Total Drama Island Emoji Combos

Copy & Paste Total Drama Island Emojis & Symbols 🎀𓂃 ࣪˖ FOLLOW seafoamtoes on spotify for total dr

🎀𓂃 ࣪˖ FOLLOW seafoamtoes on spotify for total drama ship playlists, etc!!!!!⋆౨ৎ˚⟡˖ ࣪. ݁₊ ⊹ . ݁˖ . ݁
Jamaica 🇯🇲They're👯trapped👏down⬇️In😕Jamaica🌍they✨can't❌even😦japarty🥳Its😿so😭unfair💔
123 slap my knee 🤭 my husband 2 be his name is Cody 🗣️🗣️456 kick up sticks 🤯 my heart won't be without my Cody fix 🤫 789 straighten ur spine 🤸🏾‍♀️ spin to see Cody looking so fine 😁 10 11 12 nothing rhythms w 12 chicks want Cody but his butts MINE ,👎🏾👎🏾‼️💯🔥
Alejandro looked around quietly once again and blushed a little, looking embarrassed as he knealed down to go to Cody's eye-level. "I-I, uh..." He said, looking off to the side, trying to avoid eye contact with Cody. Cody just tilted his head, confused. "I know I'm usually seen heartbreaking with the señoras, but... I really like you, Cody!" He whispered to Cody. He just stared at him wide eyed and blushing. He didn't really expect anybody except for Sierra to love him like that, especially a guy, and much less Alejandro. "You—like me..? Is this a joke?" Cody whispered under his breath, trembling as he stepped back a bit from Alejandro. "I..." Cody stammered, trying to balance himself on all his nervously added weight and almost crashing into Alejandro. "I like y-you t-too..." Cody stuttered even more, just nervously sweating from the tension. ... After a really long and awkward pause, Alejandro and Cody stared back at eachother, still blushing, and Cody still nervously sweating. Cody shook his head fast and looked back up at Alejandro. "So, what does you liking me have to do with your scheme?" He said, still pondering at Alejandro. "Well, we all know I want to win. But, you've been really successful in every challenge. So, you might win." He stepped a bit closer to Cody, still blushing. "We can propose a trade. If you purposely lose all the following challenges next time 'round, I'll give you your dulce stash." Alejandro said. "Really? Okay, well, what's in it for y-you?" Cody asked, shuddering. "What's in it for me? Well, mi mas querido amigo, I think you already know." He said with a wink. Cody immediately got it and blushed, once again. ... Alejandro led Cody into the men's restroom and into a big stall as Cody lightly sat down on the toilets' closed lid and looked up at Alejandro standing in front of him. "C-Can we just get this over with?" Cody whispered silently, as Alejandro zipped down his jeans and his 8-inch member came flopping out and hitting Cody on the nose. "Ow! Be careful w-with that t-thing..." He said, blushing as he grabbed the base of the member and started stroking it. Alejandro's member twitched in Cody's warm palms and fingers rubbing up and down around it, making pre-cum start to drip down from it's tip. *Oh my... This is so gross!* Cody thought as he opened his mouth and reached out with his tongue to start sucking down on Alejandro's member, making even more pre-cum stick down to Cody's tongue. Finally, thick and warm cum shot into Cody's mouth as he swallowed it and took his mouth off Alejandro's member quickly. "Ack, ack! *cough* Ugh! So much..." Cody coughed out some strings of cum and spit. "L-Lo siento..?" Alejandro said, smirking nervously. ... "Ugh..." Cody groaned as he sat back a little on the toliet seat and took his pants off, raising his legs in the air. "Make this quick, p-please..." He begged. Alejandro blushed and smirked as he perked his member against Cody's hole, as it twitched nervously, poking at it. "Oh, voy a arruinar este agujero..." He whispered under his breath, immediately smashing his member into Cody and trusting quite fast. "A-AH! I didn't say I was r-rea..ahh..ngh..." Cody whimpered, as Alejandro thrusted in and out of him, slowly going deeper as he kept moving inside of him.

Warning: This item may contain sensitive themes such as nudity.

pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣶⣶⣾⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠉⠙⠻⠿⠿⢿⣿⣿⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠀⠛⠛⠒⠦⡔⠒⠠⠤⡀⢸⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠠⠚⠛⠳⠄⠀⠀⢤⣄⡀⠀⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⣀⣀⣀⡀⠀⡀⢀⣉⣉⣁⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡾⠭⢤⣬⡭⡧⠸⣯⠤⣤⡬⣽⣿⣿⡄⠀⠀ ⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠇⠈⠒⠒⠒⠋⠁⠀⣏⠉⠈⠉⢹⣿⣿⣿⣆⠀ ⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠐⢄⠀⠠⠤⠿⠀⠀⠀⢸⣿⣿⣿⠿⠃ ⠈⠉⠻⢿⣿⣿⣿⣿⡿⢻⣿⠀⠀⠀⠀⠈⠉⠒⠒⠀⠀⠀⠀⢸⡏⠉⠀⠀⠀ ⠀⠀⠀⠀⠉⢹⣿⣿⣇⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣀⣀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣸⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⡏⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡿⠋⢿⡿⣁⣿⡏⠀⠀⢸⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠁⠀⠈⣵⠋⠙⢧⠀⠀⢀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡖⠚⢧⡀⠀⢳⣖⢺⠁⢠⡗⠒⢲⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠈⢷⡀⣸⣿⣿⣧⣸⣧⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠗⠦⣄⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⣠⡤⢺⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠛⢲⢤⣤⣈⡙⠲⣿⣿⣿⣿⣿⣿⡿⣉⣤⣤⡴⠛⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡎⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣧⢻⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⢸⠁⣿⣿⣿⣿⣿⣿⣿⠘⡇⠀⠀⠘⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⠀⣿⣿⣿⣿⣿⣿⣿⠀⣿⠀⠀⠀⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⠀⠀⠀⣾⠀⣿⣿⣿⣿⣿⣿⣿⡀⢻⠀⠀⠀⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⢀⡇⠀⣿⣿⣿⣿⣿⣿⣿⡇⢸⡇⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⣀⣀⣼⡇⢸⣿⣿⣿⣿⣿⣿⣿⣇⠀⣇⣀⣀⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣷⣒⡾⢽⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⢖⡒⣽⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠒⠊⢹⠃⢸⡿⠿⠿⠛⡟⡟⠋⣿⠀⢿⠓⠒⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⣾⠀⣸⠀⠀⠀⢀⡇⢣⠀⣿⠀⢸⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡆⠀⣿⠀⣽⢤⣀⠀⢸⡇⢸⠚⢸⡄⢸⠀⢰⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡇⠀⣿⣀⣿⠀⠈⠛⠚⠇⢀⡴⢻⣧⣼⡇⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⠀⠛⢻⣿⠤⣄⡤⢤⠞⢻⠀⠀⣿⠈⠃⠻⣅⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠟⠁⣠⡆⢸⣿⠀⠀⠀⢸⠀⢸⠀⡀⣿⠘⣦⡀⠈⠻⣦⡀⠀⠀ ⠀⠀⣴⣿⣠⠃⣴⣿⠃⢸⣿⡠⠤⢲⢸⠀⢸⠀⡍⣿⠀⢻⣷⡄⢳⠻⣿⡄⠀ ⠀⢸⣷⢡⠃⣼⠳⠿⠖⠛⣿⠀⠀⢸⠘⡟⠉⠀⡇⢿⡉⠙⠃⢻⡄⢷⢿⡿⠀ ⠀⠘⣿⡿⣰⡏⠀⠀⠀⢠⡟⠉⠉⡍⠀⡇⠀⠀⣧⢸⡇⠀⠀⠈⣷⢸⡾⠃⠀ ⠀⠀⠈⠷⣿⠀⠀⠀⠀⢸⡇⢠⠀⡇⠀⡇⠀⠀⢻⢸⡇⠀⠀⠀⠸⠟⠁⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⢸⡇⢸⠀⡇⠀⡇⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡿⢰⠃⠀⡇⠀⠀⠸⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⠓⠼⠀⠀⡇⠀⠀⠀⠋⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠤⠤⠤⠶⠒⣷⠒⠒⠂⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣀⣀⣠⣤⣤⡿⠶⢶⡶⠶⠿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⢻⡀⠀⡗⠒⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡯⡍⡇⡠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⡀⡇⡇⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠟⠯⡲⠷⡷⠷⣒⠝⠳⣦⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⡶⠛⢏⢫⣨⢦⠑⠫⢣⠀⡇⢠⢋⠗⠡⢮⣈⢏⡟⠛⣶⣄⠀⠀ ⠀⠀⢠⣿⣿⣿⣚⣉⣁⣘⣒⣷⣶⣷⣷⣷⣶⣶⣶⣾⣚⣂⣈⣙⣚⣿⣿⣷⡀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠸⣿⣶⣶⣶⣶⣶⣶⣶⣶⣷⣧⣲⣿⣿⣿⣿⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⢻⣿⣿⣿⣿⣷⣷⣦⣄ ⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣋⣽⣿⣿⣉⠀⣀⣀⣻⣿⣟⡻⣿⣶⣿⠻ ⠀⠀⠀⠀⠀⢸⣯⣿⣿⣿⣿⡇⡼⠛⣋⣁⠀⠉⣦⡞⢁⣤⡈⠙⣧⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⢸⡗⠒⢶⣿⣿⠇⠈⠒⠚⠓⠐⠒⠡⠬⣾⠟⠃⠊⠁⢹⡇⠀⠀ ⠀⠀⠀⠀⠀⠸⣷⡀⠚⠆⠀⠀⠀⠀⠀⠈⠳⠤⠤⠒⠉⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⣤⣤⣤⣤⣤⣴⡾⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⢤⣴⣏⣀⣀⣿⣏⣩⣭⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⢠⡏⠉⢉⠏⣤⢸⠃⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠏⠉⢇⢀⣎⢰⣿⣸⢀⠎⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡏⠀⠀⢘⡞⠘⡇⠘⢙⠏⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠀⠀⢀⡇⠀⠀⠀⢀⡆⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣇⡀⠀⣸⣿⣿⡿⠿⢿⠀⣀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠉⢹⣧⣀⣄⣤⣤⣼⠋⢩⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠁⠀⣸⠉⠉⠿⠿⠿⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⡇⠀⠀⠀⠀⠀⡽⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⣿⠀⢸⠃⠀⠀⠀⠀⠀⣟⠀⢸⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠛⠿⣀⣼⠀⠀⠀⠀⠀⠀⢸⠤⠚⢉⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⡗⠤⣀⡇⠀⠀⠀⠀⠀⠀⢸⠔⢒⣹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣏⠒⢺⡇⠀⠀⠀⠀⠀⠀⢸⡖⠉⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢿⡶⢼⡏⠉⠉⠉⠉⠉⠉⠙⣟⠹⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⢸⠁⠀⠀⠀⠀⢰⡆⠀⢿⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⣸⠀⠀⠀⠀⠀⣾⣧⠀⢸⡆⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣶⠾⠟⠃⢘⠒⡇⠀⠀⣼⣿⣿⡆⢠⣿⠛⠚⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⢇⠆⡴⢠⡿⢀⣿⣦⣰⣿⣿⣿⣿⡟⢿⣦⡓⣴⢼⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡏⡜⢠⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣸⡿⠻⣾⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣠⣿⠁⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠹⠿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠃⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⢿⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣾⢯⣿⣿⣿⣽⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⡦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡉⠉⠈⢧⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠂⠀⠈⣧⣀⣀⣸⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠛⠛⠉⠉⠉⠉⠉⠉⠉⠙⠉⠋⠙⠋⠛⠛⠁⠀⠀⠈⠀⠀⠀⠀⠀
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⣝⠾⣭⠻⡼⡹⣎⡳⡝⣎⣳⠹⣎⣳⣙⢮⢳⣙⡎⢷⣙⣎⡳⡝⣎⣳⠹⣎⣳⣙⢮⢳⣙⡎⢷⣙⣎⡳⡝⣎⣳⠹⣎⣳⣙⢮⢳⣙⡎⢷⣙⡎⣗⡃⢠⡟⣜⢣⡝⢮⡱⢫⡜⣣⠝⣮⢱⢫⡜⣣⠝⣮⢱⢫⡜⣣⠝⣎ ⡽⣚⡴⣫⠵⣳⢱⣣⢛⡴⢭⣓⠧⢶⣩⢎⡗⢮⣙⡞⡴⢎⡵⣹⠲⣍⣳⢓⡦⢏⣎⠗⡮⣝⢺⠴⣎⡵⣹⠲⣍⡳⢭⡲⣍⢮⣓⢮⣙⡞⡴⣋⣞⠀⡼⢳⣌⡳⣜⢣⡝⣣⠞⣥⢛⡴⣋⠶⣙⢦⡛⡴⣋⠶⣙⢦⡛⣬ ⣳⢭⢖⣣⠟⣬⢳⠼⣩⢞⡱⣎⣏⡳⣬⣓⡞⣣⢳⣎⡽⢎⡵⣣⠟⣜⣲⢫⠼⣍⣎⠯⡵⢎⣏⠾⣸⣱⢣⠟⡼⣩⠳⣵⢪⣓⢎⡳⣎⡼⢳⣍⠞⠀⣭⠳⣌⡳⢬⠳⡜⣥⡛⡴⣋⢶⡩⢞⡱⢎⡵⢣⡝⢮⡱⢎⡵⣊ ⣏⡞⡹⣎⢽⣊⢯⠳⣭⠺⣕⡳⢎⡳⣕⣣⡝⣣⠟⡴⣋⢯⡜⢧⠻⣜⡲⢭⡳⣚⣬⢳⢭⣳⣿⣷⣧⣞⣣⢟⣱⢣⠟⣴⢫⢼⣩⠖⡧⣝⢣⣎⠏⢐⣏⡳⣌⠳⣍⡳⣙⢦⡙⠶⣍⠶⣙⠮⣕⢫⡜⣣⠞⣥⢛⡬⢗⡭ ⡞⡜⣧⢹⢦⣋⡞⣝⡲⣛⣬⢓⢯⡱⢞⡴⢭⣣⢛⡵⡹⢦⢫⣭⢛⡴⣋⢧⣓⠧⣎⡳⢾⣿⣿⣿⣿⣿⣿⣿⣷⣯⣽⣲⠭⣖⣣⢟⡱⣎⡳⣜⠂⣸⠶⡱⢎⡝⢦⠳⣍⠶⣩⢓⢮⡹⣌⠗⣎⠳⡜⣥⢛⡴⢫⡜⣣⠞ ⣝⢺⢬⠳⣎⡵⣚⣥⢳⢣⣎⢏⡶⣙⠧⣞⢣⡞⡭⢶⡙⣧⢋⡶⣋⢶⣙⢮⡜⣣⢧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⣷⣜⡱⢏⠀⡾⣱⡙⢮⡜⣣⢛⡬⢳⢥⡛⢦⡓⢮⡹⣜⢣⡛⡴⢫⡜⣣⠞⣥⢛ ⢮⣙⠮⣝⡲⢵⢣⣎⠳⣇⡞⡺⣜⡱⢯⡜⣣⢞⡱⢧⣛⡴⢫⢶⣙⡎⣞⢦⡛⡵⢮⣿⣿⣿⢿⣻⣟⡿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣷⣣⡝⢦⡙⢦⢫⡜⣣⢎⡝⡲⣍⢧⠳⣌⢧⡹⣜⢣⠞⣥⢛⡴⣫ ⢧⣋⢾⡡⢟⣎⡳⣜⢫⡖⣭⢓⡮⣝⡲⢭⣓⠮⣝⡖⣣⠞⣝⢦⣓⢞⡱⣎⢳⣹⣿⣿⣿⣽⣻⣯⣟⣿⣽⣿⣽⣟⣷⣟⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣗⣮⡱⢎⣜⠳⡜⣎⠳⣍⠶⡱⢎⢧⡛⡴⣋⢶⣻ ⡳⢎⡧⡝⡞⣴⡹⢬⣓⠮⣕⡫⢖⣣⡝⣣⢞⡹⢦⡝⣥⢻⡜⣎⠞⡮⢵⣎⢳⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣷⣝⣬⠳⣍⢞⡱⣋⠶⣙⠶⣹⣞⣳ ⣝⡺⢴⢫⡝⢦⡝⡳⢎⡽⢲⡹⢭⡲⣍⡳⢮⡹⢖⡹⣬⢓⣮⡙⣞⡹⢖⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣻⣿⣿⣿⣿⣾⣮⣵⡍⡞⡥⢻⡵⣞⣳ ⢮⡱⢏⡞⣜⡳⣚⢭⣫⢜⢧⣋⢧⢳⡱⣝⡲⢭⣫⠵⣣⢏⠶⣹⢬⡓⢯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠋⠁⠀⢠⣿⣿⣿⣿⣿⣿⣿⡷⡘⠴⣹⣏⢿⡭⣷ ⢧⢛⠮⡵⢮⣕⣫⢖⣣⢞⣣⠞⡭⣞⡱⣎⡝⣣⢞⣱⠳⣎⣛⢦⡳⣭⣿⣿⣿⣿⣿⡿⠟⠛⠉⠉⠀⠀⠀⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡗⣩⣽⡳⡽⣞⡽⣞ ⢄⠊⡔⡐⢢⠐⡌⢢⣁⢮⣔⢫⢳⡜⣵⢪⢵⣋⢮⡕⡻⣜⢼⢪⡵⣽⣿⣿⠟⠋⣀⣠⣤⣤⣤⣀⡀⠀⠀⢸⣷⡀⠀⠀⠀⠀⠀⡤⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣯⣿⣿⣿⣼⢳⣞⡽⣽⢳⣯⢽ ⢈⡒⣤⡱⢦⡛⣼⢣⢏⢶⢪⣭⢓⣞⠲⡝⡦⢏⡶⣹⡱⢞⡎⣧⣹⣿⠏⢀⣴⣿⣿⣦⡄⠀⠀⠉⠙⠳⣄⠀⢿⡇⠀⠀⠀⠀⡼⢁⠞⢀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣞⣻⡼⣛⡾⣝⣮⢟ ⢧⣛⡴⣋⠧⣝⢦⠻⣬⡓⣏⢖⣫⢜⡫⣝⡼⣣⢳⡥⢻⣜⠮⡑⣿⡿⠴⠛⠛⠛⠓⠛⠻⠦⢤⣄⡀⠀⠈⢷⠀⠀⠀⠀⠀⣸⢣⢏⡴⠋⠀⠀⢀⣀⣤⣴⠄⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣽⢺⣝⣯⡽⣞⢧⡿ ⡳⡜⢶⡩⣞⡱⣎⡟⣴⡹⡜⠾⡘⢎⠓⡩⡘⢡⢃⠴⣱⣿⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣄⠈⠙⠳⣄⠘⡇⠀⠀⠀⠰⣣⠯⠊⠀⠀⢠⣾⠿⢋⣉⣤⣤⣄⣀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⡞⣟⡾⣼⢳⢯⣛⡾ ⠷⡹⠒⡝⢌⠣⣉⠜⣠⠒⣌⠒⡡⠎⣌⠱⣈⠥⢊⣴⣿⡇⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠤⣈⠳⣿⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⣴⣾⣯⠁⠀⠀⠀⠉⠙⠦⡀⠀⠈⣿⣿⣿⣿⣿⣷⡻⣽⢞⣽⣫⢯⢯⡽ ⠒⢀⠴⡈⢆⢃⠲⠌⣄⠣⢄⢋⠴⢡⢂⠣⠔⣊⠥⣸⣿⡁⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠀⠐⠶⠤⣤⣄⣀⢀⣴⣿⣿⠿⠿⠷⠶⠶⠤⣤⣀⡀⠙⢦⠀⢻⣿⣿⣿⣿⣷⢻⣵⡻⢮⢷⣫⢯⡽ ⢀⠎⡰⢁⠎⣌⠒⡩⢄⢃⠎⣂⠎⣡⢊⠱⡘⠤⢒⠩⢿⣷⣄⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠞⠉⠥⢤⣄⣀⣀⠀⠀⠀⠀⠈⠉⠒⢮⣆⢸⣿⣿⣿⣿⣞⡟⣶⡻⢯⣯⢽⣫⡽ ⢌⠒⣡⢉⠲⢠⠍⡒⠬⢌⠒⣡⠊⡔⡨⡑⠬⣑⡾⢁⡈⠿⢻⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠶⠖⠶⠶⢮⡁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡽⣞⣳⢟⣻⣞⣭⠷⣑ ⠌⡜⢠⠎⡡⢃⡜⡐⢣⠌⢣⠄⡓⡌⡔⢡⣳⠏⡵⢋⠔⣡⠃⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣻⣭⣴⠒⠋⠉⠉⠲⢄⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⣽⡞⣭⣟⡳⢞⡥⢓⠬ ⡘⠤⢃⡜⣐⠣⣐⢉⢆⠪⣁⠞⡰⠰⣡⡞⢁⡒⣤⣧⣾⣶⣿⣿⣿⣶⣦⡀⠀⠀⠀⢀⡴⣞⠽⠿⢿⣿⣿⣿⣷⣶⣤⣄⣘⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⢿⣿⣿⣏⠵⣉⠳⡌⠵⣊⠴⣋⠜ ⡘⠔⢣⡐⢆⡱⢈⠆⢎⡰⢁⢎⠰⡑⢁⣴⣿⣿⠿⠛⠉⠁⠀⠀⠀⠈⢻⣷⠀⠀⣰⢫⡿⠥⠤⠤⠴⠾⠿⠿⣿⣿⣿⣿⣿⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢀⣼⣿⡱⢊⡥⢳⡘⢣⠥⡓⡬⣙ ⡘⠸⢄⠜⡢⠔⡩⢘⠢⠔⣉⢂⣣⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⣿⡇⠘⠉⠉⠉⠉⠉⠉⠙⠓⠒⠶⣄⡉⠻⣿⣿⠇⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠀⣠⣾⣿⣿⡸⡑⢎⡱⢜⢣⠣⠵⡱⢌ ⢌⡑⡊⠴⣁⠎⡱⢌⡑⢪⣰⣾⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡛⣿⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣶⣾⣿⣿⣿⣿⠥⣙⡜⡔⣋⠦⣙⠥⡓⢎ ⠢⢌⡑⠦⡁⠞⣐⠢⡌⣵⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣽⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⡜⠴⣘⠴⣃⠮⣑⢎⡱⢎ ⠱⡨⠰⡑⠬⣑⠢⢡⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢻⠈⢻⣧⡄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⡏⢼⡑⣎⠲⢥⡚⠴⣊⠖⣩ ⡑⣂⠇⣡⠓⠄⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠂⠀⠀⠀⠀⠀⣿⣿⣿⡿⠟⠛⣿⣧⡀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣶⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢙⣂⡉⡔⣉⢆⡩⢡⡌⢬⢄ ⠰⡁⢎⠤⠁⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⣀⣤⣾⡿⠟⠋⠁⠀⢀⠀⢨⡻⣿⣦⡀⠚⠀⢀⣀⣠⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠒⠦⡙⡘⢌⠦⣉⠣⡘⣌⢊ ⢡⡑⠊⢀⣾⣿⠃⠀⠀⠀⠀⠤⠀⠀⠀⢀⣼⠏⣀⣤⣶⠿⠛⠋⠀⠀⣀⣀⣀⡀⠈⢳⡀⠱⡜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣟⣿⡽⣯⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⠘⡔⡡⡑⡊⡔⢢⢡⠱⠠⢎ ⠂⢀⡐⣾⣿⠃⠀⠀⠀⠀⢀⠀⠀⠀⣠⣾⣷⠿⠛⠉⠀⠀⣠⡾⠛⠛⣿⣿⣿⣿⣄⠀⠹⡄⠹⡜⣿⡆⠀⠀⠀⠀⠘⣿⣿⣟⣷⡿⣽⡾⣟⣯⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⡏⡜⢠⠱⡐⠥⡘⢢⠡⢎⡑⢢ ⣀⠒⣼⣿⠃⠀⠀⠀⠀⠀⠈⣠⣴⡾⠛⠉⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⣿⢾⡇⢈⣿⣷⣄⢹⡄⢻⡸⣿⡀⠀⠀⠀⠀⢸⣿⣿⣞⣿⢯⣿⢯⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡇⣌⠃⠖⡉⢆⡱⢁⠎⡔⣨⠡ ⠤⣹⣿⡏⠀⠀⠀⢀⣠⡴⠟⠋⠁⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⣠⣴⣿⣾⣧⣾⣻⡟⠻⣧⣿⡌⣇⢿⡇⠀⠀⠀⠀⠀⢻⣿⣟⣾⡿⣽⣯⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⡑⠢⡍⢊⡑⢆⠢⢍⠒⡌⣄⠣ ⢂⣿⡟⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⣤⣾⣟⠻⠿⣶⣴⣾⣿⣿⡟⠉⠉⠛⠛⠛⠻⠿⠿⣷⣼⣾⣷⣤⡄⠀⠀⠀⠘⣿⣿⣳⣿⢯⣷⣿⣿⣿⣿⣿⣿⣽⢿⣿⣿⣿⣿⣿⣿⣿⢨⠑⡬⠑⣌⠢⢍⠢⢩⠔⢢⠑ ⢸⣿⠇⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⡟⡳⣌⢯⠳⣜⣿⣿⣿⡟⠀⠀⣀⠤⠖⠊⠉⠁⠀⠈⠿⡟⠀⠘⣿⡄⠀⠀⠀⠸⣿⣿⡾⣿⣽⣿⣿⣿⣿⣿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⠠⢓⠤⢋⢄⠣⢊⠬⣁⢎⠢⢍ ⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢟⡵⣩⠳⡜⣎⠳⣎⣿⣿⡿⠀⣠⠞⢁⣀⡤⠴⠶⠒⠂⠀⠀⠁⢀⣀⣈⢿⣆⠀⠀⠀⢻⣿⣟⣷⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣧⢉⡒⣌⠒⣌⢒⣉⠒⡤⢊⠜⡠ ⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢟⡣⢏⠶⣱⢫⠼⣘⡳⣜⡜⣿⢣⢞⡥⠞⠉⠀⠀⢀⣀⣠⣤⣶⣶⣾⣿⠉⠁⠩⢻⣆⠀⠀⠈⣿⣿⣻⣿⣿⣿⣿⣿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠉⠈⠉⠈⠁ ⣿⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣏⢮⡕⣫⠞⣥⢋⡞⣥⠳⡜⡼⣿⣟⣉⣠⣤⣶⡶⢿⣛⠻⣍⡳⣿⣿⢿⣿⡆⠀⠀⠀⠹⣆⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣟⣿⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⢀⣀⣴⡿⠋⢸⣿⣏⠶⣙⢦⡛⡴⢫⡜⡲⢭⢳⣹⣿⣟⡻⢭⣓⠮⣜⡳⢼⡙⢶⣹⣿⣿⣻⣽⣷⠀⠀⠀⠀⠙⣧⡀⠀⢻⣿⣿⣿⣿⣿⣿⣽⢾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠙⢷⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣼⣿⣿⣿⣿⣿⣿⠿⠟⠛⢉⣠⣤⡶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⡻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⣿⣿⣿⣧⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣴⠿⠿⠛⠋⣉⣁⣤⡴⠶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⣿⣧⣤⣤⣤⣶⣶⣾⣿⣿⣿⣶⣶⣶⣶⣶⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣿⣿⣿⣿⡿⠿⢿⣿⡛⢻⣿⡛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠇⠀⢸⣿⣦⡀⠙⢿⡷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠀⠀⣽⡏⡏⠻⣦⡈⠛⢶⣌⡉⠛⠻⠶⢶⣶⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠀⠀⣿⣇⡇⠀⠈⠻⣷⣤⡉⠛⠶⣤⣄⣀⠀⠀⠀⠉⠉⠙⠛⠿⢶⣤⣀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⣿⣻⡇⠀⠀⠀⠀⠙⠻⢷⣦⣄⡉⠙⠻⠷⣶⣤⣄⣀⠀⠀⠀⠈⠛⢷⣄⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣿⣆⠀⠀⣸⣿⣿⣿⣿⠇⠀⢸⣿⡟⠘⠛⠻⣶⠀⠀⠀⠀⠈⠙⠻⠿⣶⣤⣄⣈⠉⠛⠻⠷⣶⣤⣀⠀⢻⣇⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⣦⠀⣿⣿⣿⣿⣿⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⡭⢙⣻⣷⣦⣤⣀⠉⠻⢷⣄⢿⡄⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣿⣿⣿⣿⡿⠀⠀⣼⣿⣴⠶⠒⠶⣤⡀⠀⠀⠀⠀⠀⠀⠙⢛⡵⠛⠉⠉⢠⣏⣛⣿⢿⣶⣄⠻⣿⡇⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣟⠦⠤⠤⢴⣅⣝⣦⣀⠀⠀⠀⠀⣴⡫⠤⠔⠒⠚⠉⠉⠀⠀⠀⢻⡿⣧⢹⡇⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠇⠀⢀⣼⣿⡄⠀⠀⠀⠀⠀⠀⠙⢯⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠿⠾⠷⣾⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣤⣾⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣈⣥⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠈⢻⣦⡀⠀⠀⠘⠯⣤⠶⠖⣒⣪⣭⣷⣦⡀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣾⠇⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡆⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠘⢯⠉⠉⣀⣤⠞⠉⠀⠀⠀⠀⠀⠀⢀⣾⡏⣿⠉⣿⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢧⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⣀⣠⣴⡾⢿⡟⠀⣿⠀⣿⡇⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣼⠀⠀⠀⢰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣀⠀⡆⠀⢀⣀⡄⠀⠀⢿⡏⠁⠀⢸⡇⠀⣿⠀⢹⡇⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⢇⡇⠀⠀⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠻⣷⣵⡾⠿⣿⠇⠀⠀⢸⣧⠀⠀⢸⡇⠀⣿⠀⢸⡇⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆ ⠀⠀⠈⠙⠓⠦⢤⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠈⠁⠀⠀⣿⠀⠀⠀⠸⣿⠀⠀⢸⡇⠀⣿⡀⢸⣷⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⣿⣆⠀⢸⡇⠀⢸⡇⠸⣿⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⣠⡾⣿⡇⠀⠀⠀⢠⡿⠛⣷⣼⣧⣤⣼⣧⣤⣿⡄⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⣄⣀⢰⡶⠶⠿⠿⠿⢿⡀⣿⠃⠀⠀⣰⠏⣠⡾⠛⠉⠉⠉⠉⠉⢩⣿⡁⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠇⠀⢀⡤⠀⠈⣧⢿⠀⢀⡼⣡⡾⠋⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⢠⡾⠀⠀⣴⣿⣼⣿⢟⡼⠋⠀⠀⣾⣀⣀⣀⣀⠀⢠⡿⢻⡇⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣾⠟⠛⢻⣿⣿⣁⣨⣿⡟⠛⢻⡟⠉⠩⠭⣍⡙⢿⣾⠇⢸⡇⠀⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⣿⣦⣀⠀⠙⠛⠿⠟⠋⠀⠀⢸⡏⠀⠲⢤⣀⠉⠳⣿⠀⢸⣿⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⣠⠟⠉⠙⠛⠷⢶⣤⣤⣀⣀⡀⢸⣷⠤⣄⡀⠈⢷⡄⣿⠀⠘⣿⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⠙⠷⣦⣀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠻⠀⠀⠉⠳⣦⣻⡿⠀⠀⣿⠀⠀⠀⢸⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠈⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠈⠙⠻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢻⡇⠀⠀⣿⡇⠀⠀⠸⣿⡀⠉⠓⠢⢤⣀⡀⠀⠀⠀⢸ ⠀⠀⢠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡏⠀⣀⣀⣤⣤⣶⡿⠟⠋⠻⣷⣦⣄⡀⠀⠀⠀⠀⢀⣿⠇⢼⡇⠀⠀⣿⡇⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠉⠑⠲⠤⢸ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠛⠛⠋⠉⠀⢿⡇⠀⠀⠀⣿⠀⠉⠛⠷⣦⣄⡀⣼⣿⠀⢹⡇⠀⠀⢸⡇⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⣿⠀⠀⠀⠀⠀⣼⡟⠻⣿⠀⠀⣷⠀⠀⢸⣷⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣭⣾⢏⡼⣡⣿⢫⠵⣩⠧⣍⢏⣿⣬⣣⢝⣌⢧⡹⣌⡳⢎⡽⣙⢿⣿⣷⣭⣎⣵⣩⣞⣿⣿⣮⣵⣩⣎⣵⣩⣎⡵⣭⣎⣵⣭⣎⣵⣭⢮⡵⣭⢮⣵⡹⢎⡷⣭⢳⢯⡹⣭⢳⡝⢮ ⣿⣯⣛⣞⣿⣻⡟⣿⣽⣿⣿⣿⣎⠿⣿⣏⡞⢯⡳⢏⡟⢯⡝⢯⠻⣽⣿⣿⣿⣿⣽⢞⣻⣿⣿⢻⣟⣯⣿⡹⣏⡟⣯⣛⣞⡳⢯⣛⡞⣯⢻⣝⡻⢮⡝⣯⠞⣵⢫⡞⡵⢣⢟⡼⣫ ⣿⡷⣹⣾⣿⣟⣿⡟⣯⣛⣭⡿⣿⡟⡽⣻⣿⣳⠻⣝⢞⡳⣏⢯⣛⢶⣻⣿⣯⣟⣿⣿⡽⣿⣿⡟⣿⣿⡽⣷⣻⠾⣵⢫⡞⣽⢳⡝⣾⢳⢫⡜⣭⢳⡹⣒⠻⣬⢳⡹⢜⢣⢎⡵⢣ ⣿⣿⣟⣷⣿⠟⢱⣾⠋⢂⢉⠻⣾⡈⠑⠃⢻⣿⡑⠌⢊⠥⠉⠎⡑⢊⢹⣿⣿⣇⠊⢿⣿⣿⣿⣯⠐⢻⣿⡙⢿⣯⠳⣍⡉⢙⢷⣉⣜⢣⡳⡜⢦⢣⠳⣍⡳⣌⡳⡜⣎⢎⠶⡸⢥ ⣿⢿⡿⣿⠋⣼⡿⢁⠐⡀⠢⢀⡙⢿⣮⠐⢂⠻⣿⣌⣠⣶⣌⠒⡀⢂⠘⠛⠛⠛⡀⠌⠛⠛⠛⠛⠠⢈⣿⣿⡘⣿⣷⡘⣿⣏⠲⠻⣿⡒⢣⠙⠎⢣⠛⠔⠓⡌⠓⡙⠘⡊⠓⡙⠎ ⠤⠤⠤⠤⠤⢤⡰⢄⠦⡰⢄⠦⠄⠦⠄⢲⣤⣶⣾⣿⣿⣿⣿⣶⠠⠆⠌⠦⠡⢌⠰⠌⠌⡘⠄⠃⠆⡡⠉⢌⡐⠌⡉⠩⢉⠉⡐⠠⠉⡁⠂⠌⡐⠡⠈⡄⠃⠄⢡⠠⠁⠄⠡⠐⡀ ⣉⣈⡁⡌⣈⠄⡐⣀⢂⡐⠠⣐⣨⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠌⠠⢁⠂⡐⡈⠐⡤⢘⠂⠖⠠⢁⠂⠄⠂⠄⡁⢂⠘⡈⠄⠡⣀⠉⡐⠠⢃⠡⣀⠡⠌⠄⣂⠉⡄⠃⡄⡁ ⡒⢤⢓⡸⢄⣋⠱⢌⣦⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡙⣌⢣⠱⣉⢇⠣⣍⠚⣍⠣⡍⢎⠭⡙⡜⣡⢋⢎⡱⢩⠓⣌⠣⣍⠳⣉⠖⣡⢋⡜⠳⣌⠳⣘⢣⠚⡥ ⡸⠄⣇⠸⣄⠸⣼⣿⣿⣿⣿⣿⡄⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⠘⣅⠻⡠⢜⢣⡘⢧⡘⠧⡸⡘⢤⢣⠸⣀⠟⣠⢃⢇⠻⣀⠧⡘⢤⢃⠼⣀⢇⡸⢣⡘⢣⡘⣄⠻⡠ ⠥⡓⠤⠣⠜⡒⠼⣿⣿⣿⣿⣿⣿⡀⠀⠀⣔⣒⡻⢭⠟⣧⣿⣦⣝⣿⣿⡇⡙⢤⠣⣑⢊⠦⣉⠖⢬⠱⣡⢙⢢⢡⠓⣌⠲⡡⢎⡌⡓⣌⠲⣉⠦⣉⠖⡡⠎⡔⢣⡘⢥⠚⡤⢣⡑ ⢣⢅⠫⡅⢣⡉⢎⢿⣿⣿⣿⣿⣿⣷⠀⢰⣿⠟⠉⠀⠀⠀⠀⠀⠈⠹⣿⣷⣙⠆⡱⢌⢢⠓⣌⠚⡤⢓⠤⣃⠎⠤⠓⡤⢣⡑⢦⡘⠥⣌⠣⡜⡰⣁⠚⡤⡙⢬⠱⣘⢢⡙⡔⢣⠜ ⢃⢎⡱⢌⡡⠜⣈⠾⣿⣿⣿⣿⣿⣿⣇⠸⠁⠄⠀⠀⠀⢠⡀⠀⠀⠁⣻⣿⣿⣮⣕⢊⠦⡙⢤⢋⠴⡉⢖⡨⠜⣌⠳⡐⢣⠜⢢⠜⡑⢆⠳⡌⡱⢄⡋⡔⠱⣂⠓⡌⢦⠱⣌⠣⢎ ⢌⠲⢄⡃⢦⣙⣤⣯⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣠⡆⠙⣶⠶⠟⠋⢻⣿⣿⣿⣿⣶⡑⢪⠜⢢⡙⢤⠓⡜⣠⠣⣙⢢⠙⣆⡙⡜⣈⠧⢰⡑⠎⡴⢉⠖⣡⠙⡜⢢⠓⣌⠳⣈ ⣬⣶⡷⡟⢛⠉⠉⣿⣼⣿⣿⣿⣿⣿⣿⣷⢚⠷⠾⠛⡋⠀⠀⢘⣆⣀⠠⠈⢿⣿⣿⠿⢣⡙⢣⠏⢧⡋⢦⡙⠴⣁⠳⡌⢢⢓⣴⡜⣄⠣⣜⣷⣿⡸⡔⣩⠚⣄⠫⠜⣡⢋⡔⠣⢆ ⠟⠉⠀⢳⡀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠀⡀⡴⠓⣒⣲⣬⣉⠀⠀⠀⠀⠘⣯⢯⠜⡡⠜⣡⠚⣤⠙⡴⢨⠱⡌⢣⠜⣥⡟⠉⢿⣠⣿⠟⠁⢸⡷⡑⢦⡙⢤⢋⡜⢤⠣⡜⡱⢊ ⠊⠀⠀⠈⣇⠂⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⣧⣿⢿⡟⣛⠛⠻⠿⠦⠄⠀⠀⢻⣧⢺⡥⣋⠴⣉⠦⢩⠔⢣⣱⣮⣃⣾⠏⠀⠀⠘⣿⠃⢀⡀⠀⣿⡑⢦⡘⣂⠧⡘⢆⠳⣌⠱⣃ ⠀⠀⠀⠀⠸⡆⢀⣼⣿⣿⣿⣿⣿⣿⣟⠻⢿⠈⣧⡞⢸⡟⠀⠀⠀⠀⠀⠀⠀⢸⣧⢋⢿⡥⢒⡔⣪⠅⣎⣝⣿⣹⢿⣿⣀⢸⣇⠀⠸⣆⣼⣷⣀⣼⣟⡤⣓⠤⢣⠍⣎⡱⢌⠳⡄ ⠀⠀⠀⠀⡀⢻⡀⠉⠉⠹⣿⣿⣿⣿⣿⣦⣤⣤⡜⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣼⠿⣌⠚⡔⣣⡞⠛⡟⠋⠙⠉⠉⠉⠉⠉⠉⠛⡇⢀⢿⣍⣙⡇⢀⣿⣉⣉⣿⢱⠾⡰⢯⣌⡓⣌ ⠂⠀⠀⠀⠱⡀⢧⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⠀⠀⢶⣛⣿⣟⡏⢍⢣⠚⡤⠙⡴⢡⠻⠞⡶⢻⡿⢛⣿⣿⠛⣿⡿⢿⣻⣆⢺⣿⣯⣽⣸⣿⣿⡽⣶⣿⣿⣷⣯⣷⣼⣴ ⡀⠀⢀⡀⢄⠹⡞⡆⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠈⣿⡣⢿⡟⡿⣦⡓⢬⡑⢆⠣⡉⢞⣴⠟⣱⢿⡿⣺⣷⣿⢱⢃⣩⠻⣞⣯⣏⣟⣟⣸⣿⠥⠟⣻⣿⣿⣿⡿⣿⣿ ⠈⠑⠲⠤⣀⠑⢝⣽⣄⣀⣤⣿⣛⠻⡭⢭⡹⢬⡙⢟⢿⣟⡶⣄⣼⡟⡬⢿⣷⣿⡝⠢⠜⣂⠧⣹⠞⣡⡞⢣⣾⣽⡟⣾⠇⢎⣆⣿⣿⣿⣆⢸⢹⣀⣷⣫⣴⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣤⣄⣤⣤⣍⣺⣿⡿⢿⣤⡛⢷⣝⣌⠳⣌⢣⡙⣎⣶⣽⣾⣭⣿⣷⣯⣞⣿⣿⣮⣧⣳⣼⣾⣋⣾⣿⣍⣾⣷⣿⣼⣿⣜⣬⣾⣷⣿⣧⢻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡛⣍⠒ ⠀⣀⢀⡀⣠⡴⠋⠁⠀⠀⠙⢿⣥⡻⣮⣳⣬⠷⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠭⢩⠍⡭⢩⠍⡩⢍⠭⢩⠍⢭⢩⢹⣿⠌⣿⣿⡿⣛⣿⡿⢿⡻⢍⢆⢣⠱⣄⢫ ⠉⠉⣩⠟⠉⠀⠀⠀⠀⢀⣀⡦⠞⠷⠛⠉⠋⠛⠙⠛⠛⠛⠛⠛⠛⠛⠓⠛⠚⠒⠓⠒⠒⠒⣿⢞⡳⢞⠳⡛⡞⢳⡛⢞⣛⢛⡻⢾⡿⣗⢪⠜⡱⡘⡔⢢⠝⣲⠏⣎⡘⢤⠓⣌⠶ ⢠⡞⠁⠀⠀⠀⢠⣴⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢢⡜⠂⣧⢱⡌⢣⡜⢢⡜⢢⢱⣾⡏⢻⢳⣬⠁⠓⡌⠃⡞⢱⠋⡔⠘⣦⠙⣬⠛ ⠈⢷⡄⠀⠀⠘⢯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣻⢄⢣⠚⢤⢢⠑⡎⢔⠣⡘⣌⢳⡿⣿⣾⢿⣧⡍⢆⡍⢢⢱⢫⢎⣷⣷⣾⣷⣿⣿ ⠀⠘⢻⡤⢔⡪⠝⣻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢏⠣⠜⢢⡉⠖⣢⠙⡌⢎⡒⡱⣸⣿⠛⡼⣿⣟⡾⣝⢢⡜⢥⡋⣯⠜⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠹⣷⣚⠽⠊⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⡿⣋⠬⣁⠏⣢⠱⣉⠤⢋⡜⠢⣅⣷⠿⣧⠹⣐⢿⣿⡿⣽⡖⡜⢢⣙⡶⣹⣿⣿⣿⣿⣿⣿ ⣦⣄⡀⠀⠈⠙⢦⡀⠀⠀⡻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠯⡑⠤⠓⣌⠲⣁⠖⡡⢎⣡⣬⣷⢟⢏⢣⠽⡱⢌⠞⣿⣿⣳⢿⣌⢣⡜⡳⢤⢋⠭⣉⠧⣩⢏ ⡎⣝⠻⣷⣦⣤⣄⣙⣷⣄⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⠶⡟⣋⠒⡥⡙⣌⣓⣄⣳⣬⣼⣶⡿⣿⠹⡌⢎⡜⢢⡙⢷⡊⣜⢻⣿⡽⣯⢧⡓⣼⢃⠇⣎⠲⣡⢚⡵⢊ ⡳⣌⠷⡴⢧⣩⣽⠿⠟⠛⣳⣦⠉⠻⣟⣛⣛⣛⣛⣛⣛⣛⣛⡛⠛⠻⢿⣟⣛⣛⣛⣛⠛⠿⣿⣿⣍⡳⢦⡙⢿⣷⣞⡰⣌⠣⡜⣡⢗⡬⢹⣿⡿⣽⣻⡜⣼⢩⠚⡤⢓⢦⡻⢬⣹ ⡱⢎⢳⣩⡾⠋⣁⣴⢾⣻⡿⢉⠀⠀⣿⣽⢿⠻⣏⠻⣍⠯⡝⡽⢻⢶⣄⠈⠻⣟⡝⡻⢻⣷⣤⡉⢻⣿⡩⣝⡲⣍⠻⣝⡳⢧⡹⣔⢫⢖⣣⠿⡟⡷⣯⢿⡸⢥⠓⣌⠳⣼⢃⡇⣾ ⣱⢫⡾⠋⢠⣾⣻⣸⡾⠋⣠⠋⡼⢀⣿⣣⣎⣳⣌⣳⣌⣳⣩⣜⣣⣎⣽⣷⣄⠘⢿⣕⣳⣬⣹⣿⣤⠘⢿⣖⡵⣊⠷⣌⢳⣃⠷⣌⣷⢮⣶⣻⣽⣻⡽⣯⢟⣦⢏⡴⢣⡟⠬⣜⣳
