⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣏⣤⣤⡀⢹⠿⣿⣿⡇⠉⣹⣿⣿⣿⣿⣿
⣿⣿⡿⠟⠉⣿⣿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⡄⠀⠟⠁⢀⠀⠀⠀⠀⠀⠀⢠⡀⠠⡶⠌⠻⠀⠈⠋⢻⣿
⣿⣿⣿⢠⣶⠀⢰⣿⠇⢰⠶⠞⠀⠘⢸⣟⣂⠀⠀⠀⣦⣀⣤⣾⣿
⣿⣿⣿⣎⠛⠀⢀⡉⠀⠀⠀⣠⡆⣠⣾⣿⣿⣧⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣌⠀⠈⠀⢀⣠⠾⠻⢿⣿⣿⣫⣤⣼⠀⠀⢻⣿⣿⣿⣿
⣿⣿⣿⣿⠏⠀⠀⡄⢸⡧⠾⢿⠟⠻⠟⢻⣿⣿⠀⠀⠈⠻⢿⣿⣿
⣿⠟⠉⠀⠀⠀⠀⠙⠊⣠⣀⢼⣧⡀⢀⣼⢿⣦⡖⠀⠀⡀⠀⠹⣿⡇
⡏⠠⠀⡴⠀⠀⠀⢀⣀⡹⢿⣿⣍⢛⠉⢱⣿⠿⠃⠀⠀⠘⠀⠀⣿⡇
⡿⠀⠀⠀⠀⠀⠀⣾⣿⣿⢄⣿⡿⣈⣡⡘⣿⣎⢷⡄⠀⠀⠄⠀⣻⢸
⣷⡀⠀⠀⠀⠀⢸⣿⡿⢫⣾⣿⢇⠈⠉⢁⢻⣿⣮⠃⠀⠀⠀⣰⣿⡇
⣿⣿⠷⠀⠀⠀⠀⠁⠰⣿⣿⡟⣼⣷⣴⣿⠘⣿⣿⠂⡀⡀⠘⣻⣿
⣿⣿⣶⣖⡁⢀⠀⢀⣤⣭⣭⣤⣯⣭⣿⣧⣤⡀⡀⠀⣀⣨⣿⣿⢸

⠀⠀⢲⠢⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡞⠀⠀⠀⠉⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⢉⣉⣉⣙⡲⢥⡢⣀⡬⠇
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣉⠄⢀⠀⠉⠳⣝⢯
⠀⠀⠀⠀⠀⠀⠀⠀⡏⠲⠤⠽⠀⠀⠀⠀⢹⣈⡇
⠀⠀⠀⠀⠀⣀⠀⠀⠳⣌⠒⠤⠤⠔⢀⣠⠟
⠀⠀⠀⠐⠳⠾⣦⣠⠶⣽⡙⠓⢖⢛⣩⠗⢦
⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⢧⠀⠈⠻⣄⠀⢨⣷⠤⢤⡴⣆
⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠈⢧⣠⣠⣚⠟⠀⢈⡇⠀⠁⠈
⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠉⠚⠛⠀⢀⡼⠁
⠀⠀⠀⠀⠀⠀⢀⠔⠋⠓⠦⢤⣤⣤⠤⠖⠋⠓
⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇
⠀⡤⠶⠒⠒⠶⣝⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠛⠉⠉⠲

⠀⠀⢲⠢⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡞⠀⠀⠀⠉⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⢉⣉⣉⣙⡲⢥⡢⣀⡬⠇
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣉⠄⢀⠀⠉⠳⣝⢯
⠀⠀⠀⠀⠀⠀⠀⠀⡏⠲⠤⠽⠀⠀⠀⠀⢹⣈⡇
⠀⠀⠀⠀⠀⣀⠀⠀⠳⣌⠒⠤⠤⠔⢀⣠⠟
⠀⠀⠀⠐⠳⠾⣦⣠⠶⣽⡙⠓⢖⢛⣩⠗⢦
⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⢧⠀⠈⠻⣄⠀⢨⣷⠤⢤⡴⣆
⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠈⢧⣠⣠⣚⠟⠀⢈⡇⠀⠁⠈
⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠉⠚⠛⠀⢀⡼⠁
⠀⠀⠀⠀⠀⠀⢀⠔⠋⠓⠦⢤⣤⣤⠤⠖⠋⠓
⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇
⠀⡤⠶⠒⠒⠶⣝⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠛⠉⠉⠲

⠀⠀⢲⠢⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡞⠀⠀⠀⠉⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⢉⣉⣉⣙⡲⢥⡢⣀⡬⠇
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣉⠄⢀⠀⠉⠳⣝⢯
⠀⠀⠀⠀⠀⠀⠀⠀⡏⠲⠤⠽⠀⠀⠀⠀⢹⣈⡇
⠀⠀⠀⠀⠀⣀⠀⠀⠳⣌⠒⠤⠤⠔⢀⣠⠟
⠀⠀⠀⠐⠳⠾⣦⣠⠶⣽⡙⠓⢖⢛⣩⠗⢦
⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⢧⠀⠈⠻⣄⠀⢨⣷⠤⢤⡴⣆
⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠈⢧⣠⣠⣚⠟⠀⢈⡇⠀⠁⠈
⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠉⠚⠛⠀⢀⡼⠁
⠀⠀⠀⠀⠀⠀⢀⠔⠋⠓⠦⢤⣤⣤⠤⠖⠋⠓
⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇
⠀⡤⠶⠒⠒⠶⣝⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠛⠉⠉⠲

⠀⠀⢲⠢⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡞⠀⠀⠀⠉⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⢉⣉⣉⣙⡲⢥⡢⣀⡬⠇
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣉⠄⢀⠀⠉⠳⣝⢯
⠀⠀⠀⠀⠀⠀⠀⠀⡏⠲⠤⠽⠀⠀⠀⠀⢹⣈⡇
⠀⠀⠀⠀⠀⣀⠀⠀⠳⣌⠒⠤⠤⠔⢀⣠⠟
⠀⠀⠀⠐⠳⠾⣦⣠⠶⣽⡙⠓⢖⢛⣩⠗⢦
⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⢧⠀⠈⠻⣄⠀⢨⣷⠤⢤⡴⣆
⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠈⢧⣠⣠⣚⠟⠀⢈⡇⠀⠁⠈
⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠉⠚⠛⠀⢀⡼⠁
⠀⠀⠀⠀⠀⠀⢀⠔⠋⠓⠦⢤⣤⣤⠤⠖⠋⠓
⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇
⠀⡤⠶⠒⠒⠶⣝⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠛⠉⠉⠲