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@Veedrac
Last active Oct 1, 2020
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Is it Hard for Biological Neural Networks To Learn the Game of Life, too?
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input: output:
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┃ ▓ ▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓┃
┃ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓┃
┃▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓┃
┃ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ░ ▓ ┃
┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓░▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓ ▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓┃
┃ ▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓┃
┃▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓┃
┃ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓┃
┃▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓┃
┃▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓░▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓░▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓┃ ┃▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓┃
┃▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░ ▓▓▓┃
┃ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓ ▓▓▓░▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓▓▓▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓┃ ┃ ░░░▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ░░▓▓▓▓▓ ▓▓▓░░ ▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓░░ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓░░▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓▓░░▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓░▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓░▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓░░░▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓░░░░░▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓░░▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓░░▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓░░▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓┃
┃ ▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓┃
┃▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓ ┃
┃ ▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓░░░▓▓▓▓┃
┃▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓┃ ┃▓▓░ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓░░░▓▓▓▓┃
┃▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓ ┃ ┃▓▓ ▓▓▓▓▓ ▓▓▓▓░ ┃
┃▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓░ ┃
┃ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓░░ ▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓┃
┃▓ ▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓┃
┃▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓┃
┃ ▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓░░▓▓▓▓▓ ▓▓▓▓┃
┃▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓░░▓▓▓ ▓▓▓▓ ▓▓▓▓┃
┃ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓┃
┃ ▓▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓┃
┃▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓░ ┃
┃▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓ ┃ ┃▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓░░ ┃
┃ ▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░░ ┃
┃ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓░░▓▓ ┃
┃▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓░░▓▓ ┃
┃▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓░░░▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓ ░▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓▓▓▓▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓ ░░░░░ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓░░░░ ▓▓┃
┃ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓┃
┃ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ░▓▓ ┃
┃ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ░░▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓░░░ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓░░░ ┃
┃▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓░░▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ░░░▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ░░ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ░░ ┃
┃ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓░ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓░░ ▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓░ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ░░░░ ┃
┃▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ░░░ ┃
┃ ▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓░░ ┃
┃▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓┃
┃▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ░▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ░░ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓┃ ┃ ░ ░ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓ ▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓┃ ┃ ▓▓ ▓▓ ▓▓ ▓▓▓▓┃
┃ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓┃
┃▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ░░▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ░▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓▓▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓ ┃
┃▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓▓ ▓┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ░▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓░░▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓┃
┃▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓┃ ┃▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓┃
┃▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓┃
┃▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓┃
┃ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓┃ ┃ ▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓┃
┃ ▓ ▓▓▓▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓┃ ┃ ▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ░▓▓▓▓ ▓┃
┃▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ░░ ▓▓▓▓▓┃
┃▓ ▓▓▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ░░ ▓▓▓▓┃
┃▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓▓ ░░ ▓▓▓▓┃
┃▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓▓▓┃ ┃ ░▓░▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓┃
┃ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓▓▓▓▓ ▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓┃
┃ ▓▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓┃
┃▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓┃
┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓┃
┃ ▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓░▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓░░▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓░░▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓░░ ▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓░░ ▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃ ┃▓▓▓▓ ▓▓▓▓░░ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓ ▓ ┃
┃▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓┃
┃ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓┃ ┃▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓┃
┃▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓░▓▓▓▓ ▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓┃
┃ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓░░░▓▓▓▓▓▓ ▓▓┃
┃▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓░░░▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓░ ▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓░░ ▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓ ▓▓▓┃
┃ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓ ░░┃
┃▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃▓▓ ▓ ░░▓▓▓ ▓▓ ░░┃
┃▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ┃ ┃▓▓▓▓▓ ░░░░ ▓▓▓ ░░┃
┃▓ ▓ ▓▓▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓░ ▓▓▓▓▓▓▓┃
┃▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓┃
┃▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓┃
┃▓▓▓▓▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ░ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ░░ ▓▓▓▓░ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓░░ ▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓░░▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓░░▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓┃ ┃▓▓▓ ▓▓▓▓▓ ░ ┃
┃▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓ ┃
┃ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓ ▓▓ ▓▓▓ ▓▓ ┃
┃▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓░ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ░ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓░░░ ┃
┃ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓░░ ┃
┃▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ░▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃▓▓ ▓▓▓▓▓▓ ░▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓▓▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃▓▓▓ ▓▓▓▓▓▓ ▓▓░░▓▓▓ ▓▓ ░ ┃
┃▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓░░▓▓▓ ▓▓▓▓▓▓┃
