CAPE nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 10 9 9 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 7 6 6 6 5 4 4 5 5 6 6 6 6 6 6 6 7 7 7 7 7 6 7 7 7 7 6 5 3 2 2 3 4 4 4 5 6 6 5 5 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 8 8 9 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 8 8 9 8 7 7 7 7 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 7 7 5 5 5 5 6 6 7 7 6 6 7 7 6 6 5 4 4 5 5 5 4 5 6 6 7 6 6 6 7 7 6 5 4 4 5 5 5 6 6 6 6 7 8 8 8 7 7 6 7 6 6 6 7 8 8 6 5 4 5 5 4 6 7 8 8 7 6 5 4 4 2 2 4 7 7 7 6 5 6 7 8 9 9 10 9 8 8 8 6 5 6 6 6 7 10 9 8 9 8 8 8 10 9 8 9 9 8 6 4 2 3 4 7 10 11 9 7 6 7 6 7 8 7 8 8 9 8 6 4 3 3 7 9 9 11 11 10 8 7 7 8 9 9 9 9 9 7 6 6 7 8 8 8 7 6 7 9 9 10 10 10 10 10 9 8 6 5 6 7 9 10 10 10 9 8 8 9 9 9 9 10 10 10 9 8 7 8 9 10 9 10 10 9 8 8 8 7 8 7 7 6 7 7 7 7 7 8 8 7 7 8 8 8 6 6 6 6 6 7 9 10 10 9 8 8 6 6 6 6 6 8 8 8 7 8 8 7 7 7 7 8 8 8 7 5 4 5 6 7 8 7 8 8 8 6 5 4 2 0 0 1 2 3 4 4 4 3 3 4 5 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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6 6 6 6 6 6 6 5 4 3 4 6 6 6 6 6 7 7 7 8 8 8 7 7 6 6 5 5 6 8 8 7 6 5 5 5 4 4 6 7 8 8 7 6 5 4 3 2 3 7 7 7 7 7 7 8 9 9 8 8 7 7 7 7 6 6 6 6 7 8 9 9 9 9 8 8 8 8 8 8 9 10 9 7 4 3 3 3 5 8 10 9 8 7 8 8 8 8 6 6 7 8 8 7 5 4 4 8 9 9 10 10 9 8 7 7 8 9 8 7 7 7 7 6 7 7 8 9 7 5 4 4 7 8 9 9 9 10 10 9 8 7 6 6 7 10 10 10 9 8 8 8 9 9 9 9 10 10 10 9 8 7 7 8 9 10 10 10 9 8 9 10 9 9 7 6 6 6 7 7 6 5 7 7 7 7 9 10 9 7 7 6 6 6 8 9 9 9 8 7 7 7 8 8 8 8 9 8 7 7 8 8 8 7 7 7 8 9 8 6 4 4 5 7 7 6 7 8 8 7 6 5 3 1 0 0 1 2 3 3 3 3 3 1 2 4 3 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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7 7 8 8 9 9 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 10 9 8 7 6 5 5 6 7 8 7 7 6 6 6 6 6 6 5 4 4 5 5 5 5 6 6 6 5 6 6 6 5 4 4 4 6 6 6 6 6 6 6 6 6 7 7 8 8 7 6 5 5 5 6 8 8 8 6 6 5 5 4 4 6 8 9 9 8 6 4 4 4 4 6 6 7 8 8 8 8 8 8 8 7 6 6 7 7 6 5 5 6 6 7 7 8 9 9 8 7 7 7 8 6 7 9 10 8 5 4 3 4 6 8 9 9 9 9 9 9 8 7 5 3 6 7 8 8 6 6 7 10 10 10 10 10 10 8 8 8 9 8 6 4 4 6 7 7 8 8 9 9 7 4 3 3 5 7 8 8 9 10 9 8 8 8 7 7 8 10 10 10 7 6 6 7 8 10 10 10 10 10 10 10 8 7 6 6 7 9 10 9 9 8 8 9 9 9 7 7 6 6 6 6 6 5 6 6 6 7 10 10 10 9 8 6 6 7 9 9 9 8 8 8 8 9 9 10 9 9 9 8 7 7 8 9 8 7 7 7 9 10 8 4 4 5 5 6 5 6 6 8 8 7 6 5 2 0 0 0 0 2 3 4 3 4 2 1 1 2 1 1 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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nan nan nan nan 9 9 10 10 9 9 9 9 9 9 8 8 8 9 9 9 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 