r19 c5 n5 r19 c8 n5 r19 c21 n5 r19 c3 n23 r19 c5 n23 r19 c18 n23 r19 c21 n23 naked tuple of size 2 at column positions 7, 19 in row 19: r19c5 r19c8 r19c21 <> 5 r19c3 r19c5 r19c18 r19c21 <> 23 r3 c7 n5 r5 c7 n5 r8 c7 n5 r18 c7 n5 r21 c7 n5 r23 c7 n5 r5 c7 n14 r8 c7 n14 r18 c7 n14 r21 c7 n14 r23 c7 n14 naked tuple of size 2 at row positions 7, 19 in column 7: r3c7 r5c7 r8c7 r18c7 r21c7 r23c7 <> 5 r5c7 r8c7 r18c7 r21c7 r23c7 <> 14 r13 c12 n4 r13 c12 n25 r16 c12 n25 r25 c12 n25 naked tuple of size 2 at row positions 12, 14 in column 12: r13c12 <> 4 r13c12 r16c12 r25c12 <> 25 r16 c12 n23 naked tuple of size 2 at row positions 13, 14 in column 12: r16c12 <> 23 r15 c15 n4 r11 c11 n23 r11 c15 n23 r15 c11 n23 r15 c15 n23 naked tuple of size 2 at block positions 7, 12 in block 13: r15c15 <> 4 r11c11 r11c15 r15c11 r15c15 <> 23 r11 c11 n25 r11 c15 n25 r15 c11 n25 r15 c15 n25 naked tuple of size 2 at block positions 7, 17 in block 13: r11c11 r11c15 r15c11 r15c15 <> 25 r16 c16 n2 r17 c16 n2 r16 c17 n23 r17 c18 n23 naked tuple of size 2 at block positions 19, 21 in block 19: r16c16 r17c16 <> 2 r16c17 r17c18 <> 23 r11 c20 n7 r11 c20 n14 r11 c20 n18 r11 c20 n24 r16 c20 n7 r16 c20 n17 r16 c20 n22 hidden tuple of size 2 with numbers 13, 20 in column 20: r11c20 <> 7,14,18,24 r16c20 <> 7,17,22 r1 c25 n1 r1 c25 n5 r1 c25 n15 r1 c25 n16 r1 c25 n23 r17 c25 n12 r17 c25 n15 r17 c25 n19 r17 c25 n23 hidden tuple of size 2 with numbers 17, 21 in column 25: r1c25 <> 1,5,15,16,23 r17c25 <> 12,15,19,23 r6 c10 n8 r6 c10 n25 r9 c10 n8 hidden tuple of size 2 with numbers 17, 23 in block 7: r6c10 <> 8,25 r9c10 <> 8 r15 c15 n10 r15 c15 n15 r15 c15 n18 r15 c15 n21 hidden tuple of size 2 with numbers 4, 22 in block 13: r15c15 <> 10,15,18,21 r11 c11 n9 r11 c11 n11 r11 c11 n14 r11 c11 n20 r11 c15 n9 r11 c15 n11 hidden tuple of size 2 with numbers 7, 18 in block 13: r11c11 <> 9,11,14,20 r11c15 <> 9,11 r11 c15 n7 hidden tuple of size 2 with numbers 18, 22 in block 13: r11c15 <> 7 r11 c17 n6 r11 c17 n7 r11 c17 n23 r11 c17 n24 hidden tuple of size 2 with numbers 13, 20 in block 14: r11c17 <> 6,7,23,24 r21 c23 n4 r21 c23 n6 r21 c23 n11 r21 c23 n14 r22 c23 n1 r22 c23 n6 r22 c23 n12 r22 c23 n15 hidden tuple of size 2 with numbers 2, 18 in block 25: r21c23 <> 4,6,11,14 r22c23 <> 1,6,12,15 r1 c2 n1 r1 c3 n1 r1 c6 n1 r1 c17 n1 r1 c23 n1 r1 c24 n1 r1 c14 n17 r1 c23 n17 naked tuple of size 2 at column positions 20, 25 in row 1: r1c2 r1c3 r1c6 r1c17 r1c23 r1c24 <> 1 r1c14 r1c23 <> 17 r11 c16 n7 r11 c23 n7 r11 c24 n7 r11 c6 n18 r11 c10 n18 naked tuple of size 2 at column positions 11, 15 in row 11: r11c16 r11c23 r11c24 <> 7 r11c6 r11c10 <> 18 r11 c2 n20 r11 c5 n20 r11 c20 n20 naked tuple of size 2 at column positions 11, 17 in row 11: r11c2 r11c5 r11c20 <> 20 r3 c10 n23 naked tuple of size 2 at row positions 6, 9 in column 10: r3c10 <> 23 r3 c15 n13 r5 c15 n13 r8 c15 n13 naked tuple of size 2 at row positions 6, 11 in column 15: r3c15 r5c15 r8c15 <> 13 r21 c15 n22 naked tuple of size 2 at row positions 6, 15 in column 15: r21c15 <> 22 r2 c20 n1 r5 c20 n1 r24 c20 n1 r25 c20 n1 r16 c20 n13 naked tuple of size 2 at row positions 1, 11 in column 20: r2c20 r5c20 r24c20 r25c20 <> 1 r16c20 <> 13 r2 c20 n7 r10 c20 n7 r24 c20 n7 r25 c20 n7 r15 c20 n18 r24 c20 n18 naked tuple of size 2 at row positions 5, 13 in column 20: r2c20 r10c20 r24c20 r25c20 <> 7 r15c20 r24c20 <> 18 r1 c23 n2 r5 c23 n2 r16 c23 n2 r18 c23 n2 naked tuple of size 2 at row positions 21, 22 in column 23: r1c23 r5c23 r16c23 r18c23 <> 2 r2 c18 n1 r3 c18 n1 r4 c17 n1 r4 c18 n1 r5 c18 n1 r2 c18 n22 r3 c16 n22 r3 c18 n22 naked tuple of size 2 at block positions 5, 10 in block 4: r2c18 r3c18 r4c17 r4c18 r5c18 <> 1 r2c18 r3c16 r3c18 <> 22 r16 c17 n20 r18 c17 n20 naked tuple of size 2 at block positions 5, 19 in block 19: r16c17 r18c17 <> 20 r4 c14 n10 r4 c14 n12 r4 c14 n15 r4 c14 n16 r14 c14 n11 r14 c14 n20 hidden tuple of size 2 with numbers 9, 17 in column 14: r4c14 <> 10,12,15,16 r14c14 <> 11,20 r10 c15 n5 r10 c15 n12 r10 c15 n15 hidden tuple of size 2 with numbers 7, 13 in column 15: r10c15 <> 5,12,15 r24 c20 n25 hidden tuple of size 2 with numbers 1, 17 in column 20: r24c20 <> 25 r1 c17 n6 r1 c17 n8 r1 c17 n23 hidden tuple of size 2 with numbers 1, 4 in block 4: r1c17 <> 6,8,23 r12 c14 n10 r12 c14 n11 hidden tuple of size 2 with numbers 4, 20 in block 13: r12c14 <> 10,11 r1 c1 n4 r1 c2 n4 naked tuple of size 2 at column positions 17, 20 in row 1: r1c1 r1c2 <> 4 r12 c22 n4 r12 c1 n20 naked tuple of size 2 at column positions 12, 14 in row 12: r12c22 <> 4 r12c1 <> 20 r14 c13 n9 r14 c10 n25 naked tuple of size 2 at column positions 12, 14 in row 14: r14c13 <> 9 r14c10 <> 25 r16 c14 n20 naked tuple of size 2 at row positions 4, 12 in column 14: r16c14 <> 20 r8 c17 n4 r10 c17 n4 naked tuple of size 2 at row positions 1, 11 in column 17: r8c17 r10c17 <> 4 r10 c20 n22 r25 c20 n22 naked tuple of size 2 at row positions 1, 2 in column 20: r10c20 r25c20 <> 22 r10 c11 n7 r8 c13 n13 naked tuple of size 2 at block positions 5, 25 in block 8: r10c11 <> 7 r8c13 <> 13 r1 c12 n5 r1 c12 n6 hidden tuple of size 2 with numbers 1, 8 in row 1: r1c12 <> 5,6 r14 c1 n5 hidden tuple of size 2 with numbers 9, 20 in row 14: r14c1 <> 5 r3 c13 n5 r3 c13 n9 r3 c13 n12 r3 c13 n15 r18 c13 n5 r18 c13 n9 r18 c13 n12 hidden tuple of size 2 with numbers 2, 13 in column 13: r3c13 <> 5,9,12,15 r18c13 <> 5,9,12 r3 c13 n2 r23 c13 n5 r23 c13 n9 r23 c13 n11 r23 c13 n15 r23 c13 n17 r23 c13 n21 hidden tuple of size 2 with numbers 3, 13 in column 13: r3c13 <> 2 r23c13 <> 5,9,11,15,17,21 r13 c14 n11 r13 c14 n15 hidden tuple of size 2 with numbers 9, 10 in column 14: r13c14 <> 11,15 r16 c14 n12 r16 c14 n16 hidden tuple of size 2 with numbers 9, 11 in column 14: r16c14 <> 12,16 r1 c14 n15 hidden tuple of size 2 with numbers 9, 16 in column 14: r1c14 <> 15 r1 c1 n16 r1 c2 n16 r1 c9 n16 r1 c24 n16 naked tuple of size 2 at column positions 12, 14 in row 1: r1c1 r1c2 r1c9 r1c24 <> 16 r13 c18 n10 r13 c24 n10 r13 c3 n23 r13 c18 n23 r13 c19 n23 naked tuple of size 2 at column positions 12, 14 in row 13: r13c18 r13c24 <> 10 r13c3 r13c18 r13c19 <> 23 r16 c3 n11 r16 c5 n11 r16 c11 n11 r16 c15 n11 r16 c5 n20 r16 c11 n20 naked tuple of size 2 at column positions 14, 20 in row 16: r16c3 r16c5 r16c11 r16c15 <> 11 r16c5 r16c11 <> 20 r4 c12 n8 r10 c12 n8 naked tuple of size 2 at row positions 1, 12 in column 12: r4c12 r10c12 <> 8 r5 c11 n8 r2 c15 n16 r3 c15 n16 naked tuple of size 2 at block positions 2, 4 in block 3: r5c11 <> 8 r2c15 r3c15 <> 16 r4 c13 n17 naked tuple of size 2 at block positions 2, 19 in block 3: r4c13 <> 17 r15 c11 n10 naked tuple of size 2 at block positions 1, 14 in block 13: r15c11 <> 10 r16 c11 n2 r17 c11 n2 r18 c11 n2 r20 c11 n2 r20 c11 n11 r20 c15 n11 naked tuple of size 2 at block positions 4, 13 in block 18: r16c11 r17c11 r18c11 r20c11 <> 2 r20c11 r20c15 <> 11 r3 c8 n13 r3 c10 n13 block 3 candidates for number 13 all in row 3 (pointing): r3 c8c10 <> 13 r4 c21 n17 r4 c23 n17 block 3 candidates for number 17 all in row 4 (pointing): r4 c21c23 <> 17 r2 c8 n22 block 4 candidates for number 22 all in row 2 (pointing): r2 c8 <> 22 r9 c16 n22 r9 c18 n22 block 6 