Hornier Emojis & Text

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⠁⠀⠀⠀⠀⠀⠈⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡞⡥⠀⠀⠀⠀⣠⠴⢀⣠⠤⢦⡀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡞⢸⠁⠀⠀⣠⢚⡥⠚⠉⠀⠀⠘⣗⡄⠀⠀⢰⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⠇⡎⠀⠀⣰⡳⠋⠀⠀⣠⣤⠶⠢⡿⣸⣆⠀⠈⣧⣄⢸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡄⢳⣠⣾⡟⠓⠆⠀⠘⠙⢀⣤⣶⢿⣤⣹⡅⠀⣿⠈⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠸⡇⣾⡛⣶⡦⠀⠀⠀⠛⢱⢼⣷⠸⠋⢣⠀⡇⣹⠛⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢱⠀⠹⣏⠉⢟⣻⣀⠀⠀⠀⠐⠛⠛⠐⠀⠘⣴⡽⣇⠀⢸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢇⠀⠘⡄⠀⠀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⢹⡀⠈⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢦⠀⢻⢦⡀⠈⠰⠶⠒⠂⠀⠀⢀⡤⠀⡇⢘⡆⢇⠀⠸⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⡼⡀⣟⡶⢄⡀⠀⢀⡠⠖⠁⠀⢀⡇⢸⢻⠸⡀⠀⣿⢇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⢳⠟⢀⠷⠈⣹⡇⠀⠀⠀⠀⣼⢣⡞⢸⠀⡇⢰⣼⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⣠⠋⢀⡼⠟⠊⠟⠀⠀⠀⠀⠀⣿⠀⠑⢯⣀⣇⣎⢏⡞⠀⠀⠀ ⠀⠀⠀⢀⡠⠾⠔⠓⢞⣁⣀⣀⠀⠀⠀⠀⠀⠀⠀⢻⣀⣀⣀⡈⠛⠿⠯⣀⠀⠀⠀ ⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⠉⠉⠉⠉⠉⣧⡀⠀⠀⠀⠀⠀⠀⠑⡄⠀ ⠀⠀⢻⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠧⠀⠀⠀⠀⠀⠀⠀⢹⡆ ⠀⠀⢸⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⡼⠃ ⠀⠀⠘⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢠⠇⠀ ⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⡎⠀⠀ ⢠⠇⣠⡂⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⡄⠀⠀⡸⠀⠀⠀ ⢸⡀⠛⠄⢀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢀⠵⠀⠀⡇⠀⢀⠇⠀⠀⠀ ⠀⢷⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠂⠀⠀⠀⣰⠁⠀⣾⠀⠀⠀⠀ ⠀⠀⠑⢤⣀⠀⠀⢀⣠⠴⠋⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⣀⡴⠁⠀⢠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢻⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠒⠉⡽⠀⠀⠀⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣾⠀⠐⠀⠀⠀⠀⠀⠑⢤⡀⠀⠀⠀⠀⠀⡇⠀⠀⢠⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡄⠀⠀⢠⡀⠀⠀⠀⠀⠙⣄⠀⠀⠀⢰⠁⠀⠀⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⠁⠀⢀⡜⠀⠀⠀⡗⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢸⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⡆⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣻⠁⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠸⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀

chat I lowkey wanna fuck my bro bareback so badly 🤤. I always thought I was straight, but no bitch has ever turned me on this much. hes different. specially when he’s all sweaty after practice and he changes infront of me, he’s caked af im tryna get sum uh that fr. I wanna load him up till I get weak and he tells me to stop. the thought of our sweaty bodies rubbing together makes me hard af.🍑🤤

PLS WHAT-💀

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🤔 ｢(ﾟﾍﾟ) ｢(･ิ.･ิ) ｢(‘◉⌓◉’)

⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⠤⠶⠶⠛⠛⠉⢹⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢰⣀⠀⠀⠀⠀⠀⠈⠹⣆⢱⡄⠀⠀⠀⠀⠀⠀⠉⢻⡄⠀⠘⢷⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠤⠄⠒⠒⠂⠋⠉⠉⡟⠉⠀⢰⠃⠀⠀⠀⠀⣿⣇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⠘⣆⠀⠀⠀⠀⠀⣄⢹⡄⣇⠀⠐⣦⠀⠀⠀⠀⠀⢳⡀⠀⠈⢳⡀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡏⠀⠀⠀⠀⠀⣿⣽⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⢸⡆⣿⡀⠀⠀⠀⠀⠸⣧⢻⣼⠀⠀⢻⣇⠀⠀⠀⠹⣆⢿⡀⠀⠈⢷⠀⠀⠀⠀⣿⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⡇⠀⠀⠀⠀⢠⢿⣿⡄⠀⠀⡇⢹⡄⠀⠀⠀⠀⠀⣿⡟⣧⠀⠀⠀⠀⠀⢹⣷⢿⠀⠀⢸⠸⣧⠀⠀⠀⢹⣎⢧⠀⠀⠈⣧⠀⠀⠀⠀⠀⠙⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⢠⡇⠀⠀⠀⠀⣼⠀⠹⣧⠀⠀⢻⢸⣇⠀⠀⠀⠀⠀⢹⡇⢻⡄⠀⠀⠀⠀⠀⣿⣿⡄⠀⣼⠶⣿⡄⣠⣄⡀⣿⣾⡆⠀⠀⠸⣇⠀⠀⠀⠀⠀⠸⡀⠀ ⠀⠀⠀⠀⠀⠀⢰⣟⢷⠀⢸⡇⠀⠀⠀⠀⣿⠀⠀⠸⣇⠀⢸⣼⣿⠀⠀⠀⠀⠀⣄⣷⣾⣿⡿⠟⠛⠛⠳⣿⡘⣷⢀⡿⠀⠀⠷⠇⢹⡝⢿⡜⣿⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⢠⠴ ⠀⠀⠀⠀⠀⠀⣼⣿⡸⡇⠸⡇⠀⠀⠀⠀⢻⡀⠀⠀⠹⣦⢀⣿⣿⡆⠀⠀⣀⣀⣿⣿⡏⠁⠀⠀⠀⣀⣰⣀⣽⣻⡼⠁⠀⠀⠀⠀⠈⣷⠈⠇⢻⡇⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡿⠻⢷⣽⡀⢧⠀⠀⠀⠀⢸⡿⠿⠗⠂⣿⢮⣿⡀⢿⣴⠞⠋⠉⠉⠉⠛⠠⢶⣲⡿⠿⠛⣁⣈⣬⣭⣄⣀⣀⠀⠀⠀⢸⡇⠀⠈⠃⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⡇⣠⣴⢷⣷⣸⡀⠀⣀⣀⡘⡇⠀⠀⠀⠘⣯⠛⢷⡌⢡⣤⠤⣤⣤⣆⣠⣴⡿⢋⣤⣶⣿⣿⣿⠛⠛⠛⠻⠿⣿⣶⣴⠀⣿⠀⠀⡄⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⡿⠛⠁⠀⠉⠻⣷⠋⠉⠉⠉⢿⡀⠀⠀⠀⢿⣆⡀⠙⠋⠀⠀⠀⠀⠉⣹⢏⣴⣿⣿⡿⠟⠁⣼⠀⠀⠀⠀⠀⠀⠹⣿⡟⣿⠀⢀⡇⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡆⣿⡀⠀⠀⠀⠀⣈⣤⣤⣤⣤⣴⣧⠀⠀⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⢩⣾⡿⢷⣄⣀⣀⡴⠃⠀⠀⠀⠀⠀⠀⢠⡿⠁⢸⠀⢸⠀⠀⣤⠀⠀⠘⣿⡆⠀⠀⠀⠀ ⣄⡴⠶⠶⣶⣧⢿⠀⢀⣴⣾⣿⣿⣷⣶⣶⣶⣯⣿⢷⡄⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠸⠟⠀⠀⠈⠘⠁⣀⣀⣤⠤⠤⠤⢄⣠⠞⣁⠀⢸⠀⣿⡀⠀⣻⠀⠀⠀⣿⣷⠀⠀⠀⠀ ⠉⠀⠀⠈⣿⣿⣿⣷⣿⣿⠟⠉⠉⢿⡛⠻⠿⠿⣟⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⡿⣷⠖⠻⠟⠛⠟⢋⡵⢋⡘⡳⢸⣴⣟⡇⠀⡟⠀⠀⠀⢸⣿⣇⠀⠀⠀ ⠀⠀⠀⢰⣿⡿⣿⣿⣿⡅⠀⠀⠀⠀⠙⠷⠴⠶⠋⠀⠀⠀⢘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣷⡶⢟⣠⠟⢃⡠⢂⡴⢋⣴⣯⠞⣡⣾⠏⢿⡇⢠⡇⠀⠀⠀⠀⡏⢻⡇⠀⠀ ⠀⠀⢰⠘⣿⠀⠘⢻⣿⣥⡀⠀⣀⣠⣤⣤⠤⢤⡤⠄⢀⡴⠋⠙⣆⠀⠀⠀⠀⠀⠀⠀⣠⢞⡵⡿⠋⣠⠞⠃⠀⢉⡴⠋⡰⢋⡼⣣⢞⡱⠋⠀⠈⢿⣼⠀⡄⠀⠀⠀⡇⠀⢿⣧⠀ ⠀⠀⢸⡀⢻⡆⡀⠀⢛⡯⢩⣿⠟⣉⡽⠃⣠⢞⡔⣠⢏⡤⠀⠀⠈⠂⠀⠀⠀⠀⢀⠜⠑⡋⠈⠀⠚⠁⠐⠀⣠⠞⠀⠘⣱⠛⠊⠡⡿⢰⠀⠀⠀⣰⡇⠀⡇⠀⠀⠀⡃⠀⠸⣇⣆ ⠀⠀⠘⣧⠸⣿⡇⠀⠩⢤⡾⢣⣤⡿⢥⡾⣡⢞⡴⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠈⠀⠀⠀⠀⠀⠀⠀⠘⠁⠤⣠⠞⠁⠀⠀⠐⠷⠟⠀⠀⣠⠏⠀⣰⡏⠀⠀⠀⠀⠀⠀⢻⡜ ⠀⠀⠀⣿⢰⡹⣿⡄⠀⡼⣵⣿⠋⣰⠟⡴⣫⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⣠⢾⡿⡇⠀⠀⠀⢀⠀⠀⢸⣿ ⡄⠀⠀⣿⣿⣷⣿⣧⠆⠀⡽⠃⡼⠃⢈⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠴⠲⢤⣤⣀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⣀⣴⣿⠵⠋⠁⣸⠡⡇⠀⠀⠀⠸⡀⠀⡸⢿ ⡇⠀⠀⢹⣿⣿⣟⠿⣶⡌⢠⡞⠁⠀⠞⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⣁⣠⣤⣤⣶⣶⣦⣌⢉⣷⣶⣶⣿⡿⠀⠀⠀⠀⠀⠰⠖⠛⠋⠉⠀⠀⠀⠰⢿⠀⡇⠀⠀⠀⠀⠁⠐⠁⠀ ⣿⡀⠀⠀⢿⣻⣿⣇⠈⠙⠿⢤⣤⡄⠀⠀⠀⠀⠀⣶⣄⣠⣾⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⣧⠀⠀⠀⡀⠀⠇⠀⠀ ⠈⣷⡀⠀⠈⢷⡻⣿⡆⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⣿⠀⠀⠀⡆⠀⠀⠄⠀ ⠀⣿⡿⣤⣀⠀⠻⣿⣿⣄⠀⠀⠀⣄⠾⡄⠀⠀⠀⠀⠀⠹⣿⣿⡿⠋⠈⠻⣿⣿⣿⠟⠉⠀⠀⠈⢿⡿⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠀⠀⠀⡇⠀⠀⠀⡀ ⣠⣿⡇⠀⠈⠓⢦⣀⡙⠻⣆⣀⠀⠙⢛⣣⡄⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⢻⡿⠁⠀⠀⠀⠀⠰⢿⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⠆⠀⠀⣠⣾⣿⣿⣿⡿⣿⡇⠀⠀⣇⠀⠀⠀⢳ ⣥⣿⠁⠀⠀⣠⣿⣿⣿⣶⣶⣿⣟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⣾⡇⠀⠀⠀⢀⢈⣷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡇⠈⣿⠀⣤⣿⡀⠀⠀⠀ ⣿⡁⠀⣠⡾⣿⣿⣿⣿⡿⣿⣻⡏⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⡟⠀⠀⠀⠀⠎⠉⡼⠻⡄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣹⣷⣶⠈⢣⣿⡾⢱⣦⡀⠀ ⠈⠙⠛⢿⣿⣶⣷⣶⣶⣶⣄⣽⣿⠀⠀⣿⣷⣤⡀⠀⠀⠀⠀⣷⠀⠀⠀⢠⣯⠀⠀⠀⠀⠀⣼⠳⣶⠟⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣀⣽⣿⣿⣿⣿⣿⠀⡾⣿⣷⣌⠻⣿⣦ ⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⠏⠀⣴⡿⣿⣿⣿⣶⣄⡀⠀⠹⡄⠀⠀⠀⠉⠀⠀⢀⣤⠞⠁⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⣿⣿⠏⣻⣆⠈⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣧⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣳⠀⠀⠀⠀⠀⣴⡏⠀⠀⠀⠀⠀⢀⣠⣴⣿⠿⠿⢿⣿⣿⣿⡿⠿⠟⠛⠉⠉⠁⠀⠀⢠⣿⣿⣿⠆⠉⠿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢯⡛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡠⠀⠀⣸⡟⠀⠀⠀⢀⣠⡴⢟⣉⣤⡤⠶⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡁⠄⠁⠄⠙⢷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠉⠛⠛⠉⠙⠛⠋⠉⠳⣌⠉⠘⣧⣤⣶⡿⣛⣿⡾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡏⠁⠄⠁⠄⠀⠄ ⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢑⣶⣄⠀⣀⢀⠀⠀⠀⠀⠀⢙⡇⠀⣿⢋⡉⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠄⠀⠀⠀⠄⠀⠄

🧸⃤♡₊˚ 🦢・₊✧

🤍 🫶🏻 😘˘͈ᵕ˘͈

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

POV: me going to write thorny in search for emoijs so i can see the drama

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠿⠖⠢⢤⣄⣤⡴⢬⣭⣭⣖⣢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡐⠉⠀⠀⣠⣴⣾⠛⣭⡖⣖⣷⣼⠟⢿⣿⣷⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⣸⣿⣽⣿⣾⡦⢿⣍⢿⣷⡀⢿⡿⣿⢿⣷⣄⠀⠀⠀⠀⢀⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⠀⠸⡄⠘⡄⣯⣽⣿⣿⠿⣿⣾⣹⣿⣿⠷⣤⣿⡞⣯⢸⣿⡳⢤⡴⠚⠁⠀⠀⠀⢀⡰⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠱⡀⢹⣿⣿⣿⡟⠒⠸⢿⣾⣿⣾⠃⢀⢿⣿⣿⣼⣿⣿⡞⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⡀⢣⣼⣿⣯⠈⠀⣀⡀⢸⣿⣿⣿⠀⢸⣺⣿⣿⣯⣿⡿⣿⡀⠀⣀⢴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠤⣄⣹⢷⡾⣿⣿⠿⠂⠉⠁⠀⢸⣿⣿⣿⣞⣿⣿⣿⣷⣿⣿⣇⡇⡏⠉⣠⡟⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡏⣇⠻⣿⣆⣀⠀⠀⠀⠘⠋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢹⣾⠽⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠁⠻⣟⠁⠀⠀⣀⡼⣿⣿⣿⠏⣿⣿⣿⣿⠿⡾⣻⠹⠉⢱⢾⠿⠝⠛⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⢠⠆⠀⠀⠉⠉⠉⠀⠻⠋⠱⠋⠀⢻⡋⠚⠙⠚⠓⠓⠀⠀⠈⣸⠗⠦⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠒⠠⠤⠤⠤⠤⠤⣤⣽⠼⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⡉⠉⠙⠯⣹⢀⠀⠈⡇⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣗⠲⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⣹⢸⠀⣸⠁⠀⠀⠀⠰⠋⠀⠀⠀⣀⠀⢰⠀⠀⠀⠀⣠⠇⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⠤⣄⣈⠻⣿⡏⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠈⠓⡄⠀⠀⡏⢠⣿⠉⠉⠉⠑⠒⠢⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠙⠻⣿⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠁⠀⢰⢃⣸⠋⠒⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠖⢶⡇⠀⠀⣧⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⡀⠀⢀⡞⣸⣟⡀⠀⠀⠀⠈⠓⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠠⠤⠤⠤⢼⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠸⠀⢀⡾⢡⢃⠏⠀⠀⣱⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢢⡀⠀⠠⡖⠊⠉⠀⠀⠀⠀⠀⠀⣰⢧⠀⢀⢏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢠⠏⣸⠒⠒⠤⠤⠄⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⠿⠦⠽⠋⠀⠀⠀⢀⣠⠴⠚⢁⣊⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠉⡴⠛⠢⠤⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠤⠤⠒⣒⣉⣁⣀⣀⣴⠟⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡙⡿⣍⡑⠢⣀⠀⠀⠈⠑⠢⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡤⠔⠚⠉⠁⠀⠀⢀⣠⣞⠵⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠉⠒⢌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣏⠓⢢⡀⠀⠀⢀⠴⣫⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⣖⣾⣶⣤⣀⠉⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⣄⢧⣠⠔⢁⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡕⠛⠾⢽⣦⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠼⠛⠁⠀⡾⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠙⢧⠀⠈⢢⡀⠀⠀⠀⠀⠀ ⠀⠀⣰⠃⢠⡞⢁⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡀⠀⠈⢣⡀⠀⠳⡀⠀⠀⢀⣤ ⠀⡼⠁⣠⡟⢀⡾⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢸⣿⣦⡀⠀⠀⠑⣄⠀⣱⣴⣾⣿⣿ ⠞⠀⠀⠉⢠⠎⡇⡇⣏⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⣆⢸⢧⠉⠳⣷⣄⠀⠘⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢠⣏⣠⣿⢿⣾⣌⢦⡀⠀⠀⠀⠀⡀⠀⠀⠀⡼⠛⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠈⡠⡜⢿⡆⠀⢸⡾⢣⠀⠈⢻⣿⣿⣿⣿ ⠀⠀⠀⡿⠟⠀⠀⠀⠈⠻⣧⣝⠀⠀⠀⠀⠈⠉⠀⣯⡼⣽⡄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣼⣽⡮⠷⠤⣼⣽⡉⠃⠀⠀⠹⣿⣿⣿ ⠀⠀⠀⠃⠀⠀⠀⠀⠈⠳⣽⣦⡙⠒⠤⠤⠤⣤⣴⡟⡇⠀⣿⣮⢆⡀⠀⠀⠀⠀⠀⠀⢀⡴⣿⡿⠋⠀⠀⠀⠈⢿⡇⠀⠀⠀⠀⠙⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⡲⢄⣀⢠⣿⣿⠿⠦⠤⢽⣷⣀⠉⠓⠒⢦⠤⠖⠊⡡⠞⠛⠀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠀⠀⠀⠘⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⡛⣛⡛⠋⠒⠀⠀⠀⠀⠀⠀⠉⠛⠶⠤⡼⠗⠚⢛⢛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠈

⠀⠀⠀⠀⠀⣸⢸⢸⢸⡏⠂⠀⣾⠥⡇⠥⡄⣹⠀⠀⢸⣿⡤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⢸⢸⠔⡇⣾⡄⣿⢀⠀⠀⠑⢾⠀⢀⢸⡿⢡⢁⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠈⡼⣇⠇⡿⠯⡟⠂⢴⣶⣶⡷⡄⠸⣸⡇⡏⡾⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⢵⢣⢳⣞⣶⣿⢠⡏⠂⠘⠛⢉⢱⠀⣧⡏⡇⡗⣷⡆⠀⠀⠀ ⠀⠀⠀⠀⡈⣸⢣⢆⣫⠛⠋⠀⠀⠀⠀⠀⢸⡆⣼⢁⣇⡇⡇⡁⡇⠀⠀⠀ ⠀⠀⠀⠀⡇⡏⡎⣌⣎⡳⠄⠀⠀⠀⠀⠠⢻⣶⣿⣾⢸⢰⡁⡇⡟⠀⠀⠀ ⠀⠀⠀⠀⠇⣧⣿⣿⣼⣿⣦⣄⡀⠀⢀⢔⠟⣿⣻⡇⢸⡾⣇⠁⡇⠀⠀⠀ ⠀⠀⠀⠀⢀⢸⣿⢹⣿⣿⣿⣿⠈⠉⠀⠁⠀⢷⡟⠃⣾⢳⡟⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⢘⠸⠿⠻⠿⠛⠋⠁⠀⠁⠀⠁⠔⢀⠉⠓⠛⠛⠧⣰⠇⠀⠀⠀ ⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠉⠁⠢⠤⠊⠁⠀⠀⠀⠀⠀⠀⠈⠉⢆⠀⠀ ⠀⠀⠈⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⢸⠀⠀ ⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣸⠀⠀ ⠀⡐⠁⡠⠔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀ ⢰⠀⡌⢤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠈⠄ ⢸⠀⠃⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠸⡀⠘ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⢆⠀⠀⠀⠀⠀⠀⠀⠁⠁⢸⠃⢰ ⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⡠⢼⠋⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠒⠁⢠⠂ ⠀⠀⠋⠑⢶⢠⠤⠀⢒⠨⠒⠁⠀⠀⠀⠀⠐⢕⠤⣀⠀⠀⠀⠀⣀⢴⠁⠀ ⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢹⠩⠋⠀⠈⡄⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢸⠇⢸⠀⡿⡟⡷⡇⠀⢠⣾⣉⣅⣿⣈⣧⡀⠀⢹⡇⠀⠀⠀⢸⣿⣿⣆⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⢸⠀⣼⠀⢿⡇⡇⣧⠀⠸⣿⡍⢩⢿⠈⠉⢻⡝⢻⡇⠀⠀⠀⢸⣿⣿⣿⡜⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⢸⡄⣿⡴⢿⡇⣷⣿⣦⠀⢿⡇⣸⠀⠀⠀⠀⠙⣾⡇⠀⠀⢰⢸⣿⡿⡇⣧⢹⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⢫⠘⡇⣿⡇⢸⡧⢹⣿⣯⢊⣿⣇⠋⢀⣀⣀⣀⣀⣺⡁⠀⠀⣼⢸⣿⡇⢷⢸⡎⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⠘⡆⢿⢯⣷⡌⠛⢸⡏⢿⠳⣇⠉⠐⠋⣿⣿⣿⣿⣯⢻⡇⢀⡟⣼⡇⡇⢸⢸⣷⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣹⣆⣧⠸⣧⣼⢿⣿⣿⣯⠈⣰⡏⠳⠄⠠⠿⠿⠟⠚⡅⣾⠀⣸⣇⣿⢻⡇⢸⢸⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠸⡏⡜⡆⠹⡟⢾⣿⠿⡯⠀⢻⠁⠀⠀⠀⠀⠀⢀⣼⢱⠇⢀⣿⠙⣿⢸⡇⣾⢸⡿⢿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡇⡜⣷⢻⠹⡄⡹⡄⠑⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⣼⡏⢀⡿⣸⡇⣿⢸⣧⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⡇⢻⡘⣇⠹⣎⠻⣲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⣇⣾⣿⣧⣿⠁⣿⢠⡟⠸⡿⠈⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⡇⢸⣧⢿⣶⠿⣦⢮⠉⠃⠀⠀⠀⠀⠀⠀⠀⠘⢁⣾⣿⣿⣿⣿⡟⠀⣿⢸⣷⢰⡇⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⣿⡌⣿⣿⣿⣥⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⢀⡴⣿⡟⣿⡿⣿⣿⠃⢰⣿⣿⣹⢸⡇⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡇⢻⣷⣿⠿⣿⣿⣾⣿⣿⣿⣿⣿⠲⣤⡤⠞⠉⠞⠉⠰⣿⣣⣿⣿⠀⢸⣿⡏⣿⣸⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⢸⣿⣿⠀⣹⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⠘⠀⣿⣿⢹⣿⡏⠀⢰⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⠸⣿⣿⣼⣿⣿⣿⣿⡿⠿⠋⠀⠀⠙⠒⠒⠒⠛⢀⡴⠀⠈⠛⠷⣦⣿⣯⣿⣿⠃⠀⣼⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠜⠃⠉⠉⠁⠉⠉⠁⠀⠀⠀⣀⣀⡐⡄⠀⠀⠀⢠⣏⡤⠴⠖⠂⠀⠀⠀⠀⠀⠈⠈⠳⣻⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢤⣤⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⡄⠀⠀⠀⠀ ⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⡀⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⣀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣼⠀⠀⠀⠀ ⠀⢀⠞⠀⠀⣠⠶⠚⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀ ⢀⡟⠀⢠⠞⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⢸⠀⠀⡿⠀⠷⠃⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⢤⡀⠀⠈⢧⠀ ⢸⠀⠀⠛⠀⠀⠀⠀⠘⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⢹⡄⠀⢸⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢡⡀⠀⢠⡇⠀⢈⡇ ⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⢸⠃ ⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠁⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡤⠚⠁⠀⢀⡞⠀ ⠀⠀⠀⡷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⣡⠟⠀⠀⠀⠀⠀⠀⠙⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀ ⠀⠀⠀⠃⠀⠙⢷⡶⠤⣤⢤⠤⠴⠖⠋⣩⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠳⣌⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢴⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣦⣿⠀⠀⠀⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠈⠉⠓⠲⢶⡶⠶⣶⠞⠋⠁⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⠀⣸⡁⡼⠁⠀⠀⠀⠈⡧⠀⠀⠀

