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⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⣠⣾⣿⡿⠟⠛⡉⠉⠀⠀⠀⠀⠀⠍⠄⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⣿⠃⠀⠀⢀⠤⠀⠄⠀⠀⠠⠂⠁⠐⠄⠀⠀⠀⠀⠀⠀⠀
⢸⣿⣿⣦⣀⠀⠆⠀⠤⠀⡇⠀⠠⡀⠈⣀⣄⠀⠀⠀⠀⠀⠀⠀
⠈⠿⡿⣿⣿⠀⠈⠶⠖⠒⠀⠀⠰⡈⠁⠀⠀⠈⠂⢀⠀⠀⠀⠀
⠀⠀⠹⠈⠙⢀⡀⠀⠀⢀⠐⠂⠀⠐⢄⠀⠀⠀⠀⠀⠑⢄⠀⠀
⠀⠰⠁⠀⠀⢠⠑⢄⠀⠀⠙⠢⢀⠀⠀⠑⠢⡀⠀⠀⠀⠀⢂⠀
⠀⡄⠀⠀⠀⠀⣄⠀⠀⠢⢀⠀⠀⠁⠒⠒⢒⠀⠀⠀⠀⠀⠀⠂
⠀⡇⠀⠀⠀⠀⢿⣿⣶⣤⣀⡈⠉⠀⠒⠒⠒⠊⠀⠀⠀⠀⠀⢸
⠀⠠⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠸
⠀⠀⠑⠄⠀⠀⠀⠘⢿⠿⢿⣿⣧⠠⠐⠂⠀⠀⠀⠀⠀⠀⢠⠁
⠀⠀⠀⠀⠑⢄⠀⠀⠀⠈⠀⠉⠁⠂⠉⠉⠀⠀⠀⠀⢀⠀⠁⠀
⠀⠀⠀⠀⠀⠀⠁⠂⠄⢀⣀⠠⠄⠂⠁⠒⠂⠀⠒⠈⠁⠀⠀⠀
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠄⠄⢠⢾⢵⣗⣷⣿⣻⣿⣯⣿⣿⣿⣿⣧
⠄⣴⡫⣗⢽⡺⡽⣞⣯⣿⣿⣿⣿⣿⣿⣿⣇
⢸⣿⡯⣪⡣⡫⡯⣯⣷⣿⣟⣿⣿⣿⣿⣿⣿⡄
⢸⣿⣿⣢⢫⣝⢾⣯⣿⣷⣿⣿⣿⡿⠿⣿⣿⣷⢀⣄
⠈⣿⣿⣯⢧⣳⣻⣺⡻⣽⠝⢋⠁⠒⢚⣓⣿⣿⡿⢿
⠄⢹⣿⣏⠄⠄⢀⠄⡘⣾⣷⣦⣪⣳⣾⣿⣿⣿⣿⣽
⡫⡾⣿⡯⣮⣢⢶⢵⢼⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋
⠑⡢⢿⣿⣳⢽⢝⡷⣵⣷⣿⠿⢷⣿⣿⣿⣿⣿⢧
⠄⠘⠞⣿⣷⢽⢵⣳⠵⠐⢑⠙⡚⠿⣿⣿⡿⢝⠜⡄
⠄⠄⠄⠘⣟⣿⣽⡞⣡⢒⠓⠝⣙⣓⣪⡻⠝⡀⣼⣷⡤⣠⣤
⠄⠄⠄⠄⠙⢷⢝⢧⢲⢎⠳⠹⠱⣹⡱⠈⠂⣰⣿⣿⣳⠄⢤
⠄⠄⠄⠄⠄⠄⣧⣃⠄⠑⠕⠒⡚⠝⠁⢀⢜⣾⣟⣯⡒⡀⡘
⠄⠄⠄⠄⠄⠄⠘⣷⢢⢠⢀⣀⠄⡄⡖⡵⣯⣿⡽⣧⡳⢐⠔
⠄⠄⠄⠄⠄⠐⠄⠘⢯⡪⡪⡢⡣⣱⢽⢝⣯⡷⣻⣵⣟⢔⠅
⠄⠄⢠⢾⢵⣗⣷⣿⣻⣿⣯⣿⣿⣿⣿⣧
⠄⣴⡫⣗⢽⡺⡽⣞⣯⣿⣿⣿⣿⣿⣿⣿⣇
⢸⣿⡯⣪⡣⡫⡯⣯⣷⣿⣟⣿⣿⣿⣿⣿⣿⡄
⢸⣿⣿⣢⢫⣝⢾⣯⣿⣷⣿⣿⣿⡿⠿⣿⣿⣷⢀⣄
⠈⣿⣿⣯⢧⣳⣻⣺⡻⣽⠝⢋⠁⠒⢚⣓⣿⣿⡿⢿
⠄⢹⣿⣏⠄⠄⢀⠄⡘⣾⣷⣦⣪⣳⣾⣿⣿⣿⣿⣽
⡫⡾⣿⡯⣮⣢⢶⢵⢼⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋
⠑⡢⢿⣿⣳⢽⢝⡷⣵⣷⣿⠿⢷⣿⣿⣿⣿⣿⢧
⠄⠘⠞⣿⣷⢽⢵⣳⠵⠐⢑⠙⡚⠿⣿⣿⡿⢝⠜⡄
⠄⠄⠄⠘⣟⣿⣽⡞⣡⢒⠓⠝⣙⣓⣪⡻⠝⡀⣼⣷⡤⣠⣤
⠄⠄⠄⠄⠙⢷⢝⢧⢲⢎⠳⠹⠱⣹⡱⠈⠂⣰⣿⣿⣳⠄⢤
⠄⠄⠄⠄⠄⠄⣧⣃⠄⠑⠕⠒⡚⠝⠁⢀⢜⣾⣟⣯⡒⡀⡘
