Nothing can save humanity. Open your doors and windows, let it in. Accept your fate. The fog is coming. The fog is coming. The fog is coming.The fog is coming. The fog is coming. The fog is coming. Open your windows.The fog is coming The fog is coming The fog is coming

The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming The fog is coming

The fog is coming the fog is coming seek shelter while you still can invest in food invest in water as once the fog is here there will be no more the fog is coming the fog is coming no use for your worthless lives anymore as the fog will consume us all come 2025 the fog is coming and will burn your skin right from your bones no use in shelter no use in water no use in life the fog is coming the fog is coming.

The fog is coming, an estimated 4.7 billion people will die, leaving behind 3.2 billion people, the continents of Asia, Africa, and Europe will be eradicated or have little to no survivors. It will continue to the Americas eradicating North America and then continuing to South America. Do anything for survival.I see the children with no eyes in the fog, they are screaming in agony. all i can do it slowly peel back my skin to release the ants. the fog is here. They’re back, the faces in the air.

THE VOICE UNDER MY SCALP THE VOICE UNDER MY SCALP THE VOICE UNDER MY SCALP THE VOICE UNDER MY SCALP THE VOICE UNDER MY SCALP THE VOICE UNDER MY SCALP.

Do not run from the fog. Do not ever run from the fog. Stay in the fog. the fog is near, i need to go now. I feel the sin evaporating off of my skin. Oh lord have mercy on me for my sins have been extinguished. Take kindness on my dammed soul.

LEAVE GET OUT OF MY HEAD MY SKIN THE VOICES WON'T LEAVE GET OUT OF MY HEAD MY SKIN THE VOICES WON'T LEAVE GET OUT OF MY HEAD.

The fog, stay in the fog. It’s so warm and loving. Don’t ever leave the fog, come join us in the fog. MY SKIN IS MELTING MY SKIN IS MELTING MY SKIN IS MELTING MY SKIN IS MELTING MY SKIN IS MELTING MY SKIN IS MELTING they're behind your eyes they're behind your eyes they're behind your eyes they're behind your eyes they're behind your eyes they're behind your eyes the ants have arrived, crawling in my fingernails. DO YOU RECOGNIZE THE BODIES IN THE WATER? They’re overwhelming me.