┃ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓ ▓▓▓▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓┃
┃ ▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓┃
┃ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ░ ┃
┃▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓ ▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓░░▓▓▓ ┃
┃▓▓▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓░░▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓░░▓▓▓▓▓▓┃
┃ ▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓▓▓▓┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓┃
┃▓▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░ ▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░ ▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓░ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ░ ▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓ ┃
┃▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ┃
┃ ▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓ ┃
┃▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓┃
┃▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓┃
┃▓▓▓▓▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓┃
┃ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓┃
┃▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓░ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓┃
┃ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓ ┃
┃ ▓▓ ▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓ ▓┃ ┃ ░░░ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ░░░ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ░░ ┃
┃▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ┃ ┃ ░░░ ▓▓▓ ▓▓▓ ░░░ ┃
┃▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓┃ ┃▓▓ ░▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓░░ ┃
┃▓▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓░ ┃
┃ ▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓ ┃ ┃▓▓░░▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓┃ ┃ ░▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓▓▓▓▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓░ ▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓░▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ░▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓ ░░▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ┃ ┃ ░░▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓░░░ ▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓░░ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓░ ▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓ ▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓░░░░ ░┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓░░░░ ▓▓┃
┃▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓┃ ┃ ▓▓ ▓▓ ▓▓ ▓▓┃
┃▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓ ▓▓┃
┃ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓┃
┃▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓░░ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓░ ┃
┃▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓ ░░ ┃
┃▓▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓ ░░ ┃
┃ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ░░ ┃
┃ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓░ ▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓ ┃ ┃▓▓▓▓▓▓░░▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ┃
┃ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓┃
┃▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓┃
┃▓▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓░▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ░ ┃
┃▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ░ ┃
┃▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓┃ ┃▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓▓▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ░▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ░░▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓░░▓▓┃
┃ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ░░ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ░░░░▓▓┃
┃ ▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ░░ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ░ ░░░░▓▓┃
┃▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ░░ ▓▓┃
┃ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓ ░░ ▓▓┃
┃ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓┃
┃▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ┃ ┃ ░░░ ▓▓▓ ▓▓▓▓ ▓▓▓┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓┃ ┃ ░░░ ▓▓▓▓▓▓▓ ▓▓▓┃
┃ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ┃
┃▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ░░ ┃
┃ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓ ▓▓▓ ░░ ▓▓┃
┃▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓┃
┃▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓░ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓░░ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ░░░░ ▓▓▓▓┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓ ░░░ ▓▓▓▓┃
┃ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓░ ▓▓▓ ┃
┃▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓┃
┃ ▓▓ ▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓┃
┃ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓┃
┃ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓┃
┃▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ░░░ ▓▓▓ ┃
┃▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ░░░ ░░ ┃
┃▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ░░ ▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓░░▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓░░▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓┃ ┃▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓▓░░░▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓░░░▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ░░░░░▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓┃ ┃ ░░░ ▓▓▓ ▓▓ ▓▓┃
┃ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓ ▓▓┃
┃ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓┃
┃▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓┃ ┃▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃ ▓ ░ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓┃
┃▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓┃
┃ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓ ┃
┃▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓░ ▓ ┃
┃ ▓▓▓▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓ ┃
┃▓▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓┃ ┃▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓▓▓▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓░ ┃
┃▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓ ▓▓░░ ┃
┃ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓┃
┃ ▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓┃
┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓ ░░ ▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ░░ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓┃
┃ ▓ ▓ ▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓┃
┃ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓░▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓┃
┃▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓┃
┃ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓┃ ┃ ▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓┃
┃▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓┃
┃ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓┃
┃ ▓ ▓▓▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓░░ ▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓░ ▓▓▓ ▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓░ ▓▓▓ ▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓┃ ┃▓▓ ▓░▓ ░░░▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓┃ ┃▓▓ ▓▓▓ ░░▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ┃ ┃▓▓ ▓▓▓ ░▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ┃ ┃▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓┃ ┃▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓▓▓┃ ┃▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃ ┃▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓┃ ┃▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃▓▓ ▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ┃ ┃▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ┃ ┃ ░░░ ▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓┃ ┃ ░░ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓▓▓▓▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓░ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓░ ▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓░ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓░ ▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓▓▓▓▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓┃ ┃▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓ ┃ ┃▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓┃ ┃▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓ ┃
┃▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ┃ ┃▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ┃ ┃▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓ ▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ░ ┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓┃
┃ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓┃
┃▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓┃
┃ ▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓ ┃ ┃ ░░ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ┃ ┃ ░░ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓┃ ┃ ░▓▓▓▓▓▓ ░▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ░░░░ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ░░░░ ┃
┃▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ░░░░ ┃
┃▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓┃ ┃ ░▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓ ┃ ┃ ░░▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓▓▓▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓ ┃
┃ ▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓░░░ ▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓ ░░ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓ ░░ ▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓ ░ ▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ░░░ ┃
┃ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ░░░ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓┃ ┃ ░░ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓┃ ┃ ░░ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓ ┃ ┃ ░ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓░░░░ ┃
┃▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓┃ ┃▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ░░░ ┃
┃▓▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ┃ ┃▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ░░░ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ┃ ┃▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓░ ┃
┃ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓┃
┃ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓░░▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ░░░░▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓▓┃ ┃▓▓░░░░▓▓▓▓▓░░░░░░▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓┃ ┃▓▓░░░░▓▓▓▓▓░░░ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓┃ ┃▓▓ ▓▓▓▓▓▓▓░░ ▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓░ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓░▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓░░▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓ ░░ ┃
┃ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓ ░░ ┃
┃▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓┃
┃▓▓▓ ▓▓▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓┃ ┃▓▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓┃
┃▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ┃ ┃▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓┃
┃▓ ▓ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓┃
┃ ▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓┃
┃ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓┃
┃▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃ ░▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓░▓▓▓▓ ▓▓┃
┃ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓┃
┃ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓░▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓┃ ┃▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓┃
┃▓▓ ▓▓▓▓▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓┃ ┃▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓┃
┃ ▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ░ ┃
┃▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓┃ ┃ ░░ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓┃ ┃ ░░ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓ ░ ┃
┃▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ▓ ░░░░ ┃
┃▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓ ░░░░ ┃
┃ ▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓ ┃
┃▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓┃ ┃▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓┃
┃▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓┃ ┃▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓┃
┃▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓┃
┃▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓░ ┃
┃ ▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓┃
┃▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓┃
┃▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓┃
┃ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓▓▓┃ ┃ ▓▓┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓┃
┃▓▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓░░ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ┃ ┃ ░░░░▓▓▓▓▓▓░ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ░░░▓▓▓▓▓▓░ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃ ░░▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓ ▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓┃ ┃▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ┃ ┃▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓ ░▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ░ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ░░ ▓▓▓ ┃
┃ ▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ┃ ┃▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃▓▓▓ ▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓ ░░ ▓▓ ┃
┃▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ░░ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ░░ ▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃▓▓ ░ ▓▓ ░ ▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃▓▓ ░░ ▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ┃
┃▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ░░ ▓▓▓▓┃
┃▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ░░ ▓▓▓▓┃
┃ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓░ ░ ▓▓▓▓┃
┃ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓┃
┃ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓ ▓┃
┃▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓┃
┃ ▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓░▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓░░░▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓░░░▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓░░░▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓┃ ┃▓▓░░░▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓┃ ┃ ░░▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓┃
┃▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓ ▓▓ ┃
┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓░ ▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ░░░░ ┃
┃▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ░░░░ ┃
┃▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓ ▓ ░▓▓▓▓┃
┃▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓┃
┃▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓░░░░▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░░░▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓▓▓▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓ ▓▓ ░▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓░ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓ ▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓┃
┃▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ┃ ┃▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ┃ ┃▓▓▓ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓ ┃
┃▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓░░░░▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓░░░░▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓┃
┃ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓┃
┃▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓┃
┃ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓░░▓▓┃
┃▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓░░▓▓┃
┃ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓░░░ ┃
┃▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓░░░ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓░░░ ┃
┃▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓┃
┃▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓┃
┃ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓┃
┃▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ┃ ┃▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃▓▓ ▓ ▓▓▓▓ ▓▓ ┃
┃▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ┃ ┃▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃▓▓ ▓▓ ▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓┃ ┃▓▓ ▓▓▓ ┃
┃▓ ▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓░░ ┃
┃▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓░ ┃
┃ ▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓┃
┃ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ░ ▓▓▓▓▓▓▓▓ ▓ ▓▓▓▓▓ ▓┃
┃ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ░░▓▓▓▓▓▓▓▓▓▓▓▓ ▓ ░░ ▓┃
┃▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓┃ ┃▓▓▓░░▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ░░ ▓┃
┃▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓ ▓┃ ┃▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓ ▓┃
┃ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓ ▓┃
┃ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓┃
┃ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓┃
