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{{Goodpage}}
⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
{{Hatnote|''Not to be confused with [[BBBBBBBBBBBBBBBBBBBB]].''}}
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
{{Infobox Level
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
|image = File:B Screenshot.jpeg
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
|creator = Motleyorc (publisher) and ScorchVx
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
|difficulty = [[File:Medium Demon.png|20px]] Medium Demon
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
|stars = 10[[File:Star.png|15px]]
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
|id = 34085027
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
|song = Beep Beep
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
|composer = Schtiffles
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
|song_id = 715825}}
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
{{Quote
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
|Buzz Buzz, an incredible collab between me and ScorchVx, dedicated to Serponge, PanMan, and all of my wonderful viewers!
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
|Motleyorc}}
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
'''B''' is a 2.1 Medium Demon collaboration level created by Motleyorc and ScorchVx and published by Motleyorc. It is a yellow and brown bee-themed level, with beehive-like designs and a boss-fight against a large bee.
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
 
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
==History==
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
[[File:B Origin.jpeg|thumb|The origin of B.]]
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
On February 17, 2017, Motleyorc sent ScorchVx a Discord message, explaining that he wanted to make a bee-themed boss-fight level.<ref>https://twitter.com/motleyorc/status/1293578769555435522</ref> ScorchVx asked if he could help, which Motleyorc agreed to. They finalized the name as "B", and began to work on the gameplay.
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
 
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
On May 3, 2017, ScorchVx uploaded a video titled "B (sneak peek)".<ref>https://youtu.be/xrXVQk3p0nc</ref> This video showcased the completed first cube of the level. Four days later, ScorchVx uploaded an extended sneak-peek of the level, which showcased his completed first part.<ref>https://youtu.be/PqaAH5tnuTo</ref> On the same day, Motleyorc uploaded a video called "B Preview I", in which he played through ScorchVx's first part.<ref>https://youtu.be/bc-7doJkm6I</ref> In the description of this video, Motleyorc stated, "This level started out as a meme, but it's turning out amazing!".
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
 
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
Three days after his first preview of B, Motleyorc uploaded a second preview.<ref>https://youtu.be/_7MzPf7U9k4</ref> This video showcased his completed first part of the level. The part in the video is almost identical to the part in the final level, with the exception of the boss rotating much less frequently. This was the final preview of the level.
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
 
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
On May 21, 2017, Motleyorc uploaded a video of the completed level, and ScorchVx did the same a day later.<ref name="Motley Video">https://youtu.be/F2Y05OVWOc4</ref><ref>https://youtu.be/ZFOmwnNwlI8</ref> The level was then uploaded to Motleyorc's account. In total, the level took just over three months to build.
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
 
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
==Gameplay==
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
*'''0-17% (ScorchVx):''' The level starts with a simple cube section. The block design is made up of hexagons that represent honeycombs. There are large pools of honey, as well as several hexagonal orbs (every orb in the level is hexagonal). The background features a silhouette of a bee that rotates with the music, as well as a pinwheel effect. During this section, the player has the option of enabling LDM or ULDM. At 8%, the level transitions into a spider section with a few tight timings, as well as orbs and jump pads. The decoration features more pools of honey, along with a new brown honeycomb block design. The background features honeycombs that shift with the music, and the foreground features dancing bees moving up and down the sides of the screen.
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
*'''17-42% (Motleyorc):''' This section introduces the level's boss, which is a large bee. The player is a ship, and must navigate around hive structures and avoid stationary bees. The boss periodically turns around and attempts to sting the player, and occasionally sends out small bees which the player needs to dodge. The player becomes a UFO at 30%, although the boss' attacks do not change. During the UFO section, a swarm of bees slowly approaches from the left side of the screen. During this entire section, the block design is modeled after beehives, and the background features honeycombs that undulate and pulse with the music.
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
*'''42-71% (ScorchVx):''' This section begins as the robot game-mode and features many orbs and jumps of varying sizes. The block design features hexagonal honeycombs with moving faces, and the background features rotating concentric octagons with a bee face in the center. After this, the player is met with a difficult 4x speed ball section. This segment requires fast clicking and some timing. The top and bottom of the screen features rows of bees with their stingers exposed, which will kill the player if they miss a click.
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
*'''71-100% (Motleyorc):''' This section continues the boss-fight from Motleyorc's first section, but with the bee being enraged this time. The player is a wave, and must avoid moving honeycomb hexagons. They then have to traverse through moderately tight diagonal corridors while the boss circles them. In the background, there are large bees flying by, that look similar to the boss. The player then becomes a spider, although the decoration remains the same. After this segment, the boss falls off the screen, accompanied by the text "I HAVE BEEN '''BEE'''FEATED". The level ends with a simple normal speed cube segment that features a giant queen bee in the background, followed by a simple end-screen.
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
 
