Powerful Shield Emoji Combos

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