6 6 7 8 8 8 8 7 5 5 5 6 6 6 7 7 8 8 8 8 8 7 7 7 6 6 6 5 5 4 5 6 7 6 6 5 6 6 6 6 7 7 7 7 7 8 8 8 9 10 10 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 13 13 12 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 7 6 6 6 7 8 7 7 7 6 6 6 6 7 6 5 5 6 6 6 6 6 6 5 6 6 7 7 6 5 5 5 6 6 6 6 6 5 5 5 5 6 7 7 8 7 6 5 5 5 6 8 8 8 7 6 5 4 4 6 7 9 11 10 8 5 4 5 4 5 6 5 6 7 7 7 7 7 7 6 5 4 4 5 6 6 5 5 5 6 6 8 10 9 8 7 7 6 6 5 5 8 10 9 6 5 5 6 8 8 8 8 8 8 9 9 8 8 6 4 5 7 8 9 8 7 8 10 11 12 12 11 10 9 9 9 10 8 5 3 4 6 7 8 9 9 9 9 7 5 4 4 4 6 7 8 9 10 9 9 9 9 8 8 8 9 10 9 7 5 4 6 8 10 10 10 10 11 11 10 9 8 6 7 8 9 9 9 8 8 8 8 8 8 7 7 7 8 7 7 7 6 6 5 5 7 9 10 10 9 7 6 7 8 9 10 9 9 9 9 9 9 9 9 9 9 9 8 6 6 7 8 8 7 7 9 10 8 6 4 4 5 5 5 5 6 7 7 7 6 6 4 1 0 0 0 0 2 3 3 2 2 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 5 4 5 6 6 6 5 4 5 6 7 7 7 7 8 8 9 9 9 8 7 6 6 6 6 6 5 4 4 5 5 6 7 7 6 5 5 5 5 6 7 7 7 6 7 8 9 9 10 10 10 11 11 12 12 11 10 10 11 12 13 14 14 13 14 14 15 15 13 11 10 10 10 10 11 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 7 7 7 7 8 8 7 6 6 6 7 6 6 6 6 6 6 6 7 6 5 6 7 8 7 6 5 5 6 6 6 6 6 6 5 4 4 5 6 6 7 8 7 6 5 5 5 6 7 8 8 7 6 5 4 5 7 8 11 11 9 6 5 4 4 5 5 5 6 7 7 7 6 6 6 6 6 5 5 5 6 7 6 6 5 5 6 7 9 10 9 8 8 7 6 5 4 4 8 9 7 6 6 7 9 7 6 6 7 8 10 9 9 10 8 6 6 8 9 9 9 8 9 10 12 12 11 10 9 9 9 10 10 8 6 4 4 6 8 8 9 9 10 9 8 6 5 5 5 6 7 8 10 10 9 9 9 9 9 8 8 8 8 8 7 5 4 6 8 10 10 10 10 11 11 10 9 8 7 8 9 9 9 9 8 8 7 8 8 7 6 7 8 9 9 8 7 6 5 4 5 7 9 10 9 8 7 7 8 9 9 10 10 10 9 9 9 9 9 8 8 9 10 9 6 6 7 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6 5 4 4 4 5 6 8 8 7 6 6 6 6 7 8 8 7 6 5 4 5 7 9 10 10 9 6 6 5 4 6 5 7 10 10 9 7 6 5 5 7 8 6 6 5 5 6 6 6 5 4 4 6 8 10 11 10 9 7 6 7 8 8 9 7 6 7 6 7 8 7 6 7 9 10 9 8 8 9 10 10 10 9 8 9 10 11 10 11 11 10 6 4 5 7 9 10 9 8 8 8 9 9 9 7 7 7 9 9 8 8 8 8 8 8 9 10 10 9 7 6 6 7 8 9 9 8 8 8 7 7 7 9 9 8 7 7 9 10 10 8 8 9 9 10 10 10 9 8 7 7 7 8 9 9 9 9 10 10 9 7 6 6 6 7 7 9 8 7 7 10 10 10 10 9 8 9 10 9 8 8 8 10 9 8 9 11 9 7 6 7 7 7 8 7 5 4 3 4 5 6 6 7 8 7 6 6 7 7 6 6 2 0 0 0 0 0 2 3 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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nan 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 7 8 8 7 6 5 5 5 5 6 7 6 5 4 4 4 4 5 5 5 5 5 5 6 6 8 9 8 9 10 10 10 8 6 6 7 8 10 13 16 15 14 12 7 5 5 6 8 10 11 11 11 10 9 6 7 9 13 15 15 15 14 13 11 10 10 10 13 15 16 15 14 12 11 11 11 12 12 12 12 12 13 13 14 14 14 13 13 12 12 12 11 10 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 6 