┃▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ░ ┃
┃ ▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ┃
┃ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓░░░░░ ┃
┃ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓░░▓▓▓ ▓▓▓▓░░░▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓┃ ┃▓▓▓▓ ▓▓▓░░▓▓▓ ▓▓▓▓░░░▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓┃ ┃▓▓▓▓ ▓▓ ░▓▓▓▓▓▓▓▓▓▓░░░▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓▓▓▓▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓░░░▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓░░░▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ░▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓┃ ┃▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓┃
┃ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓┃
┃▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓┃ ┃▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓ ┃ ┃▓▓▓ ▓▓▓ ▓▓▓▓░▓▓▓░░▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓░░▓▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃ ┃▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓░░▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓░ ▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓ ┃ ┃▓▓ ▓▓▓ ▓▓▓▓░░ ▓▓▓▓ ┃
┃▓▓▓▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓┃ ┃▓▓▓▓ ▓▓▓ ▓▓▓▓░░ ▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃▓▓▓▓ ▓▓▓ ▓▓▓▓▓░▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓ ▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓ ┃
┃▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓▓▓▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓░ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓░ ▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓ ┃
┃ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓░ ▓▓┃
┃▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓┃
┃ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓┃
┃ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓▓┃ ┃ ▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓ ▓ ▓▓┃ ┃ ░ ▓▓▓ ▓▓▓▓▓ ▓▓┃
┃ ▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ░ ▓▓ ▓▓▓ ▓▓┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ░░░░▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓┃ ┃ ░░░░▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ░░░░▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓ ░░ ▓▓▓ ┃
┃▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃▓▓▓▓▓▓ ▓▓ ▓▓▓░░░░ ▓▓ ┃
┃ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓░░░░ ┃
┃▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ░ ┃
┃▓ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ░ ▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓┃ ┃ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓░ ┃
┃ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓░░ ▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓░░▓▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓┃ ┃▓▓ ▓▓▓▓▓░░▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓┃ ┃▓▓▓▓ ▓▓░░░▓▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓░░ ▓▓▓▓▓▓ ░ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓┃ ┃ ░░ ░░░░ ▓▓▓▓▓▓▓ ░░ ┃
┃ ▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓▓┃ ┃ ░░▓▓▓▓▓░░░▓▓ ▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓┃ ┃ ░▓▓▓▓▓░░░▓▓ ▓▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓░░░░ ▓▓▓┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓┃ ┃ ░░░ ▓▓ ▓▓▓┃
┃▓▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓┃
┃▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓┃
┃▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓ ░▓▓▓▓▓ ░░ ┃
┃ ▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓ ░▓▓▓▓▓ ░░ ┃
┃▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃▓▓ ▓▓▓▓▓ ░▓▓▓▓▓▓▓░░ ┃
┃▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓ ░░▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ░░░ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓ ░░░ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ░▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓░▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓┃ ┃ ░░░░ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ░░░░ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓ ▓▓▓ ░░ ┃
┃ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓ ▓ ▓▓▓▓ ░░ ▓▓▓┃
┃▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ░░ ▓▓▓┃
┃▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓░░▓▓▓ ▓▓ ▓▓┃
┃▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓ ▓▓░░▓▓ ▓▓ ▓▓┃
┃ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ▓▓░░░ ┃
┃▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓░░░░░▓▓ ▓▓ ▓▓ ▓▓░░░ ┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓░░░░░▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ┃
┃▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ░ ▓▓░░░░░▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ┃ ┃ ░ ░░░░░▓▓ ░▓▓ ▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓┃ ┃ ░░░░░ ▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ░░░░░ ▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓ ▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓ ┃
┃▓▓▓▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓▓▓▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓┃ ┃▓▓▓ ▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ┃ ┃▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓ ┃ ┃▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓▓┃
┃▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓┃
┃ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ░▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓▓ ▓┃ ┃ ░░ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓ ┃ ┃ ░░ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓┃ ┃ ▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓┃ ┃ ░ ▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓ ┃
┃▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓ ▓▓┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓┃
┃ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ░░░ ┃
┃ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ░░░ ▓▓▓▓▓▓▓░▓▓▓▓ ░░░ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ░░░ ▓▓▓░ ▓▓░░░ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ░░░ ░░ ▓▓░░░ ┃
┃▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓ ░░ ▓▓ ┃
┃▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ░▓▓▓ ▓▓ ┃
┃▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓▓▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓┃
┃ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓┃
┃ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓┃
┃ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓┃
┃ ▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓┃ ┃ ░▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓┃ ┃ ░░▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓┃ ┃ ▓▓░░▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓░░▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓ ▓▓▓▓▓ ┃
┃▓▓▓▓▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓░▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓┃ ┃▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓▓ ▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓┃ ┃▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓┃
┃ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓┃
┃▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ░░░▓░ ▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ░░▓▓▓░░▓▓ ▓▓▓┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓┃ ┃ ░░▓▓▓▓░░▓▓ ▓▓▓┃
┃ ▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓░░▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓░░░▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓┃ ┃ ▓▓ ░░░░░▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ░░░░░▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓┃ ┃▓▓▓▓▓▓ ▓▓▓░░▓░░░░░▓▓▓▓ ▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃▓▓▓▓▓ ▓▓▓░░▓░░░░░▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓░░░ ▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓░░▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ░░░▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓┃ ┃ ░░▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓ ░▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓┃
┃▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓┃ ┃▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓┃ ┃▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ┃ ┃▓▓ ▓▓ ▓▓▓▓ ░ ┃
┃ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓ ▓▓ ░░ ┃
┃ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓┃ ┃ ░ ▓▓▓ ▓▓▓▓▓▓▓▓▓┃
┃ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓┃
┃▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓┃
┃ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓┃
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓▓┃ ┃▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓┃
┃▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃ ┃▓▓▓▓░░ ▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓░ ▓▓▓ ░▓▓▓▓▓ ░░ ┃
