⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣡⡿⣏⣿⣷⠿⠷⠋⠓⠀⠉⠉⠉⠉⠉⠛⠻⠷⣷⣮⣝⢦⡈⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢀⣴⢏⣼⣿⣽⡿⠋⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣄⠱⠄⠀⠀⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢘⢤⣛⣧⣾⣿⡿⠋⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⢻⣧⠹⡄⠀⠁⣂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠉⠛⡿⢿⣿⠫⢀⢄⠄⠀⢀⠀⠀⠀⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⢱⠀⠀⠸⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⢰⢃⡿⢅⢡⢂⢊⠀⠀⠀⠈⠀⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡯⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⠀⣄⡏⣼⣛⣮⡷⣡⠃⠀⠄⠀⡀⠀⡰⠁⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⢿⠵⠚⠵⠏⢻⣿⣱⠇⢠⠊⠀⡰⠁⡰⡑⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⡄⠀⢰⠀⠀⠀⢸⠀⠀⡈⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⡄⢀⠀⠀⠀⠙⣿⡇⡄⠁⠀⠀⢸⣿⡏⢠⠃⠀⣰⠥⢴⡿⢷⠧⠤⠀⠀⠀⠀⠀⠐⡘⠀⣦⢀⠀⠃⠈⠀⠀⡀⣸⣶⠒⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠃⠤⣀⡏⠀⠀⣿⡆⠁⠀⠀⠀⢸⣾⠀⡌⠂⢁⠁⡠⠋⡏⠀⡇⠀⢸⠀⠀⠀⢀⠂⠁⣼⡇⡌⡸⠆⡄⢠⠀⢿⣟⠉⠇⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⣀⠀⣼⡿⠰⡠⠁⠀⠀⣮⣟⢠⠀⠔⣠⣮⣤⣤⣆⢆⢳⠀⠀⠀⠀⠔⠁⠄⡰⠏⣸⠿⣷⢰⠡⡆⠰⣴⡇⣸⠰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠏⠀⡰⠁⠀⠀⢰⢹⣧⠰⢡⣾⣿⣿⣿⣿⡟⠛⡘⠀⡆⠠⢊⢄⠌⢈⡊⡨⡪⢂⢻⣇⠰⠀⢢⣼⢀⡇⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⡈⠀⠀⠀⢠⣾⢺⠇⠀⡿⣹⣿⣿⣿⣄⠀⠀⢱⣸⠁⣄⢧⠴⢀⣼⣶⣾⣤⠂⢏⠼⡡⡈⡴⢋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣻⣦⣤⣴⣿⡿⢸⢨⠸⢇⠉⠿⣚⡫⠊⠀⢀⡼⡝⣠⣲⠃⢂⣾⣿⣿⢿⣿⠦⣪⠞⣕⢱⡇⢸⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢻⣗⣿⣿⢡⢲⢸⠈⢇⢺⡀⠀⠀⠀⠀⠀⠐⢐⠞⠉⠻⠀⢸⣿⣿⣧⡄⡼⢹⡯⡪⠃⠣⡇⠘⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣛⣶⣏⣾⣻⢿⡽⢸⢸⡇⠾⡮⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠉⠊⣸⡣⠚⢴⠃⢊⣲⠃⡐⠤⢸⡧⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣶⡀⢐⣽⡾⠉⡛⠈⢀⠘⢸⢸⠀⣷⠐⢟⣌⠁⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡏⣰⢁⡾⠽⠁⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡠⠞⢫⡄⠈⣿⣿⢁⠀⠐⠰⠔⠁⢈⢙⢸⡆⢫⡄⠸⡈⠱⡀⠀⠀⣟⠳⣧⡄⠀⠀⠀⠀⢈⣩⡟⡜⣄⠯⡘⢳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⢀⣾⡔⣲⣽⣿⡄⠀⠀⢃⠁⠤⡀⢾⠈⡇⠸⢠⢂⢃⠀⠈⠲⢄⠈⠁⣈⠀⣀⡤⠐⠂⣿⢣⢁⠃⡸⡆⠃⠀⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣶⠿⠷⣽⣳⣿⣿⣷⡀⠀⠀⢪⣁⠈⠀⡘⢰⠀⡎⠘⢸⡄⠀⠀⠀⠉⠀⠀⢀⢼⠃⠀⢰⢻⣻⢨⠀⠃⠀⡇⢠⣿⣿⣿⡆⠀⠀⠀⠀⡄⠀⠀⠀ ⢿⣏⣴⣀⢠⣉⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⢃⠀⠄⢠⠁⢸⠱⠀⠀⠀⠀⠀⠀⢊⡾⠀⠂⢹⢸⢯⠈⢀⣀⠃⢷⣿⣿⣿⣻⣷⠀⠀⠀⠀⠁⠀⠀⠀ ⠚⠉⠻⢛⣿⡿⣿⣻⣟⣿⣿⣿⣦⣤⣀⡀⠘⣀⠐⠀⣰⠈⠘⡇⠐⠄⠀⢠⠊⢰⠁⠀⠀⠀⠟⣎⡀⢸⢿⢘⣼⣿⣿⣿⣿⣟⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⠠⠦⢀⢈⣿⣷⣻⣞⣯⣿⣿⣿⣿⣿⣿⣿⣷⣶⠀⢁⣠⣙⡱⠀⠀⠈⠁⢀⣏⣸⣤⣴⣾⣿⢻⡇⢸⡸⢸⢺⣿⣿⡿⠿⣿⠀⠀⠀⠇⠀⠀⠀⠀ ⠀⠀⢐⣀⠀⠙⣷⣿⡾⣿⣿⣿⣾⣿⣿⣿⣿⣿⡟⡀⣸⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⡈⡇⢸⣿⣿⣿⣧⠀⠈⢂⠀⠰⠀⠀⠀⠀⠀ ⠀⠀⡬⣹⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⣿⡇⠇⣿⣿⣿⣌⣾⣿⣿⣿⣇⣼⣿⣿⣿⣿⣿⡿⣥⠇⡇⣺⣿⣿⣿⣿⣧⢀⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⠰⣿⣿⣿⣿⡿⠛⠉⠉⠀⠀⠉⠉⠛⠻⣽⡆⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⡀⠁⣿⣿⣿⣿⣿⣿⠀⠀⠸⡀⠀⠰⠀⠀⠀ ⠀⠀⠈⢻⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢇⣻⣷⢿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣳⣯⣟⡿⣿⣾⣄⡹⣿⣿⣿⣿⣿⡄⠀⠀⠀⢄⠀⠀⠀⠀ ⣀⣀⣠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣽⡿⣽⣿⣿⣶⣶⣿⣿⢿⣯⣷⣻⢾⣽⡷⣿⣿⣿⣞⠿⠛⠉⠁⠀⠀⠀⠀⠂⠴⠀⠀⠠

haiii! :3 so i found the lavendor thing! im the first minor doing this i think sooo uwu! btw this is a pov of u and ur gf Lizz! Lizz is thirsty for (ům≽^•⩊•^≼ “im gonna go use the bathroom” you say “alright, do u want me to pause the movie?” Lizz asks “no just keep watching OwO” you say Lizz continues watching Black Swan, as you walk to the bathroom. she’s 30 minutes into the movie and shes getting worried about you. she remembers you soemtimes dont close the door when using the washroom, she walks to the washroom to check on you. it wasnt locked, but it was awfuly sillent!