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˛. (´• ̮•)*.. .*/♫.♫\*˛. * ˛_Π_____.♥*.*☆҉ ˛**. ˛*.。˛. *☆҉
.°( . • .) °../• '♫ ' •\.˛*./______/~\*. ˛*.。˛* ˛*.。˛* ˛. *☆҉
*(...'•'.. ) *˛╬╬╬╬╬˛°.|田田 |門|╬╬╬╬╬*˚*. ˛*.。˛* ˛. *☆
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(☆*✦✦ℳerry ℭhristmas & A ℋappy 2025 :3 ✦✦ *☆ )
🟦🟦🟦🟩🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦🟦
🟦🟦🟩🟩🟩⬜⬜⬜⬜⬜🟩🟦🟦🟦🟦
🟥🟩🟩🟩⬜⬜⬛⬜⬛⬜⬜🟦🟦🟦🟦
🟦🟦🟦🟦⬜⬜⬜🟧⬜⬜⬜🟦🟫🟦🟦
🟦🟦🟫🟦⬜⬜⬜⬜⬜⬜⬜🟦🟫🟫🟦
🟦🟫🟫🟦🟩🟥🟩🟥🟩🟥🟦🟦🟫🟦🟦
🟦🟦🟫🟦🟩🟥🟩🟥🟩🟥🟦🟫🟫🟦🟦
🟦🟦🟫🟫🟥🟥⬜⬜⬜⬜⬜🟫🟦🟦🟦
🟦🟦🟦⬜🟩🟩⬜⬛⬜⬜⬜⬜🟦🟦🟦
🟦🟦🟦⬜🟥🟥⬜⬜⬜⬜⬜⬜🟦🟦🟦
🟦🟦🟦⬜⬜⬜⬜⬛⬜⬜⬜⬜🟦🟦🟦
🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟦
🟦🟦🟦🟦🟦⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦
🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦
⣿⣇⠄⠠⠄⢀⡿⠏⣁⣢⡶⠄⢿⣿⣿⣿⣿⣿⣿⠿⠿⠛⣛⠙⣿⣿
⣿⣿⣆⣄⣰⠎⣠⡾⣯⢷⣟⡃⢌⣉⣉⡉⢍⣉⣤⡾⣞⡿⡯⡆⢺⣿
⣿⣿⣿⡿⢁⣼⢿⢽⢯⣟⢲⢸⢼⣯⠣⡪⣞⣯⢷⣻⡽⣯⣟⡇⣼⣿
⣿⣿⠿⢣⡾⡏⢟⣯⢿⡽⣦⢿⣽⢾⣼⣺⣻⣞⣯⢷⣟⣷⡻⠄⣿⣿
⣿⣧⢺⣺⣽⠤⠠⠘⢻⣽⢿⣿⣿⣿⣾⣗⡿⠺⠙⠻⣺⣞⡇⢰⣿⣿
⣿⠋⣼⣳⣇⣨⣤⢶⣿⣿⣬⣯⣝⣫⣿⣥⡀⡈⠰⣶⣟⣾⡻⠄⣻⣿
⣿⡂⡻⡚⡡⠑⠄⠌⠉⠻⠟⠋⢉⠉⠍⡙⢻⢶⡴⣗⣟⡾⣶⣄⢻⣿
⣿⣷⠩⢈⣄⡈⠄⠂⠁⠄⠂⠈⠄⢄⣂⡈⠢⠹⣝⣯⢷⢿⡕⢡⣾⣿
⣿⣿⢰⣿⣿⣷⠁⠪⠂⢀⠈⠄⡁⣿⣿⣿⣷⣦⣕⠮⣹⢹⢲⠈⣿⣿
⣿⣿⢸⣿⣿⣿⠄⠈⠄⠄⠄⡄⠄⢻⣽⣿⣿⣿⣿⣿⣮⣌⠰⣾⣿⣿
⣿⣿⣄⢻⡽⠆⢄⠄⠄⠄⠐⠘⠈⠄⠳⣻⢿⣿⣿⣟⣷⣻⣳⣌⢻⣿
🟪🟪🟪🟪🟪🟪🟥🟥🟪🟪🟪🟪🟪🟪
🟪🟪🟪🟪🟪🟪🟥🟥🟥🟪🟪🟪🟪🟪
🟪🟪🟪🟪🟪⬜⬜⬜⬜🟪🟪🟪🟪🟪
🟪🟪🟪🟪⬜⬛⬜🟨🟨⬛🟪🟪🟪🟪
🟪🟪🟪🟪⬜⬜⬜🟥🟥⬜🟪🟪🟪🟪
🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪
🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪
🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪
🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪
🟪🟪🟫🟨🟨🟨🟨🟨🟨🟨🟨🟫🟪🟪
🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪
⣿⣇⠄⠠⠄⢀⡿⠏⣁⣢⡶⠄⢿⣿⣿⣿⣿⣿⣿⠿⠿⠛⣛⠙⣿⣿
⣿⣿⣆⣄⣰⠎⣠⡾⣯⢷⣟⡃⢌⣉⣉⡉⢍⣉⣤⡾⣞⡿⡯⡆⢺⣿
⣿⣿⣿⡿⢁⣼⢿⢽⢯⣟⢲⢸⢼⣯⠣⡪⣞⣯⢷⣻⡽⣯⣟⡇⣼⣿
⣿⣿⠿⢣⡾⡏⢟⣯⢿⡽⣦⢿⣽⢾⣼⣺⣻⣞⣯⢷⣟⣷⡻⠄⣿⣿
⣿⣧⢺⣺⣽⠤⠠⠘⢻⣽⢿⣿⣿⣿⣾⣗⡿⠺⠙⠻⣺⣞⡇⢰⣿⣿
⣿⠋⣼⣳⣇⣨⣤⢶⣿⣿⣬⣯⣝⣫⣿⣥⡀⡈⠰⣶⣟⣾⡻⠄⣻⣿
⣿⡂⡻⡚⡡⠑⠄⠌⠉⠻⠟⠋⢉⠉⠍⡙⢻⢶⡴⣗⣟⡾⣶⣄⢻⣿
⣿⣷⠩⢈⣄⡈⠄⠂⠁⠄⠂⠈⠄⢄⣂⡈⠢⠹⣝⣯⢷⢿⡕⢡⣾⣿
⣿⣿⢰⣿⣿⣷⠁⠪⠂⢀⠈⠄⡁⣿⣿⣿⣷⣦⣕⠮⣹⢹⢲⠈⣿⣿
⣿⣿⢸⣿⣿⣿⠄⠈⠄⠄⠄⡄⠄⢻⣽⣿⣿⣿⣿⣿⣮⣌⠰⣾⣿⣿