6 6 7 7 6 6 6 6 6 6 6 7 7 6 7 6 5 4 4 5 6 8 8 7 7 6 6 6 7 7 8 8 7 5 4 4 6 4 7 9 7 6 6 6 6 5 7 9 9 8 7 5 3 3 4 5 6 5 5 6 8 8 7 6 5 4 4 7 9 10 8 7 7 8 10 10 9 7 6 6 6 9 10 8 7 6 7 9 10 8 9 9 9 10 10 9 10 11 9 8 7 9 8 7 7 6 6 7 8 9 10 10 9 9 9 9 7 5 2 2 4 7 8 9 9 8 6 6 6 7 9 8 7 5 4 6 8 9 10 9 8 8 7 6 7 8 8 8 6 5 6 7 9 9 9 9 8 8 8 8 8 7 7 8 9 10 11 10 9 8 7 6 6 7 8 8 9 9 9 9 8 9 10 11 10 9 8 8 8 10 11 10 8 8 8 9 9 8 8 7 6 5 5 7 8 7 7 5 3 2 3 4 6 8 8 8 9 8 8 8 7 7 5 3 1 0 0 0 0 0 1 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 8 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 6 7 7 7 7 7 7 6 5 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 9 10 10 9 9 9 10 9 7 4 4 6 7 9 12 13 13 12 8 5 4 4 5 8 10 10 10 9 8 6 6 8 11 14 14 14 13 11 10 9 9 8 11 14 17 17 15 13 12 11 11 11 12 12 12 12 12 13 14 15 15 14 14 13 13 12 11 10 10 9 9 9 9 8 8 8 9 10 9 8 8 8 8 7 7 7 7 8 8 8 7 6 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 6 4 4 5 6 8 8 7 6 6 6 6 7 8 8 8 7 5 3 4 4 5 8 9 7 6 6 7 7 7 8 9 7 5 4 3 3 4 6 6 6 5 6 7 8 8 7 6 5 4 5 7 9 9 8 7 8 10 10 9 8 6 6 7 7 10 8 7 6 3 6 8 9 10 10 10 10 9 7 8 9 10 8 9 9 8 8 8 8 8 8 9 10 10 9 8 9 9 9 7 4 2 1 3 6 9 10 8 7 5 4 5 6 8 8 7 6 5 5 7 9 10 10 8 7 6 6 7 8 8 8 6 5 5 6 8 9 10 9 8 7 7 7 7 6 6 6 7 10 10 10 8 8 7 6 6 7 8 8 8 8 9 8 8 10 10 9 9 9 8 9 10 10 10 9 8 8 8 8 9 9 9 7 4 2 4 5 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5 4 5 6 8 8 8 6 4 3 4 5 7 8 7 6 7 6 7 8 7 6 6 5 4 5 6 8 9 8 7 4 4 4 5 5 5 5 6 6 6 6 8 8 7 7 8 9 10 9 8 7 7 6 7 10 9 6 4 4 9 10 10 8 9 8 9 10 9 9 8 8 9 11 11 10 10 10 10 10 10 10 8 6 5 7 8 9 8 6 4 3 3 6 9 10 8 6 5 5 6 8 8 8 8 6 5 4 5 7 9 9 8 6 7 8 9 9 9 8 7 6 6 6 7 8 8 8 8 7 8 7 7 6 4 4 6 9 11 9 8 6 6 7 7 8 9 9 8 8 9 9 9 8 8 8 8 8 7 7 7 8 6 6 7 7 6 4 6 7 7 6 4 4 5 4 5 6 6 6 5 4 4 5 6 6 5 5 6 7 8 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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9 9 8 8 10 10 10 10 9 9 10 11 12 13 14 15 16 16 14 12 12 11 11 12 12 12 12 12 10 10 10 11 11 11 11 11 10 10 9 8 8 8 8 8 9 9 8 7 8 8 8 7 7 7 7 7 7 7 6 7 8 8 7 6 5 4 5 7 8 8 7 5 4 4 5 7 8 8 8 6 4 3 4 5 8 8 6 6 6 6 6 6 5 6 6 6 6 7 8 9 9 6 5 4 3 3 4 5 5 5 6 7 8 8 7 6 6 7 9 9 9 8 8 8 7 8 8 7 6 6 7 9 7 8 9 10 7 7 9 11 10 9 9 9 11 11 10 10 10 10 10 10 10 8 6 5 5 8 9 9 7 6 6 6 8 9 9 8 6 6 6 7 9 8 8 7 6 4 4 5 6 9 10 8 7 7 8 9 10 10 8 8 7 7 7 7 7 7 8 8 8 8 8 7 6 5 5 6 9 11 10 8 7 7 6 7 8 10 10 9 9 9 9 9 8 8 6 6 7 7 6 6 7 7 7 7 7 6 4 5 6 7 7 7 6 5 4 5 6 7 7 6 6 5 5 6 5 5 6 6 8 8 9 8 8 6 