⠋⠓⠛⠙⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

new madoka magica madoka homura homura akemi

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⡽⣻⢿⢿⣿⣿⣿⣿⡿⡻⣝⢯⡻⣝⢟⡽⣻⣻⣻⣫⣟⣟⢟⣟⣟⣟⣟⢟⣟⣟⣟⣟⣟⡯⣟⡿⣻⣻⣟⢿⣻⣻⣛⡿⣿⢿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢯⠃⠌⠊⠀⠂⠁⠂⡑⠙⠎⠎⠇⠇⠇⢇⠳⠙⡪⣺⡪⣞⣞⢞⣮⣻⣺⡺⣺⡺⣽⣺⣺⣺⡺⡮⡯⣗⢿⡝⡾⣺⣝⢾⣺⠽⡽⣺⣻⣗⣷⢿⣾⣟⣿
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠩⡙⠵⡻⠀⢀⠀⠀⠀⠀⠀⠄⠠⠁⡂⠀⡂⢂⢂⠢⡢⡣⡫⡺⣪⡳⣕⢯⢞⡮⣺⡺⡵⣻⡺⣪⢞⡮⡾⡽⣝⣞⢗⢵⡫⢎⢎⢧⢫⢮⣞⣿⣺⡾⣟⡿⡳⡫⡳
⣿⢽⣻⣿⡿⡿⡿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢟⠟⠏⠟⠝⠝⠝⠝⠅⠅⡂⠅⡈⠀⠀⠀⠀⠈⠀⠀⠀⠀⠅⢐⢀⢂⢂⢂⢂⠢⡡⡱⡹⡜⢮⢪⢳⢝⢮⡳⣝⢝⢮⢎⢷⢝⣞⣝⢮⣳⢵⢫⡣⡱⣕⣗⢕⣽⢽⡾⣯⢻⢝⠅⠈⢌⠪⠈
⣿⢽⡪⡳⠁⠁⠁⡐⠌⢟⣿⣿⣿⣿⣿⢿⠻⠋⠋⡊⡈⠄⡐⢐⠐⡐⢐⠀⡂⢀⠀⠀⠀⠀⠄⠀⠀⠄⠀⢀⠀⠂⠀⠨⡀⡂⡐⡐⡐⡐⡐⡐⣐⢰⢨⢢⢲⢔⡕⣕⢧⢳⡹⣕⢝⡕⣧⢷⡽⣾⣺⣽⣳⣟⣟⣷⡳⣳⡫⣏⢏⢎⢇⢧⠡⢂⠂⠀⠀
⣯⢳⢑⠀⠀⠀⠀⠀⠅⢅⢻⣿⢿⠫⢃⢐⢐⠨⢐⢀⠂⠅⡂⢐⠀⡂⠐⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⡀⠀⠀⠀⠀⢀⢐⠰⡸⡐⡆⡖⡔⡜⡜⡜⡜⡜⡕⡕⡇⡇⡇⡗⡕⣕⢵⣱⣯⡿⣯⡿⣗⢿⡺⡳⣝⢮⡪⡺⡸⡸⡘⢜⢜⢜⠌⠌⡀⠀⠄⡀
⣕⢇⠁⠀⠀⠀⠄⠀⠀⠂⡂⡋⠢⠨⢐⠐⡐⠨⢐⠀⡂⠡⠐⠀⠄⠀⠀⠀⠠⠀⠀⠠⠀⡀⠄⠂⠠⠀⠄⠂⠐⠈⢀⠀⢕⢘⢜⢜⢜⢜⢜⢜⠜⠜⠜⢜⢜⢜⢜⢜⢜⢜⢜⢜⢾⡳⡻⡹⡸⡸⡱⡱⡱⡱⡱⡱⡑⢕⢌⢎⡮⡪⡢⡡⡡⠢⡑⠕⠌
⣇⠣⠀⠀⠀⢀⠀⠀⠀⠀⢐⠠⠁⠅⡂⢂⠐⡈⠄⢂⠐⠀⠈⠀⠀⠀⡀⠄⠠⠐⢀⠂⢐⠀⡂⠡⢈⠐⡈⠄⠡⠈⠄⢐⠠⠑⢕⢕⢑⢐⢐⢐⠨⠨⡨⡐⡄⡕⡕⡕⡕⡕⡕⡝⡜⡜⢜⠜⡜⡌⡊⡪⡊⡎⡎⡎⡮⣮⡫⢯⠫⡪⡡⡱⣨⣢⡪⣎⢆
⠔⢁⠀⠀⠀⢀⠀⠀⠈⠀⠀⢂⠁⡂⢂⠐⡀⠂⠈⠀⠀⠀⠄⠐⡈⠄⢐⠀⠅⠨⠠⠈⠄⡂⢐⠈⠄⢂⠐⠨⠀⠅⠂⠄⠨⠨⡂⡢⡑⢕⢕⢕⢕⢕⢜⢜⢜⢜⢜⢜⢜⠌⢎⠪⠪⡘⢔⢕⢔⢌⢜⣜⡼⣼⢎⡯⣯⣺⡼⣮⢷⢽⣺⡽⣵⣳⢽⢮⢯
