⠀⠀⠈⠙⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡴⠶⠤⠤⠴⠶⠶⠶⠶⠶⢶⣤⣄⣉⠡⣀⣀⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⢷⣀⠀⠀⠀⢀⣠⣴⡾⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠳⢶⣬⡑⠊⠉⠃⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⣀⣴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣷⣦⡁⠀⠀⠀⠀⠀⠙⡂⠀⠀ ⠀⠀⢰⡀⠀⠀⠀⠀⣠⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠈⣳⡀⠀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣄⣀⣀⣀⡄⠀ ⠀⠀⠀⢿⡇⣴⡟⠁⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠈⠛⣷⡜⠶⣦⣄⠀⠀⠀⠀⠻⣿⡉⠛⠻⣶⠂ ⠀⠀⠀⢘⣾⡏⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠈⢿⣦⡈⢿⣷⠀⠀⠀⠀⠹⣷⡄⠀⠀⠧ ⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣧⡄⠀⠀⠀⠀⠀⠀⣿⣿⣈⣿⣧⠀⠀⠀⠀⠹⣿⠀⠀⠀ ⠀⠀⢰⡿⠀⠀⠀⣾⡇⢠⡟⢁⡤⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⡈⢻⣶⡀⠀⣷⡀⠀⠘⣿⣷⣿⡏⢠⠃⠀⠀⠀⢿⣷⠀⠀ ⠀⠀⣾⠁⠀⠀⠀⣿⢡⣾⣗⠏⠀⠀⠀⠀⢀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠙⢿⣦⠘⣧⠀⠀⠘⣿⣿⠇⢿⣆⠀⠀⠀⠈⣿⡄⠀ ⠀⢀⡏⠀⠀⡠⢺⣿⢸⣿⠁⠀⠀⢀⣴⡎⢀⣿⣧⠀⠀⠀⠀⠀⡀⠀⠀⣿⡇⠀⠀⠈⢻⣦⢹⡆⠀⠀⢹⣿⠴⢸⣿⡆⠀⡀⠀⢸⣿⠄ ⠀⢸⠇⣼⠟⠁⢸⣟⢸⣿⠀⠀⢀⣾⣿⢃⣾⢿⡏⡀⠀⠀⠀⢠⡿⠀⢰⡿⢀⣠⠶⠂⠀⢻⣯⣿⡀⠀⠨⣿⣇⣼⣿⡁⠀⢿⡆⢸⣿⠀ ⢷⣸⠀⠀⠀⠀⢸⡟⣾⣿⠀⣠⡿⢳⣷⣾⠃⣼⡇⠀⠀⢀⣴⣿⠁⢤⣿⠟⠋⠀⠀⠀⠀⠀⢻⣿⡇⠀⠀⣿⣿⡿⣿⣷⡀⠈⣷⣼⣿⠃ ⢸⣿⠀⠀⠀⠀⢸⣿⣿⣿⡾⠋⣠⡿⠟⠁⢠⣿⣀⣤⣶⠟⣹⡏⣼⡿⠃⠀⠀⠀⣠⣄⣀⣠⡈⢿⣧⠀⠀⢹⣿⡷⢾⣿⣷⡀⢻⣿⣿⡀ ⡼⡟⠀⠀⠀⠀⠘⣿⣿⠟⣰⣶⣿⣾⣷⣦⣘⠋⡉⠁⠀⣰⣿⠿⠋⠀⠀⠀⣠⣾⣿⣿⣿⡟⢿⣾⣿⠀⠀⢸⣇⠀⠀⠙⣿⣷⡀⢿⣿⠃ ⠀⣿⠀⠀⠀⠀⠀⣿⣿⣴⣿⠋⣿⢻⣿⡿⠿⣷⡄⠀⠀⠙⠁⠀⠀⠀⠀⣾⣿⣻⣿⣿⡀⣰⡄⠙⣿⡀⠀⢼⣿⠹⣇⠀⣿⣿⣧⠸⡿⠀ ⠀⢿⣼⡇⠀⠀⠀⢹⣿⡿⣇⠘⣿⠏⡹⣷⢤⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⡏⠚⠟⠉⢿⡇⢀⣿⡧⠀⢸⣿⠂⠈⣰⣿⣿⣿⡆⡿⠀ ⠀⢸⣇⣿⠀⠀⢸⣿⡏⣿⡙⢧⠹⣿⣀⣀⣀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣤⣤⣴⠟⠁⠀⢸⡟⠀⢘⣿⢀⣴⣿⣿⣿⢹⣇⡇⠀ ⠀⠈⣿⣿⡆⡀⣾⢸⠀⣿⠅⠀⠁⠈⠙⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢸⡇⣀⢸⣿⣿⣿⣿⣻⣿⢸⣿⡇⠀ ⠀⠀⠸⣿⣿⡁⣿⣼⢸⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣇⠃⣾⣿⡿⣿⠿⣿⣿⡾⣿⠁⠀ ⠀⡠⠀⠘⢿⣿⡀⣿⢸⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠠⣤⣴⠶⣶⡦⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⠊⣸⣿⣽⣻⣿⣷⣿⡿⠘⠃⠀⠀ ⠀⠁⠀⠀⠈⡻⣿⣿⢸⡇⢿⣿⣿⣿⣿⣶⣶⣤⣤⣀⣀⣀⣈⣓⣒⣋⣥⣤⢶⣶⣾⣿⣿⣿⣿⣿⡇⣰⡿⣻⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡷⣈⣿⢸⣇⠈⢿⡜⠿⣿⣟⢿⣿⡿⠿⣿⠿⠻⠻⣍⠻⠷⠾⠟⢋⡬⠉⠛⢿⣿⣏⣼⠟⠀⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⡏⡏⢸⡿⣷⣌⢿⣶⣬⣭⣶⠆⠀⠀⠀⢶⠃⠄⣀⢙⣒⠒⢚⣉⡤⣀⣴⣾⠿⢟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣤⣤⣤⣄⣿⣿⡧⢸⣧⠶⠿⣷⣿⣦⡉⠀⠀⠖⣢⡀⣟⣀⣀⣄⠀⠈⠀⠉⠀⠀⣬⣍⠁⡀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠚⠛⠛⠉⠉⠀⣷⡿⠀⠀⠀⠀⠈⠙⠛⠓⠒⠟⠿⠷⣿⣥⣀⣩⡶⣦⣀⣀⣌⣀⣿⣌⣉⡑⣾⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢤⣀⣒⣶⣤⣄⣀⣻⣁⡈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⡿⠋⠁⣼⠋⠉⠁⠀⠈⠉⠉⠁⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⣿⣿⣿⣿⣿⣿⠿⠿⠻⠛⠛⠛⠋⠉⢩⢿⢰⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠉⠋⢩⣍⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢾⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢀⣴⢞⢽⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⢸⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⠗⡁⠉⢺⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠸⡇⠅⠀⠀⠀⣀⣠⣠⣄⣀⣀⡀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡧⡤⡣⠊⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣷⡦⠀⠀⠀⡇⠀⣴⣞⣿⣛⣤⡄⣻⣿⣿⣿⣿⣶⣤⡀⠈⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⢟⡎⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⡇⢳⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠳⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠀⡞⣿⡶⢄⣀⠀⠃⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠇⠀⠙⠁⠀⠀⠈⠓⠪⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⢰⢻⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⠛⠿⢿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠑⠀⠙⢿⣿ ⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠷⣧⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡾⠀⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣱⣡⠁⢀⣀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣉⣽⡻⠿⠟⠛⠛⠓⠉⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⡀⠀ ⣦⣄⠀⠀⡠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⠿⢶⣽⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⢀⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣧ ⢴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢸⢱⡇⠀⠀⠀⠀⠀⣀⣤⣤⡶⠻⠟⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡟⠤⣀⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⡀⠀⠀⢸⣸⡇⠀⣀⣤⣶⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⠙⠻⢿⣿⡇⠀⠀⢹⠸⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠗⠶⠼⣿⡧⠻⠛⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡟⠛⠛ ⠀⠀⠀⣿⡇⠀⠀⠀⡄⠟⣿⣿⣿⣿⣿⣿⣿⠛⠉⠠⠀⠠⠀⣀⣠⣄⣄⣠⣀⣐⣂⢀⠠⣤⣠⣠⣄⡀⠀⠀⠀⠀⠘⢿⡿⡱⠉⠀⠀⠀ ⠀⠀⠉⠀⠉⠑⠒⢲⡇⢸⢽⣿⣿⣻⣿⢯⠏⠉⠛⠫⢭⣀⡉⠉⠁⠀⠀⠀⠀⠀⢠⣶⣴⠞⠙⠀⠉⢻⣦⣄⠀⠀⠀⢹⠁⠀⠀⠀⠀⠀ ⠉⠑⠒⠢⡤⢤⣠⡿⠁⣜⣾⣿⣻⣟⡁⠁⠀⠀⠀⠀⠀⠀⠈⢉⣓⣲⣶⣦⣖⣛⠊⠉⠀⠀⠀⠀⠀⠀⢙⣄⣙⣦⣘⡇⠂⠀⠀⠀⠀⠀
FERAL ENTITY MURDERERS; PART 1; "Serial Designation N, nice to meet-" He was interrupted by the loud whirring of an electric chainsaw nearby, and the cries of a monster being taken down. "You..." N finished, standing there in horror and shock. I was down there, blood from the monster splattered all over me, my hair in the ponytail i usually went in, and my electric chainsaw rumbling and intimidating N with it's sharp points. The monster is well... an entity. Someone is trapped inside that entity, and she is going insane already. A black void with glitched tentacles coming out from it, an eerie eye coming out and having the face of ENA, the humanoid trapped inside it, as it's pupil. "D-do you need help?" N asks, walking up to me carefully, not knowing he will get attacked. "WATCH OUT-" I scream. N turns to see what's behind him and yelps in fear. His hands swap to guns as he shoots the entity many times. I stare down at myself. Wearing my navy & white shirt, denim skirt, leg warmers, and converse shoes. Scars on my legs, arm and cheek start to slowly heal as I breathe heavily. I haven't dealt with entities like this for the first time when given my job of hunting down monsters. Yet no one tried to help me before, like N did now. I have no idea who N really is, since I've just first seen him while fighting the entity trapping ENA, who from my notes given, was having a mental breakdown as her typical Bipolar II self. "N... right?" I say as I attempt to slash with my chainsaw. N turns to look at me, as he is still frantically shooting missiles at ENA. "Y-yes...!" He says, trying to smile. ENA breaks down, growling in frustration as the entity that corrupted her lunges forward at N. "AAAAAA OKAY YOUR TURN-" He says, backing away rapidly, his wings spread. I groan in frustration as I keep stabbing and slashing at the glitchy, black void of the entity. It growls and screams, and I know I'm nearly done when I hear ENA's voice there. "JUST DO SOMETHING N, I'M ALMOST DONE!" I yell, turning forward but still stabbing. N nods quickly and runs over, shooting the missiles over and over. A few minutes later, the entity fell apart noisily as I dropped my chainsaw to look at ENA, now freed from it. "S-s-s-salutations, sir!" She said, her voice glitching slightly. (part 2 will come out, stay tuned to read more <3) this series is called Feral Entity Murderers series, search it up on emojicombos.com to read it!
