⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀this is me btw, if you see shrek
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀you are in love with me
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀
⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀
⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀
⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀
⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁
⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀
⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀
⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇
⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇
⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇
⠉⠩⠭⣭⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣥⡩⠭⠭⠍⠈⠉⠈⠁⠈⢀⢁⡀⣀⠒⠀⠀⠀⠀⠀⠁⠉⠈⠉⠉⠁⠉⠈⠀⠁⠈⠀⠁⠈⠈⠁ ⠈⢩
⠀⢀⣴⣿⣿⣻⣾⡽⣷⢿⣧⣻⡾⣽⣟⡾⣽⢯⢿⣾⣳⢏⣿⣻⣶⣄⠀⠀⢀⣀⣀⣀⠀⠂ two ♥♥♥♥♥♥ kissing <3 ⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀ ⠀⢘
⢀⣾⣿⡿⣽⣻⢷⣻⡝⣮⣽⣶⢻⣱⡯⠟⣼⣻⠯⣞⢿⣾⢤⠍⡍⡟⢧⡐⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣶⣶⣦⣤⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀
⣾⣿⢯⡿⣝⡯⣟⡴⣻⣜⡳⣎⠿⣄⢣⢋⠧⠿⡰⠟⡌⠿⣧⠩⡔⡹⠶⣣⠀⠀⠀⠀⠀⠀⠀⢀⠤⡚⢻⡙⣉⠳⣯⢿⣽⣻⢿⣻⣟⣿⣻⣿⢿⣿⣶⣭⡀⠀⠀⠀