⠠⠠⠀⠀⠀⡀⠠⠀⠂⠀⠀⢐⠀⡂⢐⠀⠂⠈⠠⠐⡈⠄⠡⠁⠄⠑⢄⠂⠡⠡⠡⡁⡂⢂⢂⠈⡂⡂⠨⠀⠅⠡⢈⠐⢈⠂⠂⠂⠊⠢⡑⡕⡕⡕⡕⡕⢕⢕⠕⢕⢑⢅⢕⢕⢅⢇⢇⣇⣧⣷⡿⣾⣻⣽⣽⣞⣟⣾⢽⣯⢿⣻⢷⣻⣗⣯⡿⣽⣫
⠀⠀⠂⠀⠁⠀⠀⠀⠀⠀⠀⢀⠂⡐⢀⠐⡈⠄⡁⢂⠐⡈⠄⡑⠌⡐⢀⠑⢌⠠⠁⡊⡂⠢⢐⢐⠐⠨⠨⠠⡁⠌⢐⠈⠄⠐⠀⠀⠠⡑⢌⢪⢪⠪⡪⡪⡢⡑⢕⢕⢐⠕⢌⢆⡧⡷⡟⡏⣯⢷⣿⣻⣯⡷⣟⣞⣷⣻⣟⣾⣿⣻⡯⣷⣻⣗⡯⣗⡽
⠈⠄⠠⠀⠀⠀⠀⠀⠀⡀⠈⡀⢂⠐⡀⢂⠐⡀⢂⠂⡐⢀⠂⢌⠂⡂⢐⢈⢐⢑⢄⠂⡂⠁⠐⠐⠌⢌⠨⠨⡈⠢⢀⠂⡀⢈⠀⠄⠅⢌⢂⠢⡑⠕⢌⠪⠨⡊⡢⠡⠥⠓⢙⢉⣌⣴⣺⢾⢻⢫⡓⡧⣳⡿⣿⣽⢿⣯⣿⣽⢾⣯⣟⡷⣗⡯⣯⣳⡻
⠨⠨⠠⡁⠄⠀⠂⠀⠁⠀⢀⢂⠐⡀⢂⠐⠄⢂⠐⡐⡀⢂⠑⠄⠅⠀⠂⠢⡀⡂⢆⠢⡀⠅⡌⡆⡕⡐⠕⠌⠌⠌⠄⠀⢄⠢⢐⢄⢂⢀⢂⠡⡈⠨⡀⡡⠡⡐⣄⣕⡼⣜⡾⡳⡫⡪⡪⡪⡪⡲⡱⣽⣟⣿⣟⣾⣿⣟⣾⣾⣻⣞⣷⣻⣳⣻⣞⡮⣯
⠨⡈⢢⢪⠂⠄⢀⠀⠀⡐⢐⠄⡂⢐⠀⡂⢅⠐⡐⡐⡀⠢⠁⡁⠂⢀⠁⠐⠐⡐⠠⠑⠄⠅⡀⢌⠪⡂⡌⣂⣑⠱⣡⢣⢢⢑⢰⢰⡱⡐⠔⠕⢌⠪⠢⠡⡃⡗⡟⡓⢏⢇⢣⢱⢱⢱⢱⢱⢱⣱⣿⣟⡏⢿⣯⣿⣷⣿⣻⣾⣯⣷⢿⣽⣻⣞⢾⡽⣽
⢸⢐⢸⢸⢸⢈⠐⡀⢂⢂⠢⡑⡀⢂⠐⡀⠂⢅⢐⠐⠠⠡⠢⡪⡌⠀⠄⠂⢀⠈⡀⠂⠠⠀⢌⢂⢑⢸⡺⣔⡦⡓⡕⡕⡔⢌⢆⢳⢝⡮⡈⡊⡢⡑⢅⢃⠪⡢⡊⡪⡪⡢⡣⡣⡣⡣⡣⣣⣷⣿⣽⣾⣦⣲⣷⡿⣞⣯⣟⠗⢏⠚⠍⢥⢩⢌⠭⡙⣙
⢎⢐⢸⢸⠸⡐⠅⡂⢂⠢⠨⡪⡢⢐⠀⡂⠅⢂⠢⠡⠡⠡⡐⠄⡑⢅⠀⠐⠀⡀⠠⠐⠀⠀⠂⠢⠂⠢⣻⡽⣞⣧⣫⢮⣪⣪⣺⣺⣽⡊⠂⠂⡂⡊⡢⠡⡑⢌⢌⠪⡨⡪⡪⡪⣪⢾⡾⣿⣟⢿⢯⠟⠾⢙⢓⢙⢩⢐⡐⡌⡆⡇⡏⡎⣎⢎⡇⡧⣣
⢜⢐⠸⡘⠌⠌⠀⠀⠀⠌⢜⢌⢎⢆⠐⡐⠨⠠⠡⠁⠀⡑⠌⡐⡈⡂⢀⠈⢀⠀⠠⠐⠈⠀⠂⠐⠀⠐⠘⡽⣿⣾⣯⣷⣷⣷⢿⡾⡓⡄⢅⠢⠠⠠⢈⢐⠈⡂⠢⢑⠰⠬⠺⠝⠏⠏⢋⢃⠡⠡⡐⡌⡌⡲⡰⡱⡱⡱⡱⡱⡱⣱⢱⢕⡕⣇⢗⡝⡮
⢱⠠⢑⠅⠁⡌⡂⡂⠄⠠⡑⡕⡕⡕⡅⡂⡑⢌⠨⠠⠀⠈⢂⠢⠂⠂⠀⠄⠠⠐⠀⡀⢁⠈⠀⠂⢁⠀⢁⠨⡓⡟⢿⡻⡯⡟⡫⠨⡐⡈⠂⠅⢑⠡⠑⡀⠅⠨⠈⠄⠨⠀⠅⠌⢄⢅⢢⢢⢣⣣⣣⡧⣷⣽⣾⣾⣾⢷⣿⢾⣟⣾⡷⣷⣿⣾⣵⣯⢾
⢕⢕⠠⢱⢱⢸⢨⢪⢢⢪⢪⢪⢪⢪⢪⢢⢈⠢⡢⠁⠅⡐⠀⡀⠄⠂⠁⠠⠀⠂⠀⠄⠀⡀⠁⠠⠀⠠⠠⡣⡱⡸⡰⡸⡸⡘⡜⢜⢔⢌⢪⠨⣂⠪⡢⡢⡡⡡⡑⡕⢕⢕⢕⢍⢎⢎⣮⣾⣷⣿⣿⣷⣷⣿⣿⣟⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⣽⣾⣿