┃▓▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓┃ ┃▓▓▓▓ ▓▓▓▓ ░░▓▓▓▓ ░░ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ░░ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ░░ ┃
┃▓ ▓ ▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ░░ ┃
┃ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ░░ ┃
┃▓ ▓ ▓ ▓▓▓▓▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓ ░░ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ░░ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ░▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ┃ ┃ ░ ▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓ ┃
┃▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓ ▓▓▓ ┃
┃▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ░░ ┃
┃ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ░░ ┃
┃ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓ ▓▓▓ ▓▓ ┃
┃ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓┃ ┃ ▓▓▓ ▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓ ▓▓▓▓▓▓▓░ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓┃
┃ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓┃
┃ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓ ▓▓ ▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓┃
┃▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃ ░░░░▓▓▓▓▓▓▓▓▓▓▓▓░░▓▓▓▓▓┃
┃▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓░ ▓▓▓ ▓▓░▓▓▓▓▓▓┃
┃ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓░░▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓┃
┃▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓░░▓▓▓▓ ▓▓▓▓ ▓▓┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓░░░░ ▓▓▓▓▓ ▓ ░░┃
┃ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓░░░░ ▓▓▓▓▓▓▓ ▓ ░ ┃
┃ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓ ░░ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓░▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓░▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ░▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓┃ ┃▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓┃
┃▓▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓┃
┃▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓┃
┃▓▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓┃ ┃▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ░░░▓▓▓▓▓┃
┃▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓░░░ ░░▓▓▓▓▓┃
┃ ▓▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓▓░░░░ ▓▓▓▓▓┃
┃▓▓▓ ▓▓▓▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓┃
┃▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓┃
┃▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓┃
┃ ▓▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓┃
┃ ▓▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓░░░▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓░░░▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓░░░▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓░░▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓░░▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓┃ ┃ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓░ ┃
┃▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓░░▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ░░▓▓▓▓▓▓ ▓▓▓▓░░▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓ ░▓ ░░▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓ ░▓▓▓▓▓ ▓▓▓┃
┃ ▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓ ░░░ ▓▓┃
┃ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ░░░ ┃
┃▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ░░▓▓ ┃
┃▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓▓░░ ▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓┃ ┃▓▓▓▓▓▓░░▓▓▓▓▓░ ▓▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓░░▓▓▓▓▓ ░░░▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓┃ ┃▓▓▓▓ ▓▓▓▓▓ ░░░▓▓ ▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓ ░░░░ ▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓ ░░░░ ▓▓▓ ┃
┃▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ░░ ┃
┃▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ░░ ┃
┃▓▓▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓▓┃ ┃ ░▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓░░▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓┃
┃▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓░░░▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓▓▓▓ ▓┃ ┃ ░░▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓┃ ┃ ░▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓┃
┃ ▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ░░░░░░░▓▓▓░ ▓▓▓▓▓▓▓┃
┃▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ░ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓ ▓ ▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓░░▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓▓▓▓┃ ┃▓▓▓▓ ▓▓▓▓░░▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓┃
┃ ▓▓▓▓▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓┃
┃ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓ ░▓▓▓ ▓▓▓▓▓▓┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ░▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃ ░░▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓ ┃ ┃ ░░▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓┃ ┃ ░▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓▓┃ ┃ ░░▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ░▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓┃
┃▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓┃
┃▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓┃ ┃▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓┃
┃▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓┃ ┃▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓┃
┃▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ┃ ┃▓▓ ▓▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ┃ ┃▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓ ░░ ┃
┃ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ▓▓▓ ░░ ┃
┃▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓░ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓┃
┃ ▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓┃
┃▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓┃ ┃▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓┃
┃▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓░░▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓░░▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓┃ ┃ ▓▓ ░▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓ ░▓▓ ▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓░░░▓▓ ▓▓ ▓▓ ┃
┃▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓┃ ┃▓▓▓░░ ▓▓▓ ▓▓ ▓▓ ┃
┃▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ┃ ┃▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓░░▓▓▓▓ ▓▓▓ ┃
┃▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓░░▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ┃ ┃▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓▓▓ ▓▓▓┃ ┃▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓┃ ┃▓▓▓▓ ░░ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓ ░░ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓░ ┃
┃▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓░░ ▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ░▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓░ ┃
┃ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓ ░░ ┃
┃▓▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓ ░░ ┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓┃
┃ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓┃
┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃ ▓▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓┃
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓ ▓▓▓ ▓▓▓▓▓┃
┃▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓┃ ┃▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓▓┃
┃▓▓▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓ ░░ ┃
┃▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ░░ ┃
┃▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓┃
┃ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ░▓▓┃
┃▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓┃
┃▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓┃ ┃ ░▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓┃
┃ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓┃
┃▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ░░▓▓▓▓▓▓▓░░░▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃ ░░░░░░▓▓▓▓▓▓░░░▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓┃ ┃ ░░░░░░▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓ ┃ ┃ ░░▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓ ┃ ┃▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓ ▓▓ ░ ┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓┃ ┃▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓ ▓▓▓▓▓▓▓▓ ░░░ ┃
┃▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ░ ▓ ▓▓▓▓▓▓▓▓ ░░░▓▓▓┃
┃ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓░░░░░▓▓▓▓┃
┃▓▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓░░░░▓▓▓▓▓┃
