⡤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⡤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀▞▌⢸⡇▐▚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⡇⠀⠀⠀⠀⠀⠀⠀▗▜⠀⠀⠀⠀▌⢸⡇▐⠀⠀⠀⠀▛▖⠀⠀⠀⠀⠀⠀⠀⢸
⡇⠀⠀⠀⠀⠀⠀⠀▙▟⠀⠀⠀▄▙⢸⡇▟▄⠀⠀⠀▙▟⠀⠀⠀⠀⠀⠀⠀⢸
⡇⠀⠀⠀▀▜⠀⠀⠀▐⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀▌⠀⠀⠀▛▀⠀⠀⠀⢸
⡇⠀⠀⠀⠀▌⠀⡤⠤⠤⠤⠤⠤⠤⠤⠼⠧⠤⠤⠤⠤⠤⠤⠤⢤⠀▐⠀⠀⠀⠀⢸
⡇⠀⠀⠀▐⠀⠀⡇▛▀▄▄⠀▝▖⠀⠀▗▘⠀▄▄▀▜⢸⠀⠀▌⠀⠀⠀⢸
⡇▀▜⠀⠀⠀⠀⡇▚⠀⣤⠀▀▚▝▖▗▘▞▀⠀⣤⠀▞⢸⠀⠀⠀⠀▛▀⢸
⡇⠀▌⠀⠀⠀⠀⡇▐⠀⠀⠶⠀⠀▌▇▇▐⠀⠀⠶⠀⠀▌⢸⠀⠀⠀⠀▐⠀⢸
⡇▐⠀⠀⠀⠀⠀⡇⠀▌⠀⠀⠶⠀▐▐▌▌⠀⠶⠀⠀▐⠀⢸⠀⠀⠀⠀⠀▌⢸
⡇⠀⠀⠀⠀⠀⠀⡇⠀▝▄▄⠀⠛⠀▇▇⠀⠛⠀▄▄▘⠀⢸⠀⠀⠀⠀⠀⠀⢸
⡇▗▜⠀⠀⠀⠀⡇⠀⠀▗▄▀▀▘▇▇▝▀▀▄▖⠀⠀⢸⠀⠀⠀⠀▛▖⢸
⡇▙▟⠀⠀⠀⠀⡇⠀▞▘⠀⣤⠛▗▜▛▖⠛⣤⠀▝▚⠀⢸⠀⠀⠀⠀▙▟⢸
⡇⠀▐⠀⠀⠀⠀⡇⠀▚▖⠶⠀⠀▞▐▌▚⠀⠀⠶▗▞⠀⢸⠀⠀⠀⠀▌⠀⢸
⡇⠀⠀⠀▞▚⠀⡇⠀⠀▝▚▄▞⠀⠀⠀⠀▚▄▞▘⠀⠀⢸⠀▞▚⠀⠀⠀⢸
⡇⠀⠀⠀▗▞⠀⠓⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠀▚▖⠀⠀⠀⢸
⡇⠀⠀⠀▙▄⠀⠀▞▚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀▞▚⠀⠀▄▟⠀⠀⠀⢸
⡇⠀⠀⠀⠀⠀⠀⠀▚▟⠀⠀⠀▞▚⠀⠀▞▚⠀⠀⠀▙▞⠀⠀⠀⠀⠀⠀⠀⢸
⡇⠀⠀⠀⠀⠀⠀⠀▗▞⠀⠀⠀▞▚⠀⠀▞▚⠀⠀⠀▚▖⠀⠀⠀⠀⠛⣿⠛⢸
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀▚▞⠀⠀▚▞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸
⠓⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