⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢐⢐⠅⡂⡪⢐⢐⠅⡢⢊⠔⡐⢅⠢⢒⢐⠅⡢⢒⢐⠅⡢⠊⢔⢐⠅⡂⡪⢐⠔⡨⡐⢔⠨⡐⢔⠨⡐⠔⡨⢐⠔⡐⢔⢐⠌⢔⢐⠌⠔⡐⢔⠰⢐⠌⢔⢐⠡⡂⡢⠡⡂⡢⢂⠆⡊⣿⣿
⣿⣿⠐⢔⠡⢊⠄⢕⠐⢅⠢⡑⢌⠢⡑⢌⠢⠡⡊⢔⠨⢂⠪⡐⠅⢕⢐⠌⡂⡪⢐⠌⢔⢐⠡⡨⢂⠢⡑⡐⠅⡊⠔⡨⠂⢅⠢⢑⢐⠔⠡⡑⡨⢐⠌⡂⡪⢐⢐⠅⡂⡢⢑⢐⢐⠡⡨⠂⣿⣿
⣿⣟⠌⡢⠡⠡⡊⠔⡡⢑⠌⢔⠡⢊⢐⠅⡪⠨⡂⢅⢊⠢⡑⡐⢅⠕⠄⢕⠨⡐⠔⡡⡢⡦⡕⣔⢅⡪⡐⠌⢌⠢⢑⢐⠅⡑⢌⠂⢆⠪⠨⡐⠌⢔⠨⢂⠢⢑⢐⠌⠢⡨⠂⢅⠢⢑⠄⠅⣿⣿
⣿⡿⡨⢐⠡⡑⠌⢌⠢⠡⡊⢔⠡⡑⢔⠡⡊⢌⠢⡑⢌⠢⡊⢌⠢⡊⢜⡐⢕⢸⡸⣪⢳⢕⣝⢎⢇⡇⡧⡥⡑⡨⢂⠢⢑⠨⡐⡡⠡⢊⠌⠔⡑⡐⢅⠢⠡⡑⡐⢌⢊⠄⠕⡁⡪⠐⢌⠂⣿⣿
⣿⣿⠠⡑⠌⢔⠡⡑⢌⠪⡐⡡⢊⠔⡡⢊⠔⡡⢊⢌⠢⡑⢌⢢⢱⢸⢨⢨⢢⢇⢯⣪⡳⡝⣎⢮⡳⣝⢮⡳⣝⢮⡢⡅⠕⡨⢐⠌⢌⢂⠪⡈⡂⡪⠐⢌⠊⢔⢈⢂⠢⠡⡑⠔⡐⠅⢅⠊⣾⣿
⣿⣿⠐⠌⢌⢂⠅⡪⠠⡑⡰⢈⠢⡑⢌⠢⡑⢌⢢⠡⡑⡌⡦⡳⢑⢅⢖⢕⡕⣗⢵⢕⡵⣫⢮⡳⣝⢮⡳⣝⢮⡳⣹⡪⣳⢨⠂⡅⠕⡐⢅⢊⠔⡐⢅⢑⠌⡂⡢⠑⠌⢌⠂⠕⡨⢈⠢⡁⣿⣿
⣿⣟⠌⢌⠢⠢⡑⡐⡑⢌⠢⡡⡑⢌⠢⡑⡌⢆⠥⡑⣱⡪⡣⢊⢆⢇⢧⢳⢹⢜⡎⣗⣝⢮⡳⣝⣮⡳⣝⢮⡳⣝⢞⢮⡳⡕⡧⡨⠊⢔⢁⠢⢊⢐⠡⡂⠌⢔⠨⠨⡊⠔⡡⢑⢐⠡⢊⠄⣿⣿
⣿⣿⢈⠢⡡⡑⢌⠢⡡⡑⢌⠢⡊⡢⠣⡑⡌⢆⠕⣜⢼⢊⠔⡅⡇⡧⡳⡹⡪⣇⢯⡺⣜⡵⣝⣞⢮⢯⢞⡵⣝⢮⣫⡳⣝⢮⡣⡇⡇⡑⢔⠡⡑⡐⢅⠌⡪⢐⠡⡑⠌⡂⡊⢔⠐⢅⠢⠂⣿⣿