candidates for number 22 all in row 9 (pointing): r9 c16c18 <> 22 r10 c16 n25 r10 c20 n25 block 7 candidates for number 25 all in row 10 (pointing): r10 c16c20 <> 25 r10 c16 n7 r10 c17 n7 block 8 candidates for number 7 all in row 10 (pointing): r10 c16c17 <> 7 r6 c21 n13 r6 c25 n13 block 8 candidates for number 13 all in row 6 (pointing): r6 c21c25 <> 13 r8 c21 n1 r8 c22 n1 r8 c23 n1 r8 c24 n1 block 9 candidates for number 1 all in row 8 (pointing): r8 c21c22c23c24 <> 1 r15 c3 n23 r15 c5 n23 block 14 candidates for number 23 all in row 15 (pointing): r15 c3c5 <> 23 r15 c2 n24 r15 c3 n24 r15 c5 n24 r15 c21 n24 block 14 candidates for number 24 all in row 15 (pointing): r15 c2c3c5c21 <> 24 r12 c1 n24 block 15 candidates for number 24 all in row 12 (pointing): r12 c1 <> 24 r17 c10 n18 block 16 candidates for number 18 all in row 17 (pointing): r17 c10 <> 18 r18 c21 n14 r18 c22 n14 r18 c23 n14 r18 c24 n14 block 17 candidates for number 14 all in row 18 (pointing): r18 c21c22c23c24 <> 14 r18 c8 n2 r18 c9 n2 r18 c22 n2 r18 c24 n2 block 18 candidates for number 2 all in row 18 (pointing): r18 c8c9c22c24 <> 2 r20 c10 n2 r20 c24 n2 block 19 candidates for number 2 all in row 20 (pointing): r20 c10c24 <> 2 r17 c8 n2 r17 c10 n2 block 20 candidates for number 2 all in row 17 (pointing): r17 c8c10 <> 2 r17 c8 n21 r17 c10 n21 block 20 candidates for number 21 all in row 17 (pointing): r17 c8c10 <> 21 r23 c11 n9 r23 c15 n9 block 21 candidates for number 9 all in row 23 (pointing): r23 c11c15 <> 9 r23 c4 n3 r23 c5 n3 block 23 candidates for number 3 all in row 23 (pointing): r23 c4c5 <> 3 r18 c5 n20 r20 c5 n20 block 1 candidates for number 20 all in column 5 (pointing): r18r20 c5 <> 20 r6 c11 n19 r8 c11 n19 r9 c11 n19 r10 c11 n19 r21 c11 n19 r23 c11 n19 block 3 candidates for number 19 all in column 11 (pointing): r6r8r9r10r21r23 c11 <> 19 r13 c18 n21 r15 c18 n21 r21 c18 n21 r22 c18 n21 r23 c18 n21 r24 c18 n21 block 4 candidates for number 21 all in column 18 (pointing): r13r15r21r22r23r24 c18 <> 21 r21 c8 n20 block 7 candidates for number 20 all in column 8 (pointing): r21 c8 <> 20 r20 c1 n20 block 11 candidates for number 20 all in column 1 (pointing): r20 c1 <> 20 r21 c8 n4 r23 c8 n4 r24 c8 n4 block 12 candidates for number 4 all in column 8 (pointing): r21r23r24 c8 <> 4 r8 c13 n11 r24 c13 n11 block 13 candidates for number 11 all in column 13 (pointing): r8r24 c13 <> 11 r22 c13 n21 r24 c13 n21 block 13 candidates for number 21 all in column 13 (pointing): r22r24 c13 <> 21 r16 c23 n17 r18 c23 n17 block 15 candidates for number 17 all in column 23 (pointing): r16r18 c23 <> 17 r8 c22 n24 block 15 candidates for number 24 all in column 22 (pointing): r8 c22 <> 24 r21 c4 n18 r22 c4 n18 block 16 candidates for number 18 all in column 4 (pointing): r21r22 c4 <> 18 r15 c10 n18 block 17 candidates for number 18 all in column 10 (pointing): r15 c10 <> 18 r3 c19 n23 block 19 candidates for number 23 all in column 19 (pointing): r3 c19 <> 23 r16 c6 n5 r16 c9 n5 r16 c10 n5 r18 c8 n5 r18 c9 n5 r20 c10 n5 row 19 candidates for number 5 all in block 17 (claiming): r16c6 r16c9 r16c10 r18c8 r18c9 r20c10 <> 5 r21 c18 n18 r21 c19 n18 r22 c18 n18 row 24 candidates for number 18 all in block 24 (claiming): r21c18 r21c19 r22c18 <> 18 r7 c8 n14 r8 c8 n14 r8 c9 n14 r9 c8 n14 r10 c6 n14 r10 c9 n14 column 7 candidates for number 14 all in block 7 (claiming): r7c8 r8c8 r8c9 r9c8 r10c6 r10c9 <> 14 r21 c10 n2 r22 c9 n2 column 8 candidates for number 2 all in block 22 (claiming): r21c10 r22c9 <> 2 r23 c16 n17 r23 c19 n17 column 20 candidates for number 17 all in block 24 (claiming): r23c16 r23c19 <> 17 r25 c20 n24 naked tuple of size 2 at row positions 10, 15 in column 20: r25c20 <> 24 r6 c16 n14 r6 c16 n17 hidden tuple of size 2 with numbers 13, 25 in row 6: r6c16 <> 14,17 r12 c22 n5 r12 c22 n14 hidden tuple of size 2 with numbers 4, 24 in row 12: r12c22 <> 5,14 r17 c4 n8 r17 c4 n15 r17 c4 n22 hidden tuple of size 2 with numbers 18, 21 in row 17: r17c4 <> 8,15,22 r23 c4 n4 r23 c4 n6 r23 c4 n10 r23 c4 n15 hidden tuple of size 2 with numbers 3, 9 in row 23: r23c4 <> 4,6,10,15 r23 c11 n5 r23 c11 n6 r23 c11 n11 r23 c11 n15 hidden tuple of size 2 with numbers 3, 17 in row 23: r23c11 <> 5,6,11,15 r21 c10 n5 r21 c10 n6 r21 c10 n21 r21 c10 n22 hidden tuple of size 2 with numbers 18, 20 in column 10: r21c10 <> 5,6,21,22 r24 c18 n1 r24 c18 n5 r24 c18 n7 hidden tuple of size 2 with numbers 17, 18 in block 24: r24c18 <> 1,5,7 r24 c11 n17 r24 c13 n17 naked tuple of size 2 at column positions 18, 20 in row 24: r24c11 r24c13 <> 17 r6 c11 n17 r8 c11 n17 r9 c11 n17 naked tuple of size 2 at row positions 11, 23 in column 11: r6c11 r8c11 r9c11 <> 17 r6 c10 n23 hidden tuple of size 2 with numbers 13, 17 in row 6: r6c10 <> 23 r9 c10 n17 hidden tuple of size 2 with numbers 18, 23 in column 10: r9c10 <> 17 r8 c13 n5 r8 c13 n12 r8 c13 n14 r8 c13 n15 hidden tuple of size 2 with numbers 2, 17 in column 13: r8c13 <> 5,12,14,15 r7 c7 n5 hidden tuple of size 2 with numbers 14, 17 in block 7: r7c7 <> 5 r7 c21 n14 r7 c23 n14 block 7 candidates for number 14 all in row 7 (pointing): r7 c21c23 <> 14 r9 c24 n23 r9 c25 n23 block 7 candidates for number 23 all in row 9 (pointing): r9 c24c25 <> 23 r8 c19 n17 block 8 candidates for number 17 all in row 8 (pointing): r8 c19 <> 17 r10 c3 n19 r10 c5 n19 r10 c6 n19 r10 c9 n19 block 8 candidates for number 19 all in row 10 (pointing): r10 c3c5c6c9 <> 19 r15 c11 n14 block 8 candidates for number 14 all in column 11 (pointing): r15 c11 <> 14 r16 c16 n17 block 9 candidates for number 17 all in column 16 (pointing): r16 c16 <> 17 r16 c17 n7 r18 c17 n7 block 24 candidates for number 7 all in column 17 (pointing): r16r18 c17 <> 7 r5 c18 n18 r13 c18 n18 r15 c18 n18 block 24 candidates for number 18 all in column 18 (pointing): r5r13r15 c18 <> 18 r13 c6 n18 row 15 candidates for number 18 all in block 12 (claiming): r13c6 <> 18 r18 c21 n17 row 16 candidates for number 17 all in block 20 (claiming): r18c21 <> 17 r15 c2 n15 r15 c3 n15 r15 c5 n15 naked tuple of size 2 at column positions 11, 15 in row 15: r15c2 r15c3 r15c5 <> 15 r3 c11 n15 r5 c11 n15 r8 c11 n15 r10 c11 n15 r24 c11 n15 naked tuple of size 2 at row positions 11, 15 in column 11: r3c11 r5c11 r8c11 r10c11 r24c11 <> 15 r13 c13 n15 naked tuple of size 2 at block positions 1, 21 in block 13: r13c13 <> 15 r8 c21 n4 r8 c21 n9 r8 c21 n12 r8 c21 n14 r8 c21 n15 r8 c21 n24 hidden tuple of size 2 with numbers 13, 17 in row 8: r8c21 <> 4,9,12,14,15,24 r9 c16 n4 r9 c16 n10 r9 c16 n14 hidden tuple of size 2 with numbers 17, 23 in row 9: r9c16 <> 4,10,14 r15 c6 n1 r15 c6 n5 r15 c6 n19 r15 c6 n21 r15 c6 n25 hidden tuple of size 2 with numbers 15, 18 in row 15: r15c6 <> 1,5,19,21,25 r16 c21 n5 r16 c21 n12 r16 c21 n16 r16 c21 n23 hidden tuple of size 2 with numbers 11, 17 in row 16: r16c21 <> 5,12,16,23 r18 c19 n7 r18 c19 n8 hidden tuple of size 2 with numbers 2, 17 in row 18: r18c19 <> 7,8 r10 c16 n5 r10 c16 n10 r10 c16 n14 r10 c16 n22 hidden tuple of size 2 with numbers 2, 4 in column 16: r10c16 <> 5,10,14,22 r10 c20 n24 hidden tuple of size 2 with numbers 4, 14 in block 9: r10c20 <> 24 r10 c17 n10 r10 c17 n24 hidden tuple of