Waiting for the major ff to go along with this convenient 14KB.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠐⢀⠀⠀⡀⠈⠀⠁⡀⠂⠀⠀⠀⠀⠀⠀⠠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡐⢀⠂⡈⠠⡠⠡⠐⡀⠌⡐⠄⠀⠂⡁⠐⠀⠄⠐⠀⠂⢄⠈⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡀⠄⠄⡐⡐⠌⢌⠂⢅⢅⢂⠆⡢⡀⠡⡀⡂⠡⠐⢄⢂⢈⠐⡀⠅⡂⠄⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡂⠁⠀⠄⡂⡂⠂⢄⠑⢔⠑⢕⢌⠢⢱⠨⡊⡆⡢⡢⠡⡑⡐⠄⡐⡐⢌⠐⢄⠑⠄⠄⠅⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠠⠀⠐⡀⢁⠐⠠⡁⡢⡑⠄⡕⢕⢐⢑⢔⢱⢑⢔⢜⢨⢑⢐⢌⢌⠢⡘⢄⠕⢄⠅⡅⢅⠨⠨⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠌⠀⡀⠀⠄⠂⡐⠌⡂⡂⡢⠪⠨⡪⠢⣑⠌⡆⡃⡢⡣⡑⡐⡑⡅⠥⡑⠕⣌⠪⡪⠢⡑⢌⠄⢑⠈⠌⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⠀⠀⢂⠐⠌⡐⡐⢌⠢⣑⡝⡌⢎⢢⢋⠢⢑⢘⢐⢐⠌⢆⢣⢣⢣⢣⢣⢣⢝⢕⢔⢅⠣⡀⠅⠨⠨⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⢁⠐⠠⢑⢐⢌⢎⡜⠬⡘⢌⠂⠅⠂⠌⡂⡐⠐⠄⢅⠕⡕⡜⢜⢜⢜⢼⢸⡪⡧⡣⡱⡐⠈⡂⠄⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠂⠂⡂⢅⢢⢱⢱⠕⢅⠕⢌⠢⡑⠨⠀⠡⢐⠠⠡⢑⢐⢑⢌⠪⡢⡣⡣⡳⡱⣝⢮⢯⠪⣊⢂⢂⠂⢨⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢐⠀⠀⠅⡂⡢⡣⡣⡫⡪⡢⡑⠅⠕⠌⠌⡂⡂⠄⢅⢑⠐⠅⠅⢕⠱⡑⡕⡕⡕⡕⡗⡽⣯⡃⠆⡇⡂⠅⡂⡂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠢⠀⠂⠅⢆⠕⢕⢑⢕⢜⢐⠌⠌⠌⠄⠅⡂⠌⠨⡐⠄⠅⢅⠅⢅⠣⠱⡈⡊⡪⡪⡺⣹⢷⡕⡅⡕⢌⢐⠐⡐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡐⠀⠅⢀⠨⡈⡢⡣⡑⡑⢌⢂⢢⢕⡕⡅⡣⡣⡪⡌⡢⡘⡌⡌⠢⠡⡑⡨⢨⢢⢪⢸⣰⢕⢕⢿⣳⡕⢌⢆⠢⡁⠪⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠅⠀⠢⠰⡨⠢⡗⠌⡂⡪⡓⢅⢊⢆⢌⢢⢣⠱⡑⢵⢵⠱⢅⢕⢐⢱⢱⡱⣕⣣⢳⡣⡫⡪⣿⡪⡢⢱⢑⢄⢑⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠂⠨⢈⢂⠃⡝⡌⢌⠂⡎⢎⢎⠮⠞⠮⠷⢿⣺⣮⣮⣪⢣⡣⣣⣱⣕⣷⢵⢷⢯⢷⣻⢽⢮⢷⡯⡊⢆⢕⠔⢌⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⢀⠡⡐⡸⡀⣣⡊⡢⡑⡌⡪⣢⠧⠷⡷⡷⡳⣦⡹⡞⡏⡇⡧⣳⣯⣷⣿⣽⠿⠾⠾⣾⡽⣟⡿⣇⢇⢃⠪⡪⡐⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⠄⢀⠢⡑⡐⡜⡜⡔⡢⢪⠪⢢⢁⠅⡄⣂⠪⡢⡢⡊⡪⡂⡪⡪⣿⢾⡡⡠⣑⠭⣪⡲⣞⣻⢽⣳⢝⡐⡑⣌⠢⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠄⠀⠂⠐⠐⡐⠄⢕⢜⠸⡨⡢⡙⢔⠐⠅⡒⡒⡓⠩⡈⡢⡊⢎⢊⢪⢫⢣⡪⡩⠪⢩⢑⢕⢕⢝⡗⣟⡵⡢⠢⡘⠔⢌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠊⡐⠈⠀⠂⡁⠐⠅⢕⢰⠱⡑⡌⢌⠢⡈⡂⡂⢆⠢⡑⢌⢢⢣⣕⡐⠕⣔⡗⣕⢝⡜⡔⢔⢕⢕⢵⢹⢜⢚⢮⠱⡐⡑⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢄⠑⠄⡂⢄⠁⢀⠠⠀⠅⠅⡂⡕⡅⢣⠪⢢⠱⡰⡘⡌⡢⡑⢌⢂⠂⢏⠺⠹⣪⢿⡹⡞⡜⡜⣮⢧⢱⢱⢹⢜⢜⢌⢪⢑⠱⠠⡑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⢕⠐⢌⢢⢪⢪⠠⠀⠀⡐⠈⢀⢢⠢⡊⠔⠕⢅⢕⣕⢕⢌⢢⢑⢑⢄⢑⠠⠡⡑⢌⢎⢎⢮⡪⣎⣿⣟⡮⣞⡎⡎⢎⢎⠆⡅⠕⢅⢃⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠠⢡⠑⢄⢕⢕⢕⢕⠕⢈⠀⡐⠀⠄⢠⠣⡑⠌⠌⢌⢪⡗⣿⣼⢸⠰⡑⡕⠔⢔⢌⢂⢪⠢⣱⢱⢵⡯⣷⣷⣿⣻⠮⡽⡮⣕⢜⢸⢨⢈⢢⠣⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠌⡐⡌⢆⠕⢔⢑⢱⢑⢌⠂⢪⠐⡀⡪⢌⠢⡡⠡⡡⢣⢋⢎⣿⠹⣕⡕⡜⡜⡔⡕⡌⡆⣇⢮⣫⣾⣟⣯⣷⢿⣽⣫⢯⢇⡗⡝⡔⡕⡕⢌⢕⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⢠⢢⢊⠪⠢⡑⠌⠢⢁⠣⡑⢌⢆⠂⡢⡣⡡⡑⠌⠢⠨⡂⡎⢪⢊⢊⢖⠵⢯⡬⡮⡪⠕⢕⢵⢳⣗⣷⣿⣯⣞⡿⣺⢮⡫⡳⡱⡩⡪⡪⡪⡘⡌⡎⡎⡪⡂⢆⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡠⡢⡑⢕⠅⠅⢕⠨⠨⠨⠠⡑⡘⡐⢄⢕⠸⡨⢒⠌⠨⠨⡐⡐⢅⢕⠕⡔⡌⡍⡇⡧⡫⣻⡻⣝⣟⢿⣽⣿⣾⢷⡯⣻⣻⣵⢝⢎⢎⢜⢌⠢⢨⠢⡣⡣⡣⡣⡣⡣⡣⡈⢲⠀⢄⢀⠀⠀⠀⠀⠀