૮₍˶Ó﹏Ò ⑅₎ა she opened the door and found you with a pillow (ùming on it. the cr34m went alll oaver the place. “h-hi…” you say Lizz walks in, as she’s getting what she wants. she locks the door. she takes off her pink oversized sweater with my melody in the corner (｡>\\<)(∩˃ω˂∩)⊹₊ ⋆ she didnt have a br4 on, so her big t1ts bounced up she took off her p4nties which revealed a d33p p-s-y( ͜ₒ ㅅ ͜ ₒ) _| |_ ( ͜ₒ ㅅ ͜ ₒ) | | ( w ) she l1cked your p-v-s-y she then went inside of “it” anyway this is done becus i do not know how to end it! also, pwease stop the drama! the kids on this website are already exposed to the not sage for work stuff okur? bye my cutecore luvvies! ୧ ‧₊˚ 🍮 ⋅ ☆୨୧(๑ > ᴗ < ๑)( ˶ˆ꒳ˆ˵ )

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⡲⠿⠙⠛⠘⠉⠿⣻⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠀⡀⠀⠀⠀⢀⠠⠤⠤⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣞⣿⣽⡷⢿⣲⡖⠖⠚⠳⠳⠾⠶⣽⣟⣶⣯⣿⣯⣟⡶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢊⡴⢾⡹⣭⢳⡦⡘⢄⠀⡰⢠⢶⣏⢯⡳⣆⠱⡀⠀⢀⠂⣡⣤⡤⣌⠠⣀⠔⣉⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡈⠢⡀⠀⠤⠒⣘⣫⣤⣤⣤⣤⣉⡐⠒⠄⡀⠀⢊⣠⣤⣤⣤⡤⣤⢤⡤⣤⢤⡤⣤⢤⡤⣤⢤⡤⣤⣤⣤⣤⣤⣄⠑⠀⢠⠂⣡⣤⣤⣤⣤⣤⡤⣤⣤⣤⡉⠢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣺⡽⣟⡿⠟⠓⠉⣁⡠⢴⠒⡒⢂⡉⠌⡩⢉⢋⠹⣉⠛⢛⠻⠿⣯⣷⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣾⡹⢧⡻⣜⢧⡻⣽⡘⡷⢡⣞⡳⣎⢷⡹⣞⡇⣷⠀⠃⣞⢧⡳⡽⣭⢧⠐⣼⢣⡗⣞⢶⡳⢞⡶⢳⡞⢶⡳⢮⡽⣃⣠⡴⣞⡽⠷⠓⠚⠓⠛⠒⠻⠽⣏⡶⣤⡴⣟⢧⣛⢶⣣⢟⡼⣣⢟⡼⣣⢟⡼⣣⢟⡼⣣⢟⡶⡳⣞⢶⣣⢏⣷⠸⢥⣾⢣⡗⣞⢶⡳⣎⢷⡳⣞⢶⡹⢧⡈⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣻⣾⠟⠉⢁⢤⢴⣶⠏⡁⠒⠄⡃⢻⠗⢿⣂⠡⠌⢠⠃⡄⢊⠤⠁⠆⡐⢈⠛⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢷⣏⢷⡹⣎⢷⡹⣶⢃⢣⠿⣜⡳⣝⢮⣳⠟⣰⡿⠀⠀⣟⣮⢳⡝⣮⢻⢦⠹⣧⢻⡜⣧⢻⡝⣞⢧⣛⢧⣛⢧⡻⣝⡧⠛⢁⣠⣴⡶⠾⠛⠽⠶⢶⣤⣀⠉⠳⣽⢎⡷⣹⢎⡷⣫⢞⡵⣫⢞⡵⣫⢞⡵⣫⢞⡵⣫⢞⡵⣫⢞⡵⣫⢾⠀⣿⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡭⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⡾⠉⣀⣠⣾⣿⡷⢋⠁⢢⠐⡉⡐⠄⡡⠈⠌⡉⠐⠌⡐⠐⡈⢄⠂⡉⠔⡈⠄⡘⠠⢀⠙⠦⡀⠀⠀⠀⠀⠀⠀⠑⠌⠛⢮⣷⣹⣮⠗⡣⢢⡟⡽⢮⣝⢮⡳⡿⣼⣿⠃⠀⡁⡿⣜⢧⡻⣜⢿⢸⡇⠉⣛⣚⣓⣛⣺⣛⣾⣛⣞⢻⡞⡵⠋⠀⣴⡟⠊⢁⣀⡤⣤⢤⡤⣀⠈⠙⢷⣄⠈⠻⣜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⣜⣳⠇⣷⡘⣽⢎⡷⣹⢎⡷⣹⢎⡷⣹⢎⡷⡽⢁⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣻⣾⠴⣺⣿⣿⠟⡉⠐⠠⢁⠂⠔⡐⢀⠒⠠⢁⠂⠄⡉⠐⠌⠡⠐⠠⠌⡐⠄⢂⠰⠀⡁⠳⣬⡀⠙⢦⡀⠀⠀⢊⣉⣉⣍⣡⣄⣠⣄⣔⣫⡥⣟⡼⣝⡳⢮⡳⣽⢣⣍⣉⡁⢲⡄⣟⢮⡳⣝⢮⢿⢸⡇⠀⠀⠈⠁⠁⠀⠁⠀⢩⠃⣾⡹⠁⠀⣾⠋⢀⣴⢻⣜⡳⣝⢮⡳⣝⡻⢦⠈⢻⡆⠀⠹⣜⣷⢛⣛⣓⣛⣚⣓⣛⣛⣓⣛⣛⡓⡿⣜⢧⡻⣜⡳⣎⡏⢸⢿⣷⣌⡛⠺⠵⠻⠼⠷⠯⠾⠧⠟⣊⠠⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣳⡿⣡⣾⣿⡿⠋⠠⢀⠑⠈⠄⡈⠐⠠⠈⠄⠁⢂⠈⠄⠠⠁⠌⠠⢁⠂⡐⠠⠈⠄⠂⠁⡐⠠⢀⠹⢎⡠⠱⣎⣰⢯⡝⡾⣜⡳⣎⢷⡺⣜⢧⡻⣜⡳⣭⣛⢧⡻⣜⢯⡞⣵⢻⢦⠑⣯⡳⣝⢮⣛⣾⢸⣇⠠⠀⠀⠠⢄⠀⠀⠀⡆⢸⣳⠇⠀⢸⣏⢀⡾⣎⢷⣾⣽⢎⡷⣿⣼⢯⣛⣆⠀⣿⠀⠀⢹⡞⡄⡇⠀⠀⠀⢀⣀⡀⣀⡀⢻⣷⠸⣏⢾⡱⣏⢷⡛⢠⠃⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡯⣽⠾⡿⣿⠏⠀⠄⢁⠀⢂⠈⠀⠄⠁⠂⢁⠈⠄⠂⠠⢈⠀⠡⢀⠁⠠⢀⠐⠀⡁⠠⠈⡐⠀⠄⠂⡐⢈⢳⡄⡘⣿⢮⣝⡳⣭⢳⡝⣮⢳⡝⣮⢳⣭⢳⢧⣛⢮⡳⣝⢮⡝⣮⣛⡾⢀⡷⣝⢮⡳⣝⠾⣬⣣⣴⢻⣝⡳⢦⠰⡀⠀⡇⣯⣽⠀⠀⢸⡝⣯⢳⡟⢸⠇⠘⣯⡞⠀⢻⠘⣏⡾⣹⣻⠀⠀⢸⡝⡇⠃⠀⡠⢊⣤⢶⡰⣖⡤⡙⢿⣷⣌⡛⠷⠽⠚⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⢻⠇⢘⣼⠋⠀⠌⠀⠂⠈⡀⠄⠁⠐⠈⢀⠂⠀⠂⢀⠁⡀⠌⠠⠀⢈⠀⠄⠂⠐⠀⠠⢁⠠⢈⠀⢂⠐⡀⢂⠹⡔⡘⣟⠚⠷⠯⣗⠿⢼⢧⡻⣜⡳⣎⡟⣮⠽⡞⠷⠛⠾⠹⡶⣋⣴⡏⡿⣜⢧⡻⣜⢯⣳⢳⣎⠷⣮⣝⣻⢀⡇⠀⡇⢳⢾⠀⠀⣰⠿⣧⢯⡇⠘⣤⠀⢹⠃⢠⡌⠀⣿⣞⡧⢿⡄⠀⢸⡝⡇⣎⣼⢡⡟⣮⢳⡝⣮⣝⣳⡀⠇⠈⠉⠉⠀⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣹⠀⢰⠁⠀⠄⠂⡈⠀⠐⠀⠠⠈⢀⠁⠄⢀⠁⢈⠀⠄⠀⠄⠐⠈⢀⠠⠀⢈⠀⠌⢀⠂⣧⠀⠌⡀⠂⠌⡠⠌⢹⡄⢹⡿⣯⣭⣽⡟⢸⡳⣝⢧⡻⣼⣹⢏⣾⡟⠉⠉⠉⠉⠉⠁⠈⠀⡿⣜⢧⡻⣜⢧⣏⠷⣎⡟⡶⣭⢻⡘⠄⣀⣣⠸⣯⡆⠀⢿⣤⢿⡌⠃⠀⣿⠃⠀⠀⢸⡇⠀⠟⣸⠷⣴⠇⠀⣼⢺⠁⣿⠇⣾⡹⣎⢷⡹⢶⡹⢶⠇⣠⠀⣠⡴⣊⣤⠶⡶⢶⡶⢶⡶⢶⠶⡶⢶⠶⣶⠶⣶⠶⣶⠶⡶⢦⣌⠀⠄⠀ ⠀⠀⠀⠀⠀⣼⡼⠿⡄⡸⢀⡈⠀⡀⢀⠈⢰⡆⠀⢁⠀⠂⢀⠂⠈⠀⡀⠂⠁⡀⠌⠀⠂⢀⠐⠀⠠⠐⠀⢸⡏⣷⠂⠄⠱⢀⠂⢌⠠⢿⠀⢷⠹⡄⠙⣧⣾⡱⣏⢾⣱⢳⡇⢿⠿⠤⠄⡀⠀⠀⠀⠀⠀⡁⣟⢮⡳⣝⢮⡳⣎⡿⣼⣹⢳⣭⢳⣛⠷⣦⢤⢶⡳⡽⡄⠻⢮⣳⢻⡀⠀⠈⠀⠀⠀⠈⠁⠀⣰⢏⡿⡼⠃⣼⣣⠏⣸⡟⣸⢧⡻⣜⢧⣛⢧⣛⡟⢠⠃⣼⡟⣰⢻⡜⣯⡝⣧⣛⢧⡻⣭⢻⡝⣯⢻⣜⡻⣜⡻⣜⢯⣝⡳⣎⣷⠈⡄ ⠀⠀⠀⠀⠀⣿⣇⠀⢿⡇⢸⡅⠀⡀⠀⡀⢸⡃⠀⢀⠂⠁⠀⠄⠈⢀⠸⡆⠀⢀⠀⠐⠀⡀⠄⠈⠠⠐⠈⠀⣿⢹⣧⡌⠰⠀⠎⡀⠆⢸⡇⠸⡆⢹⡄⠈⡎⢷⣫⢞⡵⣫⠽⣖⢾⡹⣖⣌⢳⣆⠀⠀⠀⠄⣯⡳⣝⢮⡳⣽⢩⣍⠳⢭⡗⣮⢳⣭⢻⡜⣯⢞⡵⣫⠽⣦⡈⠓⠛⠁⠀⠀⠸⠦⠼⠃⠀⠀⠙⠚⠋⢠⡞⣧⢋⡼⣿⢡⡟⣮⢳⡝⣮⡝⣮⢳⠃⠞⠀⣿⡇⢯⡳⣝⢶⡹⢶⡹⣎⠷⣭⡳⣝⢮⡳⣎⠷⣭⢳⡝⡾⣜⡳⣝⢾⠀⡇ ⠀⠀⠀⠀⠀⣿⠛⠓⣿⡇⣾⡆⠀⠄⡀⠀⢸⡇⠀⠠⠀⢈⠀⠂⣥⠀⠐⣿⡀⠸⡆⠀⠠⠀⠐⠀⠁⡀⠡⠀⢽⣯⡙⣿⣴⣷⣶⣤⣜⡀⣿⡇⣿⠘⡇⠀⡅⢘⣧⡟⣼⢳⡻⣜⢧⡻⣼⣹⢸⣿⠀⠀⠀⠂⡷⣝⢮⡳⣽⣹⢸⡇⠑⠠⡙⠳⢯⣞⢧⡻⣜⢯⡞⣵⣻⣼⣹⡲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡞⣯⠚⡡⠊⠀⣿⢸⣝⢮⡳⣽⢲⡝⣧⠏⠸⠀⠀⠹⣿⡌⢿⣜⣧⣛⢧⡟⣼⣛⠶⣝⢮⡳⣝⢮⡻⣜⢧⡻⣵⢫⠷⡭⠋⡰⠁ ⠀⠀⠀⠀⢀⣿⠃⢠⣿⣷⣿⣇⠀⠂⠀⢀⠨⡇⠀⢠⡄⠀⠀⠀⠀⠀⠄⢻⡇⠀⣿⡀⣧⠀⠂⠀⠐⠀⠐⠈⣼⢻⡏⠹⣷⢰⡄⢀⠈⡙⢾⣹⢼⣷⠇⠀⠸⢸⡙⠺⣵⣫⢷⡹⣎⣷⡧⢋⣼⠋⠀⠀⠈⢆⠹⣽⢎⡷⣣⠏⡼⠀⠀⠀⠀⠀⠂⠠⠭⠉⠩⠯⠉⠭⠄⠒⠌⡙⠳⢯⣷⣲⢖⡶⣲⢖⣶⣻⠽⠒⣉⠄⠊⠀⠀⠀⠘⢆⡻⢮⣳⢭⣳⡽⠊⡰⠁⠀⠀⠀⠀⠉⠒⠨⠁⠩⠭⠹⠥⠭⠍⠬⠉⠁⠉⠈⠡⠉⠩⠉⠅⠋⠩⠐⠊⠀⠀ ⠀⠀⠀⠀⡎⢁⠴⢿⣿⡟⡽⣷⠀⡁⠈⠀⠐⣿⠀⢸⠇⠀⡀⠈⠀⠂⣠⣸⣿⣠⣿⣧⣽⡆⠠⠀⢸⡄⠐⢠⣿⢸⡇⠀⣏⣿⣆⠠⠘⣧⢸⢸⣾⡏⠀⠀⠀⠗⡏⠐⠀⠌⠉⢩⣉⣥⡖⢉⡀⠀⡀⢀⡀⡀⢀⣌⣉⣉⣥⣊⡀⠀⠀⣀⡀⡀⠀⣀⡀⢀⡀⠀⡀⢀⡀⠀⣀⣈⠑⢂⣤⣬⣉⣉⣍⣉⣥⣔⣒⡉⡀⠀⢀⢀⡀⠀⢀⣀⢉⣢⣍⣉⣩⣴⢊⠀⣀⡀⠀⠀⡀⠀⣀⢀⣀⡀⠀⣀⡀⠀⢀⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣇⡠⠊⢿⣿⡎⣻⡆⠀⠌⠀⡀⢸⡆⢸⡃⢀⠄⠐⣠⣶⣿⢿⢻⢩⠇⢸⣸⢷⡀⠀⢸⣇⠀⣾⡿⢹⣴⣿⣿⢿⣿⡆⠁⣷⣾⣹⡟⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠜⢡⣤⡬⠀⣾⠁⣧⢠⡬⢯⣅⡤⡤⡬⢠⡴⢯⡝⡏⣤⣥⠤⢉⣼⣯⡁⣼⣍⣽⠈⡇⢩⣽⣯⡙⣡⣴⣌⠙⣫⣄⠀⠀⡤⠠⠄⣤⠈⠉⣦⣌⠛⣹⣎⠋⣴⡌⣤⢡⡬⢩⣿⣠⣄⢻⢩⣯⠡⢭⣴⠄⣵⠉⣽⢯⡍⢹⣄⣰⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣼⡁⠀⠸⣿⣯⣊⣷⠀⠄⢂⠀⠀⣷⢸⡅⢸⣦⠟⠋⢀⣯⡆⣸⡎⠉⢉⣿⢸⣧⠀⢾⣿⣰⣿⠇⣾⣿⡿⠋⡇⢿⣿⡄⣽⣿⠏⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⢰⠨⣭⡿⠆⠻⣶⡟⠸⡟⣻⡁⢿⣽⣯⢸⡟⢻⡅⡇⢬⣽⡿⠘⢷⡾⠃⣿⠛⣿⠀⡧⠸⢷⡶⠂⠻⣦⠿⠀⠻⢿⣇⣸⣿⣰⣆⣿⣀⣒⣿⠞⢠⡿⢿⡆⢿⠹⣿⢸⡧⢸⠛⠟⢿⣀⡿⠾⣇⢸⡷⠖⣿⠘⢷⣾⠇⢸⠛⢿⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡄⢻⣧⠀⠀⢣⡿⣷⢺⣇⠀⠸⣆⠀⢼⡢⣧⢻⠇⢀⣆⣾⣿⣶⣿⣿⡿⢿⡇⠀⡟⡆⣻⣿⠟⠇⠀⣿⣿⣿⣿⡇⣸⢻⣷⣾⠋⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠈⠐⠂⠒⠈⠒⠐⠒⠂⠐⠊⠀⠀⠂⠐⠀⠐⠀⠂⠃⠐⠂⠂⠑⠂⠐⠂⠀⠂⠘⠀⠒⠒⠒⠒⠈⠐⠒⠂⠁⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⠀⠀⠂⠂⠐⠀⠐⠊⠑⠀⠘⠀⠀⠀⠀⠐⠀⠃⠀⠒⠀⠀⠒⠀⠒⠐⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠀⣿⡆⠀⡜⢁⣿⣧⢻⡄⠀⢿⠀⠀⣿⣇⠸⡇⢸⣿⣿⣿⣿⣿⠛⠛⡀⠀⢀⠇⢳⡿⠛⠀⠀⠀⢸⣿⣿⣿⡥⠃⢸⣿⠇⠀⠀⠀⠀⠀⢀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⠀⢹⣿⡖⡠⠛⣿⣿⡜⣷⠀⠸⣇⠀⠘⣿⡐⣧⣾⣿⣿⣿⣿⣿⣶⣿⡇⡰⠈⠀⡿⠀⠀⠀⠀⠀⠀⠙⠋⠉⠀⠀⢸⢻⠀⠀⠀⠀⠀⠀⠘⢎⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠈⣿⠝⠁⡰⠃⢝⣿⣽⣇⠀⢹⡆⠀⠘⣇⣿⡿⣿⣿⣿⣿⣿⣿⣾⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡄⠰⠁⠀⣴⡅⠀⠈⢻⣿⣿⣆⠀⣿⡄⠁⠙⣾⣷⠀⠉⠛⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⢀⡯⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⠃⠀⡸⠻⣽⣆⠀⠀⢫⢿⣿⡄⢹⣷⡈⠀⢸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⣾⠁⠚⡷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢕⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⠀⢠⡇⡠⠝⠿⣦⡀⠀⠑⣽⣿⡆⢿⢷⡀⠀⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣤⠖⠁⠀⣠⣾⠃⢸⠠⡗⢸⡛⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠁⠀⠰⠋⢠⠀⠀⠀⠙⣏⣹⣿⣧⠹⡼⡄⢷⠀⠀⢿⣟⡷⣄⡀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠒⠉⠁⠀⢀⣴⢏⡏⠀⡿⢸⠃⢰⣷⢻⡇⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⢣⡀⢠⠋⠀⠉⠫⠻⣿⣷⣧⠘⣧⠀⠈⢻⡸⡌⠻⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