size 2 with numbers 4, 22 in block 9: r10c17 <> 10,24 r10 c5 n4 r10 c21 n4 r10 c23 n4 naked tuple of size 2 at column positions 15, 16 in row 10: r10c5 r10c21 r10c23 <> 4 r10 c11 n14 r10 c21 n14 r10 c23 n14 naked tuple of size 2 at column positions 15, 20 in row 10: r10c11 r10c21 r10c23 <> 14 r16 c17 n22 r18 c17 n22 r22 c17 n22 r25 c17 n22 naked tuple of size 2 at row positions 1, 10 in column 17: r16c17 r18c17 r22c17 r25c17 <> 22 r4 c17 n6 naked tuple of size 2 at row positions 1, 16 in column 17: r4c17 <> 6 r4 c17 n8 naked tuple of size 2 at row positions 1, 18 in column 17: r4c17 <> 8 r15 c17 n23 naked tuple of size 2 at row positions 4, 10 in column 17: r15c17 <> 23 r15 c20 n14 naked tuple of size 2 at row positions 1, 10 in column 20: r15c20 <> 14 r2 c18 n23 r3 c18 n23 r4 c18 n23 naked tuple of size 2 at block positions 2, 17 in block 4: r2c18 r3c18 r4c18 <> 23 r15 c17 n24 naked tuple of size 2 at block positions 2, 25 in block 14: r15c17 <> 24 r12 c16 n10 r15 c16 n10 r15 c18 n10 naked tuple of size 2 at block positions 5, 22 in block 14: r12c16 r15c16 r15c18 <> 10 r16 c16 n6 naked tuple of size 2 at block positions 2, 5 in block 19: r16c16 <> 6 r17 c18 n8 r18 c18 n8 naked tuple of size 2 at block positions 2, 12 in block 19: r17c18 r18c18 <> 8 r12 c25 n5 r12 c25 n14 hidden tuple of size 2 with numbers 4, 10 in row 12: r12c25 <> 5,14 r15 c18 n16 hidden tuple of size 2 with numbers 15, 23 in row 15: r15c18 <> 16 r17 c1 n15 r17 c1 n22 r17 c1 n23 hidden tuple of size 2 with numbers 8, 18 in row 17: r17c1 <> 15,22,23 r25 c12 n6 r25 c12 n12 r25 c12 n19 hidden tuple of size 2 with numbers 22, 25 in row 25: r25c12 <> 6,12,19 r9 c1 n4 r9 c1 n8 r9 c1 n11 r9 c1 n12 r9 c1 n19 hidden tuple of size 2 with numbers 20, 22 in column 1: r9c1 <> 4,8,11,12,19 r23 c16 n5 r23 c16 n19 r23 c16 n21 hidden tuple of size 2 with numbers 2, 10 in column 16: r23c16 <> 5,19,21 r13 c18 n6 r13 c18 n7 r13 c18 n11 hidden tuple of size 2 with numbers 16, 18 in column 18: r13c18 <> 6,7,11 r18 c4 n4 r18 c4 n8 r18 c4 n15 hidden tuple of size 2 with numbers 18, 22 in block 16: r18c4 <> 4,8,15 r4 c3 n23 r4 c5 n23 r4 c9 n23 r4 c21 n23 naked tuple of size 2 at column positions 14, 17 in row 4: r4c3 r4c5 r4c9 r4c21 <> 23 r9 c4 n22 naked tuple of size 2 at column positions 1, 10 in row 9: r9c4 <> 22 r13 c8 n16 naked tuple of size 2 at column positions 12, 18 in row 13: r13c8 <> 16 r15 c21 n10 r15 c24 n10 naked tuple of size 2 at column positions 6, 17 in row 15: r15c21 r15c24 <> 10 r18 c8 n10 r18 c11 n10 r18 c15 n10 r18 c8 n22 r18 c18 n22 naked tuple of size 2 at column positions 4, 7 in row 18: r18c8 r18c11 r18c15 <> 10 r18c8 r18c18 <> 22 r18 c7 n22 naked tuple of size 2 at column positions 4, 13 in row 18: r18c7 <> 22 r18 c2 n8 naked tuple of size 2 at column positions 4, 17 in row 18: r18c2 <> 8 r23 c18 n10 r23 c21 n10 r23 c25 n10 naked tuple of size 2 at column positions 4, 16 in row 23: r23c18 r23c21 r23c25 <> 10 r6 c1 n8 r12 c1 n8 naked tuple of size 2 at row positions 9, 17 in column 1: r6c1 r12c1 <> 8 r1 c1 n5 r2 c1 n5 r3 c1 n5 r20 c1 n5 naked tuple of size 2 at row positions 12, 14 in column 1: r1c1 r2c1 r3c1 r20c1 <> 5 r3 c7 n10 r5 c7 n10 r8 c7 n10 naked tuple of size 2 at row positions 7, 18 in column 7: r3c7 r5c7 r8c7 <> 10 r5 c7 n8 naked tuple of size 2 at row positions 8, 18 in column 7: r5c7 <> 8 r22 c12 n22 naked tuple of size 2 at row positions 1, 25 in column 12: r22c12 <> 22 r8 c17 n10 r22 c17 n10 r25 c17 n10 naked tuple of size 2 at row positions 1, 15 in column 17: r8c17 r22c17 r25c17 <> 10 r3 c25 n10 r25 c25 n10 naked tuple of size 2 at row positions 1, 12 in column 25: r3c25 r25c25 <> 10 r8 c8 n8 r9 c8 n8 r10 c10 n8 naked tuple of size 2 at block positions 5, 12 in block 7: r8c8 r9c8 r10c10 <> 8 r15 c2 n5 r15 c5 n5 naked tuple of size 2 at block positions 6, 16 in block 11: r15c2 r15c5 <> 5 r17 c8 n10 naked tuple of size 2 at block positions 12, 17 in block 17: r17c8 <> 10 r22 c18 n10 naked tuple of size 2 at block positions 11, 18 in block 24: r22c18 <> 10 r10 c11 n5 hidden tuple of size 2 with numbers 4, 8 in row 10: r10c11 <> 5 r8 c2 n8 r8 c11 n8 r8 c22 n8 naked tuple of size 2 at column positions 7, 13 in row 8: r8c2 r8c11 r8c22 <> 8 r12 c10 n5 naked tuple of size 2 at column positions 1, 12 in row 12: r12c10 <> 5 r3 c7 n1 r23 c7 n1 naked tuple of size 2 at row positions 5, 7 in column 7: r3c7 r23c7 <> 1 r9 c11 n8 r8 c11 n14 r9 c11 n14 naked tuple of size 2 at row positions 6, 10 in column 11: r9c11 <> 8 r8c11 r9c11 <> 14 r6 c11 n8 r8 c11 n11 r21 c11 n11 r24 c11 n11 naked tuple of size 2 at row positions 9, 10 in column 11: r6c11 <> 8 r8c11 r21c11 r24c11 <> 11 r8 c15 n11 r9 c15 n11 naked tuple of size 2 at block positions 1, 16 in block 8: r8c15 r9c15 <> 11 r8 c15 n12 r10 c12 n12 r10 c14 n12 naked tuple of size 2 at block positions 1, 20 in block 8: r8c15 r10c12 r10c14 <> 12 r6 c2 n14 r6 c2 n24 hidden tuple of size 2 with numbers 8, 13 in row 6: r6c2 <> 14,24 r9 c22 n4 r9 c22 n12 r9 c22 n14 r9 c22 n19 hidden tuple of size 2 with numbers 8, 24 in column 22: r9c22 <> 4,12,14,19 r6 c21 n14 r6 c24 n14 r6 c25 n14 naked tuple of size 2 at column positions 2, 11 in row 6: r6c21 r6c24 r6c25 <> 14 r9 c2 n11 naked tuple of size 2 at column positions 1, 11 in row 9: r9c2 <> 11 r9 c2 n12 r9 c4 n12 r9 c8 n12 r9 c25 n12 naked tuple of size 2 at column positions 1, 15 in row 9: r9c2 r9c4 r9c8 r9c25 <> 12 r9 c2 n8 r9 c4 n8 naked tuple of size 2 at column positions 1, 22 in row 9: r9c2 r9c4 <> 8 r2 c15 n12 r3 c15 n12 r16 c15 n12 r17 c15 n12 r18 c15 n12 r24 c15 n12 naked tuple of size 2 at row positions 6, 9 in column 15: r2c15 r3c15 r16c15 r17c15 r18c15 r24c15 <> 12 r12 c4 n6 r12 c4 n14 hidden tuple of size 2 with numbers 8, 9 in column 4: r12c4 <> 6,14 r24 c25 n1 r24 c25 n5 r24 c25 n15 r25 c25 n1 r25 c25 n15 hidden tuple of size 2 with numbers 12, 13 in column 25: r24c25 <> 1,5,15 r25c25 <> 1,15 r16 c12 n5 hidden tuple of size 2 with numbers 2, 12 in block 18: r16c12 <> 5 r12 c10 n8 naked tuple of size 2 at column positions 1, 4 in row 12: r12c10 <> 8 r16 c6 n12 r16 c16 n12 r16 c23 n12 naked tuple of size 2 at column positions 12, 14 in row 16: r16c6 r16c16 r16c23 <> 12 r16 c16 n7 naked tuple of size 2 at column positions 12, 23 in row 16: r16c16 <> 7 r16 c10 n22 naked tuple of size 2 at column positions 14, 16 in row 16: r16c10 <> 22 r4 c12 n12 r22 c12 n12 naked tuple of size 2 at row positions 1, 16 in column 12: r4c12 r22c12 <> 12 r17 c16 n22 r21 c16 n22 naked tuple of size 2 at row positions 6, 16 in column 16: r17c16 r21c16 <> 22 r15 c2 n8 naked tuple of size 2 at block positions 6, 9 in block 11: r15c2 <> 8 r17 c18 n22 naked tuple of size 2 at block positions 1, 2 in block 19: r17c18 <> 22 r18 c18 n12 r19 c18 n12 r18 c18 n19 naked tuple of size 2 at block positions 6, 8 in block 19: r18c18 r19c18 <> 12 r18c18 <> 19 r18 c18 n13 naked tuple of size 2 at block positions 12, 18 in block 19: r18c18 <> 13 r18 c22 n7 r18 c23 n7 r18 c24 n7 naked tuple of size 2 at block positions 1, 3 in block 20: r18c22 r18c23 r18c24 <> 7 r22 c21 n12 r25 c23 n12 naked tuple of size 2 at block positions 20, 25 in block 25: r22c21 r25c23 <> 12 r5 c6 n1 r5 c6 n5 r5 c6 n6 r5 