⠄⠄⠄⠄⠄⠄⠘⣷⢢⢠⢀⣀⠄⡄⡖⡵⣯⣿⡽⣧⡳⢐⠔
⠄⠄⠄⠄⠄⠐⠄⠘⢯⡪⡪⡢⡣⣱⢽⢝⣯⡷⣻⣵⣟⢔⠅
⠀⠪⡪⡪⣪⢪⢺⢸⢢⢓⢆⢤⢀⠀⠀⠀⠀⠈⢊⢞⡾⣿⡯⣏⢮⠷⠁⠀⠀
⠀⠀⠀⠈⠊⠆⡃⠕⢕⢇⢇⢇⢇⢇⢏⢎⢎⢆⢄⠀⢑⣽⣿⢝⠲⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡿⠂⠠⠀⡇⢇⠕⢈⣀⠀⠁⠡⠣⡣⡫⣂⣿⠯⢪⠰⠂⠀⠀⠀⠀
⠀⠀⠀⠀⡦⡙⡂⢀⢤⢣⠣⡈⣾⡃⠠⠄⠀⡄⢱⣌⣶⢏⢊⠂⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢝⡲⣜⡮⡏⢎⢌⢂⠙⠢⠐⢀⢘⢵⣽⣿⡿⠁⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠨⣺⡺⡕⡕⡱⡑⡆⡕⡅⡕⡜⡼⢽⡻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣼⣳⣫⣾⣵⣗⡵⡱⡡⢣⢑⢕⢜⢕⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣴⣿⣾⣿⣿⣿⡿⡽⡑⢌⠪⡢⡣⣣⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡟⡾⣿⢿⢿⢵⣽⣾⣼⣘⢸⢸⣞⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠇⠡⠩⡫⢿⣝⡻⡮⣒
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠄⠄⢠⢾⢵⣗⣷⣿⣻⣿⣯⣿⣿⣿⣿⣧
⠄⣴⡫⣗⢽⡺⡽⣞⣯⣿⣿⣿⣿⣿⣿⣿⣇
⢸⣿⡯⣪⡣⡫⡯⣯⣷⣿⣟⣿⣿⣿⣿⣿⣿⡄
⢸⣿⣿⣢⢫⣝⢾⣯⣿⣷⣿⣿⣿⡿⠿⣿⣿⣷⢀⣄
⠈⣿⣿⣯⢧⣳⣻⣺⡻⣽⠝⢋⠁⠒⢚⣓⣿⣿⡿⢿
⠄⢹⣿⣏⠄⠄⢀⠄⡘⣾⣷⣦⣪⣳⣾⣿⣿⣿⣿⣽
⡫⡾⣿⡯⣮⣢⢶⢵⢼⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋
⠑⡢⢿⣿⣳⢽⢝⡷⣵⣷⣿⠿⢷⣿⣿⣿⣿⣿⢧
⠄⠘⠞⣿⣷⢽⢵⣳⠵⠐⢑⠙⡚⠿⣿⣿⡿⢝⠜⡄
⠄⠄⠄⠘⣟⣿⣽⡞⣡⢒⠓⠝⣙⣓⣪⡻⠝⡀⣼⣷⡤⣠⣤
⠄⠄⠄⠄⠙⢷⢝⢧⢲⢎⠳⠹⠱⣹⡱⠈⠂⣰⣿⣿⣳⠄⢤
⠄⠄⠄⠄⠄⠄⣧⣃⠄⠑⠕⠒⡚⠝⠁⢀⢜⣾⣟⣯⡒⡀⡘
⠄⠄⠄⠄⠄⠄⠘⣷⢢⢠⢀⣀⠄⡄⡖⡵⣯⣿⡽⣧⡳⢐⠔
⠄⠄⠄⠄⠄⠐⠄⠘⢯⡪⡪⡢⡣⣱⢽⢝⣯⡷⣻⣵⣟⢔⠅
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░░░░▀▀▀░▀░░░▀░▀▀▀░░░░
░░░█░░░█▀█░█▀▀░█▀█░░░
░▀▀█▀▀░█▀▄░█▀░░█▀▀░░░
░░░█░░░▀░▀░▀▀▀░▀░░░░░