The fog follows, soon to consume me. The voices told me so. The fog is here. It always has been and it always will be. Do not let the fog in. WHAT IS THAT HEARTBEAT IN THE FLOOR WHAT IS THAT HEARTBEAT IN THE FLOOR WHAT IS THAT HEARTBEAT IN THE FLOOR WHAT IS THAT HEARTBEAT IN THE FLOOR WHAT IS THAT HEARTBEAT IN THE FLOOR WHAT IS THAT HEARTBEAT IN THE FLOOR the corner of my ceiling begins to laugh in the middle of the night for a split second, each night it get louder.

Help me please. no, I need more sugar to feed the ants. can't see can't see can't see can't see....gouged out my eyes gouged out my eyes gouged out my eyes gouged out my eyes... no more ants no more ants. the demon is behind me he is behind me i can feel his breath the demon is behind me. The ants are gone, the fog is clearing. No more fog. No more fog.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⠶⠶⠶⢶⢶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠉⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡿⠟⣻⡟⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣙⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠀⠠⠟⠁⣸⡏⠀⠀⠀⠀⠀⠀⣀⣄⣀⣠⣤⡤⢤⡤⣤⣄⣀⣀⣸⣿⣿⣿⣄⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠇⠀⠀⢀⡄⣿⣇⣤⡿⠛⠛⠛⠛⠉⠈⠋⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠛⠿⣿⣦⣤⣽⣤⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⢀⣘⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⠀⠀⠉⢦⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⣀⣼⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠈⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣾⣿⣿⣾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢠⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠤⢰⢲⣶⡖⠒⠒⠒⠊⠓⠒⣦⣄⣀⣤⡀⠀⠀⠀⠀⠀⣧⠴⠋⠀⠀⠀⠀⠀
⠀⠀⢀⣀⣸⣿⣿⡿⠟⠃⠀⠀⠀⠀⠀⠀⢀⣤⠖⠋⡇⡏⢣⠤⡟⢹⡏⣧⠀⠀⠀⠀⣀⣸⠁⡇⢹⠟⣏⠙⢶⣤⡀⢠⠇⠀⠀⠀⠀⠀⠀⠀
⠀⡔⠋⠀⠸⠟⠑⡄⠸⡆⠀⠀⣀⡤⠖⡎⠉⢸⡀⠀⣿⣇⣸⣤⣇⡈⠀⣸⡞⡇⠀⢠⣧⣇⣀⣧⣟⣀⣸⡀⣸⠀⢿⠋⠀⠀⠀⠀⠀⠀⠀⠀
⢸⠀⠀⠀⠀⠀⠀⣹⠀⠹⡤⠞⠁⠀⠀⡇⠀⠀⢳⣆⣿⡏⣽⣿⣿⣿⣿⠛⠻⢷⢀⡾⠟⣿⣿⣿⣿⣿⢻⣧⡇⠐⡾⣆⠀⠀⠀⠀⠀⠀⠀⠀