c6 n9 r5 c6 n14 r10 c6 n5 r10 c6 n25 hidden tuple of size 2 with numbers 10, 12 in column 6: r5c6 <> 1,5,6,9,14 r10c6 <> 5,25 r10 c6 n10 r21 c6 n5 r21 c6 n6 r21 c6 n19 r21 c6 n21 hidden tuple of size 2 with numbers 12, 14 in column 6: r10c6 <> 10 r21c6 <> 5,6,19,21 r10 c9 n5 r10 c10 n5 hidden tuple of size 2 with numbers 2, 25 in block 7: r10c9 <> 5 r10c10 <> 5 r5 c3 n1 r5 c8 n1 r5 c11 n1 r5 c21 n1 r5 c22 n1 r5 c23 n1 r5 c8 n10 r5 c11 n10 r5 c15 n10 r5 c21 n10 naked tuple of size 2 at column positions 6, 7 in row 5: r5c3 r5c8 r5c11 r5c21 r5c22 r5c23 <> 1 r5c8 r5c11 r5c15 r5c21 <> 10 r10 c5 n12 r10 c21 n12 r10 c23 n12 naked tuple of size 2 at column positions 6, 11 in row 10: r10c5 r10c21 r10c23 <> 12 r17 c8 n12 r17 c22 n12 r17 c22 n19 r17 c24 n19 naked tuple of size 2 at column positions 16, 18 in row 17: r17c8 r17c22 <> 12 r17c22 r17c24 <> 19 r19 c3 n13 r19 c8 n13 naked tuple of size 2 at column positions 7, 18 in row 19: r19c3 r19c8 <> 13 r21 c8 n14 r21 c21 n14 naked tuple of size 2 at column positions 6, 10 in row 21: r21c8 r21c21 <> 14 r2 c18 n7 r3 c18 n7 r5 c18 n7 r7 c18 n7 naked tuple of size 2 at row positions 13, 18 in column 18: r2c18 r3c18 r5c18 r7c18 <> 7 r2 c6 n1 r2 c8 n1 r3 c8 n1 r4 c8 n1 r3 c8 n10 r4 c8 n10 naked tuple of size 2 at block positions 21, 22 in block 2: r2c6 r2c8 r3c8 r4c8 <> 1 r3c8 r4c8 <> 10 r7 c8 n12 r8 c8 n12 naked tuple of size 2 at block positions 5, 21 in block 7: r7c8 r8c8 <> 12 r18 c8 n15 r19 c8 n15 naked tuple of size 2 at block positions 8, 10 in block 17: r18c8 r19c8 <> 15 r23 c8 n14 naked tuple of size 2 at block positions 1, 5 in block 22: r23c8 <> 14 r2 c24 n1 r2 c24 n5 r2 c24 n6 r2 c24 n16 r2 c24 n19 r2 c24 n23 hidden tuple of size 2 with numbers 7, 22 in row 2: r2c24 <> 1,5,6,16,19,23 r4 c21 n1 r4 c21 n5 r4 c21 n6 r4 c21 n11 r4 c21 n14 r4 c21 n15 r4 c21 n16 hidden tuple of size 2 with numbers 10, 17 in row 4: r4c21 <> 1,5,6,11,14,15,16 r5 c5 n2 r5 c5 n3 r5 c5 n5 r5 c5 n6 r5 c5 n11 r5 c5 n15 hidden tuple of size 2 with numbers 1, 20 in row 5: r5c5 <> 2,3,5,6,11,15 r5 c11 n5 r5 c11 n6 r5 c11 n9 r5 c22 n5 r5 c22 n7 r5 c22 n9 r5 c22 n14 hidden tuple of size 2 with numbers 2, 19 in row 5: r5c11 <> 5,6,9 r5c22 <> 5,7,9,14 r7 c19 n3 r7 c19 n5 hidden tuple of size 2 with numbers 7, 14 in row 7: r7c19 <> 3,5 r10 c12 n19 hidden tuple of size 2 with numbers 4, 5 in row 10: r10c12 <> 19 r10 c3 n3 r10 c3 n15 r10 c3 n24 hidden tuple of size 2 with numbers 4, 10 in row 10: r10c3 <> 3,15,24 r10 c14 n15 hidden tuple of size 2 with numbers 4, 19 in row 10: r10c14 <> 15 r22 c12 n5 r22 c12 n6 hidden tuple of size 2 with numbers 4, 19 in column 12: r22c12 <> 5,6 r4 c12 n5 hidden tuple of size 2 with numbers 6, 8 in column 12: r4c12 <> 5 r22 c14 n19 r25 c14 n19 hidden tuple of size 2 with numbers 12, 15 in column 14: r22c14 <> 19 r25c14 <> 19 r8 c11 n5 r8 c15 n5 hidden tuple of size 2 with numbers 6, 15 in block 8: r8c11 <> 5 r8c15 <> 5 r8 c15 n6 hidden tuple of size 2 with numbers 7, 15 in block 8: r8c15 <> 6 r4 c3 n6 r4 c4 n6 r4 c5 n6 r4 c8 n6 r4 c18 n6 r4 c23 n6 naked tuple of size 2 at column positions 12, 14 in row 4: r4c3 r4c4 r4c5 r4c8 r4c18 r4c23 <> 6 r8 c2 n15 r8 c3 n15 r8 c5 n15 r8 c23 n15 r8 c24 n15 naked tuple of size 2 at column positions 7, 15 in row 8: r8c2 r8c3 r8c5 r8c23 r8c24 <> 15 r17 c24 n15 naked tuple of size 2 at column positions 8, 10 in row 17: r17c24 <> 15 r2 c11 n6 r3 c11 n6 r21 c11 n6 naked tuple of size 2 at row positions 6, 8 in column 11: r2c11 r3c11 r21c11 <> 6 r3 c15 n15 r5 c15 n15 r23 c15 n15 r24 c15 n15 naked tuple of size 2 at row positions 6, 8 in column 15: r3c15 r5c15 r23c15 r24c15 <> 15 r3 c19 n7 r5 c19 n7 r13 c19 n7 naked tuple of size 2 at row positions 7, 18 in column 19: r3c19 r5c19 r13c19 <> 7 r3 c21 n10 r22 c21 n10 naked tuple of size 2 at row positions 4, 8 in column 21: r3c21 r22c21 <> 10 r2 c15 n6 r3 c15 n6 r5 c15 n6 naked tuple of size 2 at block positions 2, 17 in block 3: r2c15 r3c15 r5c15 <> 6 r2 c11 n5 r2 c13 n5 r3 c11 n5 r3 c15 n5 r4 c13 n5 r2 c11 n9 r2 c13 n9 r3 c11 n9 r3 c15 n9 naked tuple of size 2 at block positions 10, 25 in block 3: r2c11 r2c13 r3c11 r3c15 r4c13 <> 5 r2c11 r2c13 r3c11 r3c15 <> 9 r3 c11 n10 naked tuple of size 2 at block positions 13, 15 in block 3: r3c11 <> 10 r3 c22 n7 r5 c23 n7 naked tuple of size 2 at block positions 5, 9 in block 5: r3c22 r5c23 <> 7 r8 c3 n10 r9 c4 n10 naked tuple of size 2 at block positions 2, 23 in block 6: r8c3 r9c4 <> 10 r22 c13 n12 r24 c13 n12 r22 c13 n15 r24 c13 n15 naked tuple of size 2 at block positions 9, 24 in block 23: r22c13 r24c13 <> 12 r22c13 r24c13 <> 15 r22 c4 n6 r22 c4 n12 r22 c4 n15 hidden tuple of size 2 with numbers 8, 10 in column 4: r22c4 <> 6,12,15 r17 c11 n9 r17 c11 n23 hidden tuple of size 2 with numbers 6, 10 in column 11: r17c11 <> 9,23 r24 c13 n5 hidden tuple of size 2 with numbers 2, 9 in column 13: r24c13 <> 5 r4 c13 n12 hidden tuple of size 2 with numbers 2, 15 in column 13: r4c13 <> 12 r2 c1 n12 r2 c2 n12 r2 c18 n12 naked tuple of size 2 at column positions 13, 20 in row 2: r2c1 r2c2 r2c18 <> 12 r4 c5 n12 r4 c18 n12 r4 c3 n15 r4 c5 n15 r4 c8 n15 r4 c23 n15 naked tuple of size 2 at column positions 4, 13 in row 4: r4c5 r4c18 <> 12 r4c3 r4c5 r4c8 r4c23 <> 15 r4 c4 n15 naked tuple of size 2 at column positions 12, 13 in row 4: r4c4 <> 15 r17 c15 n10 naked tuple of size 2 at column positions 1, 11 in row 17: r17c15 <> 10 r22 c3 n10 r22 c3 n19 r22 c5 n19 r22 c8 n19 r22 c9 n19 r22 c18 n19 naked tuple of size 2 at column positions 4, 12 in row 22: r22c3 <> 10 r22c3 r22c5 r22c8 r22c9 r22c18 <> 19 r22 c8 n5 r22 c9 n5 r22 c18 n5 r22 c21 n5 naked tuple of size 2 at column positions 4, 13 in row 22: r22c8 r22c9 r22c18 r22c21 <> 5 r24 c11 n9 r24 c15 n9 naked tuple of size 2 at column positions 13, 18 in row 24: r24c11 r24c15 <> 9 r3 c4 n12 r13 c4 n12 naked tuple of size 2 at row positions 4, 12 in column 4: r3c4 r13c4 <> 12 r16 c15 n5 r18 c15 n5 r20 c15 n5 r21 c15 n5 r23 c15 n5 r24 c15 n5 r17 c15 n9 r18 c15 n9 naked tuple of size 2 at row positions 2, 5 in column 15: r16c15 r18c15 r20c15 r21c15 r23c15 r24c15 <> 5 r17c15 r18c15 <> 9 r16 c15 n23 r20 c15 n23 r21 c15 n23 naked tuple of size 2 at row positions 3, 17 in column 15: r16c15 r20c15 r21c15 <> 23 r3 c1 n12 r3 c5 n12 naked tuple of size 2 at block positions 19, 25 in block 1: r3c1 r3c5 <> 12 r16 c11 n23 r20 c11 n23 naked tuple of size 2 at block positions 2, 10 in block 18: r16c11 r20c11 <> 23 r25 c3 n10 naked tuple of size 2 at block positions 9, 14 in block 21: r25c3 <> 10 r24 c11 n5 naked tuple of size 2 at block positions 1, 8 in block 23: r24c11 <> 5 r21 c11 n5 naked tuple of size 2 at block positions 7, 8 in block 23: r21c11 <> 5 r24 c15 n25 naked tuple of size 2 at block positions 7, 16 in block 23: r24c15 <> 25 r17 c24 n23 hidden tuple of size 2 with numbers 2, 9 in row 17: r17c24 <> 23 r17 c22 n2 hidden tuple of size 2 with numbers 8, 9 in row 17: r17c22 <> 2 r25 c24 n1 r25 c24 n6 r25 c24 n15 hidden tuple of size 2 with numbers 10, 22 in row 25: r25c24 <> 1,6,15 r18 c11 n5 r18 c11 n20 r18 c11 n25 hidden tuple of size 2 with numbers 6, 9 in column 11: r18c11 <> 5,20,25 r20 c11 n5 hidden tuple of size 2 with numbers 6, 20 in