┃ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓ ▓▓ ▓▓▓▓░░▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓▓ ┃ ┃▓▓▓▓▓▓ ▓ ▓▓▓▓░░▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓▓ ┃ ┃▓▓ ▓▓▓▓ ▓▓▓▓░▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓┃ ┃▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓ ┃ ┃▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓┃
┃▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓┃
┃▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓┃ ┃▓▓ ░ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓┃
┃ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓┃ ┃ ░░ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓┃
┃ ▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓ ┃ ┃ ░░░ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓░░░▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓░░▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓▓▓▓▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓ ┃
┃▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ░ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓┃ ┃ ░░ ░▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓░░░ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓┃ ┃ ▓▓░░░ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓┃
┃ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓┃ ┃ ▓▓ ░░░ ▓▓▓▓ ▓▓▓▓▓┃
┃▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓┃ ┃ ▓▓ ░░░ ▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓ ┃ ┃ ░▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓┃
┃ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃▓▓▓▓▓ ▓▓▓┃
┃▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓▓▓┃ ┃ ▓░▓ ▓▓▓▓▓▓▓▓▓▓▓░░▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓░░▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓┃ ┃▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓┃ ┃░░ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃░░ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓ ┃ ┃▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓ ▓▓ ▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓ ┃ ┃▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓┃ ┃▓▓▓ ▓▓▓▓▓░ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓ ░░▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓▓ ▓▓▓▓▓ ░▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓┃ ┃▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓░░▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓┃
┃ ▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓▓░░▓▓▓▓▓▓░░▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓░░▓▓ ░░ ▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓ ░░ ▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓┃
┃ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓┃
┃▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓┃ ┃▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓┃ ┃▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓┃
┃▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓┃
┃▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓▓▓▓▓▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓┃
┃▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓┃
┃ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓┃
┃ ▓▓▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ┃
┃▓▓▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃▓▓▓ ▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓┃ ┃▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓ ▓ ▓┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ░░ ▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ░░ ▓ ░░ ▓▓ ▓▓▓▓┃
┃▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓┃ ┃ ░░ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓┃
┃ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ░░ ▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓┃
┃ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓ ┃ ┃▓▓▓▓▓░░▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ▓ ┃ ┃ ░▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓░ ┃
┃▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓░░░▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓▓░░▓▓▓▓▓▓▓▓▓▓░░░▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓░░▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓░░ ▓▓▓▓▓▓┃
┃ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓░░ ▓▓▓▓ ▓▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓░░ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ░▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓┃ ┃ ▓ ▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓┃ ┃▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓┃
┃▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓ ░▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ░░▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ░░▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓┃ ┃ ░░ ▓▓ ▓▓▓▓ ▓▓┃
┃▓ ▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓┃
┃ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓┃
┃▓▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓░░▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓░░▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓░░ ▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓░ ▓ ▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓ ▓▓▓▓▓▓▓▓ ▓ ▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓░░ ┃
┃▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓░░░ ┃
┃ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓ ░░ ▓▓ ┃
┃ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓ ▓▓▓ ▓▓ ▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ░▓▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ░▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░░░▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░░░░▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ┃ ┃ ░░▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░░░▓▓░ ┃
┃ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓▓┃ ┃ ░▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░░░▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ░░ ┃
┃▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ░░ ┃
┃▓ ▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓▓▓▓▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓┃
┃ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓┃
┃▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓ ▓▓┃
┃▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓┃ ┃▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓┃
┃ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓┃ ┃ ▓▓░░░▓▓▓▓ ░░▓▓ ▓▓┃
┃▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓░░░▓▓▓▓ ░░▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ░░░▓▓▓▓ ░░▓▓ ┃
┃▓▓▓▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓ ░░ ░░ ┃
┃▓▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓░ ▓▓▓▓ ▓▓▓░░ ┃
┃▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃▓▓ ▓▓▓▓░ ▓▓▓▓▓ ▓▓▓░ ┃
┃▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ░░░░░ ▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ░░░░░░░░░░▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓░░▓▓░░▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓░ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓┃ ┃ ▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓┃
┃▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓┃
┃▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ┃ ┃▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃▓▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓┃
┃▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ░▓▓▓ ▓▓┃
┃ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ░░▓▓▓▓ ▓▓┃
┃▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓▓ ░░ ▓▓▓▓▓▓▓▓┃
┃▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓ ░░ ▓▓▓▓▓▓▓▓┃
┃▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓ ▓▓ ▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓┃
┃▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓░▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓░░░▓▓ ▓▓▓▓▓▓▓┃
┃▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓░░░░▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓┃
┃▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓ ░░░░ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓┃
┃ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓▓▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓░ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓┃
┃▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓░░░░▓▓▓ ▓▓┃
┃ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓░░░░▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░░▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓▓┃ ┃ ▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓┃
┃ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ┃ ┃▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓ ▓▓ ▓▓▓▓▓▓░▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓░░░▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓▓ ▓ ┃
┃▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓ ┃
┃ ▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓░░▓▓ ▓▓ ┃
┃▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓░░▓▓ ▓▓ ┃
┃ ▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░░▓▓ ┃
┃▓ ▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░ ┃