⢸⡀⠀⠀⠀⠀⢀⡟⠀⠀⢷⠀⠀⠀⠀⡃⠀⠀⠀⠹⣿⠀⢛⣻⣿⣿⣿⠀⠀⢸⠟⠀⠀⣿⣿⡿⣿⠀⡟⡿⠁⢸⡟⢿⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠙⢦⣄⣤⠖⠋⠀⠀⠀⣸⢰⠀⠀⠀⢱⠀⠀⠀⠠⣿⠀⠈⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠉⠙⠉⠁⢸⡇⡇⠀⢸⡇⠀⠙⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢿⡀⠀⠀⠘⡆⠀⠀⡆⢸⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢺⣿⠁⢠⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⡇⠀⠀⠀⢿⠀⠀⢸⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠟⡿⢀⢢⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⡇⢦⠀⠀⠈⣇⠀⠘⣧⣷⣄⣀⠀⠀⢿⠛⠲⡦⠀⣀⣠⡤⢾⠟⠀⢰⠇⣀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣼⡀⠀⠠⠈⠷⡄⠸⣿⣞⠙⠛⢿⣗⡒⢲⣾⢿⣍⡀⠀⣿⡀⠀⡏⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠉⣿⡀⣠⣶⣷⣿⣶⣿⣿⣦⡀⠀⠈⣿⣼⣷⡀⢹⣿⣶⣿⣧⣾⣸⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣦⣰⡏⢳⠀⢳⣿⣽⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⡋⠳⡀⠀⠀⠀⠀⠀⣠⣿⠿⠿⠃⠈⢿⣿⣿⣿⡟⢪⠻⣧⣼⣆⣾⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⠖⠛⠛⠛⠛⡇⠀⠹⢦⣴⣤⡀⢰⣿⣧⣀⣀⣀⣀⣀⢿⣿⢿⣿⣿⣟⣛⣻⣿⣷⢸⣿⣿⣿⡟⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣉⣉⠀⠀⠀⠃⠀⠀⣰⣿⣿⣿⣾⣏⠈⠛⠛⠛⠉⠉⢸⣿⣿⣛⣛⣿⣿⢟⣩⣽⠿⣿⣭⢿⣧⠈⣿⡆⠀⠀⣀⣤⣤⣠⠤⠤⢤⢤⡀⠀⠀
⠻⣭⢤⡄⠠⠖⠀⠀⣰⣿⣿⣿⣿⡿⠛⢷⣄⠀⠀⠀⠀⢸⣿⡋⣩⣽⣿⣻⡽⠟⠁⠀⠸⣿⡀⣿⡀⡟⣿⡶⠿⣿⣿⣿⣿⣦⠀⢘⢯⡁⠀⠀
⠀⠹⠭⠴⠶⣦⣴⠾⣿⠛⣾⣿⡿⠁⠀⠈⢻⣷⣄⠀⠀⣿⣿⣶⣿⣿⡏⠉⠀⠀⠀⠀⠀⣿⡇⣸⡇⠁⢹⣿⡀⠹⣿⣿⣿⣿⣷⡀⡰⠿⣦⠀
⠀⠀⠀⠀⠰⣿⣿⠆⢁⣴⣿⡟⠁⠀⠀⠀⠀⢿⣿⣷⣿⣿⠿⠋⣡⣿⣿⣠⣤⣤⣤⣤⣶⡿⣧⢿⡇⠀⢸⣿⡇⠠⠌⣿⣿⣽⣿⠧⣽⣦⣼⠇
⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⢻⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⡏⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠈⡇⠀⢸⣇⠀⣾⢻⣿⠀⠀⣿⣿⣿⡿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣦⣴⣄⠀⠀⢀⣼⠋⢹⣿⡄⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⣿⡁⠘⣿⣅⠋⠉⣽⣷⣶⠿⠛⠋⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣤⣴⠟⠁⠀⣸⣿⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀⠛⣿⣀⣶⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣯⡁⠀⢀⣀⣿⢿⠀⠀⠀⠀⠀⠀⢸⡇⢀⣀⢿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠂⠈⠻⢦⣬⠉⣿⡿⠷⢶⣤⣄⣀⣠⣼⣿⡋⠁⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢿⠶⠶⠶⠶⠶⠷⠿⠿⠷⠶⠦⠴⠾⠿⠿⠿⠿⠶⢶⢿⢿⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀


⠀⠀⠀⠀⠀⠀⠀⢀⣰⡋⡝⠋⠇⠘⠒⢑⣶⠦⣄⠀
⠀⠀⠀⠀⠀⠀⣴⣿⢯⠫⠑⠺⣴⡂⠀⣀⡼⢷⣮⣿⣦⡀
⠀⠀⠀⠀⠀⢸⣿⠏⠁⠀⠀⣤⣴⠋⠙⢿⣁⣠⠉⠻⣯⣗
⠀⠀⠀⠀⠀⠀⠸⣴⡤⠀⢘⣽⣶⠄⠀⠀⠀⣾⣡⠐⢿⡾⡄
⠀⠀⠀⠀⠀⠀⠀⢱⡾⡦⠈⠁⠀⠀⠀⢀⣾⠃⠱⢤⣿⡟⡟
⠀⠀⠀⠀⠀⠀⠀⢸⢀⣧⡴⠒⠚⣒⢢⣾⣥⠄⠀⠸⣪⠟⡷⢲⣤⡀
⠀⠀⠀⠀⠀⠀⠀⡰⢋⡄⠾⠗⠈⠉⠀⠀⠀⠀⠰⣀⡏⠁⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⡠⠗⠉⠊⠀⠀⠀⠀⠀⠀⠀⠀⠂⡙⣧⣖⠀⣀⢠⡼⠃
⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠰⣵⣟⣿⣻⣟⡿⡙⣶
⠀⠀⠀⢰⠃⡰⠠⠃⠀⡆⠀⠀⠀⢠⠀⢀⠡⣷⣿⢿⡽⣞⡷⣯⢿⣥⣸⡇