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⠍⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⣽⣿⣿⣿⣿⣿⣿⣿⣯⣅⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡍⠉⠉⠉⢉ ⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⡀⢁⠨ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠄⢀⠂⢨ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢀⠂⠠⢰ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠠⠀⡁⠰ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠁⠠⢘ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠈⠄⢨ ⠄⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⢂⢨ ⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠐⠀⢸ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠠⠁⡐⠰ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠐⠀⠄⢘ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⣙⢬⠣⡝⣌⠳⣌⢇⡣⡝⣘⠦⡓⡜⢆⡳⡘⣆⠳⣘⢆⢳⡘⢦⢓⡌⢷⢦⡐⢦⠒⣔⠢⡆⢴⠠⢆⠴⡠⢆⠴⡠⢆⢤⡰⡐⣖⠺⣖⡛⢞⡚⢶⠛⣖⠳⣖⠫⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⠡⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣷⣻⣞⣷⣻⡞⡿⣞⢷⣞⡶⡶⢶⣳⢞⣶⣳⢞⣶⡳⣞⣻⢻⡟⣿⢻⣟⣿⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠠⠁⠠⢘ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣏⣶⣉⣖⡙⢦⡙⢦⢃⡞⡰⡙⢆⠳⣩⠜⣪⠔⡳⢌⢣⢣⢎⢣⢞⣢⢋⡔⣫⣮⢱⡃⢯⢌⡳⢩⠖⣙⢎⡱⡹⣘⠎⡵⣊⢖⣡⠳⣌⠳⡤⢫⢜⡩⢖⡹⢌⡳⢌⡳⠜⣔⠪⣝⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢋⠡⡐⠌⡠⣒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⢻⣵⢻⡞⣮⢗⡿⣹⢮⡟⣶⡭⣟⡶⣻⢭⡷⣛⣾⢳⣻⡼⣞⢯⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠌⠀⠬ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠈⠓⠙⠊⠊⠑⠋⠚⠑⠊⠑⠓⠉⠚⠑⠚⠘⠒⠙⠂⠛⠒⠋⠚⠓⠛⠚⠓⠛⠚⠓⠛⠚⠛⠚⠛⠒⠛⣻⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠋⠍⢡⠀⠆⡡⠂⡅⠰⢁⠰⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠙⠋⠛⠉⠋⠙⠉⠙⠉⠙⠉⠋⠙⠉⠉⠋⠉⠉⠉⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⡀⠌⢘ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⢋⣼⣿⠟⢋⠉⠩⠙⠛⠛⠛⡛⢿⣿⣿⠛⡛⢛⠛⠛⠛⡙⠩⡉⠍⡰⠠⠄⠃⡄⢃⠉⠌⢂⠌⢂⡁⠒⡠⢁⠂⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⢦⡀⠀⠀⠀⠀⠳⣄⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠄⠠⢨ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⢀⡴⠒⠓⣆⠀⠀⠀⢠⠖⠒⠲⡄⠀⠀⠀⣠⠖⠒⠲⡄⠀⠀⠀⡐⢨⠁⠀⠀⠀⠀⢀⡤⠖⠀⠀⠀⠀⠀⠀⠀⣠⠤⠂⠀⠀⠀⠀⠀⠀⠀⣠⠴⠂⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠃⣾⠟⠡⠈⡄⢉⢂⠉⠄⠣⡐⠄⠩⢿⣿⠐⠠⠃⡌⠡⠃⢌⠡⠐⢌⠠⣁⢮⣴⣾⣶⣾⣦⣅⡈⢂⠄⢃⡐⢂⠸⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠈⢳⣄⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠹⡆⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠌⢀⠨ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⢀⡏⠀⠇⠀⣽⠀⠀⢠⠏⠀⠀⠀⡇⠀⠀⢰⠃⠀⠀⢀⡇⠀⠀⠀⠠⢰⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⢀⡞⡇⠀⠀⠀⠀⠀⠀⠀⢀⡾⠅⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡿⠁⡌⣄⣦⣵⣷⡾⠷⢾⣾⣼⣄⠰⢁⠒⠠⠉⡄⢃⠱⢀⢃⠩⡀⠆⡉⢤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠌⢂⡐⠠⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢸⣿⠀⠀⠀⠀⠀⡿⡇⠀⡀⠀⠀⡿⣇⠀⠀⠀⠀⠡⣇⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢂⠠⢘ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠀⠀⠀⢸⠆⠀⠀⠀⣯⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⢾⠀⠀⠀⠀⡇⠀⠀⠀⣸⣴⡃⠀⠀⢠⡇⠁⠀⠀⠀⠀⠀⠀⠀⢸⠐⡇⠀⠀⠀⠀⠀⠀⠀⣼⠸⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠁⣼⣾⡿⠋⠁⠀⠀⠀⠀⠈⠉⢻⣷⡦⡈⠥⢁⠒⡈⠰⠈⠤⡁⢒⠐⡸⠛⡉⢡⠀⡄⠨⡙⢿⣿⣿⣿⣿⡆⠡⠠⠑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠸⣯⠅⠀⠀⠀⠀⡗⡇⠀⠀⠀⠀⢿⡥⠀⠀⠀⠀⠡⡇⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠐⠀⠄⠸ ⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⠀⢸⠃⠆⠀⠀⡿⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⣏⠀⠀⠀⠀⠇⠀⠀⠀⣿⢼⡃⠀⠀⠰⡃⡄⠀⠀⠀⠀⠀⠀⠀⢸⢈⡇⠀⠀⠀⠀⠀⠀⠀⢼⠈⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⢀⣳⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⢃⠂⡅⠌⡡⠘⡀⠆⡁⠒⠄⡑⠨⠐⢨⠐⢡⠐⡈⠹⣿⣿⣿⣿⠠⡁⢭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢘⡿⠀⠀⠀⠀⠀⡏⡇⠀⠀⠀⠀⣻⠔⠀⠀⠀⠀⠡⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠠⠁⡐⢘ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⢸⠀⠀⠀⠀⣟⠀⠀⢈⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⡙⢺⠅⠀⠀⢈⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢧⣀⡀⠀⠀⠀⠀⢀⣸⣠⣤⣤⣶⣿⣿⣿⣿⣿⣿⡟⢀⢺⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠎⡐⠠⠘⠠⠡⣐⢢⣁⣬⣶⣼⣶⣭⣤⣮⣀⢆⠐⠡⠘⣿⣿⣿⡇⢐⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠨⣗⠀⠀⠀⠀⠀⠇⡄⠀⠀⠀⠀⢼⠂⠀⠀⠀⠀⢂⡇⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠂⢀⠸ ⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡝⠀⠀⠀⢰⠀⠀⠀⠀⢎⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠔⢨⠆⠀⠀⢈⠆⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠠⣘⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣧⣴⠡⢁⢪⣵⣾⠿⠛⠉⠀⠀⠀⠀⠈⠙⠻⢿⣞⡤⠁⠜⣻⣿⡗⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣟⠀⠀⠀⠀⠀⡃⠆⠀⠀⠀⠀⢸⠂⠀⠀⠀⠐⠠⡇⠀⠀⠄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠠⠀⠂⢘ ⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⠀⠰⠀⠀⠀⠀⢎⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⠀⠀⠀⠀⠂⠀⠀⠀⠃⢨⠂⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⢰⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⠁⣿⣿⡆⢀⣠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⣰⣿⣰⡟⢁⠂⣦⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡅⢂⡑⢻⣏⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠠⣟⡂⠀⠀⠀⠀⡅⡇⠀⡁⠀⠀⢸⡀⠀⠀⠀⢌⠐⡇⠀⠀⡆⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠠⠁⢈⠰ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⢘⠀⠀⠀⠀⣎⠀⠀⢐⠀⠀⠀⠀⡇⠀⠀⢠⠀⠀⠀⠀⠂⠀⠀⠀⠁⢨⠃⠀⠀⠐⡅⠀⠀⠀⠀⠀⠀⠀⠀⢘⢠⠃⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⡅⢂⠼⢽⣧⣸⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⣴⣿⣿⡃⠔⡊⢰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⠠⡐⡀⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠐⠀⠀⢈⣿⠄⠀⠀⠀⠀⡇⡇⠀⡅⠀⠀⢸⠄⠀⠀⠀⠀⠌⡇⠀⠀⡇⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⡈⢀⠰ ⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⠀⠀⠀⢰⠀⠀⠀⠀⣎⠀⠀⢨⠀⠀⠀⠀⡇⠀⠀⠰⠀⠀⠀⠀⡃⠀⠀⠀⣡⢨⡇⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠠⠇⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠡⢘⠠⣁⠂⡉⢿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣤⣾⣿⣿⠃⠰⠈⡄⢹⣿⣇⣴⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡱⢀⠱⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢐⣿⠂⠀⠀⠀⠀⢂⡇⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⡈⡇⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠐⠀⠄⢘ ⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠀⠀⠀⢸⡀⠀⠀⠀⣽⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⣹⠀⠀⠀⠀⡇⠀⠀⠀⣿⣻⡅⠀⠀⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠃⠀⠀⠀⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢘⠠⠒⠠⠁⢆⠠⢉⠻⢿⣿⣿⣿⣿⠿⠟⠋⣤⣿⠃⠌⣀⠃⡔⢈⢿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢀⣾⠇⡓⢈⠤⠑⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⢿⡂⠀⠀⠀⠀⣰⡇⠀⢠⠀⢀⣾⣜⠀⠀⣠⣀⣶⠏⠀⠀⣧⢀⣷⠀⠀⠀⠀⠀⡄⠀⠀⠀⡇⠈⠄⠈⢰ ⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠀⠀⠀⢸⡥⡀⠀⠀⣾⠀⠀⢸⢠⡄⠀⠀⣧⠀⠀⢞⢠⡄⠠⢘⡇⠀⠀⠀⡟⢷⡇⠀⠀⢠⡇⠀⠀⠀⠀⢘⡃⠀⠀⢸⡀⠀⠀⠀⠀⢠⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⢐⠨⢐⢉⠰⠉⢄⢊⠰⢀⠆⢠⠠⠄⡠⢂⠘⠠⠿⢿⣷⣶⣴⣂⠐⡈⠘⠻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣠⣾⠏⡐⠌⡂⠄⢃⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣸⠁⠀⠀⠠⡴⣷⠃⠀⠈⠻⠟⠛⠁⠀⠀⠈⠉⠀⠀⠀⠀⡷⢨⢜⠀⠀⠀⠀⠀⡇⠀⠀⠀⢁⠐⠈⠠⢘ ⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⡆⢿⣶⣶⣿⠀⠀⢸⠀⣿⣶⣿⡇⠀⠀⢿⠈⣷⣶⣿⡇⠀⠀⠀⡉⢸⡀⠀⠀⠀⠷⠶⠶⡆⢶⡾⠁⠀⠀⠈⠷⢶⠶⠆⠀⠾⠀⠹⣿⣿⣿⣿⣿⣿⣿⡷⢀⡈⠆⡈⠆⢉⠀⡆⠸⢀⠸⠀⠶⢀⠁⣆⠈⡁⢆⠰⠈⡉⠿⠿⢀⠰⠁⡆⠈⠿⣿⣿⣿⣿⡿⠀⠀⣀⣰⣿⠏⠁⡆⠸⢀⠁⡎⠀⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠰⣎⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠶⠈⠶⠸ ⡇⠀⡄⠐⡠⠂⠔⡈⠤⠑⡌⠂⣿⠀⠀⠀⠀⠑⠒⠒⠛⠃⠀⠀⠈⠓⠒⠒⠚⠁⠀⠀⠈⠓⠒⠒⠚⠁⠀⠀⠀⡇⢰⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡃⠤⠐⡌⠰⠉⠄⢃⡘⠤⢁⢂⢉⡐⣢⣶⣾⡟⠛⠛⠛⠛⠷⢶⣴⣎⠠⡁⠄⣃⠰⠈⡙⠛⡛⢛⠻⠛⠛⡉⠄⡘⠰⠈⡔⠡⢌⠠⠃⠄⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣦⠀⠀⠀⠀⣯⠑⠬⡄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠡⠌⡑⢠⠉⡔⠈⡔⠡⡐⠡⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡐⠄⣃⠘⠤⢉⡘⠤⠐⡰⠈⣤⣿⣾⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠈⠙⠻⣾⣔⢀⠂⢅⢂⠡⢐⠂⡔⠡⠒⡈⠔⠡⠌⣁⠢⠁⠆⡡⢊⠐⠠⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠛⠚⠛⠛⠛⢛⣙⢋⢋⠡⣠⠁⢼⡆⠀⠀⠀⣿⢛⣻⠃⠛⠛⠛⠻⡇⠀⠀⠀⠀⠀⠀⠀⢠ ⡇⠡⡘⠤⠁⠆⡄⢃⠤⣁⠰⢁⠹⣤⢤⡤⣤⢤⡤⣤⢤⡤⣤⢤⡤⣤⢤⡤⣤⢤⡤⣤⢤⡤⣤⢤⡤⣤⢤⡤⡤⣬⣬⡆⠀⠀⠀⠀⠀⠀⢠⡞⢉⣿⠏⠉⠈⠉⠉⠈⠉⠉⠉⠉⠈⠀⠀⢻⣿⣿⣿⣿⠠⠘⠠⠌⢂⠅⠰⡀⠣⢠⣱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣤⣤⣌⣽⣷⣌⡄⠢⢘⠠⠌⢠⠑⡈⠔⡈⠆⡑⢠⠂⠍⠤⢁⠂⡉⠄⡡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠖⣚⢫⠙⠭⣁⢎⣢⣑⣭⠶⠼⠧⠤⠦⠂⠉⠉⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⠀⠀⠀⢠ ⡇⢡⠐⡡⣉⠒⣌⣰⣢⡴⠦⠮⠶⠷⣮⣴⣡⣞⣰⣥⣚⣴⣱⣪⣔⣣⣎⣖⣥⣚⣴⣱⣪⣔⣣⣎⣴⣣⣎⣴⣡⣿⣽⠇⠀⠀⠀⠀⠀⢀⡏⠰⢸⡇⢤⠤⠤⢠⠠⠤⠤⠤⠤⠤⠤⠤⡄⡀⢿⣿⣿⣿⡀⢉⠆⡑⠨⠌⢡⠐⡁⢆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡑⣈⠐⢌⡐⠄⢡⠂⠡⠌⠤⠡⢘⠨⠄⠃⡌⠤⠑⠠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠥⠾⠒⠚⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⢸ ⠃⠂⠉⠀⠠⠄⠠⠀⠄⠄⠲⠐⠢⠍⠭⠭⠯⠽⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠜⠭⠩⠥⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠾⣇⣀⣀⣀⣀⣀⡼⠧⠧⠿⠧⠒⠌⠣⠅⠚⠔⠣⠚⠬⠱⠍⠦⠑⠜⠌⠻⢽⣿⡆⢁⠒⣈⠡⢘⠠⠡⢘⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⡘⢠⠐⢨⠐⢨⠑⡈⠆⠱⡈⠰⡈⠅⠢⠄⢃⠢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⢘ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡄⡘⢀⠢⠁⠆⡑⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⠠⢉⠄⢊⠄⠢⢑⠨⡁⢌⠡⡐⠩⡐⠌⡂⠔⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡔⡈⠤⢉⡐⢈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠁⣊⠰⢈⠡⠌⢂⠡⠌⢂⠡⡑⢠⠃⡘⡀⠆⠠⡀⠄⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣶⡠⢁⠰⠈⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣆⠐⢂⠡⡘⠠⠃⡌⡘⠄⢃⠰⢁⢂⠡⢈⠿⠷⢾⣾⠷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ 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⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣾⣿⣷⣼⠴⠧⡖⢧⠼⢥⠯⢿⣿⣳⡿⣿⣏⠶⡱⡍⢶⡩⢞⡡⢎⡭⢲⡹⡜⣹⣿⣯⣟⣿⣗⢊⡖⡛⡜⢼⣿⣏⣠⣼⣶⣷⣿⣬⣥⠙⣻⣿⡿⠿⠛⠛⠛⢿⣿⣟⣿⣟⣻⣽⣯⣿⣽⣿⣿⣿⣾⣿⣿⣿⢿⡿⢿⡻⣟⠿⡿⣿⣿⡟⢻⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⡏⠻⢿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡏⠀⠀⣴⣦⣤⣴⣿⡇⣿⣿⣿⣿⣶⣿⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠤⣩⣽⣿⡱⣘⢦⡙⣦⣙⡬⣿⣿⣽⣟⣿⣧⢓⡹⢦⡙⢦⡙⢮⡜⣣⠕⣮⠱⣻⣿⣾⣻⣿⣇⠦⣱⣘⠢⣽⣿⣿⠿⠛⣉⣥⣴⡿⢇⠈⢿⣧⣴⣶⣶⠶⠾⣟⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⢿⣷⢎⡿⣷⡹⢧⡻⣜⢯⡵⢫⣽⣿⠀⠙⢿⣿⣿⣿⡅⠈⠻⣿⣿⣿⣇⠀⠀⠉⠙⠛⠿⠿⠿⠿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠈⠿⠿⠛⠿⣿⣃⣿⣿⡿⣿⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠿⣿⣿⣿⣧⣧⣭⣆⠹⡐⢆⠲⣙⣿⣷⣻⣯⣿⣧⡙⢦⡙⢦⡙⢦⡓⣥⠛⣔⢫⡜⣿⣷⡿⣽⣿⡎⢥⣉⠳⣘⣿⣧⣰⡿⠟⡉⣤⣴⣮⡖⢈⠉⠄⡐⢻⣦⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣯⢞⣿⡝⣧⢻⣜⡳⢞⡳⣞⣿⡇⠀⠀⠉⠻⣿⣇⠀⠀⠈⠛⢿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣦⣀⠀⠀⢀⣠⣿⡇⣿⣿⡇⠈⢻⣿⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⣿⡏⢉⠉⣉⢻⣯⢓⡹⣉⠳⣉⠾⣿⣯⣷⢿⣿⣝⢦⡙⢦⡙⢦⡙⢦⡛⣬⠣⢞⣹⣿⡿⣽⣻⣿⡦⢌⠳⡔⠾⢿⣿⡀⣶⣿⠿⣻⢿⣿⣶⣼⣦⣴⣭⣽⣧⣀⣈⣆⣀⣀⣀⣀⡀⣀⠀⣀⠀⣀⣸⣿⡞⣼⣿⣜⡳⢮⣝⣭⣷⣽⣿⡇⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢻⣋⡋⣙⢉⠛⠛⢛⣗⠀⢰⣐⡶⡖⣖⣲⣶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡿⠛⠛⠛⣿⣬⠱⣌⣣⡑⣎⢿⣿⡾⣿⣽⣿⣦⡙⢦⡙⢦⡙⢦⡹⡔⣫⠞⡰⢿⣿⣻⣽⢿⣷⡌⢣⠜⢢⠍⣿⣿⡿⢃⡱⢣⢾⣿⣿⡍⠉⠉⠉⠉⠉⠻⣿⣿⣿⡿⠿⠟⠛⢛⣿⣿⣿⣿⣿⣿⣽⣾⣿⣾⣿⣿⣿⣿⢿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠈⠉⠉⠉⠈⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⣿⣶⣷⣾⡿⢏⡹⢌⠥⡙⡜⢪⢿⣿⢷⣟⣾⣷⡝⢦⡙⢮⡙⢦⡓⣭⠲⣍⢳⡹⣿⣿⣽⣻⢿⣯⡅⣛⠱⣊⠝⡛⠧⣙⠲⣉⠞⡴⣿⣿⡀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⣼⣿⣿⣳⣟⡿⣿⡿⣟⡿⣯⢿⡽⣾⣽⣻⢾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⣿⣷⡌⢲⡉⢖⡩⢜⡡⢞⣿⡿⣯⣷⢿⣿⢦⡙⢦⡙⢦⡹⡔⡳⣌⢳⠲⣹⣿⡾⣟⡿⣿⣧⢌⡓⠬⣘⠡⡓⡌⡱⢢⠙⢶⡹⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣷⣻⢾⣽⣳⢿⣽⣻⡽⣯⣟⡷⣯⣟⣯⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰ ⠄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⣀⣀⣀⡀⡘⣿⣷⣣⡜⣢⣑⢎⡔⣣⣹⣿⣟⣾⣟⣿⣧⣿⣶⣽⣶⣷⣽⣳⣾⡷⣟⣾⣿⣽⣟⣿⣽⣿⣧⡜⡱⣌⡱⡘⠴⣁⢣⡙⢢⠳⣽⣿⣆⡀⠀⠀⠀⠀⠀⣀⣀⣀⠀⣸⣿⣿⣳⣯⣟⣾⣽⣻⣞⣷⣻⡷⣯⣟⣷⣻⣾⣽⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⢀⠀⠀⢀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡀⠀⡀⠀⡀⠀⠀⠀⡀⠀⠀⠀⢀⠀⢀⠀⢀⠀⢀⠀⢀⠀⢀⠀⢀⠀⡀⢀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⢸
🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦 🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦 🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜🟦 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬛🟨⬛⬜⬜⬜⬜⬜🟦 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨⬛⬜⬛🟨🟨⬛⬜⬜⬜⬜🟦 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟨🟨🟨🟨⬛🟨🟨🟨🟨⬛⬜⬜⬜🟦 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜🟦 🟦⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟥🟥🟨🟨⬛⬜🟦 🟦⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟥🟨🟨🟥🟨🟨⬛🟦 🟦⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟥🟥🟨🟥🟨🟨🟨⬛ 🟦⬜⬜⬜⬜⬛🟧⬛🟨🟨🟨🟨🟨🟨🟥🟥🟥🟨🟨🟨🟨🟨🟥🟥🟨🟨🟨🟨🟨 🟦⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟨🟥🟨🟨🟨🟥🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟦⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟥🟨🟨🟨🟨🟥🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟦⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟥🟨🟥🟨🟨🟥🟨🟨🟨🟨🟨🟨🟨🟦🟨🟨 🟦⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟥🟨🟨🟨🟥🟨🟨🟨🟨🟨🟨🟨🟨🟦🟨 🟦⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟥🟥🟥🟨🟨🟨🟨🟨🟨🟨🟨🟨🟦🟨 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟦🟨 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟦🟨🟨 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟨🟦🟨🟨🟨🟦🟦🟨🟨🟨 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟨🟦🟦🟦🟨🟨🟨🟨🟨 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟨🟨🟨🟨🟨 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟨🟨🟨🟨 🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟨🟨🟨 🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬛🟨🟨🟨🟨🟨 🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟧🟧🟧⬛🟨🟨🟨🟨
Court: We're singing as we're falling! Heather: While some are cannonballing! Izzy: Yeah! Alejandro: Our lives begin to flash before our eyes! Noah & Owen: We might just go "ka-blowey!" Harold & Tyler: Get smushed and become chewy! Everyone: 'Cept there's tons we want to do before we die! Leshawna: Billionaress! Cody: Billiards Champion! DJ: Make it home to see my mama! Sierra: Marry Cody! Bridgette: Catch a barrel! Lindsay: Be an actress in a drama! Courtney: Corporate Lawyer! Gwen: Prom Destroyer! Harold: Be a ninja with throwing stars! Alejandro: Lion Tamer! Owen: New food namer! Tyler: Repairman for the parallel bars! Noah: But first, we must cease dropping. Our goal here would be stopping. Izzy: Before we smash into the ground from the sky! DJ: Smash into little pieces! Harold: Heads merged with out feces! Leshawna: That would really suck and here's why! Bridgette: We'd like to keep on living! Alejandro: So Chris, we hope you're giving! Sierra: Some wings! Courtney: A jet pack! Gwen: A rift in time! Heather: Parachute? Noah: Water bed! Tyler: A trampoline! Izzy: Springy shoes! Alejandro: Rocket boots! Lindsay: Flying squirrel! Leshawna: Bubble bath! Lindsay: I change to bubbles too! DJ: Momma! Owen: Pizza! NO! Chips and some dip will doooo! Everyone: 'Cause there's still so much to do before we die! Yeah, we said it! There's still so much to do, there's still so much to do, there's still so much to do before we die! Yeah!
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⣤⣦⣶⣤⣶⣶⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣀⣴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣠⣄⣠⣠⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⡁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡭⢩⠍⡭⠩⡍⡍⢭⡉⠭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⠚⡔⣃⠚⣔⢣⣜⣜⡴⣈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⣧⣿⣶⣿⠿⠟⠛⠻⣯⡔⡡⠿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣹⣿⡿⠛⢿⣿⠀⠀⠀⠀⠀⢸⣿⢡⢣⣿⣿⠿⣿⣿⣿⣿⡟⣋⢛⡹⠙⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⡥⢋⣷⣄⡀⠀⠀⠀⠀⢀⣤⣾⡟⢢⢍⡹⢄⣿⣿⣿⣿⣿⣟⢻⡟⣛⠻⣿⣿⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⣿⣸⣼⡧⢂⠟⡻⢿⣿⣿⡿⡿⢟⢫⣜⡥⢊⡔⣺⣿⣿⣿⣿⣿⣮⣿⠓⡬⣱⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣿⣿⡛⡔⣻⠿⣋⠵⣈⠇⣎⠱⣂⠖⣰⣢⣽⡾⠿⣋⠕⡣⢼⣿⣿⣿⣿⣿⣇⠬⣡⢋⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⡿⢇⡸⢉⣿⢡⠸⡠⢿⣤⣧⣼⣤⣼⣤⣧⣿⡿⠿⢏⡁⢇⠧⡈⠼⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠿⢿⣿⣿⣯⡜⢢⠱⣉⠇⡎⡱⡘⠦⡑⢆⠲⣌⠲⢌⠲⡰⢌⠳⢌⡜⡌⢲⢉⠖⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠈⠀⠀⠘⠋⠙⢿⣿⣆⠳⢌⡜⡰⢡⢃⠧⣉⢎⡱⢄⠫⣌⠱⡡⢎⠱⣊⠴⣈⠇⢎⠾⡿⢟⡛⣋⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣆⠬⣑⢃⢎⡒⠥⡒⡌⢎⡑⢆⢣⡑⢎⡱⢢⠱⢌⡚⣌⠲⣑⠪⢔⣱⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣌⠎⡒⣌⢣⠱⡘⢆⡍⠎⡆⣍⠲⣐⠣⢍⠲⢌⡔⢣⢌⣱⣮⣾⣿⣿⣿⣿⣾⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣱⠌⣆⠣⢍⠲⣈⠓⡬⣐⠣⣌⠓⣌⢣⢎⡰⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣵⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣦⡙⠬⡱⢌⠓⡴⢁⠳⣄⣫⣴⣿⣇⠲⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣶⣑⠪⡱⢌⣧⣿⣿⠿⢻⣿⡇⠳⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣷⣿⡿⠟⠋⠁⠀⢸⣿⣏⠱⡌⣿⣿⣿⣿⣿⡟⠻⢿⣿⣿⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢸⣿⡇⡓⢬⢹⣿⡟⠿⣿⣷⠀⠀⠙⠻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇⠹⡄⢻⣿⣧⠀⠈⠉⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠛⠛⠛⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣤⣤⣿⣄⣀⣀⣤⣼⣿⣷⣶⣦⣤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠛⡉⠡⢈⠡⠉⠌⠡⠈⠄⠡⢈⠉⡉⠻⣿⡵⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠂⣵⡧⠀⠆⠡⢈⠄⡑⠈⠤⢁⠂⠄⠡⠸⣿⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡗⢬⣿⣿⠀⠀⠀⠘⢿⣿⣷⣷⣷⣾⣾⣿⣾⣷⣿⣿⡿⠀⠀⠀⠀⠸⣿⡇⡜⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢋⢶⣿⡏⠀⠀⠀⠀⠀⢿⣿⣿⣻⢿⣻⣟⣿⣻⣿⡟⠀⠀⠀⠀⠀⠐⣿⡗⡌⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢡⢾⣿⡇⠀⡀⠀⠀⠀⣺⣿⣷⣿⣿⣿⣯⢿⡷⣿⡯⠇⠀⠀⢀⡀⠀⣿⣿⡐⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠡⣾⣿⣿⡿⣯⢆⠀⠰⣿⣿⣯⢿⣿⣿⣽⣿⣻⢿⣷⡦⠀⢠⣿⢿⣖⣿⣿⡐⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣽⡧⢓⠻⣋⣵⠢⢽⣿⡆⠀⣿⣿⢾⣿⣿⣿⣷⣻⣽⡿⣿⣇⠀⣿⡟⣌⣮⠙⡿⢇⣻⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠿⣻⡿⢅⣯⢲⣵⣿⠑⡎⣿⠳⢤⣿⣿⢿⣾⣿⣿⡷⣿⢯⣿⣿⡋⢰⣿⢇⠲⣹⣷⡘⣦⣍⣿⡻⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⢟⣋⣶⣟⢫⣴⠿⣡⣿⣿⣟⠸⡐⣿⠀⠨⣿⣿⢿⣾⣿⣿⣟⣿⣻⣽⣿⡷⢾⣿⠌⡓⣼⡿⣷⡌⡻⣦⡛⡷⣭⡛⢿⣗⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⠛⣬⣾⢟⣱⣾⡟⣃⢳⣾⣿⣿⡇⢣⡑⣿⡀⢀⣿⣿⣟⣾⣿⣿⣯⣿⣽⡷⣿⡗⣾⣿⡌⡱⢸⣧⢿⣷⣅⠫⣷⣧⡙⢿⣶⣌⠳⣟⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⡟⣡⣿⠟⡱⣾⡿⢣⠜⣰⣿⠟⣿⣿⢌⣣⣼⣿⡇⢻⣿⣿⢾⣻⣿⣿⡷⣿⣞⣿⢿⣿⣿⣿⣇⡱⢃⣿⣞⠹⣿⡖⡨⠽⣷⣆⠹⢿⣎⠍⣿⣤⠀⠀⠀ ⠀⠀⠀⢀⣾⢏⡔⣿⢏⡱⢯⡟⢥⢃⣾⣿⠃⠀⢿⣿⣿⠿⠿⠟⠁⢸⣿⣟⣿⣻⣿⣿⣟⣷⡿⣯⣿⣿⡉⠛⠿⢿⢿⣿⣿⠀⠘⣿⡕⢬⡙⣿⣎⡙⣻⣎⡔⣻⣦⠀⠀ ⠀⠀⢠⣾⢏⠲⣼⡏⢆⣳⡟⡩⢆⣽⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡿⣽⣻⣿⣿⣯⢿⣽⡿⣽⣿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⠜⡸⣿⡔⣩⢻⣦⠑⣿⣧⠀ ⠀⠀⠸⣿⣮⣽⡟⣌⢲⡿⢰⡑⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣻⣽⣿⣿⣽⡿⣯⣿⣟⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣎⠱⣚⣿⡤⢩⢿⣇⣼⣿⡆ ⠀⠀⠀⠀⠉⠙⠻⢷⣿⣥⡣⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣯⣿⣽⣿⣿⡷⣿⣻⣷⣻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠦⣹⣧⣷⣾⠟⠛⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠯⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⢿⣾⣿⣿⡿⣽⣷⢿⣽⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢯⣿⣾⣿⣿⣟⣿⡾⣟⣯⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢿⣳⣿⣿⣿⣻⣾⣟⣿⣽⣻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣞⣿⣽⣾⣿⣿⣿⣽⡾⣿⡽⣿⢯⣿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣷⢿⣻⣾⢷⣿⣿⣿⣞⣿⣽⢿⣻⣟⣯⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣯⣿⢿⣽⡿⣿⣿⣷⢿⣻⣾⢿⣻⣽⣯⢿⣿⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡷⣿⣯⣷⢿⣿⣿⣿⣻⣯⢿⣻⣯⣿⢾⡿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⣷⣻⣽⡿⣿⣿⣿⣽⣻⡿⣯⣷⢿⣻⡿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⣽⣟⣷⣿⣿⣿⣿⢾⡿⣽⡿⣽⣿⣻⣽⣿⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣽⣿⣽⣾⣷⣿⣿⡿⣯⣿⢿⣽⡿⣾⣟⣷⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣟⡻⣝⡻⢏⡟⣿⣿⢿⡿⡿⣿⢷⡿⣿⢾⡿⣾⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡟⠛⠛⠛⠛⠛⣿⣿⣿⠧⠿⠵⢯⢾⣵⣫⠞⣵⢣⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢸⡏⠀⠀⠀⠀⣸⣟⣿⡇⠀⠀⠀⠀⣼⡿⣜⡻⡜⣧⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣴⠶⠶⠖⠚⠛⢿⠛⣿⣻⣿⣷⣤⣤⣤⣴⣿⣿⣿⡇⠀⠀⠀⢠⣿⢳⣣⢽⡹⣜⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣮⡞⠋⠀⠀⠀⠀⠀⢀⣴⠟⠛⠉⠉⠁⠀⠈⠳⣤⣷⢬⡷⣤⣤⣤⣤⣾⣽⣣⣝⢮⡳⡝⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⡋⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⠳⣘⠖⡴⢒⡲⢜⡸⣹⢛⠿⡷⣿⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣏⣀⣉⣉⣉⣉⣉⣹⡟⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠛⠓⠛⠚⠞⠓⠳⠞⠳⠖⠻⠞⠳⠖⠞⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠿⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠟⠻⢦⢀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⠀⠀⡉⠙⠻⣿⣿⣿⢦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⠊⠙⠦⡀⠀⠀⠉⠉⠻⡦⣨⣄⣪⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢠⣤⣴⣭⣉⣑⣶⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠻⣽⣿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁

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⣟⢯⡻⣝⢯⡝⣯⠳⣝⡎⢷⣩⢏⡷⢭⡳⣭⢳⡹⢎⡳⣝⠮⣝⢮⡝⣣⢯⡝⢮⣛⣯⢳⡭⣋⠷⣭⢫⡝⣮⣝⣣⢏⠷⣭⢳⡹⢎⡳⣭⢳⡭⢳⣭⣛⡼⣹⢎⡳⡝⣮⢝⡮⣽⢹⢮⣝⡣⢟⣿⣙⢮⡝⡧⢏⡳⣭⢳⡭⣳⢭⡳⣭⢳⡹⢎⡳⡝⣎⠷⣙⢮⡝⣣⢯⡝⣧⢏⡳⡝⡮⣝⣹⢯⡝⣮⢳⡹⢎⡳⣝⢺ ⣟⢮⣳⡹⢎⡾⣱⣛⡼⡜⣧⢣⡟⣼⢣⢟⡴⣫⠳⣏⢳⢎⡻⡜⣞⡼⣣⢗⡞⢧⣻⣽⢣⡞⣭⢻⡜⣧⣛⠶⡼⣡⢏⣟⢲⡏⣵⢫⡳⣕⣫⣜⡳⢞⡶⢭⡳⣭⠳⣝⡖⣯⡜⣮⢏⡶⢮⡝⡽⣾⠭⡶⣹⠭⣏⡳⡵⣋⢶⣹⢲⡝⢶⢫⡵⢫⡗⡽⢎⡯⡝⡶⣹⢣⠷⣹⠮⣝⡵⢫⡵⢮⣹⡯⢞⣖⣫⢵⢫⣓⢮⢳ ⣏⠾⣥⣛⡭⣖⢧⣓⢮⢳⣱⣋⠾⣥⣛⢮⢵⣋⠷⣍⢯⣚⡵⣛⡼⣲⠝⡾⣜⢧⣛⣾⡱⡝⣮⢳⣚⠵⣎⢯⡵⢫⡞⣼⢓⠾⣡⠷⣹⡜⡶⣡⢟⡹⣎⢷⣹⣒⠟⣦⡝⣦⢻⡜⣧⢛⡧⢏⡷⣯⢳⡝⣥⢻⣜⡳⣭⡝⢮⣣⢏⡾⢭⣳⢚⣧⠻⣜⡏⣶⡹⣜⠧⣏⣏⢷⡻⣜⡼⣣⡝⣧⢳⣟⡭⢶⣩⢞⣣⡝⣮⢳ ⣏⡟⣶⡹⢞⡼⣣⠟⣎⡗⢧⡺⣝⠶⡭⢞⣣⣝⣫⢞⣥⢳⠮⡵⡳⣍⠿⣜⠮⣇⣟⣮⢳⡹⣖⣫⢎⡟⣬⣳⣜⣧⣽⣶⣯⣿⣷⣿⣷⣿⣿⣿⣾⣷⣿⣾⢷⣿⣿⣶⣿⣾⣷⣿⣼⣯⣜⣯⢞⣽⣣⠟⣼⡓⣮⢵⡲⣝⣣⢧⣛⡼⢳⣜⡫⢖⣛⡦⣝⠶⣙⢮⡝⡶⢭⡞⡵⢮⣕⡳⣜⢧⣛⣮⠳⣧⣹⢚⡦⣝⡖⣫ ⣧⢻⡔⣏⢧⡝⣮⡝⣞⢼⣣⠟⣼⣛⡼⣋⢶⡱⣎⢯⡜⣧⡛⣵⣛⡼⣋⢾⣹⠲⡽⣞⣣⢗⣣⣽⣾⣿⡿⠿⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠻⠿⣿⣶⣿⣲⣝⣚⢮⡵⢣⣏⢶⡹⣜⡳⢎⡽⣋⠾⣜⣣⢟⡹⣎⡳⡝⣧⢻⣭⠳⢮⡵⢫⣞⣹⢾⣙⠶⣱⢏⡞⢶⡹⣱ ⣧⢳⣝⢺⢎⡵⡳⢮⡹⢶⣩⢞⡵⣎⡳⣝⡎⡷⢭⡞⣱⢮⡝⢶⡱⣳⡹⢮⠵⣫⣽⣿⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣾⣜⡳⢎⣧⢻⡜⣵⢫⡞⣭⢳⡽⣸⢎⡷⣩⠷⣹⢎⡷⢎⡟⣵⡚⡷⢮⣱⡿⡜⡯⡵⢮⣹⢣⡽⣱ ⣗⣫⡜⣏⢮⡳⣝⢧⣛⢮⢵⣋⠶⣭⢳⠞⣼⣙⢧⡞⡵⣳⢚⣧⢛⢶⣙⢧⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣽⣎⡳⢞⣥⠻⡼⡱⣏⢶⣹⣚⡼⢣⡟⣥⢻⡜⣯⣚⣥⢻⡱⣏⡞⣿⣱⠳⣝⣣⢗⡫⡖⢧ ⣧⢳⡹⣎⡳⣝⡺⣬⢧⣛⢮⢞⡹⢮⣭⢛⠶⣭⠶⣹⡱⢧⢏⢶⢫⣞⣵⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣤⣤⣤⣤⣤⣤⣤⣤⣴⣤⣶⣶⣶⠶⠶⠾⠿⠿⠿⠿⠾⠿⠿⠿⠿⠿⣿⣎⡗⢯⡜⣧⢻⡜⡧⡞⣬⢳⡝⣮⠽⣗⢧⡻⡼⣱⢎⡷⣙⢧ ⡧⣏⡳⡵⢫⣜⡳⡵⣚⣬⢳⢮⣝⡳⢎⡯⣝⡲⢏⡧⣝⣣⠟⣎⢷⣾⡟⠁⠀⠀⠀⢀⣴⠶⠶⠶⠾⠾⠟⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠋⠉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣀⣁⣀⣀⣠⣤⣤⣤⢤⡤⠤⠤⠤⠤⠴⠶⠶⠶⣶⣖⢲⡒⣖⢲⡄⣿⣗⡞⣣⢟⡜⣧⠯⣵⢛⡼⣣⣛⠶⣛⡿⢎⡵⣫⢵⢫⢶⡹⣎ ⡷⣩⢗⡽⣓⢮⢳⡭⢳⣜⣫⢖⡮⣝⡏⡶⣍⡳⣏⡼⢮⣱⢛⣾⣿⠏⠀⠀⠀⢀⣴⠟⢹⠀⢰⡖⠒⠒⠒⠒⠒⠒⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣇⠞⡤⢻⡇⢸⣿⡜⢧⣏⢾⣱⢻⣬⣛⡼⣱⢭⣛⣭⡿⣍⢾⣱⢫⡝⣶⡹⣜ ⡷⣙⢮⠞⣭⢞⣣⣝⠳⣎⢶⢫⡜⣮⢳⡝⣼⡱⢮⢵⢫⡼⣳⣿⠏⠀⠀⢀⣴⡟⠉⠀⢸⡄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣏⠖⡣⣿⠘⣿⣝⡳⣎⠷⣭⢖⡳⣼⢱⡏⣶⡹⣲⡿⣬⢳⢎⡷⡹⣖⠽⣜ ⡗⣯⣚⠽⣎⠾⣱⢎⡿⣸⢭⡳⣝⢮⣳⡹⢖⡽⢭⡞⣣⢷⣿⡟⠀⢀⣴⡟⠃⠀⠀⠀⢘⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡜⣡⢻⠀⣿⣧⣛⡼⣫⢎⣯⢓⣮⢓⡾⣡⢗⣳⣟⡖⡯⣞⣱⢻⣬⢛⡼ ⡟⢶⡩⣗⢮⣛⣥⣛⢶⡹⢶⣹⠺⡼⣥⢏⣯⢚⡧⡽⣱⣿⣿⢀⣴⣿⡋⠀⠀⠀⠀⠀⠈⡇⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣗⢢⢻⡇⢿⣗⢧⡳⣝⡞⣼⣋⢶⢫⢶⡹⢞⡼⣧⢏⡷⢎⣳⠳⣎⢯⡜ ⣯⠳⣝⡼⣲⢭⠶⣙⢮⣓⣏⢶⢫⡳⣭⢞⡲⣏⠾⡵⣻⣿⣷⣿⡟⣿⡇⠀⠀⠀⠀⠀⠀⣷⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣯⠲⡹⣇⢸⣿⣎⠷⣭⠞⡵⣎⢯⢞⣣⣝⡳⢺⣯⢞⡱⣏⢾⣙⢮⣓⢞ ⡞⡽⢎⡵⣣⢟⡺⡝⣮⠵⣎⡏⣷⢹⣎⡗⣣⢏⡯⣵⣿⣿⢟⡮⣝⢿⡇⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠖⠀⠀⠀⠀⣠⠟⣹⣏⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢣⡱⢿⠈⣿⡾⣙⢮⣝⡳⣝⠮⣝⢶⢪⡝⢯⣷⢫⢷⡹⢮⡹⢞⡬⣏ ⡯⣝⣫⢞⡵⢫⡵⣛⡖⣻⢬⡝⡶⣋⡶⣹⢣⡻⣜⣿⣿⣎⢯⡼⣹⢾⡇⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢋⠀⠀⠀⠀⢸⣶⠋⣼⡟⠻⣧⡸⠳⣄⡀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣑⣾⠟⠀⣿⣟⣝⡺⣜⡳⣭⢻⡜⣮⢳⣝⣫⣯⠳⣧⢛⣧⢛⡭⢶⢭ ⡷⣹⢲⢫⢞⢧⣛⠶⣹⢥⣏⠾⣱⢏⡾⣱⢫⡵⢎⣿⣿⣮⢳⡭⢧⣻⣿⠀⠀⠀⠀⠀⠀⢸⡀⠙⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡜⠁⠠⣀⣤⠞⢉⣼⠟⠀⠀⠉⠿⣦⡈⠙⢦⣀⠀⢈⠈⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠞⠁⢀⣴⣿⠿⣬⢳⡭⣳⡝⡶⣹⢎⡗⡮⢵⣿⣙⠶⣫⡜⣏⠾⣍⡞ ⡷⣭⢫⡝⣮⢳⡭⢏⡳⣞⣬⡛⡵⣎⠷⣭⢳⢭⣛⣼⣿⣧⢻⡜⣧⣳⣿⡶⠶⠾⠿⠿⠿⠿⢷⣤⡀⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣰⠞⠁⣰⣿⠏⠀⠀⠀⠀⠀⠈⠻⣧⣀⠉⠳⢦⣌⣀⠰⠋⠀⠀⠀⠀⠀⠀⣀⡴⠞⠁⣠⣴⣿⠿⣩⠷⣙⢶⡹⣵⠺⣕⢯⣚⣭⢳⢫⣾⢥⡻⢥⡻⡜⣏⢮⡝ ⡗⣧⠻⣜⣣⠷⣩⢏⡗⢾⡰⢏⡳⣭⣛⠶⣫⢞⡼⣜⣿⣧⢳⣽⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢦⣤⡀⠙⠳⢤⣄⣀⠀⠀⠀⠀⢀⣀⣤⠶⠛⢁⣠⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⣄⡈⠉⠛⠲⠶⠶⠴⠶⠞⠛⢉⣠⣴⣾⣿⢻⡜⣏⡳⢯⡝⣎⠷⣎⠿⣜⣣⢗⢮⣭⢳⣟⡎⣗⣫⢵⣛⡼⢣⡞ ⡟⣼⢛⡼⣥⢻⠵⣋⡞⣧⢻⣍⠷⡳⣜⡻⢴⣋⠶⡭⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣉⣛⢷⣦⣤⣀⡉⠉⠛⠛⠛⠉⠁⣀⣤⣶⠟⣋⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣙⣛⣷⣶⣤⣤⣤⣤⣤⣶⡾⠟⠋⢉⣿⣯⢧⢻⡼⡹⢶⡹⢎⡟⣼⣛⣬⢳⣎⠷⣊⢷⣻⡜⢧⡞⣣⢞⡵⣫⢞ ⡟⣼⣙⢾⣘⢧⣻⡱⢯⡜⣧⠞⣽⡱⢧⣫⢧⢫⣝⣣⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣽⣽⣹⡺⣼⣙⣟⡻⢿⡿⣿⢿⣿⣿⣻⣭⣏⡻⡜⡭⢯⡹⣭⢫⡝⣭⢏⣏⡏⣯⣹⣍⣯⣹⣍⢿⣰⣣⢏⣽⣩⣿⣙⣶⣩⢖⠈⣹⣿⣟⡎⣷⠳⣝⣣⠟⣭⠞⣵⢺⣬⢳⠮⣝⠽⣚⣷⢭⡳⢞⡵⣫⢞⡱⢮ ⡟⡶⣹⢎⡽⣪⢵⡹⣎⠷⣎⡟⢶⡹⣣⠗⣮⢳⣚⣬⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⡿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⠿⠿⠿⢿⣿⡿⣿⢿⣿⢿⢧⣛⠶⡻⣜⣥⢻⡜⣻⣜⡳⣎⠷⣛⡼⢫⣝⣿⠲⣭⢛⡶⡹⢮⣝⣣ ⣏⢷⢣⣛⢶⡹⣎⡳⣭⢞⡵⣫⢳⣍⢧⡻⡜⣧⢓⣎⢿⣿⠀⣠⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⣿⣿⠇⠉⠀⠀⡠⣰⣿⣿⣿⣿⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⣲⣷⡖⠈⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣷⡀⠀⠞⣿⣟⣬⢳⣎⢽⣚⡼⢫⡵⣓⢮⡳⢭⡳⣜⢧⡝⢾⡱⣝⣳⢺⣽⣋⢶⢫⡞⣝⣣⢞⡲ ⣏⡞⢧⡻⣬⢳⣭⢳⠞⣎⠷⣭⣓⠮⢧⡳⣝⠮⣝⣬⢻⣿⠰⣏⣰⣦⣿⣤⣷⣿⣭⢛⣷⢠⣿⣿⠀⠀⠀⢀⡿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⣹⠇⠀⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⠀⠀⣿⣯⢖⣫⡜⣮⢓⡞⣧⠳⣝⠮⣵⢫⡵⣎⢧⣛⢮⢵⡣⢧⡻⣷⠭⣞⣣⡝⣮⠵⣫⠵ ⣧⣛⢧⡝⢶⢫⡜⣧⢻⣜⣛⢦⣭⢛⡧⣝⠮⣝⠶⣎⢿⣿⠀⣷⢸⣿⣿⡧⣿⣿⣿⢨⣟⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣨⣶⠟⠁⡼⠃⠀⠀⠀⠀⠀⠛⢿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⢮⡱⣝⠶⣫⢞⡵⣛⡼⣛⣬⢳⣎⡽⢎⡳⣎⢧⡻⣕⣻⣽⢣⡗⢮⡝⣖⠯⡵⣫ ⡧⣏⠾⣜⣫⢇⡿⢬⣳⠺⣜⡳⢎⡽⡲⣝⡺⢭⡞⣜⣻⣿⡄⣿⡌⣿⣿⡗⣻⣟⡟⢰⡏⣾⣿⡟⠀⠀⠀⢠⣄⣀⢀⣀⣀⣀⣀⣤⣴⣶⣾⣿⣯⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣶⠿⠛⠻⣿⣿⣶⣶⣶⣤⣤⣴⣤⠦⠤⣀⣿⣿⠮⣵⢋⡾⣱⢏⡞⣥⢳⡭⢖⡳⣜⠾⣩⠷⣹⠮⣵⣋⢶⣯⢇⣯⢳⡹⢮⠽⣱⢧ ⡷⣭⠳⣝⢦⡻⡜⣧⢳⢻⡜⣭⡛⢶⡹⢶⣙⢧⢞⡵⢻⣿⡇⢸⡇⢻⣿⣯⣿⣿⡇⣻⠇⣿⣿⡇⠀⠀⢀⣾⠏⠉⠉⠉⢻⣿⣿⡉⠉⠀⠉⢻⡿⣿⣦⡀⠀⠀⠀⠀⠀⢣⣾⠋⠀⠀⢀⣾⣿⠉⠁⠉⠙⢿⡟⣿⢿⣧⡀⠀⢸⣿⣝⡲⢏⡞⣥⢻⣜⣣⠷⣩⢏⡳⣭⢻⡱⣏⢧⣛⢶⣙⢾⣽⡚⣦⢏⡗⣯⣹⢣⡞ ⡗⣧⢻⣜⣣⠷⣹⠖⣏⡳⢞⡱⡝⡧⢏⡳⢮⣝⡺⣜⢯⣿⣷⠀⣿⠘⣿⣿⣼⣿⡁⣿⠀⣿⣿⠁⠀⠀⣾⠇⠀⠀⠀⢰⣿⡛⠜⢿⣷⣶⣶⣾⣿⣯⢿⣧⠀⠀⠀⠀⡇⣾⠁⠀⠀⠀⢼⡯⠙⢿⣶⣤⣴⣾⣿⣧⢟⣿⣇⠀⢸⣿⣮⢳⣝⡺⣕⣫⠖⣧⠻⣥⢏⢷⡱⣏⠷⣎⡳⣭⠮⣝⢮⣷⡹⢖⣫⢞⡵⢎⣳⡹ ⡻⣜⡳⡼⢥⣻⣱⢻⡼⣩⢏⡷⣹⣍⢯⡝⣞⡴⣛⡬⣏⣿⣿⡀⢸⣇⢹⣭⣭⣍⢰⡟⢰⣿⣿⠀⠀⢀⢻⣆⠀⠀⠀⠘⣿⣇⠠⠘⠿⣿⣿⣿⠿⢿⣿⡟⠀⠀⠀⠀⢀⢿⡄⠀⠀⠀⢺⣧⠀⠈⠿⣿⣿⡿⠿⢋⣾⣿⡏⠀⠀⣿⣷⣋⢶⡹⡖⣭⢻⡜⣻⡜⣮⢳⡹⣜⡻⢼⡱⢧⡻⣜⣫⣾⡱⣏⢞⡞⣼⢋⡶⣹ ⣏⠷⣙⣞⣣⢗⢮⡳⢞⡱⢯⡜⡧⢞⣎⠾⣜⢞⣥⢻⠴⣻⣿⣧⠀⢿⡘⣿⣼⡟⣼⠇⢸⣽⣿⠀⠀⠈⠮⠿⠷⠶⠶⠶⠿⢿⣶⣤⣐⠀⣻⢷⣤⣾⡿⠁⠀⠀⠀⠀⠀⠊⢿⣦⡀⠀⠀⠹⣧⣴⣤⣶⡿⢿⡶⣼⣿⣟⠀⠀⢰⣿⡷⢭⢺⣕⡻⢬⡳⣭⣓⠾⣡⢏⡷⣩⡝⣧⢻⡱⣝⠶⣹⣷⢣⣛⠾⡜⣥⠻⣜⡵ ⡯⣝⡳⣼⡱⢮⡳⣝⣫⢝⡳⣺⢭⡳⢎⡟⣼⢺⣬⢛⣞⡹⣿⣿⡄⠈⣷⡸⠟⢣⡟⠀⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣾⠟⠉⠀⠀⢴⡴⠶⠶⢶⣶⠶⠏⠻⣶⡴⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣼⣿⠽⣙⢮⢞⡱⢯⡵⣲⠭⣏⣳⢫⡜⣧⢻⡜⣧⢻⡜⣫⢗⣯⢇⡯⣞⠽⣜⠻⣴⢹ ⢷⡹⡼⢥⣻⡱⢏⡾⣱⢎⡷⢣⠷⣭⣛⡼⢣⡗⣎⢯⡲⡝⡽⣻⣿⣆⠘⢷⣠⡿⠁⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠓⠀⠠⣤⡀⠀⢉⣴⠟⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⣿⣯⣛⡝⡮⢯⡝⣞⡴⣫⢳⡝⣲⢏⡼⣣⢟⡼⣱⢧⣛⣥⢻⣟⠮⡵⣎⢿⡸⣛⡴⣫ ⣏⡳⣝⣣⢧⣛⡽⣜⢧⡻⣜⡏⢷⠳⣜⣳⢫⡼⣹⢲⡝⣹⢞⡻⣿⣿⣷⣤⣀⠀⠀⠠⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣯⠀⢈⣾⠟⢿⣤⢈⠀⣢⣾⣧⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢢⣿⣟⢮⢵⢺⣙⠷⣚⣬⢳⣣⠟⡼⣓⢮⢳⡝⣮⢳⡝⣲⢭⡞⣭⣿⢚⡵⣫⠶⣹⢣⢗⣣ ⢧⡻⢬⡳⢎⡵⣺⢜⡧⣝⢶⡹⣫⡝⣞⡴⣫⡜⡧⣏⢾⡱⣎⢷⡹⣟⣿⣷⣝⣻⠻⢿⣻⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠼⠛⠁⠻⣷⡾⠏⠀⠈⠻⣷⠾⠛⠀⠈⠛⠛⠋⡛⠧⠀⠀⠀⠀⠀⠀⠀⠀⡴⣰⣿⣿⢎⢯⢞⣣⢏⣯⢓⣮⢳⡱⣏⢷⡹⣎⠷⣺⡱⢧⣋⠷⣎⠷⣭⣟⡎⢷⣭⣋⢧⣛⠮⡵ ⣏⠷⣫⢵⡫⢞⣥⢻⡜⣞⡎⣷⡱⢞⡵⣺⡱⡽⣱⢎⣧⢳⡹⣎⢷⣩⢏⡿⢿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠘⣿⣶⠞⠀⠀⠀⠀⠀⠀⠀⢀⡤⢶⠄⠀⠀⠀⠀⠀⣷⣶⠃⠀⠀⠀⠀⢀⠀⣣⣾⡿⣟⡼⢎⡯⢞⣜⡳⣎⠯⣖⢯⡱⣎⡗⣳⢎⡻⣥⣛⠧⣏⡳⣭⣛⡼⣿⡸⣓⠾⣌⠷⣎⢻⡜ ⣭⢻⣬⠳⣭⢏⡼⣣⢟⡼⣜⣣⢽⡹⡼⣱⠳⣭⢇⡻⣴⣋⢷⡹⣎⡵⢫⢞⣣⢮⡽⣿⢭⣻⢿⣿⣿⣿⣿⣿⣷⣦⣤⣀⡀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠀⠁⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⣄⣼⣾⡿⡟⡽⣎⢾⡹⣜⠯⣜⡳⣭⣛⠼⣎⡳⣵⡹⡵⣎⢷⣱⢫⡝⣮⢳⠵⣣⢻⣷⠳⣍⢿⡸⢧⣋⠷⣜ ⡗⣏⠶⣛⢦⡻⣜⢧⡻⣜⠶⡭⢶⡹⠶⣍⣟⡲⣭⠳⡵⣎⡗⣳⠮⣵⢫⢞⡱⢧⢾⣿⡳⢮⢭⡛⡿⢿⣿⣿⣿⣿⠉⠉⠛⠻⠷⣶⣶⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣶⣶⣾⣿⣿⠿⣏⢷⡹⡵⣹⠶⣙⢮⡝⣎⢷⣓⢮⡛⢶⡹⡖⣽⠲⣝⠮⣞⣣⢟⣲⢫⣝⣣⠿⣽⢣⡏⣞⡵⣋⢾⡹⣜ ⡽⢎⡯⣝⣲⠳⣭⢶⡹⢮⡝⡞⡵⣫⡝⣞⡴⣛⡴⣫⢗⡮⢽⣱⠻⣴⢫⢞⡹⣭⢾⣿⣝⣣⢏⡷⢭⡳⣭⢛⡿⢿⡿⣿⣷⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣏⡳⣝⠮⣇⡻⣜⢧⣛⡭⢶⡹⢎⡷⣭⠶⣹⢣⢟⡼⢣⡟⣼⣋⢶⡹⣎⢧⢏⡶⣣⢟⣯⣓⡞⣱⢞⡭⢶⡹⣜ ⣏⡟⣴⢫⣖⢻⡜⣶⢹⣓⡞⣭⣓⢧⡝⡞⣼⢣⣳⢣⣏⢞⡧⣳⢛⡖⡯⢞⡵⣣⢿⣿⢲⢭⢞⡼⣣⠷⣍⡻⣜⠧⣝⢮⢳⡝⣫⢟⣿⣿⡟⠛⠛⠛⠛⠛⠛⠻⣿⣿⡿⢿⢿⡻⢟⣫⡝⣮⢳⣿⡜⣧⡝⢮⡝⢮⣕⣫⢎⡧⣝⠧⣏⡻⣜⢶⣋⢷⡹⢮⣙⢧⡝⢶⣙⢮⡳⣝⢮⣋⢶⡹⢾⣽⠲⣭⣓⢯⣚⢧⡝⣮ ⡗⢾⡱⢯⡜⣧⢻⢬⡳⣭⢞⡲⡭⣞⡼⣹⢖⣫⠖⣯⡜⣧⣛⢶⣋⠾⣍⡻⣼⠱⣾⣿⡹⢎⡾⣱⢏⡾⣱⣛⣬⢻⠼⣙⠾⣜⣣⢟⣲⣿⣷⣶⢶⣴⣦⣶⣤⣤⣿⣿⡜⣏⢶⡹⢫⢶⡹⡖⣯⣿⡝⣦⡛⣧⢞⡳⣎⢶⣋⠾⣥⢻⡜⣵⢫⡞⣭⠶⣹⢣⣏⠾⣜⢧⣫⠞⣵⢫⡞⣭⠞⣭⢻⣾⣙⠶⣩⢶⡹⢮⡝⡶ ⡝⣧⠻⣥⣛⠶⣫⢞⡵⣚⢮⣓⢗⡺⡼⣱⢎⣧⢛⣦⢛⡶⢭⠶⣭⠻⣜⡳⡵⣛⡼⣿⡱⢏⡞⣵⢫⡖⣧⢏⡶⢫⡝⣭⠞⣵⢺⣼⣿⣿⣅⠀⠀⠀⠀⣧⠀⠀⢸⣿⣿⣮⣧⣝⢯⡞⣵⠻⣼⣿⡻⢴⣛⡴⣫⠵⣎⡗⢮⡻⣜⢧⣛⣬⢳⡝⡖⣏⢧⣛⣬⢻⣜⣣⢧⡻⣜⢧⡝⢶⠻⣜⣻⢾⡜⣭⢳⡝⣺⢥⡻⣜ ⡝⣮⢻⢴⣫⣝⣣⢏⡞⣭⢞⡭⣞⡵⢫⡵⢫⡜⣏⢶⢫⡞⣭⢳⣣⢟⡼⣱⣛⡬⣽⣿⡱⢏⡾⣡⢟⡼⣒⢯⠞⣧⣛⡬⡟⣬⣿⠟⠁⠀⠉⠻⣦⡀⢰⡿⡆⠀⣰⣿⣧⠀⠈⠛⢷⣟⡜⡯⣖⣿⣏⢷⣪⢵⣋⠷⣍⡞⢧⡻⣜⡞⡼⣒⢯⡞⣝⢮⣓⠾⣌⢷⣚⣬⢳⣝⣚⢮⣝⣫⡝⣮⢽⣻⡜⢧⣫⢞⣥⢳⣣⡝ ⢿⡶⣯⢾⡶⣾⡵⢾⡛⣮⢏⣾⢶⣭⡷⣼⣕⣪⠝⣎⢳⡝⡮⣇⣏⠾⣱⠧⣝⡲⣽⣾⠱⣏⢾⡱⣏⢾⣙⢮⣛⠶⣱⢣⣽⣾⡏⠀⠀⠀⠀⠀⠈⢻⣾⠁⢿⣰⡏⠘⣿⡄⠀⠀⠀⠉⠻⣧⣻⣾⡯⢶⣙⢦⠯⣝⡺⣜⢧⣛⠶⣭⠳⣝⡲⣝⡎⣗⢮⣛⡼⢣⡞⣼⢣⡞⡼⣣⢞⠶⣹⠖⣯⢷⣹⠳⣜⠾⣬⢳⢲⡹ ⣿⡼⣧⡷⣽⢶⣟⣷⣻⣽⣻⣞⡻⣞⣿⢿⣽⣻⢾⣬⠳⣜⢣⠗⣮⢏⢧⡻⢼⡱⢧⣿⡹⣜⣣⡝⣮⢧⢫⡞⣵⢫⡳⢭⢾⢿⣇⠀⠀⠀⠀⠀⠀⠀⠙⣦⣸⡟⠀⠀⢻⣷⠀⠀⠀⠀⠀⠈⠻⣿⣝⠮⣝⢮⣛⡼⣱⢫⡞⣼⣹⢲⣛⡼⣱⢏⡾⣜⡳⢮⢵⣫⢞⡵⣋⢾⡱⣏⢾⣙⢧⡻⣼⣻⣜⡻⣬⢳⡝⣎⠷⣹ ⣯⣟⣷⣻⣽⣻⢾⣷⣻⣞⡷⣯⣇⠹⣯⣟⣾⣽⢯⣿⣽⢎⣧⢛⡴⢫⢮⣝⣣⢏⡯⣷⢣⡳⢧⡝⢶⣫⢳⡝⣮⠳⣭⠧⡟⢯⢿⣦⣀⠀⠀⠀⠀⠀⢀⣸⢿⣄⣀⣀⣈⣿⡆⠀⠀⠀⠀⢀⡴⠋⠻⣿⣎⢷⣩⠞⣵⢫⡜⡧⢞⡱⣭⠞⣥⣛⢶⡹⡼⡹⣖⣣⢏⡞⣝⢮⣓⢮⡳⢎⡷⣙⢾⣳⢎⡷⣭⠳⡞⣭⠞⡵ ⡿⣞⡷⣯⢷⣯⢿⣽⣳⣋⠿⣿⢶⡉⣿⣽⣻⣞⡿⣾⣽⣻⢬⡳⣎⢧⡓⣞⡜⢮⣳⢯⡳⢭⡳⣭⢳⡹⣎⡞⣵⡛⣦⣛⢭⡳⣚⣿⡿⣶⣄⠀⢀⡴⠋⠁⠀⠹⣿⣻⣽⣿⣿⣶⣤⡀⢀⡞⠁⠀⠀⠈⠛⣷⣭⣛⡼⢣⢯⡝⣫⢳⢭⡞⡵⣫⢞⡵⡹⡵⣣⢏⣞⡹⣎⡗⣮⢳⡝⣫⢼⣙⢾⡽⣎⠷⣎⢟⡹⣬⢻⡱ ⠛⡹⢙⠩⢛⡘⢋⠚⡙⢋⠖⣈⠛⡰⢉⠚⡙⢊⢛⡙⣘⡉⢏⡑⢋⠦⡙⢌⡙⢣⠉⢏⠓⣉⢓⡉⢃⠓⣩⠘⡅⢛⡰⢉⠎⡱⢹⣿⠛⠓⠛⠳⣞⡀⠀⠀⠀⠀⠘⢿⡍⠙⣿⣇⠋⠟⢿⣧⣀⠀⠀⠀⠀⠀⠙⢿⣮⡙⢊⡙⣡⢋⠚⣘⠱⡉⢎⡱⢉⠓⣉⠚⡌⢓⠱⢊⠕⡋⠜⡡⢋⠜⣉⠛⡌⠛⡌⢋⡱⢉⠣⡙ ⠀⠄⣁⠂⠡⠐⠂⠐⡐⢀⠂⠠⢀⠐⠀⢂⠐⠠⠀⠄⠀⡀⠂⠀⠄⠐⠀⡀⢀⠂⠈⠀⠂⠀⠂⢀⠀⠂⢀⠐⠀⢂⠀⠄⡈⠠⣹⣿⠀⣀⣀⣀⣈⠻⣦⡀⠀⠀⠀⣈⣿⣦⣽⣿⡀⢈⠠⠈⠙⠳⣦⣄⠀⠀⣠⡞⢙⣿⣦⡀⢀⠈⠂⠄⠂⠐⡀⠄⡀⠂⠄⠐⡀⠄⠂⠠⡀⢐⠀⡐⢀⠂⡀⢀⠀⠄⠠⢀⠀⡀⠀⠄ ⠐⠈⠄⡈⠄⢁⠊⠄⡐⠠⠀⠁⡀⠠⠈⠀⡀⠂⠐⠀⠂⠀⠄⢁⠀⢂⠐⢀⠠⠀⠌⠠⠈⡐⠀⡀⠂⠐⠠⠀⠡⢀⠂⠐⠀⡀⣿⣿⡩⣏⣭⣱⣩⣖⡹⣻⣶⣤⠞⢋⡴⢛⣿⣿⣇⠀⢀⡀⢂⠐⠀⢉⣿⡾⠋⣠⠟⣠⡟⠻⣦⡈⠐⠈⢀⠡⠀⠂⠐⠈⠀⠡⠀⠂⡁⠄⠀⠄⠠⠀⠄⠠⠀⠠⢀⠈⠠⠀⠀⠄⠁⠀ ⠀⠌⢂⠐⡈⡀⠒⠀⡐⠀⠂⠁⡀⠐⠀⡁⠀⡐⠈⠀⠂⠁⡀⠂⠈⠀⡀⠂⢀⠐⠠⠐⠀⡀⠂⠀⡁⢈⠠⠁⠂⠄⢈⠀⢁⢰⣿⠋⠛⠉⠉⠉⠉⠉⣥⠞⠋⢠⡴⢋⣵⠟⠉⠻⣿⡄⠀⠈⡀⠐⢨⣿⠉⢀⡼⠃⣴⣯⡀⠀⠈⠻⣧⣬⣤⣤⣴⣤⣴⣤⣌⣀⡀⠐⢀⠂⠈⠐⢀⠂⠠⢁⠂⡁⠂⢈⠀⠁⠌⠀⠊⠀ ⠀⠐⠂⡐⠠⠀⠅⠐⡈⢀⠂⢁⠀⡈⠀⠄⠐⡀⠠⠁⢈⠀⠄⢀⠡⠀⠄⠐⠠⠀⢂⠀⡁⠀⠄⠁⠄⠠⠀⠌⠀⠌⠀⡀⠂⣼⣿⠀⠀⠀⠀⠀⠀⠀⠘⢷⣞⣁⡴⠛⠻⣤⡀⠀⠙⢷⣦⣤⣴⣤⣶⣯⢿⣯⣤⣾⠋⢈⠻⠷⣦⣀⠀⡉⠁⠉⠉⠋⢿⠉⠙⣿⢿⣧⠀⠌⠐⠁⢂⠈⡀⠆⠠⢀⠐⠠⠈⠀⠄⠡⠀⠁ ⠀⢈⠒⡀⠡⢈⠂⡐⢀⠂⠄⠂⢀⠐⠀⠂⠐⠀⠄⠂⡀⠐⠀⠂⠐⠀⠂⢈⠐⠀⠂⢀⠐⠈⠐⠀⠂⡁⢈⠐⠈⡀⠂⠀⠄⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠋⠀⠀⠀⠈⠻⢦⡀⠈⠉⠉⠉⢧⡀⠰⣄⠙⢿⡅⢀⠂⠠⠀⢌⣿⠟⠁⣴⣾⣷⠀⢸⠀⠀⣿⠀⣿⣴⣤⣶⣼⣶⡆⠀⠒⠀⠂⠄⠂⡁⠈⡀⠂⠌⠀ ⠀⠂⠔⠠⢁⠂⠔⠀⢂⡈⠀⠌⢀⠈⡀⠡⠈⡐⢀⠁⠠⠁⡈⠄⠡⠈⠐⡀⢈⠀⠡⢀⠈⡀⠡⠈⠄⡐⠠⠈⠄⡀⠂⠁⣸⣿⠗⠒⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣟⣛⣿⣦⣼⣦⠀⠈⢷⠀⢸⡆⠘⣿⣶⣿⣿⣿⣿⡿⣿⢿⡿⣿⣿⠀⢸⠀⠀⡿⠀⣿⡯⢯⣝⣹⣿⡇⠀⢡⠈⢀⠂⢁⠠⠁⢀⠁⡈⠀ ⠀⠌⢂⠁⢂⢈⡐⠈⠄⠐⡀⠂⠠⠐⠀⠂⠐⢀⠀⠂⠁⠄⢀⠂⠐⠠⠁⠠⠀⠌⠠⠀⡐⠀⠐⢀⠂⠄⢂⠁⠂⠄⠐⠠⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢸⣿⠛⠿⣿⢻⣿⡇⡀⣸⣆⣀⣷⣀⣿⣟⢶⡹⣞⢶⡹⣎⢷⡹⢾⣿⣶⣿⣶⣶⣷⢿⢿⣹⢳⢮⣽⣿⡅⠀⢂⠀⠄⠀⠂⠐⠀⠂⡀⠄⠂ ⠀⠨⠄⠨⢀⠂⡐⠈⣈⠐⠀⡁⠐⢈⠀⡁⢈⠀⠂⡁⢈⠀⢂⠈⠐⡀⢁⠐⠈⡀⢁⠠⠀⠌⢀⠂⠄⠂⠠⢈⠀⠊⠀⠄⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⠀⠈⣿⣆⣰⣯⣷⣿⣿⣟⣿⣟⣿⣻⣯⣿⣽⣾⡵⣫⢞⣷⣿⣾⣿⣷⢾⡷⢿⠷⠿⠿⠿⠿⠿⠿⠟⠟⠻⠁⠀⠂⠈⠀⡁⢈⠈⡀⢁⠠⠀⠂ ⠀⠒⡈⢁⠂⢄⠡⠐⠠⠐⠠⠀⠌⠀⠄⠠⢀⠂⠡⠀⠄⢈⠠⠐⠠⠀⠂⡀⢁⠠⠀⠄⠂⠠⢀⠀⠂⠌⠐⡀⠌⠠⢁⠸⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡄⠀⠛⠛⠛⠛⣻⣿⠏⠛⠉⡉⠉⡉⠉⠉⠉⣿⣿⢥⣏⣿⣧⠀⠠⡀⠄⠠⡀⢄⠂⠤⠀⠤⠠⢀⠰⠀⠤⠐⠀⡁⠠⠁⠄⠠⠐⠀⠠⠀⠂⠁ ⠀⠢⠁⠄⠌⡀⠆⡁⡘⠠⠁⠌⠠⢁⡈⠐⡀⠌⢀⠡⢈⠠⢀⠁⢂⠁⠂⠌⡀⠄⠡⢈⠠⠁⠠⢈⠐⡈⢐⠠⢈⠐⠠⠀⡀⠙⠿⣷⣤⡀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣧⠀⠀⠀⣠⣾⡿⠋⠀⡐⠂⠤⠁⢂⠡⠁⠂⢸⣿⣗⠾⡼⣿⣆⠁⠐⡈⢀⠐⠀⠊⠠⠁⠂⢁⠂⠄⠂⠄⠐⠠⢀⠐⢈⠀⡁⢈⠄⡁⠌⠠⠁ ⢀⡂⠱⢈⡐⠠⠡⠐⠠⠁⠌⠠⠁⠄⠠⠁⡀⠂⠄⠂⠄⡀⠂⠌⢀⠂⠡⠐⠠⠈⠄⠠⠐⢈⠐⠀⢂⠐⠠⠂⠄⡈⠄⠡⢀⠐⠀⣿⣿⣿⣷⣄⡀⠀⠀⢠⣿⣿⣿⣿⣿⠀⢀⣴⡿⠉⠀⡠⠁⠄⡁⠂⡁⠂⢂⠁⠌⠀⣿⣯⡻⢵⣻⣿⠀⠠⢐⡀⠂⠌⠐⡀⠂⠁⠄⡀⠂⠌⠠⠈⠐⡀⠌⠠⠐⢀⠂⠄⠐⠈⠄⠁ ⠉⠡⢁⠄⠰⢀⡑⢈⠐⡁⠂⡁⢐⠈⡀⠡⠐⢈⠠⢁⠂⠠⢁⠂⠄⠂⡁⠄⡁⠂⠌⠐⡈⡀⠌⠐⡀⠌⡐⠈⠄⡐⢈⠐⠠⠈⠐⣿⣿⣿⣿⣿⣿⣦⣤⣿⣿⣿⣿⡿⣿⣷⣿⣿⣿⡀⠁⢄⠁⡂⠄⢡⠀⠅⠂⠌⠀⢂⢸⣿⣝⢧⡻⣿⣇⠐⢂⠀⠅⠂⡁⠄⢈⠐⡀⠐⡀⠂⠄⢁⠂⠄⡈⠐⡀⢂⠈⠠⠑⠈⡀⠂ ⠂⡱⠂⢎⠲⠡⠆⠤⠘⠀⡁⠄⠂⡐⠠⠁⠌⢀⠂⠄⡈⠐⠠⢈⠠⠁⡐⠠⢀⠡⠈⡐⢀⠐⠠⠁⠠⠐⠀⠡⠐⢀⠂⠌⠠⡁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⠈⠄⡐⠈⡀⠂⠌⠐⡈⠐⠀⡀⣿⣿⣎⡗⣿⣿⡀⠀⠌⢀⠂⠠⠐⠀⠄⠠⠁⠠⠈⠄⠂⡀⠂⠄⢁⠀⢂⠈⠐⢈⠠⠀⡁
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⢀⣀⣀⣠⣄⣤⣤⣴⠶⠤⣄⣠⠤⢤⣤⣀⠀⢀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀ ⠸⣿⣿⣿⠿⠯⣭⣭⣦⣴⠿⠿⢲⣾⣛⣛⣲⡾⠶⠤⢦⣭⣭⣤⣄⣄⣐⣰⡆ ⠀⣿⠏⠀⠀⠀⠀⠙⢿⣿⢰⣶⣦⣤⡀⠀⠈⢉⣉⣉⠉⠛⠚⣾⣿⣿⣿⣻⡃ ⠀⣿⠀⠀⢠⣄⡀⠀⣈⣿⢸⣿⣿⣿⣿⡄⠀⢸⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⠇ ⠀⣿⠀⠀⢿⣿⣷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣆⢸⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⠀ ⠀⢸⣇⠀⠈⠛⠛⠻⣿⣿⣛⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡿⢠⣿⣿⣿⢿⣿⠀ ⠀⠸⢿⣧⡀⠀⠀⠀⢈⣿⠅⣿⣿⣿⠹⣿⣿⣿⣿⣿⣿⡯⢸⣿⣿⣿⣿⡏⠀ ⠀⠀⠶⣦⣭⢑⠒⠶⢿⣿⠂⣿⣿⣿⠀⠘⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⡿⠃⠀ ⠀⠀⠀⠀⠈⠐⠛⠪⢶⡆⢉⣐⡠⠍⢀⠀⠘⢿⣿⣿⣿⡇⢸⣿⠿⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠘⠏⣷⢲⢬⣀⠀⠬⠉⠛⠻⠇⣼⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠙⠫⢷⣶⢤⡁⠐⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⡤⠤⠤⢤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⢸⡀⢀⣀⣈⣧⠀⠀⠀⠀⠀⠈⠉⠉⢻⡇⠀⠀⠀⠘⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡴⠋⠉⠙⢶⡀⠀⠀⣀⣤⠶⠚⠉⠉⠁⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠈⠉⠉⠛⠲⠦⣤⣄⢨⡿⠋⠁⠉⠻⣇⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠈⣷⠶⠛⠁⠀⠀⢀⣠⠤⠒⠚⠋⠉⠁⠀⠀⠀⠀⠀⠉⠉⠛⠒⠤⢤⣀⠀⠈⠙⠷⠄⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠁⠀⠀⠀⣠⠞⠉⢀⣠⡤⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⡀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⢢⣾⡇⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⢸⣾⠟⠛⠲⢄⣀⢀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠈⠳⣄⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠈⠻⣄⠀⠀⠀⠙⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠈⠙⠢⡈⢧⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⢀⣈⣷⣒⠒⠚⠉⠀⠀⠀⠀⣠⢴⡖⠒⡖⠲⣤⣄⢀⣾⡿⠷⣄⡀⠀⠀⠹⡌⢧⠀⠀⠈⣟⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡞⠀⠀⠀⠀⢀⡞⠉⠀⠀⠈⠙⠳⣄⠀⠀⢀⣾⣧⣼⣧⣼⣄⣰⣁⡽⢾⡹⣄⠀⠀⠉⠳⣶⣾⠓⠈⢇⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡇⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⢸⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⠓⠦⠤⠤⠞⠁⠀⠀⠸⡀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠙⢦⣀⣀⠀⢀⣠⠟⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡞⠋⠉⠉⠛⢦⡄⠀⠀⡇⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⣷⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⢿⠛⠉⠉⠛⠻⣿⣿⣿⣿⣿⡏⠀⣇⠀⠀⠀⠀⠀⣹⠀⠀⢷⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⣀⣤⠶⠚⠉⠁⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠈⠹⣿⣿⡟⠁⠀⠈⠻⠦⠤⡤⠾⠋⠀⠀⡾⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠁⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠤⣀⣠⠤⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠈⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠈⣿⣃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠙⢷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⢳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⢻⠀⠀⠈⢳⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠛⠉⠀⠀⢸⠀⠀⠀⠈⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⢶⠶⠶⠶⡶⠶⠶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡞⢯⡑⢎⡙⢦⡙⡜⡱⢌⡍⠳⣄⠣⢭⡙⡗⣦⣄⠀⠀⠀⠀⢀⣠⡴⢞⡫⢍⠳⣌⠲⣐⠲⡌⡜⡱⢿⣭⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⣷⡿⢢⡙⢦⡙⠦⡱⢌⡱⢊⡜⡱⢌⡓⢦⠱⣘⢤⣻⣷⣤⣀⡴⢏⠳⡘⢦⡑⢎⡱⢌⠳⣌⠳⡘⠴⣉⠖⡰⣌⢹⡳⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⢋⠴⢣⠜⣢⠙⢦⡑⢎⡱⢣⢜⣱⣮⣼⠦⣽⣶⠟⠁⣀⣠⡿⣉⢎⡱⣉⠦⡙⢦⡑⢎⡱⢌⢣⡙⡜⢤⢋⡴⢌⡹⢯⠙⠻⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢥⢋⡜⡡⠞⡤⢋⠦⡙⢦⡵⠟⠉⠁⠀⠀⠀⢀⣿⢞⠻⡹⢭⠱⡌⢦⠱⣌⢲⣉⠦⡙⢦⡑⢎⡱⡘⡜⢢⠣⡜⢢⣑⢫⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠩⢆⡣⢜⡡⢋⡔⣋⠖⣹⡟⠁⠀⠀⠀⠀⠀⣰⠟⡌⢎⡱⡑⢎⡱⢜⢢⠓⣼⣦⣼⣶⣉⡦⡙⢦⠱⡱⡘⢥⠓⣌⠧⡘⢆⠾⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⡕⢪⠔⡣⢜⣡⠚⡤⢋⡟⠀⠀⠀⠀⠀⠀⢰⢏⡚⣌⢣⠒⣍⢆⠳⣌⣶⣭⣽⡆⠀⠀⠈⢙⠻⢦⣳⢡⡙⢦⡙⢤⢣⡙⢬⠒⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠳⣌⢣⢚⡱⢊⠴⣉⠖⣹⠃⠀⠀⠀⠀⠀⠀⣾⡧⣘⠤⢣⡙⡔⣊⢳⢸⡇⠉⠛⠟⠀⠀⠀⢸⣁⣸⣝⣷⡜⣢⠙⣆⠣⡜⢪⡑⢾⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠓⡌⣆⢣⠜⣡⠓⡼⢨⣿⠀⠀⠀⠀⠀⠀⠀⣿⠱⡌⢎⡱⡘⡴⡑⢎⣼⡇⠀⠀⠀⠀⢠⠞⠉⠀⠀⠀⠀⠻⣦⠹⣄⠳⡘⢥⢊⡽⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡷⣉⠖⡌⣆⠫⡔⣩⠒⡥⣿⠀⠀⠀⠀⠀⠀⠀⢹⡧⡘⢥⠒⣍⠲⣉⠖⣼⠁⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠹⣷⡌⢣⡙⢆⢣⢒⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠧⡑⢎⡱⢌⠳⣘⠤⣋⠴⣿⠀⠀⠀⠀⠀⠀⠀⠈⢷⣍⠲⣉⢆⠳⣌⠳⢼⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠐⠛⠀⠘⣿⢢⡙⣌⢣⠎⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⢣⠙⡤⢡⠌⣣⢈⠠⣁⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣤⠙⡌⢣⣈⠃⣿⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⢈⣿⢠⡈⣄⠙⣸⡀⠀ ⠀⠀⠀⠀⠀⠀⣸⢇⢣⡙⡔⢣⢚⠤⣋⠖⣡⠞⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡾⣿⠻⣿⣼⣇⠀⠀⠀⠀⠀⠀⠉⠓⠒⠒⠒⠒⠒⢺⠉⠹⣷⣼⣠⢓⡭⢧⡀ ⠀⠀⠀⠀⠀⣰⡏⢎⠦⡑⢎⡱⢊⠖⣡⠞⡤⢋⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⢹⢧⡄⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⡀⠈⡇⠀⢷⠈⠉⠛⠛⠛⠃ ⠀⠀⢀⣠⡾⢓⡜⢬⠒⣍⠎⣔⠫⡜⢢⠓⣌⣳⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⢬⣬⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣀⣄⣀⠉⢉⣁⡀⢸⡆⠀⠀⠀⠀⠀ ⢶⣞⣏⠳⣌⠣⡜⢢⡹⢄⡫⢔⠣⡜⣡⢋⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣏⣉⣀⣀⣉⣛⣉⣩⡭⠟⠁⠀⠀⠀⠀⠀ ⠀⠈⠙⠓⠾⠷⠾⢷⣾⣾⣛⣌⣳⣸⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣉⡉⠉⣉⡭⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⡴⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠉⠉⠀⠹⣆⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⣷⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠘⣧⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡘⣇⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢹⡄⠀⠀⠀⠈⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠠⠘⣧⡀⠀⠀⠀⢶⠀⠀⢸⠧⠈⠽⣄⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⢸⢠⠁⠄⠛⠶⠤⣤⣬⣧⡤⠟⢀⠡⠈⠽⡆⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⠂⠐⡈⠐⡀⠒⠠⠐⠠⠐⡀⠂⠄⣁⠂⢽⡀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠁⠠⠁⠄⠡⢀⠁⢂⠁⢂⠁⠄⡁⢂⠠⠐⢸⡇⠀⠀⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠅⡈⠄⠡⢈⠐⠠⠈⠄⡈⠄⡈⠄⡐⢀⠂⠌⣸⠇⠀⠀⢸⡄⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠛⠛⠛⠛⠛⢻⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⢀⡼⣛⣦⠀⣠⣽⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠸⣍⢋⣹⠀⠻⣍⣹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢻⠋⠀⠀⡀⠉⠀⣀⣀⣸⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢣⠏⠀⠀⠀⠉⠒⠦⠤⠭⣼⠆⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡶⠟⠋⠉⠹⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠹⡜⢦⡀⠀⠀⠀⣀⣀⠀⠀⠀⣀⣄⣀⣀⡼⠈⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⢀⡿⠃⠀⠀⠀⠀⠀⠀⠀⠘⠦⡙⠲⢄⡀⠀⠈⠉⠉⠉⢉⡟⡏⠁⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⣈⡉⠒⢲⠶⠶⠻⡶⠁⠀⠸⡄⠀⣿⡇⠀⠀⠀⠀⠀ ⢸⣧⠄⠀⠐⠒⠶⠤⣄⡀⠀⠀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢤⣿⣷⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠲⢤⡉⠳⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⢰⠃⢰⣿⣇⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠉⠺⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⣠⠋⠀⠈⠻⣷⡀⠀⠀⠀⠀ ⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠁⠀⢠⠎⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀ ⠈⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣤⣀⡀⠀⠀⠀⠈⢿⣦⠀⠀ ⠀⠀⠀⠈⣽⣷⣶⣤⣤⣿⣦⠀⠀⠀⣄⢧⠀⣀⣤⣴⣶⣶⣶⣿⣼⣿⣿⣇⢰⣄⠀⠀⣾⡛⡇⠀ ⠀⠀⠀⠀⣻⣿⣿⠟⠹⣿⣿⣇⠈⣇⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣶⣏⡵⠃⠀ ⠀⠀⠀⢰⣿⣿⡟⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣇⠀⠰⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⡉⢀⡔⣿⣿⣯⣿⢸⢻⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀ ⠀⠀⢠⣾⣿⣿⣧⢤⡼⠽⠛⠂⣻⣼⢻⣿⣿⣻⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣒⡀⠀⠀ ⠀⠀⠀⠀⣿⣿⣷⠀⠀⢸⣾⢺⣿⡇⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀ ⠀⠀⠀⠀⢿⣿⣿⣷⡀⢀⣭⣿⣟⣿⣿⡽⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡅⣠⣾⣿⡿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠯⠟⠁⠼⠷⣿⣿⣿⣷⣟⣿⣶⣾⡿⢿⡿⣿⣿⣿⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣟⣿⣿⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⠃⣠⣴⣶⠿⠿⢛⣯⣉⡙⣛⠋⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⣀⣠⣴⣾⡿⣿⡿⢿⠿⢻⣽⠿⠛⠋⠘⠁⡁⢙⢶⡽⢧⠼⢟⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣉⣥⡾⢿⠛⢄⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠟⠻⠋⠀⠀⠐⠬⠆⠤⠠⠄⠀⠀⠀⠀⠀⠀⠠⠔⠶⢰⣴⣦⣠⣾⡿⠿⢿⣿⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⣿⣿⣿⣳⡴⢆⣦⠀⣡⣤⣤⣤⣤⣤⣤⣀⣀⣧⣴⣤⣤⣤⣤⣴⣶⠾⠟⠛⠋⠁⠀⠀⠀⠻⣍⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣒⠀⠀⠀⠀⢀⣰⣾⠿⠿⠿⠿⣶⣿⠟⠈⠉⢁⣈⣶⣶⠿⠟⠉⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣷⣀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣬⠟⠛⠁⠛⠁⠀⠀⢀⣼⣿⣿⣷⣶⡿⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⢿⣿⣿⣿⡆⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠳⢶⣥⣀⣠⡴⣲⠟⠉⠀⠀⠀⣀⣀⣠⣄⣀⣠⣀⣤⣤⣀⣀⡀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣶⣦⣤⣤⣶⣾⠿⠯⠱⢢⣄⠚⣻⣿⣷⡀⠀⠀⣰⣾⣷⡄⠀⠀⠀⠀⠀⠀ ⡇⢀⠀⠀⠀⢠⣶⣴⡿⠁⠀⢀⣤⣾⣿⣿⣿⣭⡉⢉⣿⣟⣛⡉⢙⣿⣿⢷⣦⣴⡾⣿⠛⢩⣤⢀⡀⢀⠉⠉⠉⠉⢀⡀⠉⠀⣸⣿⣿⣿⣿⣿⡇⠀⠀⢻⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⡁⢸⣦⠀⢰⣶⡿⠿⣷⢀⣴⡿⠟⣁⠀⡤⠀⠈⠉⣿⣿⣿⣿⠂⣸⡟⠠⠠⡏⣭⣠⡄⠋⠟⠉⠀⠀⠈⠀⠀⢸⡆⠈⠁⠀⠆⠻⣿⣿⡎⠻⣿⡇⠀⠀⣾⣿⣿⣏⠀⠀⠀⠀⠀⠀ ⠿⠸⠿⣷⢾⡿⠦⢀⣸⣿⢿⣻⡿⠏⢰⠆⡀⢠⡄⢿⣿⡹⣿⣿⣿⣷⣦⣄⣀⠛⢿⣁⣂⣀⢀⣇⣤⣬⣧⣤⣸⣧⣤⠀⠀⠀⠀⢻⣿⣿⠀⠘⠃⠀⣾⣿⣿⣿⣽⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠙⢾⣝⣓⡀⠈⢿⣿⢿⣿⣷⠠⠀⡅⠘⠁⠸⣿⡇⠘⣿⣿⣿⡟⠻⣷⣶⣄⣁⠓⠉⠈⠙⢻⣿⡟⠿⣿⣾⣿⡄⣂⣤⡀⣸⡍⣿⡄⠀⢴⣾⣿⠉⣹⠋⣿⣿⡃⠀⠀⠀⠀ ⠆⠀⠀⠀⢸⡷⠦⠤⢄⣼⣿⣷⠀⠛⢸⣧⣿⠰⠄⣰⣿⡇⠀⠈⠻⣿⣷⡀⠀⠈⠙⠛⠿⢷⣾⣷⣿⣿⣧⠀⣠⣽⣿⡷⣾⣿⣏⡉⢡⣿⣧⡼⣿⣿⣵⣾⡇⠀⠸⠯⣽⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠐⢚⣙⣿⣷⣦⣬⣥⣥⣴⣴⣿⡿⠁⠀⣄⣤⣼⣻⣿⡄⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣶⢿⡿⠛⠛⠒⠿⣿⣿⣿⣿⡥⣶⣿⠿⣿⣿⣷⣧⡄⠀⢁⠀⠀⠀⠀ ⡇⠀⠀⢲⣄⠀⣀⠀⠀⠈⣿⠉⣀⣀⠉⢹⣿⣿⣿⣿⡅⣠⠾⠟⠋⣙⣻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢀⡽⣿⢏⡴⠛⢲⣆⡼⠋⢹⣿⡿⠋⠉⣠⡾⠋⢸⣿⣿⠻⣦⡀⡀⢀⠀⠀ ⣿⠀⠀⠀⣹⣷⣼⠂⠀⠘⣿⠁⠀⠈⠙⠓⣿⣿⣿⠘⡇⠀⠀⣤⠞⠋⢉⣭⣟⡯⣟⡲⠤⠖⠀⠀⠀⠈⢸⣇⣾⣥⡶⠟⠋⠀⠀⢸⡇⠀⣀⣴⣿⣇⣄⢸⣇⠈⠀⠀⠀⠀⠀⠂⡀ ⢻⣦⡀⠀⠈⠛⠛⠶⠆⠒⠻⣆⠀⠀⠀⠀⠘⢿⣿⠀⣷⠀⠘⣁⠀⣰⠟⠁⠈⢳⣎⡽⠂⠀⠀⠀⠀⢀⡀⠉⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣾⣿⣿⣿⣿⣧⣄⠀⠀⠀⠂⠂⠀ ⠈⠻⣟⠶⠒⠀⠀⠈⠈⠙⠷⠻⣆⠀⠀⠀⠀⠀⠻⡆⠻⣧⠀⠀⠉⠉⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠈⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢿⠉⣱⣿⠿⠋⢈⣿⠻⣿⣶⣤⣀⡀⠀⠤ ⡄⠀⠈⠀⠀⠀⠀⢀⠀⠀⠀⡀⠙⢷⣄⣀⠀⠀⢰⡏⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣩⣾⣥⣤⣀⠀⠀⠀⠀⠀⢀⡾⠀⣠⣽⠶⠧⠀⠀⢸⣧⡆⠉⠉⠈⠉⠉⠀⠀ ⠿⢦⣀⠀⠀⠀⠀⠁⠐⠁⠀⠀⠀⠀⢻⣿⣛⣿⣿⣿⣦⣀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⡤⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⠀⠦⣄⠀⠀⠀⣸⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠳⢤⣄⣒⠾⠃⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣟⣿⣿⣷⣤⡈⠛⢦⣄⠀⠀⠰⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠚⠉⢐⣢⡤⠶⠟⠳⡾⠿⠋⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⡀⠀⠀⠀⠀⠈⠉⠹⠷⡈⠀⠄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣶⡿⣿⢶⣤⣀⣀⣀⣀⣀⣀⣠⣤⣶⠞⠛⠉⠀⣀⣀⣬⠟⠀⢀⣴⠿⠂⢀⣶⣴⡆⠆⡀⣀⢀⠀⠀⠀⠐ ⠈⠋⠀⠀⠀⠀⠀⠀⡀⠀⠉⠂⠠⡤⠤⠀⢶⣾⠌⠛⣿⣿⣿⣿⣿⡿⣛⣲⣼⣶⡶⠾⠟⡿⢿⣿⣿⡿⣿⣿⠆⠀⠀⠀⠀⣾⣤⣴⣿⣟⣯⢠⣴⣿⣿⠟⠑⠆⠘⠉⠀⠀⠀⠋⠀ ⠑⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢦⠄⠀⢐⣾⣿⢀⣴⣿⠟⠋⠹⣿⣿⣾⣥⡼⠊⠀⠀⢶⣄⣀⡀⠉⠙⢟⠻⢶⣤⣀⠀⠙⠋⠽⢞⣿⣿⣿⢿⣟⣵⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⠶⠶⠟⠛⢻⣿⣿⠿⡉⠀⠀⠀⠀⠈⠛⡿⠋⠀⠀⠀⣀⠀⠈⢿⡟⢿⣦⡀⠱⣄⢀⠙⢷⡀⠀⠀⠈⠁⠈⠀⢀⡿⠛⠀⠀⠀⠀⠀⠳⣶⣷⣤⠀⠄ ⣿⣦⠈⠛⠉⠛⠛⠛⠛⠿⠛⣧⠤⠀⢠⣿⡿⠃⠀⠁⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠙⢦⡀⠈⢹⡆⢻⣷⡦⠿⢸⠀⠀⠻⣄⠀⠀⢀⣠⣶⠏⠁⠀⠀⣰⣦⡀⠀⠀⠀⠀⠉⠑⠀ ⠘⣿⡆⠀⠀⠀⠁⠀⠀⢀⣠⠷⠶⠒⣿⡿⢡⠄⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⢦⡀⠀⢻⣄⣼⣀⡠⠟⠀⠀⣿⠀⠀⠀⠈⠳⢮⣉⡾⢃⣠⣤⣶⣴⣿⣿⡇⣦⣀⣀⢀⡀⡀⠀ ⠀⠘⢿⣆⠀⠙⠛⢶⣶⣿⣥⣄⣀⣴⠛⠱⠀⠀⣀⡴⠞⠉⠀⠀⠀⠀⢀⣀⣤⣶⡌⢳⡄⢠⣿⠉⠉⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⣉⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣶ ⠀⠀⠀⢻⣿⡛⠙⠛⠂⠀⣀⣼⣿⣿⡶⠴⠾⠋⠁⠀⠀⣀⣤⠾⠿⠿⠿⣿⣝⣿⣿⣠⣾⣿⣿⠀⠀⠀⠀⢀⡀⣿⣦⣀⠀⢀⣴⣿⣿⡿⠟⠛⠛⠿⣿⡉⠁⠀⠈⠻⢿⣿⣿⣿⣿ ⠀⠀⠀⠈⢳⣄⡀⢀⣠⣼⠿⠟⠋⠁⠀⠀⠀⠀⣀⣴⣿⣟⡇⠀⠀⠀⠀⠀⠈⠉⢹⣿⣿⣿⣿⣦⣾⢿⣿⣿⣿⣿⣽⡻⣿⣿⣿⣿⣋⣀⡠⠀⠀⠀⠈⠙⠓⢶⣄⡀⠀⠉⠛⠛⠿ ⠀⠀⠀⠀⠀⣈⡿⠋⠉⠀⠀⠀⠀⠀⠀⣀⣴⣾⠿⠉⣾⠏⠇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣯⣉⠙⢿⣌⢻⣿⣧⣈⣻⣷⡘⣿⣿⡉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⣠⣴⣛⢻⣿⣿⣄⢠⣿⠀⢸⡀⠀⠀⠀⠀⣠⠞⠋⠁⠀⠙⢿⡄⠈⣿⡇⢿⣿⣿⣿⣿⣿⢸⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠔⠋⠉⢻⣿⣦⡀ ⠀⠀⠀⢰⡟⠀⢀⡀⠀⣀⣶⠟⣉⣞⣿⣿⣿⣿⣿⣾⣿⠀⠀⡇⠀⠀⣠⠞⠁⠀⠀⠀⢀⣠⣾⡇⠀⣿⣷⢸⣿⣿⣿⣿⡿⣸⣿⡷⠶⣶⣤⣤⣤⣄⣤⣀⣀⣀⣀⣀⣀⣰⠛⠻⠭ ⡀⠉⠀⢸⡇⠉⠀⣠⣾⠏⠀⣠⡿⠛⣿⣿⣿⣿⡿⢻⣿⠀⠀⣃⡴⠏⠁⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⡿⣷⢿⣿⡴⠿⠟⠛⠛⠛⠚⠿⠷⣼⣦⠶⠛⠋⠀⠀⠀⠀ ⠁⠀⠀⢸⣧⣀⣾⣿⣷⣶⣾⣿⢳⣤⣿⣿⡏⠉⠁⢼⣿⢀⡼⣫⠀⠀⠀⠀⠀⠀⢠⣾⣯⣿⣿⣿⡟⠿⠟⠉⠉⡇⠀⠀⠀⢸⣿⠀⠀⡄⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⢀⢀⠐ ⢸⡨⠀⠀⢪⣿⣿⢛⣠⡟⠋⣀⣭⣹⣿⣿⣇⡀⠀⣸⣿⡾⠁⡏⠀⢸⠇⢀⠀⢰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣇⣀⣀⠀⢸⣿⣀⠀⠙⠦⣄⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢻⣥⣄⣾⣿⣿⣷⡿⣻⣤⣾⣿⣿⣿⣿⣮⡏⠉⠠⣿⣿⠇⢸⠀⠀⡎⠀⢸⠀⣼⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⠁⠈⠳⠜⠞⠉⠀⠀⠀⠉⠛⣛⣶⡾⠛⠻⠾⠦⢄⡀⠀⠐⠀ ⣰⣿⣯⡟⠋⣽⠿⢶⣶⣾⡿⠿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠀⢸⠀⠀⡇⠀⢸⡀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⠒⠲⠦⠄⠀⠀⠀⠀⠀⠠⢴⣯⣀⢠⡤⡤⠤⠤⠀⠀⠀⢀⠀ ⣻⣿⣿⣯⡁⣰⣶⡞⢓⣺⣆⠀⠛⠛⠛⠛⠉⠉⠛⢿⣿⠀⠸⡀⠀⣇⠀⠀⣧⣿⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠛⠛⠋⠉⠉⠙⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠉⠀⠘⣿⡤⣤⣷⠀⣸⣤⠾⠋⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠈⡟⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⠶⠶⠖⠒⠛⠛⣿ ⢶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠶⠛⠋⠉⠁⠀⠀⠀⡀⠀⠂⢀⣾⠃ ⠈⠛⢿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠛⠉⠀⠀⡀⠐⠀⠐⠈⠀⠁⠠⠀⡁⠠⣼⠃⠀ ⠀⠀⠀⠹⢿⣿⣹⢿⣷⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⠏⠉⠀⠀⠀⠆⠈⠀⠀⡀⠈⠀⠆⠁⠀⠆⠀⠀⣸⡇⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⣿⣞⣿⣻⣶⣄⠀⠀⠀⠀⠀⢀⡶⠛⠛⠛⠳⣶⡞⠉⠀⠀⡀⠄⠈⢀⠀⠂⠈⠀⡀⠐⠀⡀⠂⠐⠈⠀⣰⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⣷⣿⣞⡿⣿⣦⣀⠀⢠⡟⠀⠀⢀⠀⠀⠈⣿⠀⠂⡁⠀⠀⠄⠀⠠⠀⢁⠀⠄⢀⠁⢀⠀⠂⠀⣱⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣟⡿⣿⣷⣟⣿⣷⣾⣷⣦⣄⠺⠿⠀⢀⣿⠾⠛⠛⠛⠿⣦⡁⠀⠄⠠⠀⠄⠀⠠⠀⠐⠀⣱⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡷⣯⢿⣿⣯⣿⣿⣿⣿⣷⣦⣴⡿⠁⠀⠀⠀⠀⠀⠈⣿⠀⠀⠄⠂⠀⠌⠀⠐⠀⣰⡟⠀⠀⢀⣠⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣯⣟⡾⣽⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣴⣦⠀⠀⢸⡇⠈⢀⠂⠁⠀⠌⠀⣠⡟⠀⢀⣴⢟⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣳⢯⣻⢿⣷⣟⣿⣿⣿⣄⠀⠀⠉⠁⠀⣰⡟⠀⠠⠀⡀⠈⠀⠄⢰⡟⣠⡾⠋⠁⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⢿⣿⣏⡿⣾⣹⣿⡾⣷⢿⡏⠿⣶⣶⣶⠿⣿⠀⠀⡀⠀⠀⡀⠁⢀⣿⡿⠇⠀⠀⡀⢿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠙⢿⣿⣷⣯⣻⣿⣹⣿⡷⠀⠀⠀⠀⠀⠘⢷⣄⣀⢁⣀⡀⠄⠛⠋⠀⠀⠠⠐⠀⠸⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⢷⣄⠀⠄⠁⠀⠄⠂⠀⢻⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⢈⣀⣠⣠⣵⣾⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠈⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠿⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⠤⣤⣄⣠⣀⣀⣀⣄⣤⣤⡤⠴⠶⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟫🟫🟫🟫🟫🟫⬜⬜⬜⬜ ⬜⬜⬜🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫⬜⬜ ⬜⬜🟫🟫🟫🟫🟫🟨🟨🟫🟫🟫🟫🟫⬜ ⬜⬜⬜⬜⬜🔵⬜🟨🟨⬜🔵⬜⬜⬜⬜ ⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜ ⬜⬜⬜⬜🟨➖🟨🟨🟨🟨🟨🟨⬜⬜⬜ ⬜⬜⬜⬜⬜🟨➖➖➖➖🟨⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟫🟫🟫⬜⬜ ⬜🟫🟫🟫🟫🟫🟫🟫⬜⬜⬜⬜⬜🟫🟫 ⬜🟫⬜⬜⬜⬜🟫⬜🟫🟫🟫⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🟫🟫⬜⬜🟫⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🟫🟫🟫⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟫🟫🟫🟫⬜🟫🟫🟫⬜⬜⬜
🕷️😝🧛 cody, single
⛺️🌲🚤🪵🌳
👁️⚠️🎩, illumanati, one eye, Top hat
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FISHY🐠FISHY🐟WITH😊NO🚫NOSTRILS👃🏼CAN🚮YOU🫵SEE👀MY😔FISHY🐡GILLS🦈
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☢️👽👁️😵👩‍🚀🤖👁️‍🗨️
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡞⠛⠛⠒⠣⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣸⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⢀⣠⠶⣆⠀⠀⠀⡀⣠⣾⡧⠤⠤⠦⠾⠷⠶⠦⣤⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⡟⠉⣹⠋⠀⠀⠈⣾⡴⠓⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠋⠙⠲⡆⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢷⡜⠁⠀⠀⣠⠞⠁⢠⠔⠒⠒⠲⢤⣀⡰⠃⠀⠀⠀⢀⠖⠋⠉⠑⢾⢢⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⣧⠀⠀⠀⣴⠃⠀⡀⢁⡠⠔⠒⠒⠲⢄⢸⡄⠀⠀⢠⠏⠀⠀⢠⣤⣄⢣⢿⡄⠀⣀⡀⠀ ⠀⠀⠀⠀⠁⠲⣾⠃⠀⠰⣁⡟⠈⠩⠽⢖⣒⠺⢯⢢⠀⡠⣾⠔⠒⠫⠙⠋⠁⠀⠸⣦⣘⡜⠚⡄ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠙⢄⡀⠀⠀⠀⠉⠈⠉⠀⢦⢕⣒⣒⢢⠀⠀⠀⠀⠀⢿⠉⠲⡄⣿ ⠀⣠⣟⠀⢀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣵⣿⣶⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⢻⠋ ⠠⡝⠛⠦⠞⠋⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡾⡀ ⠀⡇⠀⢀⡴⠒⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢸⣃⡞⠥⠂⣛⢋⠆⠀⠀⠀⠀⢸⣤⠴⠓⠀ ⠐⢳⣄⣸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⠽⠊⠀⠀⠀⠁⠀⠀⠀⠀⢀⡾⠈⠀⠀⠀ ⠀⠀⠈⠙⢦⡀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⠙⠶⠶⠚⠻⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⠾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⢤⡤⣀⡀⠀⠀⠀⠀⠀⡠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⢲⣤⠀⢠⡾⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡴⢚⡭⠿⣾⣗⣺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣩⠫⣤⠖⣽⡿⠾⣮⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣝⠮⡜⢦⡁⢀⢂⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣟⠼⡑⢂⠌⠂⠁⠀⠀⠙⠃⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣧⠝⠉⠀⠀⠀⠀⠀⠀⢰⡆⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠹⠿⠈⠛⢿⣟⣯⡿⣯⣟⣯⣿⣻⣟⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⣳⡻⣞⡳⣟⡾⣽⣳⢿⣻⣽⢿⣻⣿⠿⠟⣻⡿⠟⠁⠀⠀⠁⠂⠀ ⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢧⣛⠼⣓⢧⣏⡿⠃⠉⠉⠁⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠓⠉⠂⠋⠀⡀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠁⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠠⠐⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡇⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⢀⡐⠠⠀ ⣿⣿⣿⣿⣿⢯⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠠⠀⠈⠐⠃⡐⣠⠘⢠⠂ ⣿⣿⣿⣿⢯⡿⡾⣝⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠁⠰⠀⠐⠀⠀ ⣿⣿⣿⣯⢿⣽⢻⣜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⡛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣿⣿⣿⣞⡿⣎⠷⣭⠟⠐⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⣨⠶ ⣿⣿⡷⣯⣟⣭⢻⠁⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠉⠀⠉⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⠐⡠⢋ ⣿⣿⣽⢷⢯⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠀⠀⠃⠀⢀⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⣚⣤⣿ ⣿⣿⣚⢥⡢⢰⢃⠕⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣟⣶⣶⣶⣿⣿⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⢯⣻⣽⣻ ⣿⡵⢞⡫⢝⡥⣊⠠⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠘⠀⢀⠰⣡⢚⡤⣫⢷⣛⡾⣽ ⡝⣎⢧⡙⣎⠶⣩⠔⠨⢄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⠉⢹⡏⠉⠉⠉⣿⡩⠉⢹⡏⠉⠀⠀⠀⠀⠀⢀⠠⡜⢢⡕⣪⣶⣻⢮⡽⣻⣽ ⣝⠲⣌⠳⣌⠲⡡⢎⠴⠨⢜⠐⠠⣀⠀⠀⠀⠀⠀⠀⢹⡔⠈⠻⣿⡆⣰⠏⠀⠀⣿⠀⠀⠀⣀⠰⣈⠆⣌⠳⣜⢣⡞⣽⢸⡝⣮⣽⣳⣿ ⢎⡓⣌⠳⣈⠧⡑⠈⠄⠁⢂⠊⡰⢀⠣⢈⠄⠄⡀⢅⡈⣷⡀⠄⡈⣾⡏⢠⢁⣾⠃⠀⢎⢡⣐⢣⡝⣺⢬⡟⡼⣧⢻⡼⣗⡺⡵⣯⢷⣿ ⢢⠑⢎⠳⡌⡰⡰⢃⡬⢀⢣⠘⡀⢃⡉⢅⠂⡰⢌⢦⡱⡌⢿⣷⠀⠹⡘⠼⡿⣃⠰⡸⢌⠳⣌⠷⣚⠥⣳⢽⣹⢎⡷⣿⣜⡳⣿⣽⣻⣿ ⢣⠞⣈⠳⢰⠀⠀⢈⠔⠂⡄⠡⣐⠢⡜⢌⠒⢥⠚⢦⠱⡚⡔⣊⢥⣒⡯⡥⠷⣌⣳⢱⣋⠷⢮⣹⢭⣛⡶⢯⣞⣽⡹⣷⣾⣹⣞⣷⣿⣿ ⠂⠦⡐⢤⠣⢄⠠⠌⡌⢱⠰⣉⢆⠳⣈⠖⣈⠆⡻⢌⡇⠧⠙⠈⠀⠀⠁⠀⠀⠀⠀⠈⠘⠓⠒⠧⣯⣳⣽⣻⢾⡽⣷⣳⣟⡷⣯⣿⣾⣿ ⣉⠮⡑⢤⠃⣌⠱⢨⠘⠎⡔⣡⢊⡱⢜⡚⣤⢘⡁⠩⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣽⣋⣿⢷⣻⢾⣟⣿⣿⣿⣿ ⠤⢣⠝⣢⠙⣄⢋⠗⣡⢋⡔⡡⢎⠔⡣⣽⠰⣊⢄⡠⣢⣀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠈⠒⠐⠐⠀⠠⠀⠑⢿⣯⢿⣻⣯⣿⣿⣿⣿⣿ ⢣⢣⢫⢔⡉⣎⠮⡜⣤⣃⣤⣖⣓⣼⢾⣱⢏⡳⣎⠶⣡⢖⡱⣢⠄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣯⢷⣯⣿⣿⣿⣿⣿ ⣁⣮⣶⣷⣿⣶⣧⣿⣿⣿⣿⣿⢿⣽⣯⣟⡾⣽⢎⡿⣱⣎⢷⡱⣞⠄⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⡀⠀⠘⣿⣞⣾⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣿⣽⣯⣟⡷⣽⣞⡷⣯⣤⡴⣤⣄⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠄⠳⠀⠀⠈⣿⣞⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣯⣿⣟⣾⣽⣷⡿⣽⣷⣿⡆⠀⠀⠐⠈⠀⠀⠑⠀⠀⢃⠀⠀⠀⠀⠸⣽⢾⣽⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣦⡄⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⣿⣻⢾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣽⣻⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣿⡄⠀⠀⠀⠀⠀⠀⠀⠸⢳⣏⠟⣿⣿
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n______n _______ | ( ● ◡●)| |◕ᴥ◕ u| -------------- ------------
⡐⢄⠢⡐⢠⠂⡐⣀⠂⡐⣀⠂⡐⠠⢂⠄⢂⠰⣀⠢⠐⡄⠢⡐⡐⢢⠐⢢⠐⢢⠐⡂⢆⠒⡐⢢⠙⣯⢿⣹⢏⣿⣹⢯⣻⢽⣻⣆⠰⢹⣯⣝⣯⣻⣝⣯⣻⣝⣯⡽⢯⣻⣝⢯⣻ ⠐⢂⠰⠠⢁⢂⠡⠄⣂⠡⢀⢂⠰⢁⠢⢘⠠⠡⢄⠢⢑⠠⡑⠤⢑⢂⠩⢄⡉⠆⡱⢈⠆⡙⢌⠡⢎⡐⢫⣯⠿⣜⣳⢯⡽⣞⣧⢿⡄⢉⢷⣟⣾⣳⣟⣾⣳⣟⡾⣽⣟⡷⣯⣿⣳ ⠘⠤⡑⡈⠆⡌⢂⠒⠠⠌⢂⠄⠃⡌⡐⢂⣡⣁⣦⣥⣮⣴⣥⣊⣰⢈⠒⠤⡘⠤⡑⢌⠢⡑⢌⠊⠴⣈⢣⠙⣿⡽⣛⡾⣽⣻⡼⣳⣻⡀⢜⡿⣞⣷⣻⢞⡷⣯⣟⡷⣯⣟⡷⣏⣿ ⠌⡒⢠⠑⢢⠐⡡⢊⠡⢘⠠⠌⣡⣰⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣥⣦⣥⣼⣦⣵⣮⣷⣶⣦⣬⣑⡌⢿⣽⢻⡷⣽⣳⢯⣟⣷⠀⢸⣿⢾⡽⣯⣟⡷⣯⣟⡷⣽⢯⣟⡾ ⡐⢡⠂⠩⠄⡃⠔⡂⢌⠂⢆⣱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢻⣯⣽⡳⣯⣛⡾⣽⣆⠰⢿⣯⣟⡷⣯⣟⡷⣯⢿⣽⣻⢾⡽ ⠠⢃⠌⡱⢈⠔⡡⢘⢸⣎⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢐⢻⣶⣻⡵⣯⢟⣶⣻⡄⠜⣷⣫⢽⡳⢯⡽⣏⢿⡺⡽⣏⡿ ⠰⣁⠊⠔⡈⢆⠱⡈⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡊⢆⢻⣵⣻⣭⣟⣮⢷⣳⠈⢹⣎⢧⣛⢧⡟⣼⢧⣟⣳⣭⢻ ⠰⢠⠉⢆⠱⣈⠰⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢏⠒⣡⠊⡔⢻⣵⣻⣼⢫⣟⡽⣆⠙⢯⣟⣾⣳⢿⡽⣞⣾⣳⢯⣟ ⠣⢄⠛⡄⢣⠀⠇⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠛⠻⠿⢿⣿⣿⡿⠿⠿⣿⣿⡟⣄⠛⠤⡀⢇⡸⢀⢿⣇⣟⡿⣸⢧⢿⡀⢻⡿⣤⣟⡧⣿⣻⣤⣟⡿⣼ ⣶⣷⣾⣶⣥⣾⣬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡃⠀⠠⠶⠛⠛⠿⠿⣷⡶⠂⠀⠀⠀⠀⢸⣿⣿⢠⠉⡆⡑⢢⠘⡂⠎⢿⣮⡽⣏⣯⢻⣇⠀⢿⣱⢞⡳⣽⣚⠶⣽⣚⢷ ⡟⢻⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⠀⠀⠀⠀⣀⣀⣤⣄⡀⠀⠀⠀⠀⠀⣤⣦⣿⣿⡆⡱⢂⠅⣃⠎⡱⠘⡜⣷⣻⢼⡳⣟⢾⡀⠜⣯⡞⣽⢲⣭⣛⢶⡹⣎ ⠃⠚⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠄⠀⠀⠀⠈⠑⠐⠟⠻⢼⠀⢳⠀⠀⠀⣃⡀⢹⣿⣧⡑⢌⠢⡁⢎⠰⣁⢒⠸⣏⣷⣛⡾⣏⣧⢸⢳⣻⢼⡳⢮⣝⣮⢳⡽ ⡓⠚⡇⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡉⠀⠀⠀⠀⠀⠀⠀⠋⠁⠁⠀⠈⠀⠀⠘⡿⠿⣾⣿⡇⠣⢌⠢⡑⢌⠒⡄⢣⠘⡸⣧⢿⣱⠿⣼⡂⢨⣟⡮⣽⢳⡞⡼⣧⣛ ⠓⠒⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡀⢧⣩⠋⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠀⠀⠀⠳⡀⢻⠏⡌⡑⢂⠱⣈⠢⡑⢌⢂⠱⣀⢻⣧⢏⣿⢳⣧⠈⢽⣳⢭⡳⣏⢷⣣⢟ ⣧⣤⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⠴⠶⠀⣤⡇⠈⡗⣠⠑⡌⠢⢄⠱⡈⠆⡌⠒⡄⢊⢷⢯⡞⡷⣞⡆⠌⣷⢫⡵⣫⢞⡵⣫ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢄⠊⡔⢡⠊⡔⢡⠊⡔⠱⡈⢆⠚⣯⠾⣝⡞⣧⠀⢯⣷⡹⣧⢟⡾⣱ ⣿⣟⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⡀⠀⡎⠐⠲⠶⣒⡒⠓⠒⠦⣄⢀⠀⣸⠋⡄⢣⠘⡄⢡⠂⡅⢎⠰⢡⡘⢄⠣⢹⡯⣝⡾⣹⠆⠌⣷⣻⡵⣏⡿⣵ ⣿⣭⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⢺⡀⠀⠀⠀⠀⠀⠀⠓⠀⠀⠀⠀⠀⡀⠉⠩⠒⠚⠉⠎⣠⠇⡱⢈⠆⡡⠘⡄⠣⠘⡄⢃⠆⡘⢄⠃⠆⢿⣧⢻⣽⣇⠀⢻⣷⢻⡽⢯⡷ ⠛⠛⠙⢻⣿⣿⣿⣿⣿⢏⡟⡿⣧⣄⣀⠀⠳⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠲⠃⠀⢠⢇⡘⢄⠣⡐⠡⢃⠌⡡⢃⠜⡠⢃⠜⡠⢉⣼⡾⢻⡷⣞⣼⡀⠜⣯⣏⣟⣯⡽ ⣄⣀⣀⣸⣿⣿⣿⣿⡿⣚⡼⣱⢚⡼⢭⡻⣗⢮⣗⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⣰⣬⣂⡆⠱⡈⢆⡘⢄⠣⢌⠰⡁⢎⣰⠟⠁⢓⣿⢿⡱⣧⡇⠀⣿⢾⣹⢶⣻ ⣿⣿⣿⣿⣿⣿⣿⣿⡽⣱⠞⣥⠻⣜⣣⠷⣩⢞⡼⣩⠷⣮⣙⠲⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢠⢿⡿⣧⠀⠻⣅⠒⠤⡈⢆⡘⢄⠣⣘⣴⣏⠀⣠⡞⢹⡧⣟⢶⣻⣀⢹⣯⢟⣞⣳ ⠿⠿⠿⠿⠿⣿⡿⡿⣷⡍⡾⣱⢛⡜⡶⣍⡳⢮⠼⣱⢫⡼⡹⢧⡀⠀⠉⠟⢲⣶⣦⠖⣶⣾⡏⢼⡧⢿⡀⠀⡗⡈⢆⡑⢢⠘⡄⣳⠟⠸⢞⣴⠋⡔⢩⢷⣫⠾⣟⣹⣧⣿⣮⡝⣮ ⣐⣬⣶⢾⡻⣹⢜⡳⢭⡻⢷⣥⢻⠼⣱⠮⣵⢋⡷⣩⢖⡳⢭⣛⢷⠀⠀⢀⣾⢳⠃⡌⣿⣳⡇⢚⠓⣼⠁⠀⢸⡡⢂⠜⡠⢃⡼⠃⠀⢠⡞⢡⠊⡔⣡⣾⣧⠶⠛⠉⢯⢠⣷⡶⣴ ⣏⡳⢎⣧⢳⢭⡞⣭⢳⠭⣏⡽⣻⠷⣧⣛⡴⣫⠶⣙⢮⡝⡶⢭⢞⣇⢠⢾⣣⡏⠀⠀⣿⣳⡏⠤⣉⡇⠂⠀⠈⠳⣥⣪⡴⠟⠀⢀⣼⠋⡔⢡⣲⠼⠛⢿⡽⠀⣠⣴⣾⡿⢟⣾⡱ ⡎⡗⣯⢲⡏⣶⢹⡜⢣⡟⣼⢱⡇⣿⢩⡟⢳⣧⡟⣭⡞⡜⣧⠛⣮⣽⣾⢣⣿⡝⢻⣦⣯⣷⡏⠒⣼⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢳⡞⠛⠉⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿⡟⡟⢻ ⡝⣞⣬⢳⣚⡥⣏⡳⢯⣜⡣⣗⣹⠲⣏⠞⣧⢫⣝⢻⠾⣵⣎⣟⡴⣻⣝⣾⡯⣙⢧⣫⢝⡳⣿⣴⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡝⡦⢧⡳⢣⡝⡶⣹⢣⢮⢵⢺⣌⡟⣬⢻⢬⢳⢎⣏⢾⡱⢮⣝⡻⢿⣞⣳⣚⡭⠶⡭⡞⣵⢣⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠉⣠⠞⠤⡁⠀⠀⠀⠈⠀⠉⠈⠉⠉ ⡽⣘⢧⡝⣣⢻⡜⡵⣫⠞⣎⡗⢮⢞⡱⣏⠾⣩⢞⡼⢎⡽⢳⣬⠳⣿⣹⡳⣬⢳⢏⡳⡽⢬⡿⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣋⣬⡼⢥⠖⠲⢺⡟⣳⠀⠁⠀⠀ ⡳⢭⠶⣩⣓⠧⣞⡵⢣⡟⣜⡺⢭⡞⡵⢎⡻⣥⠻⣜⣫⢞⡳⡜⢯⣷⢿⣳⡹⢮⣙⢧⣽⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⢀⣈⣦⠤⠶⠛⠁⠀⠀⠀⠀ ⡹⢎⣳⠳⣬⢳⠞⣜⢧⢻⡜⡵⣫⠼⣍⠯⡵⢎⣟⣲⡱⢯⡼⣹⡓⣾⡽⣧⢏⣷⡽⠋⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⢫⣅⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⣙⢮⡱⣋⢶⣋⠾⣍⡞⢧⡞⡵⣣⢻⢬⣛⡼⣋⠶⣥⡛⡶⣍⢧⣝⣶⡿⣟⡻⣝⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣞⣡⣘⣌⡺⠅⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⡎⣖⢳⣙⢦⢫⣝⠺⣜⢳⣚⡵⢭⣣⢏⡖⢧⣫⢝⡲⣝⣱⣮⡿⣏⢷⡹⡜⣧⢳⢎⠿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢳⣬⢓⣮⣹⢲⣍⡻⣜⣣⢗⣮⢳⣱⣮⣝⣧⡾⣟⣟⡻⣝⣣⢟⡼⣎⡳⣝⣎⢷⣋⢯⡽⣷⡂⠀⠀⢀⣀⣠⣤⣤⣶⣶⣛⣷⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢞⢕⡲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⡤⡢⠖⠛⠋⠁⠉⠉⠉⠒⣒⡠⠤⡀ ⠙⢖⡅⠀⠀⠚⠆⡍⠐⠄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⡨⠤⡉⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠠⠉⡠⠇⠈⠀⠀ ⠀⡏⠖⠀⠀⠀⠀⠀⠀⠐⠉⢥⡀⢧⢁⣤⡀⠂⡦⠳⠇⠃⠋⠉⠉⠉⠽⠱⠮⣏⣢⡄⠀⠀⠀⢥⢠⠋⠀⠀⠀⠀⠀ ⠀⣏⠗⠀⠀⠀⠀⠀⢀⣀⠤⠋⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣇⠄⣾⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡿⡉⠀⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢘⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢔⠾⠛⣆⠀⠀⢀⣐⡯⠙⠻⣡⠣⡀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠼⠫⠈⣾⡇⢀⣚⠀⠀⠜⣗⢒⡶⣻⢼⢘⡂⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⡆⠀⠂⠀⠀⠀⠀⠀⠀⠀⢂⠆⠀⠀⣿⠇⡞⡇⠀⠀⠘⣽⠐⡵⡿⣰⣟⠅⠀⠀⢺⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡏⠬⣯⡽⠃⠀⠀⠀⠀⠀⠫⠽⠉⠁⠀⠰⠖⠛⠹⠛⠛⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀⣠⡼⠟⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣶⣄⡀⠀⡏⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣼⡵⠃⠀⣠⣠⣀⠀⠀⠀⠀⠀⣀⡄⠤⠤⠤⠤⠖⠒⣲⣶⣶⣶⠀⠙⠶⣦⡈⡿⡧⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣾⣧⣆⣀⠀⠀⠀⠀⠀⠈⠑⠒⠒⠒⠒⠒⢒⣀⣛⡣⠴⠋⠀⣀⡤⡞⠃⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠋⠛⠛⠛⠛⠿⠶⠒⠒⠒⠋⠙⠉⠃⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🤍𝖢𝗈ო౿ ᥣꪱᜒ𝗏౿ ⍵ꪱᜒ𝗍𝗁 υડ!💙ꪱᜒ𐓣 𝗍𝗁౿ ρɑᥣɑɕ౿!💛𝗍𝗁౿𝗋౿ ɑ 𝗋𝗈𝗈ო ⍵ɑꪱᜒ𝗍ꪱᜒ𐓣𝗀 𝖿𝗈𝗋 ɣ𝗈υ🤍💙💛ɕ𝗈ო౿ 𝗈𐓣 ɕ𝗈ო౿ ɕ𝗈ო౿ 𝗈𐓣…! 𝖩υડ𝗍 ᥣ౿𝗍 υડ ɑᑯ𝗈𝗋౿ ɣ𝗈υ🩷
→ υя ѕку ιѕ αѕ мυ¢н αѕ υ’∂ ωαηт тσ яєα¢н, υя ℓιƒє ιѕ αѕ ℓσηєℓу αѕ υ’∂ ℓιкє тσ мαкє; υя נσу ιѕ αѕ мυ¢н αѕ υ ∂є¢ι∂є тσ ƒєєℓ, υя ηιтє ιѕ αѕ ℓσηg αѕ уσυ ∂є¢ι∂є тσ ωαкє. ησ σηє ѕєтѕ тнє ℓιмιт ƒσя υ, ησ σηє ¢αη єт¢н тнє ѕραη σƒ тнє ѕку, αℓℓ υ ηєє∂ тσ ∂σ ιѕ яιѕє, ѕρяєα∂ υя ωιηgѕ &αмρ; ∂є¢ι∂є тσ ƒℓу. → вує ιѕ α ℓιттℓє ωσя∂ тнαт ¢αυѕєѕ ѕσ мυ¢н ραιη. тнє ρєяѕση уσυ нσℓ∂ ησω мιgнт ηєνєя мєєт уσυ αgαιη. ѕσ ηєνєя ѕαу “вує” αℓωαуѕ ѕαу “мєєт уσυ αgαιη” σя “ѕєє уσυ ѕσση” ѕєη∂ ιт тσ тнσѕє ωнσм уσυ ηєνєя ωαηт тσ ѕαу ‘вує’ ιη уσυя ℓιƒє. → тнє нαя∂єѕт ραят σƒ мιѕѕιηg ƒяιєη∂ѕ ιѕ ησт тнєιя αвѕєη¢є, ιт’ѕ ωнєη уσυ тнιηк σƒ αℓℓ тнσѕє gσσ∂ тιмєѕ αη∂ αѕк уσυяѕєℓƒ, ‘ωιℓℓ тнσѕє мσмєηтѕ єνєя нαρρєη αgαιη?’ → ѕωєєт ιѕ уσυя “ηαтυяє” ∂єαя ιѕ уσυя “ηαмє” αѕ єαятн ωαηтѕ “ωαтєя” ƒℓσωєя ωαηтѕ “∂єω” ι ωαηт ησтнιηg вυт “нαρριηєѕѕ” ƒσя υ → ηєνєя вє ρяσυ∂ ησя ∂єρяєѕѕє∂ ƒσя ωнαт уσυ αяє αη∂ тнє ρσѕιтιση уσυ нσℓ∂ ιη ѕσ¢ιєту! яємємвєя, ωнєη тнє gαмє σƒ ¢нєѕѕ ιѕ σνєя, вσтн кιηg αη∂ ραωηѕ gσ ιη ѕαмє вσχ! → ωнєη ρяσвℓємѕ αяє ѕσ вιg αη∂ уσυя ѕтяєηgтн ιѕ ησ ℓσηgєя єησυgн тσ ¢αяяу тнєм, ∂ση’т gιν υρ. ωнєяє уσυя ѕтяєηgтн єη∂ѕ, тнє gяα¢є σƒ gσ∂ вєgιηѕ ωιтн. → υ я тнσυѕαη∂ѕ σƒ мιℓєѕ αωαу ƒяσм мє, ѕтιℓℓ ι\'м ωαт¢нιηg υя єνєяу мσνємєηт ση 3 ∂郃т ¢нαηηєℓѕ: ρσgσ, ¢αятσση ηєтωσяк &αмρ; αηιмαℓ ρℓαηєт. тнηχ тσ мє∂ια.
🌀İtachi🍥🌀İtachi🍥🌀İtachi🍥🌀İtachi🍥
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⣴⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⠶⠲⠿⠿⠿⢿⣿⣶⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠏⢉⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠇⠀⠉⠉⠉⠁⢀⠀⣿⣿⣿⣦⠀⠀⠀ ⠀⠀⠀⠀⣤⣾⣿⣿⡟⠋⠀⡏⢰⠉⠉⢪⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣾⣿⣿⠐⣧⡆⠀⠀⠀⢸⠀⣿⣿⣿⣿⣧⠀⠀ ⠀⠀⣠⣾⣿⡿⢋⡥⠀⠀⠀⠀⢸⠀⠀⢀⠌⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣧⠠⠤⡏⠀⢦⡴⠀⠈⢀⣿⣿⣿⣿⣿⣆⠀ ⢀⣴⣿⡟⠉⠀⡼⢁⠔⠒⢠⡀⠀⠑⠒⣡⠄⠀⠹⣾⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⠦⢤⣴⣿⠟⠁⠀⠀⠁⢠⡀⡀⣼⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⡇⠀⠀⠃⡈⠀⠀⠀⡧⠀⠀⠈⠼⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠟⠁⠀⠀⠈⢿⡄⠀⠀⠀⠀⣰⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠆ ⢿⣿⣿⣿⡄⠀⠁⢃⣀⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠋⠀⠀⠀⠀⠀⠀⠰⣻⠄⠀⢀⣼⣿⢯⣟⣷⣯⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⠘⣿⣿⣿⣿⣄⠀⠰⠁⠀⠀⠀⠀⣠⣾⣷⠦⠄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⢄⠈⠻⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⢃⣠⣾⣿⢯⣿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠹⣿⣿⣿⣿⣦⡀⠀⢠⡤⣤⡀⠛⠉⠀⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣄⡱⢄⠀⠙⠿⣿⣦⣄⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀ ⠀⠀⠻⣿⣿⣿⣿⣿⣄⣀⣥⣿⣇⣀⡤⠤⠤⠚⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠛⣏⣉⣉⡏⠉⠉⢣⠀⠀⠈⠛⢿⣷⣦⡀⢠⣾⡿⠟⠋⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀ ⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣯⣬⠿⠧⠤⠞⠛⠉⣙⣄⡀⠀⢀⣤⣶⣾⣦⡙⠿⣷⣾⡿⣏⡼⣇⣀⣀⣼⣿⣦⠀⠀⣠⣽⣿⣿⣿⣿⡄⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⣀⣀⣀⣾⣿⡗⠀⢸⣿⣿⣿⣿⣿⠸⣿⣯⣠⣾⢡⠀⢠⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠿⣿⣿⡉⠀⣰⠿⣷⣆⣰⣿⣿⣿⣿⡏⠹⣶⣿⣿⣿⣿⣿⠿⠀⠉⠉⣿⣿⣸⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⣿⡷⠊⠀⠀⠈⠙⣿⣿⣿⣿⣿⣦⣾⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⠛⣿⣿⣿⣿⠀⣻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣿⣿⣄⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⣿⣿⣿⡗⣰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣧⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⠟⠛⢻⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣟⠀⠀⢸⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡿⠿⣸⠹⡍⠣⣤⣉⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣾⣿⠒⢿⣶⣉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠉⠛⠛⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣸⣿⣿⣿⣿⣇⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠉⢻⣿⠉⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🎬🇨🇦𝘛𝘰𝘵𝘢𝘭 𝘋𝘳𝘢𝘮𝘢
𝘙𝘦𝘨𝘶𝘭𝘢𝘳 𝘚𝘩𝘰𝘸
HIHIII!! it’s me, toxicityv again!! :3 IM GONNA SHOW SOME EMOJI COMBOS I FOUND FOR YOUR FANDOMS N OTHER THINGS YAYA!! homestuck fandom! ^_^ 🪣♊️ / 🏠🔒 / 🍭🥩 / 🌈🩸 object shows!!! :3 💭🏝 / 🎒⚡️ / 🍪📱 / 🌃🏡 / 🥕🥬 death note!! :B 📓✍️ / 💀🖋 Regretevator! >_< 🛗♾ Weezer!!!! >o< 🟦🎸 Tmnt !? -_o 🍕🐢 Shipping n such!! B) 🥞💫 anti-shipping 💜🚀 oc x canon 🦄💎 cross-shipping 🌍♾ multi-shipping 🌈🍖 pro-shipping 🌸🌙 com-shipping 🍋🌈 profiction 🦴🐾 dark-shipping Tdi!! x_x 🎥🏝 Mental 🌈♾ Autism 🌈🦋 ADHD 🌈⌛️ OCD 🐞♾ BPD Mindless self indulgence!! 🦑🐇 My chemical romance! =^-^= 🕷🎶 D4DJ !! :D 💿🎶 Scott Pilgrim!! 0_0 🛼🎸 Steve Universe ⭐️💎 Tankmen 🪖💣 Tyler, the creator!! 🌸🕺 / 🐝🌻 / ⛺️🧢 / 🧳💳 CoD! 🔫🩸 These are all I feel like putting…. lmk if i spelled anything wrong btw…..I don’t feel like doing anymore, so sorry!! ^_^
Emoji combos and their meanings to be aware of! (I DONT SUPPORT ANY OF THIS!) TW BEFORE READING, MAY MAKE PEOPLE UNCOMORTABLE! ; 🌈🍖 Proshipper, 🌸🌙 Comshipper, 🕊️⚰️ Dead dove do not eat / A warning for extremely graphic / disturbing / triggering content, usually gore/porn. 🎱🎀 Darkshipper, 🍓🍰 Random Proship, 🍟🐾 Traumatized Proshipper. 🐰🎀 Lolicon, 🍯🧸 Shotacon, 🥀☁️ Noncon, 📚☕Agegap. 🌸💫 Grooming/Groomer, 🍨🍭 Kodocon, 🎀💣 evil autistic lolicon. ANTI-PROSHIPPER COMBOS! ; 🐜🍵Antishipper , 🥞🌙 Antishipper, 🎈✂️ Antishipper, 💥🥩 Antishipper. 🍷🍀 Antishipper, 🌈🏀 Antishipper, 🧱🌪️ANTI-Profiction. PAST PROSHIPPER COMBOS! ; 🍓🧼, Ex-Proshipper, 🍖🫷 Ex-Proshipper, 🍄🕷 Ex-Proshipper. 🎀🍫 Ex-proshipper, 🧁✨ Ex-proshipper, 💌✨ Ex-Proshipper. PEOPLE WHO DONT AGREE WITH PROSHIPPERS BUT DONT HARASS COMBOS! ; 🌬️💬 Antihara/Anti-shipper, ⭐️🐚 Antihara/Anti-shipper, 🍡🐾Antihara/Anti-shipper. Combos of people who try to help proshippers! ; 🕯🧺 Helper, 💐⛅️ Helper, ⛑🎀 Helper, 🩹💿 helper. Proshipper DNI combos! ; 👋🌋 DNI, 🍂🥨 DNI. Triggered by proships combos! ; 🍥🍓 Triggered, 🐈⬛🦠 Triggered, 🥀🐞 Triggered. Neutralship combos! (A person who isnt a proshipper nor antishipper and doesnt care) ☮️🐶. Selfcest, Selfship combos! ; 🫂🌟 Selfcest/Selfship, 🍪🎧 Selfcest/Selfship. Doveship (A doveshipper is a proshipper who strictly only likes sfw content/ships.) 🕊️🌱💌. Multiship/Multishipper combos! ; 🌸🎻. Therian/Furry/Otherkin proship/Comship combos! ; therian comship 🐾🌈, otherkin comship 🕊️🌈, furry proshipper🌈🐺 / 🌈🐈. RANDOMS! ; 🧴✒️ NFSW writer, 🧼🫧 SFW writer/Shipper, 🕰️💿 / 💗🗝️ nsfw shipper. 🌺💫 comshipper who can't get therapy, 🪐🪶 / 💤💋 not interested in discourse. open to discourse ships 💢🧵. Reminder, If you're going through any of this you arent alone, Alot of people care about you including me. <3

Warning: This item may contain sensitive themes such as nudity.