🖕🏻🍑𓂸(‿ˠ‿)( Y )🍑👙🍑❤️‍🔥👅

⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠟⢉⣕⡞⣼⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣳⡀⢻⣤⣴⣴⣶⣶⣶⣿⣿⣷⣤⣼⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣼⢧⣿⣦⠬⡜⣼⡝⣿⢹⣿⣿⡟⣁⡀⣴⣿⡟⣹⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣗⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢰⣿⢀⣿⢀⠨⢳⣷⢴⣧⣸⣟⡟⠉⢁⡾⠋⣀⡴⢃⡠⣠⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⠋⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣾⣧⢸⣻⠀⢩⡏⠀⣸⣯⣿⡿⠒⣲⠟⠘⣩⠿⣠⠏⣴⣿⢯⣟⣹⣄⡿⣿⣿⣿⠏⣿⣿⣿⣧⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠘⢸⡇⣰⣿⠏⣿⣀⡼⠧⢶⣶⣳⡞⢳⠞⣿⣣⠏⠀⢠⣞⣀⣸⣿⣿⠀⢻⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡦⣿⣷⣿⢹⠀⣯⣞⣧⣔⣯⣿⣯⡾⢃⣾⠟⠁⢀⣴⡟⢀⣼⡟⣾⡿⣐⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣸⣿⣧⢹⣾⣴⣿⠋⡇⢸⣸⣿⣿⣿⣿⣿⣿⣯⣶⠟⠋⢀⣴⣫⢏⣴⠟⣽⣿⡟⠀⠈⢹⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢳⠇⣿⣿⣿⣿⢹⡀⠃⢸⡜⣿⢹⣿⣷⣿⣿⡿⣷⠶⠚⠛⢛⡿⠋⣠⣾⣿⣿⣤⣦⣀⢸⡟⣠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢠⡞⣸⢻⣿⣿⣿⣾⣗⠄⠘⡇⣿⠚⠻⠿⠯⠿⠅⠀⠠⢄⠍⢨⡙⠊⠑⣿⣿⣯⣿⡿⠻⣿⢡⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣾⢣⡟⢸⠀⣿⣿⣷⣿⣦⠀⣷⣹⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠛⠿⠿⡿⣁⣼⣿⡟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢠⣇⣼⣿⣾⠀⣿⣿⣮⡛⢿⣧⣽⡿⣿⣷⡤⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠶⠆⣰⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⡼⣼⣿⡏⡟⣼⣿⣿⣿⡻⣿⠃⣸⡟⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢰⢳⢻⡿⣠⡷⣿⣿⣿⣿⡏⢻⣴⠏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣼⣿⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⡞⡞⣼⣷⢻⡇⣸⣿⣿⣿⡿⡟⠅⣴⣿⡟⢤⣀⠀⠀⠀⠀⠈⢿⡟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢠⢻⢁⡿⠇⣸⠇⣿⣿⣿⣿⣇⣿⠞⣡⣿⣧⣤⣽⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⡞⣸⠃⢀⣿⢀⣿⣿⣿⣿⣿⢥⣾⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠒⠺⠷⣏⡀⣼⡿⢸⣿⣿⣿⣏⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣯⠀⠀⠀⠀⣀⠀⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠻⣿⣿ ⠀⠀⠀⠀⠈⠙⠳⢿⣿⣿⡟⢉⣰⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢿⣿⣿⣷⣤⠖⠛⠉⠉⠀⠀⢸⡏⠁⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠤⢄⣀⠀⣨⡿⠟⢋⣿⡿⢯⣶⣝⣛⣛⣿⠿⢿⣿⢥⣠⠼⠻⣿⣟⣿⣿⣿⢿⣿⣿⡋⢤⡀⠀⠻⣌⣉⣻⣦⣀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⢀⣼⡟⠛⣛⣿⡿⠀⠉⢛⣻⣿⠿⠋⠀⢸⢹⠀⠀⠀⠀⠘⣾⣦⠉⠛⠷⢿⣿⣻⣦⡌⠢⡀⠘⣧⣙⡛⣿⣗⡚⠉⠉⠉⡇⠀⠀⢀⣀⣀⣠⣴⣿⣿ ⠀⠀⠀⢀⡤⡶⣿⠋⣽⠛⣿⡿⢁⣤⢶⡋⠉⠁⠀⠀⠀⢸⠾⠆⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠙⠛⣿⣦⡙⣏⠁⠈⣯⣙⠛⢿⣆⠀⣼⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢠⡟⢸⣷⣿⠉⡇⢀⣯⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠻⢿⣟⢧⡤⠶⠛⠋⠉⠻⣿⣽⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣶⣿⣧⣿⢃⠏⠀⡇⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⣀⠀⠀⠀⢻⡝⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣟⢿⣯⣎⠤⠔⡇⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢴⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⡄⢿⠦⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⡉⢿⣻⡄⢻⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣾⣇⠀⠋⡏⠀⠀⠀⠀⣀⡤⠴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣭⣻⣎⠀⠹⣵⡟⠙⠛⢿⣿⣿⣿⣿ ⣴⣿⣿⣿⣻⣿⣆⢰⠁⠀⠀⠀⠘⠁⣶⠿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠋⠀⠀⢻⣠⣴⠀⣼⡟⠛⠛⠛ ⣿⣟⠙⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠙⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣾⣿⠁⠀⠀⠀ ⡏⠁⠀⠘⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀ ⣄⠀⢀⡀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣷⣤⣀⠀⠀⠀ ⣿⣷⣌⢿⣷⣍⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠈⠊⣙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡟⣎⣻⣼⣷⡆⠀ ⣿⣿⣿⣷⣽⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠊⠉⠛⠷⢶⣤⣄⠀⠀⠀⢀⣠⣼⣿⣿⣿⣿⣷⣿⣿⡿⠿⠃⠀ ⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡦⢶⣄⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⢿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠙⣄⠀⠀ ⣸⣷⣿⣿⣿⢿⣿⣿⣿⣿⣿⡄⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀ ⠿⠿⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳ ⠀⠀⠀⠁⠚⠉⠛⠙⠛⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢹⡟⣿⣿⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⢹⣏⠀⠉⠓⠤⣄⣀⡠⠖⠋⢳⣀⣀⣀⣀⣀⣀⣾⣐⣈⣦⣀⣀⡤⠤⠖⠒⠒⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢸⠇⠸⣿⡄⡇⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠷⠶⠾⡊⠦⣄⣀⡤⠖⠉⠀⣀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⢧⠟⠀⠀⠙⢧⡵⠀⢀⣀⠠⠤⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠢⣤⣤⡴⠛⠉⠙⡆⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠒⠚⠛⠛⠛⠛⠒⠒⠒⠒⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⠋⠀⢀⣴⡾⠃⢀⠇⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⣜⠁⢀⣼⠛⠛⠤⣰⣫⠖⠀⡄⢸⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠘⢄⢸⢑⡷⢿⡿⢶⣄⠀⢈⠳⡄⣴⡧⢸⡏⠉⠳⡖⠲⠤⠤⢤⣄⣀⣠⡤⠴⠚⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠖⣚⣿⠀⠀⢄⡀⠙⠲⣍⣠⠋⠐⣠⣾⣿⢧⣴⣣⠏⣰⡿⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠴⠒⠉⠁⠀⠀⠀⠀⠀⠈⢷⡀⠐⠭⣗⡀⡴⢁⢀⣼⣿⠂⠉⠢⣴⣁⡾⠋⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠑⠦⢄⣀⠀⠀⠀⠀⠀⢀⣠⡤⢒⠯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠦⢄⡀⠙⠧⣴⡋⣠⠟⠒⣤⣠⢀⠝⣄⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠉⠉⠉⠉⢉⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣜⡽⠡⣤⣼⡯⣍⡉⢲⠊⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡰⠟⠋⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⢀⡇⡀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⣤⢞⡞⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡉⡏⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡍⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀

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Part 2 of the pussy check! enjoy:D (CLICK ON FIRST TAG TO READ PART1!) ___________________________________________________________________________ You came for your second checkup to the best sexual doctor, the one who has previously fingered you. He smiled ad you entered the room in your tight sexy dress. You sat down on his lap as he kissed your check. "I want to make you a personalised vibrator, so I need some samples." he said staring deep into your eyes. You undressed yourself and sat on the machine like before. "first, I'll need some of your juice." he said, running his cold fingers down down your pussy. he spread your legs wide, and secured them with the machine. you quietly moaned as he tickled your clit. He then started pressing the middle of your pussy, first slow, then hard and fast.. "It's coming.." you informed him. he speedily put a cup up to your pussy, pushing it in hard. the cup started filling up with thick hot liquid, yout cum. you moaned, grasping the sides of the bed. you were still cumming when the cup was full, so doc pushed his finger in to plug it. you screamed in pleasure, squirming. your pussy started feeling like it's gonna pop, it hurt.. "My pussy hurts, it's gonna pop!" you said loudly. Doc pulled his finger out, making a stream of cum shoot straight back at him. his face was covered in cum, but he just licked it all up. your pussy feels really sore, it hurt a lot. "It's really sore, I'm gonna faint.." you said. "I'm gonna massage it for you, alr?" he said, getting his gloves on. you nodded as he started touching your pussy from all directions, hitting all those sweet spots. ahh~ my clit~~ "that better?" doc asked, parting his hands from your sexy pussy. "Yes daddy~" you said hesitantly. Now I need some of your shit, flip please." he said, looking for smth in his drawer. you obeyed, turning your ass up. Doc smacked your ass a few times, loosing it up a bit. it's gonna hurt a lot, so I'm gonna give you a pain easer. he pulled out a machine and clipped it on your plump ass. he turned it on and it started freezing your ass, making it numb. "It's so cold..." you mumbled. "opposite of you, bbg." said doc running his sexy hands down your body. He took off the machine. "ready?" "I think.." he shoved a cotton swab up your ass and started spinning it around. "AHHH~ MY ASS~~" You moaned and screamed in pleasure. he finnaly pulled it out, making you moan in relief. " That's gonna be my dick soon.." he said, squeezing your ass as you squirmed. "We need one more thing... nipple juice" he said as he guided you to a new machine. it made your boob's stick up, showing them off. "God, your tits are huge.." said doc, squeezing them. he started by jiggling them to turn himself on. He started rubbing as pressing your nipples, making you squirm slightly. he then started sucking them, making your milk spill. "AHHH~ SUCK HARDER DADDY~~" You moaned. he collected the milk speedily, until the cup was all full. " That's all, we have some time to ourself.. " with that he undressed himself and you jumped on him, bouncing his dick of your plump pussy. You started cumming out of excitement, so he quickly started sucking your pussy. he explored the inside of it with his cold wet tongue... he eventually started cumming too, so you moved into the 69 position. you were deep trouthimg his dick, muffling your moans. You eventually spit his dick out, panting. "what about I'll fuck your ass?" Said doc, his mouth wet with cum. he sat on the couch and started rubbing the tip of his dick and stroking it, while you kissed him on the check endlessly. suddenly, he pulled you onto him and stuck his dick in you huge tight ass. "FUCK~" you screamed and moaned in both pain and pleasure. Your ass started getting sore so you pulled away and threw your self on him, exploring each other's mouths. suddenly he grabbed his 7inch dick and slipped it inside your pussy. "FUUUUUUCK~ AHH~" you screamed in pleasure. he grassped you boob's and started squeezing them, turning you on more. your pussy started leaking so doc pulled his dick our, spilling everything. Ahhh~ daddy~~ "ill get us cleaned up." said doc, brushing his body againt yours. _________________________________________________ __________________________________________________________________________________________________ hope you enjoyed! there might be a part 3, but right now I need to focus on the kidnapper smut. click first tag for more like this, bye! "I think I love you sir.." "I love you too" {(ᶅ͒)} Ɑ͞ ͞ ͞ ͞ ﻝﮞ Daddy~8=✊= D💦🍆🍑😫👉👌

ಇ.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣯⣿⢣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢶⡀⡀⠀⠀⠀⠀⠀⠀⣰⣿⣃⣛⡗⣼⢹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢷⣬⣷⣤⣤⣴⣢⣶⣿⣿⣿⢿⣗⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣿⠿⣿⣿⣷⠿⡿⣿⣷⣿⣿⣿⡟⠻⣿⡧⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣹⣿⡿⡿⡀⣧⣼⣟⠉⠙⢾⣷⣣⢘⣿⣿⡿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣿⣿⣷⣧⣳⢿⣏⠁⣿⡿⠀⣿⣿⣿⣯⣿⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣿⣿⣿⣿⠟⣻⠖⠋⠀⠀⠉⣿⣿⣟⣽⢿⣿⣟⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⢯⣷⣿⠀⠀⠐⠀⢀⣬⣶⣿⣬⣽⣿⣍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣏⡀⠀⣠⠖⠛⠉⠛⠹⠋⠙⠛⠉⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⣹⠟⠁⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠐⢮⡢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡸⠥⠀⠀⠀⢀⣇⠀⢀⠀⢀⣀⠤⠆⠤⢄⣙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣷⡆⠈⠢⣀⠀⣿⣠⠎⠀⣩⣤⠤⠖⠒⠒⠚⠧⠼⣦⣀⣠⠤⠤⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠀⠘⠷⢿⣻⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠉⠙⠲⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⠀⡀⢠⠜⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⢦⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⡽⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠃⣰⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠔⠚⠉⢻⣞⡹⠛⠳⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡤⠤⠤⠤⣄⡀⡀⢀⣴⣁⣀⠀⠀⠀⠀⠀⠀⣀⡠⠔⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠲⠭⡛⣹⣯⠝⠛⠉⠉⠉⢷⣶⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⢹⣿⢿⠀⠀⠀⠀⠀⠀⠉⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⠤⠤⠤⣀⡀⠀⠀⡸⠻⣇⠱⣄⣤⠴⠛⠉⠉⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟⠀⠀⠀⠀⠀⠙⢦⡴⠃⠀⠘⢦⡞⠁⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⣺⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠖⢺⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⣤⠟⢳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢳⡀⡠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣠⠞⢙⣣⣼⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠉⠙⢓⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠟⠋⠁⣠⣿⣿⡒⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡟⠤⠤⠞⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢒⡒⢚⣛⠋⠀⢿⠿⠃⠀⠀⠀⠀⠀⠀

⠀⠀⢀⣤⡞⠉⢀⣨⡿⠦⠖⠢⣼⣟⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⠤⠤⠤⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠋⠁⠉⡿⠋⠁⠀⠀⠀⠀⣸⣏⣀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⢿⡁⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠁⠀⢠⡞⠁⠀⠀⠀⠀⣠⠎⠀⠈⣻⠋⠀⠀⠀⣀⡴⠖⢋⡿⢋⡽⠋⠳⣶⣿⣉⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⣠⠄⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠋⠉⣿⠀⠀⠀⠀⠀⣰⣧⣀⢠⠞⠁⣠⠴⠒⠙⠿⠴⡾⠋⡴⠋⠀⣠⠞⠁⠀⢸⣧⣀⣠⣈⣧⡀⠀⡀⣀⡼⠃⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡄⠀⢻⡄⠀⠀⠀⠀⡏⠀⣽⡏⡰⠋⠀⠀⠀⠀⠀⢠⠇⡞⠀⢠⡞⠁⢀⡤⢶⡋⠹⡍⠉⠉⠉⠉⠉⠉⢹⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⡶⠚⠛⢦⡀⠀⠀⡟⠓⠛⡾⠁⠀⠀⠀⠀⠀⠀⢸⣿⣆⣰⣿⡆⣠⠋⠳⣄⠙⢦⡙⣦⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠧⣄⠀⠀⠙⢄⢀⣸⣦⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠛⠛⠁⠀⠀⠘⢦⠀⠳⡬⠷⣄⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢈⣳⣤⠶⠺⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠹⡄⠈⠙⠦⣄⡀⠈⡆⠀⠀⠀⠀⢰⠉⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⡟⠋⠉⠉⠁⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⢹⡄⠀⠀⠀⠙⠶⣵⡀⠀⢀⡠⠃⠀⠘⣇⠀⠀⣀⣀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣅⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⢳⡀⠀⠀⠀⠀⠈⢻⡉⠉⠀⠀⠀⠀⠸⣶⣿⣭⡉⠉⢛⣽⡷⣦⡀⠀⠀⠀⠀⠀ ⡖⠈⠹⣗⡒⠒⣛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠘⡇⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⢀⡇⠁⢈⣽⠞⠋⠁⠁⢀⣽⡄⠀⠀⠀⠀ ⠙⢆⡀⠀⢀⣸⠟⠃⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⢹⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⣠⣾⣃⠀⠘⢷⡄⢀⣤⢞⣯⠿⠟⢦⠀⠀⠀ ⡆⠀⠉⠉⢩⣿⡦⠀⠀⠀⠀⠀⠀⢤⠀⠀⠹⡄⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢸⠀⠀⠀⠀⠀⣿⠒⠒⠒⣶⠞⠋⠉⠉⠛⢶⣄⡙⢻⡿⠋⠁⠀⠀⣨⣇⠀⠀ ⢻⠀⢠⡄⠐⠛⠉⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠹⣄⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠻⣤⣴⣛⠁⠀⠀⢀⣠⠼⢶⣻⣷⣾⣿⡄⣠⡴⠟⣙⣿⡀⠀ ⠀⢣⣌⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢶⡬⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⢻⣿⡿⠷⢠⣖⡋⣸⣾⣿⣿⣿⣿⡏⠋⢹⡇⠐⢻⣿⡇⠀ ⠀⠀⠙⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣾⢿⣇⠀ ⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⢸⠀⠀⠀⠀⠀⠀⣼⣾⣷⡀⠀⠀⠀⣀⣤⡽⠿⠻⠁⣿⠀⠀⠀⠀⣿⠘⡟⡀ ⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⡼⠀⠀⠀⠀⢀⣴⣿⡙⣿⣿⡄⠀⣼⣿⢿⣤⣤⣴⣶⣿⡄⠀⠀⣰⠏⠀⠇⠅ ⠀⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⢠⡗⢦⣠⠤⠒⠻⣿⣿⣿⣿⣟⣿⡾⠿⣿⣄⠀⠀⠉⢤⣼⡇⠀⣠⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⣺⠇⠀⠀⠀⠀⠀⠈⢛⣿⣿⢿⣿⣄⣀⣿⣿⡏⠁⠀⠘⣹⣇⣴⣿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣀⡀⠀⠀⠀⠀⠀⠀⢀⡗⠘⣆⠦⠀⣠⠶⠚⠉⠑⠦⣄⠀⣿⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣤⣀⡀⠉⢹⣿⣷⣦⣤⣾⣿⡿⠛⠙⢿⣦⡀⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠶⣄⠀⡤⠖⠋⠀⢦⡜⡆⠈⠀⠀⠀⠀⠀⠀⠘⢷⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⣿⡟⠛⠋⠉⣿⣷⠀⠀⠀⠙⢿⣷⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡞⠁⠀⠀⠀⠀⠙⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣼⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣉⣙⡒⠒⠶⠦⠤⠤⣰⣷⠀⠀⣀⣀⡀⠀⠀⠀⠀⢀⣀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠑⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⢶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢴⣿⢿⣻⢿⣿⣿⡟⠛⢻⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⡷⢿⡷⣿⣿⣿⣷⠀⠈⣷⣿⣿⣿⣝⠂⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⠛⣿⢷⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⣶⣾⡯⠷⠶⠻⣇⣿⣿⣯⡿⠇⠀⠀⠘⠛⢻⣿⣦⣬⣦⡴⠞⠋⠛⠻⠷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⡟⣿⠿⣾⣏⣸⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⢦⣤⣤⣾⣿⣿⡿⠛⠇⣀⣀⣀⣠⠾⠋⠋⠏⠙⠷⡤⢤⡀⠀⠀⠀⢻⠀⢀⡤⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⡿⠋⠀⠘⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡇⣹⣿⡿⣿⣿⣄⡨⣭⡿⠁⠀⠀⠀⠀⠀⠀⡇⠀⠉⠳⠒⠶⢿⣴⠋⠀⠀⠀⠙⢷⣤⡀⠀⠀⢠⠞⠁⣿⠛⣇⣀⡦⣆⣸⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⢣⣿⣿⣿⠟⠉⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⣼⠁⠠⠀⠀⠀⠀⢸⠏⡇⠀⠀⠀⠀⠀⠀⠙⠲⢴⠁⠀⠀⢻⠀⢉⡿⠀⢘⡏⢺⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣠⣴⣫⣾⢧⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⡞⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⣸⡇⠘⠁⠀⢸⡇⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠛⣳⣿⢿⣷⠛⠁⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠈⢷⣀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠈⣹⠁⠀⠀⠀⢸⠁⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠺⣿⣰⠟⠁⠀⠀⠀⠀⢀⡴⢠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠉⠳⠦⠤⣤⣤⣬⣽⣶⣄⠀⠁⠀⠀⠀⠀⣸⠀⢹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢈⡿⠛⠒⠒⠦⢤⣀⣴⡚⠛⠛⠛⠿⢷⣦⣤⣤⣶⣦⣤⣄⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣗⣹⣌⣇⠈⢷⡀⠀⠀⠀⢀⡏⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡟⠀⠀⠀⠀⠀⠀⡀⠈⠉⠙⠲⢤⣄⣀⠸⢿⣀⠀⠀⣿⢿⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣁⣿⡾⠀⠀⠙⠶⣤⣤⡞⠁⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣧⢀⡀⠀⢀⢀⣼⣽⣦⣀⡴⠺⡏⢻⡙⣷⣶⣦⠀⠀⠈⢹⡇⠀⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠈⠳⢤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠛⠛⠓⠋⠁⠀⠈⠉⢻⡀⠹⣜⡍⢻⠉⣿⡷⠀⠀⠀⢷⣀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡞⠈⠀⠀⠀⣠⠞⠹⣅⣀⡀⠀⠀⠀⣀⠀⠈⠙⢶⣶⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡖⣸⢧⣼⢷⠛⠇⠀⠀⠀⠈⢿⠀⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⠒⠒⠶⣞⣉⠀⠀⠀⠈⠙⠲⣄⡀⠈⠓⠤⣄⠐⣦⣟⢻⣧⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣧⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠘⢿⠦⣠⣀⠚⣯⡟⢹⣿⠻⢟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⣀⣀⣀⣀⣠⠴⠋⠈⠹⣷⡀⠀⠀⠀⠀⠀⠈⢻⡀⠀⠀⠀⠈⠑⠚⠻⣦⣿⡿⠚⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⢧⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠈⠛⢦⣄⡀⠀⣠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠐⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣀⠀⠀⠀⠉⢉⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠉⠙⠒⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣦⣀⣀⢀⣀⣀⣀⡤⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠀⠤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢂⣤⣴⠖⠉⠉⠲⣶⣤⠀⠀⢀⠐⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣢⡤⢇⣾⣏⣿⠀⢠⠀⠄⣿⣿⣿⡄⠘⠃⠀⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⢡⣀⠉⠀⠚⣿⣿⣿⣴⣿⢸⣿⣿⣿⡿⠀⠖⠀⡔⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠏⠀⠀⣨⠃⣿⣿⣿⣿⣾⣹⣿⣿⠃⣄⣴⡞⠑⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣈⣬⣤⣴⣶⣾⣿⣿⣯⣽⣿⣿⣷⣧⡎⠈⣿⠐⠐⠇⢴⠖ ⠀⠀⠀⠀⢀⠴⠋⠁⠀⠀⠀⠈⢙⠉⡹⠋⠉⠀⠀⠉⠙⠻⣦⡃⠒⣲⢀⠿⠄ ⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⡀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣾⠀⠀⠀ ⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢦⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀ ⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀ ⠀⠀⠈⣷⣦⣀⣀⣀⠀⣀⣠⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣿⣿⣿⡽⢿⣿⣿⡟⠹⣿⣷⣦⣤⣤⣤⣤⣶⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣽⣿⣿⢿⡟⣿⡟⠡⣄⣽⣉⣻⣿⣟⣟⢟⡿⡭⣤⠀⠀⠀⠀⠀