⣿⣿⣄⢻⡽⠆⢄⠄⠄⠄⠐⠘⠈⠄⠳⣻⢿⣿⣿⣟⣷⣻⣳⣌⢻⣿
⠀⠀⠀⣴⡿⠟⠷⠆⣠⠋⠀⠀⠀⢸⣿
⠀⠀⠀⣿⡄⠀⠀⠀⠈⠀⠀⠀⠀⣾⡿
⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⢀⣾⣿
⠀⠀⠀⠀⠈⠻⣿⣷⣦⣀⣠⣾⡿
⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⡿⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⢠⠏⡆⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣀⡀
⠀⠀⠀⠀⠀⡟⢦⡀⠇⠀⠀⣀⠞⠀⠀⠘⡀⢀⡠⠚⣉⠤⠂⠀⠀⠀⠈⠙⢦⡀
⠀⠀⠀⠀⠀⡇⠀⠉⠒⠊⠁⠀⠀⠀⠀⠀⠘⢧⠔⣉⠤⠒⠒⠉⠉⠀⠀⠀⠀⠹⣆
⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⣤⠶⠶⢶⡄⠀⠀⠀⠀⢹⡆
⠀⣀⠤⠒⠒⢺⠒⠀⠀⠀⠀⠀⠀⠀⠀⠤⠊⠀⢸⠀⡿⠀⡀⠀⣀⡟⠀⠀⠀⠀⢸⡇
⠈⠀⠀⣠⠴⠚⢯⡀⠐⠒⠚⠉⠀⢶⠂⠀⣀⠜⠀⢿⡀⠉⠚⠉⠀⠀⠀⠀⣠⠟
⠀⠠⠊⠀⠀⠀⠀⠙⠂⣴⠒⠒⣲⢔⠉⠉⣹⣞⣉⣈⠿⢦⣀⣀⣀⣠⡴⠟
🎃──────▄▄───▐█─█▐███▐███▐███▐█─█🎃🎃🎃🎃
🎃──▄▄▄█▄▄▄──▐█▄█▐█▄█▐█▄█▐█▄█▐█▄█🎃🎃🎃🎃
🎃▄█▀█████▀█▄▐█─█▐█─█▐█──▐█──▄▄██🎃🎃🎃🎃
🎃█───███───█ 🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃
🎃████▀─▀████▐─█▐██▐─▐─▐██ ▀█▐▐▐▀▐▀▐█▐🎃🎃
🎃█▄▀▀▀▀▀▀▀▄█▐▀█▐▄█▐─▐─▐─█ ─█▐▐▐▀▐▀▐▐█🎃🎃
🎃─▀█▄▄▄▄▄█▀─▐─█▐─█▐▄▐▄▐▄█ ─███▐▄▐▄▐─█🎃🎃
🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃🎃
⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ 𝐇𝐚𝐯𝐞 𝐚 𝐥𝐨𝐯𝐞𝐥𝐲 𝐝𝐚𝐲
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
n(n+1)/2
Prove:
1 + 2 + 3 + ... + n = n(n+1)/2
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀:
⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ 𝐇𝐚𝐯𝐞 𝐚 𝐥𝐨𝐯𝐞𝐥𝐲 𝐝𝐚𝐲
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀
⡇⣿⠹⣿⡇⡟⠛⣉⠁⠉⠉⠻⡿⣿⣿⣿⣿⣿⣦⣄⡉⠂⠈⠙⢿⣿⣝⣿
⠤⢿⡄⠹⣧⣷⣸⡇⠄⠄⠲⢰⣌⣾⣿⣿⣿⣿⣿⣿⣶⣤⣤⡀⠄⠈⠻⢮
⠄⢸⣧⠄⢘⢻⣿⡇⢀⣀⠄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠄⢀
⠄⠈⣿⡆⢸⣿⣿⣿⣬⣭⣴⣿⣿⣿⣿⣿⣿⣿⣯⠝⠛⠛⠙⢿⡿⠃⠄⢸
⠄⠄⢿⣿⡀⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⡾⠁⢠⡇⢀
⠄⠄⢸⣿⡇⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣫⣻⡟⢀⠄⣿⣷⣾
⠄⠄⢸⣿⡇⠄⠈⠙⠿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⠊⢀⡇⣿⣿
⠒⠤⠄⣿⡇⢀⡲⠄⠄⠈⠙⠻⢿⣿⣿⠿⠿⠟⠛⠋⠁⣰⠇⠄⢸⣿⣿⣿
𝖍𝖆𝖛𝖊 𝖆 𝖓𝖎𝖈𝖊 𝖉𝖆𝖞
𝓗𝓪𝓹𝓹𝔂 𝓐𝓾𝓰𝓾𝓼𝓽
🟪🟪🟪🟪🟪🟪🟥🟥🟪🟪🟪🟪🟪🟪
🟪🟪🟪🟪🟪🟪🟥🟥🟥🟪🟪🟪🟪🟪