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
==User coins==
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
B contains two user coins:
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
*The first user coin is located at 19%. To get it, the player needs to take the lower path, and fly between two bees without touching them.
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
*The second user coin is located at 45%. To get it, the player must skip the green dash orb, and fall onto the platform that the coin is on. From there, the player must do a large robot jump and hit the green orb, which will return the player to the main path. This coin route is considered easier than the main route.
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
 
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
==Trivia==
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
*The level is free to copy.
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
*The level contains 90,700 objects.
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
*The level is 1m 40s in length.
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
*The level was ranked #53 in GDToday's 100 Greatest Levels of All Time list.
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
*The level was nominated for and achieved ''Best Themed Level'' in the 2.1 [[Geometry Dash Awards]].
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
*B is Motleyorc's most popular level.
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
**As of April 15, 2023, B is the 10th most-liked and 15th most-downloaded Medium Demon.
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
*[[Jeyzor]], Alkali, and [[Rustam]] all left comments on Motleyorc's video of B, praising the level.<ref name="Motley Video"/>
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
**RobTop himself also shared the video on Twitter.<ref>https://twitter.com/RobTopGames/status/867671708454531072</ref>
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
*Many creators have made remakes of the level, such as Zom B by Voxicat,<ref>https://youtu.be/fM21aJJrbzE</ref> Bee by kDarko and F5night,<ref>https://youtu.be/ZaKmmHyRs8E</ref> HoneyComb by Alex112300,<ref>https://youtu.be/XmQ4ejuzp4o</ref> and Honey by SpooFy.<ref>https://youtu.be/G29X3DPEexY</ref> The first two are rated.
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
*As an April Fools' Day joke, Motleyorc uploaded a video of a blue version of the level that he named "C".<ref>https://youtu.be/qxgqDzDpjJQ</ref> This was done in response to the hundreds of requests he received asking him to create an ocean-themed sequel to B called C.
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
*The level was entered in ChaSe's 2.1 Bossfight Creator Contest. It came in second place, losing only to [[MasterGame]] by [[Serponge]].<ref>https://youtu.be/V8lVJxr9yzY</ref>
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
*Motleyorc has referenced B in other levels he has worked on, such as [[Flap]]<ref>https://youtu.be/ReeEzQZt1S8&t=63s</ref> and [[Panispheric]].<ref>https://youtu.be/RsjzwweiUZY</ref>
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
*The level once had all of its comments deleted by a hacker.
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
*In the level [[Beauty Underneath]], there is an LED-bee boss at 69% from Act III: Beneath a Moonless Sky.
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
 
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
==Video==
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
[[File:B - By Motleyorc (Me) & ScorchVx|centre|thumb|330x330px|The full walkthrough of B. Credits to Motleyorc.]]
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
 
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
==Gallery==
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
<gallery>
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
File:B Coin 1.jpeg|The first user coin.
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
File:B Coin 2.jpeg|The second user coin.
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
File:HD B.jpeg|The bee boss.
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
File:Bee.png|The boss mid-rotation, surrounded by bees.
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
File:B Ball.jpeg|The 4x speed ball.
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
File:Angry Bee.jpeg|The enraged boss.
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
File:B End Screen.jpeg|The level's end-screen.
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
</gallery>
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
 
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
==References==
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
<references/>
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
[[Category:Collaborations]]
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
[[Category:2.1 levels]]
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
[[Category:Long levels]]
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
[[Category:Levels with user coins]]
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
[[Category:Demon levels]]
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
[[Category:Medium Demon levels]]
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
[[Category:Award-winning levels]]
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏
⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸
⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸
⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏
⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀
⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂
⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀
⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄
⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇
⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇
⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁
⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀
⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀
⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀
⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁
⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀
⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄
⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐
⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡
⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅
⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐
⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱
⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚
⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏

Revision as of 18:23, 17 March 2024

⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏⠀⠀⠀⢀⣠⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠤⠤⢤⣀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠒⠒⠢⠤⢀⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠟⠁⠀⠀⠀⠀⠉⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠒⠒⠊⠁⠉⠈⠁⠉⠫⡏ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸ ⠀⠸⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸ ⠀⠀⠹⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠀⢀⡿⢳⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡶⣯⠀ ⠀⠀⢘⣱⠏⠀⣹⣿⣿⢿⣿⣿⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣇⠀⡏⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣛⢻⣿⣿⣿⣄⠀⠈⢳⡄⢻⠂ ⠀⠀⣼⠇⢀⣼⣿⡟⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⡿⣷⣦⣤⣀⣿⢠⣇⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⣾⢿⣿⣷⡀⠀⠹⣇⠀ ⠀⢠⡟⠀⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣷⣿⣿⡎⠉⠻⣾⠏⢩⣿⣿⠿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢻⣷⣿⣿⣧⠀⠀⢹⡄ ⠀⢼⡇⠀⣿⣿⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⣿⣿⠀⢀⣿⠀⣼⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣆⣿⣿⡇⠀⢸⡇ ⠀⢻⡇⠀⣿⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⢸⡇⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠇⠀⢸⡇ ⠀⢹⡇⠀⢸⣿⣏⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⠁⠀⣾⣿⠀⠘⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡟⠀⠀⣼⠁ ⠀⡘⢿⡀⠀⡹⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⠟⢿⣤⣿⡿⠃⢀⣼⡟⢻⣆⠀⠙⣿⣷⣩⡿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢸⣿⡿⠁⠀⣰⠇⠀ ⠀⠰⠌⢷⣄⠀⠜⣻⢿⣾⣥⣾⣁⣉⢿⣠⣤⣶⡿⠋⠀⣠⡞⣻⡇⢸⡿⣦⠀⠘⠻⣿⣾⣅⠙⡿⢛⠛⠋⣷⣜⣷⣿⠟⠀⢀⣼⡏⠠⠀ ⠌⣘⠢⠡⣽⡷⣦⣉⠃⠩⠙⠛⠛⠛⠛⠛⠋⠁⢀⣤⠾⢋⡎⣽⡇⢸⡇⠈⠻⣦⣀⠈⠙⠻⠻⠿⣿⡿⠿⠿⠛⠋⠀⣀⣴⠟⣹⠇⠡⠀ ⢂⠤⢡⠁⣼⣷⠈⠉⠛⠶⠶⠶⣴⢶⡴⠶⢶⣞⡿⠗⠋⢀⡄⣿⠃⢸⡇⠀⠁⠨⠙⠻⢶⣦⣤⣄⣀⣠⣤⣤⣤⡶⠟⠋⠁⢠⡟⠈⠄⡁ ⢂⡘⢄⠣⢸⣯⠈⠂⠡⠀⠀⠀⠀⠒⠒⠛⠛⠁⠐⠀⠀⢀⡦⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣾⠠⡉⠔⡀ ⢂⠜⣈⠆⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠳⡈⠄ ⣌⢸⡰⢈⢾⡇⠀⠀⠐⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣿⠀⠠⣟⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⠠⠓⡌⡐ ⢆⢣⢞⡡⢺⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡰⠋⢡⣿⠀⠀⡏⠱⡜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⣼⢏⠲⣩⢐⠡ ⢎⡓⢮⡱⢍⣾⢧⠀⠀⢠⣶⣶⣤⠀⠀⠀⠀⣠⡏⠀⠀⠀⣾⣏⠀⠀⣧⠀⠀⠘⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣌⠳⣱⢊⠅ ⡣⡝⢮⡑⡞⠁⢼⠀⠀⠘⠻⠷⠟⠁⠀⠀⢾⣍⣁⡞⠀⠀⣹⡇⠀⠀⣷⠀⠸⣆⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢻⡱⢃⠎⡐ ⡵⡹⢆⡹⠀⠀⠈⢷⡤⠴⠶⠶⠦⣤⣤⣤⡤⠿⠿⠶⣤⣤⣽⡇⠀⠀⣿⣄⣠⣌⣡⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⢀⡏⠀⢸⡇⡍⢦⡱ ⡳⣙⢆⡱⣤⢶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⢀⡴⢿⡇⠀⠀⡾⠹⢄⠈⢁⡴⠚⠁⠀⠈⠉⠉⠉⠁⠉⢻⣿⣤⣤⣼⠧⡜⣧⢚ ⢧⠹⣌⢷⡽⣞⡇⢸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣼⣩⣤⣿⠇⠀⠀⣗⣤⣼⣯⣁⣀⣠⣠⣴⣀⣀⣀⣀⣀⣀⣸⣏⣿⣇⢦⡻⣜⢧⣏

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