⠀⠀⠀⠀⣀⢀⣠⣤⠴⠶⠚⠛⠉⣹⡇⠀⢸⠀⠀⠀⠀⠀⢰⣄⠀⠀⠀⠀⠈⢦⢰⠀⠀⠀⠀⠀⠈⢳⡀⠈⢧⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠀⡏⠀⢰⠃⠀⠀⠀⣿⡇⠀⢸⡀⠀⠀⠀⠀⢸⣸⡆⠀⠀⠀⠰⣌⣧⡆⠀⢷⡀⠀⠀⣄⢳⠀⠀⢣⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠘⠀⠀⠀⢀⣿⣇⠀⠸⡇⣆⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⢹⣾⡇⠀⢸⢣⠀⠀⠘⣿⣇⠀⠈⢧⠀⠀⠘⠀⢠⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⠀⡀⠀⠀⠀⢸⠈⢻⡄⠀⢷⣿⠀⠀⠀⠀⢹⡏⣇⠀⣀⣀⠀⣿⣧⠀⢸⠾⣇⣠⣄⣸⣿⡄⠀⠘⡆⠀⠀⠀⠀⠆⠀ ⠀⠀⠀⠀⠀⣾⢿⠀⠇⠀⠀⠀⢸⠀⠀⢳⡀⢸⣿⡆⠀⠀⠀⣬⣿⡿⠟⠋⠉⠙⠻⣽⣀⡏⠀⠙⠃⢹⡙⡿⣷⠀⠀⢹⠀⠀⠀⠀⠰⠒ ⠀⠀⠀⠀⢸⣿⣿⣇⢸⠀⠀⠀⢸⣦⣤⡀⣷⣸⡟⢧⣀⡴⠶⠿⠻⡄⣀⣤⣴⡾⠖⠚⠿⡀⠀⠀⠀⠈⣧⠁⠹⠆⠀⠀⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⢸⣀⣼⣿⣼⡆⠀⢀⡘⡇⠀⠀⠹⡟⢷⡜⢉⣠⣠⣠⣀⣤⡿⣛⣥⣶⣾⡿⠛⠿⠿⣶⣦⡤⢹⠀⢀⠀⠀⠀⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⢸⢸⡛⠁⠀⠙⢿⠋⠉⠉⠻⠀⠀⠀⢿⣄⠈⠁⠀⠀⠀⢉⢟⣴⡿⠿⠟⢁⠇⠀⠀⠀⠀⠹⣿⠻⡇⢸⠀⠀⠀⠈⣷⠀⠀⠀⠀ ⠀⣀⣀⣘⣿⡇⠀⢀⣠⣤⣶⣶⣶⣾⣦⡀⠀⠈⡿⠀⠀⠀⠀⠀⠀⣿⠟⠳⠦⡤⠊⠀⠀⠀⠀⠀⣸⠇⠀⡇⣼⠀⢰⠀⠀⢹⣇⠀⠀⠀ ⠛⠁⠈⣿⣷⣧⣴⣿⠿⠛⣿⠿⣿⣿⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣠⣴⣶⠿⠿⠿⡷⢛⠕⠷⡄⣧⣿⠀⢸⠀⠀⠸⣿⡄⠀⠀ ⠀⠀⢠⣿⢿⣿⣿⠁⠀⠀⠈⠳⠤⠶⠃⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠟⣱⠒⡠⢆⡴⣣⣯⢞⣴⡟⢿⡄⡏⠀⠀⠀⡏⢷⡀⠀ ⠀⠀⡌⣿⠀⠙⣿⡦⢀⣤⡴⣶⠖⣲⠆⢀⠞⠁⠱⠀⠀⠀⠀⠀⠠⣾⠟⠛⡡⠞⠁⢀⡴⢋⢎⣽⡿⣫⠋⠀⠘⢷⠃⡄⠀⠀⡇⠈⣿⡀ ⠀⠀⣇⢹⣦⠀⠼⢃⡾⢋⣶⢃⡼⣹⡳⠃⠊⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠠⠋⠀⡰⠋⠀⢘⣇⡇⠀⢠⠟⠀⡇⠀⠀⠀⠀⢹⡵ ⠀⠀⢻⣌⢿⡆⠀⡝⣼⠟⣩⢏⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠈⠀⣠⠏⣠⣾⡇⠀⠀⠀⠀⠘⣷ ⡀⠀⢸⣿⣿⣷⠆⢠⠏⡴⠃⡡⠋⠀⠀⠀⠀⠀⠀⣀⣠⠤⠔⠒⠤⣄⣀⠀⠀⢀⣰⠏⠀⠀⠀⠀⢀⣠⡾⠗⠋⢰⠏⡇⠀⠀⠘⠀⠰⢻ ⣇⠀⠘⣿⣿⣟⠻⣄⡞⠀⠐⠁⠀⠀⠀⠀⠀⣠⠞⣩⣤⣶⣶⣾⣷⣶⣬⣿⣿⣿⡏⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⢸⡆⡇⠀⠀⠀⠀⠀⠀ ⠹⡄⠀⠹⣿⣿⡄⠀⠉⠉⠀⡀⠀⠀⠈⢻⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⣧⠀⠀⠀⠀⠀⠀ ⠀⣿⢦⣀⠘⢿⣷⡀⠀⠀⡀⢦⠀⠀⠀⠀⠹⣿⣿⠏⠙⢻⣿⡿⠛⠉⠀⠸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠀⠀⡆⠀⠀⡀ ⢼⣿⠀⠈⢳⣤⣉⣻⣤⣀⣉⣩⠆⠀⠀⠀⠀⠹⡿⠀⠀⠈⡿⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠓⠂⠀⣠⣾⣿⣿⡿⢿⡄⠀⣧⠀⠀⠹ ⣾⠃⠀⣠⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⡇⠀⠀⢠⠴⣿⡄⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⣧⣀⠧⣰⣻⢄⠀⠀ ⠛⠶⢾⣿⣽⣭⣽⣭⢹⣷⠀⢹⣦⣀⠀⠀⠀⠀⡄⠀⠀⣸⡀⠀⠀⠁⣰⣧⣽⠀⠀⠀⠀⢀⣴⣾⣿⣿⡟⣻⣿⣿⣿⣿⢠⣿⣧⡸⣷⣄ ⠀⠀⠀⠈⠙⠿⣿⣿⣿⠏⠀⣾⣿⣿⣷⣦⣀⠀⢇⠀⠀⠈⠁⠀⣠⠔⠁⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⣼⣿⠏⣷⡈⠉ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣾⣿⣿⣿⣿⣿⣿⣷⣾⡆⠀⠀⠀⡾⠁⠀⠀⠀⣀⡴⠞⠛⣛⣿⡿⠿⠛⠛⠉⠉⠀⠀⠀⢰⣿⡿⠂⠈⠻⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢎⠉⠛⠻⠿⠿⠿⠿⠿⣇⠠⠸⣇⣀⣤⣴⣾⡭⠶⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠇⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣤⡀⠀⠀⠀⠀⠀⠈⣳⠀⣿⠛⠻⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡯⠀⠀⠀⠀⠀

⠀⠈⢠⠀⠀⢘⣄⠁⠐⠒⠈⠤⢪⣿⡢⠀⠀⠀⠀⢀⣬⣇⡀⠀⠐⡘⠀ ⠀⠀⣄⣤⣿⣿⣧⣿⣶⡖⢚⠊⠁⠀⢈⠁⢺⠲⠂⢻⢆⠀⢸⣅⠒⡡⠁ ⠀⢰⣿⠻⣛⣿⡿⠩⠀⢀⠸⢠⡟⡀⢸⡦⢈⡊⡭⠍⡟⡀⠀⢹⠏⠀⠁ ⠀⡘⢹⠠⢿⠫⠄⠒⠛⢺⠦⣾⣇⡇⣾⣧⡿⠏⢥⢤⡁⡷⡠⠊⠐⠀⠀ ⠠⠄⠀⠢⡋⠀⠂⠉⣠⣾⡎⣿⣿⣿⢋⣿⢳⣶⣦⠆⢀⢝⢀⠔⠀⠀⠀ ⠁⠀⠀⠈⠪⡂⢄⠤⢛⣉⠀⣿⠙⣾⣿⣫⣾⡤⡉⡲⠁⡡⠂⠀⠀⠀⠀ ⠀⠀⠀⠈⠢⡀⠐⠠⡄⠀⣬⡇⢰⡇⢻⣿⢁⢠⠘⠀⡐⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠢⡀⠐⢧⠹⣾⡟⣷⣽⣿⢪⡞⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⡄⡋⠓⣼⣛⡿⠛⣥⠟⣠⠿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣦⡽⢻⢆⠟⣡⠴⡟⠉⡷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠀⠀⠀⠀⠀⠼⡊⠣⣕⢀⢿⠚⣯⢀⠁⠐⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⢀⣀⣀⠀⠒⡤⠜⠾⠗⠀⠹⣌⠢⢄⣀⣀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢏⠀⠀⠠⣉⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣀⣈⣆⠀⠀⠈⠳⣄⠀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠈⠑⢦⡀⠀⠈⠳⣤⡀⠀⠈⠳⣿⡽⠏⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡴⠋⠙⠛⠓⠿⣄⡙⣿⡲⢤⡄⠀⠀⠀⠀⠀⠈⢳⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣼⠇⠀⠀⠀⠀⢀⣿⣻⠛⠛⠒⠀⠀⠀⠀⠀⠤⣤⡈⢇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣼⣫⠀⠿⡆⠀⠀⠀⣼⣿⣃⡼⣇⡀⠀⠀⠀⠀⠀⠺⣷⣼⣿⠾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡧⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠿⣏⠓⠶⣄⠀⠀⠀⠈⠻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣰⣶⠆⠀⢀⡔⠉⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⣸⣦⡀⣶⣦⡸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠒⠉⠈⠁⠀⡴⠋⠀⠀⠀⠀⠀⠀⣠⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡟⠃⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣤⠀⠀⠠⠀⠀⡔⠑⠦⠀⣀⣠⣤⣴⣿⠟⢁⠀⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢇⠀⠀⠀⣤⣽⣧⣉⣡⣭⢩⣄ ⠀⠀⠀⠁⠀⠀⠀⠀⢸⢀⡴⠚⠓⢻⠿⡟⡟⡏⢠⡏⠀⢸⡿⣿⣤⣤⡀⠀⠀⠀⠀⣀⣠⣀⠘⡄⠀⠀⠱⢤⡤⠘⠦⠆⠶⠶ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⡟⠀⠀⠀⣼⠸⠀⢸⠟⠿⠀⠀⣼⣧⣿⣿⡿⠉⣹⡖⠒⠋⠁⠀⠀⢉⣷⠀⠀⠀⠘⠛⠃⠊⠒⠒⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⣠⠇⠀⢀⣸⣇⠀⠠⣿⡿⢻⣿⢿⡇⠀⣯⠀⠀⠀⠀⢀⣴⡵⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠒⠒⠒⠤⠤⣠⡏⣀⣤⣴⣾⡏⠀⠀⡴⠋⠏⠀⢀⠼⢿⣾⣿⣼⠀⢰⢿⠀⠀⠀⡞⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠶⢬⣇⡀⢸⡇⠀⠀⣀⠀⠀⠈⣿⠂⡟⠀⡇⣸⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠒⠿⠿⣿⣤⣾⣿⣶⠁⢸⢁⡏⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠉⠛⠿⣧⣧⣐⡇⠀⠀⠀⢸⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠷⣄⣀⡀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠃⠀⠘⠛⠛⠓⠚⠓⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢰⡘⡁⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠖⠂⠠⠤⢀⡀⠈⠁⠂⢄⠈⢆⡓⡁⠀⠀⠀⠀⠄⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠈⠑⢀⠀⠀⡖⠒⠁⡤⠄⠀⣀⡀⢰⠘ ⠀⢠⣀⡄⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⣀⠅⠀⠁⠀⠀⠀⠉⠃⠥⡀⠀⠁ ⠀⠘⠿⠃⢀⡀⠀⠀⡠⠊⢂⠄⠤⠄⠒⠉⠄⡀⠀⠀⠀⠑⢄⠀⠀⠀⠒⠑⠦ ⠀⠀⠀⠰⠿⠃⠀⡰⢁⠀⠁⠀⢀⠀⠀⠈⠐⠨⢕⢄⠀⠀⠀⠑⢄⠔⡒⠀⠤ ⠀⠀⠀⠀⠀⠀⠜⠔⠁⠀⠀⠀⠀⠈⠁⠂⠤⣀⢀⡽⣵⣌⠢⠀⠀⢽⡎⣷⣶ ⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠁⠢⢀⠀⠀⢀⡀⡠⢡⡾⠉⠱⠱⡱⡀⠀⠻⡼⠋ ⠀⣀⣈⡁⠀⣧⠁⠀⠀⠀⠀⠀⠀⠑⡢⣊⢎⢢⣯⢤⡀⡠⡄⣋⢷⡀⡔⠁⠀ ⠀⠀⠀⠀⠙⡇⠀⠈⠢⠀⠀⠀⠀⠈⢛⠋⠀⠈⠉⠋⠊⢰⡿⠋⠜⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠠⠀⠑⢄⠀⡘⢢⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡘⡀⠀⠀ ⠐⢄⠀⠀⠀⠘⡀⡄⠡⠀⠀⠙⢬⣗⣶⡤⣀⠀⠀⠀⠀⠀⢀⣤⡝⢄⠐⡄⠀ ⠀⠀⢉⣲⣤⣤⣗⡐⠄⠑⡀⠀⣖⡞⠁⠑⠹⠀⠐⠀⠀⠔⢵⡏⠁⠀⡆⢠⠐ ⠀⠀⣜⢋⠆⠬⠽⠷⢌⣢⡈⢲⠙⠻⢖⡒⠀⠀⠀⠀⣰⣾⣿⠂⠀⠀⠀⠀⣼ ⠀⠀⢟⣼⠎⠀⠀⠀⠀⠀⠉⠚⠢⠴⠂⠬⠿⠴⠭⣁⠔⠀⠉⠓⢤⣤⣴⣾⠁ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠚⣰⢈⡤⠂⠀⠀⠀⠀⠈⠛⠇⠒

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠄⠀⠤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡖⡁⠀⠀⡀⠀⠀⠀⠈⠐⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⠀⢠⡎⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⣿⣄⣾⣥⠎⠀⢀⣸⣀⠀⣤⣼⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣽⣿⣿⣿⣷⣦⣼⠁⣿⣶⡿⣿⢿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠿⠘⡟⠻⠛⠐⠿⠿⣃⡟⣘⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠉⣿⣿⡇⡔⠛⡓⠀⠀⠀⡠⢤⡀⢹⡟⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣷⣿⣿⡇⠈⠊⠀⠤⣤⣀⠦⠂⢀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢻⣿⣿⣿⣄⠀⠀⠀⠈⠀⠈⠁⢀⣾⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡸⣟⣿⣿⣿⡌⠲⣄⠀⠀⠀⣀⠤⠞⢿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣡⠼⠛⠉⢻⡧⠀⠙⠷⢶⠈⠁⠀⡠⠐⡏⠀⢡⡀⠀⠀⠀ ⠀⡰⠊⠁⠀⠀⠐⠠⠼⣇⠱⠀⠀⠈⡠⠒⠈⠀⢰⠃⠀⢸⡇⠀⠀⠀ ⠰⣇⠀⠀⠀⠀⠀⠀⠀⠹⠈⠉⠀⠀⠀⠀⠀⠀⠁⠀⢀⣾⢸⠀⠀⠀ ⠀⡟⣷⣦⡀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠨⠀⠀⠀⠀⠀⠈⢿⣿⢄⠀⠀ ⠀⢸⠰⡪⣻⣆⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⢀⠀⠀⠀⠀⠀⠙⢤⡄⠀ ⠀⠀⡇⡐⡙⣾⡆⠀⠀⠀⡠⠮⠤⡀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠄⠑⡀ ⠀⠀⠸⠘⣈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠑⡧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠡ ⠀⠀⠀⢻⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠈⡄⢃⠀⠀⠀⠀⠈⠀⠀⠀⠀⢸⢆⣀⠀⠀⠀⠀⠀⠀⠀⠌ ⠀⠀⠀⠀⠘⡈⡄⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠑⠀⠄⡀⠄⠂⠀ ⠀⠀⠀⠀⠀⠡⠈⠢⣀⠀⠀⠀⠀⡀⠔⠁⠀⢀⠤⠆⠡⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢣⠀⠀⠉⠀⠀⢈⡀⠤⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠒⠀⠒⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⡀⠀⠀⢀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⣧⡀⣿⣷⡆⢯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⢿⣿⡿⠟⠻⢻⢹⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⢘⣧⢣⡀⠀⠀⣸⣴⡏⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣽⣼⢿⣆⣋⠕⢉⡜⡈⠧⠉⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠹⠩⡿⠉⡏⡆⠚⠇⣆⠂⡄⢀⠇⠀⠀⠀⣠⠖⠈⠑⢆ ⠀⠀⠀⠀⠀⠀⠈⡄⢡⡁⣳⡿⠁⠀⠈⠛⠀⠛⠎⡆⢀⡠⠊⠀⠀⠀⠀⠸ ⢀⠤⠤⢀⡀⠀⠀⢡⠀⢣⡁⠀⢀⠀⠀⠀⠠⠴⠗⡩⠊⠀⢀⠎⠀⠀⠀⠇ ⡇⠀⠀⠀⡀⠉⠐⠠⢄⡀⢱⡀⠁⠀⠀⠁⠀⡠⠋⠀⠀⢠⠂⠀⠀⠀⢠⠀ ⠡⡀⠀⠀⠈⠂⢄⠀⠀⠈⠙⠠⡀⢀⣤⢀⡔⠁⠀⠀⠀⡆⠀⠀⠀⠀⠎⠀ ⠀⠈⢄⠀⠀⠀⠀⠠⡀⠀⠀⠀⠈⣉⣳⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⠊⠀⠀ ⠀⠀⠀⠁⢀⠀⠀⠀⠡⡀⠀⠀⠀⠀⠘⠔⠀⠀⠀⠀⢠⠩⠦⢠⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠄⡀⠠⠈⠢⢀⠀⠀⠀⡸⠄⣀⣀⣠⡇⠀⢀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠈⡗⠖⠊⠀⠀⠀⠀⢦⠘⡶⢻⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣍⡆⣸⠀⠀⠀⠀⠀⠈⠳⣸⠫⠑⠙⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠅⠐⠀⡇⠀⠀⠀⠀⠀⠀⠀⠙⠶⠦⠞⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠦⠶⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠴⠚⠉⠁⠀⣀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⣴⡄⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⣀⡴⠛⠁⠀⠀⠀⣠⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⡿⠁⠀⢰⠿⡇⠀⠀⠀⢀⣴⢟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⣠⠞⠉⠀⠀⠀⢀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣷⣤⣴⣿⣶⣿⣿⣿⣿⠟⠋⣸⣷⣶⣶⠦⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠟⠁⠀⠀⠀⣠⠞⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀ ⠀⠀⠀⠀⢠⣴⣿⡿⢿⣿⣯⡀⠀⠀⢸⣿⣦⣀⣿⠛⠛⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⢀⡴⠋⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⡋⠀⢿⣿⣷⣤⣿⣿⣿⣿⢿⣿⡀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⢠⠞⢀⣠⠴⠚⠛⡇⠀⠀⠀⠀⠀⠀⣼⣁⣀⣀⡀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣧⣠⣿⠟⠻⣿⣿⣿⣿⠏⠘⣿⣧⢀⠀⠀⠀⠻⣿⣦⡀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⢠⣏⡴⠋⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⡸⠋⠁⠀⢨⠇⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣶⣖⣿⣿⣿⣿⡆⠀⢻⣿⡉⠀⠀⠀⠀⠈⠻⣿⣦⣄⣀⣸⡄⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⢰⠃⠀⠀⣠⠏⠀⠀⠀ ⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣏⡽⠛⠁⢹⣿⠀⣼⡿⠇⠀⠀⠀⠀⠀⢐⣾⣿⣿⣏⠉⣧⠀⠀⠀⠀⠀⡞⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⢀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⠞⠛⢉⠀⠋⢉⡍⠀⠀⠀⣠⣿⣷⡿⠁⠀⠀⠀⠀⠀⠀⠐⣿⣽⡇⠹⣷⡘⣆⠀⣀⣀⣸⣃⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⣀⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⢦⣉⣀⣀⣤⡞⢀⡠⠖⠻⣾⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠉⠉⢠⣀⣤⡿⠗⠛⠉⠁⠀⠀⠈⠉⠓⣦⣜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠒⠶⢦⣬⣽⣧⡾⠿⠿⠖⠒⠚⣻⣿⡏⠀⠀⠀⠈⠀⠉⠀⠀⠀⣠⡾⠛⠁⠀⠀⠀⠀⠀⢀⡤⠖⠋⠉⠁⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⡴⠉⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⣠⣾⣿⡟⠋⠀⠀⠀⠀⠀⠀⢀⣰⠟⠉⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⢀⡶⠀⢀⡜⠓⠦⣄⠀⠈⠻⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⢿⣿⣿⣷⣄⡀⠀⠀⢀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠈⠃⢰⡋⠀⠀⠀⠀⠱⣄⠀⠈⢧⡀⠀⠀⠀ ⢀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣋⣁⢠⣿⣿⣿⣿⣿⣿⣶⣶⣿⡿⠋⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⢧⠀⠀⢳⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⣶⠀⡇⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⢳⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⣿⡿⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⡿⠀⡇⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⢧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣻⡿⠁⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⢀⡇⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠈⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠗⠒⠾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⡞⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⢠⣾⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⣀⠴⠛⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⣴⣶⡭⠥⠖⠒⠛⠛⠒⠒⠒⠒⠢⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠤⣄⣀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠊⠉⢀⡤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠖⠀⢸⡇⠀⠀⠀⣠⣶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠈⠳⣄⠀⠀⢀⡴⠊⠁⠀⠀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣀⣠⣧⣷⣤⣤⡶⠟⣾⣤⣤⡀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠈⠳⡴⠋⠀⠀⣠⠴⡋⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀ ⠀⠀⠀⣠⣶⡿⣿⣿⣍⠀⢀⣿⣧⣀⣟⠛⢶⣤⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⣠⠊⠁⢀⡇⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀ ⠀⠀⢰⣿⣿⣏⠁⣿⣿⣶⣿⣿⣾⢻⣧⠀⠀⠉⢿⣄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⠇⠀⠀⡜⢁⠔⠊⠉⡇⠀⠀⠀⠀⢰⡧⠤⢤⠀⠀ ⠀⠀⢸⣿⣿⣿⣾⣿⣈⣽⣿⣿⡇⠠⣿⡶⠀⠀⠈⠹⣷⣄⡀⠀⣇⠀⠀⠀⠀⢀⠇⠀⠀⣸⡗⠁⠀⠀⢠⠇⠀⠀⠀⢠⠇⠀⢀⡜⠀⠀ ⠀⠀⠘⢿⣿⣿⣿⣿⣟⣻⠟⠙⣷⠀⣿⡧⠀⠀⠀⠀⢨⣿⣿⡟⢹⡀⠀⠀⠀⡸⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⣠⠎⠀⠀⠀ ⠀⠀⠀⡤⢛⠋⠀⠋⡩⠁⠀⡀⣽⣿⠏⠀⠀⠀⠀⠀⣺⡯⠿⠹⣦⢣⣀⡀⠠⢇⣀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⣼⡠⠞⠁⠀⠀⠀⠀ ⠀⠀⣀⣘⠒⢤⡤⣾⣡⣔⣋⣹⣿⡿⠃⠀⠠⠀⠀⠀⠀⢀⣦⠾⠛⠉⠀⠀⠀⢀⡠⠽⠺⡄⠀⠀⠀⠀⠀⠀⠀⣰⢏⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠛⠋⠉⠉⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠈⢢⠀⠀⢀⡄⠀⡰⢥⡀⠈⠳⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢿⣿⣷⣄⠀⠀⢀⣀⡼⠋⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠘⠀⡎⠀⠀⠈⠳⡄⠈⢣⠀⠀⠀ ⠄⠀⠀⠠⠤⠤⠤⠤⣥⢤⣿⣿⣿⣿⣿⣶⣿⠟⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠘⣄⠀⢳⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⡇⡇⠀⠀⠀⠀⠀⠘⡄⠀⢣⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢧⣸⡿⠁⣿⣿⡿⠁⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⢰⠀⠇⠀⠀⠀⠀⠀⠀⢡⠀⠈⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠗⠲⢿⡿⠁⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⣎⡜⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⣠⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⣀⣔⣊⡁⠽⠦⠤⠄⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠠⢄⣀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢻⣇⠀⢻⣌⣧⣿⣆⠀⠉⢲⠉⣹⠤⠀⢀⡇⢹⡿⠿⠉⠉⠁⠉⠀⠉⠑⠲⣧⣰⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⣹⣿⣿⣿⣭⠁⠀⠸⠟⠁⠀⠀⣼⣿⣷⠖⠀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⣿⡿⠙⠊⠉⠉⢀⣄⢀⡠⠀⣠⠞⣹⢿⡿⢠⣾⣿⠶⣄⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣾⡏⣿⡓⢲⡤⢤⠤⢽⡿⠗⠋⡯⢩⣧⣼⣷⣿⣝⠇⠀⢉⠿⠋⢫⠑⣂⣠⣼⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢻⣿⣷⠏⠀⠈⠲⠤⣵⣀⣤⡞⠁⠀⠀⣿⣧⠛⠀⠠⣾⠤⣤⡾⠊⠉⠀⢘⣻⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠻⢭⡗⠋⠉⠉⠑⢦⠈⢰⠀⠀⠀⠀⢿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⢀⣽⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡭⠭⡖⠂⢀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠈⡖⠒⠒⢲⠄⠀⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⠇⠀⣰⣠⢾⣿⠄⠘⡆⠈⢦⡀⠀⠀⠀⠀⣰⣥⣀⡠⠞⠠⣤⠤⠔⠂⠤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣾⡯⣖⡹⠃⣰⣠⠇⢷⠀⠈⠑⢲⠒⢻⠛⠛⠛⠒⠒⠉⠁⠀⠀⠀⡀⢱⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡷⠒⠮⢽⡁⠀⠘⣆⠀⠀⢸⠀⣇⠀⠀⢀⡠⠤⠒⠋⠉⠉⠁⠀⠉⠉⠉⠉⠲⡄ ⠀⠀⠀⠀⠀⠀⠀⠈⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⣠⠴⠋⢱⢄⡀⣸⣄⠀⢮⠀⠈⣱⠖⠁⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⢰ ⠀⠒⠺⠿⣶⣬⣍⡁⠛⠬⠳⢄⡀⠀⠀⠀⢀⡜⠁⡠⠋⠁⠀⡰⠁⠀⢸⠋⠀⠀⠈⣆⠞⠁⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀⠃ ⠀⠐⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⣤⠴⠞⠒⠈⠁⠒⠤⠄⡇⠀⠀⠇⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⣀⣵⡀⢠⣤⠋⡠⠂⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠏⠀⣤⠀⠀⢱⠎⠀⠀⠀⠀⠀⠀⠀⠀⢺⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⣼⠉⢳⡀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀ ⠀⠀⠀⠀⠀⡠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢈⢩⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢹⣿⠀⢸⢸⣦⣀⣀⣀⣀⡠⠤⠤⠾⣁⣸⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⣿⡀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠤⠤⠤⠒⠉⠉⠁⣾⢿⣇⠸⡘⢯⡇⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣸⠁⠳⣄⡀⠀⠀⣨⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠉⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⢰⠉⠀⠀⢰⢧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠹⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⣄⠀⠀⢀⡴⡃⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⡜⠀⠙⢦⡀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠉⠉⠉⠉⠀⠈⠉⠉⠁⠉⠉⠉⠉⠉⠛⠛⠁⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣛⣉⠀⠀⠀⣀⣤⠤⠖⠒⠂⠀⠀⠀⠀⠙⠓⠒⠒⠦⣤⣴⣶⠿⠿⠟⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣯⣾⠿⠿⠛⠛⠛⠻⠿⢿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠉⠀⠀⠀⠀⢀⣀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⣀⠄⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠐⠊⠀⠀⠀⠀⠀⠀⠀⠉⡵⠲⡄⠈⠻⣷⣝⢿⣿ ⣿⣿⣿⣿⠟⠁⣀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⡆⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣀⡇⠐⢦⡘⢿⣆⢻ ⠟⣱⡿⠃⡠⠊⠁⠀⠀⠀⠀⠀⣀⡤⠤⠤⣄⡀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⡠⠖⢊⣉⣉⣑⠲⢌⠉⠙⡟⠉⠛⠀⠱⣜⣿⡄ ⢰⣿⢡⠎⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠈⠹⢆⢠⣾⣧⣄⠀⠀⠀⠀⢴⡿⠻⣷⣼⣁⡞⠁⠀⠀⠈⠳⣄⠱⡄⣷⠀⠀⠀⠀⠀⣿⡇ ⢸⡏⠀⠀⠀⠀⠀⠀⢠⡟⠀⢀⣾⠉⠉⣣⣠⣴⠿⢟⠁⠙⠛⠀⠀⠀⠀⠈⠁⠀⢳⣍⡙⠛⠷⢶⣤⣀⡈⢹⠀⡣⠼⠀⠀⠀⠀⢠⣿⠇ ⢸⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀⣨⣷⡶⠟⠋⣉⣤⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠈⠙⠻⢿⣶⣧⣄⣀⣀⣀⣠⣾⡟⠀ ⠈⢿⣧⣀⠀⢀⣀⣠⣤⣿⠿⠋⠁⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⢻⣧⣀ ⠀⣸⡿⠻⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿ ⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⢻⣟⢛⣛⣿⣿⣋⣩⣻⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿ ⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠿⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⢉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣿⣿⣿⡿⠋

