⢐⢸⢸⢭⢗⢯⡺⡵⣝⢮⡳⣝⢮⢳⢕⢽⢸⡪⡪⡊⢆⢑⢐⠀⠀⠀⠀⠀
⠀⢀⢢⢣⢏⢯⣓⢧⢳⡳⣕⢷⣝⡮⣗⡽⡹⣜⢕⢧⢳⢩⠢⡡⢂⠈⠀⠀⠀⠀
⠀⢂⢕⢕⢕⢗⢎⡮⣳⢽⢺⡳⣳⢽⡳⣝⢽⢸⢸⢣⢣⢣⠱⡨⢂⠂⡀⠀⠀⠀
⠀⡰⡑⡕⡕⡕⡧⡯⢮⡳⡕⠕⠌⢂⠡⢑⢕⢧⢑⠑⠁⠠⢁⢂⢂⠂⠀⠀⠀⠀
⠀⠔⢈⢎⢮⢪⡳⣝⣕⢖⢜⠬⢌⢂⢌⢮⢽⢕⠅⠀⠀⠢⡂⡄⠄⠀⠀⠀⠀⠀
⠀⠐⢐⢕⢇⡗⣝⣞⢮⣻⣪⢯⢮⢮⢺⣪⢯⣫⢊⠀⠀⢁⠢⡂⡂⢄⢁⠀⠀⠀
⠀⠀⡂⢳⣈⢯⡪⡺⣝⣞⢾⢝⣮⡳⡽⣺⢝⣞⢆⠠⠀⠐⠠⡃⢕⠡⠀⠀⠀⠀
⠀⠀⠀⠨⢺⢜⢜⡝⡮⣺⢽⢝⡮⣫⢯⠞⡟⡎⡇⠀⠀⠀⠐⠈⠔⡈⠀⠀⠀⠀
⠀⠀⠀⠌⠢⡑⢕⢭⡫⣞⢽⢕⡯⣗⢷⢕⡮⡢⡂⠄⢁⠠⢈⠄⠡⠀⠀⠀⠀⢀
⠀⠀⠀⠠⠑⢜⠸⡜⡞⣎⢗⡽⡺⣵⡫⡯⡺⡪⠣⡁⡂⠌⠠⠐⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠅⠁⠈⡎⡯⣪⡳⡕⡝⡔⡅⣖⢔⢜⢄⢂⠠⠈⠄⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢐⠀⠀⠀⡇⡏⡮⣪⢳⡹⣪⢣⢣⢡⢱⢨⠠⡂⠌⡐⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠀⠀⢀⠘⢎⢎⢎⢧⡫⣎⣗⣝⢮⢪⣊⠪⡐⢐⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡀⠌⠀⠀⠀⠀⠌⠘⠜⡜⡜⡮⢮⢺⢸⢪⢒⠕⡈⠀⠀⠀⠀⠀⠀⠀⠀⠄
⢀⢀⠂⢅⠂⠀⠀⠀⠀⠐⠀⡈⠢⢣⢃⡃⡁⠊⠐⠀⠀⠀⢀⠀⠀⠀⠀⠀⢐⠀

⢐⢸⢸⢭⢗⢯⡺⡵⣝⢮⡳⣝⢮⢳⢕⢽⢸⡪⡪⡊⢆⢑⢐⠀⠀⠀⠀⠀ ⠀⢀⢢⢣⢏⢯⣓⢧⢳⡳⣕⢷⣝⡮⣗⡽⡹⣜⢕⢧⢳⢩⠢⡡⢂⠈⠀⠀⠀⠀ ⠀⢂⢕⢕⢕⢗⢎⡮⣳⢽⢺⡳⣳⢽⡳⣝⢽⢸⢸⢣⢣⢣⠱⡨⢂⠂⡀⠀⠀⠀ ⠀⡰⡑⡕⡕⡕⡧⡯⢮⡳⡕⠕⠌⢂⠡⢑⢕⢧⢑⠑⠁⠠⢁⢂⢂⠂⠀⠀⠀⠀ ⠀⠔⢈⢎⢮⢪⡳⣝⣕⢖⢜⠬⢌⢂⢌⢮⢽⢕⠅⠀⠀⠢⡂⡄⠄⠀⠀⠀⠀⠀ ⠀⠐⢐⢕⢇⡗⣝⣞⢮⣻⣪⢯⢮⢮⢺⣪⢯⣫⢊⠀⠀⢁⠢⡂⡂⢄⢁⠀⠀⠀ ⠀⠀⡂⢳⣈⢯⡪⡺⣝⣞⢾⢝⣮⡳⡽⣺⢝⣞⢆⠠⠀⠐⠠⡃⢕⠡⠀⠀⠀⠀ ⠀⠀⠀⠨⢺⢜⢜⡝⡮⣺⢽⢝⡮⣫⢯⠞⡟⡎⡇⠀⠀⠀⠐⠈⠔⡈⠀⠀⠀⠀ ⠀⠀⠀⠌⠢⡑⢕⢭⡫⣞⢽⢕⡯⣗⢷⢕⡮⡢⡂⠄⢁⠠⢈⠄⠡⠀⠀⠀⠀⢀ ⠀⠀⠀⠠⠑⢜⠸⡜⡞⣎⢗⡽⡺⣵⡫⡯⡺⡪⠣⡁⡂⠌⠠⠐⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠅⠁⠈⡎⡯⣪⡳⡕⡝⡔⡅⣖⢔⢜⢄⢂⠠⠈⠄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢐⠀⠀⠀⡇⡏⡮⣪⢳⡹⣪⢣⢣⢡⢱⢨⠠⡂⠌⡐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⢀⠘⢎⢎⢎⢧⡫⣎⣗⣝⢮⢪⣊⠪⡐⢐⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠌⠀⠀⠀⠀⠌⠘⠜⡜⡜⡮⢮⢺⢸⢪⢒⠕⡈⠀⠀⠀⠀⠀⠀⠀⠀⠄ ⢀⢀⠂⢅⠂⠀⠀⠀⠀⠐⠀⡈⠢⢣⢃⡃⡁⠊⠐⠀⠀⠀⢀⠀⠀⠀⠀⠀⢐⠀