⢕⡕⡅⡘⣜⢜⢜⢜⢜⢜⢜⠸⡸⡸⡸⡸⡰⡱⡘⡌⡐⠠⠡⠠⠀⠄⠁⡀⠂⠈⡀⢈⠀⡀⠐⠀⡢⡑⢕⢜⢜⢜⢜⢜⢜⢜⢜⢌⢎⢎⢆⢇⢆⢇⢎⢎⢎⢎⢎⢎⣎⣮⣮⣾⣽⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣟⣷⣿⣿⣿⣿⣽⣿⣿⣿⣿⢿
⢧⢣⢣⠂⢇⢇⢗⢕⢕⢕⢕⢱⢱⢱⢱⢱⢱⢱⢱⢱⢨⠨⡈⡈⠠⠀⢁⠀⠄⠁⡀⠄⠀⡀⠄⢕⢌⢎⢎⢆⢣⢣⢣⢣⢣⢣⢣⢣⢣⢣⢣⣣⣇⣧⣣⣷⣷⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣾⣿⣻⡿⣯⣿⣿⣽⣿⣷⣿⣿⣟⣿⣿
⢕⡝⡬⡣⡱⡑⠕⡝⡜⢔⢈⢎⢎⢎⢮⢪⡪⡪⡪⡪⡪⡪⡪⡪⡪⡪⡢⣂⢢⠡⡢⠨⡂⢪⢪⢢⢣⢑⠕⢕⢕⢑⢕⢑⢕⢑⢕⢕⢕⢕⢕⢜⢜⢜⢝⢜⢕⢏⢏⢏⢏⢯⢳⢫⢏⢯⡫⡫⡫⡣⣋⢋⡋⡊⡃⠫⢙⢙⠫⠳⠫⠿⠽⢯⢷⣻⢿⡿⣾
⢱⢱⢱⢑⢕⠅⡅⡇⢫⡂⡎⣎⢮⢺⢜⢕⡕⡕⡕⡕⡕⣕⡧⡣⡣⡣⡈⡂⠢⡑⢌⠢⡨⡸⡰⡑⠅⠑⠡⠑⠐⠐⠀⠀⠐⠐⠐⠐⠅⠕⠕⠕⢕⢕⢕⢕⢕⢕⢕⢕⢕⢕⢕⢕⢕⢕⡕⣝⢜⢎⢎⢎⢎⡎⡎⡞⡔⡆⡮⡌⡬⡨⠨⠠⠡⠩⡉⡛⠻
⢇⢇⠇⢕⠑⡕⡕⡐⠄⡕⣕⡕⣗⢽⢸⡱⡕⡕⡇⡏⣞⣾⢣⢣⢣⢣⠣⡣⡣⡣⡣⡣⡣⡣⡑⠅⠅⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠈⠈⠂⠢⠡⡑⡑⠕⠕⠕⢕⢕⢕⢕⢕⢕⢕⢕⡕⡵⡹⡸⣕⢵⢝⢮⡫⣮⡳⣝⢮⣞⣽⣪⣎⣆⡢⡈⡂
⠣⠢⡑⢄⢕⠕⢔⢌⢌⢞⢼⡪⣗⢝⡎⡮⡪⡪⡪⡪⡺⠊⠂⠀⠁⠂⠐⢈⠈⠌⠊⠊⢊⠪⠈⢈⠀⠀⠀⠀⠈⠀⠈⠀⠀⠁⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠁⠂⠁⢕⢕⢕⢕⡕⣇⢗⡝⣎⢯⢮⢳⣽⣷⣿⣾⣿⣿⣿⣿⣾⣿⣾⣷⣿⣷⣦
⠈⠀⢐⢌⠎⢌⢢⢡⢳⢝⡷⣝⢮⡳⡹⡸⠨⠈⠈⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠈⡀⢈⠠⠀⠂⠀⠀⠀⠀⠈⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠁⠀⠀⡀⠀⠀⠀⠀⠀⡀⢄⠑⠕⠕⠕⠕⠕⠕⠽⣞⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣾
⠠⢐⢐⢵⡱⡵⡑⣜⢽⢵⢯⡳⡯⣺⢱⠑⠀⠀⢀⠀⠀⢀⠠⠐⠀⠀⠀⠀⠐⠀⠀⠀⠀⡁⠄⠀⠀⠀⠂⠀⠠⠀⠈⠀⠀⠄⠀⠈⠀⠀⠠⠀⠄⠀⠀⠀⠀⠁⠀⠀⠀⠄⠅⠅⢅⠡⠐⢀⠁⡂⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢌⢂⠂⡗⡯⡫⠸⡼⣝⣯⢯⢯⢯⡺⣘⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠠⠀⠠⢑⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠐⢈⠀⠀⢀⠀⠀⠀⠈⠀⢂⠠⠀⠠⠀⠠⠡⠡⡑⢀⠂⡈⠄⣰⣼⣿⣿⣿⣿⣯⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿
⠈⠢⡑⠐⠨⡘⢌⣯⢷⢯⣟⣽⡳⡝⡆⠀⠀⠀⡀⠀⠀⠐⠀⡀⠄⠀⠀⠀⠀⠈⠀⠀⠀⠀⢅⢑⢄⠀⠀⠀⠂⠀⠐⠀⠀⠀⢐⠀⠅⠀⠀⢂⠀⠀⠀⠀⠐⢈⢐⢀⠪⠨⡈⠂⠄⢂⡤⣷⣿⢿⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⢿⣿⣾⣿⣿⣿⣿⣿⣿

new madoka magica madoka homura homura akemi

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠐⡀⡠⡠⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠐⢈⠢⠪⠈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠐⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠠⡐⢔⣐⢢⢒⠢⠤⡠⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⡘⢄⢕⢕⢍⢎⢆⢇⢇⢏⢇⢗⢜⢬⢢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⡁⢆⢎⢎⢎⢎⢎⢎⢎⢎⢎⢎⢎⢮⢪⢎⢮⢪⡪⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠉⢻⡂⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢊⢢⢪⢪⣾⡺⡞⡮⡾⡼⣮⢮⣪⡪⡣⡣⣣⢣⡳⡱⣕⢝⢆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⡐⠙⢿⣻⣯⡷⣆⠀⠀⠀⠀⠀⠀⠀⠔⡌⡂⡅⡏⡰⡁⡃⡣⠣⢣⢣⢫⢫⢻⢻⣮⣎⢮⡪⣳⢕⡝⣝⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡂⢦⣤⡈⠺⣯⣷⡂⠀⠀⠀⠀⠀⢀⠣⡣⡣⡫⡪⡺⡸⡸⡎⡇⡧⡣⡣⣣⢓⢕⢎⢞⢷⣽⡺⣕⢝⢼⠬⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡂⠌⠈⠚⣿⣿⡶⡼⣞⣷⠀⠀⠀⠀⠀⢐⢱⢱⢱⠝⢨⡣⠋⢪⢎⠞⣸⢱⢕⢵⡫⡪⣇⢏⡮⣺⢽⡸⣪⢳⡹⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠉⠀⢍⠢⡀⠛⣯⣯⢽⣞⣇⠀⠀⠀⠀⠠⡣⡇⡗⠀⣳⢲⢦⡽⡁⠁⢸⢜⠊⠀⣯⡺⢕⣗⣯⡺⣕⡕⡧⣯⡪⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠀⠣⠀⠢⠡⣺⣤⡈⣞⣇⣿⣺⠄⠀⠀⠀⠨⡪⡪⡊⠀⢎⡹⢱⠃⠀⠐⠈⢁⠀⠰⡸⣐⡘⡎⣺⡞⣎⢞⢼⣗⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠐⠠⠀⢣⠈⠢⢺⣿⣿⡷⣗⢗⣟⣷⠀⠀⠀⢨⢪⢣⡃⠠⠀⡈⠁⠄⠂⠁⠀⡀⠀⢄⠗⡯⢾⠑⢪⡳⣕⠽⣽⡳⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠈⠂⢄⠑⢌⠘⢿⣿⣿⡽⣷⢽⣺⠄⠀⠀⢰⢱⢱⡅⠀⡀⠀⠐⠀⢀⠐⠀⢀⠠⠈⠑⠘⠑⠀⡺⣜⢮⣣⢗⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣒⢢⠢⢔⡀⢌⠎⠂⠥⣖⡯⡪⡫⣟⣯⢟⡄⠀⠀⡪⡪⣪⡷⣅⠀⠀⠂⠀⢄⠀⠄⠀⢀⠐⠈⠀⠂⡰⣝⢮⣺⢾⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⣞⣗⣟⣶⡽⠀⠀⠀⠀⠑⠱⢍⢻⢽⢚⢍⠕⠆⢐⢝⡜⢼⢽⡯⣟⣦⡀⡂⠀⠈⠀⠠⠀⠀⠠⠐⢠⡳⣣⣳⣽⡳⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⡾⣵⣳⢯⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⠠⢄⢆⡧⣯⡞⣕⣿⢽⣻⣞⣿⣔⡢⡨⠤⡴⣤⣬⢶⢶⡳⣝⣾⣺⢾⣝⢕⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣺⣳⣻⣺⣺⢽⠅⠀⠀⠀⠀⠀⠀⢀⢄⢆⢕⢐⠅⢕⢐⢹⣳⢕⡕⣯⡿⣳⣟⡾⣪⣷⣏⣷⢿⡽⣞⣿⢽⣺⣳⣟⣾⣻⡎⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⣾⣺⢾⣺⠾⠝⠫⡂⠄⠂⢂⠨⠈