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠉⠓⠀⠀⠱⣤⠀⠀⠀⣀⠔⣫⠂⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⢀⡤⢶⡿⠔⠒⠚⠳⠤⢞⣁⠔⠁⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠙⠻⣉⠉⠑⠒⠮⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠒⢤⡈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠓⣄⠀⠀⠀⠈⠢⡀⠀⠀⠨⡛⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⢆⠀⢀⠃⠀⣠⠀⠀⠈⠢⠀⠀⠀⠀⠑⢤⡀⠀⢻⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⢀⠀⠀⠀⢸⡠⠃⠀⢠⢹⠀⠀⢰⠀⠀⠀⠀⣀⠀⡀⣷⣆⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢷⡈⢦⠀⠀⡜⢁⡀⠀⢸⠈⡆⠀⠀⢦⠀⡀⠀⠈⢳⣿⣟⣿⡞⠀⢹⠶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⢃⠀⠁⡞⠀⢸⠇⢤⣼⡄⠱⢄⣀⡀⣽⠟⢛⣿⣿⡿⢿⡇⠣⣀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡰⢳⠀⢣⣼⠀⠀⣿⠀⣀⣁⣉⠀⣄⠉⠉⠀⢀⣾⣿⣿⣄⠊⣇⠀⠈⠙⢢⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⠁⠄⠀⢚⡇⡀⠀⢿⠦⢤⣤⣬⡉⠉⠀⠀⠀⠈⠿⠿⠛⠁⠀⣉⠓⠤⡀⢸⢠⠇⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⣠⠊⢀⠄⠀⣠⠊⢡⡇⠀⠸⡄⠀⠀⠙⠗⠀⠀⠀⢀⣀⡀⠀⠀⠀⢀⡟⠀⡠⠫⢶⣿⠀⠀⢀⣀⡄⢀⣴⠀⠀ ⠀⠀⢠⠞⠁⢠⠊⢀⠞⠁⠀⠸⣿⡀⠀⠱⣄⠀⠀⠀⠀⠀⠺⠿⠏⠁⠀⠀⣠⠎⠀⡼⣀⢰⠘⢺⡀⠳⠘⡿⠿⣶⠋⠀⡀ ⠀⣰⠃⠀⡠⢿⣠⡇⠀⠀⠀⠀⠙⢷⡀⠀⠈⠳⡀⠀⠀⠀⠀⠀⢀⣀⣤⠴⠃⣠⣊⠀⢀⣽⡷⠛⢱⠀⣦⣰⡿⠿⠓⠀⠋ ⢰⡇⠀⢰⠁⢸⡏⠁⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠘⡦⣀⡖⠊⠉⠀⠀⠘⣄⡰⢡⠋⠀⡝⠉⣲⠖⢚⡇⠨⢌⡁⠀⠀⠀⠀ ⠸⣧⠀⢸⠀⠘⡿⡀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠀⣰⠃⠀⢳⠀⠀⠀⠀⢀⣼⣡⠋⣠⠞⢀⣼⠧⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢧⡀⠣⡀⠘⣷⡀⠀⠀⠀⠀⢠⠋⢀⡠⡔⠁⠀⠀⢘⡄⠀⠀⠀⠀⠉⠙⠚⠛⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠒⠽⢄⠈⠛⠢⠀⠀⠀⠧⣀⣸⡤⠟⡆⠀⣠⠏⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠞⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡀⡀⣷⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⢟⠛⢻⠏⢹⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠋⣸⢶⣴⣷⣏⡤⠁⣿⣇⡀ ⠠⢠⣤⣶⣟⣷⠖⢲⣥⠖⣵⠀⢢⡆⠙⠿⣿⣧⣰⣿⣿⠁ ⠀⢰⣿⡟⣉⣕⣦⣽⠁⡈⠁⠀⠀⠀⠀⠁⠬⣿⣿⣿⡟⠀ ⠀⠘⣿⣿⣿⠛⠛⠁⠀⠀⢀⡀⢀⣤⠀⠁⣴⣿⣿⡿⠀⠀ ⠀⠠⣿⣿⣷⣄⡀⠀⠱⡟⠒⠚⠋⠀⢀⣾⣿⣿⡿⠃⠀⠀ ⠀⠀⢹⣿⣿⣮⡳⣦⢀⠈⢑⠂⠂⣰⣿⡿⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⠲⣼⡷⡦⢾⣿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠙⠉⠉⠁⠈⠃⠁⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀

⢀⠀⠀⠀⠀⣰⢀⣾⠛⠉⢀⣾⣿⠀⣰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⢠⡿⠘⣷⠀⢻⡄⠀⠈⠘⢧⣤⣽⣓⢮⣿⠀⠀⠀⠀⠀⠃⠀⠸⡇⢀⠀⢣⠀⠀ ⠸⠀⠀⠀⢰⢇⡾⠃⠀⢀⡾⢃⡏⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠈⣇⠀⢸⡇⠀⠸⣧⠈⢿⡄⠀⠀⠈⢳⣦⣍⠉⣿⠃⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⠂⠀ ⠀⠀⠀⠀⣾⣿⠃⠀⢠⡾⠀⢸⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠠⠀⣿⠀⢸⡇⠀⠀⠹⣇⠀⢻⣄⠀⠀⠈⠁⠈⠙⢿⡆⠀⠀⠀⢰⠀⠀⠀⡇⠀⠈⠀⢰⠀ ⡇⠀⠀⢠⣿⠃⠀⢀⡾⠁⠀⢸⡇⠀⣿⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢰⣿⣿⣦⣿⣆⣸⡇⠀⠀⠀⠹⣧⡀⠻⣆⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡜⠀⠀⠀⡇⠀⠀⠀⠈⡆ ⠇⠀⠀⣸⡟⠀⠀⣾⠁⠀⠀⢸⣇⣼⣿⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠞⣿⣿⣦⣽⣿⣿⣿⠿⠿⠿⠿⠾⣷⣦⣽⣷⡄⠀⠀⠀⢾⡇⠀⠀⢠⡇⠀⠀⢸⡇⠀⠀⠀⠀⢿ ⠀⠀⠀⣿⡇⠀⣿⠏⠀⣀⣴⣾⣿⣿⡿⡟⠻⣇⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠉⠁⠉⠩⣿⣾⣇⠀⠀⠀⠀⠀⠈⠻⣯⡙⠷⣦⣀⠀⢸⡇⢠⠀⣸⠁⠀⠀⢸⡇⠀⠀⠀⠀⢸ ⡀⠀⠀⣿⠂⠀⡟⣠⣾⠿⠋⠉⣿⠘⣷⣿⣆⢿⡆⠀⠀⠀⠀⠀⠀⣿⢿⡇⠀⠀⠀⠀⣀⣴⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡘⠙⠷⢾⡇⢸⢠⡏⠀⢀⠀⢸⡇⠀⠀⠀⠀⠈ ⡇⠀⠀⣿⠀⣻⡿⠋⠀⠀⠀⠀⢻⡆⣿⢸⣟⠸⣷⡀⠀⠀⠀⠀⠀⣿⡼⣷⠀⠀⣰⣾⡟⢉⣹⣧⣿⣶⣾⣿⣿⣿⣿⣭⣭⣉⣬⡿⢶⣄⣾⠇⣾⠜⠁⠀⠙⢷⣿⠆⠀⠀⢀⣠⡴ ⡇⠀⠀⣿⡄⣿⠃⠀⠀⠀⠀⠀⠸⣷⣾⡄⣿⣄⠙⢷⡄⠀⠀⠀⠀⠘⡇⢹⡆⠀⠿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢠⣿⠙⣢⠶⠋⢁⡀ ⡇⠀⠀⣿⡇⣿⠀⢀⣀⣀⣿⣶⣾⣿⣿⣧⣈⣿⡇⢸⣿⡄⠀⠀⠀⠀⢷⡀⢿⣦⣴⣿⣿⣿⣿⣿⣏⠉⠁⢠⣿⣿⣿⠇⠀⠀⠈⢹⣿⡿⣿⠀⠀⠀⠀⠀⠀⢸⣿⠞⢁⡠⠾⣅⡀ ⡇⠀⠀⣿⣷⣿⠀⣼⣿⣿⠿⢿⣿⣿⠻⡿⣿⣿⣧⣤⣽⣷⣤⣤⣶⠾⠚⠃⠈⠫⣽⣿⡿⠉⠻⣿⡏⠳⢶⣿⡾⠛⠋⠀⠀⠀⢠⣿⡟⠉⣿⠀⠀⠀⠀⠀⠀⢸⡇⣰⣯⣤⣤⣄⡀ ⣿⢀⠀⢹⣿⣿⣈⣿⣿⣿⠀⠸⢿⣿⣦⣰⣿⣿⣿⡏⠉⢸⠀⠀⠀⠀⠀⠀⠀⠀⠙⣏⠀⠀⠀⠈⠙⠛⠛⠛⠁⠀⠀⠀⠀⣠⣿⠛⠀⢰⡏⠀⠀⠀⠀⠀⠀⡿⢸⣁⡠⢤⡀⠀⠁ ⣿⢸⡄⠘⣿⣿⣧⠀⠸⣿⣧⠀⠀⠻⠿⠶⠛⠋⢈⡇⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠒⠛⢷⣶⣶⣄⣀⣀⣠⣤⣶⠾⠟⠁⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⡇⠈⢿⡆⠀⢳⡀⠀ ⣿⡼⣧⠀⢿⣿⣿⡇⠀⢸⠛⠛⣂⣀⣀⣠⡤⠶⢋⣠⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⠥⠤⠒⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⢰⡇⠀⡼⠃⢀⡼⠁⣠ ⠘⣯⢻⠀⢸⣿⢹⣧⠀⠀⠛⠯⠍⠉⠉⠉⠠⣖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠐⢸⡇⠀⣀⡀⠉⢠⡾⠉ ⠀⣿⡞⣦⠀⣿⡼⣿⠈⢧⣤⣶⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⠖⠀⠀⠀⠀⠀⢸⡇⠀⣀⡀⠀⠀⣠⡾ ⠀⢸⣧⢻⡀⠘⣿⣿⠀⠈⢿⡇⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⢸⡇⢸⣿⡇⣠⣾⠋⠘ ⠀⢸⣿⣎⣷⠠⠜⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⡇⠀⠀⠀⠀⢀⣤⣼⡟⢶⡾⠛⠛⣿⠀⠀ ⠀⠘⣿⣿⣸⡆⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠃⠀⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣏⣿⠀⠀⠀⠀⠀⣾⣿⠙⣇⢸⡇⠀⢀⡟⠀⠀ ⠀⠀⢹⣿⣷⢿⡀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠇⠀⠀⠀⠀⢰⣏⣿⡆⣿⣼⡇⠀⢸⡇⠀⠀ ⠀⠀⢸⣿⢿⣎⣧⠀⢿⣆⠀⠀⠀⠀⠀⠀⢰⣶⣶⡶⠶⠶⢦⣤⠶⠶⠶⠶⠶⠶⠦⠤⡶⠶⠶⢶⣶⡆⠀⠀⠀⠀⠀⠀⡀⢠⢷⡏⠀⠀⠀⠀⢀⣿⠟⣿⣷⢹⣿⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⣿⡎⣿⡝⠁⠈⢻⣦⡀⠀⠀⠀⠀⠀⠘⢿⡿⢦⣀⡀⠀⢀⣀⣀⣀⣀⣠⣄⣀⣴⡶⣾⣻⡿⠀⠀⠀⠀⠀⠀⣰⠀⣼⡿⠁⠀⠀⠀⠀⣸⡏⣸⠇⣽⣿⡟⠀⢀⡏⠀⠀⠀ ⠀⠀⠀⢿⡷⣿⣧⠀⠀⠘⣯⣧⠀⠀⠀⠀⠀⠀⠈⣿⣦⣿⡿⠋⠉⠁⠀⠉⠁⠀⠈⠃⠈⢿⣿⠟⠀⠀⠀⠀⠀⠀⡼⠃⣸⣿⠃⠀⠀⠀⠀⢠⡿⢰⡟⢰⣿⣿⡄⠀⠸⠀⠀⠀⢠ ⠀⠀⠀⢸⣧⣿⣿⣧⠠⠀⠀⢹⣷⣄⠀⠀⠀⠀⠀⠉⠹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠁⠀⠀⠀⠀⠀⢀⡾⢀⣠⣿⡟⠀⠀⠀⠀⠀⣾⠇⣿⠁⣼⡇⣿⠃⠀⠇⠀⠀⠀⣸ ⠀⠀⠀⠈⣿⢻⣿⣿⡆⠀⠀⠀⠹⣿⣿⣦⡀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⢸⢀⣼⣿⣿⠃⠀⠀⠀⠀⣸⣿⣸⠇⢠⡿⠀⡟⠀⡼⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⣿⡈⣿⢿⣿⡄⠀⠀⠀⠹⣿⣎⠻⣦⡀⠀⠸⣷⠀⠀⠀⠀⠀⣠⡶⠋⠀⠰⣀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣾⣿⠇⠀⠀⠀⠀⢰⣿⡇⣿⠀⣸⡇⢰⠁⠀⠁⠀⠀⠀⠸⢹ ⠀⠀⠀⠀⢹⡇⣿⣼⣿⣻⣶⣄⡀⠀⠹⣿⣧⠈⠻⣦⣠⠈⢧⡀⠀⣠⠶⠿⠶⠚⠁⠀⣿⠀⠀⠀⠀⠀⢀⣠⢶⡿⣿⡟⠀⠀⢠⡆⢠⣿⣿⠱⣿⢠⡿⢀⡀⠀⠀⠀⠀⠀⢀⠄⠀ ⠀⠀⠀⠀⠸⣿⢻⣿⣿⣧⢹⣿⡛⢳⠀⢻⣿⣧⠀⢿⣿⣆⠀⠙⠋⠁⠀⠀⠀⠀⠀⠀⢁⡀⢀⣠⣴⣞⠋⠁⡼⣿⠟⠀⠀⠀⣾⠃⣸⠇⣿⠀⣿⣾⠃⣼⠀⠀⠀⠀⠀⠀⣸⠇⠀ ⠀⠀⠀⠀⠀⣿⢸⡇⣿⡿⢿⣿⣿⣿⡁⠈⢿⡜⣧⢸⡃⠏⢧⡀⠀⠀⠀⠀⢀⣀⣠⣴⣿⣿⣿⣿⡟⠁⠀⡼⣽⡟⠀⠀⠀⣰⠇⢠⡏⠀⣿⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀ ⠀⠀⠀⠀⠀⣿⠘⡇⢸⣷⣖⣦⣈⠉⣿⠀⠈⣷⠘⣿⠁⠀⠀⠉⢳⣶⡖⠛⠋⣹⣯⣿⣿⣿⣿⠟⠁⢀⡼⣵⠟⠀⠀⠀⣰⡏⢀⡞⠀⠀⢿⣀⣿⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⢹⠀⡧⠘⣇⠈⣷⠀⠉⢻⡀⠀⠸⣧⢸⣇⠀⠀⠀⠈⣿⡇⠀⠀⣿⢹⣿⠉⣿⠃⠀⠀⡾⣱⠏⠀⠀⠀⣰⡟⠀⣾⣁⡤⠶⠛⣿⠇⠀⠀⠀⠀⠀⠀⠀⡼⠿⣿⡀⠀ ⠀⠀⠀⠀⠀⢸⠀⡿⠀⣿⠀⢸⡆⠀⠈⣧⠀⠀⢻⡄⢹⡄⠀⠀⠀⣿⡇⠀⠀⣿⣨⣷⣴⠟⠳⣤⡞⣰⠏⠀⠀⠀⣰⡟⠀⣼⣫⡅⠴⣶⣤⡾⠀⠀⠀⠀⠀⠀⡀⣼⠃⠀⣿⡇⠀ ⠀⠀⠀⠀⠀⢸⠀⡇⠀⢻⡀⠀⣿⡀⠀⢹⣆⠀⠀⢷⡄⣿⡀⠀⢀⣿⠇⠀⣴⠿⠋⢹⣿⣴⣦⠎⣰⠋⠀⡴⢆⣽⢏⣀⣼⣷⠟⣛⣛⣁⣼⠃⠀⠀⠀⠀⠀⠈⢀⡿⠶⠤⢾⡇⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣽⡿⠿⢿⡿⠿⣷⣿⡿⡾⠻⠿⠿⠿⠷⠚⠴⠠⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⡇⠀⠀⣧⣼⠁⢸⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠙⠢⠤⠒⠒⠊⠉⢓⠏⠀⠀⣷⡀⠀⣹⣿⣠⡿⠂⢸⡷⠤⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠋⠉⢉⣉⢀⡘⡇⢀⣬⣿⡀⠀⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⣴⣿⣟⣿⣷⣽⠸⡇⠈⢧⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⢀⠔⣿⠀⠀⠀⠀⢸⠟⠛⠻⠿⣙⢻⡀⠙⢦⡀⢳⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⢀⣮⣾⡇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠉⠁⠀⠈⣿⣿⡇⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠤⢼⣄⠎⠁⢀⡇⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⡀⣀⣠⡞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠐⠢⡤⠝⠀⣰⠋⠀⠀⣆⠀⠀⠀⠈⠳⢤⣀⣀⣀⠀⢀⣼⣿⠀⡇⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⣼⣁⡀⠀⠀⠙⣦⡤⠤⠤⠒⠋⠁⠀⠈⠑⠻⢿⣈⠀⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠓⠉⣉⡉⠉⠉⠓⠞⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⣩⡴⢊⣩⠜⠛⠛⠳⣶⣄⡈⠢⡄⠀⠀⠀⠀⢠⣀⠀⠀⠀⠀⠀⠈⠻⣦⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣮⡞⢁⣼⠟⠁⠀⠀⠀⣠⡇⠈⠻⣦⠈⢢⡀⠀⠀⠀⢿⣷⣤⡀⠀⠀⠀⠀⠀⡇⠈⢆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⣿⢋⠓⠤⠤⠒⠚⣿⡷⠄⠀⠈⢷⡄⠱⠀⠀⠀⠈⠙⠳⢌⡁⠒⢦⡴⠊⠀⠀⠈⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠉⡿⢿⢡⠇⢸⢀⣠⠴⠒⠋⠁⠀⣀⣤⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠙⠲⢼⡁⠀⠀⠀⠀⢁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣮⣼⣁⡼⠉⢀⣾⠏⠀⠀⠀⣠⠶⣋⡽⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠤⡀⠀⡎⠀⠀⠀⠀ ⠀⠀⠀⣠⡴⢻⣿⣿⣿⢁⡴⠋⢸⠀⠀⣠⠞⢑⡶⠋⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡄⠀⠀⠀⠀ ⠀⢠⡞⠋⠀⢸⢉⡟⢻⠟⠁⠀⠸⡄⢠⠋⢰⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀ ⣰⣏⣀⡀⠀⢸⣞⣠⠏⠀⠀⠀⠀⢷⡏⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀ ⣿⣿⣿⣿⣷⣾⣿⠏⠀⠀⠀⠀⠀⠈⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀ ⠙⠿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆ ⠀⠀⠈⠙⠛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⣸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⢒⣿⣿⡟⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞ ⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⠿⣿⣮⣷⣄⣀⠀⠀⠀⠀⠀⢀⣀⡠⠄⠀⠀⠀⢀⠜⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⣀⣤⠶⠶⠶⠿⠿⠿⠿⠭⠭⠽⠋⠙⠓⠦⣧⣤⣽⣿⠿⠿⠟⠛⠛⠉⠉⠉⠁⠈⠐⠦⠖⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠩⠟⠙⠲⣄⣭⡳⢷⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⣠⠀⠀⠀⠀⠀⠀⠘⣗⡄⠳⡙⠧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠒⠒⠒⠒⠢⠤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡖⡶⣤⠀⠀⠀⣾⡀⣇⠀⢀⡶⠀⠀⠀⠀⠈⠀⠀⢐⣩⠿⠁⠀⠀⠀⠀⠀⠀⠀⠘⠿⠤⢤⣀⠀⠀⠀⠀⠈⠑⢯⡳⣄⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠿⠟⠀⠀⠀⣟⣷⣾⣦⣼⣧⣤⣀⡒⠊⠉⠉⠉⠉⠻⢦⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠹⡈⢿⡽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⡶⡄⠀⠀⣀⡴⠖⠛⠛⠻⣧⠼⠓⠒⠚⠯⣷⣦⣤⡀⠀⢐⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⢦⡀⠀⠀⢀⡇⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠂⣠⠞⠉⠀⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠉⠓⠭⣍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣗⠂⠙⢦⣤⠞⠀⢣⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⢠⠞⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣷⠀⠀⠀⠀⠀⢞⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡿⠁⠀⠀⢀⠀⢠⠏⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡏⠀⠀⠀⠀⠒⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣇⣀⣀⣴⣯⣼⡏⢰⣤⣝⠷⣜⢦⡀⠒⢦⡀⠀⠀⢠⡀⠀⣠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠒⠉⠉⠙⡿⠀⠀⠀⢀⣴⠾⠟⠳⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠇⢨⣯⣭⠾⠛⠁⠈⠙⠻⠗⣾⣍⠛⠓⠒⠺⡗⠒⠒⠚⠛⠉⣇⠀⠀⠀⠀⠀⠀⢀⣴⠊⣡⠟⠀⠀⠀⢀⡞⢁⣠⠶⠊⠁⠀⠀⠀⣠⣶⡴⠟⠙⠢⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡟⢠⣾⡿⣷⡄⠀⠀⠀⠀⢀⣼⡿⡿⣷⣆⡄⠀⡇⠰⠀⠀⢢⠀⠸⣆⠀⠀⠀⠀⢠⠞⢡⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣾⠟⠉⠀⠀⠀⠀⠈⢧⠀⠀⠀ ⠀⢀⣠⣾⡟⠀⢨⣿⣿⣩⣧⠀⠀⠀⠀⣿⣷⡏⠉⠟⣿⠋⢰⠇⡆⡈⠄⠀⠳⡄⡸⡆⠀⠀⢠⡏⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠣⠀⠀ ⠀⠀⣤⡟⠀⠀⠈⠙⣏⣿⣿⢧⣀⠀⢨⡿⣿⡯⢀⣼⠇⠀⣼⡜⠀⡀⡜⣆⠀⠱⣿⢹⣆⠀⡾⣰⢷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⢀⠀⠀⠀⠀⡿⣍⠉⣽⠇⠀⠀⠉⠉⠉⠉⠁⠀⢸⡏⠀⠀⠈⢞⣌⢣⠀⡌⣿⡢⣰⡿⠁⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢋⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣿⢸⠀⠀⣀⠾⣇⠈⠉⠁⠀⠀⠀⢠⡿⠶⣄⠀⠀⣸⠀⠠⡱⠀⠈⢎⢆⠀⣧⠿⠷⠿⠷⢶⣀⣈⠍⠙⠒⠲⠶⠶⠖⠋⠁⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠻⡼⡄⠀⢘⣆⠈⠳⡮⣷⠤⠖⠋⠉⠁⠀⣼⠀⢀⣿⡆⠀⠑⠀⠄⣆⠀⢀⡟⠦⣄⣀⠠⠴⠖⠉⠉⠙⠲⢦⣀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⣴⡷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠿⠿⣄⣸⣇⣀⣾⠻⣯⡥⢶⣒⣶⡀⢀⣽⠉⠹⢻⠀⠀⠀⠀⢨⠇⠀⡼⠁⠀⠀⠀⠉⠳⢤⡀⠀⠀⠀⠀⠈⠳⡄⠀⠀⢸⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⣿⣦⠀⠀⠀⠉⠈⡿⠁⠀⠀⠉⠉⠑⣀⣿⣿⣿⣤⣴⠿⢧⡀⠀⣠⠎⣠⣾⡥⠀⠀⠀⠀⠀⠀⠀⠉⠂⠀⠀⠀⠀⠀⠹⡄⡀⢼⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢷⣄⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⢀⡼⣿⣏⣿⡍⠀⠀⢀⡽⠚⠉⣉⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢁⣸⠖⠛⡿⢄⡀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⢧⡀⠀⠻⣆⠀⠀⢸⠀⠀⠀⠀⠀⣠⣾⣾⠏⠈⠻⣽⡴⠚⣡⠤⠞⠋⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢚⡟⠀⠀⠐⡇⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠳⣤⡀⠈⠳⣤⡞⠀⠀⠀⣠⣾⣟⡿⠋⠀⠀⣮⠭⣧⠘⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠀⡼⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⠙⠶⢤⣀⣉⣛⣻⣿⠽⠟⠁⠹⡆⠀⠀⠈⠙⠉⢤⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⡰⠂⣠⠞⠋⠀⠀⠀⢠⠇⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢠⣣⠞⠁⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⢾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣸⠁⠀⠀⠀⠀⠀⠀⣰⠏⡏⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⢀⣯⡋⠀⠀⠀⠀⠀⠀⢠⠗⠋⠉⠉⠉⠉⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢨⠇⠀⠀⠀⠀⠀⠀⢀⡿⣴⠃⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣼⠇⠉⠓⠦⣄⣀⡠⠤⠛⠛⠓⠲⢤⣀⣀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⣸⡄⢸⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠠⡏⠀⠀⠀⠀⠀⠈⠛⠒⠤⠀⠀⠀⠀⠀⠈⠙⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⢀⡏⢇⠈⣇⠀⠀⠀⠀⠀⠀⠘⡇⠀⢀⠇⠀⠀⠀⠀⠀⠀⢰⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⠒⠋⠙⣓⡾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⣼⠀⠈⠇⠘⢦⡠⠤⠤⢤⣀⡴⢷⡀⣾⠀⠀⠀⠀⠀⠀⠀⡼⠀⠓⣤⡤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢦⣀⣀⠤⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠧⣀⠀⠀⠀⠙⢯⣠⠿⣙⣓⣚⣿⠇⠀⠀⠀⠀⠀⠀⢠⣇⠀⠀⠀⠉⠙⠻⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠷⢦⡈⠑⡢⣤⣀⣀⣐⣏⣉⣙⣋⡟⠀⠀⠀⠀⠀⠀⠀⢻⡯⡗⢦⣀⠀⠀⠀⠀⠈⠛⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀

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⠀⠀⠀⠀⠀⡠⠤⠴⠶⠤⠶⠦⠦⠶⢖⣻⠽⠛⠩⡹⠿⢿⠿⣶⣔⡶⠤⠤⠤⠤⠄⠀⠀⠀⠀⢀⠀⣀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿ ⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣻⣿⣒⡬⠳⠛⣁⣴⢾⠿⣿⣿⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠛⠿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣼⢡⢏⡞⢿⣄⡾⠻⣅⢰⣆⠐⢮⣿⣷⡈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿ ⠰⣄⡆⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⣿⣟⣥⠖⠛⢦⣤⡽⣟⣿⡆⠸⣿⣿⣿⣤⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⣼⠳⣄⠀⠀⠴⠖⠊⠉⢹⣯⣷⣻⢩⢸⣴⣶⣽⡿⡇⠸⣹⣿⣼⣿⣿⣿⣿⣿⣟⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿ ⠀⠛⠀⠈⠓⢤⡀⢀⣀⣀⣘⣿⣿⣿⣎⠀⠘⢛⠟⠁⢻⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿ ⢠⠀⠀⠀⠀⠀⠙⠻⣍⡉⠻⢁⣿⣿⡾⠃⠀⠀⠀⠀⠈⢿⡟⠉⠉⠉⠉⠙⠻⣿⣿⣿⣷⣌⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡿⠀⠀⠀⠀⠀⠀⠀⠀⡹⠲⣼⣉⢿⣿⢦⣀⣤⠤⠀⠀⣾⠒⠀⠀⠀⠀⠀⠀⠀⣙⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⡇⠀⠀⠀⠀⠀⠀⣀⣶⣪⣾⠃⣿⢻⣿⣷⣭⣀⢀⣠⢾⣿⡄⠀⠀⠀⢀⣴⣾⠟⠛⣻⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⢀⣀⢰⠐⣤⠖⢩⡼⢃⠔⠀⣼⢿⣿⣿⣿⣿⣿⣿⡟⠃⡀⠀⢀⣮⠋⢤⣴⢿⣿⣿⣿⣿⣿⣿⣿⣍⡛⠛⠻⢿⣖⣦⣄⠀⠀⠀⠀ ⡴⢚⣽⠉⢴⠇⠘⣧⠞⢰⠏⣤⣾⣿⣮⣻⣿⣿⠟⢹⡏⠀⠀⠘⢦⣸⣧⣠⣿⣇⡀⠻⣿⣿⣿⣿⡿⣿⣿⣿⣦⣴⡦⠈⣉⠉⠁⢀⣈⠠ ⡴⢻⡂⠈⡈⠀⠀⣻⣠⠴⠚⠋⠉⣉⠉⠀⠀⠀⠀⣿⡄⠀⠀⠀⠘⠟⣿⣿⣿⣿⣿⣷⣾⣿⠟⣥⣾⣿⣿⣿⣷⣖⢍⡀⠂⠀⠀⠀⠀⠀ ⠀⢘⣗⠀⠘⣄⡴⠋⣀⡠⠴⠒⠉⠁⠀⠀⠀⠀⠀⠸⣿⣦⡀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠙⠂⢠⡀⡀ ⣤⡤⠞⢧⣴⣿⠇⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⢯⣀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⠀⣼⡇⢀ ⠋⣠⣔⡽⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⣿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠉⠀⡎⣿⣿ ⣼⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⣘⡿⢀⡞⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠈⠀⠀⣿⣿⣿ ⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⠀⠈⠉⠁⠀⢸⠇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⡀⠀⢀⣾⣿⣿⣿ ⠋⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⢟⠀⠀⠀⠀⠀⠀⠰⠤⠤⣄⣠⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠸⠿⢿⣿⡿ ⠀⢻⣧⣀⠀⠀⠀⠀⠀⠀⣀⡠⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡇⠀⠀⠈⠉ ⠀⠈⢿⣿⣄⣀⣠⣀⣼⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢆⠀⠈⠙⠛⠿⠿⠿⣿⣿⣿⣿⣿⢿⣧⣹⣿⡄⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣳⡆⠀⠀⠀⠀⠀⠀⠈⠉⠻⢿⣎⠻⣷⣿⣿⡄⠀⠀ ⠀⠀⠀⣠⣿⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣿⣿⣿⣿⠀⠀ ⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣆⡄ ⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢻⡜⣿⣆ ⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⣒⢶⣤⣤⣾⣿⣇⣬⠅⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡸⣿ ⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡿⢛⡷⢸⢸⡀⠀⠯⡭⣍⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⢻ ⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣺⣿⢷⡞⣿⠃⢸⠈⠀⣼⠀⠱⣿⡀⠉⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⣾⠷⢋⣽⣡⡿⠘⢁⠀⢸⠀⢸⣿⡄⠀⣻⣷⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢞⡥⠛⠁⢠⣾⣇⣿⠃⣠⠏⡀⠈⢰⡟⠀⢷⠀⣿⣿⡆⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣼ ⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢞⡵⠋⠀⠀⢰⣿⣿⣿⣿⣴⠃⠀⡇⢠⢻⡇⠀⠸⢸⣿⣿⣷⠈⠳⡝⣄⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿ ⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢣⡟⠡⠤⠖⠚⠿⣿⣿⣿⣿⡏⠀⢰⠇⢸⣾⡇⠀⢠⣾⣭⣿⣿⣧⠀⠹⣞⢧⡀⣠⣤⣾⣿⣿⣿⣿⣿ ⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠐⠣⠞⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⡇⠀⣾⢠⢇⣿⠀⢰⣿⡏⣿⣿⣿⣿⣷⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣶⣤⣂⡀⣀⣀⡀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣇⣼⠇⣾⣸⣿⢀⣅⣿⡧⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⣨⣫⣽⣿⣾⣧⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⡶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⡿⠏⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠃⠀⠈⢙⣿⣿⣿⣿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⠀⠀⢀⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⡨⢿⣰⡹⠁⣵⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⠰⠁⢀⡏⠁⠘⠉⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⢸⡇⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⠁⠀⠙⢄⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⡸⡇⠀⠀⠀⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⢸⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⢸⠀⠀⠀⢰⠃⣧⠀⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⢀⡞⠁⠀⢸⠀⠀⢲⡀⠈⣧⠀⠀⠀⠀⡏⠀⠀⠀⡇⠀⡗⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠁⠀⠀⠉⠑⠤⣰⠏⠀⠀⠀⢸⡄⠀⠀⢇⠀⢸⡇⠀⠀⢀⡇⠀⠀⠀⡇⢰⠃⠀⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⢸⠁⠀⠀⢸⠀⢀⡇⠀⠀⣾⠀⠀⠀⢀⣧⡾⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⡼⠀⠀⠀⡘⠀⢸⠇⠀⢀⠏⠀⠀⢀⡼⡹⠁⠀⠀⠀⣀⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⢠⣾⠁⠀⠀⠀⠀⣸⠗⠀⠀⣴⠇⢠⡟⠀⠀⡼⠀⠀⢀⠇⢰⠃⠀⠀⢠⡾⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⡰⠋⠈⠀⠀⠠⢔⣻⡃⠀⣀⠞⠁⣠⣵⣇⡀⣰⠃⠀⠀⠸⣴⠇⠀⠀⠀⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⠞⠀⠀⠀⠀⠀⠈⠉⠁⠀⠉⠉⠉⠛⠤⠤⠛⢻⢿⡀⠀⣀⣰⠏⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡏⠀⠀⠀⠀⠀⠀⣠⠖⠏⢳⡀⠀⠀⠀⠀⠀⠀⢸⣾⢻⡷⢶⠇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⢰⣧⣶⡞⣿⡇⠀⠀⠀⠀⠀⠀⠀⠉⠀⢠⡏⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡇⠀⠀⠀⠀⠀⢠⣿⣿⣮⡀⡟⠰⠠⠊⠉⢦⡀⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣼⢿⣿⣷⣭⡃⠀⠀⠺⠗⠀⢳⢆⢀⡴⣹⠁⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⢳⣦⣄⠀⢀⠁⠀⠈⠙⠋⠐⡇⠀⠀⠀⢀⡞⣨⠏⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣹⣷⣄⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡞⣠⠃⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣟⣿⠓⠀⠀⠀⠀⣰⣿⠀⢀⣾⣲⠃⠀⣸⠀⢀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣻⣋⡀⠀⠀⠀⣠⣿⡟⢀⠎⢘⡇⠀⢰⡇⠀⢸⡄⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣊⣥⣾⠁⠀⠀⣴⡿⠉⢹⠏⠀⣼⠀⠀⠘⡇⠀⠈⠓⠀⠀⠀⠀⢰⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢽⣧⣴⠒⠉⢹⡝⠀⣸⠀⣰⢿⠀⠀⠀⠸⣦⡀⠀⠀⠀⠀⠀⠸⡷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠉⠉⠁⣰⠇⠀⠀⠀⠀⢰⠏⠳⣄⠀⠀⠀⠀⠀⠉⠙⢆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⢠⠏⠀⠀⠀⠀⢰⡟⠶⠺⠿⢷⣄⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢀⣠⡞⠀⠀⠀⠀⠀⡟⠁⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠱⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⢀⣀⠴⠋⡽⠁⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠱⢄⠀⠀⠀⠀⠀⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠉⠉⠀⣰⠃⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⡬⠑⢄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⠀⢸⡇⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀⠀⠀⣠⠔⠊⠁⡀⠀⠀⠉⠲⣔⠒⠈ ⠀⠀⠀⠀⠀⣀⡤⣴⠋⠉⢸⣆⠈⠳⣄⠀⠀⠀⡜⠀⠀⠀⠀⠀⠉⢻⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⢀⠇⠀⠀⠀⠀⢀⡭⠞ ⠀⢀⡴⢾⡽⣶⣿⣿⡄⠀⡜⠈⢳⣎⠭⠷⠚⢰⡇⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⡁⠀⠀⠀⣀⡠⠊⠀⠀⣀⡴⠚⠁⠀⠀ ⠀⣿⡄⠀⠙⠿⣿⣿⣿⠎⠀⠀⠀⠘⣦⢀⣀⡼⣧⠀⠀⠀⠀⠘⠤⠄⠀⠀⠀⡰⠁⠐⠚⣉⣀⡠⠴⠖⠛⠛⠲⠦⢤⣀⣀ ⠀⠹⣝⠀⠀⠀⢹⣟⠁⠀⠀⠀⠀⠀⠈⡟⠻⡬⠿⢷⣄⡀⠀⠀⠀⠀⣀⡤⠼⠗⠒⠛⠛⠛⠓⠷⠶⣦⡤⢤⣀⠀⠀⠀⠀ ⣀⣤⣾⠂⠀⠀⠀⠈⣀⠀⠀⠀⠀⠀⣰⠃⠀⡇⠀⠀⠈⣉⡿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢮⣛⡿⣦⣄⠀ ⣾⡏⠀⠀⢀⣶⣄⠀⠀⢯⢶⡶⣖⡒⠁⠀⠀⣷⣤⡴⠚⠁⣀⣀⣠⡤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠙⠽⣿⣦ ⠘⡇⠀⢀⣾⣿⣯⣇⠀⠈⣷⣍⠂⠀⠀⠀⣠⣿⠽⠚⠓⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣋⠑⢲⠏ ⠀⢻⣄⣿⣿⢿⣿⣷⣀⣥⣿⣏⣷⣤⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣞⣷⠿⠟⠋⠀ ⠀⠈⣻⡈⠻⠶⠦⠭⠿⠿⠛⠉⠈⠉⠉⠉⠉⠓⠒⠒⠶⠦⠤⠤⢄⣀⣀⣀⣀⣀⣀⣀⣀⣀⡤⠴⠶⠟⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠉⠉⠛⠒⠶⠤⠤⠤⠽⠶⠶⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠴⠒⠚⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠘⠀⠀⠀⢈⠛⠾⡖⠿⠀⠠⣌⡙⣮⣆⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⢹⡄⢈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠎⣀⣠⣧⠖⣫⠽⠛⠉⠉⠙⠓⠦⣄⡀⢠⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢎⣀⡴⠺⠯⠤⠄⢀⣀⡀⠀⠀⠀⠈⠙⣼⡰⠁⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣶⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡿⡯⢋⠈⠓⠦⢤⣠⣤⡀⠙⣄⠀⠀⠀⠀⢹⡁⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⡿⠞⡀⠈⠻⢶⣤⣤⠀⠙⣿⣆⠈⢣⡀⠀⠀⢨⣷⣄⡀⠀⠀⠀⠀⣰⢫⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⠀⠀⠀⠀ ⠀⠀⢠⡇⠐⣷⠤⣀⠀⠙⠺⣧⡀⠈⢮⡙⠒⠛⠀⠤⡟⣿⣿⣍⠙⠂⢀⣴⡟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⡇⠀⠀⠀⠀⠀ ⠀⠀⣼⣇⠀⢿⡀⠈⠓⠤⣄⣀⠉⠒⣦⡽⠆⠀⠀⠀⠀⠻⣿⣿⣇⣰⣿⡟⠀⠾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠻⢄⡇⠀⠀⠀⠀⠀ ⠠⢶⠟⠙⢆⡀⠙⢦⡀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠄⠀⣠⢉⣿⣿⡉⠉⠁⢦⠀⠃⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⠀⡇⠀⠀⠀⠀⠸ ⡴⠋⠀⠀⠀⠉⠲⠤⠽⠄⠀⠀⠀⣀⣄⣀⣀⣴⡾⠶⠞⠻⡟⠛⢻⣷⣦⣀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠀⠀⣰⡇⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⣠⣀⡤⠖⠚⠉⠁⠀⠠⠤⠤⠄⣀⡀⠀⠙⢦⡀⠙⣿⣿⡇⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⣠⡏⡇⠀⠀⠀⠀⠀ ⠀⠀⣀⡤⠴⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠢⠬⣉⡙⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⢹⡁⠀⠀⠀⠀⠀⡤ ⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⣘⡗⣤⣄⣀⣀⣠⡴⠞⠋⠀⠀⠈⡇⠀⠀⠀⠀⢰⠁ ⢁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⢿⣿⠿⢿⡿⣅⣀⡀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⣿⢀ ⠀⠈⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠛⠁⢸⣿⠈⠘⢷⣜⣛⡿⠟⠛⠛⢻⡿⠁⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣻⠿⠁⠀⠀⠀⢸⡈⠀⠀⠈⢧⡉⠁⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⢹⣦⣀⣀⣀⡀⠀⠀⢀⣀⣀⣀⣀⡠⠤⠶⠚⣽⡗⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⣸⡋⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣏⢩⣭⡭⠍⠉⠉⠉⠉⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣞⠉⠛⠂⠀⠀⠀⠀⠀⣿⠀

⠈⠱⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠈⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠘⣿⠙⠻⣍⠉⠙⠲⠦⣄⡀⠀⢻⡀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠹⣆⠀⠈⢳⡄⠀⠀⠀⠈⠓⢾⣽⣦⣄⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠘⢧⡀⠈⣙⢦⡀⠀⠀⠀⠀⠈⠛⠯⠷⣦⣄⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠄⠀⠀⠀⠻⣦⡉⢈⣻⣤⣀⣀⡀⣀⣀⣠⣦⡆⠉⢳⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠐⠀⠈⠙⢷⣦⣤⣍⣻⠿⣿⣾⣿⡇⠀⢀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠊⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠉⠳⣾⣏⠀⠀⠉⠙⠃⠀⠸⡛⢻⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣀⠀⠀⠀⠀⠀⡿⢿⣦⡀⠀⠀⠀⠀⣠⣷⣼⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⣀⠀⠀⠀⢹⡀⠉⠻⣶⣦⢤⣄⣨⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣏⠉⠉⠛⢦⣇⡀⠀⠈⠻⣽⣟⠿⣧⣀⡤⠶⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⡷⠀⠀⠒⠫⠝⠒⠦⠀⠟⠛⠋⢁⣀⠀⠀⠘⣷⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣤⣾⡗⠀⠀⣰⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⣤⡤⠖⠀⠀⠀⠀⠐⢤⣀⡀⠀⠀⣨⣿⠁⢰⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣅⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⡉⣽⡇⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⠤⠤⠠⠄⣀⣀⣀⠀⠈⢿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠉⠙⠺⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⣽⠂⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⣿⠃⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡶⢶⣾⡷⣶⣄⣤⣶⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡷⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡑⢶⣛⣧⡿⢷⣭⣾⠛⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢋⡞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⠟⢿⣧⣶⢿⣿⣻⣿⠿⠿⠒⠒⠀⠀⢀⡀⠀⠀⠀⠀⢀⣴⠾⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡄⠀⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⠀⠀⢼⣿⣥⡽⠟⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠲⢿⣟⣅⣰⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢧⣔⠀⠈⠉⠛⠲⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠶⠛⠁⠀⠀⠀⠀⢸⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⢤⣄⣀⣀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡴⠾⣯⣶⠂⠞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠈⠉⢉⢉⢉⢉⠉⠉⠀⣀⡀⠀⡟⠙⡧⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀

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⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠ ⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾ ⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠟⠋ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣀⣠⠶⣯⡟⠉⠐⣽⡏⡉⠲⣄⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣾⣿⠿⠛⠀⠀⠀ ⣿⣿⣤⣤⣤⣤⡶⢶⡾⠟⡉⣿⢂⠙⢷⣶⣿⡿⣁⣁⣀⣨⣝⡦⠄⠀⠀⣼⣯⡀⠀⠀⣀⣤⣴⣶⣶⠿⢿⢿⠿⠷⠚⠉⠀⠀⠀⠀⠀⠀ ⠉⠉⠉⠉⠉⠡⠞⠉⠀⠀⠹⣜⣪⣶⣿⡿⠛⠉⠁⠀⠀⠀⠀⠉⢕⠲⣴⣿⣾⣳⣶⣿⣿⢍⢹⠟⠁⠐⢸⡸⡇⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠆⠀⠀⢀⣤⣶⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠿⠿⠏⠻⣿⣏⣀⣀⣼⣀⣠⣤⣤⣷⣷⣶⣿⣿⣷⣶⣶⣤⣄⣀ ⠀⠀⠀⠚⠀⢀⣶⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⡿⠿⠿⠿⠿⠿⠛⠋⠉⠈⠉⠛⠿⣿⣿⣿⣿⣶ ⠀⠀⠀⠀⣤⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⡀⢠⠆⢀⡆⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿ ⠀⠀⣠⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢋⡼⠁⡞⠀⢸⡅⠀⠀⠀⢸⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⣠⣶⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⡇⠰⡀⠀⢼⡇⢠⠀⠀⣸⡇⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣨⡁⠀⣼⡧⠈⠀⣰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣯⣴⣿⣿⣤⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣟⠿⣿⣿⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣁⠀⡿⠛⠉⠀⠰⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣌⢿⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠚⠛⣶⠇⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣭⣿⣿⣾⣭⣍⣉⣙⣛⣛⠒⢒⣒⠶⠚⠧⠀⠉⠰⢚⡵⠃⢀⣀⡠⠀⠀⠀⠈⠻⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠛⠻⠿⣿⣿⣿⣿⣷⣾⣯⠭⢭⣙⡛⠛⠛⠿⠿⣷⡶⠶⣦⣤⠤⠤⣀⣐⠒⠒⠒⠀⠼⣿⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠹⣿⣿⡻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡇⠹⣿⣷⡞⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠜⠿⣿⠿⡄⠀⠨⢿⣶⡟⠟⡿⢻⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣶⠄⠀⠀⠀⠀⠈⠓⠃⢠⡇⠀⣿⣿⣿⣿⣿⡇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⠙⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⣤⣿⣿⣿⣿⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢀⣿⣿⣿⣿⣿⣿⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡱⠦⣀⠀⠀⠀⠀⣠⠶⠳⠾⣿⣿⠟⠛⠏⣿⣷⡎⠀⠀⠐⣀⠤⠀⡀⠀⠀⠀ ⠻⠁⢀⡠⠉⠘⠳⡼⠁⢆⡀⠀⠀⠉⠲⠄⡀⠈⠢⠉⢆⡀⠀⠀⠀⠀⠈⠂⠀⠀ ⢀⠔⠉⠀⠀⡄⠀⠣⠤⠄⢉⠁⢐⠦⠀⠀⢬⡗⠀⠑⠌⢟⡒⠒⢄⡀⠀⠀⠀⠀ ⠉⠒⠤⢀⠀⢳⠢⠤⠤⡵⠋⣠⠁⠀⠀⢸⠉⠪⢣⣦⡀⠚⢏⠉⢩⠠⠈⠁⠀⠁ ⠀⠀⠀⠀⠉⠒⠧⡀⢎⡠⠊⣥⠘⡀⠀⠆⡠⣂⣉⠉⢺⡶⠼⡄⠀⠑⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠺⢄⠀⢹⠀⢁⣰⠪⠤⠤⠀⠱⠄⢱⡤⣸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠫⣉⢡⠆⠀⠀⠀⠀⠀⠀⠈⢷⣈⢇⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⢣⢻⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠣⣦⡈⢦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢻⣿⡜⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠟⠸⠿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠁⠀⢀⠉⠁⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀

⠀⠀⢁⠀⡔⠁⠀⠀⢠⡇⠀⠀⠀⠀⣄⠀⠀⠀⢁⡀⠂⠀⠀⠉⢷⡀⠹⣿ ⠀⠀⠀⠡⣣⠀⠀⣠⣿⠁⠀⠀⢀⡾⠾⣦⠀⠀⠈⢿⣹⣗⠲⣄⣤⣷⠀⢹ ⠀⠀⠀⠀⠙⢇⠐⣿⠃⠀⠀⢠⡿⠟⠩⣛⡆⠀⢀⠈⢇⠀⠑⠬⠭⣿⠆⠈ ⠀⠀⠀⠀⠀⠈⡄⢁⠀⠀⢠⡿⠂⠑⠲⠜⢹⠀⠀⠃⠈⡄⠀⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡸⠀⠀⢾⠁⢀⠃⠀⢰⢲⠀⠀⠀⡰⠱⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣃⢀⣴⠏⡠⠀⠀⠀⢈⣹⠀⠀⣠⠁⠀⠀⠀⠀⠀⠀⢀ ⠂⠀⠀⠀⠀⠀⣿⣾⡡⠊⠈⠀⠀⠀⠀⠚⣵⣶⡴⡝⠀⠀⠀⠀⠀⠀⠀⣼ ⠀⠀⠀⠀⠀⠀⡏⠀⠀⡄⠀⠀⠔⡠⠁⠀⡛⠉⡐⠀⠀⠀⠀⠀⠀⠀⣼⣿ ⠀⠀⠀⠀⠀⠀⠀⢠⡄⣅⣼⡬⠊⠂⡠⠊⠀⠄⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⡄⠢⢹⡿⠁⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢡⠀⠄⡡⢊⠤⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠡⢴⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸

⠀⠀⢀⠀⣀⠀⠀⢀⡴⠀⠀⠀⠀⠀⠁⠈⠢⡀⠀⠀⢀⠄⠂⢉⠠⠂⠀⠀⠀ ⠀⠐⣯⣠⡿⣤⡴⢻⣤⠀⠀⠀⠀⢠⠀⠀⠀⠈⠠⠄⠁⠀⠔⠁⠀⠀⠀⠀⠀ ⢠⣾⡏⢿⣦⣼⡿⣾⠈⠳⣄⠀⠀⢸⠀⠀⠀⠀⠀⠠⢂⠄⠂⠀⠀⢀⡄⠀⠀ ⢸⣿⣷⣯⣼⣿⣇⢺⡄⠀⠙⢷⣄⣈⠀⠀⢀⠂⠀⠗⠁⠀⠀⠀⠀⡌⠀⠂⠀ ⠀⡽⠋⠟⠃⢀⣿⡞⠁⠀⠀⢼⠫⢦⣀⡀⢘⡀⠈⠀⠀⠀⠀⠀⡘⠠⠂⠀⠀ ⠀⠴⠶⠘⠒⢈⣿⠃⠀⠀⠀⡠⠒⠉⠀⠀⠀⠈⠁⢀⠀⠀⠀⢐⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠔⣿⣷⣄⣀⣤⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠈⠀⠀⠈⠢⠀⡀⠀ ⠀⠀⠉⢹⢣⣿⣿⣿⡿⠁⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠆⠀⠂⠀⠀⠀⠁⠐⡀ ⠀⠀⠀⠈⠺⡇⣿⡟⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠘⠀⠠⠀⠀⠀⠀⠀⠀⠡ ⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⠃⠀⠀⠀⠀⠀⠂⠀ ⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠚⠂⠈⠉⠉⠀⠐⠂⠤⢀⡀

⠀⢀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⡶ ⠔⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⢸⡟⢶⢚⣃ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⢸⣛⢚⢼⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⣠⡄⠀⠎⠀⠀⠀⠀⣸⠧⢸⠘⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠤⣚⡿⠋⠈⠀⠀⠀⠀⠀⡟⣴⣤⠐⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⢀⣷⣾⠀⠀⠀⠀⠀⢠⣇⠉⣹⢀⣚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡛⠏⠁⠀⠀⠀⠀⠀⣼⠙⡍⢻⢠⣭ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⣸⢉⢸⢠⢸⠨⠚ ⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⢠⡟⡀⠬⠼⠼⠧⠿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢄⠂⢄⠀⠀⠀⡠⠔⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⣠⠊⡀⠴⠦⠐⠱⠤⢊⡊⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠈⠂⡀⠉⠐⠀⠀⢄⠀⠀⠠⡈⠉⢢⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠈⠄⡠⠀⡄⠀⠑⠀⠀⠐⢠⠀⣯⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⢆⠀⠜⡀⢸⢠⠀⢣⢀⠀⢢⣾⣷⠋⠦⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠏⢄⡌⢠⡇⠺⠄⠂⠤⠛⣹⣿⢛⡇⠢⢄⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠊⠀⢸⠑⠸⠮⠭⣅⠃⠀⠀⠻⠓⠁⡉⠢⡀⣾⠀⠀⠘⠀⠀ ⠀⢀⠔⢁⠊⠔⠁⣷⠀⢃⠀⠈⠀⠠⣴⠂⠀⠠⠃⡆⠈⢇⠠⢰⡦⡘⠀ ⢀⠆⠠⢪⡎⠀⠀⠈⠢⡀⠑⠄⠀⣀⠠⠄⡖⠡⡮⢠⢿⣊⡆⠦⠞⠃⠈ ⠸⡄⠀⠸⠆⠀⠀⠀⠀⡸⠆⡘⠉⡄⠀⠀⣰⡑⣡⢂⡴⠅⠊⠉⠁⠀⠀ ⠀⠑⠮⣢⠙⢄⠀⠀⡎⢀⡪⡀⢀⠧⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡆⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⡇⠸⡵⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣏⣤⣷⣶⣷⣼⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠿⣿⣿⣿⣿⣷⡄⠀⠐⠄⣆ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⣹⣧⣤⣿⣿⣿⣿⣿⣿⡄⠀⢠⡄ ⠀⠀⠀⠀⠀⠘⠛⢻⡿⣓⣻⡉⠛⣻⣟⡩⢿⣿⣀⡴⡼⡎⠀ ⠀⠀⠀⠈⠁⢀⠀⠈⢳⡉⠉⠂⠀⠪⠿⠇⢴⠟⡡⠐⠂⠁⠀ ⠆⠀⠀⠀⠀⠀⠑⠀⠀⠉⠒⠞⠀⠌⠂⡄⠁⠀⠀⠀⠀⠐⠀ ⠘⣀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⢀⡀⣰⠃⠚⠚⠁⠀⢀⠃⠀

⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⢻⢿⣿⣿⡼⢧⡀⠀⠀⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿ ⡏⣿⣿⣿⠿⠟⡻⢷⣶⣶⣶⣞⣩⣿⠋⠃⠀⢸⢳⣄⡘⠛⠛⠛⠻⣿⣿⠃⣿⣿ ⠇⠙⠉⢀⣴⠕⠀⠀⠀⠀⢿⡈⢢⣷⠀⠀⠀⣿⣜⡠⠊⣽⡏⠉⠉⠀⠑⢄⠉⠙ ⠀⠀⡰⠛⡅⠀⠀⠀⠀⠀⢘⡏⠪⣿⠉⠀⢺⣿⠿⣄⢴⣿⠀⠀⠀⠀⠀⠈⡷⡀ ⠀⡜⢱⠁⠀⠀⠀⠀⠀⠀⠆⣿⡖⣿⣏⠑⣾⣿⠛⠥⢸⠇⢃⠀⠀⠀⠀⠘⠠⢰ ⠰⣄⡀⠀⠀⠀⠀⠀⠀⢸⠀⠏⢷⡈⣿⢠⢁⣹⣄⣠⢿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⢣⢻⠦⠀⠀⠀⠀⠀⠀⠈⡇⠈⢄⣳⣿⡏⢸⡇⣼⢥⠃⠀⡘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠈⢪⡙⡷⢾⢟⠗⠁⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠑⠀⢏⢺⡣⡿⠀⡠⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢀⠊⠁⠈⠑⡌⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⢌⢢⣤⣶⢚⡠⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠉⠀⠀⠀⠈⠑⢖⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣄⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢠⠖⣄⠀⠀⢘⠁⠀⢡⠅⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⠀⠻⢅⢀⣀⣁⣀⣁⠠⠂⡝⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠀⡇⠈⠆⠁⠀⠀⠈⠑⠎⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠀⣌⣐⠴⠁⢀⠤⢄⠀⠀⣀⢈⣥⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⢂⡇⠀⣧⣀⠀⠶⡤⣤⠤⠆⣰⠥⢼⣿⡐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡞⢸⡄⠀⠱⣄⣀⣄⠜⡋⠀⠪⠝⠐⢫⠆⡇⠈⠄⢀⣀⠀⠀⠀⠀⠀⠀ ⢰⢨⢿⠐⡄⠀⢰⠁⠈⠳⡊⠠⠤⠤⢶⠋⠚⠋⠢⣊⣈⠁⢑⡄⠀⠀⠀⠀ ⠈⡎⡜⡆⠈⠐⢼⠄⠀⣄⠀⠑⠥⢀⠨⠁⠀⢀⢔⠍⢇⠉⠉⠳⠀⠀⠀⠀ ⢠⢠⣧⣷⡀⡈⣸⠀⠀⢸⠀⢀⣤⢀⠃⠀⢧⡡⠁⠀⠀⠡⡀⠀⠃⠀⠀⠀ ⠸⡎⢻⣿⢇⠈⢾⠀⠀⡟⣄⠈⠉⡈⠀⠀⠈⠣⡀⠀⠀⠀⠈⠂⠘⡀⠀⠀ ⠀⠹⡟⢿⡩⢆⠸⠠⡼⡏⢼⠐⠒⡟⠔⢀⡠⠀⠠⢕⡶⡤⣤⠀⠱⣡⠀⠀ ⠀⠀⠙⠀⠙⠲⣧⡀⠀⢀⠠⣇⠀⠣⠀⠀⠀⠀⠀⠀⡇⠀⢏⢣⡪⠚⢆⠀ ⠀⠀⠀⠀⠀⠀⢸⠙⠂⡔⠒⠊⡦⡀⠀⠀⠀⠀⣀⠜⠀⢀⠜⠹⢆⠀⠀⢑ ⠀⠀⠀⠀⠀⠀⠀⡆⠀⢇⠀⠀⢡⠈⠐⠒⠂⠈⠀⠀⠀⠁⠀⠀⠡⠈⠝⠀

⠀⠀⠀⠀⠀⠂⠀⠀⠀⣠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠀⢰⠅⠋⠉⡭⠙⢩⡶⡀⢀⠀⡀ ⠀⠀⠀⠀⠀⠀⢀⠂⣾⢠⡖⢋⣀⣀⣀⣈⢋⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⢸⠀⠹⣿⢿⡿⠁⢶⣿⣿⢾⡄⠄⠀ ⠔⠈⠐⢄⠀⠀⠋⠀⠀⡿⠀⢤⣤⡠⠄⠠⣼⠀⠀⠀ ⡐⡀⠀⠀⠐⠀⣧⠀⠀⣿⠏⠀⡁⠀⢄⢠⠃⠀⠀⠀ ⠃⢡⠀⠀⠀⠀⢯⠄⠀⡰⠀⠀⠀⢀⡌⡘⠀⠀⠀⠀ ⠈⡄⢂⠀⠀⠀⠈⠛⠁⠀⠂⠀⢀⠀⢀⠁⠀⠀⠀⠀ ⠀⠐⡀⠢⠀⠀⢈⡄⠠⠀⠀⠀⠠⠄⠈⠀⠀⠤⠀⠀ ⠀⠀⠡⠀⠀⠂⠤⣘⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰ ⠀⠀⠀⠡⠀⢀⠔⠈⠉⠐⣠⣤⡤⠤⠤⠠⠦⠐⠈⠀ ⠀⠀⠀⠀⠐⠌⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠁⠐⠂⢆⠄⡀⠀⢠⢤⡄⢰⣍⠒⢄⡀⠀⠰⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⡑⠪⣊⡀⠸⠿⠷⠤⠜⠒⠤⣀⠀⠀⢖⢶⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠁⠁⡌⠢⣤⣤⣀⣀⣀⡀⠀⠀⠘⣷⣄⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡿⠋⠀⠀⢸⠋⠀⠀ ⠀⠈⠁⠐⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⡏⠍⠤⡟⠀⠤⣾⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠳⢶⣤⠀⠀⠀⠀⠀⠀⠈⠂⣃⠀⢄⡉⠉⢦⡈⠻⢟⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡄⠀⠀⠀⠀⠀⢠⢷⠃⠀⠀⠉⠐⠳⢄⢀⠅⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⢀⡎⢾⠀⠀⢀⣀⡀⠀⠀⠙⠄⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣛⣂⣀⣾⡾⠜⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢸⠁⠐⣹⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣨⠘⡇⢠⣿⣴⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢿⡄⣣⣼⡞⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣿⡿⠛⠉⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠤⣿⠿⣧⣐⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠋⡰⢹⠠⢧⣽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠀⠀⠉⠀⠀⣀⢄⣀⣀⣀⣀⣀⣀⣴⣀⠀⠀⠀⠀⠀ ⣄⣀⣠⠀⠀⠀⠀⠀⠀⢀⣤⣦⣤⡀⠀⣿⣶⣷⣾⠷⠷⣿⢶⣿⡗⠂⠀⠀⠀⠀

⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⡟⣿⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠈⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⡤⠀⢠⠀⢸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠄⠀⠀⢀⡴⠋ ⠉⠢⡀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⡆⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀ ⡀⠀⠙⣆⠀⠀⠀⠈⢳⡀⠀⠀⢀⠐⠋⠀⠀⠀⠀⠀⠀⠀⣠⡾⡋⠀⠀⠀⠀⠐⠃⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠉⢷⡀ ⠹⣄⠀⠈⢧⡀⠀⠀⠘⣷⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣨⡼⢫⠔⠀⠀⠀⠀⠀⠀⠈⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⣼⠁ ⠀⠈⢦⠀⠀⢳⡀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⣀⡶⠋⠀⣡⠀⠀⠀⠀⠀⢰⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣆⠀⠀⠈⠳⣄⠀⠀⠀⠀⣼⠃⠀⣰⠃⠀ ⠀⠀⠈⣧⠀⠀⢻⠀⠀⠸⣇⠀⠀⠀⠀⣀⡠⠞⠁⠀⡠⠎⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠀⠈⠳⢄⡀⠀⣿⠀⢀⠃⠀⠀ ⠀⠀⠀⠘⡇⠀⠈⢷⡀⢰⡏⠀⣠⡴⠚⠉⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠈⠙⢦⣹⡄⣼⠀⠀⠀ ⠀⢀⠀⠀⢸⡄⠀⠘⣇⢨⡿⠋⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠹⣄⠀⠀⠀⠀⠈⠳⣄⠀⠀⠇ ⠀⠀⣦⠀⠈⣷⠀⠀⣸⠟⠀⠀⠀⠀⠀⢀⣤⡦⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠢⠘⢧⡀⠀⠀⠀⠀⠈⠳⣄⠀ ⣄⠀⠸⡇⠀⠹⣠⠞⠁⠀⠀⠀⠀⢀⣤⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⣤⠀⠀⠀⠀⠀⠈⠓ ⢸⡄⠀⠳⣤⡞⠁⠀⠀⠀⠀⣤⣸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⣧⠀⣴⠏⠀⠀⠀⠀⠀⣠⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢈⡼⠁⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⡇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⠟⠀⠀⠀⠀⠀⠀⠾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠋⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⣶⠀⠀⠀⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⢻⡇⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢃⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠁⠀⣾⡇⠀⠀⠀⠀⠀⠀⠻⡆⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠸⠀⠀⣿⡇⠀⠀⡇⠀⠀⠀⠀⠻⡆⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⠽⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣭⣳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⣿⡿⣻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠙⠛⠿⢶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⡿⠿⠛⠛⠛⠛⠳⠶⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶ ⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠶⠦⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡴⠶⠟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠓⠒⠦⠤⠤⠤⣤⣤⣤⣤⣤⡤⠤⠤⠶⢶⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⣀⣀⠀

⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠸⠋⠀⠀⠀⠀⠡⡀⠀⠀⠈⢢⡀⠀⠀⠀ ⠀⠀⠡⡀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⡇⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠑⠆⢀⠀ ⡈⢂⠀⠐⡀⠀⠐⠁⠀⠀⡠⠊⠀⠐⠀⡇⠀⠀⠀⠀⠀⠄⠈⠄⠀⠀⠀⢀⠞⠂ ⠈⠀⠡⠀⢀⠀⠀⠀⡠⢊⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⠡⡀⠑⢄⠀⠈⠠⠃ ⠀⠘⡄⢁⢸⠄⠂⠁⠀⡄⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠑⠢⡀⠀ ⡀⠆⠀⡠⠃⠀⢀⠴⠊⠀⠀⠀⠀⠀⢸⣿⡇⠘⠀⠀⠀⠀⠀⠀⠑⠑⠀⠀⠈⠢ ⠁⢨⠊⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡔⠁⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠂⠀⢸⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⢸⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠓⠶⠤⢀⣀⡀⠀⠀⠀⣀⣀⠤⠶⠞⠛⠛⠒⠲⠤⠀⣀⣀⠀⠀⠀⣀⣀⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⢿⡇⠀⠀⣀⣸⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡟⢸⣣⣿⣧⣻⡿⠷⢽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⠋⠀⢸⠏⣿⠈⠳⣽⣦⡀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡴⠖⠒⠒⠂⠀⠀⠀ ⠀⢰⣾⠃⠀⣠⠞⢠⣿⡆⠀⠀⠙⢷⡤⣄⣉⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠖⠛⠃⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⡿⠀⠀⠁⣠⣾⠿⣷⡀⠀⠀⠀⢳⠀⠈⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣇⣀⣀⣸⠋⣠⣤⣿⣷⣠⠀⠀⣸⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠟⢀⣀⣠⡏⡼⣽⢻⡌⢿⢿⠿⠼⠋⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⡀⣀⣠⠤⠤⠶⠛⠒⠶⠦⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⢳⡞⠉⢀⣽⠀⣿⣿⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠾⠓⠉⠉⠀⠀⠀⠀⠀⠈⠉⠙⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⡀⠀⠀⠀ ⣾⠀⢸⡿⢻⢀⡿⠛⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⠶⢤⣀⠀⠀⠀⠀⠀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⣀ ⠃⠀⠈⢷⣸⣿⡤⠄⠀⢳⡀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠛⡆⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⢠⡿⠧⢤⣄⣀⠈⣷⠞⠉⠀⠀⠀⠉⢶⠀⠀⠀⠀⠀⠀⠀⠈⠳⣵⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠳⠙⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⢦⠀⢀⣨⠿⠁⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⢹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⢠⠖⣻⣶⣤⣈⣿⡓⠦⣄⣀⠀⠀⠀⠀ ⠀⠀⠀⣸⣀⡤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡟⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⣴⣣⠞⠉⠀⠀⠀⠈⠉⠛⠒⠮⢽⠶⠒⢦ ⢀⡠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠦⣤⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡛⢺⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⠀⠀⠀⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⢶⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣠⠴⠋⠁⠀⠀⠀⠀⠀⣈⠉⠙⠒⠦⣤⡀⠀⠠⡇⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⡤⠖⠊⠁⠀⢷⡘⣦⠀⠀⠀⠈⢧⠀⠀⢀⣠⠴⢻⠃⢠⠞⠁⣠⠞⠉⠀⠀⠀⠀⠀⠈⠉⠓⠢⢤⣀⠉⠳⢦⣯⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀ ⠤⠤⠶⣒⠚⣽⠋⠀⠀⠀⠀⠀⠈⢳⡘⢧⡀⠀⠀⠈⢣⣠⡏⠁⠀⢸⢰⠏⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠻⡄⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⣤⣠⣄⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⢙⢦⡙⢦⡀⠀⠀⠉⠀⠀⠀⣼⡾⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⢻⣸⡇⢹⡳⣦⣄⣀⠀⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡙⠦⣍⡓⠲⠤⢄⡀⣀⣿⡇⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡜⣿⡇⠀⣿⡿⣀⡭⠉⠙⠛⠷⠴⠤⣤⣀⣀ ⠀⠀⠀⠒⠒⠒⠛⠦⢤⣀⠀⠀⠀⠀⢀⣀⣙⢦⣄⡉⠑⠒⠒⠐⠚⢸⡇⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠷⠴⠛⢯⣍⡀⠀⠀⠀⠀⠀⠀⡇⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⣉⣭⠿⠒⠚⠉⠉⠙⠓⠒⠒⠒⠢⢧⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢹⣿⠀⠀⠀⠀⠈⠙⠳⢤⣄⡀⠀⠀⡇⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⠖⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠦⠄⢦⣄⣹⣵⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⣸⣇⠀⠀⢀⣀⠤⠴⠒⠀⣠⡯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣻⣷⣀⡞⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣤⣟⣡⡴⠚⠉⢀⣀⠤⠒⢺⣏⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⡴⡟⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⢀⣼⠁⣱⠴⠿⠗⠒⠒⠒⠷⢿⣍⢻⠒⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡿⠛⠁⠀⠀⠀⠀⣒⡶⠀⠀⠀⠹⣟⡺⢷⡄⠀⢀⣠⠤⠤⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢀⡟⡅⠀⠀⣠⣴⡶⠚⡍⠀⠀⠀⠀⠀⠀⠈⣲⣿⠟⠉⠀⠀⠀⠈⢳⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⢸⢠⠇⣠⣾⠟⠉⠀⣀⣀⣤⣤⣤⣄⡀⣀⡀⣀⢻⡀⠀⠀⠀⠀⠀⣼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠘⣾⣴⣿⣣⣴⣾⣿⡿⠛⢋⣁⣠⣴⣿⣿⣿⣧⡨⢷⠀⠀⠀⢀⡼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠘⢿⣿⠟⣿⣿⣿⠛⠛⠉⠩⣾⣿⣿⡿⣿⡏⢻⣾⡦⠴⠚⠋⠀⠀⠀⠀ ⠀⠀⣠⡤⠒⠲⣄⠀⠀⠀⠀⠀⠀⠀⢸⣽⠀⠀⠀⠀⠀⣾⣆⠉⠛⠙⠀⠀⠀⠀⠻⠿⠭⠽⠀⢧⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⠋⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠰⣯⡟⠳⣔⠲⣴⣖⣦⢤⡤⠂⣀⠤⠤⢾⡆⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡇⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⢸⡇⠀⠀⠀⠀⢠⣧⣤⣶⡄⠉⠺⠯⣾⠥⠖⠉⠀⠀⠀⢨⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡇⠹⡆⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⢸⣷⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀⠀⢀⡀⠀⠒⢤⣤⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣷⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠹⣹⡄⠀⠀⠀⠀⣿⠙⠀⠀⠀⠀⣿⠃⠀⣀⠀⢹⡆⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡄⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⢧⢳⠀⠀⠀⠀⢸⠓⠲⠖⠛⠀⠠⣄⠘⠛⢁⡼⠁⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢧⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⢧⡀⣀⠤⠚⠃⠀⠀⠀⠀⠀⠈⠙⢻⠏⠁⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡆⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠗⠋⠀⠀⢠⠶⠋⠁⠀⠀⠀⢀⡴⠁⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⡄⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠸⠀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⣀⣀⣞⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⡀⠀⠈⠳⣄⠀⠀⠀⠀⣴⠿⢁⡀⠉⠙⠒⠂⠀⠀⠀⠐⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠲⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠈⠳⣤⣀⠀⢏⠀⣿⠃⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⢇⠈⠉⠛⠦⢬⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠗⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠸⡄⠀⣠⠖⠒⠛⠙⠲⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠒⣂⣢⠴⠚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⢳⡞⢁⣀⡀⠀⠀⠀⣀⣀⣨⠭⠿⠿⠿⠿⠛⠛⠛⠛⠛⠒⠚⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣆⠀⡼⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡏⠀⠀⠘⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣠⡇⠀⠀⠀⣧⣀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⣿⣿⣿⠿⢿⡇⠀⠀⠀⡿⠿⠿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⡟⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⠃⠀⣿⣿⣿⣦⣤⡇⠀⠀⠀⣧⣤⣴⣿⣿⣿⠀⠹⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⢻⡏⠛⠆⠀ ⢠⡆⠀⢠⣦⠀⠀⣴⣇⡀⠀⠀⠀⢸⣿⣿⣭⣽⣿⣤⣤⡿⠿⠿⠿⠿⢿⡀⠀⣸⠿⠿⠿⠿⠿⣧⣠⣤⣿⣯⣽⣿⣿⡇⠀⠀⠀⢀⣸⡇⠀⣸⡀ ⠟⠁⠀⠘⢫⠀⢀⣿⣿⣿⣶⣤⣀⣸⣿⠟⠁⠀⠀⠀⠈⠙⢷⡄⠀⠀⠀⢣⣠⠇⠀⠀⠀⣠⠞⠋⠁⠀⠀⠀⠈⠻⣿⣇⣀⣤⣶⣿⣿⣧⠈⠻⠇ ⠀⠀⠀⠀⢸⠀⠸⣿⠛⠿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠁⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠿⠛⡇⠀⠀⠀ ⠀⠘⠀⠀⠈⠀⠒⣿⡀⠀⠀⠈⠹⣟⣿⡟⠲⠶⣦⣤⣄⣀⡀⠀⠘⡆⠀⠀⠀⠀⠀⢰⠃⢀⣀⣠⣤⣤⣶⡶⠶⢺⣿⣻⡏⠉⠀⠀⠀⣿⣀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⣿⡇⠀⠀⠀⠀⠙⣿⣿⣦⣀⠈⠻⣿⣿⣿⠟⢻⡇⠀⠀⠀⠀⢀⣼⡟⠻⢿⣿⡿⠿⠋⢀⣠⣾⣿⠋⠀⠀⠀⠀⢸⡏⣽⠆⠀ ⠀⠁⠀⠈⢃⡀⠀⠛⢻⣄⡀⠀⠀⠀⣿⣿⣷⠈⠉⠓⠒⠺⠦⠴⠞⠻⡆⠀⠀⠀⠸⠟⠙⠒⠒⠒⠒⠚⠉⠉⣸⣿⣿⠀⠀⠀⠀⣀⣾⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⡀⠀⢿⣿⣶⣦⣤⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣤⣤⣶⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠙⠛⠿⣿⣿⣿⣿⣿⡦⢤⣀⡀⠀⠀⠀⠀⣠⣶⣿⣶⣄⠀⠀⠀⠀⠀⣀⣠⠴⣾⣿⣿⣿⣿⣿⠿⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢤⡀⠀⠀⢨⡿⠙⠛⠃⠀⠀⠿⠿⣟⣒⣲⠟⠉⠉⠁⠈⢳⣖⣛⡿⠿⠇⠀⠠⠿⠛⢻⣥⠟⠁⠀⠀⠀⠀⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⣬⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠀⣰⣄⠀⡀⠀⠀⠀⠀⢹⣦⣤⠤⠤⣤⣤⢴⣾⠁⠀⠀⠀⠀⡤⠀⠀⠀⢸⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣻⣿⠶⢷⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⢀⣰⣿⠀⠀⠀⠀⣰⠃⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣿⣇⡤⠞⠋⠉⠉⠁⠈⠉⠙⠿⣷⣿⠟⠋⠉⠀⠉⠉⠙⠛⠦⣄⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣩⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣸⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡇⠀⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⡇⠀⠀⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⣸⡇⠀⠀⢿⡉⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⢸⣧⠀⠀⢸⡇⠈⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⢀⣀⣼⣿⣴⣶⣾⣷⣤⣄⣻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢀⡀⢠⠄⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿⡟⠀⢸⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠘⠃⠠⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⡿⣿⡟⡇⠀⢸⠛⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠈⣹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⠀⣼⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢠⢾⣿⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣀⣼⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡇⠈⣿⣿⣿⣿⠉⠁⠀⢸⡄⠀⣶⣀⡼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⢹⣿⡷⠯⣥⣤⣈⣙⣦⠀⠀⠀⠀⣠⡽⠛⠉⠉⠓⢻⣟⣿⣿⠀⢀⣀⣼⠷⡾⠻⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⣠⠤⢤⣼⣿⡇⠀⢻⣿⣿⣿⠟⡇⠀⠀⢰⠛⣿⣿⣿⣿⡟⠉⠙⣿⣿⡿⠿⠿⠛⠀⢸⡀⣇⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⠀⠀⠀⠀⠉⢻⣶⡤⠬⠭⠭⠴⠧⠀⠀⠰⠧⣌⣛⣛⣋⣁⣀⣴⣿⣟⠀⢀⣠⠴⠓⠚⠉⠉⠉⠉⠉⠉⠑⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⣸⣷⣤⣀⠀⠀⢀⣠⠔⠂⢄⡀⠀⠀⠀⠀⣠⠞⠋⠉⠻⣏⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀ ⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠤⠾⠔⠃⠀⠻⠻⠏⢹⠿⢤⣀⣀⡠⠟⠲⣄⠀⡼⠁⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠀⠀⠀⠀⠀⠀⠀⠘⡄⡇⠀⠀⠀⢤⢀⣿⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⢠⠇⠙⢦⣘⣦⡨⠟⠁⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⣤⠄⢀⣤⡠⠤⣬⠟⠆⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠛⠿⣥⠀⠈⠳⣦⡀⠀⠀⠀⠀⠀⢀⣠⢖⡏⠁⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⣀⡠⠤⠀⣈⡻⣦⡀⠀⢀⡴⠋⣠⠞⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⢀⣰⠋⠀⠀⣀⡴⠟⠷⠾⠛⠋⠁⠈⠙⠓⠶⠯⢄⣸⠁⠀⠀⠀⠀⣹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡍⠐⠺⢍⡉⠉⠙⠒⠲⠯⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠦⣄⠉⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠙⢦⡀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠐⢤⡀⠀⠀⠀⠀⠘⠦⡀⠀⠀⠀⠈⣙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠨⣧⡈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠘⡆⠀⢠⠎⠀⠀⣴⡆⠀⠀⡀⠀⠃⠀⠀⠀⠀⠀⠈⠐⣦⠀⠀⢹⢳⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⡄⠀⠀⠀⠀⣷⡴⠋⠀⠀⣸⢹⡇⠀⠀⢸⡀⠀⠀⠀⠀⢠⡀⠀⡄⢹⣧⡇⢸⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠱⡄⠀⠀⢠⡟⠀⡀⠀⠀⡇⠀⣧⠀⠀⠀⢣⡀⠀⡀⠀⠀⠙⣦⣾⡾⢹⣿⡾⠁⠈⢽⠶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢿⠀⠙⠦⢠⠎⠀⣼⡗⢀⢀⢻⠀⠸⣄⠀⠀⠀⠱⣜⡷⠦⣶⣾⣯⣿⣿⣿⠘⣇⠀⠀⠙⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠘⢦⠀⢀⡎⠀⠀⣿⡇⠈⠻⡟⢧⠀⠈⠓⠶⠦⠼⠋⠁⢰⣿⣿⣿⡏⢉⣽⡀⠈⠳⢤⣄⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢹⠀⠀⣳⢾⢁⠀⠀⣿⠇⣠⣤⣤⣀⣀⣀⡆⠀⠀⠀⠀⢀⣿⣿⡿⢟⣧⠎⢸⣧⠀⠀⠀⠈⢳⠀⢸⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⡜⠀⠠⢋⣾⢸⠀⠀⣿⣶⣤⣄⣶⢤⡀⠈⠁⠀⠀⠀⠀⠈⢿⡹⠿⠛⠁⠀⠀⡏⠓⠦⣀⠀⢸⡀⡾⠁⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⢀⡔⠁⠀⣠⠟⢹⢸⠀⠀⢻⡄⠀⠀⠈⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⡰⢳⢠⣷⡇⠀⠀⠀⠀⢀⠀⠀⣠⡄⠀⠀ ⠀⠀⠀⢀⡴⠋⠀⢠⠎⠀⢀⡼⠃⠀⢸⣼⡀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⢠⣴⢶⣶⠧⠀⠀⠀⠀⣠⠟⠁⢰⠋⠀⡌⢸⣹⡇⠀⣄⠸⣿⣿⣦⡈⣿⠇⠀⠀ ⠀⠀⣠⠟⠀⠀⢠⡏⢀⡴⠋⠀⠀⠀⠀⢷⣧⠀⠀⠈⠳⣆⠀⠀⠀⠀⠀⠀⠈⠉⠛⠁⠀⠀⠀⠀⣰⠏⠀⣠⠟⠳⣤⣧⣀⢸⣧⡀⠉⠀⠛⢛⣧⣿⣅⠀⠀⣄ ⠀⣼⠉⠀⠀⡴⢻⢀⣾⠁⠀⠀⠀⠀⠀⠀⠽⣿⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⣀⢴⡦⠞⠃⢠⣞⣁⡀⠀⣠⣿⡿⠋⠈⢷⠀⣿⣀⣿⡿⠿⠋⠁⠀⠉ ⢸⡇⠀⠀⡸⠁⢸⢸⡏⠓⠀⠀⠀⠀⠀⠀⠀⠈⠳⢦⡀⠀⠀⠘⣦⣀⠰⡶⠖⠋⠉⠁⠀⠀⢳⡀⢠⠏⣼⠃⠀⢨⠟⠁⢶⡴⠒⢾⡄⣈⣁⡈⠁⠀⠀⠀⠀⠀ ⢾⣇⠀⠀⡇⠀⠈⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⢆⠀⠀⡼⠈⠉⣷⠀⠀⠀⠀⠀⠀⠀⣳⠏⡰⠃⢀⣤⠋⠀⣴⢋⣀⡴⠋⠁⠀⠀⠉⠉⠀⠀⠀⠀⠀ ⠈⢿⣄⠀⢹⡀⠀⠹⡸⡄⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠋⠈⢀⡼⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠺⠯⢴⣃⡤⡾⢁⣠⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣷⣄⠳⣄⠀⠘⣝⣄⠀⠀⠀⠀⠀⢀⡞⠀⢀⡴⢺⡏⠀⠀⠀⠀⢨⣧⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠓⠮⣥⣀⡈⠋⠳⠄⠀⠀⠀⠸⣇⣀⠸⢤⡤⠟⡲⠀⠀⣠⠏⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⣧⠼⠁⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣾⣿⣿⣶⡀⢘⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣿⣆⣴⣿⢽⣿⣿⠿⣿⣿⣆⠀⠘⢻⡿⢳⣿⣿⣧⢸⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢌⠻⣿⣿⣷⡌⣧⢽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠟⣉⠈⠛⠋⠀⠈⣿⡽⣷⠀⠈⠁⠀⠻⠟⣯⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⡎⢳⣟⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣾⣿⣿⣂⣼⣦⣰⣍⢀⣾⠀⠀⣰⣿⣿⡄⠻⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⢿⣿⣥⣬⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡻⠿⢿⣿⣷⣭⣈⣿⣿⠀⢀⣿⡿⠋⣠⣶⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣽⣿⣿⠏⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⣏⢻⡶⣤⡀⠉⠛⢿⣿⡇⠀⠘⣧⣤⡄⣿⣿⣿⢝⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣷⢹⣿⡆⠘⣯⡆⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⣿⣿⠾⢿⣿⣶⣤⣼⣿⣇⠀⠀⠻⣿⠇⠘⡿⠁⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⣿⡿⣿⢻⣿⠀⠀⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⡼⣧⣆⣀⣀⣻⣿⡿⠟⠒⣿⠏⠒⠲⣍⣾⣃⣀⡀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⢳⣿⣿⣿⡞⠃⠀⡇⠚⢷⡀⠀⠀⠀⠀⠀⠀⠀⠠⣚⡞⠉⠀⠀⠀⠉⠉⠙⠲⢦⡀⠀⠀⢰⣿⣿⣿⣯⣿⠇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠟⣿⣿⣿⠅⠀⢀⣧⠀⢸⡟⠦⠶⣤⡄⣀⣀⢀⣴⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⡀⠛⠿⢿⣿⣿⣿⢮⣗⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣤⣾⣿⣿⣿⣠⡾⣟⠗⠚⠛⠒⠪⣧⢠⡇⠐⠒⠈⠉⠙⣻⡿⢃⣀⡭⠽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠈⠛⢧⡀⠈⣷⣕⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣥⡶⠿⣿⣿⣿⡿⠛⣡⠂⠁⠀⠀⠀⠀⠀⠈⢻⣇⠀⠀⣄⢠⠀⠙⠉⢯⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠰⣿⣿⡟⢦⠙⠉⠳⡷⣄⠀⠀⠀ ⠀⠀⢠⡶⣯⣴⣿⣿⠀⢀⣿⡿⠉⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠿⣷⡄⠈⠨⣿⣄⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡟⠋⠁⠀⢀⣴⣶⣮⣍⠃⠀⠀ ⠀⢘⣵⣿⣿⣿⣿⡿⣀⣼⣟⠁⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠻⣄⠀⠹⣿⣦⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠹⡄⢀⣤⣾⢟⠟⢿⣿⣆⠘⠀ ⠀⣻⣿⣿⡿⠋⠁⠀⣿⠿⠿⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⢻⣝⣧⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠄⠹⢸⣿⣿⣍⣤⡄⠉⡿⢣⠀ ⣾⠿⠋⠀⠀⠀⠀⣰⠃⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣼⣿⣿⡆⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠉⠋⠻⣿⣿⣷⣾⠃⠀⢢ ⣿⠀⠀⠀⢀⣴⣿⣿⣆⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⣿⣿⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⢀⣀⠉⠛⠋⠀⢠⣾ ⣿⠀⠀⠀⣸⣿⢟⣱⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠙⠛⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⡘⠿⠟⠁⠀⠀⣸⠇ ⡏⠀⠀⠀⣼⣇⣿⣟⠁⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣠⣠⢴⡶⣄⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⢀⣤⣄⠀⠀⢠⣾⡟⠀ ⣇⠀⠀⠀⡿⠿⠃⢸⣠⣤⡄⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣸⣿⢹⣦⣤⡀⠀⠀⠉⠓⠦⠤⢤⣀⡀⠤⠼⠁⢀⣠⡤⠀⣠⣾⢿⢿⡀⠀⢼⡇⠀⠀ ⣿⡀⠀⠀⠀⠀⠀⠀⣿⡿⠷⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡏⣿⣇⠀⠀⠹⡄⢤⡀⠀⠀⠀⠀⠉⠉⣿⠋⠉⣹⡟⠀⠀⣿⡁⠀⢸⣇⠀⠸⣧⠀⢀ ⠸⣧⠀⠀⠀⠀⣠⣶⣿⣿⣦⡀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⣿⣿⡆⠀⠀⢻⢈⣧⠀⠀⠀⠀⠀⣀⣩⡴⠞⢉⡴⡀⠀⢸⣏⣤⣼⡟⠀⠀⠹⣷⡿ ⠀⣿⠀⠀⠀⣾⡿⠋⠀⢻⣏⠛⢦⡀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢰⣿⣿⣿⡀⠀⠘⡿⠃⠀⠀⣀⡴⠋⠁⠀⠀⢀⡾⣤⣀⣄⣀⣿⡿⠟⠀⠀⠀⠀⠀⠀ ⠀⣿⠃⠀⠀⣿⡿⠀⠀⣸⣿⠀⠈⢿⡀⠀⠀⣀⣈⣳⣄⠀⠀⢀⡀⠀⠀⠀⠀⠀⣿⣇⠀⢸⣿⣿⣿⣧⠀⢸⡇⠀⠀⣴⠋⠀⠀⠀⠀⢀⡾⠛⠿⠉⠁⠈⠁⠀⠀⠀⠀⢀⣤⣤⡀ ⣿⠏⠀⠀⠐⣿⡄⡀⠄⣸⡏⠀⠀⠘⣿⡀⣾⡉⠉⠉⣙⠿⣭⣭⠤⠀⠀⠀⠀⠀⢻⣿⣦⠈⣿⣿⣾⣿⡇⣸⡇⠀⢸⠁⠀⠀⠀⠀⠀⡸⠁⠀⠀⣤⣤⡀⠀⠀⢠⣤⣶⡿⠋⣙⣻ ⡏⠀⠀⠀⠠⢿⣷⣴⣾⠟⠀⠀⠀⠀⣬⣿⣯⣤⡤⠾⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⢻⣎⢧⡻⢿⣿⣿⣧⡟⠀⠀⡞⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⢹⣿⡏⠀⠀⢸⡿⠉⠀⣺⣿⢛ ⠀⢀⣤⣄⣀⣀⠉⠉⠁⢀⣰⡶⠚⠋⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣈⣿⣾⣿⣿⡏⠀⠀⠀⡇⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠁⠀⠀⢠⣿⣁⣤⡾⣋⡵⠟ ⣾⠿⣛⢿⣿⣅⡀⠀⠀⢾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡇⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣟⣷⡿⠋⠀⠀ ⣿⠀⠀⠀⠹⣿⡇⠀⢸⡌⢿⣿⡇⠀⣠⣤⣬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠀⠀⠰⡇⠀⠀⠀⢠⡆⡇⠀⠀⢀⣴⣾⣿⣿⠿⠛⢋⣁⣿⠀⠀⠀⠀ ⣿⡀⠂⠀⠀⣿⠀⠀⠘⢷⣄⠉⠁⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣧⣴⣲⣾⣿⠀⠀⣸⣤⡿⠟⠋⠁⣀⣤⣶⡟⠉⢿⡄⠀⠀⠀ ⠙⢿⣶⣤⣴⡿⠀⠀⠀⢀⣽⣷⣄⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⢷⣶⠶⠿⠛⠛⠋⢉⣻⣇⣾⣯⣿⣵⣶⣾⣿⡿⠗⠈⠁⠀⢸⡇⢀⣴⣾ ⠀⠲⢿⣛⣻⡃⠀⠀⢠⣾⢿⠿⣿⣿⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣴⢿⣟⠋⠉⠁⠰⠶⢛⣉⣡⣤⢶⠶⠿⠿⠿⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⣀⣼⣿⡿⠛⠁ ⠀⠓⠬⣿⣟⠿⢿⣿⢾⣿⣶⠶⠮⢿⡿⣍⣻⣷⣌⢿⣿⣿⠿⠿⠿⠛⠛⢋⣉⣹⠦⠜⣇⠀⠒⠉⠛⡉⠉⢉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⣀⣤⣶⣿⡿⠟⠋⠀⠀⣠ ⢻⠁⠀⠀⠈⠉⠃⠓⠠⠤⣠⣤⣦⣤⣠⣈⣿⣯⣿⣿⣿⣟⡛⠛⠛⠛⠉⠉⠁⠈⠀⠀⢻⠒⠚⠀⠀⠀⠀⠀⣀⢀⣀⣠⣤⣀⡀⠀⢀⣠⣤⠶⢿⣻⣿⠿⠛⡋⢁⡀⣀⣀⣀⡄⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢀⠀⠀⠀⢹⡿⠁⠀⠈⢳⠀⠀⠀⢠⠞⠉⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡤⠤⢤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠋⠻⣦⡀⣾⠃⠀⠀⠀⠈⣇⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣏⡀⠀⠀⠈⡷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠈⢻⣿⠀⠀⠀⠀⠀⡿⠀⣇⠀⠀⠀⠀⠀⠘⠢⣄⡀⠀⠀⠀⠀⣀⡴⠉⠀⠈⠉⠳⢤⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣄⣀⣾⠏⠀⠀⠀⣿⠆⠀⠀⠀⣸⡇⠀⠈⠲⣄⣀⠀⠀⠀⠀⠀⠉⠲⢤⡀⠈⠳⣄⡀⠀⠀⢀⡠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣽⠿⢶⣶⣤⣴⡇⠀⠀⣀⣶⣋⣿⡀⠀⠀⠀⠈⠉⠓⠲⢤⣀⠀⠀⠀⠈⠓⢦⣀⠈⠉⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡾⠓⠛⠢⠿⠋⢁⡿⠀⠀⠀⣿⠤⠤⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⣄⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⢀⡼⠁⠀⠀⢀⡧⠤⠤⢴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠶⠖⣾⣿⡁⠀⢀⣼⡏⠳⠦⣤⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠚⠁⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠉⠉⢙⣷⡀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⠉⠉⠛⢯⡉⢿⡙⠛⠛⠃⠀⢀⣀⡤⠴⠒⠒⠊⠉⠉⠁⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⣀⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣹⣧⣄⣀⣴⠋⠙⢷⡄⠤⣤⣄⣀⣠⡞⠁⠀⠀⠀⠀⠀⠀⠈⠈⠙⠛⠒⠲⠖⠋⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣦⣤⣶⣾⣍⡀⠀⠀⠀⢸⠁⠀⠙⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠁⠀⠈⠉⢿⡆⠀⠈⢿⣄⠀⢀⣼⢋⣀⣀⡀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⡔⠀⠀⢀⣠⣴⡶⠿⠛⠋⠉⠀⠀⠀⠀⠈⠉⠙⠻⢷⣦⡀⠈⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢳⡦⠀⠀⠘⣿⡄⣠⣴⣿⠿⠟⠛⠛⠛⠛⠛⠛⠿⣶⣤⣀⠀⠀⠀⠀⠜⢀⣤⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⢀⣽⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢶⣤⣴⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⣠⣴⣶⣤⣀⠈⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀ ⣶⣤⣀⣀⣀⣤⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⢀⣼⡿⣅⡄⠉⠻⣷⡀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⣀⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⢀⣼⣿⣧⣀⣴⣾⣷⣿⣿⡄⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⢀⠠⠂⠁⢀⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢰⠅⠀⠀⠀⠀⠀⠀⢀⣔⣨⠄⠀⣠⡎⠀⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⣠⡾⠋⡙⠀⠚⠛⠂⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⢰⢣⠀⠘⠄⠀⠀⢠⠻⠇⠂⠀⠀⣤⡴⠎⠀⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⣿⠈⢇⠐⢄⠀⠀⠇⠀⣀⣀⠀⠤⠬⠄⠀⡐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠸⣇⠂⠑⠒⠒⠒⡿⠛⠛⣄⣀⠠⠊⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⣇⠀⣰⣜⠀⠀⠀⠀⡸⢀⠀⠀⡏⠀⠀⠀⠀⠀ ⠀⠀⢀⠖⠀⠒⢄⡀⠀⠀⢀⠜⣿⣤⠎⠁⠛⠄⠒⠈⢀⢼⠀⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⡟⢀⡖⠬⠥⠭⠴⣶⠯⠒⠚⠃⠄⢀⠐⢬⣄⣔⠀⢸⠀⠸⠀⠀⠀⠀⠀⠀ ⢀⠎⠘⡵⠀⣀⢤⣶⡲⠃⠀⠀⠀⠀⠀⠀⠉⠳⢿⢍⣢⠤⢀⠀⠈⢱⡀⠀⠀⠀ ⠀⢾⡟⠀⢀⠔⢹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⣌⠁⠢⢥⣀⣎⠗⢆⠀⠀ ⠀⠋⠁⠀⠎⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⢳⡢⡀⢏⠃⠀⡼⠀⠀ ⠀⠀⢀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡙⡄⢸⡤⠾⠷⡀⠀ ⠀⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⣣⠈⢇⠀⠣⠐⡀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢸⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⢳⠀⣠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢲⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡇⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⢒⠒⠢⡄⡀⠀⡠⠂⠁⠀⠀⠀⠀⠀⠀⠁⠢⡀⠀⢀⠠⠤⠀⢤⡄⠀ ⠀⠀⠈⣄⠑⠄⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢨⠂⠀⠀⠔⢁⢾⠁⠀ ⠀⠀⠀⠹⣄⡀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⡰⠁⠀⠀⢀⠔⢃⠎⠀⠀ ⠀⠀⠀⠀⣈⠶⢬⡇⠀⠀⠀⠀⠀⠀⠀⠀⡰⢡⣾⣤⣤⣤⡶⢥⢔⠁⠀⠀⠀ ⠀⠀⠀⢾⡀⠀⠈⢇⠀⠀⠀⠀⠀⠀⢀⢜⡴⡹⣿⡿⢹⡟⠛⠁⠀⣨⡆⠀⠀ ⠀⠀⠀⠀⠁⠒⡲⠘⣦⠀⠀⠀⡠⠒⡡⠣⠁⠚⠛⠟⣏⠉⠺⡋⠓⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⣛⣥⣑⣄⠀⢀⣾⠮⠵⣦⡠⠜⣄⢘⠗⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⠊⠁⠀⠀⠉⠺⣗⠂⠀⣝⡗⠒⢎⠉⠁⠢⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡌⠉⠢⠀⠀⠀⠀⠀⠘⠆⠀⣿⠋⠀⠀⠈⠁⠢⣣⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠞⢱⢀⠀⠈⢄⠀⠀⠀⡀⢸⡼⠁⠀⠀⢀⠄⠊⢩⠹⠡⡀⠀⠀⠀ ⠀⠀⢀⠾⣀⡏⢀⠼⡆⠀⠑⠠⢐⠀⡌⠀⠀⣀⠔⠁⠀⡠⢣⠒⢇⠑⡀⠀⠀ ⠀⡔⠁⠀⠈⠃⡊⣠⡧⠤⠤⢤⡀⢉⣁⡈⠉⠀⠀⠠⢪⣖⠈⢢⢈⡇⠙⠠⠀ ⠰⠀⠀⠀⡜⠀⠉⢿⠁⠀⠀⠀⢱⢸⠀⠀⠉⠁⠒⡠⢄⡄⠑⡜⠋⠀⠀⠀⠁ ⠀⠢⣀⣊⡀⠤⠊⠀⢑⣤⣠⣐⣁⠼⡄⡀⢀⡀⠔⠁⢀⠃⠒⢅⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⢀⠸⠁⠀⢹⠂⢤⠀⠠⠔⠁⠁⢄⠀⠈⠁⠈⠁⠀ ⠀⠀⢀⡀⠀⠤⠇⠐⠒⠒⠒⠊⠀⠀⠈⠁⠘⠐⠒⠒⠒⠀⠤⠧⠀⢀⡀⠀⠀