column 11: r20c11 <> 5 r16 c11 n25 hidden tuple of size 2 with numbers 2, 5 in block 18: r16c11 <> 25 r16 c5 n5 naked tuple of size 2 at column positions 11, 12 in row 16: r16c5 <> 5 r18 c21 n9 r18 c22 n9 r18 c23 n9 naked tuple of size 2 at column positions 4, 11 in row 18: r18c21 r18c22 r18c23 <> 9 r20 c2 n20 naked tuple of size 2 at column positions 10, 11 in row 20: r20c2 <> 20 r3 c22 n9 r8 c22 n9 naked tuple of size 2 at row positions 9, 17 in column 22: r3c22 r8c22 <> 9 r1 c24 n2 r13 c24 n7 naked tuple of size 2 at row positions 2, 17 in column 24: r1c24 <> 2 r13c24 <> 7 r1 c2 n5 r1 c2 n15 hidden tuple of size 2 with numbers 1, 2 in row 1: r1c2 <> 5,15 r3 c21 n1 r3 c21 n5 r3 c21 n6 r3 c21 n11 r3 c21 n15 r3 c21 n16 r3 c21 n23 hidden tuple of size 2 with numbers 9, 10 in row 3: r3c21 <> 1,5,6,11,15,16,23 r18 c2 n4 r18 c2 n5 r18 c2 n15 r18 c2 n16 hidden tuple of size 2 with numbers 2, 20 in row 18: r18c2 <> 4,5,15,16 r11 c2 n2 naked tuple of size 2 at row positions 1, 6 in column 2: r11c2 <> 2 r5 c21 n9 r7 c21 n9 naked tuple of size 2 at row positions 3, 4 in column 21: r5c21 r7c21 <> 9 r3 c5 n2 naked tuple of size 2 at block positions 2, 19 in block 1: r3c5 <> 2 r5 c23 n9 naked tuple of size 2 at block positions 5, 11 in block 5: r5c23 <> 9 r5 c15 n5 hidden tuple of size 2 with numbers 1, 9 in row 5: r5c15 <> 5 r11 c5 n6 r11 c5 n19 r11 c5 n23 r11 c5 n24 r11 c5 n25 hidden tuple of size 2 with numbers 2, 7 in row 11: r11c5 <> 6,19,23,24,25 r11 c3 n6 r11 c3 n17 r11 c3 n19 r11 c3 n24 r11 c3 n25 hidden tuple of size 2 with numbers 2, 23 in row 11: r11c3 <> 6,17,19,24,25 r11 c2 n14 hidden tuple of size 2 with numbers 2, 24 in row 11: r11c2 <> 14 r11 c23 n6 r11 c23 n11 r11 c23 n14 r11 c23 n25 hidden tuple of size 2 with numbers 7, 17 in row 11: r11c23 <> 6,11,14,25 r13 c3 n6 r13 c3 n15 r13 c3 n25 hidden tuple of size 2 with numbers 10, 17 in column 3: r13c3 <> 6,15,25 r2 c15 n9 hidden tuple of size 2 with numbers 5, 7 in column 15: r2c15 <> 9 r7 c23 n3 r7 c23 n12 r7 c23 n15 r8 c23 n4 r8 c23 n12 r8 c23 n14 hidden tuple of size 2 with numbers 9, 20 in column 23: r7c23 <> 3,12,15 r8c23 <> 4,12,14 r10 c23 n15 hidden tuple of size 2 with numbers 3, 8 in block 10: r10c23 <> 15 r15 c5 n12 hidden tuple of size 2 with numbers 19, 25 in block 11: r15c5 <> 12 r2 c2 n5 r2 c6 n5 r2 c8 n5 r2 c9 n5 r2 c18 n5 r2 c25 n5 naked tuple of size 2 at column positions 13, 15 in row 2: r2c2 r2c6 r2c8 r2c9 r2c18 r2c25 <> 5 r10 c5 n3 naked tuple of size 2 at column positions 3, 23 in row 10: r10c5 <> 3 r13 c23 n17 naked tuple of size 2 at column positions 3, 12 in row 13: r13c23 <> 17 r15 c8 n19 r15 c9 n19 r15 c8 n25 r15 c9 n25 r15 c10 n25 r15 c23 n25 naked tuple of size 2 at column positions 3, 5 in row 15: r15c8 r15c9 <> 19 r15c8 r15c9 r15c10 r15c23 <> 25 r8 c2 n24 r25 c2 n24 naked tuple of size 2 at row positions 1, 11 in column 2: r8c2 r25c2 <> 24 r1 c3 n23 r16 c3 n23 naked tuple of size 2 at row positions 10, 11 in column 3: r1c3 r16c3 <> 23 r13 c23 n7 naked tuple of size 2 at row positions 10, 16 in column 23: r13c23 <> 7 r16 c5 n16 r16 c5 n25 hidden tuple of size 2 with numbers 5, 23 in row 16: r16c5 <> 16,25 r16 c15 n25 hidden tuple of size 2 with numbers 6, 16 in row 16: r16c15 <> 25 r20 c2 n4 r20 c2 n11 r20 c2 n16 hidden tuple of size 2 with numbers 2, 5 in column 2: r20c2 <> 4,11,16 r18 c15 n16 r20 c15 n16 hidden tuple of size 2 with numbers 4, 25 in column 15: r18c15 <> 16 r20c15 <> 16 r18 c15 n4 hidden tuple of size 2 with numbers 5, 25 in column 15: r18c15 <> 4 r13 c23 n1 r13 c23 n4 r13 c23 n6 r13 c23 n11 r13 c23 n12 hidden tuple of size 2 with numbers 3, 25 in column 23: r13c23 <> 1,4,6,11,12 r11 c24 n14 r13 c24 n1 r13 c24 n4 hidden tuple of size 2 with numbers 6, 11 in block 15: r11c24 <> 14 r13c24 <> 1,4 r13 c6 n25 r13 c8 n25 naked tuple of size 2 at column positions 3, 23 in row 13: r13c6 r13c8 <> 25 r18 c3 n25 r18 c5 n25 r18 c8 n25 r18 c9 n25 naked tuple of size 2 at column positions 2, 15 in row 18: r18c3 r18c5 r18c8 r18c9 <> 25 r20 c5 n5 r20 c21 n5 r20 c24 n5 r20 c25 n5 naked tuple of size 2 at column positions 2, 10 in row 20: r20c5 r20c21 r20c24 r20c25 <> 5 r20 c1 n4 r20 c5 n4 r20 c21 n4 r20 c24 n4 naked tuple of size 2 at column positions 2, 15 in row 20: r20c1 r20c5 r20c21 r20c24 <> 4 r3 c5 n23 r20 c5 n23 naked tuple of size 2 at row positions 5, 16 in column 5: r3c5 r20c5 <> 23 r1 c24 n6 r24 c24 n11 naked tuple of size 2 at row positions 11, 13 in column 24: r1c24 <> 6 r24c24 <> 11 r20 c1 n23 naked tuple of size 2 at block positions 5, 6 in block 16: r20c1 <> 23 r18 c5 n5 naked tuple of size 2 at block positions 5, 22 in block 16: r18c5 <> 5 r18 c5 n16 naked tuple of size 2 at block positions 21, 25 in block 16: r18c5 <> 16 r11 c16 n6 r11 c16 n11 hidden tuple of size 2 with numbers 2, 14 in row 11: r11c16 <> 6,11 r12 c16 n14 r14 c16 n7 r14 c16 n14 r14 c16 n21 hidden tuple of size 2 with numbers 6, 11 in block 14: r12c16 <> 14 r14c16 <> 7,14,21 r13 c20 n18 hidden tuple of size 2 with numbers 7, 10 in block 14: r13c20 <> 18 r13 c19 n21 hidden tuple of size 2 with numbers 7, 18 in block 14: r13c19 <> 21 r15 c16 n14 hidden tuple of size 2 with numbers 7, 21 in block 14: r15c16 <> 14 r12 c13 n11 naked tuple of size 2 at column positions 10, 16 in row 12: r12c13 <> 11 r13 c22 n7 naked tuple of size 2 at column positions 3, 20 in row 13: r13c22 <> 7 r15 c8 n21 r15 c9 n21 r15 c10 n21 naked tuple of size 2 at column positions 6, 16 in row 15: r15c8 r15c9 r15c10 <> 21 r20 c21 n16 r20 c24 n16 r20 c25 n16 naked tuple of size 2 at column positions 1, 5 in row 20: r20c21 r20c24 r20c25 <> 16 r14 c13 n14 naked tuple of size 2 at row positions 2, 12 in column 13: r14c13 <> 14 r21 c16 n21 naked tuple of size 2 at row positions 6, 15 in column 16: r21c16 <> 21 r3 c16 n6 r5 c16 n6 r3 c16 n11 r5 c16 n11 naked tuple of size 2 at row positions 12, 14 in column 16: r3c16 r5c16 <> 6 r3c16 r5c16 <> 11 r5 c19 n18 naked tuple of size 2 at row positions 7, 13 in column 19: r5c19 <> 18 r5 c20 n7 naked tuple of size 2 at row positions 1, 13 in column 20: r5c20 <> 7 r14 c22 n5 r14 c22 n14 hidden tuple of size 2 with numbers 7, 9 in row 14: r14c22 <> 5,14 r18 c21 n4 r18 c21 n5 r18 c21 n12 r18 c21 n15 hidden tuple of size 2 with numbers 9, 16 in column 21: r18c21 <> 4,5,12,15 r18 c22 n4 r18 c22 n12 r18 c24 n4 r18 c24 n15 r18 c24 n16 hidden tuple of size 2 with numbers 5, 19 in block 20: r18c22 <> 4,12 r18c24 <> 4,15,16 r9 c24 n4 r9 c24 n14 r9 c24 n19 hidden tuple of size 2 with numbers 2, 16 in column 24: r9c24 <> 4,14,19 r9 c25 n16 naked tuple of size 2 at column positions 1, 24 in row 9: r9c25 <> 16 r8 c3 n24 r8 c5 n24 block 9 candidates for number 24 all in row 8 (pointing): r8 c3c5 <> 24 r8 c2 n4 r8 c5 n4 block 10 candidates for number 4 all in row 8 (pointing): r8 c2c5 <> 4 r3 c18 n3 r5 c18 n3 block 9 candidates for number 3 all in column 18 (pointing): r3r5 c18 <> 3 r5 c21 n15 r19 c21 n15 r22 c21 n15 r23 c21 n15 block 10 candidates for number 15 all in column 21 (pointing): r5r19r22r23 c21 <> 15 r3 c4 n6 r5 c4 n6 r21 c4 n6 block 11 candidates for number 6 all in column 4 (pointing): r3r5r21 c4 <> 6 r8 c2 n12 r24 c2 n12 r25 c2 n12 block 11 candidates for number 