⡟⡾⠀⢰⣇⡟⠀⢸⡟⡌⣷⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠀⠈⠑⠢⢄⡀⠀⠀⠘⢿⣿⡀⠘⣦⠀⠀⠳⠙⣆⠨⣷⣄⠉⠉⠑⠒⠒⠒⠒⠶⠋⠀⢰⠟⠃⠐⣸⡿⠀⠀⢸⡷⣿⢯⠀⠀⡆⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⢸⣿⡇⠀⡘⢧⠐⠀⣀⠘⣇⠈⢾⡧⣄⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⢀⣡⣿⠇⡏⢠⡟⡇⣿⣼⠀⠀⠆⠀⠀⠀⠈⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠃⠀⣾⢻⡧⠀⠀⠘⢧⡀⠘⣇⠈⢧⡀⠙⢟⢦⡀⠀⠀⠀⠀⠀⣰⣿⡇⢰⢿⣿⠠⡇⠸⣇⢿⣿⣿⠀⠀⠰⠀⠀⠀⠀⠀⠀⢱⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⢠⣿⢸⣧⢹⡆⠀⠀⠻⡄⠸⣇⠈⣿⣦⣬⡻⣿⡄⠀⠀⠀⠈⠁⣿⠇⣻⣼⢣⢰⣇⠐⣿⢸⡇⣿⣇⠀⠈⡄⠀⠀⠀⠀⠀⡇⠄⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⡜⢸⣸⡋⠈⣇⠀⢠⡀⠙⣆⢻⠱⡌⠹⣷⣹⣮⣿⡄⠀⠀⡠⠊⢹⣠⣿⣿⠀⢸⣿⠀⢿⣧⣿⢿⣏⠑⠄⠱⡀⠀⠀⠀⠀⣧⠀⠀⢰⠉⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⢿⣇⠈⣻⡄⠀⢻⡀⠘⣾⡀⢿⡀⢿⣧⡇⠙⣿⠀⠈⠁⡰⠉⣷⣿⢿⠀⢸⠿⡆⣼⡿⢸⡜⡿⡀⠈⠢⡘⢄⠀⠀⠀⢹⠀⠀⡇⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡜⠀⡀⠈⣿⠀⢸⣧⠀⠀⢷⡀⢹⡇⠸⣷⠘⣿⢻⠢⢽⣧⠤⠊⢀⡜⡿⢸⡏⡇⠸⡇⡃⢼⣇⠎⡇⡇⠇⠀⠀⠈⢢⣑⣄⣄⠀⡄⠀⠇⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢀⠃⢠⢃⠀⢸⣧⠈⣟⣆⠀⢸⣷⠸⠃⠀⡿⢇⢿⢸⠁⠘⣷⠀⠀⡝⠀⢷⠈⡇⣇⠀⡇⡇⣼⢹⢦⣗⠇⠘⠀⠀⠀⠀⢆⠈⠉⠑⠛⢲⣬⣆⡀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⡈⡄⢸⡏⢣⣿⣿⡄⠀⣿⡆⡀⠀⣟⠘⡾⢸⡀⢀⡿⠀⠘⠀⠀⠸⠀⠱⣧⠀⡇⣧⢏⠿⣸⡟⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠈⡆⠀⠈⠑⠠⢀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠘⢼⣿⡇⠀⣧⠘⢷⡀⡏⢳⣧⠀⣯⠀⣧⢶⣇⣼⠃⠀⠀⠀⠀⠀⠀⠀⢸⢰⢣⢋⡜⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠉⠂⠄⡀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⢄⠀⠀⠀⢹⡷⠀⣿⡄⠈⣿⢿⠈⢿⠳⡼⡄⠸⡜⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⡜⣼⣯⠎⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⢸⣆⠀⠀⠀⠀⠀⠀⠀⠈⠐⢄⡈⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⡈⠁⢂⣴⣿⠇⠀⠇⠹⡄⢻⠈⠣⡀⠣⡈⢳⣄⢹⡟⣷⡀⠀⠀⠀⠀⠀⠀⣴⣿⢿⠃⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢨⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠭⢂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠉⢹⣿⡯⠀⠈⠀⠀⠀⠉⠂⠀⠀⠀⠀⠁⠉⠓⠳⡈⠻⠦⣀⠀⢀⢤⡾⠋⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠈⠁⠉⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢀⡞⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⡜⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⡇⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠞⠁⢀⣠⣴⣺⠭⠗⠒⠉⠉⠁⠁⠀⠀⠀⠀⠀⠉⠉⠑⠒⠯⣟⡿⣶⣽⣢⣄⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣡⣴⣾⣿⠟⠁⢀⣀⣠⣤⣤⣀⣀⣴⣶⣶⣂⣤⠤⠤⣄⣀⠀⠀⠀⠉⠻⢽⣿⣿⣷⣄⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⡿⢋⣴⠟⣡⣴⡾⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠓⠲⢮⣝⡲⣤⡐⢰⣴⣾⣿⣝⢿⣷⣄⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡿⠋⢠⣾⣷⣿⠟⡫⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣷⣿⣿⣿⣿⡷⣼⢿⣷⡀⠘⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢿⠃⢠⣿⣿⠟⠁⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠙⠿⣿⣿⣿⣿⡁⠻⢿⡿⣦⣧⣧⠔⢲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⢻⡸⢀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠹⣶⡀⠈⠙⢿⣿⣦⣀⣸⠀⠈⢿⡿⠀⡜⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⠃⠘⡇⣼⡿⡹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡈⠢⡀⠀⠈⢻⣦⡀⠐⢍⢛⣳⣽⡄⠀⠀⠱⣞⡇⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⢠⡇⣿⢁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠱⣄⠀⡸⠻⢿⣶⡐⢷⡵⢿⣷⡀⠀⠀⠈⢷⡀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢀⣯⢃⡏⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠘⣧⢹⡀⠀⠙⢿⣮⣿⣞⣿⣿⢦⡀⠀⠀⠈⠛⢤⣀⠀⠀⠀⢀⣤⠦⣤⣄⡀⠀⠀ ⠀⠀⢀⣾⡗⣺⡇⢸⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⠰⡄⠀⠀⢠⠸⣻⡄⠘⣷⡱⣄⠀⠀⠈⠉⠛⠿⣿⣇⢻⣷⣄⠀⠀⠀⣨⠟⠒⠲⢭⣀⠀⠀⠙⢌⠁⠀ ⠀⡠⣻⡟⢠⣿⡇⢸⡀⠀⡇⠀⢠⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡜⡞⡿⡄⠀⠀⢣⠱⢻⡄⠘⣷⠈⡑⣦⣄⡀⠀⠀⠀⠉⠉⠛⠚⠳⣤⠔⠃⠀⢠⠂⠀⠀⠉⠑⠒⠺⠇⠀ ⠀⠸⣿⡃⢿⣿⣧⠘⡇⠀⢳⠀⢸⡤⡀⠸⡀⠀⠀⠸⡄⠀⠀⠰⡀⠀⣳⣿⣿⡿⣿⠛⢛⠳⡛⣿⣄⣸⡇⠘⣸⡜⡏⢷⣦⣤⣀⠀⠀⢀⡴⠁⠀⠀⡰⠃⠀⠀⡄⠀⡄⠀⠀⠀⠀ ⠈⠄⠹⣷⠘⣿⣷⡆⢻⠀⡜⣷⡈⣷⣣⢲⡳⡘⡄⡄⢱⠀⠀⠀⠘⢾⣹⣌⣧⡟⢿⣷⣌⠳⣝⢷⢣⠈⢓⠀⠃⡇⢹⣸⣿⡇⠈⢯⡀⡞⠀⠀⢀⠞⠁⠀⢀⣾⣡⠌⠀⠀⠀⠀⠀ ⠀⠀⡄⢻⣧⠸⣿⣿⠈⣆⠸⣹⣷⣾⣿⣿⢻⡻⡟⣞⡄⢧⠀⠀⠀⠀⢉⣿⡜⣇⣀⣹⠿⢷⣌⡳⢽⣷⣼⡄⠀⠁⠈⡏⣿⡇⠀⠀⡷⣷⡀⠀⢾⠀⠒⢤⠞⢁⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡄⢻⣧⠹⣷⣣⠹⣦⡽⣿⡳⣿⡿⣷⡿⣟⢻⣿⢮⣧⡀⠀⠀⢸⣿⡇⡏⣴⣿⣿⣿⣿⣿⣶⣭⣿⣷⣶⡗⣇⣷⣿⣇⠀⡜⠋⠉⠹⣇⠘⡄⠀⠘⡄⣠⣼⡷⠆⠄⠀⠀⠀ ⠀⠀⠀⠸⠴⠛⠳⡝⣏⣷⡽⣷⣝⢿⡎⠻⢾⣻⣾⣻⣿⢷⣝⣷⣄⠀⢸⣿⣧⠁⠏⢻⣿⡁⠀⠈⠻⣿⡆⡇⢠⡇⡇⢻⣿⣿⡀⠳⣀⣀⡼⡇⠀⢳⡀⠀⡿⢿⣷⣄⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⢿⢹⣷⡻⣮⠻⣷⣷⣴⡟⣿⣿⣿⣿⣗⠙⠻⣾⣷⡤⣧⣏⠣⡀⠠⣾⣅⠀⠀⣠⣧⢿⡇⣼⠀⡇⣸⣿⣿⣷⡀⠀⠀⠑⠾⡄⣸⠻⣠⡇⠀⠈⢳⡏⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠁⢸⢸⢷⡹⣌⢻⣿⣿⣿⣇⠿⠻⣇⠀⠹⣧⠀⠈⢿⡷⢌⣯⡳⡀⠀⠈⠻⡿⠶⠟⠋⣼⣼⡇⣸⡇⡇⡇⢹⣿⣿⣄⠀⠀⣠⡿⠃⠁⠀⠀⠀⠀⢺⠁⠀⠀⠀⠀ ⠀⠀⠀⣀⡠⠼⡆⠘⡌⡆⠳⣌⢧⣘⠿⣦⠹⣦⠻⣿⣤⣠⣿⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⢀⣤⡾⢋⡿⡴⣿⠁⡇⣇⢸⡏⡟⠻⣿⣿⡿⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣤⠤⠿⡄⠹⡼⣄⠹⡳⣝⢷⣬⣷⣬⣙⡊⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⡼⣾⢻⡏⢸⢳⣿⢸⣿⢸⣇⡇⢏⣧⠀⠀⠀⠀⠀⢀⣾⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠦⠼⠮⣧⣱⣹⡷⣬⣿⣷⡁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⣰⣏⡿⢁⡟⢸⣿⠈⣿⡆⢿⣿⣼⡇⠀⠀⠀⠀⠀⣼⣇⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣧⣿⢧⢦⠹⡹⣇⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⣠⠶⡆⠀⠀⠀⢀⡴⢻⣿⢃⣾⠇⣿⣿⠀⢻⣿⡜⣟⣿⣿⣆⠀⠀⠀⣼⣿⣿⣟⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠓⡁⢻⡟⣧⢳⣱⡈⢷⢤⡀⠀⠀⠀⠀⠘⢿⣉⣀⣠⠆⠀⢀⡴⠋⠀⣼⡏⣼⢻⠀⣿⣿⡆⠈⣿⡿⣌⢝⢯⠻⣷⡀⠠⣿⠿⣿⣿⣿⣦⡀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣃⠀⡇⡜⢻⢿⡇⣧⢣⠸⡈⣿⣽⣶⣶⣤⣤⣀⣀⡀⠀⣠⡴⠋⠀⠀⢰⡿⢰⡏⢸⠀⣿⢻⣿⠀⠸⣷⡙⢦⡹⣗⢌⣻⣿⣯⣹⣿⣿⣿⣿⣿⣄⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⢰⢣⠗⠘⢸⡇⢸⡞⡄⢇⢹⣿⡍⣿⡟⣿⡇⠀⠙⠫⣁⠀⠀⠀⠀⢺⡇⣾⢁⡼⡆⢻⣾⡻⣦⠀⠹⣿⣄⣏⠳⢷⣦⣉⠙⠛⠚⠭⠛⠛⠿⢿⣷ ⠀⠀⠀⠶⠲⠶⠒⣒⣶⣶⡏⢀⢏⡞⠀⢰⣸⡇⣿⣧⠇⢸⠈⣿⡇⣿⢱⣸⡿⣄⠀⠀⠈⠑⢤⡀⠀⠸⡇⣿⡏⣸⠻⡄⢻⡀⠙⢷⣄⠈⢻⡿⡅⠀⠀⠉⠙⣷⡶⠶⣶⣤⡤⠄⠀ ⠀⠀⠀⠈⠀⠐⠀⣡⠾⠟⢷⣞⡞⠀⠀⣼⡟⣰⡟⢹⠀⢸⢰⣿⡇⣿⠀⣿⡧⢬⠷⣶⡒⠒⠒⠢⠄⠀⢿⣟⣷⣇⣤⣘⠦⣙⠦⢼⣙⣿⣦⣌⡛⠢⠤⣀⣀⠈⠹⡛⠻⠶⣤⣀⣨ ⠀⠀⠀⠀⠀⠀⠈⠃⠀⢠⣿⢿⡀⢀⢼⣿⡴⠋⢹⣾⠇⢸⣼⣿⠁⣇⣸⡟⠙⠺⣿⠇⢙⡳⣤⡀⠀⠀⠈⣾⡟⠳⡿⣿⣤⡀⢹⠶⠶⠶⠿⣛⣷⣲⣖⠒⠠⠭⣅⡛⠣⡄⠀⠈⠙ ⠀⠀⠀⠀⠀⢀⡌⡁⢠⡿⢁⣼⠟⣁⠴⠋⠀⠀⢐⡿⢀⡧⣿⠏⣼⣿⡟⠀⠀⠀⠈⠳⣼⢷⠷⠙⠳⣤⣠⣿⣟⢤⣴⡿⠿⣃⡎⠀⠀⠀⢀⡼⠁⠈⠉⠓⠦⠤⠤⠼⠵⠮⠀⠀⠀ ⠀⠀⠀⠀⢀⠞⣙⢠⣿⣷⢋⡴⢺⡟⠦⣄⠀⠀⣼⠏⣘⣾⢏⣼⣿⡟⠉⠢⣄⠀⠀⠀⠀⠙⠢⢄⣰⠞⢻⡷⢟⣳⢽⣦⣄⣞⣀⣀⣤⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠂⣼⡵⡻⣿⣣⠋⢀⡸⣧⠀⠈⢙⣾⠏⣴⣿⣷⣿⡿⣹⢁⡆⠀⢈⠗⠢⢄⡀⠀⠀⠀⠸⢿⡿⠷⠟⠁⠀⢀⡟⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡉⠈⣷⣇⠀⠨⠁⣿⠁⣠⠜⢁⣸⣿⣿⢻⡏⠀⣿⠸⠀⡰⠃⠀⠀⠀⠉⠒⠦⠄⡀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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