⣿⣯⢂⠕⡐⢌⠢⡑⢔⠸⡐⡅⡕⢜⢌⢪⢘⢌⢎⢮⠣⠢⡱⡱⡱⡝⣎⢯⢺⣪⡳⣝⢮⡺⣕⢷⢝⣗⢽⡺⣪⡳⣕⣝⢮⡣⣏⢮⡣⡊⡢⢑⠌⡢⠡⡊⢄⠕⡨⠂⢕⢈⠢⡁⡪⢐⠌⠌⣾⣿
⣿⣿⠠⡑⢌⢢⠱⡘⢌⡊⢆⢕⠸⡐⡕⡸⡨⡢⣓⡯⢑⠅⡇⡇⡗⣝⢜⣎⢧⡳⣹⠼⡵⣝⢮⣫⡳⣝⢵⢝⣞⡺⣪⢮⡣⣏⢮⡪⡺⡌⡢⡑⢌⠢⡑⢌⠢⠡⠢⡑⡡⢂⠕⡐⠌⢔⠨⠨⣾⣿
⣿⣿⠨⡊⡌⢆⠣⡪⢒⠜⡌⢆⢇⢣⢱⢸⢰⢑⢞⡎⢢⠱⡱⡱⣹⢸⢕⢮⢺⡪⡳⡝⡞⣎⣗⢵⢝⣎⢗⡽⣜⢮⡳⡕⣗⢕⡇⣏⢮⢪⠢⡊⡢⡑⢌⠢⡑⢅⢃⠪⡐⡡⠨⡂⠕⡁⡊⡂⣿⣿
⣿⣿⠨⡢⢱⠡⡣⢪⢊⢎⢜⠜⡌⡎⡪⡢⡣⣣⢿⢌⢢⢣⢣⡫⣪⢺⡸⡕⡧⡫⡮⣫⡺⣕⢮⢳⡣⡳⡝⡮⡺⡜⣎⢗⡕⡗⣝⢼⢸⢪⢊⠔⡢⢊⠢⡑⢌⠢⡡⡑⠔⢌⠪⡐⢅⢊⠔⡐⣽⣿
⣿⣿⢨⢊⢆⢣⢱⢡⢣⢪⢢⢣⢣⢣⢣⢣⣳⢽⢹⢸⢸⢜⢮⢺⢜⡮⣺⢜⡮⡳⣝⢮⡺⣜⢮⡳⣝⢵⢝⣎⢗⣝⢜⢮⡪⣇⢧⢳⡱⡕⡌⡪⡨⡂⡣⡑⢅⠕⡰⠨⡊⡢⢑⠌⢔⢐⠌⠔⣽⣿
⣿⣿⢰⢑⢅⢇⢕⢅⢇⢎⢎⢎⢪⢪⢪⢪⢪⢪⢌⢎⡪⠺⡸⡕⡯⡺⣕⢯⡺⣝⢮⡳⣝⣞⢽⣺⢵⢯⡳⣕⢗⡵⡝⡮⡪⡮⣪⡣⣣⢳⠨⡒⡌⢆⠕⢌⢢⢑⢌⠪⡐⢌⠢⢊⠢⡂⢅⠅⣿⣿
⣿⣿⢘⢌⢎⢎⢪⢪⢪⢪⢪⢪⢪⢪⢪⡪⡎⣇⢏⢮⣒⠀⢀⠠⠈⠈⡀⠅⠃⠑⠑⠙⠘⠜⠙⠎⠏⠞⠝⡎⢗⢳⢹⢪⢫⠺⡜⡜⡎⡎⢧⠱⡘⡔⡱⡑⡌⢆⢆⠣⡊⡢⡑⢅⠕⡨⢂⠅⣿⣿
⣿⣿⢸⢸⢸⢸⢸⢸⢸⡸⡸⡜⡪⣣⢣⢇⢗⡕⡽⡸⣜⠄⢀⠂⠄⡁⠄⠀⢀⢊⠌⡀⠐⢀⠂⠄⠂⠐⡀⠠⠀⠠⡀⡂⠄⠡⠐⡠⢱⢸⢸⠸⡨⡊⡆⢎⢌⠆⡆⡣⡊⡢⡊⡢⡑⢌⠢⡁⣿⣿
⣿⣿⢸⢸⢸⢸⢸⢜⢎⢎⢞⡜⡵⡱⡣⣏⢞⢼⡱⡝⣎⢧⡄⠂⠁⠐⠀⡈⢰⡹⡱⡀⠂⠀⡂⠌⠠⠁⢀⠠⡨⠨⡐⠄⢊⠨⠀⡂⡇⡇⡇⡣⡣⡱⡸⡘⡔⢕⢸⢐⠱⡨⡂⢎⠔⡡⡊⠔⣽⣿