⠌⢂⠁⡂⢐⠠⠁⠅⡑⢐⠑⠇⢯⢗⢟⢽⢳⢝⣿⣳⡗⣽⢿⣽⣻⣞⡷⣯⢷⣻⣞⡾⣝⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢮⡾⠻⠙⠔⢄⠕⢄⠅⠂⡂⠅⠢⠠⠡⠨⡀⡂⡂⣁⢂⢅⡡⣐⢠⢈⡐⡐⠨⢪⣪⡺⢜⠲⣣⢳⢝⢟⣞⣗⣯⢿⢝⢯⡷⡯⣟⣗⢵⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⠀⢈⢊⠢⡑⢌⠀⠂⡐⠈⠄⠡⢈⠐⡀⢂⠐⡀⡕⢅⢊⠢⡂⡂⡐⡈⡐⢔⢱⠸⡘⢌⢞⡞⣼⡸⣔⣟⠞⡕⠍⢕⠩⣻⡽⣞⢎⡂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠠⡡⢃⢃⡃⢀⠀⠀⠈⠀⢑⠀⢂⠐⡀⠂⠄⢎⢂⢢⢑⢄⢕⠅⡕⡌⡆⢥⢑⠌⡂⣟⢧⠳⢻⡺⡱⢑⠌⡊⡢⢑⢐⢟⣷⢹⠄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⡊⡢⢑⠔⠄⠄⠄⠄⠐⠄⡐⠠⠀⠄⠂⠌⡪⡐⢌⠢⢡⢱⢱⢸⢨⠨⡂⡢⡑⢌⢂⢥⢴⢺⢘⠌⡢⢑⠰⡨⢢⠣⣽⣺⢕⢧⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢀⡜⠔⠁⡅⠕⠨⠐⡈⠄⡃⠄⠨⠀⠅⡈⡂⢣⢊⢔⠱⡑⢅⢣⠣⡑⢕⠢⡢⡪⡰⣝⢕⢥⡱⡐⢅⠪⡒⡍⢜⠨⠀⣗⣟⡎⣗⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠄⠀⠀⠀⠀⠀⠀⡼⠀⢀⢐⠌⠠⠈⠨⠐⠐⠂⠌⠂⠅⠂⠂⠂⠂⠑⢀⠁⢌⠢⢱⢩⢌⠢⡑⢔⢨⠠⡠⡠⣐⢆⢪⠸⠘⠈⠀⠀⠀⠀⣞⡷⣝⢮⡂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢀⠀⡀⠠⣰⠥⠒⠘⡸⡐⢀⢌⡀⠈⡀⠐⠀⠐⠀⠨⠀⠅⠁⠁⠂⠄⠨⢌⢊⢎⢆⢑⢌⢢⠑⠑⢜⢝⠔⠁⡃⠀⠀⠀⠀⠀⠀⠠⣯⢿⣝⢮⡢⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠑⠘⠀⠑⠈⢪⠃⠀⠀⠀⠃⡂⠹⡕⣇⠂⠀⠐⠈⠀⡈⠠⠰⣢⡪⣄⡂⠈⢘⠈⠂⠃⡣⡑⠔⡐⠄⢑⠈⡎⡆⠀⡕⠀⠀⠀⠀⠀⠀⢸⡽⣯⢾⣣⢳⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠂⢱⠹⢜⠀⢈⠀⠈⡀⠀⠄⠂⣅⢯⢮⠈⠆⠀⠄⠅⠔⣸⢾⣵⢷⣽⣄⠀⢸⠢⢀⢅⠀⠀⠀⠀⠀⠀⣽⢯⡯⡿⣎⢗⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⡡⠀⡑