12 all in column 2 (pointing): r8r24r25 c2 <> 12 r21 c5 n4 r23 c5 n4 block 16 candidates for number 4 all in column 5 (pointing): r21r23 c5 <> 4 r1 c23 n15 r5 c23 n15 r25 c23 n15 block 20 candidates for number 15 all in column 23 (pointing): r1r5r25 c23 <> 15 r5 c21 n11 block 25 candidates for number 11 all in column 21 (pointing): r5 c21 <> 11 r22 c5 n12 column 1 candidates for number 12 all in block 21 (claiming): r22c5 <> 12 r1 c3 n6 r1 c6 n6 naked tuple of size 2 at column positions 2, 23 in row 1: r1c3 r1c6 <> 6 r5 c23 n6 r25 c23 n6 naked tuple of size 2 at row positions 1, 10 in column 23: r5c23 r25c23 <> 6 r4 c23 n1 r15 c23 n1 naked tuple of size 2 at row positions 1, 25 in column 23: r4c23 r15c23 <> 1 r15 c23 n14 naked tuple of size 2 at row positions 4, 5 in column 23: r15c23 <> 14 r5 c21 n6 naked tuple of size 2 at block positions 3, 5 in block 5: r5c21 <> 6 r4 c22 n14 r5 c21 n14 naked tuple of size 2 at block positions 18, 23 in block 5: r4c22 r5c21 <> 14 r23 c21 n1 r23 c22 n1 r23 c25 n1 r24 c24 n1 r21 c21 n6 r23 c21 n6 naked tuple of size 2 at block positions 6, 23 in block 25: r23c21 r23c22 r23c25 r24c24 <> 1 r21c21 r23c21 <> 6 r22 c21 n1 naked tuple of size 2 at block positions 23, 24 in block 25: r22c21 <> 1 r22 c14 n15 hidden tuple of size 2 with numbers 5, 12 in row 22: r22c14 <> 15 r25 c14 n12 hidden tuple of size 2 with numbers 9, 15 in column 14: r25c14 <> 12 r5 c8 n5 r5 c10 n5 r5 c16 n5 r5 c18 n5 r5 c19 n5 naked tuple of size 2 at column positions 5, 21 in row 5: r5c8 r5c10 r5c16 r5c18 r5c19 <> 5 r5 c4 n7 naked tuple of size 2 at column positions 6, 16 in row 5: r5c4 <> 7 r22 c3 n6 r22 c5 n6 r22 c8 n6 naked tuple of size 2 at column positions 4, 21 in row 22: r22c3 r22c5 r22c8 <> 6 r25 c1 n15 r25 c2 n15 r25 c3 n15 r25 c17 n15 naked tuple of size 2 at column positions 12, 14 in row 25: r25c1 r25c2 r25c3 r25c17 <> 15 r25 c2 n1 r25 c3 n1 r25 c6 n1 r25 c17 n1 naked tuple of size 2 at column positions 12, 23 in row 25: r25c2 r25c3 r25c6 r25c17 <> 1 r2 c2 n16 naked tuple of size 2 at row positions 1, 25 in column 2: r2c2 <> 16 r3 c16 n7 naked tuple of size 2 at row positions 5, 6 in column 16: r3c16 <> 7 r15 c21 n5 r21 c21 n5 r23 c21 n5 naked tuple of size 2 at row positions 3, 5 in column 21: r15c21 r21c21 r23c21 <> 5 r1 c24 n5 r3 c22 n5 r3 c25 n5 r4 c22 n5 naked tuple of size 2 at block positions 3, 21 in block 5: r1c24 r3c22 r3c25 r4c22 <> 5 r2 c25 n1 r3 c22 n1 r3 c25 n1 naked tuple of size 2 at block positions 5, 17 in block 5: r2c25 r3c22 r3c25 <> 1 r5 c22 n2 naked tuple of size 2 at block positions 9, 12 in block 5: r5c22 <> 2 r2 c25 n19 naked tuple of size 2 at block positions 9, 22 in block 5: r2c25 <> 19 r23 c1 n16 r23 c5 n16 r25 c1 n16 naked tuple of size 2 at block positions 9, 22 in block 21: r23c1 r23c5 r25c1 <> 16 r1 c6 n21 r1 c9 n21 r1 c9 n23 hidden tuple of size 2 with numbers 5, 25 in row 1: r1c6 <> 21 r1c9 <> 21,23 r1 c3 n15 hidden tuple of size 2 with numbers 6, 21 in row 1: r1c3 <> 15 r2 c2 n4 hidden tuple of size 2 with numbers 1, 19 in row 2: r2c2 <> 4 r2 c1 n16 r2 c1 n23 hidden tuple of size 2 with numbers 4, 5 in row 2: r2c1 <> 16,23 r2 c11 n1 hidden tuple of size 2 with numbers 4, 19 in row 2: r2c11 <> 1 r3 c4 n3 r3 c4 n15 r3 c11 n2 hidden tuple of size 2 with numbers 1, 7 in row 3: r3c4 <> 3,15 r3c11 <> 2 r5 c11 n19 hidden tuple of size 2 with numbers 1, 2 in row 5: r5c11 <> 19 r2 c9 n16 r2 c9 n21 r11 c9 n19 r11 c9 n25 hidden tuple of size 2 with numbers 9, 23 in column 9: r2c9 <> 16,21 r11c9 <> 19,25 r2 c9 n9 hidden tuple of size 2 with numbers 1, 23 in block 2: r2c9 <> 9 r2 c6 n6 r2 c6 n21 hidden tuple of size 2 with numbers 9, 10 in block 2: r2c6 <> 6,21 r2 c25 n23 naked tuple of size 2 at column positions 1, 9 in row 2: r2c25 <> 23 r2 c8 n16 naked tuple of size 2 at column positions 1, 25 in row 2: r2c8 <> 16 r4 c3 n1 naked tuple of size 2 at column positions 4, 22 in row 4: r4c3 <> 1 r11 c6 n9 naked tuple of size 2 at column positions 2, 9 in row 11: r11c6 <> 9 r25 c9 n16 naked tuple of size 2 at column positions 2, 12 in row 25: r25c9 <> 16 r23 c1 n4 r24 c1 n4 naked tuple of size 2 at row positions 2, 9 in column 1: r23c1 r24c1 <> 4 r24 c2 n1 naked tuple of size 2 at row positions 1, 2 in column 2: r24c2 <> 1 r5 c3 n11 r8 c3 n11 r21 c3 n11 r21 c3 n21 r22 c3 n21 naked tuple of size 2 at row positions 1, 4 in column 3: r5c3 r8c3 r21c3 <> 11 r21c3 r22c3 <> 21 r4 c3 n21 naked tuple of size 2 at row positions 1, 10 in column 3: r4c3 <> 21 r13 c22 n1 naked tuple of size 2 at row positions 3, 4 in column 22: r13c22 <> 1 r8 c22 n19 r18 c22 n19 naked tuple of size 2 at row positions 3, 5 in column 22: r8c22 r18c22 <> 19 r23 c22 n5 naked tuple of size 2 at row positions 3, 18 in column 22: r23c22 <> 5 r3 c25 n16 naked tuple of size 2 at row positions 1, 2 in column 25: r3c25 <> 16 r4 c5 n21 naked tuple of size 2 at block positions 2, 3 in block 1: r4c5 <> 21 r3 c1 n11 r3 c5 n11 r4 c5 n11 naked tuple of size 2 at block positions 2, 18 in block 1: r3c1 r3c5 r4c5 <> 11 r3 c8 n5 r3 c10 n5 r4 c8 n5 r4 c9 n5 naked tuple of size 2 at block positions 1, 4 in block 2: r3c8 r3c10 r4c8 r4c9 <> 5 r15 c21 n4 r15 c24 n4 r15 c21 n12 naked tuple of size 2 at block positions 12, 23 in block 15: r15c21 r15c24 <> 4 r15c21 <> 12 r18 c24 n5 naked tuple of size 2 at block positions 1, 12 in block 20: r18c24 <> 5 r3 c18 n5 r3 c18 n6 r3 c18 n12 hidden tuple of size 2 with numbers 1, 11 in row 3: r3c18 <> 5,6,12 r3 c16 n5 hidden tuple of size 2 with numbers 1, 12 in row 3: r3c16 <> 5 r3 c5 n6 r3 c5 n15 r3 c5 n16 hidden tuple of size 2 with numbers 3, 5 in row 3: r3c5 <> 6,15,16 r22 c3 n15 r22 c3 n18 r22 c3 n24 hidden tuple of size 2 with numbers 1, 10 in column 3: r22c3 <> 15,18,24 r21 c3 n3 r21 c3 n6 r21 c3 n19 hidden tuple of size 2 with numbers 1, 18 in column 3: r21c3 <> 3,6,19 r21 c16 n19 hidden tuple of size 2 with numbers 2, 5 in column 16: r21c16 <> 19 r17 c16 n12 hidden tuple of size 2 with numbers 2, 19 in column 16: r17c16 <> 12 r17 c18 n19 hidden tuple of size 2 with numbers 7, 12 in column 18: r17c18 <> 19 r5 c3 n3 r5 c3 n15 hidden tuple of size 2 with numbers 1, 6 in block 1: r5c3 <> 3,15 r23 c25 n14 r24 c24 n4 hidden tuple of size 2 with numbers 5, 15 in block 25: r23c25 <> 14 r24c24 <> 4 r4 c18 n11 r4 c23 n11 naked tuple of size 2 at column positions 3, 4 in row 4: r4c18 r4c23 <> 11 r4 c8 n14 r4 c9 n14 naked tuple of size 2 at column positions 3, 23 in row 4: r4c8 r4c9 <> 14 r5 c8 n6 r5 c10 n6 r5 c18 n6 naked tuple of size 2 at column positions 3, 5 in row 5: r5c8 r5c10 r5c18 <> 6 r21 c23 n18 naked tuple of size 2 at column positions 3, 6 in row 21: r21c23 <> 18 r21 c8 n5 r21 c18 n5 r21 c19 n5 naked tuple of size 2 at column positions 3, 16 in row 21: r21c8 r21c18 r21c19 <> 5 r21 c8 n2 naked tuple of size 2 at column positions 3, 23 in row 21: r21c8 <> 2 r22 c8 n1 r22 c17 n1 r22 c18 n1 naked tuple of size 2 at column positions 3, 4 in row 22: r22c8 r22c17 r22c18 <> 1 r22 c8 n22 naked tuple of size 2 at column positions 3, 18 in row 22: r22c8 <> 22 r25 c3 n6 naked tuple of size 2 at row positions 1, 5 in column 3: r25c3 <> 6 r4 c18 n8 r21 c18 n8 naked tuple of size 2 at row positions 3, 5 in column 18: r4c18 r21c18 <> 8 r5 c18 n11 naked tuple of size 2 at row positions 3, 13 in column 18: r5c18 <> 11 r21 c18 n22 naked tuple of size 2 at row positions 3, 22 in column 18: r21c18 <> 22 r23 c18 n19 naked tuple of size 2 at row positions 5, 21 in column 18: r23c18 <> 19 r5 c23 n14 naked tuple of size 2 at row positions 1, 4 in column 23: r5c23 <> 14 r22 c23 n2 naked tuple of size 2 at row positions 1, 21 in column 23: r22c23 <> 2 r6 c24 n19 r8 c24 n19 naked tuple of size 2 at row positions 2, 18 in column 24: r6c24 r8c24 <> 19 r5 c19 n8 naked tuple of size 2 at block positions 2, 23 in block 4: r5c19 <> 8 r3 c19 n3 naked tuple of size 2 at block positions 2, 24 in block 4: r3c19 <> 3 r4 c18 n5 naked tuple of size 2 at block positions 5, 14 in block 4: r4c18 <> 5 r2 c18 n21 naked tuple of size 2 at block positions 5, 18 in block 4: r2c18 <> 21 r23 c18 n5 r23 c19 n5 naked tuple of size 2 at block positions 1, 3 in block 24: r23c18 r23c19 <> 5 r24 c17 n1 naked tuple of size 2 at block positions 1, 13 in block 24: r24c17 <> 1 r2 c8 n6 hidden tuple of size 2 with numbers 1, 21 in row 2: r2c8 <> 6 r3 c5 n5 hidden tuple of size 2 with numbers 1, 3 in row 3: r3c5 <> 5 r4 c5 n16 hidden tuple of size 2 with numbers 1, 5 in row 4: r4c5 <> 16 r4 c8 n16 r4 c8 n21 hidden tuple of size 2 with numbers 1, 8 in row 4: r4c8 <> 16,21 r4 c9 n21 hidden tuple of size 2 with numbers 1, 16 in row 4: r4c9 <> 21 r5 c8 n8 r5 c8 n13 r5 c8 n15 hidden tuple of size 2 with numbers 1, 14 in row 5: r5c8 <> 8,13,15 r5 c10 n8 r5 c10 n15 hidden tuple of size 2 with numbers 2, 13 in row 5: r5c10 <> 8,15 r5 c4 n3 hidden tuple of size 2 with numbers 2, 15 in row 5: r5c4 <> 3 r21 c19 n21 hidden tuple of size 2 with numbers 2, 8 in row 21: r21c19 <> 21 r22 c8 n21 hidden tuple of size 2 with numbers 1, 2 in row 22: r22c8 <> 21 r24 c2 n11 r24 c2 n15 hidden tuple of size 2 with numbers 4, 9 in row 24: r24c2 <> 11,15 r25 c6 n19 hidden tuple of size 2 with numbers 1, 6 in row 25: r25c6 <> 19 r8 c2 n14 hidden tuple of size 2 with numbers 1, 11 in column 2: r8c2 <> 14 r13 c2 n12 hidden tuple of size 2 with numbers 1, 15 in column 2: r13c2 <> 12 r15 c2 n14 hidden tuple of size 2 with numbers 2, 12 in column 2: r15c2 <> 14 r9 c2 n4 hidden tuple of size 2 with numbers 2, 14 in column 2: r9c2 <> 4 r7 c3 n9 r7 c3 n15 hidden tuple of size 2 with numbers 1, 3 in column 3: r7c3 <> 9,15 r8 c3 n19 hidden tuple of size 2 with numbers 1, 9 in column 3: r8c3 <> 19 r9 c4 n14 hidden tuple of size 2 with numbers 3, 4 in column 4: r9c4 <> 14 r13 c4 n15 hidden tuple of size 2 with numbers 6, 14 in column 4: r13c4 <> 15 r14 c4 n6 hidden tuple of size 2 with numbers 7, 14 in column 4: r14c4 <> 6 r20 c5 n11 hidden tuple of size 2 with numbers 2, 16 in column 5: r20c5 <> 11 r11 c6 n6 r11 c6 n25 hidden tuple of size 2 with numbers 9, 19 in column 6: r11c6 <> 6,25 r18 c9 n13 hidden tuple of size 2 with numbers 9, 14 in column 9: r18c9 <> 13 r15 c10 n5 hidden tuple of size 2 with numbers 8, 17 in column 10: r15c10 <> 5 r3 c10 n6 hidden tuple of size 2 with numbers 15, 22 in column 10: r3c10 <> 6 r8 c17 n24 hidden tuple of size 2 with numbers 1, 4 in column 17: r8c17 <> 24 r23 c19 n24 hidden tuple of size 2 with numbers 3, 21 in column 19: r23c19 <> 24 r8 c19 n5 hidden tuple of size 2 with numbers 3, 24 in column 19: r8c19 <> 5 r8 c24 n14 hidden tuple of size 2 with numbers 2, 4 in column 24: r8c24 <> 14 r3 c1 n15 r3 c1 n23 hidden tuple of size 2 with numbers 1, 16 in block 1: r3c1 <> 15,23 r1 c1 n15 hidden tuple of size 2 with numbers 1, 23 in block 1: r1c1 <> 15 r3 c8 n15 r3 c8 n16 r3 c8 n22 hidden tuple of size 2 with numbers 1, 6 in block 2: r3c8 <> 15,16,22 r3 c10 n22 hidden tuple of size 2 with numbers 1, 15 in block 2: r3c10 <> 22 r3 c7 n16 hidden tuple of size 2 with numbers 1, 22 in block 2: r3c7 <> 16 r9 c4 n3 hidden tuple of size 2 with numbers 4, 8 in block 6: r9c4 <> 3 r20 c1 n16 hidden tuple of size 2 with numbers 5, 11 in block 16: r20c1 <> 16 r1 c24 n23 naked tuple of size 2 at column positions 1, 2 in row 1: r1c24 <> 23 r3 c25 n15 naked tuple of size 2 at column positions 1, 10 in row 3: r3c25 <> 15 r7 c5 n3 r7 c18 n3 naked tuple of size 2 at column positions 3, 7 in row 7: r7c5 r7c18 <> 3 r7 c8 n5 naked tuple of size 2 at column positions 3, 18 in row 7: r7c8 <> 5 r7 c23 n20 naked tuple of size 2 at column positions 7, 8 in row 7: r7c23 <> 20 r8 c23 n9 r8 c5 n11 naked tuple of size 2 at column positions 2, 3 in row 8: r8c23 <> 9 r8c5 <> 11 r8 c18 n1 naked tuple of size 2 at column positions 2, 17 in row 8: r8c18 <> 1 r8 c8 n20 naked tuple of size 2 at column positions 2, 23 in row 8: r8c8 <> 20 r8 c22 n4 naked tuple of size 2 at column positions 2, 24 in row 8: r8c22 <> 4 r9 c25 n14 naked tuple of size 2 at column positions 1, 2 in row 9: r9c25 <> 14 r9 c8 n19 naked tuple of size 2 at column positions 1, 25 in row 9: r9c8 <> 19 r9 c18 n10 naked tuple of size 2 at column positions 2, 8 in row 9: r9c18 <> 10 r11 c8 n19 naked tuple of size 2 at column positions 2, 6 in row 11: r11c8 <> 19 r13 c6 n6 r13 c8 n6 r13 c24 n6 naked tuple of size 2 at column positions 2, 4 in row 13: r13c6 r13c8 r13c24 <> 6 r13 c13 n11 naked tuple of size 2 at column positions 2, 24 in row 13: r13c13 <> 11 r13 c6 n21 r13 c8 n21 naked tuple of size 2 at column positions 3, 13 in row 13: r13c6 r13c8 <> 21 r13 c8 n1 naked tuple of size 2 at column positions 4, 6 in row 13: r13c8 <> 1 r13 c22 n4 naked tuple of size 2 at column positions 4, 8 in row 13: r13c22 <> 4 r14 c25 n14 naked tuple of size 2 at column positions 1, 4 in row 14: r14c25 <> 14 r14 c10 n5 naked tuple of size 2 at column positions 1, 25 in row 14: r14c10 <> 5 r15 c23 n12 naked tuple of size 2 at column positions 2, 6 in row 15: r15c23 <> 12 r15 c8 n8 naked tuple of size 2 at column positions 2, 10 in row 15: r15c8 <> 8 r15 c8 n4 naked tuple of size 2 at column positions 2, 23 in row 15: r15c8 <> 4 r18 c8 n14 naked tuple of size 2 at column positions 2, 9 in row 18: r18c8 <> 14 r21 c5 n19 r21 c8 n19 naked tuple of size 2 at column positions 3, 18 in row 21: r21c5 r21c8 <> 19 r23 c8 n1 naked tuple of size 2 at column positions 4, 18 in row 23: r23c8 <> 1 r23 c5 n21 r23 c8 n21 r23 c10 n21 r23 c15 n21 naked tuple of size 2 at column positions 4, 19 in row 23: r23c5 r23c8 r23c10 r23c15 <> 21 r23 c1 n11 r24 c1 n11 naked tuple of size 2 at row positions 1, 20 in column 1: r23c1 r24c1 <> 11 r21 c4 n4 naked tuple of size 2 at row positions 3, 9 in column 4: r21c4 <> 4 r21 c5 n3 naked tuple of size 2 at row positions 3, 4 in column 5: r21c5 <> 3 r24 c6 n1 naked tuple of size 2 at row positions 2, 13 in column 6: r24c6 <> 1 r21 c7 n22 naked tuple of size 2 at row positions 3, 5 in column 7: r21c7 <> 22 r23 c7 n4 naked tuple of size 2 at row positions 3, 21 in column 7: r23c7 <> 4 r11 c8 n6 r21 c8 n6 r23 c8 n6 r21 c8 n21 r24 c8 n21 naked tuple of size 2 at row positions 2, 3 in column 8: r11c8 r21c8 r23c8 <> 6 r21c8 r24c8 <> 21 r8 c8 n10 naked tuple of size 2 at row positions 2, 9 in column 8: r8c8 <> 10 r19 c8 n25 naked tuple of size 2 at row positions 2, 11 in column 8: r19c8 <> 25 r18 c8 n12 naked tuple of size 2 at row positions 2, 19 in column 8: r18c8 <> 