⣿⣿⢸⡸⡜⡎⣇⢧⢳⢹⢜⢮⡪⣫⡺⣜⣕⢗⣝⢮⢳⢝⢾⣁⢂⢁⠂⠎⢎⠮⡓⠭⢣⢣⡠⣄⢔⡐⡆⡏⡪⠌⢄⠕⡐⢌⢂⢮⢺⢸⢸⢸⢸⢸⢨⢪⢸⢨⢢⢃⢇⢪⢨⠢⡱⠰⡘⢌⣾⣿
⣿⣿⢱⡱⡕⣝⢼⡸⣕⢝⣎⢧⡫⡮⡺⡼⣸⢕⢧⣫⡳⡽⣕⢿⣎⠢⡡⢌⡄⡅⡦⡳⣕⢗⡝⡮⡺⡜⣜⠜⡌⡪⠢⡑⡐⠨⡮⡺⡜⡎⣇⢧⢣⢣⢣⢣⢱⢡⢣⢱⠸⡐⡅⡣⡊⡪⡘⠔⣽⣿
⣿⣿⡱⡕⣝⡜⡮⡺⣜⣕⢧⡳⣝⢮⡫⣞⢵⣫⣳⡣⣟⢞⡮⣟⡮⢐⠨⡪⡜⣜⢮⡣⡧⣓⢕⢕⡱⡹⡸⡸⡨⣊⢪⢨⢸⢸⡪⡧⣳⢹⢜⡜⡼⡸⡜⡜⡜⡜⡜⡔⡕⢕⢅⢣⢊⢆⢕⢑⣽⣿
⣿⣿⢜⡺⣜⢮⡫⣞⢮⢮⡳⣝⢮⡳⣝⢮⣳⡣⣗⡽⡮⣗⢯⡷⣵⢂⠕⣐⢕⢌⢆⢣⢣⢳⢱⢳⢱⢱⢱⠱⡱⡘⡔⡱⡜⡕⡝⡮⣎⢗⡵⡹⡜⡮⡺⡸⡜⡜⡜⡜⢜⢜⢌⢆⠇⡆⡕⢔⣽⣿
⣿⣿⢕⢽⢜⢮⣺⡪⣗⢗⡽⣺⢝⡽⣪⣗⣗⡽⣕⡯⣞⣗⢯⢯⣟⠢⡱⡱⡑⡕⡕⡕⡕⡕⡕⡇⡏⡎⡎⡪⡪⢸⢐⢵⢝⢮⠨⡪⢮⡳⣝⢮⢳⡹⣜⢵⢱⢣⡣⡣⡣⡣⡱⡸⡨⡒⢜⠰⣽⣿
⣿⣿⢕⢯⢝⡵⣣⢯⡺⣝⣞⡵⡯⣫⢗⡧⣗⡽⣮⣻⣺⣪⢯⣻⡎⠜⡜⡌⡎⡎⡎⡎⡎⡎⡎⡎⡎⢎⢜⢌⠜⡐⡵⣹⡪⡇⣏⢎⢎⢞⢮⡳⣝⢮⢺⢜⡕⣇⢇⢏⢎⢎⢎⠎⡆⡣⢣⢑⣽⣿
⣿⣿⢝⡵⣫⢾⢕⡯⡯⣞⣞⢾⢽⢽⣝⣞⣗⣟⢞⣞⣞⣞⡽⣞⡮⡘⡌⡎⡪⡊⡎⡪⡊⡎⡜⢔⠱⡑⠔⡁⣊⢎⡗⡵⡕⡝⡜⡜⡜⡌⡇⣯⡺⣪⡳⡣⣏⢮⢪⡣⡇⡇⡇⡇⡣⡱⡡⢅⢿⣿
⣿⣿⢕⡯⣳⢽⢝⣞⡽⣺⢮⢯⣳⢯⣞⣞⣞⢾⣝⣞⣞⢮⣻⢮⣻⠊⡐⠡⠑⠜⠨⢂⢃⠊⠌⠌⡨⠠⡁⣎⢎⡇⡯⡺⡸⡱⡱⡱⡱⡱⡱⡱⡹⡪⣞⢽⢜⡎⡧⡣⡣⡣⡣⡣⡣⢣⠪⡊⣿⣿
⣿⣿⢝⣞⢽⣝⢽⣪⢯⣗⢯⢯⣞⣗⣗⢷⣝⣗⣗⢷⢽⢽⡺⠝⡀⠂⠨⡣⠑⡨⢐⠐⠄⠌⡂⢡⢢⢱⢱⢱⢕⢇⢗⢕⢕⡕⡝⡜⡎⡎⡎⡎⡜⡜⢌⢗⢳⡹⡪⡣⣫⢪⡪⡪⡪⡪⡊⡆⣿⣿
⣿⣿⣝⢾⢵⣫⢯⣞⢷⢽⣝⣗⣗⢷⣝⣗⢗⠗⡙⢉⠩⡱⡡⠡⠠⢁⠂⡂⠅⡂⡂⠅⡡⢡⠪⡢⡣⡱⢱⢱⡱⡕⡕⣕⢕⢕⢕⢕⢕⢕⡕⡕⡕⡕⡕⢅⠅⡂⠢⡈⠌⠪⡪⡪⡪⡢⡣⡪⣾⣿