┃ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓┃
┃ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓┃
┃▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓┃
┃▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓┃ ┃ ▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓┃
┃▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓ ▓▓▓▓▓▓░ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓░▓▓ ▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓░▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓ ┃ ┃ ░▓▓▓▓▓░░▓▓ ▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃░ ▓▓▓▓▓▓░░▓▓ ▓ ▓▓▓ ┃
┃▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓┃ ┃▓ ▓▓▓▓▓▓░░▓▓▓ ▓ ▓▓▓▓░ ┃
┃▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓▓▓▓ ▓▓ ┃ ┃▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓░░ ┃
┃ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓┃ ┃▓▓ ▓▓▓ ░░ ▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ┃ ┃ ▓ ▓▓▓▓▓▓▓▓░ ▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓┃
┃▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓┃
┃ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓ ┃
┃▓ ▓ ▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ┃
┃ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓ ▓▓┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓ ┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓░░▓ ┃
┃ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓░ ▓▓░░▓▓ ┃
┃ ▓▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓ ┃ ┃▓▓ ▓▓ ▓▓▓ ┃
┃▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓▓▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓┃ ┃▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ░▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓▓▓ ┃ ┃▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ┃ ┃▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓┃
┃ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓ ▓▓▓▓▓▓▓▓▓▓▓ ░░ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ░░ ┃
┃ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ░░ ┃
┃▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓░▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓░░▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓░░▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓ ┃ ┃ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ┃
┃▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓ ┃
┃▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓┃ ┃ ▓ ▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓ ▓▓░░░▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓░░░▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓░░░▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓┃ ┃ ░░░ ▓▓▓▓ ▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓ ░░ ░░ ▓▓▓ ┃
┃▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ┃ ┃▓▓ ▓▓▓▓ ░░ ░░ ▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓▓▓▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓ ░░ ▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓ ░░ ▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓┃
┃▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓┃
┃ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓ ▓▓▓▓▓▓▓░ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓░░ ▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ░ ▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ░░ ▓▓▓▓▓░▓▓┃
┃ ▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓░░▓▓┃
┃ ▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓┃
┃▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓┃
┃ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓┃
┃ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓▓▓▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓ ▓▓▓▓▓▓▓▓▓ ▓ ▓ ▓┃ ┃▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ░ ┃
┃▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓┃ ┃▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓┃
┃▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓┃ ┃▓▓▓ ▓▓▓ ▓▓▓▓▓┃
┃ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ┃ ┃ ░░ ▓▓▓▓ ▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ░░ ▓▓▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓░ ░░▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ░▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓┃ ┃▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓┃ ┃▓▓▓▓▓░░░ ░░ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓▓┃ ┃▓▓▓▓▓░░░░ ░░ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓ ▓▓▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ┃ ┃▓▓ ░▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓┃ ┃ ░▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃▓▓ ░▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓┃
┃▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓┃ ┃▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓┃
┃▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓░ ▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓┃ ┃ ░▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓░░░▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓░░░▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓░░░▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓┃
┃▓▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓┃ ┃▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓▓▓┃
┃ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ░ ┃
┃ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ░ ┃
┃ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓░ ▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓░░ ┃
┃▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓░ ┃
┃ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓▓ ┃ ┃ ░░░▓▓▓ ▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓┃ ┃ ░░░░▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓▓▓┃ ┃ ░░░▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ░░▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ┃
┃▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓┃ ┃ ░░░░ ▓▓▓▓ ▓▓ ▓▓ ░ ┃
┃ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ░░░ ▓▓▓▓ ▓▓▓ ░░ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ░░ ▓▓▓▓░░▓▓▓ ░░ ▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓▓ ▓ ▓▓▓ ┃ ┃▓▓▓▓▓ ░░░░░▓▓▓▓░░▓▓▓ ░░ ▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ┃ ┃▓▓▓▓▓ ░░░░░ ░░░░░▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓░░░░ ░░░░░▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ░ ┃
┃▓▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓░▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓ ▓▓▓▓▓┃
┃ ▓▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓┃
┃▓ ▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓ ┃
┃▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓░░▓▓ ░ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃ ░░░░░▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ┃ ┃ ░░░░░ ▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓┃
┃ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓┃
┃ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓┃
┃ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓┃
┃ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓┃
┃▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ┃ ┃▓▓ ░ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ░▓ ┃
┃ ▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓┃
┃ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓┃
┃ ▓ ▓▓▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ▓ ┃
┃▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ░ ▓▓▓▓ ▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓░ ▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓ ▓▓ ┃
┃▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ░░ ┃
┃ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓▓ ░░ ┃
┃▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓░░ ┃
┃▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓░░░ ┃
┃▓▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓░░░░ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓▓▓ ▓┃ ┃ ░░▓▓▓▓▓▓▓▓▓░░▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓ ░░░▓▓ ▓▓░░▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓ ┃ ┃ ▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ░ ▓▓▓▓▓▓▓ ▓▓┃
┃ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓┃ ┃ ░ ▓▓▓▓▓▓▓▓▓▓ ▓▓┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ┃ ┃ ░▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ┃ ┃ ░░▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ░▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓ ░▓▓▓┃
┃▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓░░░░┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓┃ ┃ ▓▓ ▓▓ ▓▓░░░░┃
┃▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓▓░░░ ┃
┃▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ░░ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ░░ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓░▓▓▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓ ▓▓▓░░▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓░▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ┃ ┃▓▓▓▓░░░▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓░░░▓▓▓▓▓▓▓▓▓▓▓▓▓░░░▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓░░░▓▓▓▓▓▓ ▓▓░░░▓▓▓ ▓▓ ┃