⠸⡇⠀⠿⡀⠀⠀⠀⣀⡴⢿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⢄⣠⠾⠁⣀⣄⡈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⡀⠁⠀⠀⠈⠙⠛⠂⠈⣿⣿⣿⣿⣿⠿⡿⢿⣆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⡾⣁⣀⠀⠴⠂⠙⣗⡀⠀⢻⣿⣿⠭⢤⣴⣦⣤⣹⠀⠀⠀⢀⢴⣶⣆
⠀⠀⢀⣾⣿⣿⣿⣷⣮⣽⣾⣿⣥⣴⣿⣿⡿⢂⠔⢚⡿⢿⣿⣦⣴⣾⠁⠸⣼⡿
⠀⢀⡞⠁⠙⠻⠿⠟⠉⠀⠛⢹⣿⣿⣿⣿⣿⣌⢤⣼⣿⣾⣿⡟⠉⠀⠀⠀⠀⠀
⠀⣾⣷⣶⠇⠀⠀⣤⣄⣀⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠉⠈⠉⠀⠀⢦⡈⢻⣿⣿⣿⣶⣶⣶⣶⣤⣽⡹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠉⠲⣽⡻⢿⣿⣿⣿⣿⣿⣿⣷⣜⣿⣿⣿⡇⠀
⠄⠄⢠⢾⢵⣗⣷⣿⣻⣿⣯⣿⣿⣿⣿⣧
⠄⣴⡫⣗⢽⡺⡽⣞⣯⣿⣿⣿⣿⣿⣿⣿⣇
⢸⣿⡯⣪⡣⡫⡯⣯⣷⣿⣟⣿⣿⣿⣿⣿⣿⡄
⢸⣿⣿⣢⢫⣝⢾⣯⣿⣷⣿⣿⣿⡿⠿⣿⣿⣷⢀⣄
⠈⣿⣿⣯⢧⣳⣻⣺⡻⣽⠝⢋⠁⠒⢚⣓⣿⣿⡿⢿
⠄⢹⣿⣏⠄⠄⢀⠄⡘⣾⣷⣦⣪⣳⣾⣿⣿⣿⣿⣽
⡫⡾⣿⡯⣮⣢⢶⢵⢼⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋
⠑⡢⢿⣿⣳⢽⢝⡷⣵⣷⣿⠿⢷⣿⣿⣿⣿⣿⢧
⠄⠘⠞⣿⣷⢽⢵⣳⠵⠐⢑⠙⡚⠿⣿⣿⡿⢝⠜⡄
⠄⠄⠄⠘⣟⣿⣽⡞⣡⢒⠓⠝⣙⣓⣪⡻⠝⡀⣼⣷⡤⣠⣤
⠄⠄⠄⠄⠙⢷⢝⢧⢲⢎⠳⠹⠱⣹⡱⠈⠂⣰⣿⣿⣳⠄⢤
⠄⠄⠄⠄⠄⠄⣧⣃⠄⠑⠕⠒⡚⠝⠁⢀⢜⣾⣟⣯⡒⡀⡘
⠄⠄⠄⠄⠄⠄⠘⣷⢢⢠⢀⣀⠄⡄⡖⡵⣯⣿⡽⣧⡳⢐⠔
⠄⠄⠄⠄⠄⠐⠄⠘⢯⡪⡪⡢⡣⣱⢽⢝⣯⡷⣻⣵⣟⢔⠅
⠄⠄⠄⡀⣔⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣀
⠄⢀⢆⡯⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀
⠄⡎⣎⣟⣿⣿⣿⣿⣿⣿⢿⢻⣙⢍⢭⢩⢋⠿⢿⣿⣿⣦
⠅⡎⣞⡾⣿⣿⣿⣿⢯⢏⢞⠸⠢⡹⣮⣷⣕⣗⣕⠹⣿⣿⣇
⢁⠪⡪⣟⣽⣻⢿⣽⢣⡃⡇⣏⢧⠕⠘⠻⢯⢱⡲⢝⠹⣿⣿
⠠⢑⠹⡸⣺⢞⣟⣗⢕⢕⢵⠬⡻⡀⠄⠄⢐⣕⢾⢜⠌⣿⣿
⠐⠠⠑⡍⡮⢯⣳⡻⡜⡌⢎⢢⠫⡲⣒⢔⢳⢺⡱⡱⣱⣿⣿
⠄⢁⠁⡂⠕⢕⢕⢽⠵⣕⢱⢱⠱⡱⡱⡱⢰⢑⠕⣕⣿⣿⠇
⠈⡀⠐⠠⠈⡂⠕⢕⠝⡎⡗⡎⣎⢆⡣⣣⣱⣼⡾⣿⣿⠋
⠄⠄⠌⡀⢂⠠⠁⡂⡑⠅⠇⡇⢗⢝⢽⢕⣟⢾⢽⠛
⠄⠄⠄⠈⠠⠂⢄⠄⡐⢈⠐⠨⠨⢈⢊⠪⠘⠈
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠄⠄⢠⢾⢵⣗⣷⣿⣻⣿⣯⣿⣿⣿⣿⣧
