Consider 9 natural numbers arranged in a 3x3 matrix: n11 n12 n13 n21 n22 n23 n31 n32 n33 Define numbers "in contact with a given number to be those that appear closest to it on the same row, column or diagonally across: Contarts of number n11: n12, n22 and n21 Contacts of number n12: n11, n21, n22, n23, n13 Contacts of number n13: n12, n22, n23 Contacts of number n21: n11, n12, n22, n32, n31 Contacts of number n22: n11, n12, n13, n23, n33, n32, n31, n21 Contacts of number n23: n13, n12, n22, n32, n33 6 BEtacts of number n31: n21
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