┃ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ░░░ ▓▓ ▓▓░░░▓▓▓ ▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓░░▓▓▓ ┃
┃▓▓ ▓▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓░░▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓┃ ┃ ▓▓ ▓▓ ▓▓ ┃
┃ ▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓ ░ ▓▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ░▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓▓▓▓▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓┃
┃ ▓▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ░░░░ ▓▓▓┃
┃ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ░░░░ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ┃
┃ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓░ ┃
┃ ▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓░ ┃
┃▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ░ ┃
┃▓▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓▓▓▓▓▓▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃▓▓ ▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓┃
┃▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓┃
┃ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓┃
┃▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓ ▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ┃
┃ ▓▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓ ┃
┃ ▓▓▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ░░░░░ ▓▓┃
┃ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓▓┃ ┃ ░░░░ ▓▓▓▓┃
┃ ▓▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓ ░░░ ░▓▓▓▓┃
┃▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓┃ ┃ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓┃ ┃ ▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓▓ ░░ ┃
┃ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓ ░░ ▓▓┃
┃ ▓▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓┃
┃▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓┃
┃ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓┃
┃ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓┃
┃▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓ ▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓ ┃
┃▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓░░▓▓ ┃
┃▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓ ▓┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓░░▓▓ ┃
┃▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓ ▓▓░░░░ ┃
┃▓ ▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓ ░░░░░ ┃
┃ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓ ░░▓▓▓▓▓▓▓┃
┃▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓┃ ┃ ▓ ▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓▓▓▓▓┃ ┃▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓┃ ┃▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓ ▓▓ ▓▓▓▓┃
┃ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓ ▓▓▓▓┃
┃▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ┃ ┃ ▓▓ ▓▓ ┃
┃▓▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓▓ ▓▓ ┃ ┃▓▓▓▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ┃
┃▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓▓┃ ┃▓▓▓▓▓▓░░░▓▓ ▓▓ ▓▓▓▓ ░▓▓▓▓▓▓┃
┃▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓░░░░▓ ▓▓ ▓▓▓ ▓▓▓▓▓▓┃
┃ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓░░░░▓▓▓▓▓ ▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓▓ ▓ ┃ ┃ ▓▓▓▓░░░░▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ┃ ┃ ░░░ ▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓┃ ┃ ░░░ ▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓▓ ▓ ▓▓▓▓ ▓▓ ▓ ▓▓▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓▓▓▓▓▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓▓░▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓▓▓▓▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓▓▓▓┃ ┃▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓┃
┃▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░ ▓▓▓▓┃
┃ ▓ ▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓▓▓▓▓ ▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓▓┃ ┃▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓▓┃
┃ ▓▓▓▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓▓┃ ┃ ▓▓▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓┃
┃ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓▓┃
┃▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓┃
┃ ▓▓ ▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓┃
┃▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓ ▓▓▓┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓┃
┃▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓ ░ ▓▓ ┃
┃▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃ ░ ▓▓▓▓░ ▓▓▓ ░░ ░░ ┃
┃▓▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃▓▓ ▓▓ ▓▓▓ ▓▓ ░░ ┃
┃▓ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓▓ ┃ ┃▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓ ┃
┃▓ ▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓▓ ┃ ┃ ▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃▓ ▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓▓▓▓ ┃ ┃ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓▓▓ ▓▓▓▓▓ ▓ ▓▓▓▓▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓▓ ▓▓▓▓ ▓▓▓▓ ▓ ▓ ▓▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓┃
┃ ▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓┃
┃ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓┃
┃▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓▓▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓┃
┃ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓┃
┃ ▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓▓▓ ▓▓▓┃
┃▓▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ┃ ┃▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓▓ ▓▓▓▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓ ┃
┃▓ ▓ ▓▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ┃ ┃▓▓ ▓▓ ▓▓▓▓▓▓▓ ▓▓ ┃
┃▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓┃ ┃▓▓ ▓▓ ▓▓ ┃
┃▓▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓▓▓▓ ▓▓▓▓▓┃ ┃▓▓▓▓ ▓▓ ▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓▓▓▓▓▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓▓▓ ▓▓ ▓ ▓ ▓▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃▓▓ ▓▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓ ▓▓┃ ┃ ▓▓▓▓▓▓▓▓░▓▓▓▓▓▓▓▓ ▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓▓▓▓░░ ▓▓▓▓ ▓▓▓ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓░░░ ▓▓▓▓ ▓▓ ┃
┃ ▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓░░▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓▓▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ▓▓ ┃
┃ ▓▓▓ ▓ ▓▓ ▓▓▓▓ ▓ ▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓ ▓▓▓ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓ ▓▓ ┃
┃▓▓▓▓▓ ▓ ▓▓ ▓▓ ▓▓ ▓ ▓ ▓ ▓┃ ┃▓▓▓▓▓ ▓▓▓ ▓▓░ ░░ ┃
┃▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃▓▓▓ ░ ░░ ┃
┃▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ┃ ┃▓▓▓ ▓▓▓ ░░ ┃
┃▓ ▓▓▓▓▓▓▓ ▓▓▓ ▓▓▓ ▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ░░ ┃
┃ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓ ┃
┃ ▓ ▓ ▓▓ ▓ ▓ ▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓ ▓▓▓▓▓ ▓▓ ▓┃ ┃ ▓▓ ▓▓▓ ▓▓▓ ┃
┃▓ ▓▓ ▓ ▓ ▓ ▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓ ┃ ┃ ▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓▓ ▓ ▓▓ ▓▓ ▓▓▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓▓ ▓▓▓▓▓▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓▓▓▓ ▓▓ ▓▓▓ ▓▓ ▓▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓▓▓▓ ▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓▓ ▓ ▓▓▓ ┃ ┃▓▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓▓▓▓▓▓ ▓ ▓▓ ▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ┃
┃▓▓▓▓ ▓▓▓▓▓ ▓▓▓▓ ▓ ▓▓▓▓▓▓▓┃ ┃▓▓▓ ▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓┃
┃ ▓ ▓ ▓ ▓▓ ▓▓▓ ▓ ▓▓ ▓ ▓▓▓ ▓▓▓┃ ┃ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓┃
┃▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓▓▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓ ▓▓ ▓▓▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓ ▓▓ ▓▓▓ ▓ ┃ ┃ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃ ▓▓▓ ▓▓▓▓ ▓▓ ▓ ▓ ▓▓▓▓ ▓ ▓┃ ┃ ▓▓▓▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓ ┃
┃ ▓▓▓ ▓ ▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓┃ ┃ ▓▓▓▓▓ ▓▓▓▓▓ ▓▓ ┃
┃ ▓ ▓▓ ▓ ▓ ▓▓▓ ▓ ▓▓ ▓ ▓┃ ┃ ▓▓▓▓ ▓▓ ▓ ▓▓▓▓▓ ┃
┃ ▓ ▓▓▓▓▓▓ ▓▓ ▓ ▓▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓ ▓ ▓ ▓ ▓▓▓ ▓▓ ▓▓▓ ▓▓ ┃ ┃ ▓▓▓▓ ▓▓ ▓▓▓▓▓▓ ┃
┃ ▓▓ ▓ ▓ ▓ ▓▓▓▓ ▓▓ ▓▓ ▓ ┃ ┃ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃▓ ▓▓ ▓▓ ▓▓ ▓▓▓▓ ▓▓▓ ▓▓ ▓ ▓ ┃ ┃ ▓▓ ▓▓ ▓▓▓▓▓▓▓▓▓▓▓ ▓▓▓ ┃
┃ ▓ ▓▓▓ ▓▓ ▓▓ ▓▓ ▓ ▓▓ ▓ ▓ ┃ ┃ ▓ ▓▓▓▓▓ ▓▓▓▓▓▓▓▓▓▓ ▓▓ ┃
┃▓▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓▓ ▓ ▓┃ ┃▓▓ ▓▓▓▓▓ ▓▓ ▓▓▓ ┃
┃▓▓ ▓ ▓▓▓▓ ▓ ▓ ▓▓▓ ▓▓▓ ▓ ▓┃ ┃▓▓ ▓▓▓▓ ▓▓ ▓▓▓ ┃
┃▓ ▓ ▓▓▓ ▓ ▓ ▓▓▓ ▓ ▓ ▓ ▓┃ ┃ ▓▓▓ ▓▓▓ ▓▓▓ ┃
┃ ▓ ▓ ▓▓ ▓▓▓ ▓▓ ▓ ▓ ▓ ▓▓ ▓ ┃ ┃ ▓▓▓ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
input: output:
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ▓▓ ▓ ▓ ▓ ▓ ▓▓▓▓▓ ▓▓▓▓▓ ▓┃ ┃ ▓▓ ▓▓▓ ▓▓ ┃
┃▓ ▓▓ ▓▓ ▓ ▓ ▓▓ ▓ ▓ ▓ ┃ ┃ ▓▓▓ ▓▓▓▓ ▓▓ ┃