⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⡀⢄⡄⡀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠀⠆⠋⠀⢁⠅⢍⢜⠥⠄⢆⣍⠈⡤⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠠⠀⠀⣤⠁⣕⠎⠋⠇⠃⠁⠈⠁⠀⠁⠉⠄⢮⠈⠆⢃⡁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠐⠀⠔⡁⠂⡕⢁⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣅⠂⢙⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠁⣐⢃⡢⢁⠂⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠣⠈⠧⠥⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢄⡉⠀⠔⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢊⠆⠈⠤⠀⠀⠀⠀⠀
⠀⠀⠄⢎⠂⠙⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢳⢄⠕⠀⡀⠀⠀⠀
⠀⠠⢎⢥⠢⠀⠔⠂⠀⠀⠀⠀⡾⠥⡂⠀⠀⠀⠀⠀⠀⡭⢷⡲⡀⠀⠀⠀⠀⠁⣨⡃⠩⠀⠐⠀⠀⠀
⠀⠀⢆⠓⠀⠔⠉⠀⠀⠀⠀⠸⡇⠨⡇⠀⠀⠀⠀⠀⠀⣩⣇⣗⡅⠀⠀⠀⠀⠀⠠⡩⡀⠅⠂⠁⠀⠀
⠐⢀⡝⡀⡨⠀⠁⠀⠀⠀⠀⠈⠉⠚⠁⠀⠀⠀⠀⠀⠀⠳⣝⠏⠀⠀⠀⠀⠀⠀⠀⢼⢀⠁⠐⠀⠂⠀
⠁⠨⠇⢠⠁⠀⠀⢐⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠀⠀⠀⣝⢀⡇⠀⢁⠈⡀
⠁⢈⡎⢘⠀⢈⠀⠀⡅⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡽⠀⠀⠀⣿⢱⠠⠀⠀⠄⠄
⠁⠨⡭⡨⠀⠠⠀⠀⣌⡀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢎⠅⠀⠀⠰⢙⢨⠁⠄⠀⠐⠁
⠈⠈⣇⢸⠀⢐⠀⠀⢐⣂⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠖⠀⠀⠀⡊⡜⡔⠄⠄⠀⠀⣁
⠀⠀⡇⢨⢁⠠⠀⠀⠀⠹⡄⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡋⠀⠀⠀⠨⠀⣅⡁⡁⠂⠀⠀⠤
⠀⢠⠻⡨⠈⡊⡂⠀⠀⠀⢝⢆⡙⡆⠀⠀⠀⠀⠀⠀⠀⠀⢠⡼⠋⠀⠀⠀⡠⠁⢘⢒⠠⠌⠀⠀⠠⠐
⠀⠈⡆⠳⡑⡀⠔⢂⠀⠀⠀⠩⢘⠳⠧⡦⣄⣄⣄⡄⢦⡫⠉⠀⠀⠀⠀⠔⠁⢀⠏⡅⠁⠀⠀⠀⠁⠌
⠀⠀⠙⡆⠈⠣⡢⡐⠓⠠⡀⠀⠀⠁⠁⠁⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠅⡀⡢⠃⠢⠁⠀⠀⡀⠁⠂⠀
⠀⠀⠀⠙⡅⡀⠉⢪⢮⣥⠄⠑⠠⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡪⢚⠜⠁⠄⠁⠀⠀⢄⠀⠁⠀⠀
⠀⠀⠀⠀⠈⠣⢆⡀⡐⠀⠍⠙⢓⠢⠤⠬⠤⣅⡥⣌⡤⣅⠼⠾⠝⠂⠁⡀⠌⠀⡀⠄⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⣅⡐⡈⠤⡀⠄⡁⠆⠐⠐⠁⠁⠀⢀⡀⢬⠀⠌⠈⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠉⠁⠁⠁⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