⠀⠀⠀⠀⠀⠀⡐⡉⠉⠁⠺⡹⢢⣀⠀⠀⠀⢀⠤⠤⠄⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⠇⠀⣧⡦⣦⣠⡐⠒⠲⡥⠀⠀⠀⠈⠁⠂⠀⠀⠙⠲⢂⠀⠀⠀⠀ ⠀⠀⠘⢃⠂⠁⠠⠊⠀⠀⠉⠃⢌⠁⠀⠀⠀⠀⠀⠀⠈⢆⠀⠐⢸⡆⠀⠀⠀ ⠀⠀⢠⠇⠀⠀⠦⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣰⠃⠀⠀⠀ ⠀⠀⢸⢠⣺⠎⠲⠵⣶⠔⢠⠐⠤⠎⠀⠀⠀⡠⡰⠂⢉⢇⠠⠐⠚⣒⠢⢄⠀ ⠀⢠⠂⣿⣳⠀⢀⣾⠛⡷⠸⠇⠀⢌⣄⠀⢌⡞⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠡ ⠀⡇⠀⢸⠟⠗⠈⢛⠓⠁⡏⠀⢆⠈⣿⣰⠊⢄⡀⠀⢀⡠⠪⠁⠀⠀⠀⠀⠀ ⡄⢻⡀⡏⣲⣆⣂⡉⢱⢰⠄⠂⠨⢠⠃⠤⡙⠂⠒⠬⡀⠀⠃⠀⢰⠂⠀⠀⠀ ⠻⡂⠈⢩⠁⠈⠉⣽⣷⠖⢣⠠⢥⠗⠀⠀⠀⠁⠀⠀⠐⠄⡠⣔⠁⠀⠀⠀⠀ ⠢⡘⠦⡘⠀⣠⣾⠋⢙⡎⠃⠈⡆⠀⠀⠀⠀⠀⢀⡠⠂⠃⠀⡇⠉⠁⠀⠀⠀ ⠀⠈⢑⠒⠊⠉⢨⡆⠀⠀⢂⠀⠀⠀⠀⠀⢰⠔⠁⠀⢸⣀⡀⠅⠀⠀⠀⠀⠀ ⠀⠀⡎⠀⠀⢀⢧⠀⠀⠀⠈⠀⡄⠀⠀⠠⠛⠂⠄⡄⠓⠠⠄⣸⠀⠀⠀⠀⠀ ⠀⠰⠀⠀⠀⡘⠌⢄⣀⡀⣰⢀⠀⠀⠀⠸⢄⠀⠀⠀⠀⠐⠀⠺⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢕⠠⣀⠑⣯⣡⡏⠀⠀⠀⣦⣀⠉⠑⠦⡀⠀⠀⠀⠈⠁⠀⠀⠀

⠀⠀⠀⠠⠂⠀⠀⠙⠉⠀⠀⠀⣠⠀⢀⡀⠀⠀⠀⣀⠣⡀⠀⣸⡀⠀⠀⠀⠀⠀ ⠀⢀⣀⠠⣴⢄⣀⣀⠀⢀⣴⡞⠙⣑⠔⠀⠀⠀⠌⡰⠁⣸⣢⣍⡎⢘⠈⠁⠀⠀ ⠀⠀⢀⣼⢁⡾⠋⠉⣹⢻⢯⡇⠸⡟⠀⠀⠤⡎⡔⠁⠀⢻⣷⢻⣷⠀⣱⢁⠀⠀ ⠀⠀⢹⣁⡞⠁⠀⢠⠃⡜⢸⠘⣠⡇⠀⠀⡼⢸⠀⠒⡄⡎⠻⣿⠹⢸⠭⠉⠀⠊ ⣰⢅⢸⣝⡡⠠⢠⣿⢖⠁⣾⡀⠘⣝⠀⠃⣧⠛⡄⠀⢱⡱⡀⢻⠶⡁⠀⠁⠃⠁ ⢡⠸⢌⣇⡀⡗⢯⢻⡜⠀⡇⢇⡤⠋⠀⠀⢻⣢⢛⢼⡀⢻⣽⣌⡇⠑⠦⡄⠀⠀ ⡄⠀⠀⠈⡆⠀⢸⢸⣇⢧⡗⠈⢒⡀⠀⠀⠄⢇⠙⢄⠙⠣⣣⡙⡇⠀⠀⡹⠂⠀ ⣧⠈⠰⠤⣇⠀⠸⠙⣡⣾⢿⣿⣿⡿⣄⠀⠀⠈⢆⡴⣤⠷⠾⠿⣧⠀⣸⠁⢠⣀ ⣷⣿⡍⢿⣷⡈⠒⠧⣟⠱⠞⠻⠙⠄⡆⢱⠤⠄⣈⠣⡀⠀⠀⢠⡉⣱⣡⣤⡾⣿ ⣿⣻⣿⣾⢷⢫⠁⠐⠌⡫⡀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⢀⠂⣠⠹⠧⠻⠋⠀ ⣿⣿⣿⣿⣄⣉⣣⣄⡀⠈⢌⠂⡀⠀⠀⠀⠀⠀⠀⢀⠀⣰⢉⠅⠋⣀⡴⠋⠀⠀ ⠹⣿⡻⣷⣾⡉⠂⠐⠯⡟⠶⢧⢹⡀⠀⡾⠓⠚⠙⠛⡟⡧⠁⡰⠚⢁⢴⡆⠀⠀ ⣶⡵⠉⠀⣠⣞⣄⠀⠀⢺⠷⣦⡷⡽⣄⠁⠀⠀⡀⢠⠀⡑⠝⠮⡏⠀⡼⣷⣴⣷ ⢛⡀⠀⢰⢿⡿⡟⢤⣦⢌⢪⠀⢀⣽⣄⠻⡓⣲⠖⢁⣸⣀⢤⡄⣧⠀⣇⡉⡿⠻ ⢄⠠⠔⡡⣫⡊⡄⣠⣞⣗⣩⢟⠟⡿⡽⣔⢼⡟⣰⣟⣿⣿⣷⣿⣾⡀⣿⠁⠀⠀

ღ╰⋃╯ღ•̥̑ .̮ •̥̑)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⠀⠀⠀⠀⠀⡟⠋⠁⠀⠙⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡰⠟⠁⢹⣗⢄⠀⠀⠀⠳⣄⠀⠀⣀⠗⠁⠀⠀⣠⣾⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠈⡿⢦⠑⢆⠀⠀⠀⠉⠉⠀⠀⣠⠔⠊⣡⡟⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⢠⠁⠀⢣⠀⠛⠉⠉⠉⠉⠙⠛⢦⣄⡴⢻⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠸⡀⢠⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⢸⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠄⠀⠀⠙⠢⣄⣳⠃⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠈⡏⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠞⡏⠀⠸⣏⠓⠒⠇⠀⠀⠀⣰⠁⠀⠉⢦⠀⠀⢀⡴⠋⠳⣿⣿⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠛⢰⠁⠀⠀⣿⣦⡀⠀⠀⠸⠶⣷⢶⣦⠤⢬⡆⠀⣮⠤⠤⢾⣿⣿⡄⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡿⢠⣿⠀⠀⠀⢻⡉⠉⠀⠀⠀⠀⢹⣜⠛⠀⢀⡤⢾⣏⢀⣠⡾⢁⠋⣧⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⢫⡜⣿⡄⠀⠀⠀⠙⢶⣤⣤⣷⣾⠁⠠⣈⠉⠀⠀⠛⠉⠀⠀⣽⣎⢀⣿⡀⠀⠘⡄⣀⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠃⠈⡇⣿⠹⣄⠀⠀⠀⢠⠏⠁⠀⠙⢿⡦⠬⢁⣀⣀⣀⡠⣤⣾⠏⡠⠟⠛⠓⠤⡴⠋⠀⠉⠀⠈⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⡏⠀⣿⠀⠈⠢⡀⠀⢸⠀⠀⠀⠀⠀⠙⠢⣄⣉⠭⠂⣀⣈⣧⠎⠀⠀⠀⠀⠀⣈⣶⡖⡩⠭⠭⢉⣻⡀⠀⠀⠀⠀⠀⠀⠀ ⡏⢸⢁⡆⢹⡄⠀⠀⠈⠑⢺⢳⡀⠀⠀⣄⡀⠀⠀⠑⠤⢤⡀⢀⠎⠀⠀⠀⠀⡤⢊⡤⠚⠻⡀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀ ⣷⠀⠘⢣⠘⣷⡀⠀⠀⠂⢸⠀⠁⠀⠀⣿⡇⠀⠀⠀⠀⠀⠉⡏⠀⠀⢱⣀⠞⡠⠋⠀⠀⠀⠙⢄⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀ ⢻⡆⢢⢿⣆⣿⣤⠒⢦⡀⣼⠀⠀⠀⠀⣿⡄⠀⢠⣾⣷⡆⠸⠀⠀⠀⠘⣿⡞⠁⠀⠀⠀⠀⠀⠈⠣⡀⠀⠀⢱⠀⠀⠀⠀⠀⠀ ⠸⣧⠈⢻⣿⣿⣷⡀⠀⠙⣾⠀⠀⠀⢀⡟⣇⡀⠀⠙⠛⠁⡇⠀⠀⠀⠀⠘⠻⣄⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⡆⠀⠀⠀⠀⠀ ⠀⢹⣆⢸⣿⣿⢷⢣⡀⠀⢸⡀⠀⠀⣾⡷⡘⠿⣆⣀⣀⣸⣇⠀⠀⠀⠀⠀⠀⠈⠑⢦⣄⣀⠀⠀⠀⠀⠀⠑⣄⠸⡄⠀⠀⠀⠀ ⠀⠀⢻⣿⠉⢿⣦⡛⢷⡄⠸⠁⢰⡶⢿⡇⠙⢾⡄⠉⠉⢻⠙⠞⠉⢢⣀⠔⠠⠤⠔⠲⣿⡟⢿⡷⢦⣦⠀⠀⠈⢆⢳⠀⠀⠀⠀ ⠀⠀⠀⠻⡇⠀⠉⠻⣽⣝⣿⠀⠀⠀⠀⢣⠀⠀⣱⠀⠀⢸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠁⣾⠙⢦⣠⠖⡩⠿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⡳⣄⠀⠀⢸⠒⠉⢻⣆⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠈⢦⣴⡷⠋⠀⠀⠙⢄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⠙⠃⠀⡞⠒⠒⠛⢹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⠋⠀⠀⠀⢀⠞⠈⢷⣄⠀⠀⠀⠀⠉⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⢀⠇⠀⠀⠀⠀⡇⠙⠢⣄⣀⣀⣀⣀⡠⢴⣋⡀⣀⣀⠤⠖⠁⠀⠀⠘⡌⠓⠦⠤⡴⠊⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠈⠣⠀⠀⠀⠀⢸⡀⠀⠀⡸⠉⡀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠘⠢⠤⠒⠁⠀⢀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣤⣴⣿⣿⣿⣗⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⣿⠛⢛⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣿⣿⣿⣻⣿⣿⣧⠀⠛⢿⣿⣧⡁⣀⢀⡠⠤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣏⣿⢳⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠯⣉⣤⣼⣿⣿⠿⠉⡀⠀⣠⠖⠛⠟⠻⣭⣀⠀⠀⠈⡆⠀⣀⣤⡀⠀⠀⠀⠀⠀⢀⣿⣧⡿⠋⠙⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⣿⣿⣿⣶⣤⣽⠟⠁⠀⠀⠀⠀⡵⠈⠑⠒⠲⣧⣞⠁⠀⠉⠳⢦⡀⠀⡠⠊⢹⠛⣇⡴⢦⣼⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣻⣿⣿⠋⠀⠈⠁⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⡜⢸⠀⠀⠀⠀⠀⠉⠚⢥⡀⠘⡆⢸⠃⠈⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢰⠁⠀⢧⠀⠀⠀⠀⠀⠀⠀⠉⢻⠇⠀⠀⢰⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠺⣯⡿⠁⠀⠀⠀⢀⣆⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠙⠲⠤⢤⣤⣽⣶⣄⠈⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠋⠉⠉⠒⠒⠶⠭⣉⡉⠙⠛⣶⠶⠿⢶⣶⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠈⡿⢷⣧⠈⢢⣀⠀⢀⡞⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣇⠀⠀⠀⢀⣴⣄⠀⡠⡿⢿⢦⣍⣒⠀⠘⢻⡄⠠⣿⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⠋⠀⠀⢨⣿⠋⠀⠀⠘⠦⣀⠀⠀⠀⠀⠀⠀ ⠀⠙⠛⠛⠛⠋⠀⠉⠙⢇⠘⢾⠙⡍⣿⠆⠀⠈⢇⡀⠸⡀⠀⠀⠀⠀⠀⠀⠀⣿⠋⠀⠀⢀⠞⠫⣀⡀⠀⠀⢀⠀⠉⠳⣦⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣼⠳⠟⠋⠀⠀⠀⠈⢇⠀⠁⠀⠀⠀⠀⠀⠀⢠⡏⠉⠉⠛⠧⣄⠀⠀⠈⠑⣤⡀⠙⠒⣄⣷⣏⣿⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⣀⠴⠛⢧⡀⠀⠀⠀⠈⠳⡄⠀⠀⠈⠻⠷⢦⣸⣧⠾⠏⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⣯⠉⠁⠀⠀⠈⡇⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠙⠦⠤⠤⣼⠇⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠲⠤⠤⠤⠖⠉⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢆⡀⠀⠀⠀⠀⠀⢀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠖⠶⠶⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣯⠟⠲⢤⣀⣠⠤⠤⡤⠾⣿⣟⠒⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢟⠻⢦⡀⠀⠀⠈⣿⡗⣦⡀⠈⠙⠓⢄⡀⠀⠉⣹⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢦⡀⠈⠙⠀⠀⠈⠉⠉⠀⠀⢼⣳⡢⢽⡲⢏⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠦⡀⢀⡀⠀⠀⠀⠀⠀⠀⢪⣦⡄⠈⠓⣭⣓⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡈⠳⢢⣀⠀⠀⠀⣀⠀⣹⣿⣖⠽⠗⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠁⠀⠀⠼⠯⠭⠭⠿⠿⢾⡛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠞⠹⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠉⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡏⢀⡇⠀⠀⣰⠀⠀⠀⠑⠀⢆⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣧⠞⠀⠀⣰⠃⠀⠀⠀⠀⢣⠈⢆⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡞⠉⠀⢀⡔⠁⠀⠀⠀⠀⠀⢸⠄⡿⣆⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡆⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⡼⢰⡇⠙⢦⡀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢤⣀⣀⣨⠓⠤⠤⠤⠔⠋⠁⠘⡇⠀⠀⠙⣆⠀⠀⠙⡄⠀⣰⠂⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠘⣦⠀⠀⢹⣞⣽⣤⣤⣶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⠀⠹⣄⡔⠋⠉⠀⠀⠀⠈⠙⡶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⡏⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠯⡁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢮⡝⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⡇⠀⠙⢦⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⠀⠀⡇⠀⠀⠘⣇⠺⢿⠀⠀⠀⠀⣰⠆⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⣠⢶⠈⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠋⢀⠀⣹⠀⠀⢸⣿⡀⠀⠀⠀⠀⣠⠃⠀⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⢰⢧⣸⡕⠚⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⡔⣸⣄⡏⠀⠀⠈⢳⡙⢦⡀⠀⢠⠇⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠛⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⢧⣇⢻⢾⠁⠀⠀⠀⠀⠳⡀⠈⠒⣺⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠙⣄⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⢀⡤⠀⢀⣰⡶⣾⠯⠤⢴⡶⣻⡶⠊ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢤⣤⣴⣪⣿⣟⢴⣾⠽⢺⠃⠠⠤⠞⢊⣿⠞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠉⠀⠉⢀⣴⣧⢤⣖⡁⣠⣿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣾⣦⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⣊⠽⠛⣲⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠻⣦⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⣡⣴⣺⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠻⡳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣻⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠉⠓⠶⢤⣤⣀⣀⣀⣀⣀⣀⡤⠤⠔⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣁⡀⠀⢸⡟⠁⠀⢱⡀⠀⣠⠊⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢰⠖⠢⢤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠘⢧⣾⠁⠀⠀⠀⡇⠰⠁⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⢠⠔⠫⢤⡀⢀⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⡀⢠⡶⠀⠀⢻⡄⠀⠀⢠⡇⠘⢦⡀⠀⠀⠀⠈⠒⢤⡀⠀⢾⡁⠀⠀⠀⣨⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⡿⢷⣤⣤⡏⠀⢀⣰⣋⣧⠀⠀⠈⠙⠒⠢⢄⡀⠀⠈⠓⠤⡈⠑⠒⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠉⠑⠚⠉⣸⠁⠀⢸⠖⠒⢺⠀⠀⠀⠀⠀⠀⠀⠈⠑⢄⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣤⣀⣠⡴⠃⠀⢠⢼⣁⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⡸⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠖⠚⠳⣆⠀⠀⠀⠀⠀⠀⣠⡤⠚⠳⢶⡒⣿⠓⠶⠟⠀⠀⣀⡠⠤⠄⠒⠒⠋⠁⠀⠀⠀⣀⠜⠁⠀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣈⣧⣀⣠⡞⠹⣦⠤⠤⢄⣠⡞⠁⠀⠀⠀⠀⠈⠈⠓⠒⠲⠖⠉⠀⠀⠀⣀⣠⣤⣤⣦⣤⣶⣎⣁⠀⠀⢸⠁⠙⠆⠀⠀⠀ ⠀⠀⠀⠀⠸⣇⠀⠀⠸⣇⠀⠘⣧⣀⣴⣯⣤⣤⣄⣠⠆⠀⠀⠀⠀⢀⠎⠀⣠⣴⠾⠛⠋⠁⠀⠀⠀⠀⠀⠉⠙⢷⣤⣨⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡇⠀⠀⢹⣶⡾⠛⠉⠁⠀⠀⠀⠀⠉⠛⠷⢦⣄⣀⣬⡴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀ ⣄⠀⠀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⣴⡟⠛⠿⣦⡀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⣼⣿⣄⣡⣶⣾⣷⡀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣶

⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⢠⣷ ⠀⠀⢀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣄⠀⠀⢠⣾⠋ ⠠⠖⢩⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⢸⣿⠻⠿⡾⢛⣛⣀ ⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⢸⣟⣛⡃⠇⢳⣶⣾ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⢸⡯⢩⠍⡟⢻⣩⠉ ⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⢸⣗⡀⠀⡇⠸⠿⣤ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⢀⣤⣯⣿⠄⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠉⠉⠇⠀⡄⣦ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣠⠔⣋⣿⡿⠛⢆⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢣⣺⣹⡇⠀⢧⣿ ⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠒⠊⠉⠹⣆⢐⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣼⣿⡿⡇⠀⣠⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣆⠀⢀⣾⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣇⠀⢀⣀⡅⣀⣀⣉ ⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡈⠛⠿⣻⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡗⡏⢩⠟⡇⢁⣈⣩ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡠⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⡇⡸⢨⡄⡗⢮⢍⣹ ⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⡗⡇⢴⠃⡇⢨⡷⠛ ⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠈⠉⡇⠃⣮⡅⡧⡶⣤⣶ ⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⡟⢒⠂⡗⠒⠒⠓⠓⠛⠒⠛