FERAL ENTITY MURDERERS; Part 2; I turned around to look at N, trembling a bit but speechless about what he just went through. “You both okay?” I ask, a bit worried. Silence. Finally, ENA responds. “Yes, I am at this moment. Please excuse the breakdown I have just experienced there.” She says, finally returning to her “happy” side. “And…” N’s eyes widen, and he apologizes for not responding. “Oh! Sorry… but I’m fine, I guess…” He replies, looking a bit traumatized. “Okay,” I say, confirming both responses, but still concerned for both N and ENA. “Now, ENA, it says here that you need to return to someone named… Moony, correct?” I pull out my phone and show the notes given for when fighting off ENA’s strange entity. “Yes, Moony indeed is my friend, and I will return to her.” ENA answers. “Good. Now, be careful next time, and don’t create a mess like this. Okay?” I finally explain, as ENA starts to walk away. “Of course. May our paths cross once again.” She blankly responds, starting to walk out. I heavily sigh and turn toward N, picking up my chainsaw. “You are… Serial Designation N, from exoplanet Copper-9, right?” I ask, studying his tag on his arm that showed some of his info. “Why, yes I am!” N replies, smiling. “And you are…?” “August.” I start to untie my ponytail as I start to explain. “I have well… a job, where I hunt down entities and monsters like what you’ve just seen. I’m 16 years old, and I’ve been working in this job for 2 years now, after escaping from my toxic family. For a Disassembly Drone like you, well, you could probably love this job a lot!” N processes what I have just said and replies. “August. Well, nice to meet you! I probably would like that job of yours, but dealing with monsters that big would be kind of too much for me…” He says sheepishly. “But still though, your job seems interesting. What else do you do other than hunt entities down though?” A wild grin comes onto my face as an idea sparks in my head. I brush my brown, knitted fingerless gloves off as something near my hands opens up a small portal. N gets jumpscared for a second, thinking I have the Absolute Solver, but then sighs in relief when he sees what is coming from my hands isn’t the Solver symbols. “Walk in,” I say, beaming strongly. “You are going to love this place here!” N and I walk through the portal to where we were going, and he did not know how much he would adore this place.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣤⣴⣿⣿⣿⣿⡿⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⡟⣋⣘⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣰⣿⣷⣶⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠀⠈⢹⣿⣿⠿⠿⠿⢿⣿⠿⠿⠿⢿⡿⠿⠿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⣿⡟⠿⣿⣠⣼⣿⣿⡟⣷⣄⠀⢸⣿⠀⠀⣀⣤⣿⣿⠟⢷⣤⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⡶⣾⣿⣿⣿⣿⣿⡇⠈⠛⣿⢸⣿⠀⢀⣿⣿⣿⣿⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⣿⣽⣿⣿⣿⣿⡇⣠⡾⢟⣼⠿⠀⢸⣿⣿⣿⣿⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⣠⡾⠛⣿⣤⠀⠀⠀⠀⠀⠻⣿⡍⠀⠟⠉⠹⢿⣿⡿⣿⠛⠛⠁⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠅⠀⠀⠀ ⠀⠀⣠⣾⣿⠀⠀⠈⠻⣿⣄⢸⣿⠛⠛⣿⣿⣦⣀⡀⠀⠀⠉⠀⠈⠻⣦⣤⣴⣶⣴⡟⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣫⡁⠀⠀⠀⠀⠀ ⠀⣸⡿⠆⠙⠳⣆⡀⢀⣸⡿⢾⣿⠀⠀⣿⣿⣿⣿⣿⣶⣶⣦⣀⣀⣠⣀⣀⣀⣤⣄⣶⣟⣀⣀⣴⣶⣾⣿⣿⣿⣿⢿⠛⠛⠛⣷⡆⠀⠀⠀⠀ ⢸⣿⠀⠀⠀⠀⠈⠷⣾⡿⠀⢸⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⣿⣿⡿⠿⠿⠿⢿⣿⣿⣿⣿⣿⠿⠀⠀⢠⣴⠟⠃⠀⠀⠀⠀ ⣼⠟⠿⠶⢶⡄⣤⡿⠋⠀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⢀⣬⣿⣿⣿⠋⠁⠀⠀⠀⣿⠉⠉⠻⢿⡇⠀⠀⠠⣾⢿⡖⠓⢿⣷⣄⢒ ⣿⠀⠀⣀⣀⣸⡇⡀⠀⠀⠀⠀⠀⢰⣟⣧⣿⣿⣿⣿⣿⣷⣤⣤⣴⣿⣿⣤⣤⣿⣿⣷⡤⣤⣀⣿⣀⣀⣀⣸⣇⣠⣄⣛⣀⣀⣀⣀⣌⣻⣿⣻
⠄⠃⠀⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠂⠀⠐⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⠶⠶⠶⠶⠶⠶⠶⠶⢤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⣟⣯⣿⣽⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣯⣭⣭⣟⡳⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⣞⣯⣷⣾⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⡿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣮⣝⡳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⣻⣽⣿⣿⣿⣿⣿⡿⣿⣻⣽⣷⡿⣿⣿⣽⡿⣟⣿⣿⣿⣿⣿⣻⣾⢿⣾⣯⣿⣽⣿⣻⣿⣿⣿⣿⣷⣮⣛⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⣟⣽⣿⣿⡿⣿⣹⣭⡟⣿⣽⣿⣟⣿⣽⣿⣯⣷⣿⣿⣿⣿⢿⣯⣷⣿⣟⣿⡿⣯⣿⣽⣿⣾⢿⣷⣿⣽⣿⣻⣿⣿⣷⣮⡛⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣫⣾⣿⣿⣿⢯⡽⣞⡷⣛⡾⣽⣿⡷⣿⣿⣾⣿⣿⢿⣟⣯⣿⣾⡿⣿⣽⣾⢿⣯⣿⢿⣯⣿⣾⢿⡿⣿⣿⣿⣾⣟⣯⣿⣿⣿⣿⣮⡻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣫⣾⣿⣿⣿⣟⣿⣾⣽⣳⣿⣽⣽⣿⣿⣿⣿⣿⢿⣯⣿⣿⣻⣿⣽⣷⣿⣿⣯⣿⣿⣻⣽⣿⣿⣷⣿⣿⢿⣟⣿⣿⣷⡿⣟⣿⣾⣟⣿⣿⣿⣮⣹⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢏⣾⣿⣿⣿⡿⣽⣾⣿⣯⣿⣟⣿⣯⣿⣿⣿⡿⣯⣿⣿⣻⣷⡿⣿⣿⣛⡾⣽⣿⣿⣽⡿⣿⣿⣽⣿⣿⣾⣿⣿⢿⣻⣾⣿⣿⣿⣻⣷⡿⣯⣿⢿⣿⣷⣌⢷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣽⣿⣿⣿⡿⣷⣿⣿⣿⣟⣷⡿⣯⣿⣿⣿⡿⣯⣿⢿⣷⣿⣻⣿⣿⢿⣧⣻⣽⣿⣿⢿⣏⡿⣵⣿⣿⣿⣿⣽⣿⣿⣿⢯⣽⢻⣿⣿⣯⣿⣿⣿⣻⣿⣻⣿⣿⣯⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⣾⣿⣿⣿⣯⣿⣿⣿⣿⢯⣿⣯⣿⣿⣿⣿⣯⣿⣟⣿⣿⣻⣾⣿⣿⢿⣻⣿⣿⢿⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣯⣿⣿⣿⣟⣮⢿⣟⣿⣿⣽⡿⣿⣿⣽⣿⣽⣿⣿⣷⡼⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⣿⣿⣿⣿⢾⣟⣷⣿⣿⣻⣿⣿⣿⣿⣿⢿⣷⣿⣿⣿⣻⣾⣿⣿⣿⣻⣿⢿⣷⡿⣿⣯⣿⣿⣾⣟⣷⣿⣿⣿⣿⣿⣿⣿⣯⣿⣾⡿⣿⣻⣿⣿⣿⣟⣿⣿⣾⣿⢾⣟⣿⣿⡏⣧⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⣾⣿⣿⣿⣾⡿⣿⣿⣿⡿⣯⣿⣿⣿⣿⣻⣿⣿⣿⣿⡽⣿⣿⣿⣿⣻⣿⣽⣿⣯⣿⣿⣿⣿⣯⣷⣿⣯⣿⢏⣿⣿⣿⣿⣿⣿⣽⣷⣿⢿⣟⣿⣿⣿⣿⣻⣿⣿⣾⡿⣿⣻⣿⣿⡼⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢀⣿⣿⣿⣿⣿⡷⣿⣻⣿⣿⣿⣽⣿⣿⣿⣟⣾⣿⣿⣿⣿⣾⣿⣿⣿⣿⣻⣽⣯⣿⣾⣿⣿⣿⡿⣷⣿⣻⣾⣿⠃⠲⢿⣿⣿⣿⣿⣿⣻⣾⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⢾⣿⣟⣿⣽⣿⣷⢻⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⣾⣿⣛⣿⣯⣿⣛⣿⣿⣿⣿⡿⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣽⡿⣿⣽⣷⣿⣿⣿⣟⣿⡿⣽⣿⡿⠡⠁⠀⡹⣿⣿⣿⣿⣿⣟⣿⣽⡿⣿⣽⣿⣿⣻⣷⣿⣿⣿⣻⣿⣯⣿⢿⣿⡆⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣽⡟⡛⢛⠛⠭⣉⠍⣻⣿⣿⣿⣿⣿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⢟⣻⣿⣿⣿⣽⣟⣿⣿⣿⣿⣿⣿⣟⣿⣯⣿⡿⣫⠊⣰⠆⠀⠐⣿⣿⣿⣿⣿⡿⣯⣿⢿⣿⣽⣿⣿⣟⣿⣿⣿⣾⡿⣿⣿⣽⣿⣿⣷⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⢿⣷⢈⡱⢊⢥⡉⠜⣸⣿⣿⣿⣿⣾⡿⣿⣿⣿⣿⣿⢿⢛⣩⣾⣿⣿⣿⣋⣱⣾⣿⣿⣟⣾⣿⣾⣿⣿⣿⣿⣿⢯⣿⣿⡾⣫⠋⠁⠀⢿⣤⡶⠀⢹⣿⣿⣿⣿⡿⣿⣻⣿⣻⣾⣿⣿⣿⣿⡿⣿⣿⣻⣿⣿⣿⢾⣿⣿⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣸⣿⡔⣰⣿⣿⣿⣶⣿⣿⣿⣿⣷⡿⣿⣿⣿⣿⡟⣈⢯⣾⠟⠋⠉⠀⢈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣯⣿⢟⠉⠊⠀⠀⠀⠀⠈⠁⠀⠀⠈⣿⣿⣿⣿⢿⣟⣿⣽⣿⣳⣿⣿⣿⣿⢿⣿⣿⡿⣽⣿⣿⣻⣿⣿⣾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣏⣿⣻⣿⣿⣿⣿⣿⣷⣿⢿⣿⣿⣿⣇⣜⣂⣹⣧⣄⢠⣴⣿⣿⠿⠿⠟⠛⠉⣥⣾⣿⣿⡿⠿⣿⠛⠷⢶⣶⣤⣤⣤⣤⣶⠶⠶⠷⠞⠛⢿⣿⣿⣿⡿⣿⣯⣿⣾⢿⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⣟⣿⣽⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣯⣿⣟⣛⠻⣍⠯⣽⣿⣿⣿⣾⣿⣿⣿⣿⣿⣏⣿⣿⡿⣿⣿⣿⣧⡙⣧⡄⠀⠀⠀⠙⠉⠉⠉⠀⠀⠀⠀⣀⣄⣀⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢿⣿⣽⣷⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣷⠎⡿⣸⠷⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⢰⢁⣿⣿⣿⣿⣷⡈⠿⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠿⠿⠆⠀⠀⣀⠀⠀⠆⠁⠀⠀⢸⣿⣿⣿⣿⣏⣿⣾⣿⡿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣹⣾⣿⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣻⣯⠻⡴⢣⣛⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠁⣠⣤⣿⣿⣿⣿⣷⠆⠀⠀⠀⠀⠠⠀⠀⠀⠀⠈⠀⣀⣠⣤⣶⣾⣿⣿⣭⣄⣀⣀⣠⠄⠀⢸⣿⣿⡷⣿⣿⣯⣿⣾⣿⣿⣿⣿⣿⣟⣿⣿⡿⣿⣿⣿⣟⣿⣿⢿⡗ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⠸⣇⠀⢻⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⢸⣿⣿⣿⣿⣿⣳⣿⣷⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢸⣦⡘⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠂⠀⠀⠀⠈⠿⠋⢙⣮⣀⣸⣿⣿⣿⣿⠿⣿⣿⢻⣿⣿⡟⣿⣿⣿⣿⣿⣽⡿⣷⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⢧⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠟⠛⣛⣻⣿⣿⣿⣿⣿⣿⣿⠀⠌⡀⠈⢀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠁⠀⠀⡀⠀⠀⠀⠀⠈⣿⣿⣿⠿⡿⣿⣿⣿⣿⠏⡄⢻⣿⣿⣿⣿⣿⣿⣽⣾⣿⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⡿⣿⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠾⠛⢛⣋⣻⣿⣿⣿⣿⣿⣿⡀⠠⠀⠡⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⣟⣱⣛⣿⣿⠏⠀⣼⡿⢻⣿⣿⣿⣿⣯⣿⣟⣾⣿⡟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⡟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠺⠛⣛⣫⣽⣿⣿⣿⣿⣿⣿⣧⡀⠐⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⡀⠀⠀⡉⠙⠛⠋⠱⡶⣶⠋⢠⣿⣿⣿⣿⣯⣿⣷⡿⣿⡿⠀⢠⣿⣿⢿⡻⣟⣟⣿⣿⣿⣿⣿⣟⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣯⣿⣧⠀⠛⠋⠉⣭⣿⢿⣿⣿⣿⢿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⢀⣡⣴⠷⣀⣬⡐⠀⡀⢤⣿⣿⣿⣿⡿⣽⣷⡿⣿⡿⠐⠀⣾⠿⠻⣿⣾⣷⣾⣿⣿⣯⣿⡟⣾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣯⣿⣷⣴⣿⣿⣿⡏⠦⢻⣿⣿⣿⣿⣟⡿⣿⣦⣀⠀⠀⠀⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⣶⣿⣭⣦⣼⣴⠏⠀⡁⣴⣿⣿⣿⣿⣟⣿⣿⣯⣿⡟⠀⣠⣿⣿⣇⠀⠙⣿⣿⣿⣿⣿⣿⡿⣽⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣧⠀⠀⢻⣿⣿⣿⣷⣽⣷⣿⣻⢷⣦⣄⣀⠀⠀⠀⠀⠚⠳⠶⣶⠄⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⢀⣤⣿⣿⣿⣿⣿⣯⣿⣟⣾⣿⣏⣠⣾⣿⣿⣿⣿⡀⢀⣬⣿⣿⣿⣿⣿⢿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⣤⣤⣿⣿⣿⣿⣿⠟⠉⢷⠆⠈⠉⠛⠿⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣾⣿⣿⣿⣿⡿⣷⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⣿⣿⣿⣿⣿⣿⣿⠉⢙⣿⣿⣿⠀⠀⠀⢦⡀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡿⠾⢷⠿⡾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⢿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⠿⣿⣿⣼⣿⢿⣾⡟⠻⣿⣷⠀⠀⠈⣿⡀⠈⠈⠀⣰⣿⣿⣿⣿⡷⣉⢆⠳⡌⡍⢻⣴⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣶⣿⢿⡵⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠉⠉⠈⢿⣯⣿⣇⣐⠋⠹⣧⠀⠔⣻⢿⡄⠀⣰⣿⣽⣿⣿⣯⠑⡌⢎⡱⣘⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣻⣿⠿⠿⠟⢿⣯⠷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢾⣟⡿⠿⢷⣶⣟⡿⣱⢏⣿⣦⣿⣯⣿⣿⣷⣿⣷⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⣿⣿⢿⣟⣹⣤⣄⠀⠙⠻⣿⣟⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢿⣿⣿⠿⣷⣯⣼⣿⣿⣿⣿⢛⣿⣿⣾⣿⣯⣿⣿⣿⣿⣿⣿⣻⣽⡵⠞⢋⣩⡴⠿⣿⣯⣽⣿⠃⠴⢫⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⡿⠿⢋⣫⣿⣿⣶⣿⣇⣤⠶⠿⢛⡉⠡⣄⣂⠘⣿⣯⡻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣼⣿⣿⡟⣿⣿⣿⣿⣿⣭⣿⠿⠛⠋⠉⠰⠑⣶⣿⣿⣿⣿⢿⠶⣤⢤⣶⣾⣅⣾⣿⣿⡇⢀⣹⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣟⣿⣿⣿⢿⣿⣿⣿⠟⠋⢩⣾⡷⠆⠠⣴⣦⠀⢿⣿⣿⣿⣿⣎⢷⣪⣽⠟⠁⠺⠿⣿⣯⣾⡿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣹⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠉⠀⠠⣾⣿⣿⣰⣿⣯⣿⣇⣈⡍⠛⣙⠀⢀⣠⡶⣾⣿⣯⣷⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠾⠷⠞⠻⠗⠿⠾⠗⠶⠶⠞⠛⠳⠾⠶⠿⠞⠷⠻⠻⠞⠷⠞⠛⠛⠿⠿⠷⠾⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠄⠢⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣾⠟⢹⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣶⡿⠋⠁⠀⢸⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠿⠛⠛⠋⠉⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀ ⠀⢀⣴⡿⠟⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀ ⠐⠿⣿⣤⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄ ⠀⠀⠀⣿⣿⣷⣄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣿⣇⣀⣠⠴⠶⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠿⣿⣿⣿⡿⠇ ⠀⠀⠀⣿⣿⣿⣿⣿⣦⡀⢸⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠛⠛⠛⠛⠛⠛⠿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⠒⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