12 r17 c8 n22 naked tuple of size 2 at row positions 2, 21 in column 8: r17c8 <> 22 r24 c8 n13 naked tuple of size 2 at row positions 3, 18 in column 8: r24c8 <> 13 r15 c9 n16 naked tuple of size 2 at row positions 2, 4 in column 9: r15c9 <> 16 r1 c9 n5 r8 c9 n5 r24 c9 n5 naked tuple of size 2 at row positions 2, 15 in column 9: r1c9 r8c9 r24c9 <> 5 r25 c9 n19 naked tuple of size 2 at row positions 4, 8 in column 9: r25c9 <> 19 r16 c10 n13 r17 c10 n15 naked tuple of size 2 at row positions 3, 5 in column 10: r16c10 <> 13 r17c10 <> 15 r14 c13 n21 naked tuple of size 2 at row positions 2, 13 in column 13: r14c13 <> 21 r8 c18 n5 naked tuple of size 2 at row positions 2, 7 in column 18: r8c18 <> 5 r8 c22 n12 naked tuple of size 2 at row positions 3, 13 in column 22: r8c22 <> 12 r23 c22 n14 naked tuple of size 2 at row positions 4, 8 in column 22: r23c22 <> 14 r18 c23 n4 r19 c23 n4 naked tuple of size 2 at row positions 1, 15 in column 23: r18c23 r19c23 <> 4 r24 c24 n15 naked tuple of size 2 at row positions 1, 2 in column 24: r24c24 <> 15 r11 c24 n11 naked tuple of size 2 at row positions 1, 13 in column 24: r11c24 <> 11 r15 c24 n5 naked tuple of size 2 at row positions 1, 24 in column 24: r15c24 <> 5 r6 c25 n23 r20 c25 n23 naked tuple of size 2 at row positions 1, 3 in column 25: r6c25 r20c25 <> 23 r6 c25 n19 naked tuple of size 2 at row positions 1, 9 in column 25: r6c25 <> 19 r23 c25 n5 naked tuple of size 2 at row positions 1, 14 in column 25: r23c25 <> 5 r20 c25 n1 naked tuple of size 2 at row positions 2, 6 in column 25: r20c25 <> 1 r1 c6 n25 naked tuple of size 2 at block positions 4, 6 in block 2: r1c6 <> 25 r8 c8 n19 naked tuple of size 2 at block positions 5, 14 in block 7: r8c8 <> 19 r6 c21 n1 r6 c21 n23 naked tuple of size 2 at block positions 4, 5 in block 10: r6c21 <> 1 r6c21 <> 23 r6 c24 n1 naked tuple of size 2 at block positions 5, 8 in block 10: r6c24 <> 1 r11 c10 n25 naked tuple of size 2 at block positions 1, 3 in block 12: r11c10 <> 25 r15 c8 n1 naked tuple of size 2 at block positions 1, 11 in block 12: r15c8 <> 1 r15 c8 n5 naked tuple of size 2 at block positions 1, 24 in block 12: r15c8 <> 5 r14 c10 n6 r14 c10 n11 naked tuple of size 2 at block positions 5, 10 in block 12: r14c10 <> 6 r14c10 <> 11 r16 c9 n13 naked tuple of size 2 at block positions 8, 13 in block 17: r16c9 <> 13 r20 c21 n14 r20 c24 n14 naked tuple of size 2 at block positions 1, 25 in block 20: r20c21 r20c24 <> 14 r19 c21 n12 naked tuple of size 2 at block positions 13, 18 in block 20: r19c21 <> 12 r23 c8 n16 naked tuple of size 2 at block positions 1, 12 in block 22: r23c8 <> 16 r23 c10 n6 naked tuple of size 2 at block positions 1, 21 in block 22: r23c10 <> 6 r23 c8 n5 r24 c6 n5 r24 c8 n5 naked tuple of size 2 at block positions 2, 15 in block 22: r23c8 r24c6 r24c8 <> 5 r22 c9 n21 r24 c9 n21 naked tuple of size 2 at block positions 2, 16 in block 22: r22c9 r24c9 <> 21 r25 c9 n24 naked tuple of size 2 at block positions 3, 9 in block 22: r25c9 <> 24 r23 c21 n4 r23 c21 n11 naked tuple of size 2 at block positions 1, 12 in block 25: r23c21 <> 4 r23c21 <> 11 r21 c21 n4 naked tuple of size 2 at block positions 3, 12 in block 25: r21c21 <> 4 r6 c1 n24 hidden tuple of size 2 with numbers 1, 19 in row 6: r6c1 <> 24 r8 c5 n19 hidden tuple of size 2 with numbers 1, 12 in row 8: r8c5 <> 19 r11 c10 n6 hidden tuple of size 2 with numbers 2, 11 in row 11: r11c10 <> 6 r14 c16 n11 hidden tuple of size 2 with numbers 5, 6 in row 14: r14c16 <> 11 r16 c3 n25 hidden tuple of size 2 with numbers 5, 13 in row 16: r16c3 <> 25 r18 c5 n15 hidden tuple of size 2 with numbers 2, 4 in row 18: r18c5 <> 15 r18 c23 n15 hidden tuple of size 2 with numbers 2, 12 in row 18: r18c23 <> 15 r18 c3 n13 hidden tuple of size 2 with numbers 2, 15 in row 18: r18c3 <> 13 r19 c3 n15 r19 c5 n4 r19 c5 n15 hidden tuple of size 2 with numbers 24, 25 in row 19: r19c3 <> 15 r19c5 <> 4,15 r21 c5 n11 r21 c15 n11 hidden tuple of size 2 with numbers 6, 21 in row 21: r21c5 <> 11 r21c15 <> 11 r22 c5 n15 r22 c5 n24 hidden tuple of size 2 with numbers 1, 21 in row 22: r22c5 <> 15,24 r22 c17 n24 hidden tuple of size 2 with numbers 2, 15 in row 22: r22c17 <> 24 r23 c5 n15 r23 c5 n19 r23 c5 n24 hidden tuple of size 2 with numbers 6, 11 in row 23: r23c5 <> 15,19,24 r23 c1 n15 r23 c1 n19 hidden tuple of size 2 with numbers 9, 24 in row 23: r23c1 <> 15,19 r24 c15 n21 hidden tuple of size 2 with numbers 1, 11 in row 24: r24c15 <> 21 r24 c1 n12 hidden tuple of size 2 with numbers 4, 15 in column 1: r24c1 <> 12 r25 c1 n19 r25 c1 n24 hidden tuple of size 2 with numbers 5, 12 in column 1: r25c1 <> 19,24 r23 c5 n6 hidden tuple of size 2 with numbers 2, 11 in column 5: r23c5 <> 6 r15 c5 n25 hidden tuple of size 2 with numbers 2, 19 in column 5: r15c5 <> 25 r19 c5 n24 hidden tuple of size 2 with numbers 2, 25 in column 5: r19c5 <> 24 r21 c5 n21 hidden tuple of size 2 with numbers 3, 6 in column 5: r21c5 <> 21 r10 c5 n15 hidden tuple of size 2 with numbers 3, 24 in column 5: r10c5 <> 15 r7 c5 n12 hidden tuple of size 2 with numbers 4, 15 in column 5: r7c5 <> 12 r16 c6 n21 hidden tuple of size 2 with numbers 1, 25 in column 6: r16c6 <> 21 r10 c9 n25 r16 c9 n25 hidden tuple of size 2 with numbers 2, 21 in column 9: r10c9 <> 25 r16c9 <> 25 r16 c9 n2 hidden tuple of size 2 with numbers 5, 21 in column 9: r16c9 <> 2 r16 c10 n21 hidden tuple of size 2 with numbers 2, 25 in column 10: r16c10 <> 21 r12 c10 n11 hidden tuple of size 2 with numbers 5, 6 in column 10: r12c10 <> 11 r21 c15 n6 hidden tuple of size 2 with numbers 4, 21 in column 15: r21c15 <> 6 r23 c15 n11 hidden tuple of size 2 with numbers 5, 6 in column 15: r23c15 <> 11 r12 c16 n6 hidden tuple of size 2 with numbers 2, 11 in column 16: r12c16 <> 6 r25 c17 n7 hidden tuple of size 2 with numbers 1, 24 in column 17: r25c17 <> 7 r24 c17 n15 hidden tuple of size 2 with numbers 4, 7 in column 17: r24c17 <> 15 r15 c21 n14 hidden tuple of size 2 with numbers 1, 23 in column 21: r15c21 <> 14 r7 c21 n15 hidden tuple of size 2 with numbers 4, 12 in column 21: r7c21 <> 15 r10 c21 n24 hidden tuple of size 2 with numbers 4, 15 in column 21: r10c21 <> 24 r20 c21 n1 hidden tuple of size 2 with numbers 4, 23 in column 21: r20c21 <> 1 r19 c23 n12 hidden tuple of size 2 with numbers 1, 15 in column 23: r19c23 <> 12 r20 c24 n23 hidden tuple of size 2 with numbers 1, 14 in column 24: r20c24 <> 23 r15 c24 n1 hidden tuple of size 2 with numbers 2, 14 in column 24: r15c24 <> 1 r10 c10 n2 hidden tuple of size 2 with numbers 5, 25 in block 7: r10c10 <> 2 r15 c3 n19 hidden tuple of size 2 with numbers 2, 25 in block 11: r15c3 <> 19 r19 c3 n25 hidden tuple of size 2 with numbers 4, 24 in block 16: r19c3 <> 25 r16 c10 n25 hidden tuple of size 2 with numbers 2, 5 in block 17: r16c10 <> 25 r25 c3 n24 hidden tuple of size 2 with numbers 1, 19 in block 21: r25c3 <> 24 r24 c9 n7 naked tuple of size 2 at column positions 1, 17 in row 24: r24c9 <> 7 r24 c25 n13 naked tuple of size 2 at column positions 2, 9 in row 24: r24c25 <> 13 r25 c25 n12 naked tuple of size 2 at column positions 1, 2 in row 25: r25c25 <> 12 r25 c9 n13 naked tuple of size 2 at column positions 1, 25 in row 25: r25c9 <> 13