⠀⠀⠀⠈⠣⣇⠠⡀⠀⠇⠀⠀⢀⠎⢀⣾⣿⡿⣽⢯⡿⣽⣻⣭⣟⣾⣽⡇
⠀⠀⠀⠀⠀⠙⢲⣽⣦⣼⣄⣴⣯⣴⣿⡿⣯⢿⡽⣯⣟⣷⣻⣞⣿⣳⢯⡇
⠀⠀⠀⠀⠀⠀⢸⣻⡽⣯⢿⡽⣾⣿⣳⢿⡽⣯⣟⣷⣻⢞⡷⣿⢯⣟⣯⣷
⠀⠀⠀⠀⠀⢀⡟⢯⡷⣯⢿⣽⣿⣳⢯⡿⣽⣳⢿⡼⣯⡿⣹⢧⢻⣞⡷⣻⡄
⠀⠀⠀⠀⠀⠈⣧⣿⡽⣯⣿⣿⣳⣯⣿⣽⣳⢯⡿⣽⣃⣴⡿⠀⡇⡾⣽⣳⣷
⠀⠀⠀⠀⠀⢰⣿⢯⣟⣷⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛⣉⣿⣿⠀⢷⣿⣽⣟⡾⣇
⠀⠀⠀⠀⣠⣿⢵⣿⡾⠏⠁⠉⠀⠹⠛⠟⢻⣿⡿⠿⣿⠻⠛⡦⢼⣿⢦⡿⣽⣻⡀
⠀⠀⠀⢠⣿⣽⣻⣾⣷⣶⠀⢀⣠⣀⡀⠀⢀⠀⡀⠀⠈⠀⠀⠀⢸⣿⣯⣟⣷⣻⣿⣱⡄
⠀⠀⠀⢸⣟⣮⣽⣿⣳⣟⡿⣟⡿⣷⣤⣤⣾⣤⣧⣤⣴⣷⣾⣿⣻⢷⣻⣯⢞⡷⣯⣻⣽⠯⢱
⠀⠀⢠⣿⣟⢲⣿⠷⠿⢞⡷⠶⣼⣌⣑⠻⡾⣽⢾⣽⣳⢯⣿⡷⣯⣟⡷⣯⣷⣹⣷⣯⡗⢀⡺
⢀⠴⡾⣟⣾⣿⠙⣤⠂⠁⠀⡠⠔⠛⢍⠛⢶⣟⡿⣞⡽⣯⢷⣿⢷⡯⣟⠓⣿⠿⠁⠘⢄⣸⣧
⠘⡆⠀⠹⠛⢻⡜⠈⠣⣔⠉⠀⠀⠀⢀⠳⡆⠛⢻⣽⣻⣽⣻⣯⢿⡽⢃⣼⣟⠀⣤⣠⠞⠁⠉⢳⣄
⠀⠈⠙⢲⣦⣼⢐⣎⠀⠀⠑⣤⠔⠈⠀⠀⠈⢢⠔⠙⣷⣯⣿⣯⣿⠽⣟⡿⠁⠉⠀⠘⡄⡷⡔⣜⣿⣧
⠀⠀⠀⠈⢇⠸⡏⡀⢡⠔⠈⠀⠉⠂⣤⣄⣊⣀⣵⣾⣿⣭⣏⣉⡵⢠⣾⠁⠀⠀⠀⠀⠰⠃⠸⣼⠿⣇
⠀⠀⠀⠀⠀⠙⢷⢥⠀⠂⢑⠤⡒⠁⠉⠉⠉⢙⠾⢿⣇⠊⠙⣀⠔⡇⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣦⠥⠈⠁⠀⠈⡐⠤⡔⠈⠀⠀⣺⢇⡀⠞⠁⣠⡿
⠀⠀⠀⠀⠀⠀⠀⠘⢦⠔⠒⠢⡁⠀⠀⢀⠨⠑⠫⣽⠋⣄⠤⢀⡞
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣈⡀⠬⠑⠎⣀⡀⡄⢴⡿⡊⠹⣠⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣀⠤⠐⠈⠉⢐⣼⣅⣻⠟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠈⣷⣤⡴⠊⣱⡟⡬⠷⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠉⢪⣠⠐⢩⠿⢂⡨⢖⣉⣧⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠛⠍⡀⠀⢑⠼⣸⣋⣶⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣦⣦⣘⣉⣂⣤⣵⣿⣾⢿⣿⢿⣿⣷⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣶⣿⣿⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣯⠿⣙⣋⠿⣯⣿⣿⣯⢿⣿⣿⣿⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣽⣶⣿⣿⣿⡿⣫⣾⣿⡇⡟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⢿⣿⣿⣻⠁⠀⢹⣿⣿⣧⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⡄⠀⢸⣿⣿⣟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⢿⣿⠀⠀⣿⣿⣿⣷⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡟⣾⣯⠀⠀⢹⢻⣿⡏⢻⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠧⢿⠿⠀⠠⣾⣾⣿⡇⠘⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁
⠀⠀⠀⠀⣀⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠐⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡶⠶⠓⠀
⠀⠀⠀⠀⠙⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣷⣷⡀
⠀⠀⠀⠀⠀⠀⢹⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⢻⡿⠷⣦⠄
⠀⠀⠀⠀⠀⠀⢸⡟⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠿⠟⠁⠀⠈⠁
⠀⠀⠀⠀⠀⠀⢸⡇⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠏
⠀⠀⠀⠀⠀⠀⢸⡇⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡟
⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠁
⠀⠀⠀⠀⠀⠀⢸⣿⠀⠈⡇⠀⠀⠀⢀⣠⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⢳⠇
⠀⠀⠀⠀⠀⠀⢸⣿⠀⡄⣿⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⠳⠤⡀⠀⠀⠀⣾⣿⡟⠀⡾
⠀⠀⠀⠀⠀⠀⠈⣿⣷⣿⣿⢠⣿⣿⣿⡿⣾⣿⣿⡿⠉⠠⠤⢬⣧⠀⢠⣿⣿⠀⡼⠃
⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⢿⣼⣿⣿⡟⠲⣽⡿⢩⠑⠓⠲⣤⠀⢹⢀⣾⣿⠏⡟⠁
⠀⠀⠀⠀⠀⠀⠀⢿⣿⣷⡈⢿⣿⣿⣧⠀⠻⠀⠘⠷⣦⣴⡀⠀⠘⣿⡿⠁⣼⠁
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⣽⡿⢛⣯⣹⡇⠀⢹⠀⣀⠉⠁⠸⢿⡿⠀⢰⠇
⠀⠀⠀⠀⠀⠀⠀⣸⠙⢛⠛⢩⡷⡯⠠⢹⣧⡀⣼⠀⢻⣿⣿⣯⣿⠃⢀⡏
⠀⠀⠀⠀⠀⠀⠀⡟⠀⠸⡄⠸⣱⣃⢃⡄⠣⠙⢾⡀⠈⠙⣿⣿⠁⢀⡞
⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠹⡄⠘⠻⠸⢿⣶⣶⣤⡎⠉⠉⡏⠙⢒⡞
⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⡄⢣⠀⠀⠀⠀⠀⠉⠉⠙⠢⣼⠀⢀⡎
⠀⠀⠀⠀⠀⠀⠀⠀⣨⣇⢱⡀⠀⠀⠀⠀⢀⣀⠤⠄⠀⠬⠦⠾⣄
⠀⠀⠀⠀⠀⠀⢠⣾⣵⠾⡄⠳⡀⣀⣴⠋⠁⢀⣀⡠⡤⠤⠴⠶⣶⡷⡄
⠀⠀⠀⠀⠀⢀⣿⣿⡟⠀⢳⣀⠟⠁⢈⣵⣾⣿⡩⠀⠀⠀⠀⠀⠀⠙⢻
⠀⠀⠀⠀⠀⠸⣏⣿⢡⣶⣿⣿⣀⣴⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢠⡏
⠀⠀⠀⠀⠀⠀⠿⡟⢈⡿⣿⠋⠹⣿⣿⣿⣿⣿⣿⣿⠖⠂⠀⣶⣶⠋
⠀⠀⠀⠀⠀⠀⠀⠹⣼⣿⡇⠀⠀⠈⢿⣿⣿⣿⣿⣿⡄⠀⠀⢸⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⢀⠀⠈⣿⣿⣿⣿⣿⣿⡀⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣷⠏⠀⠰⣿⣿⣿⣿⣿⣿⣧⢸⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿
⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣏⢿
⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣏⣼⡀
⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⣿⠿⣿⣿⣶⣄⡀
⣼⣿⣿⣿⣿⣿⣿⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣟⣏⣯⣿⣿⣧⡀⠻⢿⣿⣯⣷⣄
⠈⠻⠿⣿⣿⣿⣿⡟⣡⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠙⠻⣿⣿⣿⣦⡀⢙⣿⣿⣯⣳⡀
⠀⠀⠀⠘⠛⠋⠈⣿⣿⣿⣿⣿⣿⡿⠛⠁⠈⢢⡀⠀⠀⠈⢻⡿⠿⠿⠛⠻⣿⣿⡿⠇
⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣋⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠱⡀⠀⠀⠀⠠⡀⠹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠈⠳⡀⠀⠀⠱⡀⠀⠀⠀⠑⡀⠘⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣄⠀⠀⠀⠀⠘⣄⠀⣀⣳⡄⠀⠀⣠⠖⡏⠈⢳
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⢀⡤⠺⡍⢀⣀⣹⣠⠞⠁⣠⣼⣿⣿⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⣏⢀⣤⣾⣿⠙⠪⣿⠤⣼⣿⣿⣿⣿⡼⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⡆⢸⠀⠈⢻⣿⣿⣿⣿⣹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣧⡟⠀⠀⢠⣿⣿⣿⣿⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢸⣿⣿⣿⣿⣿⢧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⡿⠃⡼⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡿⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠏⠀⡼⠁⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠏⠀⣰⠁⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣷⣹⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡏⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣡⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡷⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡄⢳⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣧⢀⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠻⣿⣿⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢹⣿⣿⣿⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⣿⣿⣿⣿⣷⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢻⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠻⠿⠿⠿⠿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⢛⣉⠭⠭⠭⡭⠷⣦⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠞⠉⢀⣴⡮⠕⣾⣿⣿⣍⣻⡷⠶⢿⣟⣶⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢁⡤⣒⡮⠕⠁⠠⢶⣾⣿⣭⣜⣿⣿⠀⠀⣂⣙⣿⣿⢟⡆⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢠⢯⣮⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣿⣭⣿⣿⣾⣷⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡏⢾⣮⣿⣿⣿⣿⣿⣿⣧⣼⣷⣿⣿⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⡅⠀⠈⢧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠁⠀⠀⠀⠘⡄⠀⢘⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⢹⣿⣿⣿⣿⣿⡿⢿⠿⠟⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢃⣀⣠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⣼⣿⣿⣿⡿⠟⢡⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣖⣩⣶⣶⣿⣿⣿⣿⣦⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣾⣿⣿⣿⡧⠀⠀⠘⠢⠤⠀⠀⠀⠀⠀⠠⠤⣤⣶⣿⠟⢋⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀
⠀⠀⠀⠀⠀⣠⡴⠒⠒⢦⣀⠈⣿⣿⣿⣿⣥⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣾⣿⠃⠘⣅⣦⣾⣴⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⠀⠀⠀⠀⢚⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢀⣾⣿⢿⡏⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃
⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢱⠏⢫⣉⡹⢁⣼⡛⢹⢿⣿⣿⣿⣿⣿⣿⣿⣷⡀
⠀⠀⠀⠀⠀⠓⢄⡀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡰⠋⠀⠀⠀⠉⠁⠒⠋⠉⠀⡇⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠐⢤⡀⠀⠀⠀⠀⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⠀⠀⠤⣼⠆⠀⠀⠀⠀⠀⢰⣱⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦
⠀⠀⠀⠀⠈⠙⠢⡴⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢤⣴⣒⢒⣲⡴⠄⠀⠀⣠⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⠀⠀⠀⠀⠀⣠⡖⠃⢿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⠀⢳⣾⣏⡼⠀⠀⣰⠋⠁⠀⠀⢫⠻⣿⣿⣿⣿⣿⣿⣿⣿⣏
⠀⠀⠀⠀⠀⣏⠀⢠⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣀⠈⠁⣀⣥⣾⠃⠀⠀⠀⠀⣀⣳⡸⣿⣿⣿⣿⣿⣿⣿⣿⡆
⠀⠀⠀⠀⠀⢸⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠙⠛⢿⣿⣿⣿⣿⣏⠛⠛⠛⣋⡏⠀⢀⣠⠞⠛⠉⡀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠃
⠀⠀⠀⠀⠀⣿⠀⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢀⡙⢦⢄⣠⡟⠛⠛⢛⡟⠁⣸⠟⠁⠀⠀⠀⠱⡄⠀⠀⠈⣿⣿⣿⣿⣯⠀
⠀⠀⣠⡤⠤⠿⠀⢸⣿⣿⠟⠉⣟⠁⠀⠀⠀⠀⣠⠀⠀⠙⠪⠵⠀⠀⠒⠊⠁⠀⠘⣧⠀⠀⠀⠀⠀⠀⠱⠀⠀⠀⠈⣿⣿⣿⣿⣷⣦⡀
⠀⢠⠏⠀⢠⣾⣿⣿⡟⠁⠀⠀⠘⠧⣄⣠⢴⣾⣥⣀⠀⠀⠀⠠⣀⠤⠄⠀⣀⣀⣀⣈⣧⠀⠀⠀⠀⣀⣶⣶⣶⣶⣷⣿⣿⣿⣿⣿⣿⣷
⣠⠞⠀⣠⣾⣿⣿⣿⣧⡀⠀⠀⣠⢞⣿⡾⠿⠿⢿⣿⣿⣦⣀⣔⣥⣶⣾⣿⣿⣟⣻⣿⣿⣷⣀⣴⠺⡟⣿⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏
⢣⡀⠀⣾⣿⣿⣿⣿⢏⣱⣦⡞⢡⢞⡏⠀⠀⠀⠠⢌⡻⣿⣿⡿⠚⠉⠁⠀⠀⠀⣿⣿⢰⢻⣿⣿⣆⠹⣜⣯⠸⣿⣿⣿⣿⣿⣿⣿⣿⢣
⡞⠀⡀⣼⣿⣿⣿⢫⣴⣿⣿⡇⣿⣾⡷⣤⣀⣈⣉⣓⡿⣥⣽⣄⡂⠀⠀⠀⠐⣀⣿⣿⠘⢸⣿⣿⣿⣆⢹⣜⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢙⡞⣛⣿⣿⣿⣿⣿⣿⠘⣦⢳⡿⣿⣧⣏⣿⣟⢿⣿⣷⣽⣿⣿⣿⣿⢿⣿⣿⢿⣻⣟⣰⣿⣿⣿⣿⣿⠙⡿⣛⢿⣿⣿⣿⣿⣿⣿⡏⠁
⡎⠀⠃⣿⣿⣿⣿⣧⣿⡇⡔⠜⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣯⡳⣿⣽⣿⣭⣷⣿⣿⣿⣿⣿⣿⣿⣿⠀⣇⡏⣾⣿⣿⣿⣿⣿⣿
⢹⠀⠈⣿⣿⣿⣿⣿⣿⣿⣹⣄⢹⣿⣿⣿⣿⣿⣿⣿⢣⣿⣿⣿⣿⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡹⣠⣿⣿⣿⣿⣿⣿⡇
⠘⢆⠀⣻⣶⣿⣿⣿⣿⣿⣣⣻⣀⢻⣿⣿⡿⣿⣿⣿⣸⣿⣧⣿⢻⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢝⣿⣿⣿⣿⣻⣿⣿⣧⡀
⠀⣏⠸⣿⣿⣿⣿⣿⣿⣿⣷⣷⣼⣫⢟⣹⣿⣿⣿⣿⡟⣽⡿⢟⣯⡿⣻⡏⣼⣿⡿⣿⣿⣿⣿⣿⣿⡟⢸⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧
⠀⠙⢶⡌⠻⣿⣏⢹⣿⣿⣿⣿⣽⣕⣶⡯⣿⣿⣿⢿⡟⣯⣴⣿⣿⡇⣿⠃⣿⣿⣿⣾⣿⣿⣿⣿⣿⡇⡏⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟
⠀⢠⡏⠀⢀⣼⣿⣿⣿⣿⣿⠏⠐⠪⡙⢿⣾⣿⡯⣿⢱⡟⣿⣏⣿⢹⡿⣴⣿⣿⣿⣿⣻⡿⣟⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⣝⢤⡜⣿⣿⣿⣿⣿⡏⠀⠀⠀⠈⢢⠘⣿⣿⣟⣾⢃⣿⢸⡏⣼⡧⠞⣋⣭⣾⣿⣃⡻⢖⣛⣋⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⢿⣍⢁⣍⣹⣿⣿⣿⠀⠀⠀⠀⠀⠈⢆⢹⣿⣧⣿⢸⣿⣼⠟⠋⠀⠈⠛⠋⠀⣠⣾⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋
⠀⠀⠀⢉⡝⠋⠛⣩⣽⡇⠀⠀⠀⠀⠀⠀⢸⠀⢻⣿⣯⣼⡿⠁⠀⠀⠀⠀⠀⠀⠘⠿⢡⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇
⠀⠀⠀⠈⢷⣴⡛⢿⡿⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⢻⣿⠋⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⡎⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋
⠀⠀⠀⠀⠀⠀⠀⠀⡇⠑⢦⣄⡀⠀⠀⠀⠀⢃⣴⠟⠓⠋⠉⠉⠉⠙⠓⠶⣤⡀⠀⡰⠁⠀⣸⣿⣿⣿⢿⣿⣿⣿⠟
⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠈⠉⠓⠲⠶⠦⢾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠙⠳⣅⠀⢠⣿⣿⣿⣇⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢇⠀⠀⠀⠀⠀⢠⠃⠀⣀⣀⢀⠀⠀⠀⠀⠀⡰⠊⠀⠀⠈⢧⡟⠁⠈⠛⠛⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣾⣀⠀⠀⠀⠀⢨⣾⣿⠏⠁⣹⣛⡳⠶⣄⠊⠀⠀⠀⠀⢀⣼⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⣿⣿⠓⠶⢤⣮⣿⣿⣦⣲⡿⠿⠇⢿⣿⣿⣶⡀⠀⠀⡼⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⢻⣾⣣⣀⣼⡾⡽⠋⢹⣝⣮⣏⢯⣿⣿⣿⣿⣿⡦⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡼⣿⡯⢾⢿⡿⣷⣪⡟⣛⣛⢬⣿⣿⣿⣿⡿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣿⣯⣸⣿⡯⣁⡼⣟⣯⢉⣾⣿⣿⣿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡽⣏⣼⣪⠿⣿⣍⢳⢧⣿⣿⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡿⣿⡣⣀⣿⡿⢇⡘⢻⣿⣷⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡈⣿⡷⢟⡦⣑⢰⢻⣿⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣽⣧⣀⢟⡿⢯⡜⣿⣿⣿⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣎⣹⣲⢯⣳⣽⡳⠸⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⣯⣟⣿⣗⢄⡸⡿⣃⣀⢿⣿⣿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣹⡞⣏⡾⣷⣬⣽⡞⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⢸⣽⣃⢻⣿⣧⣈⣿⠟⡼⢻⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣎⣿⣷⡩⢷⣻⢳⠯⣖⣬⡟⣿⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⣿⣇⣄⢿⣟⡤⠹⡽⢃⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡿⡶⠋⢯⣿⡿⢿⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣾⡵⢞⣷⢯⣂⣷⣛⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡳⠋⠈⣿⣻⠙⢟⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣯⠞⠻⣿⢷⠿⣛⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠒⠒⠒⠢⢬⣿⣾⣅⡴⠿⣷⢤⡿⣛⠋⠉⠉⣉⠩⢶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡍⠒⠒⠒⢀⣰⠋⠀⠤⠔⠊⢙⣶⣿⣄⡈⠉⠉⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⠉⠉⢸⣄⠀⠀⢀⣠⣾⣿⢿⣿⣷⣷⡲⠶⢶⣛⠭⠽⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⡲⠶⠶⠲⠟⢹⠟⣿⣿⡏⠾⠯⢞⣩⢾⣻⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢰⠁⠀⠀⠀⠀⡜⣸⠿⢿⣿⣷⠻⣻⣓⣷⠟⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⢖⠒⣉⠼⠀⠀⠀⢀⡞⣴⣿⣿⣿⣿⡷⣪⡭⣭⣛⠛⠹⣏⣿⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠘⣧⣿⣿⣿⣿⣿⠽⠏⢚⡁⠄⢽⡴⣿⢹⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀⣿⣟⠢⣝⠶⣖⠋⠁⠀⢿⣏⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⢻⣿⡆⠘⡔⢌⢳⢰⣦⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠘⣿⣿⡀⢳⠉⠺⣿⡿⡜⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⢻⣿⣧⠈⣗⢹⢮⢠⠇⣻⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠘⣆⣸⣙⣡⡿⠞⠁