salutations, sir! M̸̢̱͎̪̣͙̞͕̩̱̦̻̭͇͙̰͎̝͈͛͒͑̒̿̇͒̄͗̓́͊̒̋̆͗͂̂̔̄̉̓͗̿̂̀̓̃̀̓͆̆̇̈́͊͂̉̏̂͆̕͠͝ͅͅÄ̴̢͚̫̭̯̙͖̰̖̼̝̫̪̱͈́̿̒̐̈́͐̊͘͘͠Ÿ̵̡̛̳̣̳̪̮̣̲͙̘͚̙͓̩̜́̔̓͗̀̌͋̐̀́̃́̾͊̃͒̇̅̈̇̚͘̚͝͝͝ͅ ̷̨̟̯͇̻̗͚̖͕̠̮͒͜͜I̶̩̺̣̪͉̩͈̝͂̂̃͆̓͌̆̋͊͊̎̊̉͋̾̃́̽̏̐͐̂̅̓̂̂̑̇͑̐͋̂̊͊̌͆͘̕̕͘͠͝ ̸͈̲͖͙̗̼̦̭͙͎̘̠͍̠̝̫͙͌̐̾̽̏̍͌̆͆͆̆͊͋͂͆̄̑̔̏̈͆̀͆́̇̐͌̿̐͌͒̌̔̆̈́̈́̔̓̍̄̕̕̕̕͝͠P̷̙̼̠̆̈́͋̾̋͊͌̅̽̏͛̆̌͌̈́̄́̚͝͝L̵͓͇̊̀̓̒͌̊̌̿͒́̀̀̔̈̏̂̋̋̍͠Ė̸̢̨̡̛͕̮̱̱̞̭͈̮͈͉͚̝̪̱̯̪̙̥̝̮̝͚̮̗̜̹̞̒̀̈́͒̀̓́̀͛̆̆̉̉̀͌́͘͘͜͠͝Ȧ̸̢̡̡͇̺̬̼̘͚͔͍̹̘͕̦̤̍̃̈́̋̄̌̐̾̃̄̈̿̇̅̍̋̀̊̿̿̌̍̽̔̀͆͋̈̂̚S̶̢̢̧̻͔͓̣̗̹̬̤̹͔̑̈́̏̏̄̽͌͆͊̍̔̾͒̊̀͗̒͆̌̎̾̽̃̾̚͝͝E̸̡̨̡̲̤̟̙̱̠̙̙͓̜̗̯̬̺̒͂̃́͜͝ͅ ̸̨̨̧̛̻͓̜̻̩̗̮͉͎͍̼̣̰̻͍͎̗̘̳̲̹̼̣̩͕͚̱̖͈̜̟̼̱̗̀̓̈́͗̋͊̉̓̋̌́͗̈̃͐̂̏͊̓̆̈̎͗̎̈̅̈́̔͑͑̌̈́̈́̾́͘͘͘͜͝͝͝͝͝͠ͅĘ̵̛͚̗̖̠̤̜͔͓̩͔̱̬͈̺̾̊̃̒̇̽͒̈̀̇̒͂̀̾́̚͜͠N̸̢̢͍̥̗̰̣̼͇̪̍̈́̏͐͗̆̊͐̎̒́̆̈́͆̈̄̑̑̽́̒̓̆̃̓̽̔̐̈́̀̓̃̽̐̈̎̈́̒̚̚͘̚̕͜͝͝͝͠T̵̨̡̘̰̤̱͎̞͉́̃̌̈̆̿̂̾̄͗̉̆͒͒͛͊̍͑̄́̒̈͐̓̀̏́͘͜͜͠͠Ę̵̛̻̣͛́̀̎͊̂̉̓̍̊̄̑͛͌̿̑̉͂̈́̿̇́́̀̅̃̑͛̂̌̓͋͛̏́̃̃͘̚͝͝͝R̴̙̲̬̯̊̆͂͌͌̌̀̇̈́̈́̋̀́̉̓̍̓̀͛͋̍̓͒̈̈́̍̈́͒̐͂̉̚̚̚̕̚̕͘̕͝ͅ?̴̡̢̢̖͕̠͚̥̠͉̗͔̝̖̣̤͉̱͚̫̖͈̝͕̤̖̒͆̈́̂̈́̈̊́̉̚̕͜͝!̶̺̹̹͇̹̟̖̖͕͓͎̞̘̭̞̼̬̙̐̎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣶⠶⠶⢦⣤⡴⠖⠒⠒⠲⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣾⠏⠀⢀⣀⣀⠀⠉⠀⠀⢠⣄⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣴⠟⠉⠀⠀⠀⠀⢹⣅⢹⡆⠀⠀⠀⣦⣼⠀⠀⢸⣦⣤⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⣠⠖⢦⡄⠀⠀⠙⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠳⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡀⠀⠙⢧⣄⣽⠆⠀⠀⠀⠀⠀⣠⣤⣶⣶⣾⠿⠿⠟⠛⠛⠛⠛⠻⠿⣷⣶⣶⣤⣄⡀⠀⠙⠳⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⡀⠀⠉⠁⠀⠀⣠⣴⡾⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣤⡀⠀⠉⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣽⠒⠀⢀⣴⣾⠟⠋⠀⠀⠀⣠⣴⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⠀⠀⠙⣻⣷⣄⡀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠟⠁⢀⣴⡿⠛⠁⠀⠀⠀⣀⣾⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡇⠀⠀⠀⠻⣷⡀⠀⢻⣯⡻⣿⣦⡀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡼⠋⠀⢠⣿⠟⠀⠀⠀⠀⠀⣢⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⢠⡄⠀⠘⣿⣄⠀⠹⣿⡈⢻⣿⣄⠀⠹⣆⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡞⠁⠀⣴⣿⠃⠀⢀⣤⠀⠀⣰⣿⠣⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⣿⣦⠘⣿⡀⠀⠈⣿⣶⠾⠛⡛⠛⢋⣥⠤⣄⡈⠻⣦⠀⠀⠀⠀⠀ ⠀⢀⡾⠀⠀⣰⡿⠁⠀⢀⣾⠇⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⠀⠀⠀⠀⠀⢿⣿⡆⢹⣧⠀⢠⡿⢡⡶⢋⣉⠻⠏⢠⣶⡌⢻⡄⢸⣧⠀⠀⠀⠀ ⠀⣸⠃⠀⢰⣿⠃⠀⢠⣿⡟⠀⠀⣿⡏⢀⠀⠀⢀⣀⠀⠀⠀⣿⡇⢉⡾⠀⠀⠀⠀⢸⡏⣿⡈⣿⡄⢸⡇⢸⡀⢿⣿⣷⣄⡿⣿⡇⢸⡇⢰⣿⠀⠀⠀⠀ ⢠⡏⠀⢀⣿⡏⠀⠀⠁⣿⠇⠀⣸⣿⠁⠀⢀⣠⣸⡇⠀⠀⣰⣿⡇⣿⠁⠀⠀⣾⠀⢸⠇⠘⣷⣸⣷⠀⣷⡈⢷⡈⠻⣿⣿⣷⡿⢀⡿⠀⢾⠏⠀⠀⠀⠀ ⣼⠁⠀⣸⡿⠀⠀⠀⢸⣿⠀⢠⣿⡏⢀⣠⣾⣯⣿⡁⠀⣼⣿⣿⣿⡇⠀⠀⢰⣟⣀⣿⡀⠀⠸⣿⣿⡀⠈⢷⣄⠙⢶⣌⠙⠛⣠⠟⠁⠀⢸⠀⠀⠀⠀⠀ ⡇⠀⠀⣿⠇⠀⠀⠀⢸⣿⠀⣼⣿⠛⣽⡿⢃⣿⡟⢀⣼⢻⣿⣿⠏⠀⠀⢀⣿⡏⣹⡏⠉⠙⠳⢿⣿⣇⠀⠀⠉⣿⣦⣌⡙⠛⢋⣼⡇⠀⢸⠀⠀⠀⠀⠀ ⡇⠀⢰⣿⠀⠀⠀⠀⢸⣿⢀⣿⣿⣾⡿⢁⣾⣿⣷⠟⠁⣾⣿⠏⠀⠀⢀⣾⣿⣰⡟⠀⠀⠀⠀⠀⣿⣿⢠⡀⠀⢿⣿⡿⢻⣿⣿⣿⡇⠀⢸⠀⠀⠀⠀⠀ ⡇⠀⢸⣿⠀⠀⠀⠀⠸⣿⣾⣿⣿⢋⣴⣿⡿⠛⠁⠀⣰⡟⠁⠀⢀⣤⣾⣿⣷⠏⠀⠀⢀⣠⡄⠀⢸⣿⢸⡇⠀⣸⣿⣷⣿⣟⣿⣿⠃⠀⣼⠀⠀⠀⠀⠀ ⡇⠀⢸⣿⠀⢰⡆⠀⠀⣿⣿⣿⣷⣿⣿⣿⣤⣀⡀⣴⣟⣀⣤⡶⢟⣿⣿⠟⢁⣤⣶⣿⣿⣿⣿⣿⣬⣿⣸⡇⠀⣿⣿⣿⢿⣿⣽⣿⠀⢀⣿⠀⠀⠀⠀⠀ ⡇⠀⢸⣿⠀⢸⣷⠀⠀⢻⣿⣿⡿⢫⡿⢿⣿⣿⣿⣿⡛⠉⠁⠀⠚⠋⠀⠠⠿⡿⠻⣿⣿⣿⣿⡝⣿⣿⣿⠇⠀⣿⠈⣿⣿⣿⣿⣿⡄⠀⣿⠀⠀⠀⠀⠀ ⡇⠀⠸⣿⠀⠈⣿⡄⠀⠀⢿⣿⣅⢸⣷⣾⣿⣿⣿⡎⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠿⠿⣿⣿⣳⢟⣿⣿⠀⢰⡿⣰⣿⣿⣿⣿⣿⡇⠀⣿⠀⠀⠀⠀⠀ ⢻⡀⠀⢿⣧⠀⢿⣧⠀⠀⢸⡇⠙⠦⠻⣦⣤⣼⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠁⢸⣿⡿⠀⣸⣿⣿⣿⣿⣿⣿⣿⠇⠀⣿⠀⠀⠀⠀⠀ ⠈⣧⠀⠘⣿⣧⠘⣿⡆⠀⠈⣿⡀⠀⢠⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠾⠀⠀⣼⣿⡇⢠⣿⣿⣧⣿⣷⣿⣿⡟⠀⢨⡯⠀⠀⠀⠀⠀ ⠀⠸⣇⠀⠈⢿⣷⣼⣿⣄⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠀⣾⡟⠉⣽⣿⣿⠟⠛⠁⠀⠚⠋⠉⠙⠳⣦⠀ ⠀⠀⠘⢧⡀⠀⠻⣿⣿⣿⣷⣜⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠻⣧⣄⣠⡼⠃⠀⠀⠀⢀⣀⣴⣾⣿⣿⢁⣼⣿⣿⣿⣿⣿⠏⠀⣀⠀⠀⠠⠴⢶⡄⠀⢸⠀ ⠀⠀⠀⠈⠻⣆⡀⠈⠛⢿⣿⣿⣿⣿⢿⣿⣿⣷⣶⣶⣦⣤⣤⣤⣭⣭⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣣⣿⣿⣿⣿⣿⡿⠋⠀⣰⡟⠀⠀⠚⠒⠚⠁⠀⣸⡇ ⠀⠀⠀⠀⠀⠈⠿⢦⣀⠀⠈⠛⢿⣿⣷⡂⠀⠀⢸⣿⣿⡟⣋⣽⣧⣴⠞⠋⣛⣿⣿⡻⠟⢋⣿⣿⣿⡿⠛⠉⠙⠉⠀⣠⠚⠛⠀⢀⡤⢤⣄⡀⠀⢸⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣦⡀⠀⢹⣿⡀⠀⠀⠀⣿⣷⣙⣿⣿⣿⣿⣻⣾⣯⣾⣿⣷⢀⣾⣿⡿⠋⠀⢠⣴⣧⡼⠋⠁⠀⠀⠀⠺⣧⣀⣈⡿⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⣼⠟⠛⢻⣷⠀⢹⣿⣿⣦⡆⣈⠙⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⣠⠶⢿⡿⣿⠀⠀⢰⠲⣤⡀⠀⠀⠉⠉⠀⢠⣾⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⣿⣷⣤⣨⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⠀⠀⠘⢿⡇⠸⣧⣹⡇⠀⠸⣆⡀⣹⡆⠀⣶⣒⣶⠾⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢻⣿⣿⣿⣿⣿⣿⣾⡇⠀⠈⣧⠀⠉⠋⣻⣦⠀⠈⠛⠁⠀⣠⣾⠟⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠙⠛⠿⠿⠿⠻⠿⠿⠟⠛⠿⠿⠾⠟⠛⠿⠛⠛⠻⠿⠃⠀⣸⡇⠀⠀⠀⠈⠻⠯⣤⣠⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⡀⠀⠀⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀ ⠀⠀⠈⢻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣿⣷⠈⣹⢯⡉⠉⣿⠉⠀⣤⡴⠤⢴⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⢸⡏⣿⣾⣿⡇⢳⡀⡟⠀⣾⣿⡧⠤⠖⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⢈⡿⠫⠿⣿⣧⣶⠵⠃⠈⠁⠀⠀⠀⢀⣿⣿⣿⣿⡿⠋⠀⠀⠀ ⠀⣠⣶⡶⣶⣯⣷⣦⣀⡈⠀⠘⣆⡠⠖⠁⠀⣀⣤⣾⣿⣿⠟⠃⠀⠀⠀⠀⠀ ⣼⡏⣿⡞⢉⣯⣹⣿⣿⣿⣿⣶⣶⡷⢶⣺⠿⢻⡿⣽⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣥⣿⣿⣿⣿⡟⢿⣿⣿⢋⣼⣿⠞⠻⣾⣿⡇⠀⢱⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠛⠿⠿⣿⠁⡾⠛⢳⣿⣿⣿⣿⣿⣾⣿⣿⣿⡷⢞⠉⠧⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣇⣴⠋⣩⣧⡟⢻⣿⡀⣰⣿⣿⠁⠘⣇⠀⠈⠳⠾⠻⠯⠵⡆ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⢿⣫⣴⣿⣿⣿⣿⣿⣿⣷⣦⣜⢦⠀⠀⢀⠤⠤⠔⠃ ⠀⠀⠀⠀⠀⢠⣿⠟⠁⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠳⡄⢘⡆⠀⠀⠄ ⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⢹⡿⣿⣿⡿⠿⢛⡏⠀⠀⠄⠀⠉⠋⠀⠂⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣄⣠⡇⡇⠀⠈⠣⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡇⠙⣄⠀⠀⢈⣷⠀⠀⠀⠀⠀⠀⠀⠀
⣄⢠⣠⠴⢿⡿⣿⠿⡿⢛⠓⠚⠙⠉⠉⠡⠐⠠⢀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠔⣀⠔⣢⠓⡬⢣⡙⡌⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢉⠛⠻⠿⢶⣾⣷⣦⠶⣦⣤⠀⠀⠀⠀⢣⠎⡤⣀⣠⣀⠀⠰⠀⡄⠢⠐⠠⠀⠰⢀⠐⡀ ⢋⠖⣐⠂⠄⡉⠠⠀⢄⠠⣀⢀⠂⠡⢌⠠⠡⢁⠂⠠⠀⠀⠀⠀⠀⠀⢀⡠⡜⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠜⡸⣐⠫⡔⠙⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠐⡄⠀⠀⠀⠉⢉⠉⣵⡙⠒⠒⠶⣍⡾⠋⠁⠀⠀⠉⠣⡍⣄⡠⠤⣀⠀⠁⠂⠂⡅ ⡍⠘⠀⠀⢀⠠⠁⠌⡀⠒⠀⠄⡈⠁⠢⠁⠄⠀⠀⠀⠀⠀⠀⣀⠴⣊⠶⣱⠱⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠃⠌⠂⠑⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢃⠐⡠⠀⠸⢀⣀⠀⠍⠀⠁⠒⠁⠀⠀⠀⠀⠀⠈⠓⠯⢿⣳⣯⢬⣀⠀⠄⣠ ⠄⢀⠠⠌⣀⠂⠅⠒⡈⠄⠡⢀⠁⠀⠀⠀⠀⠀⣀⡤⣴⣚⠭⡌⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠤⢄⣀⣀⠤⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⡀⢌⠐⠀⠀⠀⠀⠁⡔⠉⠉⠁⠀⢠⠀⠉⠀⠀⠀⠀⠀⣀⠈⢉⡛⣎⠷⡊⢷ ⡁⠆⠒⡠⠄⠂⠌⠀⡀⠀⠀⠂⠄⠢⠀⠠⢴⣚⢧⡛⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣖⠺⣅⣦⠧⢒⠍⡜⠡⢎⠄⡂⠀⠀⠀⠀⠀⠀⡠⠒⠂⢄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠐⡌⢢⠃⠅⠂⠀⣠⠈⢀⠀⠀⠀⠈⣦⡀⠔⢁⠀⠀⠈⠀⢁⠬⢥⣿⡿⠷⠋⠀⠀⠈⠐ ⠐⣈⠐⠡⢈⠘⡀⠁⠀⢀⣠⡤⠊⠁⠀⠈⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣾⡿⣽⣭⢛⣬⣲⠜⣌⡚⣌⠳⣌⢧⡐⠀⠀⠀⠒⠮⣝⣒⠓⡮⢥⣎⠳⣦⣀⠀⠐⠠⠁⠄⠁⠁⠀⠀⠈⠀⠀⢘⠄⠀⠀⢳⡖⠀⢃⠀⠡⣄⠜⠐⠄⡠⠒⢣⠀⠘⠃⠇⠀⠀⠀⠀⠀⠀ ⢁⠠⠈⠄⠁⢂⣰⠠⡟⣧⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡴⢛⣯⣿⡿⣯⣟⣞⣿⡝⢾⣏⡱⢆⡫⣔⢣⡜⡳⣬⢳⡞⣽⣒⢦⡚⡴⣡⢋⡛⢶⣣⠞⡹⢦⣍⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⣼⠃⠀⠘⢄⢠⡿⠀⠊⢀⡕⠂⠄⠀⢠⡴⠳⠉⠀⢀⡤⠀⣠ ⣠⡴⣼⢶⣛⠯⠛⠁⠉⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⣹⢹⠻⣿⣯⢿⣷⣻⣾⠏⢺⠦⡹⣎⣷⣱⢮⣷⣝⡷⣭⢷⣹⢧⣟⣮⣓⢷⣆⠗⠪⠧⣎⠻⣕⠲⡸⢟⡸⡜⡢⣄⠀⠀⠀⠀⠀⠀⠀⠈⠦⠀⢐⣶⣿⣒⠤⢮⡙⣄⡸⣈⠀⠁⠤⡤⠶⠿⣷⡀⠁⠂⠀⠀⠀⠢ ⡯⠙⠁⠁⠀⢠⢀⠠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⢀⣼⣿⣣⠻⣴⡙⣻⣾⣿⠟⣄⠈⢧⠉⢻⣿⣽⣻⡿⣯⢿⡽⣯⣟⣯⠾⣵⣫⠾⡇⢀⡠⠼⣅⠳⣘⠷⣕⢪⠱⣌⠱⢌⠳⣄⠠⠀⠀⠀⠀⠀⠣⣀⡀⠏⠀⢀⢄⠀⠑⢼⣌⣙⣻⣶⠤⠲⢤⣲⠚⢳⡄⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⣴⣿⢿⣾⡜⣛⠽⣖⣹⠹⣧⢂⠸⡄⢸⠏⡀⢼⣿⣹⣟⣯⡿⣽⣷⣫⣞⢿⣱⠿⣖⣯⢓⡼⠛⠻⡞⢢⡙⢎⢧⡳⠚⢉⠵⢊⠌⠳⡄⠀⠀⠀⢀⡜⣏⢳⣤⠐⢃⡬⠃⢀⡌⡿⠀⢀⠳⢄⣀⠚⠛⢀⡄⠋⠒⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⢀⣾⡿⣯⢿⣽⣞⡭⣛⠿⣌⡳⢼⣧⠂⢹⣞⠤⠄⣸⣿⡿⣯⣷⣿⢷⣯⣷⠟⠉⠁⢉⡽⣗⢫⡇⣀⠤⢿⣜⣸⣘⣆⡻⣍⠳⡘⠬⣌⣲⣚⢻⢤⡀⡞⠁⣿⠀⢻⣍⠁⠑⠒⠊⠀⠉⠒⠤⢊⠤⠛⣄⡰⢿⡿⠀⡠⡿⠷⠻⠻ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⢒⠢⠍⡙⠒⡽⣒⠲⠿⢯⣿⣽⣻⣞⣿⣝⡶⣝⣺⡕⣿⢾⡳⠋⢀⠂⡤⣹⣯⣿⢿⣻⡾⣟⡞⠁⢀⣠⡶⣿⣲⡟⢉⠎⠤⡘⢰⣘⣇⠀⠀⠈⢦⡻⠊⠉⠲⡡⢳⡘⣣⡙⢧⠀⠋⠀⠂⠙⢧⠀⠀⠄⠂⢁⠊⡔⢡⢊⡑⣎⠀⣠⢇⣀⠇⡐⢂⠡⢀ ⠀⠀⠀⠀⠀⠄⡐⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠭⣀⠢⡙⢚⣲⣓⠾⠳⣤⣍⡛⢯⣒⢮⣍⠻⣿⣿⡿⠛⣮⣹⣿⢫⡾⠡⠀⠀⣈⣴⣿⢿⣽⣻⢯⣟⣿⡻⣏⢟⡞⢠⡗⣹⢐⢪⣘⣤⠵⠊⠀⠘⣧⠀⠀⢀⠁⠀⠀⠀⢰⠠⠹⡄⢳⡀⢣⠀⡀⠀⠀⠤⣀⠲⠈⠁⡀⠂⠌⡐⢢⠐⡌⣉⠆⢢⠉⡔⠡⠌⢂⠂ ⠀⠀⠀⠀⠉⠂⠐⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣭⢒⣬⠮⡵⢞⢭⡹⣙⠿⣬⣷⣩⣽⠿⢤⣀⣼⡟⢘⣿⣧⢦⣿⣟⣯⡷⣯⣟⡾⣽⢯⣟⡾⡳⢭⠎⠀⠞⣞⣇⡮⠖⠉⠀⠀⠀⡀⠀⢸⡇⢔⣻⠀⠀⠀⢠⠮⠤⢅⢳⡀⣷⡆⡇⠀⠁⠀⠁⠀⠀⠀⠀⠀⠁⠂⠌⣀⣧⣔⠢⠘⣄⣱⠊⠳⡌⠐⡈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣳⣦⡛⣼⡩⣖⡧⡿⠚⠉⣩⢽⡷⣆⡨⢻⢳⠊⡛⣿⢾⠿⣦⣌⢭⢛⢷⣯⢿⣺⣿⢮⣳⠟⠁⢀⠌⢀⠋⠀⠀⠀⠀⠀⠀⠸⢳⠀⠀⣿⠀⡉⠒⣲⠊⠁⠀⠀⠀⠑⣇⠂⡏⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⠙⣏⠁⠉⠀⢠⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣖⣻⣛⣭⣟⣿⣶⡷⠙⢚⣴⢻⡻⣝⠮⢶⣽⣷⡛⠉⣷⠿⣿⣭⢿⡔⡛⠾⣟⣳⠟⣵⣿⢾⡿⠁⠀⢀⠊⢠⠊⠀⠀⠀⠀⢀⠀⠀⢠⡇⣣⠀⡘⣇⢠⠜⠁⡄⠀⠈⠠⡀⠀⢹⠀⢡⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⢄⡀⠀⣜⠃⣀⡾⠱⡈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢛⠳⠭⣯⣟⡽⣙⣮⢿⡹⣷⣾⣭⣷⣿⣾⣿⣿⣿⠟⢳⢳⢷⣀⡤⡛⢿⣟⠛⠛⣿⣿⣿⠟⠁⡜⠀⠀⡠⠁⡐⡁⠀⠀⠀⠀⠀⢸⠀⠀⡈⡇⢡⣇⠹⣸⠁⠀⡄⢡⠀⠀⠀⡈⠢⢠⡇⢸⡀⠐⡟⢄⠀⠀⠀⠀⠀⠀⠀⠘⠧⠿⠼⠛⠛⢉⡉⠉⡀⠑⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⢰⠋⠀⠀⠀⠈⠻⢯⣽⣚⣻⣽⣿⣿⣿⣿⣟⡷⣻⠿⡧⡔⢻⣘⣠⣷⡁⢾⡈⣷⠦⡝⣿⡏⢀⡞⠀⢠⡎⢠⣮⠞⠀⠀⠀⠀⢀⠎⢸⠀⠀⡅⡇⠀⢫⡄⢻⠀⠀⠁⠘⠈⠰⡀⠐⠄⠑⠇⢨⡇⠀⣿⠈⠦⢢⠀⡰⠒⠢⠀⠀⠀⠀⠀⠀⢰⠁⠈⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⣅⣈⣁⡀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⣽⣿⣟⣼⡿⣯⢳⣿⣶⣿⣿⣿⣷⣶⣠⠙⠃⣀⣿⣴⡟⣡⠖⡋⣴⣿⠏⠀⠀⠀⣀⣴⡏⠀⣼⠀⠰⠀⠁⠀⠈⣽⣻⠆⠀⠀⠀⠀⠀⠀⠢⠈⢄⠈⢏⠄⡘⠀⠙⠆⠀⠉⠃⠀⠈⠁⠈⠆⠀⠀⠀⡄⠒⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠫⡯⣽⡭⢷⣲⣤⣀⣠⣿⣿⣿⣿⣿⣿⣟⣿⣿⡳⢾⣹⡟⢋⣵⣿⣿⣿⣿⣯⣟⡿⣿⣧⣿⣿⣟⡯⢓⣞⣾⠿⣭⢃⣠⡴⣏⢯⡟⠀⡴⡙⢀⠇⠸⠀⠀⠀⢹⢿⡅⠀⠠⠰⠀⠀⠀⠀⠐⡈⡆⠈⢦⠃⣹⣀⣰⣲⠀⠀⠀⠀⠀⠴⠥⢤⠤⠒⢺⣤⠖⠀⠀⠀⠂⠒⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⢻⣽⡾⣗⣯⣟⣿⣿⣿⣿⡿⡟⣽⣻⣿⣿⣹⣏⣾⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣛⢿⣹⡟⣠⣾⡿⣫⢟⡻⣏⢾⡱⣎⡟⣠⡞⢡⠃⠌⢠⠃⠀⠀⠀⡜⢸⡇⠀⢰⠀⣧⠈⢆⠀⠀⠐⣰⡄⠀⢿⣿⡏⠹⢁⣵⡄⠰⣄⡀⠚⣴⡎⠀⠐⢃⠀⠀⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡞⣿⣽⣷⣿⣾⣿⣿⣿⢳⣻⣾⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⡿⣿⣷⢫⡟⡶⣭⢻⣼⡿⣿⢽⡳⡷⣭⢓⢮⢇⡷⣯⣟⠋⠀⣌⠎⢠⠂⠀⠀⠀⢀⠃⡍⡇⠀⢸⠀⡿⣓⡄⢳⡤⡀⠙⠤⢀⡰⠉⡐⠷⠘⠀⠃⠈⢀⠘⠠⢌⡇⠀⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠐⠈⠀⠀⠀⠀⠀⠀⢀⣠⠤⢒⢾⣹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⢹⡟⣮⠳⣍⠳⣬⣳⢫⢿⢋⢞⡿⡱⢎⡝⣮⣾⣿⠯⠁⣀⣼⣇⣔⣁⣀⣀⠀⠀⡌⠀⠂⡅⠀⡄⡆⡅⢩⠛⠦⣕⢭⠖⣾⢶⠐⢠⠹⡖⠄⠒⡏⢀⠃⠀⡄⠊⠣⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠀⠐⠶⣛⡳⣲⠟⣚⣞⡿⢿⣿⣿⣱⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢁⡿⡸⣥⣛⣌⡷⢶⢧⢿⣺⣌⣾⣰⡵⣞⢫⣽⠞⠃⠀⣠⠾⠓⠉⠀⠀⠀⠈⢉⠝⠉⠉⢹⡃⠀⠇⢢⡄⠀⢦⡀⠐⣉⠙⢶⣏⡘⣼⠀⠇⠀⠁⠌⠅⠁⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠑⠯⣞⡽⣳⣯⢸⣿⣿⣷⣽⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⣾⢶⡿⢩⢁⠎⣰⢿⡞⠀⠹⣽⣻⢟⣹⠜⠯⠶⠶⠶⠚⠀⠀⠀⠀⢀⣀⣀⡠⠊⢀⡀⠀⢰⠁⢸⢠⢻⠻⣦⣀⣻⢶⣄⡉⠆⡌⠳⣅⠜⡀⠀⠀⠸⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠿⢿⣍⣻⣦⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣵⡿⢖⣣⠼⠚⣁⣸⣇⡤⠴⢻⡟⢯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠴⠚⣉⣤⣶⣷⣿⣿⣷⣿⣿⢠⣷⣼⡌⢓⡻⢉⠄⠢⠁⣸⠎⡔⡱⣸⠃⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣷⣮⣽⣷⣶⣶⣶⣶⣵⣌⠁⠀⠉⠙⠛⠦⠀⠀⠀⠀⠀⠀⠀⣴⠾⢻⣿⣿⣿⣿⡷⣦⡟⡉⢹⣿⢿⠋⡽⢠⣃⣄⠀⠂⢿⡯⡓⠴⢧⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣾⣻⢟⣽⣻⣿⢟⣿⡿⣽⢯⣿⣋⣿⣿⣿⣿⣟⣿⣵⣿⡿⢿⣿⣿⣿⣿⣿⣭⣿⡛⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣽⣶⠯⠥⢔⣿⢤⢡⣫⡿⠁⠀⣱⠝⠁⠘⣆⠀⡜⢿⠷⠠⡀⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠈⠳⠤⢤⠀⠈⠃⠀⠀ ⠈⠓⢦⣄⣀⡀⠀⠀⢀⣠⡤⠶⠚⠛⠛⠛⢛⣻⡷⣫⡾⣞⣻⣯⢟⣾⣽⣿⣿⣿⣾⣿⣻⣿⣿⡏⡟⣞⠛⢂⡀⣩⣷⡤⠭⡴⣿⢯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣠⢣⠿⠋⠀⠀⢀⠃⡇⠀⢀⠞⣰⡟⠀⠀⠠⠰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠁⠀⠃⡀⠀⠀ ⠀⠀⠀⣈⡽⣿⣿⢾⢻⡖⢶⠲⣖⣶⢾⢻⣛⠿⣙⣧⢿⠾⣝⣿⠻⣼⡿⣿⡽⣾⣿⣿⣻⣿⣿⣧⢹⢹⣆⢰⠇⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣻⠗⠁⠀⠀⠀⠀⢸⣠⠧⢒⢋⣤⡿⣽⠀⠣⡀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠉⠀⠀⠀⠀⠀⠀ ⣠⠦⣝⣚⢻⣑⠺⣎⣱⡼⢗⡻⣙⢦⣫⠾⣞⠻⡝⢮⡭⣻⣿⡟⣿⣻⣟⣿⣽⣿⣿⣽⢿⡿⠹⣿⡍⣷⠈⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠚⠁⠀⠀⠀⠀⠀⢀⣿⣁⠂⣀⣿⢯⣟⡟⡆⠀⢹⡆⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠥⣋⠦⡩⢖⣩⡷⠞⣭⣲⡭⢖⡻⢍⠶⣙⠬⡳⢍⡳⣜⡷⣋⣾⣽⢻⣾⣿⣿⣻⣯⡏⣾⡱⢄⡈⣿⣞⠳⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣼⡇⠀⠙⣯⣿⣿⠃⢠⠀⠀⢹⣓⣔⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠉⠀⢉⠝⣡⠾⣚⠩⠐⡌⠳⠷⣎⣖⣡⡓⣍⣾⣛⣥⢷⢫⢳⣎⣿⡿⣟⣷⣿⡟⢸⣿⠟⠛⢿⣿⡿⣷⠽⣢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⣵⣿⡶⣶⣿⣿⠃⠀⠀⢆⠀⠈⣇⢾⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠔⡥⠊⠁⠀⠈⢳⣇⠈⠙⢧⢊⠴⢩⡙⠭⡍⢶⡸⠞⠓⠧⣾⣏⡿⣽⣾⡿⠀⣾⣷⣠⣤⡆⠈⢹⣿⣧⠈⠉⠓⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣿⣯⣿⡽⣷⣛⣷⣿⠃⠀⠀⢂⠘⣧⡀⠘⣟⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠊⠀⠀⠀⢀⡆⠀⠹⡕⢄⡀⠎⣐⠣⣘⢱⡼⡏⠀⠀⠀⢀⣠⣼⣻⣿⡟⢠⣻⢿⡽⢯⣟⡿⣶⣾⡿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠚⠉⢡⡿⣹⢧⡟⣵⣟⡷⠃⠀⣠⢆⠸⠀⢹⣵⣦⡘⠟⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢸⡇⠀⠀⠈⠳⠬⢵⣶⣵⢚⣭⣺⡇⠀⣠⡚⢯⣳⣾⣿⠏⣠⣟⣿⢏⣞⣻⢼⣽⡿⣏⠿⣵⣿⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠠⠄⠠⠀⠔⠒⠒⠉⠋⠀⠘⣄⠀⠀⠀⠀⢀⡴⣛⠼⣽⣯⣞⣿⠚⢀⡤⠞⡡⠋⢰⡀⠀⢆⡁⠏⢠⢎⠐⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⣀⣄⡀⠀⠀⣶⡦⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣶⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀ ⠿⠿⠇⢰⣶⣿⡏⣿⣧⣶⣶⣰⣶⣶⣶⣶⣶⡶⣶⣰⣶⣶⣶⣿⣿⣿⢲⣶⣶⡖⠀⣰⣶⣶⡖⣿⢠⣶⣶⣶⣶⣶⣶⢤⣶⣦⣶⢶⣦⣴⣶⠆⠀⢠⣶⣶⣶⣾⣿ ⠀⠀⠀⢸⣿⣿⡇⣿⣧⣽⣿⢿⣿⣼⣿⠀⢿⣯⣿⢿⣿⣽⠇⣿⣿⣿⡈⣿⡿⠁⠀⢻⣿⣿⣿⣿⡸⣿⣾⣿⣿⣿⣿⡸⣿⡼⣿⣭⡽⣯⣿⡇⠀⠸⣿⣾⡇⢸⣿ ⠀⠀⠀⠀⠉⠁⠀⠁⠁⠉⠁⠀⠉⠉⠀⠀⠀⠉⠁⠀⠉⠁⠀⠁⠀⠈⠀⠿⠇⠀⠀⠘⠷⠿⠃⠉⠀⠉⠈⠈⠀⠁⠈⠀⠈⠁⠈⠉⠀⠈⠉⠀⠀⠀⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⣤⡤⣤⡄⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣀⣤⣤⣤⣤⢠⣤⣤⡄⣤⣤⠄⠀⣿⣧⣤⢀⣴⣤⣤⣿⡇⣿⣇⣴⣤⡄⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡏⣿⣯⣿⣿⣿⣿⡇⣿⡏⠀⠀⣿⣯⣿⢿⣿⣿⣿⣿⡇⣿⣏⣿⣷⡄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠀⠈⠙⠋⠀⠙⠋⠁⠉⠁⠀⠀⠉⠉⠋⠀⠙⠉⠉⠉⠉⠉⠉⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡴⠶⠶⠒⠒⠒⠒⠙⠙⠒⠒⠲⠶⠶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠉⠁⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⢀⡼⢃⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠄⠀⠀⢀⠏⢀⡎⠁⠀⠀⢀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⣸⢷⣄⠀⠀⠀⠀⠀⠀⢄⠁⢢⡀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠃⠀⠀⠀⢠⣉⠠⠉⣀⣠⢤⡾⣋⣤⢖⡿⠁⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠻⣦⡀⠀⠀⠀⠀⢈⠂⣸⠃⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⡀⠀⠀⠀⠀⣼⡿⠛⠉⠹⠞⠛⠉⣩⣴⠋⠀⠀⠀⣀⡠⠂⠀⣠⡾⠋⠀⠀⠀⠘⣷⠀⡀⠀⠀⠀⠿⠋⢀⠀⠀⠀⠀⢸⡧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⡇⠀⠀⠀⢠⡟⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠁⣀⡶⠿⠴⠖⠛⠁⠀⠀⠀⠀⠀⠀⢸⣴⠁⠀⠀⢀⡀⣠⠛⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠇⠀⠀⠀⣸⠅⠉⠉⠉⠙⠛⠶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡿⠀⠀⢀⣿⣎⣯⡄⠀⢠⡆⣴⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⢽⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠶⠶⢶⣶⡄⢼⠇⠀⠀⡽⠁⠀⢙⣷⠀⢸⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⡀⢸⡝⣿⣷⣦⣄⡀⠀⠀⠀⠖⠶⠤⠤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢩⡟⠀⢀⡾⠁⣀⣴⢟⣷⢀⣼⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣄⣷⡈⠛⠉⠛⠻⠛⣳⣶⠦⠤⢀⡀⠀⣰⣃⣀⣀⣀⣀⣀⣀⣤⣴⠏⠁⣠⣿⢿⡿⣿⡿⢠⣿⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣄⣠⡄⠀⠈⠉⠀⠀⠀⠈⠉⠉⠉⠉⠉⠙⠿⣍⢉⣭⢟⣣⡴⠾⠿⠿⣻⣿⠿⠸⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣟⠉⠀⢲⣤⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠾⠟⠛⢋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢦⣀⣠⣽⣿⠓⠒⠶⡦⣤⣤⣤⣀⣀⣠⣼⠶⣤⡴⠈⠻⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡿⠿⠍⢁⠀⠀⠀⠀⠁⠀⠀⠒⢛⣺⡿⠟⠋⠁⢀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾⣋⡀⠀⠀⠨⠁⠈⠐⠂⠀⠀⠀⠰⣎⡉⠙⢲⣶⣾⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠶⢶⢤⣀⣀⣀⣀⡀⠀⠀⠀⢰⣏⠩⠉⢀⣈⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⠈⠉⠉⠉⢹⠻⡟⠛⠉⠉⠉⠙⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⡀⠀⠀⠀⢻⠀⠙⣦⡀⠀⠀⠀⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⠲⢒⣒⣿⠀⠀⠘⢳⣄⣀⣠⡤⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠉⠁⠀⠀⠀⠀⠹⣶⡶⠿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⠶⠶⠾⠛⠛⠛⠷⠶⠶⢶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠾⠛⣫⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣝⡻⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣶⢟⡭⣰⡾⠋⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠈⠻⣦⠙⠿⣦⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⠏⡝⣡⣾⡿⡁⠀⠀⠀⢀⡇⠀⠀⠀⡀⠀⠀⢀⠰⠁⠻⣧⡀⠀⠙⣷⡡⣬⡻⣦⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⢡⠎⣰⣟⣿⠞⠃⠀⠀⡌⣼⠇⠀⠀⢠⠃⢀⡆⣸⣦⡸⠈⢻⣧⠀⠀⡌⣷⡈⢻⡿⣷⡀⠀⠀ ⠀⠀⢠⣿⢣⠇⣼⣿⣿⠃⠀⠀⣀⣀⣵⡿⢀⡀⠀⣸⠰⠀⣆⣾⠚⢿⣆⢪⣿⡄⠀⠱⡼⣇⣾⣇⠼⣷⠀⠀ ⠀⠀⣾⠇⠀⣸⣿⡿⡃⠘⠛⠛⣫⡽⣿⣳⠋⠀⡼⢡⠃⠐⣹⡿⣦⣄⣹⣿⢺⣯⠀⠈⠈⣿⠉⢿⣆⢹⣇⠀ ⠀⣸⡟⠀⢀⣿⣿⡻⡀⢠⣠⣶⣋⡾⡇⠁⠀⡼⠃⣺⠤⢊⣾⢇⠂⠈⠉⢻⣿⣿⠀⠀⠀⣿⠘⣼⡟⠈⣿⡀ ⠀⣿⠳⢀⢸⣿⣯⣤⣵⣿⣿⣶⣟⡻⣷⣠⣜⣁⣰⣿⣤⣼⣣⠊⠀⠀⠀⠈⣿⣿⠀⠀⡀⣿⠀⢿⣆⠀⢻⡇ ⠀⣿⠀⠸⢸⠭⣿⠟⠉⠴⡟⠙⠻⣿⣿⣿⡵⠟⢩⣧⢟⣡⣶⣾⣿⣿⣶⣤⣸⣿⠀⠀⠁⣿⢀⣿⣧⠀⢸⡇ ⢰⣿⠀⠀⢺⡇⢿⠀⣰⡴⣟⣷⡜⢸⡏⠀⠀⠀⠉⠁⠟⠻⡍⠈⠀⠹⣷⠙⣿⣿⠠⣢⢠⡿⣾⣿⣿⡀⢸⡇ ⢸⣿⠀⢀⣼⡇⠀⠀⢻⡟⠴⠫⣄⣼⡇⠀⠀⠀⠀⠀⣶⠴⢻⡿⠆⠀⣿⡇⢘⣿⢛⡅⢸⣧⡈⢹⣷⠇⣸⠇ ⠈⣿⠁⣼⠏⠀⠀⢄⠈⠻⠶⡴⠿⠋⠀⠀⠀⠀⠀⠀⢿⣦⠒⠒⢦⣰⡿⠁⢸⣏⡏⣞⡿⠀⣻⠀⣿⣆⣿⠀ ⠀⣿⣀⠻⣶⡄⠀⠈⠆⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠙⠷⠶⠾⠋⠀⢂⣿⡸⣁⣿⠇⢀⠏⣰⡿⣽⡏⠀ ⠀⠹⣿⢠⣿⡿⢶⣤⣀⠀⠀⠀⠀⠀⠘⣯⡛⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⠧⡧⣿⢏⣀⣠⣾⣿⣷⡟⠀⠀ ⠀⠀⠹⣷⡏⢿⣦⣿⣿⣻⡶⣦⣤⣄⣀⣈⡛⠋⠀⡀⠀⢀⣀⣀⣤⣶⣿⢏⢢⣿⢻⡟⣻⣿⡟⣿⡟⠁⠀⠀ ⠀⠀⠀⠙⠗⠀⠈⠋⠉⠉⠀⠀⠈⠉⠉⠉⠉⠛⠛⠛⠛⠛⠉⠉⢉⣼⢏⣾⢿⣯⣼⡟⠋⠉⠀⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠿⠛⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣲⣶⣿⣿⣾⡷⠿⠛⣿⣿⣿⣿⣿⣿⣶⣦⣦⣤⣤⣀⣉⠉⠑⠢⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡿⠟⠛⠉⠉⠀⢀⣲⣯⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⣿⣿⣿⣷⣤⣄⣈⠑⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢾⣿⡿⠛⠁⠀⠀⠀⠀⢄⣴⡿⣿⣪⣿⣿⣿⣿⣓⣽⣿⣟⢣⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠉⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⢀⢤⣡⣵⡾⣟⣿⣿⢯⣛⣿⣿⣿⣿⣿⣽⠻⢕⣿⣿⣟⣽⡉⡻⠻⢿⣿⣿⣛⡷⣏⠛⠬⣝⡲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⢑⡤⣰⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣞⣿⣻⣿⡿⣛⣿⣾⡳⠔⠛⠻⣿⣿⣿⢷⣤⣲⣩⡛⣮⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⠋⠀⠀⠐⠀⢠⣤⣜⣒⣾⣟⣽⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⢷⣿⣿⡿⣽⣯⣱⠯⣏⣨⡕⣼⠿⣿⡽⣿⣿⢿⣟⢿⣝⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠟⠁⠀⠀⡀⣀⣢⣿⣯⢴⣯⣷⣿⣿⣿⣿⣿⣟⣿⣿⣾⣷⣿⣿⣿⣾⣿⣿⣿⣾⣿⣿⣻⣿⢾⣿⣿⣼⣯⣻⣾⣾⣲⢎⠿⣿⣿⣷⣦⡉⢻⣧⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠃⠀⢀⠀⢀⢘⣼⣿⡯⣷⣿⣿⣻⣯⣿⣿⣿⣯⣯⣿⣿⣵⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣯⣿⡿⡻⣻⣿⣾⣿⣿⣽⣞⣟⣟⠂⠻⣻⣿⢿⣫⡷⣿⣿⣣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡎⠀⠀⡄⡠⢋⣿⣯⣟⣽⣿⣿⣧⣿⣷⣿⡿⡿⣻⣿⣻⢿⣻⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⢷⣿⣿⣿⢿⡿⣿⣟⣿⣿⣻⡟⣿⡕⠫⣽⣿⣿⣧⡘⣿⡿⡄⠀⠀⠀⠀⠀⠀ ⠀⣸⠀⣀⢄⡪⣶⢺⣽⣹⣿⣿⡿⣿⣿⣿⣻⣿⣿⣿⣿⡽⣿⣾⣿⣿⣿⣟⣿⣿⡿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣟⣯⡿⣾⣿⣯⣟⣶⡘⣷⣻⣿⣿⢿⣟⡿⣯⣸⡀⠀⠀⠀⠀⠀ ⢠⠣⠊⣡⡋⣵⢫⣿⣟⣾⣿⣮⣿⣿⣟⣿⣿⣿⣽⣽⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⠟⠉⠻⣿⣿⢽⣟⣿⣿⣞⣿⢎⣸⣎⠛⢿⢾⣿⣿⣿⣾⣿⣷⠀⠀⠀⠀⠀ ⢸⠀⢀⢼⢯⣿⣽⣾⢿⣧⣏⣿⣿⣯⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣷⣿⣿⣿⣟⡀⠀⠀⠀⠘⣧⣿⣯⡟⣿⣿⣯⣮⣝⢯⠣⡻⣧⣿⣷⡝⠮⠻⣿⣇⡀⠀⠀⠀ ⠀⠠⢫⡷⠋⠼⢱⣿⠿⠋⣹⣿⣾⣿⣿⣿⣿⣾⣿⣿⣿⣿⣽⢿⢿⣿⣿⣿⣿⣿⣿⣧⣿⣷⠋⠉⠛⠃⠀⠀⠀⢺⣿⣯⣯⣿⣿⠻⣽⣿⡣⡓⡯⣿⣻⢿⣿⣦⣸⣿⣿⡊⠙⠢⡀ ⠀⢰⡿⣱⠱⣿⣿⠋⠀⠀⣷⣿⣿⡿⣿⣿⣏⣿⣿⡿⣿⣿⣟⣿⣾⡿⣟⣷⡿⣿⣿⣿⠟⠁⠀⠀⡄⠀⠀⠀⠀⢈⣿⣿⢾⣷⣿⣷⣿⣿⣾⣸⡚⢿⣿⣿⣿⣿⣿⡛⢿⣷⡀⠀⠸ ⢰⣾⢱⢿⣾⣯⣾⣷⣦⣄⣿⣿⣿⣿⣿⡿⣿⣯⣟⣯⣿⣿⣿⠟⠋⣼⣾⣿⣯⣿⡿⠋⣀⣤⣶⣿⣁⣠⣀⣠⣀⡀⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣟⣔⠿⣽⣿⣿⣿⣿⣇⢻⡻⡉⠁ ⢸⣿⢘⣯⣿⣿⣿⣿⣿⣿⢹⣿⣿⡿⠉⢸⣿⡿⠿⠿⠟⠋⠀⠀⢠⡿⠿⢻⡿⣫⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣡⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣝⣷⣀⠹⣿⣿⣿⣿⣾⣿⠂⢸ ⢰⣿⡏⣹⡿⣽⣿⣿⣿⣿⢿⣿⣷⡄⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠿⢿⣯⠻⣿⣿⣿⣯⣟⣿⣿⣻⣿⣿⣿⣿⣿⣽⣿⣽⢽⣹⣿⣿⣿⣟⢿⣆⠃ ⠘⣼⣿⣿⡇⣿⣿⣿⣿⡅⠀⢹⡎⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⣾⣿⣿⣿⣿⣿⡁⠀⢈⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣶⡙⡝⢿⣿⡿⢿⠇⠉ ⠀⡯⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⠧⠶⠏⣷⢐ ⢠⠱⣿⡆⢷⠸⣿⠟⣦⢨⡙⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢿⣿⡟⠉⡬⠭⢩⣿⢿⣿⠿⢟⣿⡏⢸⣷⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡫⠄⠀⠀⠠⣴⡿⡎ ⢨⣸⡟⣿⡈⢧⣽⣷⣴⢻⣲⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣌⢿⣯⣘⠛⢑⢹⣯⣿⢏⣡⠎⠁⠀⣾⡿⣿⣷⣿⣿⣟⣿⣿⣿⣿⣿⣿⠿⠇⠀⠀⠀⡼⡭⢹⣽ ⠓⢿⣷⠘⣷⣄⠛⠘⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠙⠿⠿⢾⠿⠛⠳⡟⠋⢠⢠⣻⣟⣯⣿⣿⣿⣾⣿⣿⣿⣿⠟⠛⠀⠀⠀⠀⣠⢞⠋⣗⣎⣿ ⠔⠛⣿⣦⡈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡗⣽⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣧⠤⡤⠴⢶⣾⣟⢯⣽⣛⣿⣟⠯ ⠀⠀⠈⠿⣷⣄⡻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠶⢦⣤⣤⣀⣠⣠⣤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⣿⣻⣿⣿⣟⣿⣿⣿⣿⣿⡛⠛⠀⠤⢄⡀⠈⠻⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⢀⡉⠿⢜⣮⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣯⣿⣷⣯⣿⣷⣿⠿⠉⠉⠈⠁⠀⠀⠀⠀⠀⢤⠈⢿⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⡿⣿⠆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣾⣿⢿⡿⠟⡟⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡘⡅⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⡰⠪⢤⠒⠉⠈⠑⠲⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢟⡟⠯⠛⠉⠉⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⡀⠀⠀⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀ ⠀⠀⠈⢻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣿⣷⠈⣹⢯⡉⠉⣿⠉⠀⣤⡴⠤⢴⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⢸⡏⣿⣾⣿⡇⢳⡀⡟⠀⣾⣿⡧⠤⠖⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⢈⡿⠫⠿⣿⣧⣶⠵⠃⠈⠁⠀⠀⠀⢀⣿⣿⣿⣿⡿⠋⠀⠀⠀ ⠀⣠⣶⡶⣶⣯⣷⣦⣀⡈⠀⠘⣆⡠⠖⠁⠀⣀⣤⣾⣿⣿⠟⠃⠀⠀⠀⠀⠀ ⣼⡏⣿⡞⢉⣯⣹⣿⣿⣿⣿⣶⣶⡷⢶⣺⠿⢻⡿⣽⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣥⣿⣿⣿⣿⡟⢿⣿⣿⢋⣼⣿⠞⠻⣾⣿⡇⠀⢱⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠛⠿⠿⣿⠁⡾⠛⢳⣿⣿⣿⣿⣿⣾⣿⣿⣿⡷⢞⠉⠧⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣇⣴⠋⣩⣧⡟⢻⣿⡀⣰⣿⣿⠁⠘⣇⠀⠈⠳⠾⠻⠯⠵⡆ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⢿⣫⣴⣿⣿⣿⣿⣿⣿⣷⣦⣜⢦⠀⠀⢀⠤⠤⠔⠃ ⠀⠀⠀⠀⠀⢠⣿⠟⠁⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠳⡄⢘⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⢹⡿⣿⣿⡿⠿⢛⡏⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣄⣠⡇⡇⠀⠈⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡇⠙⣄⠀⠀⢈⣷⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢠⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠻⢯⣭⣴⣶⣶⣶⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣴⣶⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠙⠻⢿⣿⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⣯⣾⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣤⠤⣤⣸⣿⣿⣿⣿⣿⠓⣿⣿⣿⣿⣿⣍⡏⡟⠉⡇⣀⣀⣀⣀⣀⣀⡀⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣧⡀⠀⣿⣿⣿⣿⣿⣿⠀⣀⠼⠋⠙⢆⠀⢰⡇⠀⣩⢷⡛⠉⠉⠛⠶⣼⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠛⠉⣿⣿⣿⣿⣧⡖⠁⠀⠀⢠⡎⣳⡸⠀⡾⠁⠾⡷⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡆⢰⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠏⢹⣿⡷⠿⣦⡀⠀⢈⡽⠃⡇⠀⠿⢿⣿⣿⡟⠒⠒⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠋⠋⠳⡿⠇⠀⠙⠻⠷⠞⠃⠘⠛⣖⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⣄⡀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢣⡀⣠⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢳⣤⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢰⠚⠋⠉⠉⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣤⣄⡀⠀⠀⠀⠈⣷⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣼⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⡿⣿⡋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⢟⡛⠲⠤⣤⣤⡿⠁⠀⠀⠉⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡏⠀⢠⡏⣧⣑⣴⢋⣡⠾⡇⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣸⠀⡏⠉⠈⠛⡇⠀⣇⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⡇⢸⠁⠀⠀⠀⢻⠀⣿⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⢰⡇⠸⠤⠤⠴⠶⠚⠇⣹⠀⠀⠀⠀⢀⣠⣴⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠸⣆⠀⢠⠴⠚⠛⠻⣞⠧⣤⠒⠛⠉⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣯⠓⠛⢆⠘⣄⠀⠀⠀⢹⡄⢻⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⠟⠛⠉⠀⠀⣿⠀⠀⠈⢧⡘⢆⠀⠀⠀⢣⣸⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⡿⠿⠋⠉⠀⠀⠀⠀⠀⠀⣿⠀⠀⢿⠋⣽⣎⢧⠀⠀⢸⣿⡀⠀⠀⠀⠀⡇⠀⠀⢀⡟⢁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠘⢇⠀⠉⠛⣳⣤⣴⡛⡇⠀⠀⠀⠀⡇⠀⡠⠚⣷⣿⣤⣄⣠⡤⡄⣿⢽⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢈⣷⠛⠋⠉⠀⣀⠉⡇⠀⠀⠀⠀⢃⠀⠀⠀⠉⠀⢯⡝⠙⠛⠛⠚⠛⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣷⡄⠀⠸⣷⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⡄⠀⣿⣿⣷⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣮⣝⡻⢿⣿⣿⣿⠀⢸⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣌⠛⢿⣇⢸⣿⣿⡿⠛ ⠀⠀⠀⠀⠀⠀⢀⡼⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠙⠸⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⣠⠟⢠⡞⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⣰⠃⣰⠏⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀ ⠀⠀⠀⣴⢃⣼⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠋⢿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀ ⠀⢀⣼⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠹⣧⢈⣿⡾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⢀⣾⣿⣿⣿⣿⣿⣿⡟⠉⣿⡅⠀⣿⡆⢿⣿⣿⣿⡿⡆⠀⣿⡟⠋⠀⠈⢿⢛⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠸⣷⡀⠸⣿⡜⣿⣿⣿⣇⢹⣾⠏⠀⠀⠀⠀⢈⣿⠾⠛⠉⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠈⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣿⣷⣾⡏⠿⠻⣿⣿⡿⠆⡟⠀⠀⣀⡤⠚⠉⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠹⣿⣿⣶⣿⣿⣿⠀⠀⣇⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⢠⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠙⣯⣿⣿⣿⣿⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠙⣿⣿⢋⡟⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣼⡟⢠⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⢿⣿⣷⣤⣤⡤⠤⠤⠼⠃⡞⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⣰⣿⣶⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢹⣿⣿⣿⣷⣽⣿⠛⠁⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⢠⠎⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣇⠃⠀⠀⠀⠀⠀⠀⠈⠳⣄⡴⠃⠀⠀⠀⠘⢯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⡟⣻⣿⡿⠿⠟⠛⠉⠁⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣾⣿⣶⣾⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢟⣿⣿⣿⡿⠟⣛⣉⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣻⠟⠉⢷⡾⠟⠛⠉⢀⣴⠟⠉⠁⠀⠈⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⣠⡾⠉⠠⠂⠀⠙⠦⣠⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⡿⠟⠁⣠⣾⣿⣷⣶⣶⣶⣦⣤⣴⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣥⣬⣿⣿⣿⣿⠀⠀⠀⢸⣿⡟⠉⠉⠉⠉⠙⠛⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀
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⣤⣤⣤⣤⣤⣤⣴⣿⣿⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣦⣤⣤⣤⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠤⠤⠤⢤⡤⠤⠤⢤⡤⠤⠤⠤⣤⠀ ⣿⣽⢻⢯⢻⣿⣿⣯⣷⣾⣏⡯⡟⣟⣿⣝⡞⣿⣛⣙⢿⣿⢩⣿⣻⣿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣀⡀⢸⢴⡋⢹⢾⡇⢈⣶⡀⢸⠀ ⢿⠾⠿⢶⡿⣷⢿⢷⡿⠿⠾⠿⠷⠿⠿⠷⠿⠿⠷⠾⠾⠿⠴⠿⠿⠿⣯⠼⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠾⠿⠿⠾⠶⠿⠿⠾⠷⠶⠶⠶⠿⠀ ⡟⠉⠉⠉⠉⠉⢿⡿⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠏⠉⠉⠉⠉⠉⠉⠉⡇⠀ ⡇⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸ ⠇⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⣿⣿⣿⣿⣿⣿⠏⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⢠⠻⠳⡟⠀⠀⣀⣀⣀⣴⣢⣶⠯⠦⠶⠚⠛⠙⣿⣿⣿⣿⣿⣿⡿⠁⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡴⡣⣤⣗⡾⣿⡿⣍⠉⠹⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠏⣀⡤⠞⠋⢳⡉⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣷⣿⠀⠀⠀⠀ ⡄⠀⠀⠀⣠⡾⢻⣶⣟⠁⠀⠘⢧⡀⠀⠀⠀⠀⠀⣀⣴⣾⠿⠿⣿⣿⣷⠛⠁⠀⣠⣤⡄⠹⣆⠀⠀⠀⣴⠋⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀ ⡇⠀⢀⣴⢋⣴⠋⠀⠙⣧⠀⠀⠀⠹⣄⠀⠀⣠⣾⡿⢻⠀⠁⠰⠉⠁⢈⣧⡀⠀⠘⠛⠓⠀⠈⣷⣀⡾⠁⠀⣀⣠⠤⣄⡉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⡇⠀⢸⣿⣿⡅⠀⠀⠀⠈⢷⡄⢀⣀⣸⣧⣠⡏⢀⡇⣾⡆⠀⠀⠀⠀⠈⠉⠳⣄⣤⡤⠶⠒⠋⢩⠟⢀⡔⠋⠁⢀⣀⡀⠈⠳⡀⠈⠙⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢸⣿⠁⠻⣦⡀⠀⠀⣠⠟⠋⠉⠀⠈⣿⠶⢾⡷⣿⣿⣄⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠱⣄⠀⠸⠿⠇⠀⠀⢳⡀⢠⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⡄⠀ ⡇⠀⣸⡏⠀⠀⠈⢷⣴⠞⠁⠀⠀⠀⠀⣼⠃⠀⣾⠀⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⡀⠀⠀⠀⠈⠓⠤⣄⣀⣀⣠⠼⠁⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⡆⠀ ⡇⠀⢸⣇⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⣼⡧⠴⣾⡇⢠⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢥⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡟⠁⠈⡇⠀⠀⠀⠀⠀⡇⠀ ⠃⠀⠀⠙⠷⣤⡞⠁⠀⠀⠀⠀⠀⠀⡿⠀⠀⣿⠀⣼⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣉⣹⡷⠶⠆⠀⢀⡤⣔⣿⣿⣿⣿⣿⠋⠀⠀⣸⡇⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠈⠛⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣟⡴⠋⢻⣿⣿⡿⠉⠀⡹⢦⡀⠀⠀⠀⢀⡤⡴⠖⠛⠋⠀⠀⠀⠀⠀⢀⣿⠀⠈⣿⣿⣿⡿⠁⠀⢀⣾⣿⡇⢀⣠⠤⢤⠀⡇⠀ ⡄⠀⠀⠀⠀⣠⡞⠁⠉⠛⢻⡿⠛⠉⠉⢹⣿⣏⢀⣤⣾⣿⡟⠀⢀⣼⣅⠀⠙⢧⡀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣇⠀⠀⣿⣿⠛⠀⠀⣴⣿⣿⣿⠖⠋⠀⠀⣸⠁⡇⠀ ⡇⠀⠀⠀⠲⢿⣇⠀⠀⣰⠏⠀⠀⠀⢀⣼⣾⠟⢫⡟⣿⠟⢀⣴⠟⢁⣻⡷⡀⠀⣹⣿⠤⡤⠤⠤⠤⠤⡴⢤⣤⣴⣾⣿⣿⠀⠈⠿⣄⠀⠀⠐⣿⡿⠋⠀⠀⢀⡠⠞⠁⠀⡇⢸ ⡇⠀⠀⠀⠀⠀⠙⣧⣼⣯⣤⠴⠖⠛⣩⡿⢋⡔⠋⢡⠏⣠⣟⠉⣴⡾⠋⠀⠈⠲⠃⢸⣇⣠⠤⢤⣶⣾⡇⠀⣿⣿⡿⠋⣽⠀⠀⠀⠈⢧⡀⠀⠈⠀⠀⣀⠴⠋⠀⡀⠀⠐⡇⢀ ⣷⡀⠀⠀⠀⠀⠀⠈⠉⠀⠻⣄⣠⣾⠿⠚⠉⠀⢠⣯⡾⠋⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢹⣇⠀⣿⡟⠀⣴⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠷⠒⠒⠚⠛⢲⡖⡇⠀ ⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⡃⢀⣴⡟⢿⣿⣟⠃⣸⡿⠶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⢸⡇⢠⢿⠀⢸⡿⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠁⠁⠀ ⡇⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠟⠉⠐⠈⣿⣿⣿⣿⠿⠷⣤⣬⣉⡛⠛⠶⢦⣤⣀⡀⠀⠘⣿⣾⣿⢸⢸⠀⡿⢿⠀⡙⢦⡀⠀⠀⠀⠀⢀⣠⠶⡋⠉⠉⠁⠀⠀⠀⠀⠸ ⠁⠀⠀⠳⢄⣀⣀⠀⠀⠀⠀⣠⡾⠋⠄⠀⠀⠀⢘⣿⣿⣿⡆⠀⠀⠈⠙⠛⠳⠶⣤⣄⣉⡛⠛⢾⣿⢻⣿⡞⠘⣇⣧⠘⣧⡇⠀⠈⠓⠲⠤⠴⠋⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠨ ⠀⠀⠀⠀⠀⠀⠈⠉⠛⣻⣾⠛⠀⠁⠀⠀⠀⠀⢸⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⣻⣾⣤⣾⣿⡇⠀⠘⣾⡆⠘⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⠀⠀⢀⣴⣟⡱⣌⣁⣬⣄⣀⣤⣴⣾⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠟⣇⠀⠀⠘⢿⣦⣄⣻⣄⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢣⣰⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⡏⠀⠀⠹⣆⣀⠀⠀⠈⠓⠛⠚⠛⠒⠒⠒⣫⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣼⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢹⡍⠛⠛⠒⠾⠶⠤⢤⣤⣀⣤⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣀⣀⣀⣀⣀⣰⡏⠀⠀⠀⠀⠀⠀⠆⠛⠒⠦⣂⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⣈⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⡉⠉⠉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣁⣀⣀⣀⣀⣀⣀⡀
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