⣿⣿⣪⢯⣳⢽⡳⡽⡽⣵⣳⣳⢯⢗⠇⡑⡐⡐⡐⢠⡣⡣⡣⡊⡐⢀⠢⡈⡂⡂⡢⡑⢜⠰⡑⢕⢜⢜⢜⢕⡪⡪⡪⡪⡪⡪⣪⢪⢣⡣⡇⡏⡎⡎⡊⠔⡈⡢⠑⠄⡅⠅⠂⠱⡱⡱⡸⡰⣽⣿
⣿⣿⡺⣽⡺⡽⡽⡽⣝⣞⠞⠪⠋⡂⢌⢈⠄⢊⢔⢕⡕⣕⢕⢕⢐⢐⢨⢒⢌⢐⠔⡨⡂⢇⢵⢱⢣⢣⢣⢣⢣⢣⢣⢳⠱⡍⡎⡎⡧⡪⠊⠈⠌⠒⢌⢌⢂⠢⠡⠑⡠⡢⡣⠱⡘⡜⢬⠢⣿⣿
⣿⣿⣝⢾⢽⢽⢽⣝⣗⡇⠢⢁⠅⠌⠄⢂⠨⡐⢕⢕⢕⢕⢕⢕⢕⡐⡸⡨⣪⣶⡳⡪⢜⢕⢕⢕⢕⢕⢵⢱⢕⢕⢕⡕⡝⡜⣜⢕⠕⡈⠆⡅⠕⡑⡐⠨⠐⠥⡡⢱⢸⢰⢱⢱⠱⡘⢜⢸⣺⣿
⣿⣿⢮⢯⢯⢯⢗⡷⢋⠪⢑⠐⠌⠌⠐⠄⢅⠪⠀⠕⡕⡕⣕⢕⢕⢌⢮⢾⢯⢞⠡⠘⡸⡸⡸⡸⡸⡜⡜⡜⡜⡜⡕⡕⡕⣝⢼⢸⢌⠔⡠⢈⠊⠢⢌⢊⠌⠄⡊⡎⡮⡪⣪⢪⢪⢪⠪⡂⣿⣿
⣿⣿⢽⢽⢽⢝⠍⠔⡐⠡⢂⠡⡁⠅⡡⢑⠐⡅⠌⠠⠘⢜⢜⢜⢜⢌⢞⡯⡣⠁⠄⠁⠄⢑⢕⢕⢕⢕⢕⢕⡕⡕⡕⡕⣝⢜⢼⢸⠌⡂⠢⡁⡊⠔⡠⠁⡑⠅⡕⣕⢵⢹⢸⢸⢸⢸⢸⢘⢾⣿
⣿⣿⢽⣝⢇⠡⠨⡈⡂⡑⢐⢐⢀⠢⢸⢐⢅⠢⢨⢐⠈⠄⠣⡣⡣⡣⡙⠌⡀⠂⡁⡈⠄⠂⡘⠜⡕⡕⡕⡕⡕⣕⢵⢹⢸⢜⢎⠆⠅⠌⠌⢔⠨⢂⠂⡢⡢⣣⢣⢇⢇⢧⢣⢣⢣⡣⡣⡣⣿⣿
⣿⣿⣳⡳⡅⠌⡂⡂⡂⠌⢀⠂⠄⡈⠢⢱⢱⢱⢱⢱⢱⠥⣈⠪⡪⡂⡊⡄⡆⡇⡇⡗⡬⡄⡄⠨⢘⢜⢜⢜⢎⢎⢮⢪⠣⠣⡑⠨⠨⠨⠨⢂⠌⠄⢢⢣⢫⡪⡎⡎⡇⡇⡇⡗⡕⡕⡜⡔⣿⣿
⣿⣿⡺⣺⡐⠨⠐⡐⠄⠆⡂⠪⡂⠅⡃⡕⡕⢕⢕⢕⢕⢕⢕⢕⠕⡔⡎⡎⡎⡎⣎⢎⢎⢎⢎⢧⢢⡘⢜⢜⢜⢎⢎⢢⢉⠅⠄⠡⠡⠡⢑⢐⠠⢡⢣⢳⢱⡱⡱⡹⡸⡪⡪⡪⡪⡪⡪⢪⣺⣿
⣿⣿⣺⣣⡃⠨⡀⡂⢡⠑⠌⢌⠢⡱⡑⢕⢜⢜⢜⢌⢎⢎⢪⢪⢊⢎⢎⢎⢎⢎⢎⢎⢎⢇⢗⢕⡕⡝⡜⡎⡮⡪⡒⡌⡒⡬⣈⠢⠨⢀⠂⠄⡒⡱⡱⡕⡇⡇⡏⡎⡎⡎⡎⡎⡎⡎⡪⡢⣿⣿