⠄⣴⡫⣗⢽⡺⡽⣞⣯⣿⣿⣿⣿⣿⣿⣿⣇
⢸⣿⡯⣪⡣⡫⡯⣯⣷⣿⣟⣿⣿⣿⣿⣿⣿⡄
⢸⣿⣿⣢⢫⣝⢾⣯⣿⣷⣿⣿⣿⡿⠿⣿⣿⣷⢀⣄
⠈⣿⣿⣯⢧⣳⣻⣺⡻⣽⠝⢋⠁⠒⢚⣓⣿⣿⡿⢿
⠄⢹⣿⣏⠄⠄⢀⠄⡘⣾⣷⣦⣪⣳⣾⣿⣿⣿⣿⣽
⡫⡾⣿⡯⣮⣢⢶⢵⢼⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋
⠑⡢⢿⣿⣳⢽⢝⡷⣵⣷⣿⠿⢷⣿⣿⣿⣿⣿⢧
⠄⠘⠞⣿⣷⢽⢵⣳⠵⠐⢑⠙⡚⠿⣿⣿⡿⢝⠜⡄
⠄⠄⠄⠘⣟⣿⣽⡞⣡⢒⠓⠝⣙⣓⣪⡻⠝⡀⣼⣷⡤⣠⣤
⠄⠄⠄⠄⠙⢷⢝⢧⢲⢎⠳⠹⠱⣹⡱⠈⠂⣰⣿⣿⣳⠄⢤
⠄⠄⠄⠄⠄⠄⣧⣃⠄⠑⠕⠒⡚⠝⠁⢀⢜⣾⣟⣯⡒⡀⡘
⠄⠄⠄⠄⠄⠄⠘⣷⢢⢠⢀⣀⠄⡄⡖⡵⣯⣿⡽⣧⡳⢐⠔
⠄⠄⠄⠄⠄⠐⠄⠘⢯⡪⡪⡢⡣⣱⢽⢝⣯⡷⣻⣵⣟⢔⠅
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
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⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
Signature: van de TRILLENDE TAPIR
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⢠⠊⠐⡞⢩⣭⣭⣭⣀⡔⣒⡚⠇
⠀⠀⠠⠁⠀⠀⠉⢿⡘⠃⣸⠃⠓⠒⢦⠌⢦⡀
⠀⢀⠇⠀⠀⠀⠀⠠⢍⡉⠁⠐⠦⠤⠞⡀⠀⠀⢣
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠉⢳⠄⠀⠸⡆
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠁⠀⠀⠀⠀⡇
⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡇
⡠⡇⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⡴⣤⣀⠴⠁⠀⠀⡇
⢣⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏
⠀⠑⣄⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡰
⠀⠀⠈⠑⢄⡀⠁⠢⢄⡀⠀⠀⠀⠀⠀⢀⡠⠒⢁⠔
⠀⠀⠀⠀⠀⠈⠒⠤⣀⠀⠉⠒⡂⢤⡰⠫⣄⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠼⠀⠠⡷⡀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