FANDOM EMOJI COMBOS! ; Slime rancher - 🚜🦑 Battle for dream island/BFDI - 💭🏝️ (Or any other object shows) Total drama island/TDI/TD - 🎥🏝️ MSI - 🦑🐇 Homestuck - 🛁🖋️ Dandys world - 🌈🌼 Dog man - 🐾🚔 FPE - 📜🩸 Doors - 👁️🚪 Miracle music -🌴🌈 Tally hall - 🔲🔳 Country humans - 🌐✨ Gorillaz - 🎸🦍 Garten of ban ban - 🪱🌈 Kirby - 🩷💫 Splatoon - 🦑🎨 Invader zim - 🐶🛸 Aggretsuko - 🎸🖇️ Project sekai - 🌸🎮 Bad parenting - ⛓️🚬 Sonic - 🦔🟦 Gravity falls - 🌲🌀 Clone high - ⏰🧬 Heathers - 💛❤️💚💙 Ride the cyclone - 🌀🎢 Weezer - 💙🎸 Dandys world characters! ; Shelly - 🐚🦖 Vee - 💚📺 Dandy - 🌈🌸 Shrimpo - 🦐💢 Im done, Make sure to up-vote so you can find more people in your fandom!
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Total drama emojis 🏝️📽 🏕️🧔🏻‍♂️ 🙄💋 🤪🎍 🧑‍🎤😑 🏄‍♂️🕵️‍♂️
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⣿⣿⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠻⡉⠉⠉⠉⠉⠙⠛⠛⠻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣏⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡷⣞⣏⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣼⣚⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣠⣤⣶⣾⣶⣶⣶⣦⣄⡀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⢳⡭⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡇⢀⣠⣶⣾⣿⣿⣿⣿⣷⣶⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣗⢯⡞⣿⣷⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣯⢞⡼⣹⣿⡀⠀⠈⠁⠀⠀⠀⠀⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⢫⡼⢭⣿⡇⠀⠀⠀⠀⠀⠀⣀⣀⣄⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢧⢻⡜⣿⣿⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢮⡓⣮⢽⣿⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢲⡹⣆⣻⣿⠤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠙⠉⠉⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢺⡵⢳⡬⢽⣿⢭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⣀⠴⠒⠲⢄⠀⠀⠀⠀⠀⠀⡤⠒⠒⢄⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣸⣧⣷⡼⢽⡿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⢳⠀⠀⠀⢀⡎⠀⠀⣀⠀⠑⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢀⡏⠀⠀⢀⣼⡿⠀⠀⣇⠀⠙⠺⢄⠀⠘⣿⣧⠀⢸⣿⠿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣷⡀⠀⠀⠀⠀⣾⠀⠀⠀⠘⠛⠁⠀⠀⡟⠀⠀⡠⣐⢱⠀⠈⠉⠀⢨⢿⣄⠀⠈⢫⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠳⢤⣀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡟⠀⠀⠀⠸⣿⣿⣿⣷⠀⠀⡀⠀⠈⢇⠀⠀⠀⠀⠀⣀⠜⠀⠀⡸⢁⡇⢸⢤⣄⡤⠔⠋⠀⠈⠙⠢⣌⢏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⠓⠦⣄⠀⢠⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢿⣿⣿⡏⠀⣸⠁⠀⠀⠈⠑⠒⠒⠒⠊⠁⠀⠀⠀⠁⠈⠀⠃⠀⠀⠀⠀⠀⢀⣀⡴⠤⠈⢻⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣄⠀⠀⠀⠀⠈⠙⠺⢿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠉⠋⠀⠈⠀⠉⠉⠑⠒⠒⠦⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠖⠒⠒⠉⠉⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠙⠢⣄⡀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣄⠀⠀⠀⣠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠉⠲⢄⡀⠀⠀⠀⠀⠀⠉⠻⢿⣶⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⣀⠀⠀⠀⠀⠀⠈⠙⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⢿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣄⡀⠀⠀⠀⠀⠀⠉⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⢟⢾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⡛⠶⣤⡀⠀⠀⠀⠀⠀⠈⠓⠦⣤⣄⣀⣀⣀⣀⣀⠀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣠⡤⢴⡖⣺⢋⠇⣷⣨⠒⡬⣙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡀⠀⠀⠀⠈⠉⠉⠉⠉⠉⢉⣽⢫⠣⡝⢢⡅⢫⡓⣦⣀⠀⠀⠀⠀⠀⠈⠙⠲⢭⣍⠽⣉⠟⡍⢯⠹⠭⣍⠫⣽⠋⠉⠻⣌⠧⡜⣡⠚⡜⣰⠹⢯⡴⣡⢋⡜⢻⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣥⠊⣵⡌⢣⡜⢣⡜⣤⠋⡝⣦⡄⠀⠀⠀⠀⠀⠀⠉⢳⣮⡜⢸⡌⢣⠓⡌⣷⠁⠀⠀⠀⠈⢳⡜⢢⡝⢰⢣⠙⡜⣽⣦⢣⡜⢡⡎⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⢀⡾⡕⢣⡙⣤⢙⠦⡑⢎⠴⡑⢎⡱⣏⠝⣲⣄⡀⠀⠀⠀⠀⠀⠈⠙⠧⣞⡌⢣⣽⠃⠀⠀⠀⠀⠀⠈⠳⡧⠼⠥⠮⠱⢱⡸⡽⣷⠼⠛⠉⠉⠻⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⣾⢣⡙⢦⡑⢦⣉⠖⣩⢎⠲⣉⠦⣹⢇⡞⡔⡢⢏⡳⢤⡀⠀⠀⠀⠀⠀⠈⠙⢯⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠕⣻⡆⠀⠀⠀⠀⠹⣿⣿⣿ ⣷⠀⠀⠀⠀⠀⠀⣸⡧⠖⠛⠋⠉⠉⠉⠉⠛⠒⠧⣝⡆⣿⠌⡖⣡⠓⡎⢴⢩⣙⠳⢤⡀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠫⡜⣹⡇⠀⠀⠀⠀⠀⠘⣿⣿ ⣻⠀⡀⠄⠐⠠⣐⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡸⡑⢦⡙⣌⢣⠲⣌⢣⣄⠈⠓⢄⡀⠀⠀⠀⠀⠀⠉⠲⣄⡀⠀⠀⠀⠀⠀⢀⡼⢃⠳⡌⠽⣤⡀⠀⠀⠀⠀⠀⠹⣿ ⢽⣯⢹⡹⣝⣫⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢡⡙⢦⠱⣌⠲⡑⢎⡲⢌⡛⢦⣄⡙⠲⣄⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⠀⠀⠘⣧⢍⢲⡙⢦⢡⠛⣦⡀⠀⠀⠀⠀⢻ ⣻⡧⣏⣗⣣⠞⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠦⡙⢆⠳⣌⠣⡝⢢⡑⢎⡜⢦⣘⡏⠀⠀⠙⠦⣀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠀⠈⢾⢢⡙⢆⢣⡙⢬⢳⡄⠀⠀⠀⠘ ⣿⡿⣜⡾⣜⢯⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⣙⣌⢳⣌⣓⣌⣧⣘⣲⣘⣆⣟⣀⣀⣀⣀⣀⣈⣳⣤⣤⣤⠤⠤⠤⠤⠬⠷⠶⠾⠷⠾⠾⠶⠿⠒⠛⠓⠒⠒⠒⠒ ⠿⠷⠛⠞⠛⠚⠚⠓⠒⠒⠒⠒⠛⠉⠛⠛⠛⠙⠛⠛⠛⠋⠛⠉⠉⠋⠉⠉⠉⠁⠉⠁⠉⠉⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣸⣄⡀⠀⠀⠀⠀⠀⢯⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⡄⠉⢢⣀⣤⣶⣦⣾⣍⠓⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠱⢷⡀⠘⠁⣱⠟⡄⢉⣽⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡿⠋⠀⠀⢠⡟⢁⠇⢻⣻⣧⠤⣴⠶⢶⣦⠤⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⢌⡹⠋⠀⠀⠉⠀⠸⢷⣾⣿⣿⣿⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⡤⠒⠋⢹⠄⠀⠀⠀⠙⢿⡿⠟⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⢀⣴⣾⣿⣦⠀⠀⠀⠀⠀⠀⡼⠀⢀⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢰⠀⠀⣠⣿⣿⣿⣿⢿⣇⠀⠀⠀⣠⢞⠁⢰⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣸⡇⠀⣼⣿⣿⣿⣿⡟⡞⠘⠒⠒⠋⠁⠀⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢹⠀⢰⠁⢀⠟⣿⣿⣧⡧⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠸⡄⠸⣀⣀⡤⠞⠫⠥⡤⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠎⢹⠀⠀⠀⠀⠀⠀⣠⠤⣲⠶⠚⠉⢁⣠⣬⣿⣦⣄⡀⠀⠀⣀⣾⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⣺⢽⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡎⠀⡎⠀⠀⠀⠀⣠⢊⣵⠟⠁⠀⢀⣴⣿⣿⣿⣿⣿⡿⠟⠋⠉⢸⠘⣆⠀⠈⠙⢦⣄⡀⣀⡤⣾⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⡸⠀⠀⠀⢀⡞⠁⡾⠁⠀⠀⠀⢸⣿⣿⣿⠿⠛⠉⠀⠀⠀⡀⣈⢆⢈⣶⣦⡄⠀⠀⠉⠁⠀⣿⢽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢘⠀⡇⠀⠀⣠⠏⢀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣺⣿⣾⣿⣯⣋⠀⠉⠉⠒⠒⠒⠉⠁⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠳⠴⠞⠁⣠⠞⢸⠃⠰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⠟⠃⠀⠉⠓⠒⠲⠖⠒⠚⠉⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠳⠤⠤⠤⠚⠁⢠⠞⠀⠘⢾⡄⠀⠀⠀⠀⠀⠀⢠⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠘⡗⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠑⢄⠀⠀⢠⠞⠁⢈⡙⢦⡀⠀⠀⠀⠀⠀⢻⢻⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢳⢠⠏⠀⠀⠀⣧⠀⠙⢦⡀⠀⠀⠀⢸⠘⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⢠⡈⠉⣠⡄⢀⡠⠤⠼⠏⠀⠀⠀⢸⠉⢗⠀⠀⠙⠲⢤⣀⡿⠀⣼⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣤⣳⠀⠛⢁⠏⡴⠊⠉⡡⠂⣀⠄⠈⢳⡌⠓⢦⡀⠀⠀⠀⠑⢦⠘⢇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⢀⣠⣶⢧⡀⠈⠙⡇⠀⠸⣆⡇⠀⢸⠀⠀⡇⠀⠀⠀⣿⠀⠀⠙⣦⠀⠀⠀⠀⠳⡸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⣠⡾⠋⠀⠀⢳⠀⠀⣇⠀⠀⠙⢇⠀⠸⡀⠀⠻⣄⣀⠴⠃⣠⣴⠟⠉⣷⡀⠀⠀⠀⠘⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⠦⠾⠋⠀⠀⠀⢀⣸⠇⠀⠉⠳⣄⠀⠈⠙⠛⢻⡶⠚⠓⠒⠛⠛⠹⣦⣤⠞⠁⠳⢤⣀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⢫⠗⣰⠃⢰⠀⠈⢳⣦⡀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣸⡀⠹⣀⠈⠓⣦⠼⠏⠻⣦⠀⠀⠙⢆⠀⠀⠀⠀⣠⣶⠞⢒⣶⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⠤⠼⠟⠛⠁⠀⠀⠀⠈⢷⡄⠀⠈⢧⠀⠀⣴⣟⠁⡴⠁⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠈⢳⡀⠘⢾⣾⠀⠀⡠⠒⠚⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠻⣄⣰⠇⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡤⡀⠘⠧⠄⠀⠀⢀⣀⣰⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾⣿⡋⠉⠙⢿⣷⣤⣤⣤⣤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣄⢀⣴⣾⣿⣿⣏⣉⣉⣉⣿⣿⣿⣿⣶⣆⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣶⣶⣶⣶⣶⣶⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡆⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠟⠉⠉⠙⠛⠛⠛⠛⠛⠻⢿⣿⣿⣿⣿⣷⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⢀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣍⡙⠿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣜⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠛⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⠟⠛⠛⠉⠉⠙⠛⠛⠿⣿⣷⣼⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡏⠀⠀⠙⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠃⠀⠘⢿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠇⠀⠀⠀⠀⠹⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡏⠀⠀⠀⢸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⣴⣾⣿⢿⣿⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡟⠀⠀⠀⠀⠀⠀⠻⣿⡎⢿⣷⡀⠀⠀⠀⠀⢀⣼⣿⢿⣿⣿⠀⠀⠀⠀⠀⣿⡿⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⡟⠀⣸⣿⣿⣿⡿⠿⠿⣶⣦⣤⣄⣀⠀⢀⣿⣿⠁⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢻⣿⠈⢻⣷⡄⠀⢀⣠⣾⠿⠋⣼⣿⠇⠀⠀⠀⠀⠀⢿⣷⡄⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢻⣿⣇⢸⣿⠿⠿⢿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣁⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⠈⣿⣿⣾⣿⠿⠁⠀⢠⣿⠟⠀⠀⠀⠀⠀⠀⠸⣿⣧⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣾⣿⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠿⣿⣿⣿⡟⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣷⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣧⠈⠉⠉⠀⠀⠀⣠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⠋⠈⠛⢿⣶⣦⣄⣠⣴⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣆⠀⠀⠀⠀⢀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⢀⣤⣤⣴⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⣼⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⣸⣿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⢁⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣶⣄⣴⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣯⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⢉⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠋⠀⠀⠀⠀⣀⣠⣤⣾⡿⠿⠟⠛⡿⠛⠛⠻⠿⢿⣿⣦⣄⡀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣿⣿⣷⡄⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠿⣿⣧⣀⣀⣀⣀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⡁⠈⢻⣷⠀⠀⠀⠀⠀⠀⠻⣿⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠛⠻⢿⣿⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡿⠻⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⢋⣿⣿⡿⢿⣿⣦⣼⣿⡀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⢃⣾⡿⠟⠛⠛⠉⠙⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠋⠀⠀⠀⠀⠈⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠏⠀⠀⢻⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⢁⣴⣾⡿⠋⠀⠀⠙⢿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡿⠛⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢠⣾⣿⣿⡟⠁⠀⠀⠀⠀⢹⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣷⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢛⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠀⠀⠀⢻⣿⣿⣿⡄⠀⠀⠀⣰⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⡀⠀⠀⠀⠈⢻⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠋⠀⠀⠀⠀⠀⢻⣿⣿⣿⡆⢀⣾⣿⢻⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⡀⠀⠀⠀⠀⢸⣿⡄⢠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⠀⠀⠀⠀⠈⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠻⣿⣷⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⠿⠁⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣇⠀⠀⠀⠀⠈⣿⣧⢸⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢀⣸⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣷⣤⣤⣤⣤⣤⣾⣿⣿⣿⣷⣤⣄⠀ ⠀⠀⠀⣠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡏⠁⠀⠀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡄⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠸⣿⣿⣿⣦⠀⠀⠀⠀⣰⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇⣿⣿⠀⠀⠉⠻⢿⣿⣶⣿⣯⣽⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⠿⢿⣿⣿⣿⣶⣦⣀⠹⣿⣷ ⠀⠀⢰⣿⡟⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⡄⠀⠀⠀⠈⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⢿⣿⣿⣿⡄⠀⠀⣰⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣷⡈⠉ ⠀⠀⢸⣿⢣⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣟⣿⣧⠀⠀⠀⠀⠘⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠈⢻⣿⣿⣇⢀⣴⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀ ⠀⠀⢸⠇⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣄⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀ ⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡾⢿⣷⠀⠀⠀⠀⠀⢻⣿⣿⣷⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⡀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣼⣿⡀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣦⣴⣶⣶⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠸⣿⣦⣠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠸⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡏⣠⡄ ⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣄⢈⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⠛⠛⠻⠿⠿⠃⠀⠘⢿⣿⣌⠻⢿⣶⣤⣤⣤⣤⣴⣿⠿⠟⣸⣿⠇ ⠙⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⣀⠉⠉⠉⠉⠁⢀⣠⣾⡿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣷⣶⣤⣴⣾⠿⠛⠉⠀⠀⠀ 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🕸ᶠᶸᶜᵏᵧₒᵤ!🕷️╰┈➤🐸❓
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⡁⣀⠒⠄⢂⠄⠇⡁⠀⠀⠀⢹⠸⡞⡄⢻⠜⡭⣉⢻⣟⡿⣽⡻⣧⠀⠀⢀⡠⠔⠂⠉⠀⠀⠀⠀⠀⣸⡟⣯⡟⣿⠑⠎⡔⠣⠁⡀⠾⢱⢇⢎⡱⠌⡇⠖⡠⢢⠍⣧⠙⠀⠠⠀⢉ ⠔⢠⠘⠀⠀⠀⡃⠁⠀⠀⠀⠀⢧⢻⢰⡈⢇⠲⣁⠎⢿⣽⣚⡷⣽⣳⡎⠁⠀⠀⠀⠀⠀⢀⣠⣤⣴⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣔⠠⢈⡃⡝⢰⡡⠞⠁⠀⠀⠀⠀⠀ ⠐⠀⠀⠀⠀⠀⡇⠀⠀⡠⠂⠀⠈⡌⢇⢣⠘⡇⠰⢌⠸⣷⣏⣾⡱⣏⢾⣳⡤⣤⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡎⡅⠾⠋⠀⡀⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠰⠊⠀⠀⠀⠀⢸⡘⠌⣆⢹⡰⠈⠤⢹⣾⣱⡻⣜⣧⢳⡝⣧⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠔⡇⠀⠀⠀⠀⣠⡴⠕⠛⣏⢏⠈⢹⠿⣻⣷⠏⠓⠹⠗⠚⠗⠿⠞⠛⢿⣿⣿⣿⣿⣿⣿⣿⠏⢀⠊⠹⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡠⠊⠀⡤⢛⠟⠂⡈⢁⠔⢲⣿⡇⢰⡶⢖⠦⢖⠗⢌⠠⢸⣿⣿⣿⣿⣆⠀⠀⡔⠁⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⡠⠊⠀⠀⠀⡄⢘⠀⣤⡇⡌⣤⢠⣿⣿⠛⠛⠚⠛⠛⠚⠓⠓⠻⣿⣿⣿⣿⣿⣧⡌⣠⣶⣷⢦⡀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⣞⠀⠀⠀⠀⢰⠃⠈⠢⠽⠁⠉⠉⡙⢹⣿⠀⣿⣯⣽⣯⣿⠛⠋⠙⣿⣿⣿⣿⣿⣿⣻⣟⣽⡿⣿⡿⢻⣽⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠫⡁⠀⠀⠀⠘⢄⡠⡄⢀⢄⠀⠊⠀⡜⣿⣸⣿⣾⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⢯⣌⣉⣩⣠⣥⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⡀⠀⠀⠀⢴⠃⢸⢷⡿⠀⡰⢋⢁⡤⠴⠚⣿⣿⣿⣿⠀⠀⠈⠻⠿⣿⣿⣿⣿⣿⣯⣿⣟⣳⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠠⠀⠤⠄⣈⠒⢦⠔⢊⡀⠀⣉⣠⠞⡀⠆⡈⠤⣴⣶⣿⣿⣿⣿⡞⢳⡶⠖⣶⡶⣦⢧⣠⠿⠴⠟⠚⠻⠧⠥⢠⣼⢶⣞⣯⣟⢿⣳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠋⠀⠀⠀⢀⠈⡅⡎⠀⢬⢣⠏⢅⠎⡐⢀⠆⡐⠐⠦⣬⠿⠿⠛⠋⠀⠀⠀⠴⢿⣳⡿⣩⠤⡤⣄⢀⡴⣲⠶⡤⢿⣽⣫⣞⢷⣞⡯⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⡄⠀⠂⠀⡀⢇⢱⡧⡀⣸⡘⡇⡞⠠⠌⣀⠢⠐⣡⣖⣞⠤⣒⠤⢤⣀⠀⠀⠀⢀⠀⠙⢧⣿⣵⣫⢗⣽⣧⣿⣽⣛⣾⣳⡽⢯⣾⣟⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠲⢤⡁⠦⡴⠊⠘⡇⠉⡽⢁⡿⢀⠒⠠⠄⢂⠡⣿⠺⢍⣉⣉⠼⢣⣒⡟⢦⠀⡸⠀⠀⠈⣿⣳⢿⣾⣻⣞⡷⣯⣟⡿⣿⠛⠉⢿⣾⣹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠤⠤⡇⠀⢸⠀⢰⠁⢸⡇⠄⡘⠠⠘⠠⣘⣧⠠⡴⢧⣠⣤⣯⣭⣂⣌⡋⡇⠀⢀⡼⢿⣽⣿⣾⣷⣯⣟⣷⢯⡿⠃⣀⠤⡴⢳⣯⣟⣷⡀⠀⠀⠀⢀⣀⣀⣀⠀ ⡀⠀⡀⢀⠀⣀⣸⠀⢸⡀⢀⠏⢠⠇⣀⡇⡇⡐⢈⠰⢁⠡⠘⣇⠳⢄⣀⠄⡙⠿⣿⠟⠡⢀⣇⡤⢊⡐⠠⠹⣿⣿⣿⣿⣿⣿⣏⣀⣀⣿⡘⣥⠫⣽⣾⣿⣿⣄⣀⢰⣿⢀⠀⠠⠀ ⠀⠁⠀⠀⠀⠀⣹⠀⢸⣏⣏⣰⡏⢉⠇⠀⣷⢀⠁⠆⡰⠈⡰⢹⠀⢀⡾⢀⠰⢀⠀⢰⠀⢾⡿⠎⡀⣀⠱⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢹⣰⡶⢷⣾⣿⣿⣿⣇⣀⣈⣿⣆⡶⢱⠶ ⠀⢀⠀⠄⣀⣼⢿⡆⠀⣯⢽⡟⠢⠬⠤⠤⢺⡆⠌⡐⠠⠑⡀⢆⣧⣿⣷⣶⣶⣦⣬⣤⡾⠋⡐⠠⠁⠄⢂⢥⣿⣿⣿⣟⣿⣻⣷⣦⣄⡸⣇⡟⣏⣾⣿⣿⣿⠷⠖⠶⢲⠲⡜⡡⢞ ⡚⠐⡋⢒⢺⡟⢮⡇⠀⣧⡿⡟⢄⠀⠀⠀⠀⠹⣆⢁⠂⠡⢰⣾⣿⣿⣿⣿⣿⣿⢻⢿⣿⣦⠠⠁⡌⠰⣨⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢿⣿⣇⣎⣹⣌⣣⣱⣌⣱⣹ ⠇⠂⠁⠂⢸⡝⣎⡇⠀⢿⠁⣽⡄⠀⠀⠀⠀⠀⠹⣆⢈⣥⣿⣿⣿⣿⣿⣿⣌⣿⣷⣾⣻⣿⣆⢡⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣷⡤⠦⠴⢤⢢⠸⣧⣟ ⡀⠀⠀⠀⢸⣝⠲⣯⠀⠈⢄⡰⠋⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⡟⠋⠉⠛⠻⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠦⠬⡵⠿⡭⢥⣻ ⠆⡀⠤⢀⣸⢮⡝⣎⡇⡂⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣀⣜⠛⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠿⣭⢯⣽⣷⣾ ⢧⡭⡬⣕⣺⢧⣚⣵⣷⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣙⣮⣷⡝⣮⠹⡭⣟⢻⣛⢿⣿⡏⠀⠀⠀⠈⣡⣔⣠⣀⣀⣀⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢸⢾⡿⣷ ⠀⠀⠀⠀⢸⡳⡜⣾⢾⠁⢀⡀⠀⠀⠀⠀⠀⠀⢠⡿⢿⣿⣿⣿⣿⣶⢯⡱⣏⣳⣼⣾⣿⣿⡄⠀⠀⠀⠈⢣⡀⠐⠤⡀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣸⡼⠀⠀⢸ ⠀⠀⠀⠀⣿⡱⣝⡯⢾⣀⣿⠀⠀⠀⠀⠀⠀⠀⣾⣹⣿⣿⢿⣿⣿⢹⡲⢭⡷⣩⢟⣿⣿⣿⣷⠀⠀⠀⣆⢸⠈⠲⡄⠈⠒⢄⡀⠀⠀⠀⢸⠘⣿⣿⣿⣿⣿⣿⣿⡇⢼⡇⡆⠀⢸ ⠀⠀⠀⠰⣯⡕⣾⣯⣹⡏⢸⠀⠀⠀⠀⠀⠀⢺⠶⣍⠒⠯⣾⣹⣧⣳⣙⣾⣳⣱⢺⡟⣏⣟⡿⢇⡀⢀⢟⡞⢦⠀⠈⠑⢄⠀⠈⠒⠄⠀⠫⢼⣿⣿⣿⣿⣿⣿⣿⠇⠀⢹⠃⠐⢸ ⠀⠀⠀⠀⡇⠉⢹⠀⢠⠀⠀⢷⡀⠀⡀⠀⠀⠸⡂⢉⠉⡉⠳⡤⠲⡭⡄⠀⣝⡩⠯⢭⠽⠒⡒⡞⠃⡜⠣⡀⠀⠑⢄⠀⠀⠑⠢⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠀⠂⢼ ⠀⠀⠀⠀⡇⠀⢠⠀⠸⡀⠀⠀⠙⠦⣰⡄⠀⢠⡇⢂⠡⠄⢡⠀⡽⠀⠀⠀⢈⣧⠐⡀⢂⠡⠰⣧⠌⠀⠀⠈⢄⠀⠀⠑⢄⠀⠀⠈⠢⡀⠀⣿⣿⣿⣿⣿⣿⡟⠠⡀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⡇⠀⠘⢄⠀⠈⠐⠠⢄⡀⠀⠈⠲⡞⠀⠆⡐⠨⠀⣾⠁⠀⠀⠀⣼⣸⠅⡐⠠⢂⠁⢲⠀⠀⠀⠀⠀⠢⠀⠀⠀⠁⢀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣇⠀⠀⠁⠀⠀⠀⠈ ⠀⠀⠀⠀⣧⠄⣀⣀⣈⣁⠲⠤⢀⣈⣰⠄⢠⠳⠬⣐⣠⣁⣂⣿⣾⣶⣤⣤⣼⣿⡧⢤⣁⣢⠬⠼⡄⠀⠀⠀⠀⠀⠁⡀⠀⠀⠀⠠⡀⠀⠀⡿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠙⠒⠂⠤⠤⠤⠤⠤⠤⠜⠀⢀⠜⠀⠀⠀⠀⠀⢠⠉⠉⠉⠉⠛⠛⠙⣧⡀⠀⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⠈⢀⠀⠀⠀⠈⠢⠀⠙⠾⢿⣿⣿⣿⣟⣿⣯⣿⠿⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⡍⠐⠒⠒⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⢀⠈⠉⠒⠒⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣴⣶⣶⣶⣶⣶⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠐⣤⢠⡄⢰⢠⡄⢢⡄⢢⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠂⡄⡆⢰⠀⣦⠐⢰⠀ ⢌⡁⠅⢥⠀⡄⢠⠈⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⡉⢄⡉⠤⡉⢤⠡⣁⡉ ⣀⢈⡌⢧⡀⢉⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡔⢈⢃⠙⠒⠓⢂⠂ ⢌⠒⣧⣞⡻⣷⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣧⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡔⢊⡜⣡⠋⣆⠃ ⢌⣣⣴⡛⢿⣿⡟⢠⣿⢿⣽⣿⣿⣿⣿⣿⣯⠙⠛⠛⠛⠻⣿⣿⣿⡿⣝⡞⡗⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⢒⢡⡣⢔⣡ ⠢⡜⣙⠻⠿⣿⠁⢸⣿⣻⣯⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣷⡻⣜⠾⣱⣛⣯⣿⣿⣿⡉⠙⠛⠛⠻⣿⣿⣿⣿⣿⣧⣷⣾⡑⢺⣿ ⢱⡘⠤⢋⠧⣿⠀⠈⣿⣯⢿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠷⣭⣏⣳⣽⣾⣿⣿⣿⣿⣶⣤⣴⣾⣿⣿⣿⣿⣿⣿⣽⡿⢻⣿⡋ ⡡⢎⡱⡉⢜⣿⠀⠀⠘⣿⣟⣾⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⢟⡴⣛⢶⣳⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣅⣺⣇ ⡑⢦⢡⡙⢢⣿⡆⠀⠀⠈⠻⣾⡽⣷⣫⡿⣟⣿⣽⣻⢯⣷⡿⣟⡳⣏⢾⣹⢮⡿⣯⣿⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠀⠘⣷⠛⣿ ⠜⡌⢦⢉⠆⣿⣷⡀⠀⠀⠀⠈⠙⠳⢿⣿⣽⣾⣯⠿⠟⢋⢽⡾⣱⢏⡾⣹⢾⣹⠏⢷⣟⣿⣺⣟⣻⢿⣿⣻⡽⣟⣾⣽⡟⠀⢠⣏⣶⡇ ⡜⢌⠦⡩⠜⣿⣿⣿⡶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡹⣎⢷⡹⢿⣴⢫⢶⣽⢻⣄⠉⠓⠿⣾⣽⣿⣷⡯⠿⠋⢡⡿⠀⢀⠎⣤⡿⡀ ⣸⣌⠲⣡⣋⣿⣿⣿⣿⣿⣚⢷⣶⣦⣤⣤⣶⣶⢻⡷⣞⠳⣯⣷⣿⣿⣶⣿⣎⣳⢻⡾⣶⣀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡑⢲⣷⣾⢏⡱⠀ ⡘⣿⣶⣡⠒⣿⣿⣿⣿⣿⣿⣧⡞⣖⡳⣼⣓⢮⣳⢳⣮⣿⣿⣿⣿⣿⣿⣿⣿⣛⣭⢳⡝⣶⢛⡶⣦⡤⢤⣲⣾⠿⠹⠣⣵⡿⣃⠎⡴⠁ ⡑⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⡹⡞⣧⢟⠷⣿⣾⣷⣿⣿⣿⣿⣿⣟⡧⡽⣮⢽⣲⡻⣞⣵⣾⡿⣻⢱⡭⢓⢱⡿⡱⢌⠚⠤⠃ ⠣⣄⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⣟⣼⢧⡛⡿⣿⠿⣿⠿⣿⡻⢼⣣⡿⣜⣧⣧⣿⢿⣟⣿⢇⣧⢿⡟⣿⢇⡣⠜⡛⠼⠀ ⠱⣄⠣⢝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⣾⣿⣽⣯⣿⣾⣷⣿⣿⣿⣿⣿⣯⣶⣽⡻⣟⡯⣄⣾⢏⠢⡑⢎⡡⢓⠀ ⡑⠦⣉⢆⡚⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣿⣿⢟⣼⣣⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⢿⣧⡽⣾⣿⡑⣊⠱⡘⢤⡓⠬⠐ ⢌⡓⡌⠦⡘⠆⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣿⣿⢠⠂⠍⡌⠜⢿⣿⡟⣭⢿⣻⢿⣿⡾⣿⢷⣻⣎⢷⣻⠧⡘⢤⢣⠙⣤⢊⠵⠀ ⠢⠜⡐⠣⠜⢉⠸⢌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯⣿⠆⣱⣿⣾⣿⡗⠙⢿⣧⢟⡽⢿⣿⠿⣽⣿⡽⣺⣽⠋⠒⠍⠆⠦⢉⠔⠎⠒⠀ ⣀⣀⣐⡀⣄⢂⡠⣀⣀⣈⡙⣿⣿⣿⣿⣯⢷⢞⣛⣧⣿⢈⢌⣑⣾⡿⢈⣘⣼⣿⣮⣟⣺⣼⢯⡽⣿⣿⠟⠃⠀⡄⡐⢀⠀⡀⡀⠀⠄⠀ ⢀⡀⢀⡠⣀⡀⣀⣀⢀⡀⡀⠀⡉⠛⠿⣿⢪⡝⣮⢝⣿⠌⡐⢼⡿⢃⣤⣾⣿⠿⠛⠁⠀⠉⠉⠉⠙⠿⠀⠀⢩⠀⠀⠂⠁⠀⠁⠌⠈⡁