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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7 7 7 7 6 5 4 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 7 7 7 8 9 10 9 8 8 7 7 7 7 7 9 7 5 5 5 5 5 6 7 8 9 11 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 6 5 5 5 6 6 6 7 7 8 7 6 8 9 9 9 9 9 9 10 11 12 13 14 15 15 14 13 12 12 13 13 13 14 14 13 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 11 10 9 8 8 8 8 8 8 7 7 7 8 7 7 7 8 8 8 7 6 6 5 6 8 9 8 6 4 3 4 5 7 8 8 8 6 4 4 5 6 8 7 6 7 6 7 7 7 7 8 8 7 8 9 10 9 7 5 4 2 3 4 6 7 6 6 7 8 8 8 6 6 6 8 9 9 8 8 8 8 8 7 6 6 8 8 9 7 7 9 10 9 8 10 11 10 10 10 9 10 10 8 8 9 9 9 9 9 8 6 5 5 8 9 9 8 8 8 8 8 10 9 8 6 6 7 8 9 8 8 7 5 4 4 5 7 8 10 8 7 7 8 10 10 10 9 8 8 8 7 7 7 7 8 8 8 9 8 7 6 6 6 7 9 11 11 9 8 7 6 7 8 9 10 10 9 9 10 8 7 6 5 4 6 6 6 7 7 8 8 8 7 6 4 4 5 6 6 5 5 5 5 6 7 7 8 8 8 6 6 6 6 6 6 7 9 9 9 9 9 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 9 9 9 9 9 9 9 8 8 7 8 9 10 8 8 8 8 9 9 8 8 8 8 8 8 7 7 6 6 8 7 7 8 7 7 7 6 5 5 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 5 6 6 7 6 6 6 6 8 9 9 8 6 7 8 7 7 8 8 10 8 6 5 5 5 4 5 8 8 8 9 8 6 5 5 5 5 5 6 6 5 5 6 6 5 5 5 6 6 6 7 8 7 5 5 5 5 5 6 6 6 6 6 6 6 7 8 7 7 9 9 10 11 11 12 12 13 13 13 12 12 11 12 13 14 15 15 14 13 12 12 12 12 12 12 11 11 11 11 10 9 9 10 10 11 11 10 9 8 8 8 9 9 8 8 9 9 9 8 7 7 8 8 8 6 5 6 6 7 9 8 6 5 4 3 4 6 8 8 8 8 5 4 4 5 7 7 6 6 5 6 7 8 8 8 8 8 9 10 11 10 8 6 4 3 4 5 7 9 9 9 8 8 9 10 9 7 7 7 8 9 9 8 8 8 8 8 8 7 8 8 9 9 8 11 12 11 9 9 10 9 8 10 9 9 11 8 8 9 9 9 9 10 9 7 5 6 7 9 9 8 8 9 8 8 9 9 8 7 7 7 8 9 9 8 6 5 4 5 6 7 8 9 8 7 7 9 11 11 10 9 8 8 8 8 7 7 7 8 8 9 9 8 7 6 6 6 7 9 10 10 9 8 7 7 7 8 9 9 8 9 10 10 8 7 6 6 4 6 6 6 7 8 8 8 7 7 5 3 2 4 5 5 5 4 5 5 6 7 7 8 8 9 7 6 6 6 6 7 8 8 9 9 8 7 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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nan nan 10 10 10 10 10 10 10 10 10 9 8 9 10 11 9 9 9 9 9 9 10 9 9 9 10 10 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 7 6 6 5 5 4 4 4 4 4 5 5 5 8 9 10 10 12 11 8 5 4 4 4 4 5 5 5 5 5 4 3 3 3 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 2 2 2 2 2 2 2 2 3 3 2 1 0 2 3 4 4 4 4 4 3 2 2 1 0 0 0 2 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 6 9 9 6 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 5 5 5 4 4 4 4 3 5 4 5 5 5 4 4 4 5 5 4 3 3 4 4 4 4 4 4 4 6 7 8 9 8 6 5 5 4 5 5 5 5 5 4 4 4 4 3 3 3 2 2 2 3 2 2 2 2 2 2 2 3 4 3 4 4 4 4 4 4 5 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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