⢊⠀⠄⠀⠁⡀⠄⠐⠈⢆⢃⠅⡁⠄⠂⠡⠡⠡⠘⣽⢯⣟⣗⣟⣆⠀⢯⡰⠐⠀⠀⠀⠀⠀⢨⡿⡽⣯⣟⣗⢧⢣⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠀⠀⠀⠀⠀⠀⠀⢂⠀⠄⠀⠰⠀⠈⠀⡀⠠⠐⢀⠐⠀⢂⠀⠄⠀⠌⡊⡂⠁⠍⣷⣳⣳⢯⢾⡄⢘⠪⠐⠀⠀⠀⠀⠀⣵⣟⣯⣷⣻⣞⡕⣗⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣇⠀⠀⠀⠀⠀⠀⠀⠀⠂⠄⠈⢀⠀⢁⠠⠀⠠⠀⠠⠀⠁⢀⠀⠄⢂⠔⢀⡀⠨⠀⢻⣺⣺⢽⢽⣞⣎⠐⠀⠀⠀⠀⠀⢐⣟⣾⣳⢷⣳⣟⢮⡺⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠠⡀⠐⠀⠂⠄⠂⠀⠂⠈⡀⠄⠢⣑⣼⢯⣟⡎⠀⠈⢳⡯⣯⣻⢮⡗⠛⠒⡄⠀⠀⠀⣞⣟⣾⢽⢯⡷⣯⣗⡯⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⢀⡠⣤⣖⡾⣮⢦⣡⣔⡴⣬⢦⢧⡮⣞⣯⣿⣺⡽⣞⠄⠀⢠⠋⠻⣳⣽⡽⡆⠀⠀⠘⡄⠀⢰⢯⡷⡏⣿⢽⣽⣳⡗⢽⣪⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⢠⣮⡷⣟⣷⢯⡿⣽⢯⣿⣺⢿⣽⣻⢯⣟⣯⣷⣻⣞⡿⣧⣁⠀⠀⠡⠀⠈⠳⢟⣇⠀⠀⠀⠁⠀⢞⣯⣟⡇⢺⣻⣞⣷⣻⠀⡷⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⢠⣟⣷⣻⣻⣞⡯⣯⡯⣿⣺⣽⣻⢾⡽⣯⣟⡾⣺⣳⢽⢾⢽⣽⡻⣷⣬⡐⠔⡠⢀⠙⠀⠀⠀⡀⡌⠘⣞⣷⠃⠈⣷⣻⣞⡮⡃⢺⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⢀⡾⣗⣿⣺⣗⣗⣯⡷⣟⣯⢷⣻⣺⢽⢽⣺⢮⣟⣗⡯⡯⣯⢟⡾⣝⣗⣷⣻⣳⡄⠑⢨⠨⡈⡢⠘⠀⠀⢿⢾⠀⠀⢺⣳⢯⡯⠂⠸⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡮⡿⣽⢾⣳⢯⣞⣗⡯⣟⢾⢽⣺⣞⣯⡿⣽⢯⣗⢷⣫⡿⣽⢯⢯⣟⣞⡮⣯⡷⣿⣅⠐⡀⠈⠀⠀⠀⠀⢹⡏⠀⠀⠘⣾⢯⡏⠀⠈⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⡽⣯⢿⢽⢽⣺⢮⢯⡯⣟⣯⡷⣟⡾⣽⣝⢷⡽⣯⡯⣿⢽⡽⣳⡽⡾⣝⡷⣻⣗⣿⡀⢂⠀⠀⠀⠀⠀⠸⠅⠀⠀⠀⣟⡇⠃⠀⠀⠀⠀⠀⠀⠀

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