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⢵⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⡀⠘⢿⣶⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣂⠀⠀⠀⢙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡏⣰⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣦⢹⣧⠀⠀⢀⣽⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠯⢤⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣋⣿⣇⣀⣾⠳⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠘⠿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⡙⣷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⢸⠗⠀⣿⡿⢃⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡖⣄⠀⠀⠀⠀⠐⠉⢿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠳⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣧⣿⠀⠀⢴⣿⠻⣮⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣷⡘⢿⣆⠀⠀⠀⠀⠀⠹⣷⡤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⣟⣵⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⠿⢟⠹⣿⢁⣰⠋⣿⢠⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡟⠂⣻⣳⡀⠀⠀⠀⠑⠼⣿⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠂⠀⠁⢻⣿⠛⢰⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣿⣛⠛⢿⠀⠀⠀⠀⠈⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⠀⠀⠀⠸⢿⣸⣯⠀⣿⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢦⣸⡇⠻⠛⠛⠁⠀⠀⠀⠀⠀⠠⣿⣷ ⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡒⢳⣸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⣰⡟⢚⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃ ⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⢸⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠃⣀⣠⡶⡏⢡⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠘ ⠀⠀⠀⠀⣰⡟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⠃⠻⣷⡀⠀⠀⠀⠀⣤⣄⡀⣤⣀⣀⠀⠀⣀⢀⣀⣴⣦⡒⣶⣶⠿⠛⣢⣤⣶⢀⣴⣀⣄⣀⣾⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠆⣠⡾⣋⣤⡾⢟⠻⣃⣵⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣾⠏⠀⠀ ⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣦⡀⠘⣿⣄⠀⢢⣤⣤⣉⡉⠛⠛⠛⠻⠟⢻⣋⣧⣼⣷⡻⠿⢓⠲⠛⣋⣯⡾⠿⠛⠛⠛⠀⠋⠀⠀⠀⠀⠀⠸⠿⣦⣤⣴⣤⣤⣤⣴⠖⢟⣋⣽⠾⢿⣿⣷⣶⣶⣴⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠟⠁⠀⠀⠀ ⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⣹⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠘⠿⣦⣄⡈⠳⣦⡤⢌⠉⠙⣉⣻⣷⠿⠛⠋⠋⣡⣾⠛⣿⣦⠈⠉⠈⠉⠁⠀⠀⠀⠀⠀⡄⠀⠀⠀⣤⠀⠀⠀⠀⠈⠹⣶⡶⣤⣦⣼⣾⡛⣉⡁⠀⠀⠀⠀⠀⢀⣠⣿⡾⠃⠀⠀⠀⡄⠀⣀⣠⣾⠟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⣀⣤⣼⠶⠞⠻⠛⠛⠛⠛⠷⠶⣶⣶⣶⣦⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⣠⣿⠉⠀⠀⠈⠉⠛⠷⠶⣶⣤⣴⠾⠛⠉⠀⠀⠀⣠⣾⢋⢙⣿⣟⣻⣗⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠀⢀⣰⡿⡃⠀⠀⠀⢰⡟⠁⣤⡿⠉⠉⠉⠙⠛⠛⠷⣶⣶⣶⠛⠛⠋⣁⡀⠀⠀⢀⣸⣿⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⠀⠀⠀⠀⢀⣤⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠶⢶⣦⣌⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣀⣀⣀⣠⣴⠾⠛⠀⣠⢾⢑⣿⢿⣿⠀⠀⠀⠀⠀⠀⢠⣾⠇⠀⠀⣰⡿⠅⠀⠀⠀⠀⠀⠀⣿⢩⣿⠳⠿⢶⣾⣤⣤⣤⣀⣀⣀⣠⣴⡾⠻⡅⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡏⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⣀⣤⡿⠉⢨⣿⣍⣹⠃⠀⠀⠀⠀⠀⣠⣿⡏⢀⡀⢠⣿⠁⢀⢴⡄⠀⠀⠀⠀⠟⢈⣿⣀⠀⠀⠀⠀⠈⠉⠉⠉⠉⢉⣡⣴⢟⣻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣤⣤⣤⣴⡾⠟⠛⢁⣠⡴⠫⣠⡟⠃⠀⠀⠀⠀⠀⢀⣾⣳⠃⠀⠀⣾⠏⠀⠠⢺⡇⠀⠀⠀⠀⠀⠈⢹⣟⠛⠛⠶⢶⣷⣤⣴⣤⣶⠟⠩⣾⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⣿⣳⠄⢀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡦⠤⢶⣦⣄⣤⡀⠀⠈⠷⢬⣤⠀⠀⠀⠀⠀⠀⠀⠹⣥⣀⣀⣀⣠⣷⡶⠟⠋⣠⡾⠋⢀⡀⠀⠀⠀⠀⢠⣼⣇⣿⠀⠀⢲⡿⢀⠀⢰⣼⡧⢦⣀⠀⠀⠀⠀⠈⠙⠿⣶⣶⣦⣀⣤⣤⣬⣁⣠⣾⠿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⢷⣦⣿⢛⢺⣷⡛⢳⣿⠚⡏⡛⠃⠀⠀⠀⢀⣀⣀⣀⡀⢀⣤⣈⣽⣯⣭⣥⣿⡿⠿⠷⣶⣦⣼⣍⣡⣆⢀⣀⡀⠀⠀⠀⢸⡛⢛⢉⠉⠀⣠⣼⠟⠋⠀⠐⠛⠁⠀⠀⠀⢠⣼⣟⡁⠟⠀⢠⣿⣧⠈⠀⠸⣿⣷⡾⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠈⠉⠉⠉⠉⢹⣄⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠙⠋⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠙⠛⠉⠉⠉⠁⠀⠀⠀⠀⢰⣾⢷⣼⠋⠉⠉⠙⠛⠛⠛⠻⠿⠾⠿⠿⠿⠿⢾⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡏⠸⠋⠀⠀⠘⠋⠹⠉⢷⠄⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⠏⣹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⡿⠈⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠸⣏⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⣄⣤⣤⣄⣠⣄⣄⣤⣤⣠⣤⣤⣤⣤⢤⣤⣾⠀⣠⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⡛⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡇⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣉⣉⡩⠍⠉⠙⠉⠉⠉⢩⣤⣤⣤⣴⠦⠶⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠶⣶⠦⣤⠶⠶⠦⣨⣿⢩⣼⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠈⢳⡈⠿⡆⠐⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⣀⢀⣀⣈⣩⣿⣴⣶⣦⣦⣴⣶⣶⣦⣦⣶⣤⣤⣶⠷⠶⣶⣶⣶⢶⣶⣶⣶⡶⣷⣶⣶⣶⣤⣦⣦⣤⣤⣤⣤⣼⢿⠟⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⣿⣿⣭⣏⣿⣿⣿⣿⣿⣴⠞⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠽⢟⣻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣸⣷⣶⣿⢀⡠⢄⣄⣀⣀⡠⣿⡦⡴⠿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡻⣿⣿⣿⣿⣿⣿⣿⣿⣻⡟⣋⣼⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⡩⠀⠀⠀⣠⡶⠖⠛⡉⠁⠀⠉⠼⢻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⡯⡀⠛⠛⣿⣿⣿⠁⢨⣟⣻⡄⣠⠎⠁⠘⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣯⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⣠⠴⢚⣡⠴⣠⠖⡏⠀⡄⠈⠀⡠⠐⢀⣤⠀⠘⠩⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠧⠀⣰⠋⠀⠻⣶⠿⡏⣁⣿⡃⠤⠤⢼⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣵⣿⢿⣽⣯⢿⡽⣯⣟⢿⡽⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣿⣿⣿⠟⠉⢛⠏⠁⣈⣿⣿⣞⣿⣿⡿⠿⠿⠿⠿⣿⢿⣿⣿⣿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⢀⡠⢾⣿⣿⣏⣴⠞⣡⠞⢀⡜⠙⡔⠁⣀⠠⣿⡿⠀⠀⠀⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣏⢳⣤⡁⠀⠀⠀⢯⣼⣥⣟⠉⣦⢀⠀⡸⠀⣿⣿⣿⣿⣞⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣯⣿⣷⣻⢯⣟⣷⣫⣟⢾⡹⢧⣻⢱⢫⡝⡻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣷⣾⡀⡜⠹⣿⣹⣞⣯⡷⠀⠀⡠⠚⠑⠠⡀⠙⡿⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢀⣴⡯⢛⣽⡯⢷⣻⢋⢾⠋⣠⡏⢠⣞⣀⣼⠇⡀⠉⠀⠀⠰⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⣷⣼⣧⣾⣿⢢⡠⠊⠁⠸⣇⣸⣡⠞⣓⣚⣳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣾⣟⡿⣞⣷⡳⣏⡷⣏⢷⢣⡛⢦⢭⠱⣉⠖⡠⢌⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠿⣿⢷⣧⡀⠙⠛⣟⣧⣸⣶⣎⡈⠑⠢⠀⠙⢄⠈⠢⣼⣿⣿⣿⣿⣿⣿⣿⣿⠟⡁⠀⣠⡾⠋⢠⣾⠿⢲⣾⣷⢡⠃⣴⡟⣿⣿⣿⣯⣼⢲⠁⠀⠀⠀⠀⡇⢾⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢳⣿⣿⠿⣿⢿⣯⣝⠲⠤⠠⠤⢼⣶⣿⣿⣿⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣻⠾⣝⣻⡼⣝⢮⢳⣹⣮⣆⠏⡴⢎⠱⡀⠆⡁⠃⠄⠂⠀⠈⠉⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣎⡳⣜⢧⡹⣿⣶⣴⣿⣹⣿⣯⣿⣌⢢⣀⣱⣄⠀⠢⡀⠙⠻⣿⣿⠟⣿⣿⠟⣡⠞⠀⣼⠟⠱⣿⠏⠁⠀⣾⣿⣯⣼⠏⣼⣰⣷⣿⣏⡀⡎⣼⡄⠀⠀⠀⠀⡇⠉⠙⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠟⠁⡀⣈⠿⣿⣤⣼⡿⣽⡛⠂⠤⠤⡶⢽⣿⠿⢋⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣯⣞⣿⣟⣿⣿⢚⡡⢊⠔⣁⠂⠡⢈⠀⡀⠀⢀⣴⠞⠉⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⢿⣷⡉⢿⣻⢿⣛⣿⢛⣏⣿⣷⡻⣿⢿⣿⣿⡏⠐⡀⠘⣄⣧⠟⠁⣼⣿⣫⣾⢃⡆⢀⡏⠀⡰⠁⠀⠀⠸⠻⣡⣿⠋⠠⣿⣿⣽⣇⠀⣿⣱⢿⡇⠀⠀⠀⠀⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢏⡅⠊⢠⣞⡵⠊⠉⠢⢜⡿⣟⣛⣀⡀⢿⣶⡟⠀⠀⠂⢀⣾⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣾⣿⣤⣧⣘⡐⢊⠄⠌⡐⠀⢂⣠⣴⡟⠁⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣯⠻⣿⣿⣦⠿⢿⣻⡧⠖⠻⠿⠛⠁⠈⢻⣷⠿⣦⣄⣰⡴⠻⠑⣴⣾⣿⣿⣿⣧⡟⠀⢸⠃⢰⠃⠀⠀⠀⠀⠀⠁⢻⣆⡰⠉⠻⢯⣿⢷⣿⣇⣿⢧⢰⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠎⠀⣼⠟⠁⠀⠀⠀⠀⢀⣿⣿⣿⣟⣿⣿⡿⢀⠆⠀⠀⠈⠉⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⣮⣄⣐⣴⣿⣿⣯⡤⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠴⣙⣷⣇⡈⣿⣳⡄⠻⣀⠀⠀⠀⠀⠀⣠⠊⢽⠓⠛⣿⣿⠓⣴⢻⣳⣿⣿⣿⣿⣿⢠⠃⣼⠁⡏⠀⠀⣠⣤⣾⠭⠶⢎⣻⣅⡀⠀⠀⠀⠈⠋⢹⠿⣼⡸⠀⠀⠀⠀⠀⠀⠠⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣼⠃⣠⠞⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡾⣽⣷⣾⣀⣠⠄⠀⢠⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠽⠟⠁⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⠃⣈⣶⣿⠿⣋⣿⢿⣷⣿⣷⣎⡇⠀⠀⠀⠀⠀⣠⣾⡥⢤⣫⠉⠑⠛⠒⠃⠼⣿⣿⣿⡏⡿⢰⣻⢸⠁⠀⢀⣿⣿⣿⣦⣤⣤⣤⣶⣿⣷⣶⠖⠀⠀⠈⠀⢹⣷⡄⠀⠀⠀⠀⠀⠸⣷⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⠃⡰⠃⠀⠀⣰⣶⣤⣀⣀⣾⣿⣿⣿⣿⣿⣿⡗⣿⣽⣿⣷⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠹ ⡷⣿⣿⣿⣿⣿⣿⣟⣿⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⣿⣿⣿⢿⡽⣷⡇⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣇⣼⢯⣿⣇⢲⣿⣿⡆⡂⠻⡟⠉⠀⠀⣠⣄⣠⣿⢯⣤⣤⠀⠈⢳⣄⢀⣤⠀⢀⢼⣿⣿⣿⡇⣿⣿⣾⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⡄⢿⣿⡽⣿⣿⣿⣿⣿⣿⣿⣿⠙⣷⡼⠁⠀⠀⠀⠈⠙⠛⠛⣹⣿⣿⣿⣿⣿⣿⣿⡷⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠻⠟⠃⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⢿⣿⣿⣟⣿⣿⣿⣻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣻⣏⣼⡏⡅⣿⣿⣿⣷⡁⠀⢸⣿⡀⣼⣿⣻⠋⡠⠁⠈⠉⠀⠀⠀⠙⢾⣿⣷⡁⢻⣿⣿⣿⣷⣿⣿⡏⡄⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⡀⢸⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⡿⠦⢄⣀⣀⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⠟⣩⣷⠿⠻⢟⡟⠛⣿⣿⣿⡿⠛⠁⢀⣠⣤⡤⠔⠂⠠⢁⠂ ⣿⣿⣿⣿⣄⣸⣿⣿⣯⣿⣟⡷⣯⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣷⣯⣿⣿⣿⣾⡇⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⡟⢻⣧⣿⣿⣿⡇⣺⣿⣿⣿⣿⣧⠀⢸⣧⣼⣿⣳⣿⣯⣤⣶⣿⡏⠀⢠⠔⣊⠉⠙⣇⠜⢁⣿⣿⣿⣿⣿⣿⣷⠁⠀⠀⣿⣿⣿⣿⣿⣿⠿⢿⠟⠀⠀⠀⠀⠀⠀⠀⣰⠞⢻⠆⠀⡀⠀⣷⡈⣿⣿⠟⣋⡁⠀⠄⣿⢱⣿⣾⣿⡻⢅⠀⣠⣤⠀⠀⢞⡼⡻⢁⣿⣿⣿⣿⣿⡿⢁⡿⣡⠃⠀⣠⠞⠹⡍⣷⣼⣯⣶⣶⣾⣿⡻⣽⣥⢦⣤⣥⣄⡀ ⣿⣿⣿⣿⣿⣿⣿⣽⣟⣿⣾⣿⢿⣿⣻⢾⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢷⣻⣿⣿⣧⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣇⣾⢻⣿⣷⢾⣇⣿⢿⣿⣿⣿⣿⣷⣼⣿⣿⣷⣟⣾⣿⣿⣿⣿⡇⣀⣴⡛⠉⠀⠁⢨⣷⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠹⣿⠿⠋⠁⢀⡴⠋⠀⠀⠀⠀⠀⢀⣤⡾⣍⡶⡇⢰⠀⣷⣠⣿⡟⠋⠱⠛⠋⢁⠀⠆⢹⣷⣻⣿⣝⠇⢀⡉⠙⠢⠤⣴⣯⡔⢁⣾⡿⣿⣿⣿⣿⢳⡏⣷⣯⡔⠊⢡⣀⠄⣿⢿⣿⣿⣿⣿⣿⣷⣿⣶⣯⣽⣟⣿⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⢿⣿⣿⣿⢩⠶⡬⣙⣿⣿⣿⣿⣿⣷⣯⣿⣽⣿⣻⢿⡀⠀⠀⠀⢀⣾⣿⣯⣿⣿⣿⣿⣼⣿⣻⡿⣟⣿⣦⢻⣿⢿⡏⣽⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⠉⢹⣿⣻⣶⣤⣊⡍⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⠒⠤⠒⠋⠀⠀⠀⠀⣀⣤⢶⣿⢣⣷⣿⣿⣇⢸⣧⡿⠿⠋⠀⠀⠀⢀⠐⢀⠂⣠⠄⠹⣿⣿⣏⠳⠼⣋⣀⣤⣾⣿⢟⣴⣿⣿⣟⣿⣿⣿⣟⣸⡟⣿⣿⢿⣀⣼⣏⠀⣾⠄⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⡽⣯⣿⣿⣿⣇⠯⣞⣴⣷⣿⣩⢻⣿⡿⣿⣿⣿⣟⣧⣻⣿⡇⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣌⢻⣿⣿⣿⣿⢿⡛⢧⢳⡸⢁⡇⠐⠀⣂⣀⡤⠜⠻⣏⣩⣼⣿⡟⢛⠹⠏⣀⠤⢋⡝⠉⠉⠙⢥⢉⡉⠉⠛⢿⣿⣄⡀⢀⠀⣀⣀⣤⣤⣴⡾⠛⠉⠀⠸⣷⣿⣿⣿⣿⢿⠟⠛⠃⠀⠀⠀⡀⠂⠀⣈⣤⢞⣡⠖⠋⠀⠀⠈⠉⠉⢉⣽⠟⢉⣼⣿⣽⡓⠈⠻⣿⣿⣾⣿⣿⡷⠾⠋⠙⣟⡹⣏⣿⡿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣽⡾⣽⡿⣿⣿⣿⣿⣷⣿⢿⣽⡟⣙⣹⣙⣿⣿⣿⡏⢿⣿⣽⡳⣷⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡘⡏⢧⠘⢯⠁⠸⠖⢛⣉⡭⠤⠖⠚⠉⣝⣿⣿⠝⠃⠀⢉⡉⠄⣰⠏⠀⠀⠀⠀⠀⠠⡀⠀⡠⠊⢉⢻⣿⣿⣿⣿⣿⠛⠋⠋⠀⠀⠀⠀⠀⣿⣿⣿⠿⠚⠀⠀⠀⠀⠀⣴⣦⣶⡾⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⣠⣾⣧⣶⣿⣿⣿⣿⠟⠳⠦⣄⡙⢾⣽⣻⡇⠀⠤⡄⠀⢹⡏⣸⠛⣿⣿⡿⡿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣟⣾⣿⢿⣹⠽⣿⣿⣿⣿⣯⣿⣿⣋⣛⣼⣿⣿⣿⣿⣷⢪⡻⣿⣿⠿⠛⠛⢋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⢧⢸⠇⣺⠛⠉⡀⢀⠠⠀⠀⠂⠈⣿⡇⠀⠀⢎⣻⡠⠔⠁⠀⠀⠀⠀⠀⠀⠀⣈⠞⠹⣿⣿⣏⡙⣿⣿⣿⠏⠐⠖⠦⣄⠀⠀⣠⡟⣽⣿⠅⠀⠀⠀⠀⢀⡴⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣟⣹⠛⠀⠀⠰⠛⢿⣿⣿⣿⡀⢸⣿⣿⠞⠸⡷⠛⠀⢿⣿⣿⣿⣦⣄⣀⣀⠐⠌⡉⢙⠻⠿⣿ ⣿⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣞⣿⣿⣿⣲⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣿⢿⣇⠀⠀⠀⢈⣱⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⡿⠀⣏⠀⠄⡀⠄⠠⠀⠂⣡⠴⣺⠁⠀⣀⠴⠋⠀⠀⠀⢀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⡌⠈⠿⢹⣿⠋⠀⠀⢠⡆⠀⢙⡾⠋⠀⣼⠃⠀⠀⠀⢀⡴⢋⣴⡁⠀⠀⠀⢀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣁⣀⣤⡴⢂⣴⡿⣿⣿⣿⣷⣄⠉⢁⣠⠞⠓⠀⣀⣤⣿⣿⣿⣮⣹⣟⢯⡷⠦⢈⡐⢢⡁⢻ ⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢾⣿⣿⣧⡝⣮⣶⣌⡱⢸⣿⣿⣿⡿⢟⣽⣯⣿⣿⠿⠋⠹⣆⣀⣀⡼⠛⣹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠑⢠⣿⣷⣶⣤⣤⡴⣖⡿⠗⠚⠙⢚⣯⠀⠀⠀⣀⣀⠀⠀⠀⠀⢀⣤⠞⠓⠹⣿⠗⢠⠁⠀⠀⠊⠁⠁⡀⠀⠘⢿⡤⠃⢾⣿⣶⡏⠀⠀⠀⣠⠞⢀⠞⢿⣿⣤⠀⠀⣿⡀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠋⣰⡯⣿⣟⣿⣾⣿⣯⣮⣵⡶⡟⣡⣾⣿⠟⣿⢿⣿⣿⣶⣙⢦⡁⠤⡙⡶⣧ ⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣯⣿⣿⣻⡿⣿⣽⠿⣃⠣⣿⣿⡟⢥⣿⣿⣿⣻⢡⣤⡄⢀⣟⣀⣯⣴⣮⡹⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠸⠟⠋⣉⣤⣶⣿⣿⣶⣤⣄⣀⣻⣿⢿⣷⡀⣘⣿⣷⣄⣠⠞⡩⠀⠀⣀⣀⠀⠀⡎⠀⠀⣤⠠⠤⢄⡈⠢⣀⣞⣃⠀⠀⠉⣶⡇⠀⢀⣴⠟⠁⡘⠀⠀⠙⠋⠈⠉⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣿⡱⢫⣿⣿⣟⣿⣟⣻⣝⣷⣾⣿⠟⠁⣼⣣⠞⢩⡻⣿⣿⣾⣿⣦⡀⢻⢻ ⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⢞⣿⣯⣿⠳⣜⣦⣷⣷⣿⣿⣿⣾⣿⣿⣯⣓⣈⣩⣷⣿⡿⡿⣟⢿⣿⠻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡿⠋⠇⠀⠀⠀⠈⠿⠿⠀⠀⠃⠀⠀⢿⣀⣤⠖⠋⡠⠛⢯⢿⡿⡷⠀⠸⣇⣤⡿⠁⠀⢰⠁⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⣟⠅⣿⣿⣻⣽⣿⣿⣿⣿⣻⣿⡭⠶⠻⣥⣀⣼⣿⣷⣤⡀⠓⣹⣿⣿⣿⣿⣿⣶⡘ ⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣯⢿⡿⡽⣎⣟⡯⣜⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⢿⣿⣟⡿⣆⢷⣜⣦⣽⣷⣾⡏⡽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⠆⠀⠀⠀⠀⠀⢠⠀⠀⠀⡼⠋⡠⠒⠉⠀⠀⠀⢻⣿⡇⢀⠴⡟⡿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢠⣿⣿⠻⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣴⠗⢺⣿⣿⡷⣿⣿⣿⣿⣇⠀⠀⣤⡄⣠⡧⣼⣽⣿⣷⣿⣿⣆⠈⡝⡻⣿⣿⣿⣿⣿ ⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣷⣿⣿⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⣾⠄⡼⣿⣏⣾⣛⣯⣿⠿⢛⡃⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⢹⠉⠀⠀⠀⠀⢀⡀⠀⠀⠸⠀⢠⣎⠔⠊⠀⠀⢿⣿⠀⠀⠀⣽⣉⡏⠀⡿⠁⠀⠀⢸⠃⠀⠀⠀⠀⠀⣰⣿⣿⣏⣉⣋⠙⢺⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢁⡟⠁⠀⣼⣿⣿⡷⣿⣿⣿⣿⣟⣀⣀⣤⡿⠟⢛⣭⡙⢿⣿⣿⣿⡽⢷⣌⡱⢌⠻⣿⣿⣿ ⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⡿⣻⢿⡭⢏⣬⣹⣿⣿⣿⣿⣩⣿⢿⣻⡟⢻⣿⣴⣷⣿⣞⣿⠿⣯⠀⢺⡿⠇⡷⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⣿⣿⣿⣟⣸⡼⣷⣦⠀⠀⠀⠿⠿⠀⣠⣴⣦⣿⡃⢠⣶⣦⠀⠀⠀⢀⣴⣊⠁⠀⠙⢆⣱⠀⠀⠀⢰⠀⠀⠀⠀⠀⣴⣿⣿⣿⣠⣴⣭⡑⢾⡿⠯⣔⠻⣿⣿⣿⣿⣿⡿⠋⠠⡎⢀⣤⣾⣿⣿⣿⣷⣾⣿⣿⣯⣯⡽⠋⠈⠿⢃⣈⣩⣤⣶⡿⣿⣿⣿⣮⣛⣷⣮⡱⢌⣿⣟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣷⣿⣫⡽⢷⣿⣿⣽⡟⢸⣯⢗⣇⣿⣿⣛⠭⢟⣪⡿⠀⡇⢱⡤⢴⣺⣧⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⠋⣀⡠⢤⠖⠘⡌⠙⣿⣿⣿⣿⣧⠙⠻⣀⠀⠀⠀⠀⠸⣿⢩⡿⡏⢇⠈⠉⠁⠀⢀⠔⠉⠿⠿⠁⠀⢠⠸⢿⣿⡶⠂⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣧⣶⠒⠬⠏⠀⠀⠈⠙⠶⢥⣛⣿⣿⣷⣴⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣟⡿⣷⣶⡟⠛⢉⣯⡅⣼⡿⢱⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣯⣽⣍⣆⣳⣈⣿⣿⣿⣷⣿⣇⡻⣾⣿⣿⣿⣮⡙⣉⡤⠞⢧⣾⣛⢾⣿⠉⠁⢹⣻⡛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣎⢻⣧⠈⢻⡄⠘⡄⢹⣿⣿⣷⢿⣧⡀⠈⣷⢦⣄⡀⠀⠀⣼⡇⣷⣾⣦⡀⠠⣾⣷⡄⠀⠀⠀⣀⠀⠀⠀⠀⠘⢦⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣜⣷⣖⣲⣴⣎⢦⡤⣀⢤⢀⣽⣷⣸⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣹⣿⣿⡿⣿⢷⣶⡶⠿⠶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣟⣻ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⢷⣿⣵⣫⢽⣛⡟⢿⠮⣽⣯⣭⣭⣿⣿⣿⣿⣿⣟⣿⢿⣿⣿⠹⣏⠁⢀⣴⠻⣏⣽⣦⣙⣆⣠⡿⠋⠀⣰⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⠳⣼⢆⢻⠳⡀⢻⡄⣸⣸⣿⣿⣿⣦⡙⠿⣶⣬⣛⡁⠀⠀⠀⣿⡇⣿⣟⠋⠙⠢⣈⢁⣤⠀⠀⠸⣿⠗⢘⣠⠂⠀⣠⣝⠖⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣡⢿⣿⠿⣯⡉⢡⠟⢀⠢⣾⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣷⢿⡩⣿ ⣿⣿⣿⣿⣿⣿⣿⣻⡽⣯⣿⣿⣿⣿⣷⣭⣞⢣⢋⡔⢢⢼⣿⣿⠿⣫⣿⣿⣿⣭⣿⢾⣿⣿⣽⡄⢸⣿⣤⣿⣞⠬⣻⣿⡟⠀⢠⢾⠟⣹⡾⠛⠻⡚⠿⢿⣿⣿⣿⣿⣿⣷⢠⡟⠨⢀⠷⠗⠛⠛⠉⢻⣿⣿⣿⣿⣿⣷⣶⠻⠭⠽⠷⠶⠛⢻⣿⣼⣿⣦⣠⣶⣾⣿⠟⢒⣶⣶⡒⢉⣩⣏⠔⠊⠹⣿⠇⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⣿⣿⣿⣻⢠⡟⢿⣧⡐⠈⣄⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢇⡳⣻ ⣿⣿⣿⣿⣿⢿⣳⣿⣽⣿⣿⣿⣿⣿⡿⣸⡧⣋⠖⡬⢡⣿⣿⣿⢰⢧⣿⡿⣽⣿⣾⣻⣿⣿⣿⢿⣦⣹⢿⣿⡶⣫⢕⣿⡇⣰⣷⠎⡘⣴⠁⠀⠀⠘⣆⡀⢻⣿⣿⣯⢿⣿⡚⢧⣴⠾⢤⣴⡆⣉⣵⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡆⢀⣁⡄⠻⣿⣾⣛⢿⣿⣷⣟⠀⡸⠿⢟⣡⣾⠟⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⣿⣿⢿⣿⣷⣞⣻⢿⣻⣿⣿⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢎⡵⣿ ⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⢇⡓⡎⣴⣽⣿⣿⣯⢸⠏⣿⣟⣿⣿⣯⢳⠿⣿⣄⣀⣀⣤⡾⠷⠭⠭⠗⢋⡴⢣⠋⢀⣿⣿⠀⠀⠀⠀⢨⣧⣏⠙⣿⡽⣮⣽⣿⡭⠥⠂⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣍⠥⠒⠻⣿⡗⠀⠈⢛⣛⡛⠳⠾⣿⣶⣶⢿⡿⢋⡄⠀⣿⣿⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠛⠻⠿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣇⡀⣾⠉⠋⣿⠛⡙⣿⠛⣿⡏⣹⣾⣿⣿⣿⣿⡻⣿⡟⣬⣏⠶⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢎⣵⡟⠥⣺⣿⣿⣿⣿⣿⣿⣿⢾⣿⡇⠀⢸⣿⣤⡿⠋⠁⠀⠀⠀⢀⣤⡿⢷⠏⠀⢸⣸⢿⡄⠀⡠⠚⠁⠀⢏⠢⣿⣿⣛⣿⣿⡽⠂⣀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⡦⣄⣀⠀⠀⠀⠿⠿⠉⠁⠉⢙⡟⢺⠋⠀⠘⠇⠀⠀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢡⣿⡶⠀⣼⣿⣿⣿⡟⣡⣿⣿⢿⣿⣿⢃⡏⣶⡇⣿⣿⣿⣷⣦⣿⣷⠿⢿⣿⣿⣿⡟⣷⣿⡼⣡⢿⣽⣿ ⣿⣿⣿⣿⣽⡿⣟⡿⣟⣿⣿⣿⢯⣿⣧⣿⣯⣽⣿⣷⣿⣿⣿⣿⡷⣿⣿⣿⡿⣟⣿⣄⡀⠉⠛⠁⡀⠀⠀⠀⠀⣾⣿⡁⡼⢀⡀⣿⣿⢺⣷⡊⠀⠀⠀⠀⠸⢀⣿⠿⣿⡏⢻⡏⠉⠀⠘⣿⣿⣿⣿⣿⣯⣿⢿⣿⣿⣿⡋⠡⠒⠮⣧⠀⠹⣿⣒⣦⣤⣄⣀⣀⣤⣚⣉⣹⣦⠤⠴⠒⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠀⠀⢀⣼⣿⣿⣿⡏⣴⣻⠏⠉⡙⠓⢿⣿⣿⣤⣄⣿⣿⣿⢿⡟⣉⠻⣯⢼⣿⣿⣿⡷⢛⣿⢶⣭⢻⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⠻⣿⣿⣿⣿⣏⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⠓⠶⢲⡤⠤⢤⡤⠼⡿⠁⢩⠃⠘⠁⣿⣿⣅⠙⠿⣤⠤⠀⠀⣶⠿⠃⠰⠿⣧⡇⡇⠀⠀⢀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣯⡞⢫⠀⠀⠀⣸⠉⠛⠙⢿⣟⣷⣿⣟⠿⠏⠉⠁⠀⠈⠱⡄⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⢻⣿⣿⣿⡟⣿⣷⠂⣼⣿⣿⣿⡟⣰⢷⡏⢀⠂⣄⠂⡄⢻⣿⣿⡿⣿⣿⣻⡿⢡⠎⡱⡙⣿⣿⣿⣯⡴⣛⢾⣫⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡍⣿⣷⣿⡿⠶⢦⡼⣥⣀⣘⡃⠀⠿⢀⡎⠀⠀⠀⢹⣿⣿⣿⣶⣦⣵⣶⣊⡁⠀⣰⡶⢘⣿⣇⢹⠀⠀⠀⠉⢻⣿⠿⠟⠛⠛⠉⢿⡏⠁⢄⣱⣤⡖⢻⡄⠀⣿⡀⢈⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣷⢺⣇⢹⣿⡇⠀⠁⣼⠋⢙⡿⣿⣷⣽⡟⠀⡀⢢⡟⢠⡴⣿⣿⣿⡇⢾⣷⣿⢃⠇⣎⠱⡥⣿⣿⣿⣿⣿⣷⣮⣽⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣟⣛⣶⢗⠒⠲⣼⠟⠭⢭⣹⢯⣽⡓⡇⢸⣿⡟⣿⣶⡘⣿⣿⣿⣿⡀⠉⡠⠺⣯⣧⠈⣇⡤⠖⠚⣉⡤⠶⠒⠲⠽⠀⠄⠻⣄⡸⣿⣿⠣⡈⠻⠆⠹⣟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣱⣿⣿⠏⣡⣼⠁⣻⣿⣿⡆⣼⠃⢀⡾⣡⠿⣿⣿⣆⠐⠡⣸⠗⡃⣼⣿⣿⣿⡇⣻⣾⡿⢌⡚⢤⣋⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⣿⣷⣾⣾⡆⠀⣻⡆⠀⢸⣿⡀⢰⢹⠃⠈⣏⣷⠹⣿⣿⣭⣬⣿⢿⠓⠉⠀⢈⣷⣿⡋⠁⢤⠶⣛⡩⠤⠐⠂⠒⠀⠀⠂⠀⢿⣿⣿⣿⢧⡛⠢⣀⠄⠉⠙⠓⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⡾⢿⡿⠁⢠⣿⡟⢡⣼⠃⣠⠞⣿⣇⣀⣼⣿⡿⢀⠱⢏⠰⣽⣿⣿⣿⣿⣧⢸⣿⡏⢦⡙⢦⣙⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣾⣛⣿⣛⣖⠓⠳⠴⠞⠯⠿⢼⢚⠀⠀⣯⣾⡆⣘⠋⢿⣿⣦⠹⣇⣠⢴⣋⣳⣬⣹⣶⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣏⠃⢧⠀⠘⡓⠦⣴⠀⠀⠤⣀⣀⣠⡆⠀⠀⠀⠀⠀⢀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⢳⡟⢳⣴⡇⠀⣾⣿⣿⣼⠃⠄⢉⣽⢣⡼⠋⢉⣾⠅⣊⠰⢈⣼⣿⣿⣿⣿⣿⣿⡆⣿⣏⢲⡙⣦⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠛⠉⠙⣿⣿⣿⣿⣷⣼⣿⣿⣯⣟⣛⣻⣉⠙⠋⠒⠛⠃⠛⣙⣄⣭⠁⢻⡄⠃⣬⠟⣿⣷⣿⣅⣸⣿⣽⣿⡿⣿⡷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⡉⠳⣄⠁⣠⡷⠤⣀⠉⠉⠑⠋⠛⠛⠓⠒⠒⠒⠒⠉⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣸⣯⢻⣷⣿⡇⠀⢠⣿⣿⣠⠏⠀⣤⣿⣿⣟⡀⠆⣘⡿⢀⢂⣼⣿⣿⣟⢯⠟⣿⣿⣿⣷⡹⢎⢧⣚⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡷⣿⣎⢷⡳⢼⣬⣙⡻⣷⣿⡿⢁⠌⠰⡀⣿⣿⣿⣿⣿⣿⣿⣷⢿⣿⣿⣿⣧⣿⣴⣸⣃⡀⠀⠙⠁⢻⣾⣃⡷⣾⣥⡾⠋⢤⣷⣞⡻⢟⢿⣿⣿⣽⡟⠜⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣠⣷⡜⠿⢯⡀⠀⠀⠀⠀⠀⣀⣠⣶⠆⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⣿⣿⣿⣿⣿⣿⠏⣿⣿⣛⠯⣿⡇⢸⡃⠀⠘⠛⠿⠏⠠⠈⣿⠏⢩⡟⠠⠡⣼⣏⣤⣾⡿⢋⠥⢊⠦⡙⠼⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⣿⣿⡽⣭⢛⡿⣷⣛⢮⣝⡛⣟⠛⡷⢮⣻⣷⣿⡇⠠⢥⣿⣿⣿⣿⣿⣿⣿⣿⣮⡓⢶⣹⡏⢭⢻⣍⢻⡙⡛⣿⠛⡭⠙⣦⣾⣿⣯⣀⠳⣿⣿⣟⣿⣮⡢⡙⠿⠿⠇⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢺⣿⣿⡇⡘⠤⣉⢳⣦⣤⣴⠖⠛⠋⠉⠉⠉⠒⠒⠒⠤⣄⡀⣿⣿⣿⣿⣿⣿⣯⡛⢛⣿⢀⣿⡇⠈⠙⠲⠭⣝⡓⠶⢤⣀⡀⠂⠁⣼⠿⣷⠏⡠⢃⣸⣿⣿⡿⣯⢐⠣⢎⡱⢊⣕⣣⣽⣿⣷⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣸⣿⣿⣿⣾⣭⣷⣿⡹⣷⡾⠟⣚⣿⢶⣭⣁⠻⣿⠇⣌⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠈⢿⡈⠙⢳⠂⠓⠸⢜⡷⠞⢋⡽⢛⡷⢾⣿⣿⡉⠻⠟⠋⠀⠙⢱⡀⠀⠀⠀⠀⢸⣴⣤⣀⣀⠀⠀⡠⠦⠖⠁⣼⣿⣿⣡⣼⣶⡿⠿⢣⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣽⠋⠉⠙⠛⠿⣿⣿⣿⣶⣻⣬⡛⠦⢤⣄⣀⠀⠀⠉⠙⢳⣯⣽⣳⣿⣧⣼⣃⢴⣶⣴⣿⠏⣿⣿⣭⣾⣷⣾⣽⡿⢿⣿⣿⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⣿⣿⡷⣯⣿⣾⣳⡽⣞⣷⣬⣄⣉⣠⡽⢟⢒⢹⣆⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠶⣵⡀⠀⣧⠀⠀⠘⢢⣠⢞⣛⢿⣧⢄⣿⡟⠛⢢⠀⠀⣴⣦⠀⢱⡀⣴⣦⡀⠘⡏⠛⠛⡡⠔⠉⢀⡤⠖⣋⠔⠢⣌⣿⠿⣫⠖⣱⠋⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡟⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣯⣟⠛⠶⠦⣍⣙⠳⠦⣤⣺⣽⡟⢫⠟⠛⢺⣭⣻⣿⡿⣿⣾⣿⣿⣿⣿⣿⣷⢾⣧⣿⣿⣿⣿⣿⢭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣳⢯⣞⡵⣾⣕⣫⣯⡗⡸⢌⠲⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡆⠃⠘⣷⡀⠹⣧⣄⡀⣴⠏⣾⣿⣿⡏⠲⠌⢧⡀⠀⠡⡀⠙⣋⣤⣾⡇⠙⠋⠀⠀⡇⠀⢉⣠⠴⢚⠻⣦⣉⡔⢌⢣⣾⠫⣏⣥⣾⣥⣤⣤⡤⠿⠤⣀⠀⠀⠀⠀⠀⢠⠋⢠⠇⠀⢀⣠⣾⣿⢿⣻⢏⣯⣿⣿⡏⠾⠗⣤⣤⣌⡙⠳⠶⣭⣛⡳⢿⣤⣁⣾⣿⣿⢧⣿⣿⣿⣿⣿⣿⣿⣿⡏⢾⣿⣿⣿⣿⣿⣿⡾⣿⣮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢧⣿⣿⣿⡿⣽⣿⣯⡷⣞⣽⣽⣿⣿⡟⣜⡱⢊⣱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣢⣾⡇⠀⢹⣠⣿⡿⣿⣿⣿⡟⠀⠀⠈⢆⢿⣶⡆⢳⢸⣿⡽⠊⡅⠀⠀⢀⣠⣷⣾⣍⡀⠣⢡⠣⢰⣉⠛⢾⣾⣷⣿⣹⠞⣛⣻⣿⣧⡀⠀⠀⠈⠑⢄⠀⠀⢠⠂⢀⡞⢀⡴⢋⣷⣿⡽⣾⣱⢯⣿⣻⣿⣿⣦⣼⣟⠁⠉⠙⠓⢶⣤⢈⣙⠳⠶⣭⣽⣛⣯⣿⣟⠻⢿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣯⢻⠿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢿⡽⣿⣝⡻⣟⣿⠿⡿⢦⣳⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠿⣿⣛⣿⣶⣾⡟⠛⢫⢫⣉⣋⡁⠀⠀⠀⠈⣎⠉⠱⠀⡇⠉⣓⣤⠶⠒⠉⢹⣿⣿⣿⣿⣿⣶⣤⣉⠆⣌⣍⣾⣹⢻⣷⣏⣙⣿⣿⣿⣽⠗⠀⠀⠀⠀⠈⢳⡄⠀⣀⣞⡴⣻⠃⠈⢸⣿⡻⣵⣫⣿⣳⣿⣿⡏⣹⡿⣼⢀⣿⠏⣰⡄⣾⠛⡿⢗⣶⣆⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣟⣳⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⣿⣿⣭⣏⣿⣿⣿⣿⣿⣴⠞⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠽⢟⣻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣸⣷⣶⣿⢀⡠⢄⣄⣀⣀⡠⣿⡦⡴⠿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡻⣿⣿⣿⣿⣿⣿⣿⣿⣻⡟⣋⣼⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⡩⠀⠀⠀⣠⡶⠖⠛⡉⠁⠀⠉⠼⢻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⡯⡀⠛⠛⣿⣿⣿⠁⢨⣟⣻⡄⣠⠎⠁⠘⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣯⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⣠⠴⢚⣡⠴⣠⠖⡏⠀⡄⠈⠀⡠⠐⢀⣤⠀⠘⠩⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠧⠀⣰⠋⠀⠻⣶⠿⡏⣁⣿⡃⠤⠤⢼⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣵⣿⢿⣽⣯⢿⡽⣯⣟⢿⡽⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣿⣿⣿⠟⠉⢛⠏⠁⣈⣿⣿⣞⣿⣿⡿⠿⠿⠿⠿⣿⢿⣿⣿⣿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⢀⡠⢾⣿⣿⣏⣴⠞⣡⠞⢀⡜⠙⡔⠁⣀⠠⣿⡿⠀⠀⠀⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣏⢳⣤⡁⠀⠀⠀⢯⣼⣥⣟⠉⣦⢀⠀⡸⠀⣿⣿⣿⣿⣞⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣯⣿⣷⣻⢯⣟⣷⣫⣟⢾⡹⢧⣻⢱⢫⡝⡻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣷⣾⡀⡜⠹⣿⣹⣞⣯⡷⠀⠀⡠⠚⠑⠠⡀⠙⡿⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢀⣴⡯⢛⣽⡯⢷⣻⢋⢾⠋⣠⡏⢠⣞⣀⣼⠇⡀⠉⠀⠀⠰⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⣷⣼⣧⣾⣿⢢⡠⠊⠁⠸⣇⣸⣡⠞⣓⣚⣳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣾⣟⡿⣞⣷⡳⣏⡷⣏⢷⢣⡛⢦⢭⠱⣉⠖⡠⢌⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠿⣿⢷⣧⡀⠙⠛⣟⣧⣸⣶⣎⡈⠑⠢⠀⠙⢄⠈⠢⣼⣿⣿⣿⣿⣿⣿⣿⣿⠟⡁⠀⣠⡾⠋⢠⣾⠿⢲⣾⣷⢡⠃⣴⡟⣿⣿⣿⣯⣼⢲⠁⠀⠀⠀⠀⡇⢾⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢳⣿⣿⠿⣿⢿⣯⣝⠲⠤⠠⠤⢼⣶⣿⣿⣿⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣻⠾⣝⣻⡼⣝⢮⢳⣹⣮⣆⠏⡴⢎⠱⡀⠆⡁⠃⠄⠂⠀⠈⠉⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣎⡳⣜⢧⡹⣿⣶⣴⣿⣹⣿⣯⣿⣌⢢⣀⣱⣄⠀⠢⡀⠙⠻⣿⣿⠟⣿⣿⠟⣡⠞⠀⣼⠟⠱⣿⠏⠁⠀⣾⣿⣯⣼⠏⣼⣰⣷⣿⣏⡀⡎⣼⡄⠀⠀⠀⠀⡇⠉⠙⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠟⠁⡀⣈⠿⣿⣤⣼⡿⣽⡛⠂⠤⠤⡶⢽⣿⠿⢋⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣯⣞⣿⣟⣿⣿⢚⡡⢊⠔⣁⠂⠡⢈⠀⡀⠀⢀⣴⠞⠉⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⢿⣷⡉⢿⣻⢿⣛⣿⢛⣏⣿⣷⡻⣿⢿⣿⣿⡏⠐⡀⠘⣄⣧⠟⠁⣼⣿⣫⣾⢃⡆⢀⡏⠀⡰⠁⠀⠀⠸⠻⣡⣿⠋⠠⣿⣿⣽⣇⠀⣿⣱⢿⡇⠀⠀⠀⠀⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢏⡅⠊⢠⣞⡵⠊⠉⠢⢜⡿⣟⣛⣀⡀⢿⣶⡟⠀⠀⠂⢀⣾⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣾⣿⣤⣧⣘⡐⢊⠄⠌⡐⠀⢂⣠⣴⡟⠁⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣯⠻⣿⣿⣦⠿⢿⣻⡧⠖⠻⠿⠛⠁⠈⢻⣷⠿⣦⣄⣰⡴⠻⠑⣴⣾⣿⣿⣿⣧⡟⠀⢸⠃⢰⠃⠀⠀⠀⠀⠀⠁⢻⣆⡰⠉⠻⢯⣿⢷⣿⣇⣿⢧⢰⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠎⠀⣼⠟⠁⠀⠀⠀⠀⢀⣿⣿⣿⣟⣿⣿⡿⢀⠆⠀⠀⠈⠉⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⣮⣄⣐⣴⣿⣿⣯⡤⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠴⣙⣷⣇⡈⣿⣳⡄⠻⣀⠀⠀⠀⠀⠀⣠⠊⢽⠓⠛⣿⣿⠓⣴⢻⣳⣿⣿⣿⣿⣿⢠⠃⣼⠁⡏⠀⠀⣠⣤⣾⠭⠶⢎⣻⣅⡀⠀⠀⠀⠈⠋⢹⠿⣼⡸⠀⠀⠀⠀⠀⠀⠠⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣼⠃⣠⠞⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡾⣽⣷⣾⣀⣠⠄⠀⢠⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠽⠟⠁⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⠃⣈⣶⣿⠿⣋⣿⢿⣷⣿⣷⣎⡇⠀⠀⠀⠀⠀⣠⣾⡥⢤⣫⠉⠑⠛⠒⠃⠼⣿⣿⣿⡏⡿⢰⣻⢸⠁⠀⢀⣿⣿⣿⣦⣤⣤⣤⣶⣿⣷⣶⠖⠀⠀⠈⠀⢹⣷⡄⠀⠀⠀⠀⠀⠸⣷⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⠃⡰⠃⠀⠀⣰⣶⣤⣀⣀⣾⣿⣿⣿⣿⣿⣿⡗⣿⣽⣿⣷⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠹ ⡷⣿⣿⣿⣿⣿⣿⣟⣿⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⣿⣿⣿⢿⡽⣷⡇⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣇⣼⢯⣿⣇⢲⣿⣿⡆⡂⠻⡟⠉⠀⠀⣠⣄⣠⣿⢯⣤⣤⠀⠈⢳⣄⢀⣤⠀⢀⢼⣿⣿⣿⡇⣿⣿⣾⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⡄⢿⣿⡽⣿⣿⣿⣿⣿⣿⣿⣿⠙⣷⡼⠁⠀⠀⠀⠈⠙⠛⠛⣹⣿⣿⣿⣿⣿⣿⣿⡷⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠻⠟⠃⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⢿⣿⣿⣟⣿⣿⣿⣻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣻⣏⣼⡏⡅⣿⣿⣿⣷⡁⠀⢸⣿⡀⣼⣿⣻⠋⡠⠁⠈⠉⠀⠀⠀⠙⢾⣿⣷⡁⢻⣿⣿⣿⣷⣿⣿⡏⡄⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⡀⢸⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⡿⠦⢄⣀⣀⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⠟⣩⣷⠿⠻⢟⡟⠛⣿⣿⣿⡿⠛⠁⢀⣠⣤⡤⠔⠂⠠⢁⠂ ⣿⣿⣿⣿⣄⣸⣿⣿⣯⣿⣟⡷⣯⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣷⣯⣿⣿⣿⣾⡇⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⡟⢻⣧⣿⣿⣿⡇⣺⣿⣿⣿⣿⣧⠀⢸⣧⣼⣿⣳⣿⣯⣤⣶⣿⡏⠀⢠⠔⣊⠉⠙⣇⠜⢁⣿⣿⣿⣿⣿⣿⣷⠁⠀⠀⣿⣿⣿⣿⣿⣿⠿⢿⠟⠀⠀⠀⠀⠀⠀⠀⣰⠞⢻⠆⠀⡀⠀⣷⡈⣿⣿⠟⣋⡁⠀⠄⣿⢱⣿⣾⣿⡻⢅⠀⣠⣤⠀⠀⢞⡼⡻⢁⣿⣿⣿⣿⣿⡿⢁⡿⣡⠃⠀⣠⠞⠹⡍⣷⣼⣯⣶⣶⣾⣿⡻⣽⣥⢦⣤⣥⣄⡀ ⣿⣿⣿⣿⣿⣿⣿⣽⣟⣿⣾⣿⢿⣿⣻⢾⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢷⣻⣿⣿⣧⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣇⣾⢻⣿⣷⢾⣇⣿⢿⣿⣿⣿⣿⣷⣼⣿⣿⣷⣟⣾⣿⣿⣿⣿⡇⣀⣴⡛⠉⠀⠁⢨⣷⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠹⣿⠿⠋⠁⢀⡴⠋⠀⠀⠀⠀⠀⢀⣤⡾⣍⡶⡇⢰⠀⣷⣠⣿⡟⠋⠱⠛⠋⢁⠀⠆⢹⣷⣻⣿⣝⠇⢀⡉⠙⠢⠤⣴⣯⡔⢁⣾⡿⣿⣿⣿⣿⢳⡏⣷⣯⡔⠊⢡⣀⠄⣿⢿⣿⣿⣿⣿⣿⣷⣿⣶⣯⣽⣟⣿⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⢿⣿⣿⣿⢩⠶⡬⣙⣿⣿⣿⣿⣿⣷⣯⣿⣽⣿⣻⢿⡀⠀⠀⠀⢀⣾⣿⣯⣿⣿⣿⣿⣼⣿⣻⡿⣟⣿⣦⢻⣿⢿⡏⣽⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⠉⢹⣿⣻⣶⣤⣊⡍⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⠒⠤⠒⠋⠀⠀⠀⠀⣀⣤⢶⣿⢣⣷⣿⣿⣇⢸⣧⡿⠿⠋⠀⠀⠀⢀⠐⢀⠂⣠⠄⠹⣿⣿⣏⠳⠼⣋⣀⣤⣾⣿⢟⣴⣿⣿⣟⣿⣿⣿⣟⣸⡟⣿⣿⢿⣀⣼⣏⠀⣾⠄⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⡽⣯⣿⣿⣿⣇⠯⣞⣴⣷⣿⣩⢻⣿⡿⣿⣿⣿⣟⣧⣻⣿⡇⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣌⢻⣿⣿⣿⣿⢿⡛⢧⢳⡸⢁⡇⠐⠀⣂⣀⡤⠜⠻⣏⣩⣼⣿⡟⢛⠹⠏⣀⠤⢋⡝⠉⠉⠙⢥⢉⡉⠉⠛⢿⣿⣄⡀⢀⠀⣀⣀⣤⣤⣴⡾⠛⠉⠀⠸⣷⣿⣿⣿⣿⢿⠟⠛⠃⠀⠀⠀⡀⠂⠀⣈⣤⢞⣡⠖⠋⠀⠀⠈⠉⠉⢉⣽⠟⢉⣼⣿⣽⡓⠈⠻⣿⣿⣾⣿⣿⡷⠾⠋⠙⣟⡹⣏⣿⡿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣽⡾⣽⡿⣿⣿⣿⣿⣷⣿⢿⣽⡟⣙⣹⣙⣿⣿⣿⡏⢿⣿⣽⡳⣷⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡘⡏⢧⠘⢯⠁⠸⠖⢛⣉⡭⠤⠖⠚⠉⣝⣿⣿⠝⠃⠀⢉⡉⠄⣰⠏⠀⠀⠀⠀⠀⠠⡀⠀⡠⠊⢉⢻⣿⣿⣿⣿⣿⠛⠋⠋⠀⠀⠀⠀⠀⣿⣿⣿⠿⠚⠀⠀⠀⠀⠀⣴⣦⣶⡾⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⣠⣾⣧⣶⣿⣿⣿⣿⠟⠳⠦⣄⡙⢾⣽⣻⡇⠀⠤⡄⠀⢹⡏⣸⠛⣿⣿⡿⡿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣟⣾⣿⢿⣹⠽⣿⣿⣿⣿⣯⣿⣿⣋⣛⣼⣿⣿⣿⣿⣷⢪⡻⣿⣿⠿⠛⠛⢋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⢧⢸⠇⣺⠛⠉⡀⢀⠠⠀⠀⠂⠈⣿⡇⠀⠀⢎⣻⡠⠔⠁⠀⠀⠀⠀⠀⠀⠀⣈⠞⠹⣿⣿⣏⡙⣿⣿⣿⠏⠐⠖⠦⣄⠀⠀⣠⡟⣽⣿⠅⠀⠀⠀⠀⢀⡴⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣟⣹⠛⠀⠀⠰⠛⢿⣿⣿⣿⡀⢸⣿⣿⠞⠸⡷⠛⠀⢿⣿⣿⣿⣦⣄⣀⣀⠐⠌⡉⢙⠻⠿⣿ ⣿⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣞⣿⣿⣿⣲⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣿⢿⣇⠀⠀⠀⢈⣱⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⡿⠀⣏⠀⠄⡀⠄⠠⠀⠂⣡⠴⣺⠁⠀⣀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⡌⠈⠿⢹⣿⠋⠀⠀⢠⡆⠀⢙⡾⠋⠀⣼⠃⠀⠀⠀⢀⡴⢋⣴⡁⠀⠀⠀⢀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣁⣀⣤⡴⢂⣴⡿⣿⣿⣿⣷⣄⠉⢁⣠⠞⠓⠀⣀⣤⣿⣿⣿⣮⣹⣟⢯⡷⠦⢈⡐⢢⡁⢻ ⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢾⣿⣿⣧⡝⣮⣶⣌⡱⢸⣿⣿⣿⡿⢟⣽⣯⣿⣿⠿⠋⠹⣆⣀⣀⡼⠛⣹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠑⢠⣿⣷⣶⣤⣤⡴⣖⡿⠗⠚⠙⢚⣯⠀⠀⠀⣀⣀⠀⠀⠀⠀⢀⣤⠞⠓⠹⣿⠗⢠⠁⠀⠀⠊⠁⠁⡀⠀⠘⢿⡤⠃⢾⣿⣶⡏⠀⠀⠀⣠⠞⢀⠞⢿⣿⣤⠀⠀⣿⡀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠋⣰⡯⣿⣟⣿⣾⣿⣯⣮⣵⡶⡟⣡⣾⣿⠟⣿⢿⣿⣿⣶⣙⢦⡁⠤⡙⡶⣧ ⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣯⣿⣿⣻⡿⣿⣽⠿⣃⠣⣿⣿⡟⢥⣿⣿⣿⣻⢡⣤⡄⢀⣟⣀⣯⣴⣮⡹⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠸⠟⠋⣉⣤⣶⣿⣿⣶⣤⣄⣀⣻⣿⢿⣷⡀⣘⣿⣷⣄⣠⠞⡩⠀⠀⣀⣀⠀⠀⡎⠀⠀⣤⠠⠤⢄⡈⠢⣀⣞⣃⠀⠀⠉⣶⡇⠀⢀⣴⠟⠁⡘⠀⠀⠙⠋⠈⠉⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣿⡱⢫⣿⣿⣟⣿⣟⣻⣝⣷⣾⣿⠟⠁⣼⣣⠞⢩⡻⣿⣿⣾⣿⣦⡀⢻⢻ ⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⢞⣿⣯⣿⠳⣜⣦⣷⣷⣿⣿⣿⣾⣿⣿⣯⣓⣈⣩⣷⣿⡿⡿⣟⢿⣿⠻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡿⠋⠇⠀⠀⠀⠈⠿⠿⠀⠀⠃⠀⠀⢿⣀⣤⠖⠋⡠⠛⢯⢿⡿⡷⠀⠸⣇⣤⡿⠁⠀⢰⠁⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⣟⠅⣿⣿⣻⣽⣿⣿⣿⣿⣻⣿⡭⠶⠻⣥⣀⣼⣿⣷⣤⡀⠓⣹⣿⣿⣿⣿⣿⣶⡘ ⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣯⢿⡿⡽⣎⣟⡯⣜⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⢿⣿⣟⡿⣆⢷⣜⣦⣽⣷⣾⡏⡽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⠆⠀⠀⠀⠀⠀⢠⠀⠀⠀⡼⠋⡠⠒⠉⠀⠀⠀⢻⣿⡇⢀⠴⡟⡿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢠⣿⣿⠻⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣴⠗⢺⣿⣿⡷⣿⣿⣿⣿⣇⠀⠀⣤⡄⣠⡧⣼⣽⣿⣷⣿⣿⣆⠈⡝⡻⣿⣿⣿⣿⣿ ⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣷⣿⣿⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⣾⠄⡼⣿⣏⣾⣛⣯⣿⠿⢛⡃⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⢹⠉⠀⠀⠀⠀⢀⡀⠀⠀⠸⠀⢠⣎⠔⠊⠀⠀⢿⣿⠀⠀⠀⣽⣉⡏⠀⡿⠁⠀⠀⢸⠃⠀⠀⠀⠀⠀⣰⣿⣿⣏⣉⣋⠙⢺⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢁⡟⠁⠀⣼⣿⣿⡷⣿⣿⣿⣿⣟⣀⣀⣤⡿⠟⢛⣭⡙⢿⣿⣿⣿⡽⢷⣌⡱⢌⠻⣿⣿⣿ ⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⡿⣻⢿⡭⢏⣬⣹⣿⣿⣿⣿⣩⣿⢿⣻⡟⢻⣿⣴⣷⣿⣞⣿⠿⣯⠀⢺⡿⠇⡷⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⣿⣿⣿⣟⣸⡼⣷⣦⠀⠀⠀⠿⠿⠀⣠⣴⣦⣿⡃⢠⣶⣦⠀⠀⠀⢀⣴⣊⠁⠀⠙⢆⣱⠀⠀⠀⢰⠀⠀⠀⠀⠀⣴⣿⣿⣿⣠⣴⣭⡑⢾⡿⠯⣔⠻⣿⣿⣿⣿⣿⡿⠋⠠⡎⢀⣤⣾⣿⣿⣿⣷⣾⣿⣿⣯⣯⡽⠋⠈⠿⢃⣈⣩⣤⣶⡿⣿⣿⣿⣮⣛⣷⣮⡱⢌⣿⣟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣷⣿⣫⡽⢷⣿⣿⣽⡟⢸⣯⢗⣇⣿⣿⣛⠭⢟⣪⡿⠀⡇⢱⡤⢴⣺⣧⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⠋⣀⡠⢤⠖⠘⡌⠙⣿⣿⣿⣿⣧⠙⠻⣀⠀⠀⠀⠀⠸⣿⢩⡿⡏⢇⠈⠉⠁⠀⢀⠔⠉⠿⠿⠁⠀⢠⠸⢿⣿⡶⠂⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣧⣶⠒⠬⠏⠀⠀⠈⠙⠶⢥⣛⣿⣿⣷⣴⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣟⡿⣷⣶⡟⠛⢉⣯⡅⣼⡿⢱⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣯⣽⣍⣆⣳⣈⣿⣿⣿⣷⣿⣇⡻⣾⣿⣿⣿⣮⡙⣉⡤⠞⢧⣾⣛⢾⣿⠉⠁⢹⣻⡛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣎⢻⣧⠈⢻⡄⠘⡄⢹⣿⣿⣷⢿⣧⡀⠈⣷⢦⣄⡀⠀⠀⣼⡇⣷⣾⣦⡀⠠⣾⣷⡄⠀⠀⠀⣀⠀⠀⠀⠀⠘⢦⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣜⣷⣖⣲⣴⣎⢦⡤⣀⢤⢀⣽⣷⣸⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣹⣿⣿⡿⣿⢷⣶⡶⠿⠶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣟⣻ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⢷⣿⣵⣫⢽⣛⡟⢿⠮⣽⣯⣭⣭⣿⣿⣿⣿⣿⣟⣿⢿⣿⣿⠹⣏⠁⢀⣴⠻⣏⣽⣦⣙⣆⣠⡿⠋⠀⣰⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⠳⣼⢆⢻⠳⡀⢻⡄⣸⣸⣿⣿⣿⣦⡙⠿⣶⣬⣛⡁⠀⠀⠀⣿⡇⣿⣟⠋⠙⠢⣈⢁⣤⠀⠀⠸⣿⠗⢘⣠⠂⠀⣠⣝⠖⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣡⢿⣿⠿⣯⡉⢡⠟⢀⠢⣾⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣷⢿⡩⣿ ⣿⣿⣿⣿⣿⣿⣿⣻⡽⣯⣿⣿⣿⣿⣷⣭⣞⢣⢋⡔⢢⢼⣿⣿⠿⣫⣿⣿⣿⣭⣿⢾⣿⣿⣽⡄⢸⣿⣤⣿⣞⠬⣻⣿⡟⠀⢠⢾⠟⣹⡾⠛⠻⡚⠿⢿⣿⣿⣿⣿⣿⣷⢠⡟⠨⢀⠷⠗⠛⠛⠉⢻⣿⣿⣿⣿⣿⣷⣶⠻⠭⠽⠷⠶⠛⢻⣿⣼⣿⣦⣠⣶⣾⣿⠟⢒⣶⣶⡒⢉⣩⣏⠔⠊⠹⣿⠇⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⣿⣿⣿⣻⢠⡟⢿⣧⡐⠈⣄⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢇⡳⣻ ⣿⣿⣿⣿⣿⢿⣳⣿⣽⣿⣿⣿⣿⣿⡿⣸⡧⣋⠖⡬⢡⣿⣿⣿⢰⢧⣿⡿⣽⣿⣾⣻⣿⣿⣿⢿⣦⣹⢿⣿⡶⣫⢕⣿⡇⣰⣷⠎⡘⣴⠁⠀⠀⠘⣆⡀⢻⣿⣿⣯⢿⣿⡚⢧⣴⠾⢤⣴⡆⣉⣵⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡆⢀⣁⡄⠻⣿⣾⣛⢿⣿⣷⣟⠀⡸⠿⢟⣡⣾⠟⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⣿⣿⢿⣿⣷⣞⣻⢿⣻⣿⣿⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢎⡵⣿ ⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⢇⡓⡎⣴⣽⣿⣿⣯⢸⠏⣿⣟⣿⣿⣯⢳⠿⣿⣄⣀⣀⣤⡾⠷⠭⠭⠗⢋⡴⢣⠋⢀⣿⣿⠀⠀⠀⠀⢨⣧⣏⠙⣿⡽⣮⣽⣿⡭⠥⠂⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣍⠥⠒⠻⣿⡗⠀⠈⢛⣛⡛⠳⠾⣿⣶⣶⢿⡿⢋⡄⠀⣿⣿⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠛⠻⠿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣇⡀⣾⠉⠋⣿⠛⡙⣿⠛⣿⡏⣹⣾⣿⣿⣿⣿⡻⣿⡟⣬⣏⠶⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢎⣵⡟⠥⣺⣿⣿⣿⣿⣿⣿⣿⢾⣿⡇⠀⢸⣿⣤⡿⠋⠁⠀⠀⠀⢀⣤⡿⢷⠏⠀⢸⣸⢿⡄⠀⡠⠚⠁⠀⢏⠢⣿⣿⣛⣿⣿⡽⠂⣀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⡦⣄⣀⠀⠀⠀⠿⠿⠉⠁⠉⢙⡟⢺⠋⠀⠘⠇⠀⠀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢡⣿⡶⠀⣼⣿⣿⣿⡟⣡⣿⣿⢿⣿⣿⢃⡏⣶⡇⣿⣿⣿⣷⣦⣿⣷⠿⢿⣿⣿⣿⡟⣷⣿⡼⣡⢿⣽⣿ ⣿⣿⣿⣿⣽⡿⣟⡿⣟⣿⣿⣿⢯⣿⣧⣿⣯⣽⣿⣷⣿⣿⣿⣿⡷⣿⣿⣿⡿⣟⣿⣄⡀⠉⠛⠁⡀⠀⠀⠀⠀⣾⣿⡁⡼⢀⡀⣿⣿⢺⣷⡊⠀⠀⠀⠀⠸⢀⣿⠿⣿⡏⢻⡏⠉⠀⠘⣿⣿⣿⣿⣿⣯⣿⢿⣿⣿⣿⡋⠡⠒⠮⣧⠀⠹⣿⣒⣦⣤⣄⣀⣀⣤⣚⣉⣹⣦⠤⠴⠒⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠀⠀⢀⣼⣿⣿⣿⡏⣴⣻⠏⠉⡙⠓⢿⣿⣿⣤⣄⣿⣿⣿⢿⡟⣉⠻⣯⢼⣿⣿⣿⡷⢛⣿⢶⣭⢻⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⠻⣿⣿⣿⣿⣏⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⠓⠶⢲⡤⠤⢤⡤⠼⡿⠁⢩⠃⠘⠁⣿⣿⣅⠙⠿⣤⠤⠀⠀⣶⠿⠃⠰⠿⣧⡇⡇⠀⠀⢀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣯⡞⢫⠀⠀⠀⣸⠉⠛⠙⢿⣟⣷⣿⣟⠿⠏⠉⠁⠀⠈⠱⡄⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⢻⣿⣿⣿⡟⣿⣷⠂⣼⣿⣿⣿⡟⣰⢷⡏⢀⠂⣄⠂⡄⢻⣿⣿⡿⣿⣿⣻⡿⢡⠎⡱⡙⣿⣿⣿⣯⡴⣛⢾⣫⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡍⣿⣷⣿⡿⠶⢦⡼⣥⣀⣘⡃⠀⠿⢀⡎⠀⠀⠀⢹⣿⣿⣿⣶⣦⣵⣶⣊⡁⠀⣰⡶⢘⣿⣇⢹⠀⠀⠀⠉⢻⣿⠿⠟⠛⠛⠉⢿⡏⠁⢄⣱⣤⡖⢻⡄⠀⣿⡀⢈⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣷⢺⣇⢹⣿⡇⠀⠁⣼⠋⢙⡿⣿⣷⣽⡟⠀⡀⢢⡟⢠⡴⣿⣿⣿⡇⢾⣷⣿⢃⠇⣎⠱⡥⣿⣿⣿⣿⣿⣷⣮⣽⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣟⣛⣶⢗⠒⠲⣼⠟⠭⢭⣹⢯⣽⡓⡇⢸⣿⡟⣿⣶⡘⣿⣿⣿⣿⡀⠉⡠⠺⣯⣧⠈⣇⡤⠖⠚⣉⡤⠶⠒⠲⠽⠀⠄⠻⣄⡸⣿⣿⠣⡈⠻⠆⠹⣟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣱⣿⣿⠏⣡⣼⠁⣻⣿⣿⡆⣼⠃⢀⡾⣡⠿⣿⣿⣆⠐⠡⣸⠗⡃⣼⣿⣿⣿⡇⣻⣾⡿⢌⡚⢤⣋⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⣿⣷⣾⣾⡆⠀⣻⡆⠀⢸⣿⡀⢰⢹⠃⠈⣏⣷⠹⣿⣿⣭⣬⣿⢿⠓⠉⠀⢈⣷⣿⡋⠁⢤⠶⣛⡩⠤⠐⠂⠒⠀⠀⠂⠀⢿⣿⣿⣿⢧⡛⠢⣀⠄⠉⠙⠓⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⡾⢿⡿⠁⢠⣿⡟⢡⣼⠃⣠⠞⣿⣇⣀⣼⣿⡿⢀⠱⢏⠰⣽⣿⣿⣿⣿⣧⢸⣿⡏⢦⡙⢦⣙⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣾⣛⣿⣛⣖⠓⠳⠴⠞⠯⠿⢼⢚⠀⠀⣯⣾⡆⣘⠋⢿⣿⣦⠹⣇⣠⢴⣋⣳⣬⣹⣶⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣏⠃⢧⠀⠘⡓⠦⣴⠀⠀⠤⣀⣀⣠⡆⠀⠀⠀⠀⠀⢀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⢳⡟⢳⣴⡇⠀⣾⣿⣿⣼⠃⠄⢉⣽⢣⡼⠋⢉⣾⠅⣊⠰⢈⣼⣿⣿⣿⣿⣿⣿⡆⣿⣏⢲⡙⣦⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠛⠉⠙⣿⣿⣿⣿⣷⣼⣿⣿⣯⣟⣛⣻⣉⠙⠋⠒⠛⠃⠛⣙⣄⣭⠁⢻⡄⠃⣬⠟⣿⣷⣿⣅⣸⣿⣽⣿⡿⣿⡷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⡉⠳⣄⠁⣠⡷⠤⣀⠉⠉⠑⠋⠛⠛⠓⠒⠒⠒⠒⠉⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣸⣯⢻⣷⣿⡇⠀⢠⣿⣿⣠⠏⠀⣤⣿⣿⣟⡀⠆⣘⡿⢀⢂⣼⣿⣿⣟⢯⠟⣿⣿⣿⣷⡹⢎⢧⣚⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡷⣿⣎⢷⡳⢼⣬⣙⡻⣷⣿⡿⢁⠌⠰⡀⣿⣿⣿⣿⣿⣿⣿⣷⢿⣿⣿⣿⣧⣿⣴⣸⣃⡀⠀⠙⠁⢻⣾⣃⡷⣾⣥⡾⠋⢤⣷⣞⡻⢟⢿⣿⣿⣽⡟⠜⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣠⣷⡜⠿⢯⡀⠀⠀⠀⠀⠀⣀⣠⣶⠆⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⣿⣿⣿⣿⣿⣿⠏⣿⣿⣛⠯⣿⡇⢸⡃⠀⠘⠛⠿⠏⠠⠈⣿⠏⢩⡟⠠⠡⣼⣏⣤⣾⡿⢋⠥⢊⠦⡙⠼⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⣿⣿⡽⣭⢛⡿⣷⣛⢮⣝⡛⣟⠛⡷⢮⣻⣷⣿⡇⠠⢥⣿⣿⣿⣿⣿⣿⣿⣿⣮⡓⢶⣹⡏⢭⢻⣍⢻⡙⡛⣿⠛⡭⠙⣦⣾⣿⣯⣀⠳⣿⣿⣟⣿⣮⡢⡙⠿⠿⠇⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢺⣿⣿⡇⡘⠤⣉⢳⣦⣤⣴⠖⠛⠋⠉⠉⠉⠒⠒⠒⠤⣄⡀⣿⣿⣿⣿⣿⣿⣯⡛⢛⣿⢀⣿⡇⠈⠙⠲⠭⣝⡓⠶⢤⣀⡀⠂⠁⣼⠿⣷⠏⡠⢃⣸⣿⣿⡿⣯⢐⠣⢎⡱⢊⣕⣣⣽⣿⣷⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣸⣿⣿⣿⣾⣭⣷⣿⡹⣷⡾⠟⣚⣿⢶⣭⣁⠻⣿⠇⣌⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠈⢿⡈⠙⢳⠂⠓⠸⢜⡷⠞⢋⡽⢛⡷⢾⣿⣿⡉⠻⠟⠋⠀⠙⢱⡀⠀⠀⠀⠀⢸⣴⣤⣀⣀⠀⠀⡠⠦⠖⠁⣼⣿⣿⣡⣼⣶⡿⠿⢣⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣽⠋⠉⠙⠛⠿⣿⣿⣿⣶⣻⣬⡛⠦⢤⣄⣀⠀⠀⠉⠙⢳⣯⣽⣳⣿⣧⣼⣃⢴⣶⣴⣿⠏⣿⣿⣭⣾⣷⣾⣽⡿⢿⣿⣿⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⣿⣿⡷⣯⣿⣾⣳⡽⣞⣷⣬⣄⣉⣠⡽⢟⢒⢹⣆⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠶⣵⡀⠀⣧⠀⠀⠘⢢⣠⢞⣛⢿⣧⢄⣿⡟⠛⢢⠀⠀⣴⣦⠀⢱⡀⣴⣦⡀⠘⡏⠛⠛⡡⠔⠉⢀⡤⠖⣋⠔⠢⣌⣿⠿⣫⠖⣱⠋⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡟⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣯⣟⠛⠶⠦⣍⣙⠳⠦⣤⣺⣽⡟⢫⠟⠛⢺⣭⣻⣿⡿⣿⣾⣿⣿⣿⣿⣿⣷⢾⣧⣿⣿⣿⣿⣿⢭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣳⢯⣞⡵⣾⣕⣫⣯⡗⡸⢌⠲⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡆⠃⠘⣷⡀⠹⣧⣄⡀⣴⠏⣾⣿⣿⡏⠲⠌⢧⡀⠀⠡⡀⠙⣋⣤⣾⡇⠙⠋⠀⠀⡇⠀⢉⣠⠴⢚⠻⣦⣉⡔⢌⢣⣾⠫⣏⣥⣾⣥⣤⣤⡤⠿⠤⣀⠀⠀⠀⠀⠀⢠⠋⢠⠇⠀⢀⣠⣾⣿⢿⣻⢏⣯⣿⣿⡏⠾⠗⣤⣤⣌⡙⠳⠶⣭⣛⡳⢿⣤⣁⣾⣿⣿⢧⣿⣿⣿⣿⣿⣿⣿⣿⡏⢾⣿⣿⣿⣿⣿⣿⡾⣿⣮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢧⣿⣿⣿⡿⣽⣿⣯⡷⣞⣽⣽⣿⣿⡟⣜⡱⢊⣱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣢⣾⡇⠀⢹⣠⣿⡿⣿⣿⣿⡟⠀⠀⠈⢆⢿⣶⡆⢳⢸⣿⡽⠊⡅⠀⠀⢀⣠⣷⣾⣍⡀⠣⢡⠣⢰⣉⠛⢾⣾⣷⣿⣹⠞⣛⣻⣿⣧⡀⠀⠀⠈⠑⢄⠀⠀⢠⠂⢀⡞⢀⡴⢋⣷⣿⡽⣾⣱⢯⣿⣻⣿⣿⣦⣼⣟⠁⠉⠙⠓⢶⣤⢈⣙⠳⠶⣭⣽⣛⣯⣿⣟⠻⢿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣯⢻⠿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢿⡽⣿⣝⡻⣟⣿⠿⡿⢦⣳⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠿⣿⣛⣿⣶⣾⡟⠛⢫⢫⣉⣋⡁⠀⠀⠀⠈⣎⠉⠱⠀⡇⠉⣓⣤⠶⠒⠉⢹⣿⣿⣿⣿⣿⣶⣤⣉⠆⣌⣍⣾⣹⢻⣷⣏⣙⣿⣿⣿⣽⠗⠀⠀⠀⠀⠈⢳⡄⠀⣀⣞⡴⣻⠃⠈⢸⣿⡻⣵⣫⣿⣳⣿⣿⡏⣹⡿⣼⢀⣿⠏⣰⡄⣾⠛⡿⢗⣶⣆⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣟⣳⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⣿⣿⣽⣻⣿⡽⢿⣻⢿⣯⢿⣝⢿⣯⠽⣭⢫⡝⣯⢛⣧⢿⡭⣏⣽⡞⣯⢳⣭⢛⡼⣭⢫⡽⣩⢯⡹⡝⣮⠅⣏⡳⣭⢃⣴⣯⣼⣯⣽⣯⣿⣧⣻⣽⣹⢎⡳⣭⠳⣍⡻⡜⣭⢫⡽⣍⢯⡽⣩⢯⡝⣞⣯⢟⡽⣭⢻⡝⣯⡻⣽⡹⣏⢿⣹⢏⡿⣭⣟⣯⣿⣿⣻⢯⣿⣻⣿⣟⣿⢿⣿⣿⢿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣻⢿⣯⡿⣿⣯⣷⣾⣻⣯⡟⣮⣛⣿⣞⢧⣛⣿⣜⢧⡻⣜⣏⢾⣟⣷⢭⣚⣷⢻⡧⢞⡹⣖⣣⠟⣴⢫⢶⡹⠵⣎⠇⣺⣱⣝⣮⠟⠿⣩⠟⠛⠻⠿⢿⣿⣿⣿⣯⣾⣱⣛⣬⢳⡹⡜⣧⣛⣬⢳⢞⡱⣏⢾⣝⣮⢻⡜⣧⢯⣝⠶⣝⡶⣹⢮⡟⡵⣯⢳⣟⣼⣿⣳⣏⣷⣻⡾⣏⣷⣾⣿⣿⣻⡾⣟⣷⢿⣯⣿⢿⣻⣷⡿⣟⣯⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⢿⣾⣿⣻⣿⣷⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣾⣿⢿⣾⡽⣿⣽⣻⣷⣻⢿⣼⣳⣯⣟⣧⣏⢾⣹⣷⡭⣖⡻⣷⣧⢳⡜⣮⢻⣽⡧⣏⢾⡟⣯⡝⣳⠼⣥⢻⣜⣣⠷⣽⣿⣾⠟⠉⠉⡀⠀⢀⡖⢫⠟⢢⡄⣀⠀⠀⠀⠛⢽⣿⣿⣿⣧⣗⣣⠟⣶⠱⣎⢯⢞⡳⣭⠿⣜⢮⡳⣝⢮⡳⢏⡿⣙⠾⣭⡳⣽⢳⡽⣯⣿⣟⡷⣹⢟⡼⣏⣷⣻⣷⣿⣻⣞⣯⣽⣟⣾⣻⢾⣽⣿⣻⣽⡿⣿⣻⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⢿⣷⣯⣿⢿⣿⣿⣿⣷⣯⣟⣿⣿⣿⣿⣿⣿⣿⣶⣯⢷⣯⣟⢿⣿⣷⣞⡳⣎⠿⣷⣧⢻⣿⣮⡳⣭⢻⣎⢷⣡⠟⣯⢿⡼⣩⢿⣻⡜⣧⢻⣬⣳⣮⣶⣿⡟⠋⠁⢠⣾⠯⠷⣺⡏⠀⠀⠀⠉⠘⠻⡟⠀⣴⢤⡄⠀⠀⠛⢿⣿⣷⣟⢦⢻⣜⣣⢞⡵⣏⠿⣜⢧⣛⡼⣣⢟⡽⣚⡭⣟⠶⣝⣮⣟⣾⣿⣻⢼⡻⣝⢾⣹⣟⣾⣿⣻⢞⣧⣟⡾⣳⢾⣳⣯⣟⣷⣯⣟⣯⣿⢿⣻⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⢿⣾⣽⣻⢿⣾⣽⣻⣿⣿⣟⡿⣾⣿⣿⣿⣽⢿⣿⣿⡿⣮⡿⣷⣎⢿⣿⣻⢮⡻⡜⡽⣯⢿⣟⡽⣒⡏⡿⡜⣖⣫⢽⣟⣷⢭⢻⣞⡿⡴⢫⣿⣿⣿⠟⠋⠁⣠⠖⠉⢀⠤⢊⡡⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠃⣿⢲⠂⣸⣿⣿⠿⣎⡳⣜⢎⣧⢟⣮⢻⡜⣣⢞⡵⣫⠞⣵⢫⡞⣭⢻⣼⣳⣿⣟⡳⣭⡳⣽⣚⣯⣷⣿⢯⡗⣯⣻⢞⡾⣝⣯⢿⡽⣾⣻⡽⣾⣻⣽⣾⡿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣻⢿⣾⣝⡷⢿⣞⣿⣿⣷⣽⡻⣿⣿⣻⣾⣽⣿⣯⣿⣾⣽⣞⡼⣷⣏⡟⣿⣼⠹⣯⣻⣜⠧⣝⡺⡕⢮⠵⣎⣿⣹⣎⢯⣷⢿⣽⣿⣿⣿⠇⠀⠀⠈⣁⣤⣞⡡⠖⢉⠔⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠃⠈⣿⣜⣣⡝⢮⡞⣧⢻⣬⠳⣭⢛⣮⢓⣧⢻⡜⣧⢻⣼⣿⣾⣿⠿⣜⡳⢧⣛⣶⣿⣿⣛⡮⣗⡯⣗⢯⣏⣷⢻⡼⣿⣹⢷⢯⣟⣷⢿⣽⣾⡿⣟⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣾⣽⣻⢿⣮⣛⠿⣿⣿⣿⣷⣽⣿⣾⣿⣿⣿⣿⣿⣯⣿⢿⣿⣿⣞⡵⢫⢿⣼⣧⢻⡝⡮⣕⢯⣣⣿⣿⢏⣷⢻⡞⣼⣿⣿⠿⠋⠁⠀⠀⠀⠀⢡⠎⠁⠔⠊⣁⠤⠊⢡⠆⣠⢀⡴⠀⣤⠀⡀⠀⠀⠀⠀⠀⠈⢆⠸⣗⢮⢞⣣⢟⡼⢳⣬⢛⡼⣋⢶⣋⢶⣋⠾⣥⣿⣿⣿⣿⢫⢟⡼⣹⣳⣿⣿⣛⠶⣝⣞⢧⡟⣾⡹⣞⡾⣏⡿⡵⣯⣟⣾⣻⡾⣟⣯⣷⡿⣟⣯⣷⣿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣻⢿⣾⣽⣻⢿⣿⣿⣽⣻⢿⣾⣝⣻⠿⣧⣻⢿⣾⣽⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣯⣿⡿⣯⣛⣼⣿⣿⣷⣝⣳⣾⣾⣿⣿⣛⣎⢞⣯⣿⡾⣋⣡⣤⠆⠀⠀⠀⠀⢀⣈⡤⠴⠚⠁⠀⠀⡠⢃⣴⣵⡟⣠⣾⡇⢰⠃⡇⣰⠀⠀⠀⢄⠈⡄⢿⣎⡳⣝⢮⡝⣣⢞⡹⢶⣹⠲⣝⡲⣭⣳⣿⣿⣿⢏⣧⡛⣮⢷⣿⣿⢻⡼⢭⣛⠾⣜⢯⡞⣵⣻⢵⣛⡾⣵⣻⢧⣟⣾⣳⣿⢻⣽⣾⢿⣟⣿⣽⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣿⣻⡿⣿⣿⣿⣿⣟⣿⣿⣷⣯⣟⣿⢾⣽⣻⡿⣿⣾⣽⣻⠿⣷⣽⡻⢾⣿⣿⣿⣿⣿⣽⣻⣟⣾⣿⣿⡝⡻⣿⣝⣷⡞⣿⣻⣿⣿⣿⣿⣟⣿⠳⡜⣬⢻⢟⡻⣿⣿⡯⠇⠀⠀⢀⣀⣀⣎⡤⣴⠚⠁⢀⣠⣾⣷⣿⣿⣿⣽⢿⣽⢠⡿⣼⢁⡇⡇⡆⢧⠈⡆⢱⢸⣷⢻⡜⣧⣾⣽⣾⣿⣿⣿⣿⣿⣷⣾⣽⢿⣿⢫⣞⡶⣹⣾⡿⣟⢮⡳⣭⢳⣏⡟⣮⡳⣽⢣⡟⣮⢗⣟⡾⣽⣻⡞⣷⡽⣾⣻⣽⣾⢿⣻⣽⣿⡾⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣾⣽⣻⣟⡿⣿⣾⣽⣻⢿⡿⣿⣿⣿⣿⢿⣿⣾⣭⣟⠷⣿⣽⣻⢿⣷⣯⣟⢯⣿⣿⡿⣉⠻⢾⣷⣿⣿⣿⣿⠒⡵⣈⠛⣿⣿⣿⣿⣿⣿⣷⣟⣿⣯⣝⡳⢬⡓⣮⣷⡿⢋⣰⠀⠀⠈⣉⣭⣥⣶⣎⣡⣴⣾⣿⣿⣿⣿⣿⣿⣿⣯⢿⢃⣾⣱⡏⣼⣼⣇⡇⡟⢃⠘⡌⡎⣿⣣⢻⣽⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣾⣿⣿⣿⣱⢫⢶⡹⢎⡗⣮⡝⡶⣝⢮⡳⡽⣞⣯⢾⡽⣳⢧⣟⣳⡽⡷⢯⣷⣯⢿⣻⣽⣾⢿⣿⣿⣿⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣽⣟⣿⣻⢿⣷⣯⣟⣽⣻⢿⡾⣵⣯⣻⠿⣷⣯⣟⣻⠿⣷⣾⣹⡟⣶⣯⣻⣿⣿⣟⡰⢡⢋⡜⢿⣿⣿⣿⢇⠫⡔⣡⢋⡔⢿⣿⣷⢿⣿⣿⣿⣿⣿⣿⣯⣶⣿⣿⣿⣿⣿⠟⣰⣶⣾⣯⣿⡿⣟⣿⣿⣿⣯⣷⠟⢻⡟⢛⣿⣯⢯⣟⣾⣧⣿⣹⣿⣿⣾⣇⡇⠸⡀⢣⠉⢿⣧⣿⣿⣿⡿⣯⢯⣿⣿⣽⡿⣟⡿⣿⣿⣿⣿⣿⢯⣽⣷⢎⡟⣬⢯⡝⢾⡥⣻⣱⣏⣾⣷⣿⡽⣺⡝⣾⣹⡞⣯⣳⡽⣟⣯⣷⢾⣟⣯⣿⣾⢿⣻⣽⣷⡿⣿⢿⣻⣽⣷⡿⣟⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⣿⣿⣷⣿⣽⣻⣟⡷⣿⣧⣿⣹⡟⣷⢯⣿⣻⢿⡷⣾⣭⣟⡷⣿⣿⢿⡟⢤⡙⡓⢮⡘⠬⣿⣿⣿⡿⣧⡜⢤⠣⡜⢚⣿⣿⣯⢿⣿⣿⣿⣿⣿⣯⢿⣿⣿⢏⡿⢟⣿⣯⢸⣿⣻⡿⣽⣽⢺⣿⣿⡟⠁⠀⡼⠀⢸⠃⢹⣿⣿⣯⣿⣷⣿⣿⣿⣿⣿⣷⠀⢱⡈⠀⣼⣟⠫⡔⣻⣽⣿⣿⣿⣿⣽⣻⣭⠿⣽⣿⣿⣿⣿⣿⣿⣿⣾⣿⣟⡮⣝⣷⣿⣿⣿⣟⣯⣟⣿⣷⢧⡻⣵⡳⣟⢯⡷⣻⡽⣧⡿⣟⡾⣯⡷⣿⣻⢯⣟⣾⢿⣻⣟⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣽⣿⣻⢿⣿⣷⣯⣽⣛⢿⣳⢿⣼⣝⡻⣟⡷⣯⣽⣿⡿⣿⡟⡱⢢⠱⣉⠦⡙⣌⣿⣿⣿⣿⣽⢿⣦⡓⣌⢣⠹⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣾⣽⣿⣜⡣⢿⣇⣤⠙⠻⣟⡷⣞⣟⠾⣿⡅⠀⠀⠀⢀⡏⠀⣾⣿⣿⣿⡿⣿⣿⣿⠛⣿⣿⣿⡆⠀⢱⡀⢻⡿⢣⠜⣹⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣻⡽⢾⣿⣿⣿⣿⣿⣳⣿⣾⣿⣟⣾⣿⣿⡿⣟⡻⣭⢳⡽⣲⢻⣼⢯⣞⢷⣛⣧⣟⢯⣟⣳⣟⡷⣻⣯⣿⡾⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣽⣯⣟⡿⣳⢿⣼⣝⣻⣛⡾⢯⣿⣿⣽⠏⡴⢡⣃⠳⢌⢲⣵⡟⣧⠽⡹⢿⣿⣯⣟⣿⣦⣋⡜⡹⣿⣿⣷⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡆⠐⣿⡽⢯⣾⠰⡹⣷⣄⡀⢀⣋⣤⠾⣿⣿⣿⡟⣱⠟⣹⠃⣸⢿⣿⣿⡗⠀⠸⡿⢦⣿⣢⡽⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣵⣻⢟⣮⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⠷⣽⣶⣽⣾⣷⣾⣷⣿⣼⡷⣚⣯⡽⣞⡞⣯⣞⡷⡿⣞⣿⣽⣾⣿⢿⣿⣻⣯⣿⡷⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⢾⣯⣿⣿⣿⣻⣿⢿⣿⣿⣿⣾⣯⣟⣟⣿⢻⣾⣭⣯⣛⡿⣿⣿⣭⡛⡜⠲⡅⢎⣱⣾⡟⣧⣛⣬⢛⣭⡓⣟⣿⣿⣾⣽⣻⣶⣡⡙⣿⣿⣿⣷⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣇⢿⡽⣯⢿⡣⣱⣩⣽⣿⣿⣍⣦⢩⢹⣿⢿⡃⠁⠴⠃⠀⠋⣼⣿⣍⠀⢲⡄⢻⡶⢯⣟⣵⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⢻⣞⡿⣿⣿⣽⣿⣿⣿⣼⣿⣿⣿⣽⣾⣿⣾⣧⣟⣿⣿⣹⢶⡻⣞⣽⢯⣾⡽⣟⡿⣯⣟⡷⣯⣟⣾⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣿⣶⣷⣯⣾⣝⣯⡟⡷⡾⢷⣯⣟⣻⣻⠿⡿⣷⣾⣭⣿⣽⣿⣳⠧⣜⣡⠓⡜⣶⣿⢣⡟⡴⡳⣬⢳⢲⡹⣲⡜⡽⣻⣿⣷⣽⣻⣶⣡⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⣿⣿⣤⣉⠙⠻⣟⢾⣻⡎⠷⣤⣀⣀⣧⣾⡿⢧⣸⣆⠸⣿⢷⣿⣿⣼⡿⣏⠷⡭⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡿⣚⣿⣿⣳⢿⣿⣿⣿⣯⣷⣿⣿⣿⢿⣛⣟⣻⣛⣟⡧⣟⢾⣹⣛⣮⡟⣾⣹⣏⣷⡿⣾⢿⣟⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣮⣷⣯⡽⣏⣿⣻⣿⡿⢿⢿⣿⣟⣿⣿⣿⣷⡳⢮⠷⣽⣿⣻⠛⠶⠶⢤⣻⣾⡟⣬⢳⣝⣳⢳⡥⣏⢧⢳⣱⡚⡵⣣⢛⣿⣷⣿⣞⡿⣶⣢⠙⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⣿⣿⣻⣿⣾⡿⣟⣿⣻⣿⣿⣿⣿⣦⣌⡻⢭⣙⣮⢍⡻⣒⣴⣟⣱⢮⡿⣿⣦⣿⣿⣿⣿⢟⡱⣭⣳⡿⣏⡳⣜⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⣫⣟⡾⣽⣻⣿⣿⣿⣿⣽⣾⣷⡾⣷⣿⣼⣵⣯⢞⣧⢻⢶⣛⡷⣯⣽⣾⡽⣷⢿⣻⣟⣿⣽⣿⢾⡷⣿⣾⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣾⣷⣾⣽⣽⣭⣟⣻⡟⡿⢿⠿⣿⢿⣾⣗⣛⢿⣿⣿⣿⣯⢧⣍⣣⢋⣾⢿⡱⡝⣎⢷⡸⢎⣗⡳⢮⡝⢮⡱⣝⡲⣍⠷⣪⢝⡿⣿⣿⣿⣿⣧⡱⢦⡙⡻⣿⠿⣿⣿⣿⡇⠀⣾⠿⣿⣧⢿⣿⣽⣿⣶⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠢⣵⣿⣟⡾⡽⣯⢷⣻⣾⣛⣧⡿⣙⣎⣷⡿⣏⡳⡵⣙⠶⣭⠳⣭⢻⣿⣿⣿⣿⣿⢿⣻⢿⣳⡿⣿⣿⣿⣾⣷⣏⡿⣿⣿⣽⣿⣿⣾⣿⣿⣿⣽⣯⣿⠾⣜⣯⢯⣟⣽⣳⣟⣾⢻⣟⣿⣫⣿⣽⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣯⣿⣯⣟⣿⣻⢿⣿⣿⣿⣿⣶⣯⣼⣻⣿⣮⣿⣿⣿⢿⣷⣴⢌⣽⡏⡷⣙⠞⡼⢦⡛⡭⢶⡙⣧⢛⡧⣝⠶⣹⢬⢳⡍⠾⣜⠽⣿⣿⣿⣿⣿⣦⡱⠱⣌⠲⡡⢆⣾⠁⡄⣿⡗⢬⠻⣯⣿⣿⣿⣭⣭⣝⣛⠿⣿⣿⣿⣿⣿⣿⣷⣿⡟⣷⣫⣾⣿⡽⡟⣝⢦⣿⢯⡱⣏⣾⣏⢷⢪⣕⡳⣹⢚⣖⣻⣾⢿⣯⣷⣿⣿⣿⣿⣻⣿⣿⣟⣿⡽⣿⣿⣿⣿⣽⢯⣿⣿⣿⣿⣿⣝⡯⣝⣻⠿⣿⢻⡽⣞⣻⢮⡷⣟⡞⣯⣟⣯⣻⣽⣯⣷⣯⣿⢾⡿⣟⣿⣻⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣽⣯⣿⣭⣿⣹⣯⣿⣟⣿⣻⣶⣷⣾⣭⣿⣿⣿⣿⣯⣟⣿⣿⡾⣽⣿⡯⢼⡱⢭⣚⠵⣣⠝⣎⢧⡹⣜⢣⡞⣭⢛⡶⣋⡞⡼⢫⡼⣹⣿⣿⣿⢿⣿⣿⣷⡣⢌⢣⡑⣾⠇⠀⠀⢿⡏⢲⡉⠞⢿⣿⣿⣿⣷⣮⣍⣛⣮⣽⣿⣿⣿⣿⣿⣾⣿⣿⣿⢟⡏⡾⣙⣾⡟⢧⣺⣵⣟⡳⡜⣎⡳⣬⢓⣧⣛⢾⣿⣿⣿⣿⣿⢿⡻⢿⣿⣿⣿⣿⣟⣾⢿⣻⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣽⣳⢻⡭⣏⢷⣫⢗⣯⠾⣝⣻⡽⣞⣽⣳⣟⡾⣷⢿⡾⣿⢿⣻⣟⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣯⣯⣿⣿⣽⣿⣿⣻⣟⣻⣛⠿⣿⣶⣿⣿⣿⣿⣾⣧⣟⣿⣷⢿⣿⣧⣝⣣⢎⡳⢥⡛⡜⢦⡓⣎⢳⡜⣥⠻⡴⣋⢾⡱⣏⢶⣻⣿⣿⢯⣟⣮⡟⣽⡷⡘⢦⣽⠏⠀⠀⠁⠸⣏⠦⡙⡜⢢⡙⢿⣿⣿⣿⣿⠟⣫⢹⣿⣿⠸⣿⣿⣿⡿⢏⣮⢓⡞⣱⡿⣏⢞⣷⡟⢧⡎⣵⡹⢬⣳⣱⢏⡶⣩⠮⡝⣿⡟⢯⢣⢇⡏⢧⣋⠿⣿⣿⣿⣿⣟⣯⣿⣿⣯⢿⣿⣿⡿⢿⢿⢿⣿⣿⣿⣷⣯⡼⣹⢎⡷⣫⣞⣻⣭⢷⣯⡽⣾⣳⢯⡿⣾⣟⣿⣻⣟⣿⣻⣟⣟⣯⣿⣽⣯⣿⣽⣿⣿ ⣿⣿⣿⣿⣻⣟⣟⣿⣛⣟⣻⣿⠟⡿⢿⢿⣿⣿⣿⣾⣿⣿⣿⣾⣽⣷⣒⣒⣣⣍⣻⣿⣜⣧⢹⡙⡶⡹⣌⠳⣜⠲⣭⠳⣍⠶⣙⣎⠷⣿⣿⣿⢫⣞⣶⢻⡽⣗⣩⡾⠃⠀⠀⠁⠀⠐⣿⡬⢱⠌⣧⣜⢒⠲⣌⡜⢢⡙⡤⢻⣿⣿⠀⣿⣿⡏⡽⣚⡴⣋⣾⠿⣱⣾⢟⣣⢞⣣⠞⣥⣏⣷⢫⣵⢮⣱⢣⣛⠼⣑⣎⣷⣭⡞⣜⣣⡝⢮⡕⣫⢟⣿⣿⣿⣿⣿⣿⡿⢯⢳⡹⡭⢞⢮⡹⢿⣿⣿⢯⡳⣭⢻⣜⣧⣛⡶⡽⣞⡶⣟⠷⡯⢟⢷⣛⣾⣹⣏⡿⣽⢯⣟⡻⣏⣿⣹⣭⣯⣝⣷⣯ ⣿⣿⣽⣟⣿⣻⣟⣿⣻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣿⣿⠿⣿⢿⣷⣝⡻⣷⣿⠴⡳⣍⠻⣌⠷⣌⡳⢎⡽⡱⢎⡽⣿⢿⣽⣛⣾⣣⣿⣽⡟⠋⠀⠀⠀⠀⠈⢀⠀⢸⣷⣉⠞⡤⢻⣿⣶⣦⣼⣷⢟⡋⣿⣿⣿⡄⢸⣿⣻⣷⡭⣶⢿⢫⣽⡟⡵⣋⠶⣋⢶⣛⠾⣿⡬⢣⣿⡾⠟⠛⣻⣿⢿⣋⡿⠿⢟⡿⣦⡝⡶⣭⢳⢮⡝⣻⢛⡿⢿⡹⣜⣣⠯⣕⢯⡹⢎⡽⣲⢭⣛⢮⡳⣭⢳⠞⡶⣹⢚⡵⣫⡼⣝⠾⣝⢯⢻⡙⢞⡱⣋⣭⣩⣍⣮⣽⣹⣼⣷⣻⣾⣿⣯⣿ ⣟⣯⣛⣟⣻⣛⣿⣹⣿⣛⣿⣛⣹⣿⣻⣟⣿⣿⣻⣿⣿⣿⣟⣿⣿⣟⢯⡜⣫⠖⣭⢛⡻⢟⡿⣻⢏⡵⣎⡝⣎⢳⢎⡵⣋⠶⣙⢎⡖⣿⡬⣙⢻⡙⢏⡹⢼⡇⠀⠀⠀⠀⠂⠐⠀⠀⠀⢿⣧⡚⡔⢣⠹⣿⣿⡿⣩⢆⣹⣿⣿⣿⠆⠈⣷⢯⣿⢻⣝⣾⢟⣣⡝⡞⣭⢳⡝⣎⡞⣽⣿⠿⠟⠻⠷⣷⣌⠱⢢⣾⣿⣇⣀⠀⣱⣜⢿⡵⣋⠞⣦⡙⢦⡛⣜⣣⢳⡜⣲⡝⢮⠶⣙⣏⠶⡹⢲⡙⣎⡱⣥⠳⡞⠵⠓⡋⢓⠡⣉⡌⣱⣈⣦⣣⣽⢮⣷⣻⣾⣽⣯⣿⣽⣻⣿⣽⣿⣻⣟⣿⣿ ⣿⣻⣟⣻⣭⣏⣹⣿⣿⣟⣉⣹⣿⣽⡿⢭⣛⡿⣿⣿⣿⣿⣿⣿⡿⢭⡞⡼⢥⣛⠦⣏⣜⢣⢞⡱⢎⡳⣙⠾⣱⢏⡞⡼⣱⢫⡜⢮⡜⣽⡧⣙⠦⣙⢎⡱⢎⣷⠀⠀⠀⠀⠀⠀⠐⠀⡀⠈⢿⣷⣈⠧⣉⢿⡟⢢⡓⣬⣿⣿⣿⣿⠀⠀⣿⣻⢾⡇⢿⡳⢮⡱⣞⡹⢲⡍⣞⣼⣿⢫⣴⣷⢮⣖⣩⡙⣿⡌⣋⠿⣮⡉⠭⠿⣿⠟⡻⢿⣭⣛⣴⡹⢣⡝⢶⡩⢶⠹⡱⢚⣍⢮⡱⠜⠲⠙⠃⠙⡈⢡⢠⣡⡰⣤⢳⡴⣫⢾⡵⣻⡵⣯⢷⣯⣻⣯⢿⣽⣳⣯⣿⣽⣯⣿⣽⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣯⣿⣽⣯⣿⣭⣽⣮⣽⣯⣿⣧⣦⣤⡴⣤⠬⡍⠛⠻⠖⠳⠧⣚⡝⣚⢬⠳⣚⠬⣏⢮⣱⢋⡶⣩⢞⡱⢎⡽⣱⢋⡶⣹⢦⡝⣾⡗⣿⡘⡥⢎⡴⢻⣿⣆⠀⠀⠀⠀⠀⠀⠐⠀⠀⠈⢻⣶⠱⡌⢾⣏⡱⣼⠟⣹⣿⣿⡟⠀⠀⣿⣽⣻⣧⢸⣯⢗⡹⢦⡙⢧⣚⢼⣿⣷⠿⣏⠽⠀⠀⠙⣶⢹⣷⣾⡛⢛⣷⣾⣉⡟⢻⡛⠻⣏⢿⣏⣱⢋⡜⠣⠚⠅⠋⣁⢉⡠⣄⡰⣌⠶⣡⢏⡷⣹⣋⢷⢣⡟⣼⢣⡟⡵⢯⡞⡷⣽⡞⣯⢾⣳⣯⣿⣽⣯⣿⣽⣯⣿⣻⣟⣿⣻⣛⣿⣻⣟ ⣿⣟⣿⣻⣟⣿⣯⣿⣽⣯⣽⣿⣿⣯⣷⠾⡵⢿⠶⣻⢞⡻⣖⢶⡲⣤⠤⣄⣉⡈⡑⠉⠒⠎⠦⢍⣋⢖⠳⢎⡵⣋⢶⣡⢏⠶⡱⢎⡝⣺⣿⣻⢥⠓⣬⢺⣿⣿⣿⣦⡀⠀⠀⠀⠀⠁⠀⠐⠀⠀⠹⣷⡌⣿⣣⡾⠋⢠⣿⣿⣿⠇⠀⠀⣼⣳⢯⣿⣿⡗⣮⡙⢶⣩⠳⣼⣻⡏⣽⡆⠀⢀⣠⣶⣿⣟⣾⠏⣰⣿⣻⡿⣭⣿⣟⠙⣿⢁⡟⣾⣇⡠⢤⣰⢒⠶⣪⢗⡭⣞⡱⣎⠷⣙⢾⡱⣏⠾⣱⡝⣮⢳⡝⣮⢯⡝⢻⠛⠾⠹⠖⡻⣙⠯⣧⢷⣬⣦⣷⣼⣦⣷⣭⣿⣽⣟⣿⣿⣿⣿⣿ ⣿⢿⡿⣟⣟⣯⣝⣭⣩⣍⣭⣍⡞⡴⢫⠽⠹⠞⠻⡱⠞⣵⣋⢮⡵⣣⢟⡼⣡⢯⡹⢭⡳⢖⡲⡤⢤⣈⣉⢌⠒⡉⠆⠳⠪⡝⣱⢫⠼⡥⣿⣾⢎⡹⢄⡫⢿⣾⣿⣿⡹⣦⡄⡀⠁⠀⠠⠀⠀⠄⠀⢈⣿⠟⠉⡀⢠⣿⣿⣿⣿⠀⠀⢀⣿⣽⣿⣿⣿⡹⢦⡝⣣⢎⠷⣻⣟⡔⣿⣷⣴⣿⣿⣾⣛⡾⠏⡰⣏⣁⣽⣀⣾⣿⣿⣿⣿⣼⠃⣽⣷⡹⢣⡞⣭⢳⡓⢮⠵⣊⠷⠩⠞⢩⢒⡙⣌⡙⣤⣩⢤⣣⡜⣤⠶⣜⡧⣟⣻⣛⡿⣛⡿⣻⢟⡾⣷⢿⣾⣽⣯⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿ ⡿⣟⣿⣛⣯⣏⣯⣽⣧⣿⣶⣽⢾⠷⣟⢾⡛⣟⡳⣝⡳⣦⡜⣦⠴⣡⢎⡴⣉⣒⣉⢣⡙⢎⠳⠍⠷⡩⢞⢮⡹⣕⣫⢓⡶⣰⠤⣬⣐⣡⢹⣟⠦⣙⠦⣙⢎⠻⣿⣝⣿⡷⣮⢹⣷⡆⡴⢠⣂⣶⣾⡿⠋⠤⣄⣤⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⡟⡧⡝⢮⡱⣍⢮⠳⣿⡏⣔⠫⣿⢻⡿⡿⠷⠟⢀⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⡏⣟⣁⢻⣿⣡⢣⡜⣤⢲⡜⢦⠶⣱⢎⠷⣫⣓⡏⡾⡜⣽⠲⣝⢮⣇⠿⣜⣻⣜⣳⡽⢶⣯⣝⣯⡽⣏⣿⢻⣽⣻⢾⡷⣯⣿⣽⣯⣟⣿⣻⣿⢿⣿⣿ ⣿⡿⣿⢿⣻⣛⡿⣭⣻⣼⡶⣽⢮⡟⣞⣳⢻⣍⣯⣵⢯⣶⡽⢶⣛⠷⣋⢷⡹⣬⢋⡧⣝⠮⣝⡺⡕⢶⣊⠶⡴⢢⡥⢭⡔⣩⢚⡑⣎⢒⠫⣿⡟⣆⠳⣌⠎⡵⢊⡝⡻⢷⣿⣧⣿⣼⣶⡷⣿⠿⠋⠀⠀⠈⢿⣿⣿⣿⣿⣿⣀⣀⣰⣿⣿⠟⠧⡝⢲⣉⢣⡱⢬⡴⣾⢿⡧⣉⢾⣟⣿⠀⢼⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣾⡘⢿⣷⢫⡜⢶⡓⢾⣙⡞⣱⢎⣟⡱⢮⠵⣳⡹⢖⡻⣜⡳⣎⠿⣜⡳⣞⢧⡻⢷⠾⣼⢧⣿⣽⣛⣿⣳⢿⡿⣾⣷⣿⣾⣽⣿⣻⣿⣿⣿⣿⣿ ⣿⢿⣟⣟⣻⣽⣯⣽⣷⣾⣷⣿⣾⠿⣟⣟⡻⢯⣝⢮⡗⠾⣜⢧⢫⣞⡹⡲⣝⢲⢫⡜⢮⡝⣲⠝⣼⢣⡝⣎⢗⣫⡜⢧⢞⣱⢫⡝⣬⢏⡳⢽⣿⣮⡗⡬⢚⡔⣋⠶⣅⠣⠒⠘⠐⠂⠀⠁⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡏⠉⠉⢹⣿⢿⣿⣩⠳⣍⡳⢬⢇⡳⣧⣾⠋⣸⣷⡡⢿⣿⡜⢷⣾⢿⣿⢿⡻⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⠘⣿⠀⣿⣧⡛⣼⢣⢏⡳⣎⠽⣥⡛⢦⣛⡭⡞⡵⣭⣋⠷⣭⢳⣭⢻⡼⣹⢭⡻⣝⡯⢿⢾⡽⣮⣽⣏⣟⣿⣻⢿⣷⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢿⢿⣻⣛⣯⣽⢧⠷⣞⣻⣙⢮⣝⣳⢮⠷⣚⠿⣬⣋⡷⣬⢳⠽⣘⡏⡧⣝⣣⠞⣥⣛⢦⣛⡜⡞⣬⠳⣜⢫⠞⣬⣓⠮⡵⣪⢝⡎⢿⣷⣿⡰⣋⠴⣃⠞⣹⡆⠀⠀⠠⠀⠀⠀⣀⣀⣠⣤⣴⡴⢾⠿⡿⠿⠷⢦⢤⠾⡿⢿⣷⣮⣓⡧⣹⢓⣮⡷⣿⠏⣰⠏⡼⢷⡣⢍⠿⣦⢹⣿⢿⣮⣽⠛⠚⣿⣳⡾⡍⢛⣿⣿⡿⢄⡿⣄⣿⢧⢻⠴⣋⢾⡱⣎⢟⡴⢫⡳⢭⢶⡹⢵⡲⣭⢻⣜⡳⣎⢷⡹⢧⢯⢷⣭⣛⡟⣾⢳⣯⢷⣯⣟⣻⣟⡿⣾⣷⣿⣽⣯⣿⣻⣿⣿⣿⣿⣿ ⣿⣽⢾⣾⢻⡻⣭⣻⣜⣮⡽⠿⣞⢶⣫⣻⣬⢷⢮⠿⣹⢞⣭⡳⡵⣎⢟⡺⣥⢻⡜⢶⣩⠞⣵⣊⠷⣘⢮⡝⣲⢛⡬⢏⣞⡱⢮⣙⠶⣍⠾⣘⠧⡿⣿⣷⣷⡸⣘⣬⣳⣿⣀⣤⡴⢶⡛⢻⣉⠯⡑⢎⠴⣉⢎⡱⢌⢣⡙⣆⣮⡷⢾⠷⡶⠾⠿⣿⣿⠟⣉⠰⣿⠶⡛⢬⡑⢎⡱⢌⢲⡑⢎⡹⣶⡌⢻⣷⣾⣙⣿⣶⣾⣾⣽⠃⢀⣾⡑⣾⡿⣏⢧⣛⢭⡖⡳⡭⢞⡼⣣⢏⢷⡪⣝⢮⢵⡣⣏⢮⡳⣝⢮⣝⡻⣞⠷⣮⣽⣻⡽⣳⢾⣯⣾⣽⣏⣿⣻⢷⣿⣾⣿⣻⣿⡿⣿⣿⣿⣿⣿ ⣷⣿⢾⡾⣟⣻⣽⣭⣿⣶⡿⣿⢻⣏⣟⣱⣯⠾⡽⡞⡽⣎⣧⢗⡳⡝⣮⢳⡭⢶⡹⣣⢞⡹⢦⡝⡺⢭⡖⣭⢣⢏⡞⡭⠲⡍⢧⢋⡞⣡⢏⡥⣋⣖⢻⣿⢿⣿⣿⣿⣿⡿⢋⠵⡘⢆⡙⢦⡘⠴⣉⢎⡒⢥⢊⠴⣉⠦⣙⢫⠱⡘⢆⠳⡜⢣⠓⡜⢣⡜⣌⢣⠛⡥⣙⠰⡘⢦⢸⣎⢦⣹⠶⡡⢿⣿⣄⡙⣉⣡⣤⡿⠿⢶⢶⠶⣛⣥⣾⢿⡱⣎⡳⢎⣳⡚⣵⡹⢭⢶⣙⠮⢧⣝⡺⣜⣣⢟⡼⣣⡟⣼⢳⣎⣷⣹⢻⢶⣭⣏⣿⣻⢿⣾⣷⣯⣟⣿⢿⣿⣷⣿⣾⣿⣽⣿⣿⢿⣿⣿⣿ ⣿⣾⣷⣿⣿⢿⣛⣯⣽⣮⣷⡿⢿⢻⣭⣛⣬⢿⢶⡻⣽⣹⣦⢟⣳⢛⡼⣣⢞⣣⢗⡳⢮⠝⠶⢩⢙⣢⡙⡤⣍⠶⣰⢖⡳⡹⢎⡳⢞⡱⣚⡜⡱⢎⢧⣽⣿⣟⣯⡟⢣⠜⡡⢎⡱⢊⡜⡰⢌⡓⣌⠲⣘⠢⣍⠲⢡⠚⡤⢃⢇⡹⢌⠓⡬⢡⢋⡜⣡⠚⢤⢃⠳⡰⢡⠣⣍⠲⣘⣿⣿⡽⢶⣥⣯⣍⣛⣛⠻⣍⢣⣚⣭⢶⣞⣿⡽⠿⡝⢮⡱⢧⡝⣫⠖⣝⡲⣭⠳⣞⣬⢛⢧⢮⢵⢣⣏⢮⣓⢧⡻⣝⣳⢾⣶⣭⣛⡾⣮⣽⣝⣻⣟⣶⣯⣿⣽⣻⡿⣷⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣿⡿⢿⣛⣯⣽⣶⠿⣟⣻⣭⣿⣾⣿⢾⡻⢭⠳⢮⠙⣎⣙⡲⣡⢋⡬⣔⠶⣒⢮⡳⣋⠷⣢⢏⡵⢮⡹⢱⢎⡵⣙⢮⡱⣋⢖⡣⢞⡹⢮⣿⣿⣟⣾⡟⢌⠣⢎⡱⢊⡔⢣⢌⡱⢊⠴⣨⠑⣆⠳⢄⡋⢦⡙⠴⣉⠦⡘⣌⠳⣌⠣⢎⠴⡡⢋⠦⣉⢖⣡⡧⠓⡤⢓⡌⠳⣄⠳⡌⢦⣩⣿⣿⣿⠿⣭⣿⣞⣿⡟⣯⠝⣎⣳⠲⢦⡜⣤⢩⣁⡛⡌⠳⠜⠫⠖⣎⠯⣞⣚⢮⣓⢮⡳⣝⢮⡳⣝⢮⡳⣭⣛⡿⢿⣷⣿⣾⣽⣻⢾⣷⣯⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⣯⣿⣶⡿⢿⣛⣯⣷⣾⣿⠿⠟⣛⣩⡥⢎⢦⣱⣎⣶⢶⡻⣭⣳⠷⣭⣛⡼⣎⢟⡭⠶⡹⣑⢫⡱⢎⡖⣣⢝⡣⢞⡲⣍⠶⡱⢭⢎⡵⣫⣽⣿⣿⢷⣫⡟⢤⢋⡜⢢⡑⢣⠜⡡⢎⠴⣉⠖⣡⢋⠤⡓⢬⡘⢦⡘⡱⢌⠲⡱⢌⠲⡌⢓⡌⣲⣡⣯⠶⠏⢋⠤⡰⣉⠖⡥⢚⡱⢌⡓⡜⣶⣿⣛⣮⢿⣿⣿⣿⢾⣫⢜⡬⣛⠜⡲⢏⣳⠺⣥⠻⣬⢳⡹⣝⡺⢵⣚⡴⢲⡤⣉⢦⣙⣊⠱⠋⠾⡱⢯⣞⡵⣳⡝⣞⢯⠷⣯⣿⣻⡿⣿⣷⣿⣽⣟⣿⣾⣯⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣯⣷⣷⣿⣿⡿⣟⣯⣵⡶⣾⢻⣝⣧⣿⠿⣟⢯⣽⣬⢷⣻⣝⣮⠷⡫⢝⡸⣌⢮⡴⢫⣕⢫⢧⡙⡞⡼⡱⢎⡵⣋⢶⣩⠞⣭⢳⣎⣳⢳⣿⣿⣯⡟⣽⠘⣆⠣⡜⡡⢎⡱⢊⡕⣊⠦⡑⢎⠴⣉⠶⡛⠶⠷⠶⠷⠷⠾⠷⠷⠾⠗⡚⢛⢋⡉⡡⢄⠲⣌⠣⢎⡱⢌⡚⣴⣣⣼⣶⣷⢿⣟⣶⣿⣿⢏⡯⡹⣌⠳⡜⢮⡱⢭⠞⣵⠺⣤⢛⣌⡛⠴⢫⠵⣎⣳⢋⡶⣹⢣⠷⣹⠮⣝⢯⠿⣿⣖⣳⢶⣮⣭⣳⣭⣍⣋⡛⠶⢭⡻⢽⢷⣯⣿⣻⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿ ⣿⣿⡿⣟⣯⣿⢾⣟⣻⣽⣮⣷⡿⣿⣻⣽⣾⢿⣛⣯⣷⣾⢿⣛⣭⢶⢫⣝⣭⠳⣎⠳⣜⢣⡎⡗⢮⡹⣜⡱⡝⣮⣱⢋⡶⢣⡟⡼⢳⡬⢇⣿⡿⣿⡞⣽⣿⠘⡤⢓⠬⡑⠦⣑⢣⢢⠱⣌⠱⣊⠖⡡⢎⡱⣉⢎⢣⣙⡜⣥⣛⣬⢧⡽⡜⢧⠞⠶⡑⢎⡱⢢⡙⢦⣱⣾⢿⣻⡟⣽⣳⢯⢯⣿⣿⡿⣙⠮⣖⠳⣍⣳⣙⠦⡝⢮⡙⢦⣛⢬⡓⢮⡹⣹⢣⢞⡴⣡⢏⡜⡣⢏⡻⣥⣟⡼⣫⣝⠶⣯⣟⡿⣶⣽⣛⡷⣯⣟⣻⢿⣶⣽⣲⡞⣦⣵⣍⣛⠿⣾⣿⣟⡿⣿⣿⣿⣿⣿⣽⣿⣿ ⣿⢾⣟⣻⣝⣮⣷⣿⢿⣻⣭⣷⡿⢟⣛⣭⣶⣿⢿⣻⣽⢾⠻⣭⣳⢾⢻⡱⣎⠳⣍⣳⣎⢷⣼⢟⣣⣷⢻⣱⣛⡴⣣⢟⡼⣣⢏⡝⣣⢞⡱⣾⣿⣽⣟⣳⢿⡜⣰⢉⠖⣩⠒⡥⢂⢇⠣⣌⠓⡤⢋⠴⣃⡶⡵⢞⠳⣋⢜⡡⢍⢆⢣⢒⡩⢆⡙⢎⣱⢮⣴⣳⣞⢯⣛⡾⣭⣷⣿⣧⣿⣿⡿⡟⡽⣸⢭⡳⣎⡟⣜⠦⣝⢺⣙⠶⡹⢦⣙⢦⣋⢧⠳⣥⢫⠞⡼⣱⢮⡹⡵⣋⢶⡳⣭⣛⣧⣏⠟⣮⣝⣻⢾⣝⣻⢿⣾⣽⣻⢷⣾⣝⣻⢿⡿⣾⣽⣻⢿⣷⣾⣻⢿⣿⣾⣽⣟⣿⣿⣿⣿ ⣯⣷⣿⢿⣟⣯⣿⣾⣿⣟⣯⣷⣾⣿⡿⣿⣽⡾⢟⣝⣮⡷⡟⣏⣧⡟⢮⣵⣮⢟⣯⣷⢾⣻⣼⡞⣟⣬⢳⢧⢞⣱⣏⠮⣕⣣⢞⡼⣱⣾⢟⡽⣿⣷⢯⣯⢟⣿⡄⢫⠜⡤⢋⠴⣉⢎⡱⢢⡙⠴⣩⠾⣩⠱⡸⢌⡓⡌⢦⢉⠎⡜⢢⢃⠖⣡⠚⣬⣟⡾⣷⣷⣾⣿⣿⣿⣿⣿⢛⠿⢿⣽⣸⡱⢳⡥⣳⢹⡬⣝⢮⢻⡜⡧⡞⣭⡓⢯⡜⣣⢞⣬⢳⡌⣧⢛⡵⢣⡞⣱⢳⡹⣎⢷⣹⣛⢾⣭⣟⣶⣮⡕⣯⣞⡽⣻⣾⣽⣻⣿⣾⣽⣟⡷⣿⣽⣯⢿⣿⣾⣽⣻⡿⣷⣿⣟⣿⡿⣿⣿⣿ ⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⠿⣟⣯⡷⣟⢯⣵⡾⡟⣏⣧⡷⣟⢯⣵⡾⣟⣭⡾⣟⣽⣾⡟⣯⢶⡹⣞⣜⣫⡾⣟⢳⢬⣻⠶⣍⣾⡾⢻⡜⡮⣕⣮⣿⣿⡞⣯⢾⡽⣦⣝⡰⣉⠖⡡⢎⡔⢣⠜⣡⢃⠳⣄⢣⡑⢎⠴⡑⢪⠜⡘⣌⠣⣎⣼⣲⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⢣⡙⡜⢢⢍⡛⠿⣷⣼⣡⠷⣘⡎⢧⢏⢾⣱⢛⡶⣹⠧⣞⡱⡞⢦⢏⡼⣲⢫⡜⢧⣚⣥⣋⠷⣹⣞⣧⣟⢮⣝⡻⣶⣯⣻⢷⣾⣽⣳⣾⣽⣻⣷⣯⣿⡿⣿⣿⣽⣻⣿⣾⣽⣻⢿⣿⣿⣽⡿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢿⣻⣽⡾⣿⢻⣹⣼⢟⢯⣣⣷⢟⡯⣳⣽⡞⣯⣧⣷⠿⣭⣷⣿⣛⣶⢻⣜⡷⣻⣼⢞⣯⡵⢮⣽⠾⣭⣿⢻⡱⣭⢳⣙⣶⣟⠳⣮⣿⣿⣭⣷⢫⡷⣏⡿⣽⠾⣽⣞⣾⣷⣿⣶⣻⣶⢮⣦⢽⣬⡖⣭⢦⡽⣞⣾⣽⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⢏⠦⡱⢌⠣⢎⡸⠱⡌⣍⠻⢾⣥⡻⡜⣎⡳⣜⢫⡜⣧⢻⡜⣧⢻⢭⡞⣱⢇⣏⠞⣧⣳⢲⣭⢻⣧⣟⣾⣝⡻⣮⡟⡷⣭⣟⡷⣯⣻⢷⣾⣽⣻⣾⣽⣻⣿⣿⣯⣿⣿⣿⣾⣿⣻⣿⣾⣽⣿⢿⣿⣷⣿⣯⣿ ⣿⣿⣿⣿⣿⡿⣿⢻⣭⣷⡿⣻⣝⣾⡾⡟⣏⣮⡷⣟⣻⣶⡿⣟⣽⣾⡿⣟⣷⠿⣹⣮⢿⣹⣾⢟⣵⣟⣳⣼⣟⣷⡟⢯⣜⣣⡝⣲⣽⡟⡵⣪⣿⣿⠻⣜⣿⣿⣿⣿⣿⣾⣷⣿⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣌⠲⣑⢪⡑⢎⡔⢣⠜⡤⢋⠦⣉⠟⣿⣶⣝⡬⢧⣙⠶⣙⢮⡵⢫⡞⣭⡳⣏⢮⣛⡶⣝⡷⣮⢻⢮⡽⣶⣛⡷⣧⣛⠿⣭⣛⢿⣽⣻⢿⣿⣿⣿⣿⣾⣿⢿⣯⣿⠿⣿⣿⣿⣿⢿⣿⣾⣯⣿⡿⣷⣿⣟⣿⣿ ⣿⣿⢿⣛⣧⣿⣾⠿⣏⣷⣽⢷⣛⣧⣿⢾⣻⣽⣾⡿⣿⣽⣿⡿⣿⣽⢟⣯⣳⢿⣻⣼⡿⣏⡷⣟⣳⣾⣿⠾⣛⣶⢏⡳⢎⣶⡿⡟⡵⣺⣽⣿⡟⣥⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡰⢌⡱⢌⠲⡘⢦⡘⠥⣚⠰⣉⠖⣡⠚⡤⢊⠽⣻⣷⣭⡞⣭⠲⣭⢳⡹⢶⣹⡹⢾⣟⣿⣭⢷⣟⢿⣭⡟⣶⣛⡿⣭⣟⣿⣝⣻⢷⣭⠿⣿⣿⣿⢿⣾⣽⣿⣿⣧⣼⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⣿⣼⣿⢿⡻⣝⣮⣿⣟⣻⣼⣷⣟⣯⣾⣷⣿⣻⣷⣿⣿⢿⣽⢿⣫⣾⡽⣫⣷⣿⢟⣧⡿⣏⣷⣿⣿⢫⣎⣷⠿⣍⠾⣭⣿⠻⣜⣵⣿⣿⡟⣧⢻⡼⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⠴⡑⢎⠴⣉⠖⣩⠒⣌⠓⡤⢓⡌⡚⢤⢋⠴⣉⠖⡡⢆⡝⠿⣶⣻⡴⣋⢾⡱⣎⡽⣿⣬⢳⡻⣷⣯⢿⣞⣻⣷⣛⣷⣭⡟⣶⣻⢿⣾⣽⣻⢷⣯⢿⣿⣭⣟⣿⣾⣿⣿⣿⣾⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣛⣮⣿⢿⣻⣝⣷⣾⢿⣹⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣽⣾⢻⣵⣿⡿⣯⣿⣟⣯⣿⣿⡿⢏⣶⡷⡟⣭⢞⣭⣿⡻⡜⣯⣾⣿⡿⣋⢾⣱⡿⣹⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣎⡲⣉⢎⠲⣡⠚⢤⢋⠴⣉⠖⡡⢎⠱⣊⠜⣢⠑⣎⠱⣊⢌⠳⣌⠛⣿⣿⣜⠿⣾⡲⣍⠿⣷⡻⣧⣟⣿⣞⡷⣯⣿⣾⣽⣻⣧⣟⢿⣞⡿⣿⣯⣟⡿⣾⡽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⢯⣯⣷⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣟⣿⣾⢿⣹⣼⣿⣹⣾⣿⣿⣽⣿⣟⣷⣿⡿⣹⡞⣭⣿⣏⡳⣝⣶⣿⣛⠶⣍⣿⣿⣿⠻⣼⣹⣾⡛⢶⣩⣿⣿⣟⢿⢃⠖⡰⢒⠴⣈⠦⡩⢍⢛⡛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣹⡽⣶⣎⣱⠢⡙⢦⠩⠖⡬⢎⠵⢪⠵⢌⡚⢤⡙⢤⠓⡌⢎⡱⢢⡙⢤⠚⣻⢿⣼⣿⣼⢻⡼⣻⣧⠿⣮⡟⣷⣯⢷⣿⣻⣷⣯⣿⣿⣞⣿⢯⣿⣿⣿⣯⣿⣷⣯⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣻⣟⣿⣻⣟⢿⣻⣟⡿⣻⣟⣿⢻⣟⣿⡻⣟⣿⣻⢟⣿⣻⡟⣿⣻⣟⢿⣻⣟⡿⣻⣟⣿⢻⣟⣿⡻⣟⣿⣻⢟⣿⣻⣟⣯⣟⡿⣽⣻⢯⣟⡿⣽⣻⡟⣿⣻⢟⣿⡻⣟⣿⢻⣟⡿⣻⣟⢿⣻⢟⡿⣻⡟⣿⣻⢟⣿⡻⣟⣿⢻⣟⣯⣟⡿⣯⣟⡿⣽⣻⢯⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⢿⣻⣟⡿⣻⣟⣿⢻⣟⣿⡻⣟⣿⣻⢟⣿⣻⡟⣿⣻⣟⢿⣻⣟⡿⣻⣟⣿⢻⣟⣿⡻⣟⣿⣻⢟⣿⣻ ⣿⣳⣟⣾⣳⢯⣟⡷⣯⣟⣷⣻⣞⡿⣞⡷⣿⡽⣾⣽⣻⣞⣷⣻⢷⣻⣞⣯⢷⣯⣟⣷⣻⣞⡿⣞⣷⣻⡽⣾⣽⣻⣞⣷⣻⢾⣽⣻⢷⣯⣟⡾⣽⣳⢯⣟⡷⣯⣟⣾⣽⣻⣞⡿⣾⡽⣷⢯⡿⣽⢾⣽⣳⣟⡷⣯⣟⣾⣽⣻⣞⡿⣞⡷⣯⣟⣷⢯⣟⡷⣯⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⡾⣯⢷⣯⣟⣷⣻⣞⡿⣞⣷⣻⡽⣾⣽⣻⣞⣷⣻⢷⣻⣞⣯⢷⣯⣟⣷⣻⣞⡿⣞⣷⣻⣽⡾⣽⣻⣞⡷ ⣿⣳⣟⡾⣽⣻⢾⣽⣳⣟⣾⣳⢯⡿⣽⣻⢷⣻⢷⡯⣷⣻⢾⡽⣯⢷⣻⣞⡿⣾⡽⣞⡷⣯⢿⡽⣞⣷⣻⢷⣫⢷⣻⢾⣽⣻⢾⣽⣳⢯⡾⣽⢯⣟⡿⣾⣽⣳⣟⣾⣳⣟⡾⣽⣳⢿⡽⣯⢿⣽⣻⣞⡷⣯⣟⣷⣻⣞⣷⣻⢾⡽⣯⣟⣷⢻⣞⡿⣾⣽⣳⢯⣷⣻⣞⣳⣟⣾⣳⣟⡾⣽⢯⣟⡾⣽⣞⡷⣯⢿⡽⣞⣷⣻⢷⣯⢷⣻⢾⡽⣯⢷⣻⣞⡿⣾⡽⣞⡷⣯⢿⡽⣞⡷⣯⣟⣷⣻⢾⣽ ⣷⣻⢾⣽⣳⢯⣟⣾⣳⣟⡾⣽⢯⣟⡷⣯⢿⡽⣯⣽⣳⢯⡿⣽⢯⣟⡷⣯⣟⣷⣻⣽⣻⡽⣯⢿⡽⡾⣽⢯⣟⣯⢿⡽⣾⣽⣻⢾⡽⣯⣟⣷⣻⢾⣽⣞⣷⣻⣞⣷⣻⣾⣽⣷⣯⣿⣽⣾⣻⣞⣷⣯⣟⣷⣻⣞⣷⣻⣾⡽⣯⣟⣷⣻⣞⣿⡾⣽⣳⢯⣟⡿⣞⡷⣯⣟⣾⣳⣟⣾⡽⣯⣟⣾⣽⣳⢯⡿⣽⢯⡿⣽⢾⣽⣻⣞⣯⣟⣯⢿⡽⣯⢷⣯⣟⣷⣻⣽⣻⡽⣯⢿⣽⣻⢷⣻⢾⣽⣻⣞ ⣯⣟⡿⣾⡽⣯⣿⣾⣽⡾⣿⣽⣻⢾⡽⣯⢿⣽⣳⢯⣟⣯⣿⣽⣻⣾⣽⣷⣻⣾⣷⣯⣷⣿⣽⣯⣿⣽⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣾⣷⣿⣿⣿⣿⣯⣿⣿⣽⣿⣾⣷⣿⣾⣽⣾⣿⣽⣯⣿⣾⣽⣞⣷⣯⢷⣻⣽⣻⢾⡽⣯⣟⡿⣞⣷⣻ ⣟⡾⣽⣳⢿⣵⣻⣞⣯⢿⣶⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⡿⣽⣳⢯⡿⣽⣞⡷ ⣿⡽⣷⢯⣿⣯⢷⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠟⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⣿⣿⣿⣿⣿⠻⠟⠿⠿⢿⠿⢿⠿⢿⣿⡿⠿⠻⠿⠿⠿⠿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⣽⣳⢯⡿ ⡿⣽⢯⡿⣽⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢛⠻⢛⠛⠛⠛⠙⠛⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣄⣀⣀⣤⣿⡿⡟⡭⢯⣙⠻⣍⡳⣜⠭⡳⡜⡼⣿⠿⣿⣿⣶⣄⢂⣌⣰⣈⠱⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢯⡿⣽ ⣿⢯⡿⣽⣳⣿⣿⣿⣿⣿⡿⠟⡛⠋⠉⠉⠁⢁⠂⡄⠠⠘⠤⠁⠀⠂⠐⠄⠂⠈⠐⠃⠈⠙⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣛⣿⡿⢿⢫⡱⡙⠶⣱⢊⠷⣌⠵⣊⠟⣵⣙⠲⡍⡞⣥⠛⣿⣿⣮⣿⣿⣿⣿⣤⣝⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⠿⣿⣿⣯⢿⡽ ⣿⣯⢿⣽⣿⣿⣿⣿⣿⣿⠃⠈⡅⠀⠀⠀⠀⠈⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣟⢫⠖⡱⢆⡣⢖⡹⢎⡣⢵⣩⠗⣬⣙⠲⡜⢮⡱⣋⢖⣩⢳⡹⡜⡶⣋⠶⣩⢏⡻⣛⡝⣻⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣏⢸⣿⣿⣿⢯⣟ ⣿⣯⢿⣿⣿⣿⣿⣿⣿⡟⠀⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⢣⡚⣥⢣⡳⣍⢶⣩⣎⣵⣾⣿⣿⣿⣿⣿⣿⣿⣽⣾⣖⢧⡳⣍⢳⢭⣳⢣⢮⡕⣣⢞⡱⣻⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠸⣿⣿⣿⣟⡾ ⣿⣞⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣾⢿⣿⠁⠀⠀⠀⠀⢀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⢇⢧⣹⢒⢯⣵⣾⣾⣿⠿⠛⠉⠉⠀⠀⠀⢀⣭⣿⣟⠛⠿⣿⣷⣎⡳⢎⡲⣍⠶⣙⢦⠯⡼⢱⢻⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠘⢹⣿⣯⢿ ⣿⣻⣾⣿⣿⣿⣿⣿⡟⠀⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣿⠟⠋⢁⣺⡿⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣽⢋⠞⣤⢋⣾⣿⠟⣁⣬⠦⣤⣀⠀⠀⣠⣾⠟⠉⠀⠀⢀⣤⠀⠙⣿⣿⣥⠳⣎⠟⡭⢊⡕⢪⢅⡛⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡿ ⣿⣳⢿⣿⣿⣿⣿⣿⠃⠀⣀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠀⡈⠄⠂⢈⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⠀⣠⣾⣿⣿⣿⠛⢦⢃⠎⣜⣲⣿⠟⠁⠈⠉⠀⣀⣀⣭⣶⡾⣿⡛⠀⣀⣀⠀⢀⣀⠀⣨⡟⠻⣿⡗⡌⡜⡰⢉⡌⢣⠎⣜⣷⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⣿⣽⢻⣿⣿⣿⣿⣿⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠁⠀⠀⠀⠙⠂⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⣶⣾⣿⣿⣿⣿⠁⠋⡆⣭⢸⣼⣿⣯⣦⣴⣾⣿⣿⣿⣿⣷⣷⠀⠈⢻⣿⡟⠙⠛⠉⣿⣿⠋⠀⠀⢻⣿⣴⠉⡇⢣⡜⢡⣾⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣯⣟⣿⣿⣿⣿⣿⡿⠤⢶⣴⡶⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣯⣤⣤⣤⣤⣄⣀⡀⠀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣏⢻⡿⢃⡙⣜⡰⣡⣾⣿⣟⠈⠿⢿⡿⠟⠛⠛⢙⣿⠃⠀⠀⠀⠙⠳⠶⣤⠾⠟⠉⠀⠀⠀⠸⣿⣿⣶⡙⣾⢿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣷⣻⣿⣿⣿⣿⣿⠇⠀⣾⡿⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⢀⠀⠈⡀⢈⠀⠀⠌⠐⢀⡘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣦⡙⢆⢣⠱⡱⣾⣿⡇⠀⠀⠀⠈⠐⠛⠛⠛⠁⣦⣀⣀⣠⡶⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣾⣿⡿⢃⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣻⣿⣿⣿⣿⣿⠀⠀⣽⡇⠀⠀⠀⠀⠀⢀⣾⡟⢀⠠⢀⠈⡐⠄⠂⠌⠐⢨⠀⠂⠐⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⢿⣿⡳⣯⣘⣦⡷⠝⡹⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⡀⣉⣩⣿⣭⣴⣦⣀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠿⠋⠁⠉⠀⠀⠀⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠃⠀⠀⠀⠀⢀⣿⣿⠀⠀⠀⢂⠡⠐⡈⠌⠠⠉⠄⠂⡀⢁⠹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣭⣦⣵⣶⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⢿⣿⣿⣿⣇⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⢰⣿⠀⠀⠀⠀⠀⣾⣿⢓⠀⠀⢀⣡⢠⣀⡄⡀⡀⠐⠈⠀⠀⠀⡀⢿⣿⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⢿⣿⣭⣭⣯⣿⡿⢧⣄⡀⠀⠀⠀⠠⠿⢿⣿⣷⣎⣸⣯⣿⡏⠀⠀⣠⣴⣿⢋⣠⣄⢀⢀⣀⣀⣀⡀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⢈⣏⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠈⠙⠋⠙⠙⠛⠛⠛⠛⠛⠓⠒⠂⠘⢿⣷⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠐⠶⠝⠻⠷⣶⣤⣀⠀⠀⠹⣿⣿⣿⠟⢉⣠⣶⣿⠛⠁⠀⠀⠀⠀⠀⠀⣼⡟⠁⠀⢈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿ 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⣷⣿⣿⣿⣿⣿⡇⠌⡀⠎⡐⢈⡐⠂⠄⡡⢈⡐⠈⠄⡁⢂⢁⠂⡐⢁⠐⢀⠢⠐⡈⠄⡀⠠⠀⠹⠿⣷⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⢿⣿⣿⠋⢙⣷⣾⠛⣏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⢀⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿ ⣿⢾⣿⣿⣿⣿⣯⠐⡀⢆⠠⣀⠠⢁⠂⢁⠂⠈⠐⢀⠐⠀⠂⠐⠀⠠⠈⠀⠄⠁⡐⠠⠐⠀⠄⡀⢀⠀⡉⣹⣿⡿⠿⠿⢷⣦⠤⠠⠄⠀⠀⠀⠀⠀⠀⢀⠀⠀⣄⠠⠴⠾⠛⠛⠉⠀⠈⣿⣇⣠⡿⠙⠿⠿⠏⠀⠀⠀⠀⠀⠀⣠⣾⠿⠁⠀⠀⠀⣀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣯⣿⣿⣿⣿⣿⣿⠀⠈⠉⠉⠁⠉⠑⠊⠀⠉⠒⠁⠂⠚⠠⠣⠘⠤⠡⠆⠥⠎⠴⢤⣴⣤⣧⣆⣐⣤⣦⠷⠟⠉⠀⠀⠀⠀⠔⠎⠀⠀⠀⠀⠀⠀⠀⠀⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠟⣥⠤⠤⠀⠀⢀⣉⢉⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿ ⣟⣾⣿⣿⣿⣿⣿⣆⠀⣀⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠓⠈⠉⠛⠙⠛⠛⠛⠓⠿⣿⡀⠀⠀⠀⠀⠀⣀⣴⠾⢻⡿⠆⠦⠀⠀⠀⠀⠀⠙⠈⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⣯⣷⣿⣿⣿⣿⣿⣇⢂⡐⠠⢈⠆⡉⠰⠁⡍⠉⠁⠌⠐⠂⠔⡀⠒⠂⠰⣠⣶⣶⣶⠀⠀⠀⠀⠀⠀⠰⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣿⡋⠉⠁⠈⠙⢿⡅⠀⣦⣄⣀⡀⠀⠀⠀⠀⢀⣀⣀⣠⣴⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿ ⣿⣞⣿⣿⣿⣿⣿⣿⠄⠢⢁⠘⠢⠈⠅⡂⡔⠠⠁⠠⠈⡐⠠⢐⣤⣵⠧⠉⠀⠈⠹⣷⡀⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠙⢧⣀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣦⡀⠀⠀⠈⠷⣤⣿⣿⡁⠀⠀⠁⠀⠀⠀⠈⠉⠁⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿ ⣷⣻⣞⣿⣿⣿⣿⣿⠎⣅⣂⡄⡁⣈⠐⠀⡐⢀⠢⠁⠐⣠⣵⡾⠛⠁⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣤⣀⠀⠈⠛⠻⠿⠻⢶⣦⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣯⢷⣯⢿⣿⣿⣿⣿⡇⠘⠛⠿⠿⠿⠿⠿⠾⠷⠶⣿⣿⠿⡿⠶⢤⡀⢄⡀⣀⠀⠀⣀⣸⣿⡄⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡙⠿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡉⠙⠳⣦⣤⣤⣀⡀⢸⣿⠀⠀⠀⠀⠀⠀⢠⣿⣆⣀⡀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿ ⣿⢯⣞⡿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠛⠻⠶⠾⠟⠛⠛⠉⠑⠈⠁⠉⠉⠁⠙⣷⣀⠀⠈⠛⠛⠛⠀⠘⠿⠛⠓⠚⠟⠿⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿ ⣟⡿⣼⣻⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⣽⣳⢯⡿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣳⢯ ⣿⢾⡽⣯⢿⡽⣿⣿⣿⣿⡄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣽⣻ ⣿⣯⣟⣯⢿⣽⣻⢿⣿⣿⣷⣴⣶⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣴⣤⣶⣿⣿⣟⣾⣳ ⣿⡾⣽⣯⣟⡾⣽⢯⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣶⣶⣤⣤⣀⣄⣠⣤⣠⣤⣷⡀⢀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣏⠉⠀⢀⣀⣀⣤⣤⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡇⠀⠀⠀⣀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣟⣾⣳⣟ ⣿⣽⣳⣟⣾⡽⣯⣟⣾⣳⣟⡿⣞⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣴⣤⣴⣤⣤⣦⣤⣤⣤⣤⣤⣽⣿⣷⣾⣿⣿⣿⣷⣿⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣦⣤⣼⣤⣴⣦⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣿⣽⣷⡿⣿⣻⣞⣷⣻ ⣿⢷⣻⣽⢾⣽⣳⣟⣾⣳⢯⡿⣽⣻⣽⣻⣞⣷⣛⣾⣳⣟⣾⢿⣻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣳⢯⡿⣽⣻⢿⡽⣷⢯⣟⣿⣻⢿⣯⢿⣽⣳⣟⢾⣳⢯ ⣿⣯⢿⣽⣻⣽⣳⣟⣾⣭⣿⣽⣷⣿⣶⣟⣾⣼⣿⣶⣿⣮⣽⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣽⣾⣽⣿⣷⣿⣾⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣽⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣵⣯⣯⣿⣿⣿⣞⣷⣿⣿⣯⣟⣾⣳⢯⡿⣽⣻ ⣿⣞⣯⢷⣻⣞⡷⣯⣿⡿⠛⠛⠛⠛⢿⡟⠛⠛⠛⠙⠻⣿⡟⠛⠻⣿⡿⠛⢻⡿⠋⠛⠛⠋⠛⠛⢿⣿⡿⠛⠉⠛⠻⢿⣿⡟⠋⠛⣿⣿⠛⠛⣿⡏⠛⣿⡿⠟⠛⠙⠛⠻⣿⣿⣿⣿⡟⠛⠻⣿⡿⠛⠛⣿⣿⣿⠟⠋⠻⣿⣿⣿⠛⠛⢻⣿⠟⠛⢻⡿⠟⠛⠋⠛⠛⢿⡿⠛⠛⠙⠛⠻⣿⣿⣷⣻⣿⡟⠛⠛⢿⣿⡟⠛⠛⢿⣿⡿⠟⠛⠙⠛⠿⣿⡿⠛⠛⠻⣿⣿⠟⠛⢻⣿⣷⢯⡿⣽⣳⣟ ⣿⢾⡽⣿⡽⣾⣽⣻⣿⠇⠀⢸⡶⢶⣿⡇⠀⠠⠶⢦⣼⣿⡀⠀⠀⠘⣧⠀⢨⣿⣦⡄⠀⠀⣴⣴⡿⠋⠀⣤⣤⣄⠀⠈⣿⡅⠀⠀⠈⢿⠀⠀⣻⣧⣤⣏⠀⠀⠹⠶⢤⣤⣿⣿⣿⣿⠀⠀⠀⠘⣯⠀⠀⣸⣿⠇⠀⠀⠀⠹⣿⣿⠀⠀⠈⠉⢁⣤⣼⡇⠀⠀⠶⠶⠴⣾⡇⠀⠠⣦⣄⠀⠈⢻⣿⣿⣿⡅⠀⠀⠠⣿⠀⠀⠀⢸⡏⠀⢀⣶⣮⡀⠀⠙⣷⠀⠀⠀⣿⡇⠀⠀⠀⣿⣿⣯⣟⣷⣻⢾ ⣿⢯⣟⣷⣻⢷⣯⢟⣿⠂⠀⢸⣷⣾⣿⡇⠀⠀⣀⣠⣿⣿⠁⠀⣠⡀⠉⠀⢰⣿⣿⡇⠀⠀⣹⣿⣇⠀⠀⢿⣿⣿⠇⠀⣺⡇⠀⢠⡄⠈⠁⠀⣽⣿⣿⣿⣷⣤⣀⠀⠀⠉⢿⣿⣿⣿⠃⠀⢰⡄⠙⠀⠀⣿⡟⠀⠀⠐⠀⠀⢿⣿⠀⠀⠀⠀⠈⠛⣿⣷⠀⠀⣠⣀⣠⣿⡇⠀⠀⣿⡟⠁⠀⢺⣿⣿⣿⡃⠀⢠⡞⠙⢀⡀⠀⢸⡇⠀⠈⣿⣿⠟⠀⠀⣿⠀⠀⡆⠟⠁⣀⠀⠀⣿⣿⣷⣻⢾⡽⣯ ⣿⣻⣞⣷⣻⣟⣾⣻⣿⡀⠀⢸⣿⣿⣿⡇⠀⠈⠛⠛⠛⣿⡆⠀⢹⣷⡀⠀⢸⣿⣿⡇⠀⠀⣼⣿⣿⣄⠀⠀⠛⠁⠀⣠⣿⡇⠀⢸⣷⡄⠀⢀⣾⣿⣿⣯⡀⠀⠙⠋⠀⢀⣾⣿⣿⣿⡄⠀⠀⣿⡀⠀⠀⣿⠁⠀⢠⣤⣄⠀⠀⣿⠀⠀⢸⣿⡀⠀⠘⣿⠀⠀⠘⠋⠉⢻⣧⠀⠀⠛⠃⠀⢠⣿⣿⣿⣿⡇⠀⢸⡇⠀⢸⡇⠀⢸⣧⡀⠀⠈⠙⠀⠀⣰⣿⠀⠀⣿⠀⢸⣟⠀⢈⣿⣿⡷⣯⢿⣽⣳ ⣿⣳⢯⣟⣷⣻⢶⣯⣿⣷⣶⣾⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⣷⣴⣿⣿⣷⣤⣾⣿⣿⣷⣶⣶⣿⣿⣿⣿⣷⣾⣶⣴⣾⣿⣿⣷⣴⣾⣿⣿⣴⣾⣿⣿⡿⣿⣿⣶⣶⣦⣶⣿⣿⣿⡿⣿⣷⣦⣾⣿⣿⣶⣾⣿⣶⣴⣿⣿⣿⣷⣶⣿⣧⣴⣿⣿⣿⣶⣾⣿⣷⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣻⣿⣷⣶⣿⣿⣶⣾⣷⣦⣾⣿⣿⣷⣶⣶⣾⣿⣿⣿⣦⣼⣿⣦⣾⣿⣶⣾⣿⡿⣽⢯⣟⡾⣽ ⣿⡽⣯⣟⡾⣽⣻⣞⣷⣻⣿⢿⣿⣯⣟⣿⣻⣿⣿⣿⢿⣿⣿⢿⣿⣻⡽⣟⣿⡿⣽⣻⢿⣯⢿⣽⣻⣞⣿⣻⣟⣿⣻⡽⣯⣟⡿⣟⡿⣟⣿⢻⣟⣳⣟⡷⣯⣟⡿⣽⣻⡽⣯⢷⣻⢷⣻⣟⣯⣟⡿⣿⣿⢯⣿⢿⡿⣟⣿⣿⡿⣿⢿⣿⣿⣟⣿⣻⢯⣟⣿⣻⢿⡽⣯⣟⣿⣻⢯⣟⡿⣽⣻⣞⣧⢷⣯⣟⣿⣿⣿⡿⣯⢿⣽⣻⡟⣾⣻⣽⣻⢟⣿⢫⡿⣿⣻⣿⣿⣿⣿⣿⣿⣽⣻⣭⣟⡾⣽⢯ ⣷⣻⢷⣯⣟⣷⣻⣞⣷⣻⣾⣿⣾⣳⣟⡾⣽⣿⣿⣿⣿⣾⣿⣻⣾⢷⣿⣿⣿⢿⣳⢯⣟⣾⡿⣞⣷⣻⣞⣷⣻⣾⣷⣻⢷⣯⣿⣽⣻⡽⣞⣿⡾⣽⢾⣽⣳⣯⣟⡷⣯⢿⡽⣯⣟⣯⢷⣻⡾⣽⣻⢷⣿⣿⣾⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣷⣯⡿⣞⡷⣯⣿⣽⣳⣟⡾⣽⣻⢾⣽⣳⣟⡾⣽⣻⢾⣽⣻⣿⣷⢿⡿⣿⢾⣳⣟⣷⣻⢾⣽⣻⣞⡿⣽⣷⣿⣿⣿⣿⣿⣿⣿⣾⣳⣟⡾⣽⢯⡿

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