⢜⢌⠪⡘⠄⢅⢑⢐⠅⠕⠅⢕⢐⢐⢌⠢⣃⢳⢌⠢⠡⠡⡁⠢⡑⡑⢌⠎⢜⢜⢼⡸⡪⣇⣗⣝⢮⢗⣟⣯⣷⣿⣻⡽⡵⡽⣺⢇⢕⢕⢕⢅⠃⡆⡇⢕⢜⡘⢜⢌⠢⡑⡕⡕⣍⠂⢕⠆⡀⠀⠀⠀
⢕⢐⠑⠌⢌⢂⠢⠢⡑⡑⡑⢅⢅⢕⢐⢑⢐⢕⢕⢍⢊⠢⡘⠌⢆⠪⣨⠪⡐⡐⢐⠍⢟⢷⡷⣷⣯⣿⡿⡿⡯⣿⣞⣟⡎⡯⣺⡱⡰⡑⢕⢑⠸⡜⡎⢌⢆⠜⡔⢅⢣⠨⡊⢮⢘⡬⠘⡔⢐⠀⠀⠀
⠕⠄⠕⢅⠑⠄⢅⢑⢐⢑⢌⠢⡑⠌⢌⠢⠢⡈⢆⢕⢕⢱⢸⢨⠡⡑⡕⡑⠠⡂⠢⡁⡇⠧⡫⡿⣯⣷⡿⣯⣻⣺⡻⡜⡊⡎⣞⡧⡑⢌⠘⣆⢣⠱⡱⡱⢱⣵⡈⢮⡢⡃⢇⢧⡇⣟⠄⣟⡐⠄⠀⠀
⠅⢅⠑⠄⠅⡑⡐⡐⢌⢂⠢⡑⠌⢌⠢⡑⢕⢌⠢⡑⡕⡜⡜⡜⡌⡜⡜⡔⠅⠌⡢⡣⢈⠪⡺⣜⢯⢻⢹⢳⢻⡺⣇⢣⠨⡪⡺⣸⢌⠐⣇⢹⡆⢅⢝⠼⣅⣿⠳⡿⣷⣾⣴⣍⣿⢼⢇⢽⡢⠡⠀⠀
⡑⡐⠨⡈⡂⡂⠢⠨⠢⡢⡑⢌⢊⠢⡑⢜⢔⢕⢑⢐⢌⢎⢞⢜⡞⡮⡜⡜⡌⡂⢕⠑⢄⢭⢣⣳⡱⡱⡱⡱⡱⡕⡵⡘⢌⢎⢞⣕⣷⣇⢹⡆⢻⡵⣷⡱⣟⣬⢝⢼⣬⢹⣭⡳⢿⣯⡧⢹⣯⢈⠢⠀
⡂⠌⡐⡐⡐⠄⠅⡅⠕⢔⢌⠢⠡⡑⡌⢎⢢⢣⢣⠢⢱⢱⢙⢮⢎⢝⢜⢞⡜⡜⣔⢅⡇⣗⣕⢷⢍⢆⢇⢧⡷⡵⡣⡹⡸⣺⣿⣿⣿⣿⡄⢿⠨⣷⠻⡎⣕⢹⣧⢙⢟⢧⡹⣯⣺⣷⣿⡢⣿⡄⡇⠅
⡌⡂⡂⠢⠨⡨⡨⠨⡪⡐⢔⢅⠕⢌⢎⡪⣢⣣⡣⡹⡸⡸⡸⡸⢝⢮⡪⡲⣝⡜⣕⡧⣏⢗⡮⡣⡱⣕⣽⣷⡿⣼⣪⣳⢽⣿⣿⣿⣿⣯⣷⠘⣇⠺⣟⣿⣾⣸⠿⣞⢟⣽⢹⣯⡫⣿⣻⣌⢿⣃⢣⡃
⢕⢆⠪⡘⢌⢂⠪⠨⡂⡪⣢⢳⠱⡩⡱⡑⡆⡆⡣⢝⢌⢗⢌⠪⡆⡂⢹⢾⣵⣯⡳⣿⡮⣯⣖⣞⣽⣾⣿⣟⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣟⣧⠱⡅⣹⣏⣯⡟⣿⣿⣾⡿⡿⣻⢧⢿⣿⡿⣹⡗⡽⡮
⡑⢕⢕⢜⢔⢄⢃⢑⢜⠎⢆⡇⢱⢱⡪⡎⡪⡺⡸⡸⡸⡸⡊⡎⡺⡨⠀⠹⡽⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣿⣿⣽⡆⢻⡈⣷⢻⢿⢬⣹⣼⣿⣾⣾⣿⣿⢿⣻⢜⢮⢸⡝
⠈⠜⢜⢔⢕⠢⡂⡢⠣⢡⢣⢇⠸⡰⡣⡱⡸⣸⣸⡪⡪⣚⢣⢱⠡⡇⡇⢡⢳⢕⠝⢜⢺⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⡈⢧⠸⣝⢿⢻⢺⢻⣗⢯⣭⣎⣻⣺⡽⣮⣫⢊⢯
⢣⠢⠑⢕⢕⢕⢕⢜⢘⢌⡮⡇⡞⡺⡪⡫⡫⢪⢪⢪⡇⠢⡱⡱⡑⠼⡸⠐⣕⢽⢌⠂⢕⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⢕⢧⠙⣅⢹⢼⣪⢆⣻⢼⡹⡻⣪⣷⡵⣟⣿⡪⡗⢵
⢪⢣⢣⠐⢕⢕⢇⢕⢕⢅⢱⢸⢪⡸⢼⢪⢏⢖⢝⢕⠥⡑⣕⢽⠨⡱⣙⢐⠸⣸⡪⡨⠐⡕⣿⣿⣿⣿⣻⣷⣿⣿⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⡵⡹⡔⢱⠌⣗⣗⢗⢜⢧⢟⢟⣛⢫⡳⣟⣾⣏⣯⢾
⠂⢌⢪⣊⢂⢣⢫⡪⡚⡜⡄⡇⡇⡇⣇⢇⣇⣇⡧⢧⢛⠪⡍⡢⡱⡸⡸⡠⠑⡜⣜⢆⠡⢘⢞⣿⣿⡿⣿⣿⣿⡿⣿⣿⡿⣿⣻⣷⣿⣿⡿⣿⣷⢕⢯⡂⢯⠸⡺⣝⡜⢼⢲⣐⢕⣷⣽⣺⡳⢷⢽⣼