⣿⣽⣾⢹⡝⣾⡜⢲⣧⢺⢱⣭⠚⣤⢣⡌⢲⢱⠀⡇⡜⢡⠛⣴⠁⢳⠙⣷⢣⠈⠉⠈⠁⠀⣤⡞⠚⡌⣥⠒⢡⣿⣽⣷⣭⡟⣯⣷⢻⣾⣯⣿⣿⣯⣿⣿⣿⣦⠀⠈
⣟⡷⣯⢻⡵⣣⢟⡢⢜⣊⢣⢍⠶⣑⣢⠳⡌⢆⠳⡰⣁⠋⡔⢢⢙⠢⡝⢾⣽⠐⡀⠀⠀⣜⢽⢠⠓⡬⢐⡩⢘⠳⡧⠶⡯⡽⣹⣞⡟⣷⡿⣗⣻⣽⣯⣿⣿⣿⣦⠘
⣿⡽⣝⡻⣞⡽⣎⢷⡣⠖⣎⡞⣫⣜⣣⢇⡹⢜⢢⢑⢢⠑⡌⢣⠎⡱⢸⣣⢿⠀⠀⠀⡜⣇⣪⣤⡋⠰⡁⠔⡁⢂⠈⡹⡱⣭⠱⣷⣫⡿⣵⣯⣿⢟⣽⣾⣟⣿⣿⣷
⢫⢷⣫⠵⣩⢖⡹⢎⡱⣯⣿⡰⢡⣞⣯⡿⡱⡍⢆⡃⢆⠱⡈⡅⣊⣥⣶⣿⡿⠀⠀⣼⣿⡿⢇⠦⡉⠔⢀⠒⠠⢁⠒⡀⢏⡔⣋⠦⡗⣿⢯⣾⡟⣯⣿⣯⣿⣿⣻⣿
⢸⣹⣎⢷⡹⢮⣱⢣⠞⣵⣿⢃⠻⣿⡗⡱⢡⢛⡥⢊⠄⡣⠰⣘⣾⣵⣣⡽⠁⠀⠰⣿⢻⣟⣾⣲⣭⠖⠤⡈⠔⢢⠘⡄⣳⡍⠡⢘⣟⣽⢦⡝⣾⣟⣾⡽⣷⣿⣿⣿
⢸⣽⣞⣧⣛⢧⣎⢯⡝⡾⣽⡿⣿⡹⣧⣿⢄⠫⡖⣍⠢⡑⢢⠁⢞⡻⣿⡷⡀⠤⣠⠿⡘⢿⢿⠋⡅⢈⠐⢌⢈⢣⡙⡌⡎⡅⠠⠰⣸⣝⡆⡯⣼⣛⡿⣽⢿⣷⣿⣿
⢸⣽⣋⣬⢝⢷⣎⡷⡹⣝⣳⣿⣦⣳⠞⣕⢪⡱⡹⣌⢧⡑⢦⡉⢦⢩⣿⢔⡓⢮⡁⠒⣭⡘⢄⠃⣌⠢⠡⡌⢒⡰⠌⣘⠃⡘⢠⣼⠗⣁⡣⣳⢏⣿⣟⣿⡿⣿⣿⣿
⣾⡞⠿⣿⡎⢢⠙⠾⣵⢫⣝⣾⣻⠽⣟⡜⣢⠱⢳⡌⠷⣜⣣⠞⣥⢟⣼⡎⣐⣝⣷⡞⡹⣌⠢⣉⠴⣩⢓⡘⡄⠢⢌⠘⡄⢅⡇⣟⡠⣮⡴⢟⡺⣼⣯⣿⢿⣿⣿⠋
⣿⣄⣶⣘⠿⣥⣯⡳⣙⢷⣺⣼⠯⣟⡦⣝⢦⡛⢦⣹⢛⢶⣹⢚⡴⣫⢼⣻⣿⡿⣷⣶⡁⢆⠓⡜⢮⡱⣍⡒⢌⣱⢂⠱⡌⢎⣷⣿⡿⣏⠱⣃⠳⣭⣟⣿⣿⣿⠃⠐
⡍⢹⣾⡜⠠⠙⢣⡗⡩⢎⢿⣧⠀⢻⣿⡽⣶⢫⡷⣭⣻⢎⡷⣫⢞⡵⢫⢼⣿⢛⡹⢚⠿⣀⠋⠜⢢⡙⣤⢓⡲⢜⠢⣳⢜⡪⢞⡩⡑⢢⠓⣬⢛⡶⣹⡿⣿⠃⠀⢀
⠛⣜⡟⠛⢦⡠⠁⡙⢫⣜⢼⡹⣆⠈⡹⣿⣯⣿⣽⣳⢯⣟⠾⣵⢫⡞⣽⣿⣿⣼⣼⡷⣸⢁⠎⡘⢄⢣⢓⡞⡼⡭⣟⢧⣎⡷⣫⢖⡡⢣⠹⣔⣫⢞⣵⣻⢿⠀⠀⢸
⣾⣱⠻⣅⠂⡝⣦⠘⣤⠨⢼⠼⣜⡳⡔⢹⣿⣷⣿⣽⣳⢯⡟⣧⣿⣾⣿⣿⣾⣿⣿⣷⡱⢍⢢⢉⡜⢌⢣⡞⣵⢯⣷⣻⢮⣟⡵⣊⠶⡡⢓⡜⣮⢟⣾⣳⢟⣤⠀⠨
⣿⣇⢃⢻⣄⠸⡀⡟⣣⢿⡘⡸⠿⣀⠻⣄⣿⣿⣿⣿⣻⣧⢿⣻⣿⣿⠃⠘⠛⠘⣿⣿⣸⡜⣄⢧⣸⣜⣧⣿⣿⣿⢿⡿⣿⡜⣧⢛⡤⢃⡟⣸⣇⣿⣧⢇⡿⣀⡤⢠
⢺⢿⣊⣵⡛⢦⡉⢧⡘⢢⠙⣌⠳⣠⠒⣬⣿⠉⠛⠻⠿⣿⣿⣿⣿⡏⠀⠀⠀⠰⣿⣿⣿⣞⣾⣯⣷⣿⣿⣿⣿⡿⣟⣿⣳⢻⡬⢳⣘⠣⣜⢲⣿⡽⣣⠟⣰⠏⠀⢸
⢾⣟⣷⣢⢏⡳⡌⢧⡘⢥⢋⠴⢣⡑⢮⣝⡿⠨⠄⠀⠀⠀⠉⢉⢁⣀⣐⠂⠀⠀⠹⢿⠿⣿⣿⣿⡿⠿⠿⣿⣯⣿⡹⣞⡵⡯⣜⢣⢎⠳⣬⣿⢟⡱⢫⡶⠋⠀⠀⢸
⣵⡽⣿⣧⢯⣳⡹⢦⡙⢦⡹⢌⢣⢞⡱⣞⡏⠀⠀⠀⠀⠀⢀⢀⡒⠐⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠸⣯⣷⣻⡜⣷⢳⣎⠳⣎⣽⢞⣵⠋⣴⠟⠉⠀⠀⠀⢸
⣘⣴⣋⣿⣮⣖⣹⣧⣛⣧⣚⣌⣲⣍⣲⣭⡇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣿⣳⣽⣳⣏⣞⣧⣟⣵⣟⣁⣊⣀⣊⣀⣀⣀⣀⣈