🟪🟪🟪🟪🟪⬜⬜⬜⬜🟪🟪🟪🟪🟪
🟪🟪🟪🟪⬜⬛⬜🟨🟨⬛🟪🟪🟪🟪
🟪🟪🟪🟪⬜⬜⬜🟥🟥⬜🟪🟪🟪🟪
🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪
🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪
🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪
🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪
🟪🟪🟫🟨🟨🟨🟨🟨🟨🟨🟨🟫🟪🟪
🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪
⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬛
⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬛⬛⬜⬜⬛⬜⬜⬛
⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜⬛⬜⬜⬛
⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬛
⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬛⬛⬜⬜⬛⬛⬛⬜⬜⬛⬛⬛⬛
⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬛⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜⬛⬛⬛⬛
⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛
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⠀⠀⠀⠀ ⠀⠀⠀
⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀
🟪🟪🟪🟪🟪🟪🟥🟥🟪🟪🟪🟪🟪🟪
🟪🟪🟪🟪🟪🟪🟥🟥🟥🟪🟪🟪🟪🟪
🟪🟪🟪🟪🟪⬜⬜⬜⬜🟪🟪🟪🟪🟪
🟪🟪🟪🟪⬜⬛⬜🟨🟨⬛🟪🟪🟪🟪
🟪🟪🟪🟪⬜⬜⬜🟥🟥⬜🟪🟪🟪🟪
🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪
🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪
🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪
🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪
🟪🟪🟫🟨🟨🟨🟨🟨🟨🟨🟨🟫🟪🟪
🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪
⠀⠀
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⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
:
: ⠀
:
⠀ ⠀
⠀⠀
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⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Nep ___ Nep !
⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀
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