⣿⣿⣪⢾⠀⠡⢐⠐⡐⡡⢑⠨⡨⢢⠱⡑⡜⢔⢅⢇⢕⢕⢱⢑⢅⢇⢕⢕⢕⢕⢕⢕⢕⢇⢗⢕⢕⢝⢜⢜⡜⡜⣔⠜⢌⢎⢎⢎⢎⢆⢊⠔⡑⢌⢎⢎⢎⢎⢎⢎⢎⢎⢎⢎⢪⠪⡊⡆⣿⣿
⣿⣿⣪⠃⡀⠅⠂⡂⠅⡂⢁⠪⠨⠢⡑⢕⢸⢨⠢⡣⡱⡘⡌⡎⢆⢇⢣⢱⢱⢱⢱⢱⢕⢕⢕⢕⢕⢇⢗⢕⢕⢕⠕⡸⡸⡸⡸⡘⡌⡢⢑⠌⡔⡕⡕⡕⡕⢕⢕⢕⠕⡕⢕⢱⠡⡣⡣⡱⣽⣿
⣿⣟⠎⠀⠠⠠⠁⡂⢌⠢⡪⠠⠁⠅⡨⠠⢑⢈⠊⡢⠪⡘⢔⢅⢣⠪⡊⡎⡪⡪⡪⡪⡪⡪⡪⡪⡣⡣⡣⡣⡓⢅⢎⢎⢎⢎⢎⢢⠱⡸⡸⡸⡸⡘⡌⢎⠜⡌⡆⡣⡱⢑⢕⢱⢑⠌⡆⢕⢽⣿
⣿⣯⠀⠅⠐⠀⠅⢐⠡⢊⠔⡁⠅⠡⢐⠨⡨⢐⠠⠂⡂⢂⢂⠐⠠⠡⠨⠐⡁⢊⠨⠨⢈⢊⠘⠌⡊⢊⢊⢊⠊⢜⠘⠌⡣⢣⢃⠎⡜⢜⢌⢎⠢⡣⡑⡅⡣⡑⢌⠢⢊⠔⡡⡱⢑⠌⢜⠨⣻⣿
⣿⣟⠠⠈⡀⠡⠐⠀⠕⡐⢐⢀⠊⠨⠠⢈⠐⡐⠠⠡⢐⢀⠂⠌⠨⠠⢁⠂⡂⡁⡂⠅⡂⢂⠌⢂⢂⠡⢐⠰⡘⢌⢪⠢⡂⢌⠂⡎⢎⢪⠢⡑⠕⢌⠢⢊⢐⠌⡐⠌⡐⠄⡱⠨⠢⡡⠡⡑⣽⣿
⣿⣿⠀⠐⠀⠄⠐⠀⠂⡀⢂⠐⡈⠨⠐⡐⢐⠠⠑⡈⠄⠂⠌⠨⠠⢁⠂⠌⡀⡂⡐⢐⠐⡐⡈⠄⠂⠌⡐⢅⢊⠌⡢⠑⢌⠂⠔⢈⠪⡂⡣⡑⠅⠕⡈⡂⡂⢂⠂⠡⠐⡀⠂⠕⡑⢄⢑⢐⣽⣿
⣿⣷⠀⠁⠄⠂⠀⡈⠠⠀⠂⡐⢀⠁⡂⢐⠀⡂⠡⠐⡈⠌⠨⠠⢁⢂⠡⠁⡂⡐⢐⠠⢁⢐⢀⠊⡨⠐⠨⠐⠄⠕⡠⢑⠡⠈⠌⡀⢂⠡⢂⠊⠌⢂⠂⡂⡐⢐⠈⠄⠡⠐⢈⠐⡨⢐⠐⠄⣿⣿
⣿⣟⠀⠐⠀⠐⠀⠀⠄⢈⠠⠀⠄⠂⡀⢂⢐⠀⡁⢂⠐⠈⠄⡁⢂⠐⠠⠁⠄⢂⠐⢐⠀⡂⢐⠐⠠⠨⢀⠁⠅⡁⢂⠡⠐⢁⠂⡐⢀⠐⠀⠅⠡⠂⡂⡐⡀⠂⠄⠡⢈⠐⡀⢂⠐⡡⠨⠠⣻⣿
⣿⣿⣬⣤⣥⣤⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣢⣴⣤⣤⣤⣥⣤⣔⣤⣬⣤⣥⣬⣤⣔⣤⣔⣤⣤⣬⣤⣬⣤⣤⣥⣤⣤⣔⣬⣤⣤⣤⣤⣤⣥⣬⣤⣥⣤⣤⣤⣥⣬⣬⣤⣔⣤⣔⣤⣢⣥⣥⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
"Hey look, buddy, Ahm an Engineer. Thet means Ah solve problems. Not problems lahk "Whuts beauty?", cuz thet would fall within thuh purview uh chur conundrums uh philosophy. Ah solve practical problems. Fahwar instance... How am Ah gunna stop sum big mean ma hawh?bbard frum tearin' may uh structurally superfluous new behind? Thuh answer... Use uh gun. An hif thet don't work, use more gun. Lahk thus heavy caliber, tripod-mounted, liddel ol' number designed by may, built by may, an you'd best hope... not pointed at yawl."