r1 c31 n39 r1 c85 n39 r1 c90 n39 r1 c92 n39 r1 c96 n39 naked tuple of size 2 at column positions 64, 67 in row 1: r1c31 r1c85 r1c90 r1c92 r1c96 <> 39 r4 c67 n110 r4 c108 n110 r4 c138 n110 r4 c139 n110 r4 c139 n143 r4 c141 n143 naked tuple of size 2 at column positions 103, 144 in row 4: r4c67 r4c108 r4c138 r4c139 <> 110 r4c139 r4c141 <> 143 r8 c9 n104 r8 c29 n104 r8 c30 n104 r8 c36 n104 r8 c90 n104 r8 c92 n104 r8 c6 n121 r8 c7 n121 r8 c9 n121 r8 c12 n121 naked tuple of size 2 at column positions 17, 23 in row 8: r8c9 r8c29 r8c30 r8c36 r8c90 r8c92 <> 104 r8c6 r8c7 r8c9 r8c12 <> 121 r9 c3 n75 r9 c5 n75 r9 c12 n75 r9 c64 n75 r9 c70 n75 naked tuple of size 2 at column positions 54, 57 in row 9: r9c3 r9c5 r9c12 r9c64 r9c70 <> 75 r11 c2 n43 r11 c8 n43 r11 c9 n43 naked tuple of size 2 at column positions 85, 88 in row 11: r11c2 r11c8 r11c9 <> 43 r15 c8 n5 r15 c11 n5 r15 c85 n5 r15 c94 n5 r15 c7 n115 r15 c8 n115 r15 c12 n115 r15 c26 n115 r15 c27 n115 r15 c30 n115 r15 c31 n115 r15 c85 n115 r15 c86 n115 r15 c88 n115 r15 c94 n115 naked tuple of size 2 at column positions 115, 116 in row 15: r15c8 r15c11 r15c85 r15c94 <> 5 r15c7 r15c8 r15c12 r15c26 r15c27 r15c30 r15c31 r15c85 r15c86 r15c88 r15c94 <> 115 r109 c11 n89 r109 c42 n89 r109 c67 n89 r109 c71 n89 r109 c115 n94 naked tuple of size 2 at column positions 49, 52 in row 109: r109c11 r109c42 r109c67 r109c71 <> 89 r109c115 <> 94 r135 c14 n101 naked tuple of size 2 at row positions 3, 12 in column 14: r135c14 <> 101 r58 c16 n104 r100 c16 n104 r127 c16 n104 r141 c16 n121 naked tuple of size 2 at row positions 25, 34 in column 16: r58c16 r100c16 r127c16 <> 104 r141c16 <> 121 r57 c19 n39 naked tuple of size 2 at row positions 29, 30 in column 19: r57c19 <> 39 r55 c19 n24 r57 c19 n24 r142 c19 n68 naked tuple of size 2 at row positions 124, 127 in column 19: r55c19 r57c19 <> 24 r142c19 <> 68 r134 c20 n12 r137 c20 n12 r138 c20 n12 r143 c20 n12 r52 c20 n80 r59 c20 n80 naked tuple of size 2 at row positions 91, 94 in column 20: r134c20 r137c20 r138c20 r143c20 <> 12 r52c20 r59c20 <> 80 r50 c22 n106 r54 c22 n106 naked tuple of size 2 at row positions 29, 32 in column 22: r50c22 r54c22 <> 106 r123 c24 n114 r124 c24 n114 naked tuple of size 2 at row positions 138, 141 in column 24: r123c24 r124c24 <> 114 r30 c44 n74 r35 c44 n74 r51 c44 n74 r53 c44 n74 r57 c44 n74 r62 c44 n74 r74 c44 n74 r101 c44 n74 r102 c44 n74 r105 c44 n74 r108 c44 n74 r74 c44 n113 r101 c44 n113 r104 c44 n113 r105 c44 n113 r130 c44 n113 r135 c44 n113 naked tuple of size 2 at row positions 3, 7 in column 44: r30c44 r35c44 r51c44 r53c44 r57c44 r62c44 r74c44 r101c44 r102c44 r105c44 r108c44 <> 74 r74c44 r101c44 r104c44 r105c44 r130c44 r135c44 <> 113 r133 c49 n140 naked tuple of size 2 at row positions 46, 47 in column 49: r133c49 <> 140 r27 c58 n129 r32 c58 n129 r54 c58 n129 r114 c58 n129 r14 c58 n134 r18 c58 n134 r29 c58 n134 r115 c58 n134 naked tuple of size 2 at row positions 31, 35 in column 58: r27c58 r32c58 r54c58 r114c58 <> 129 r14c58 r18c58 r29c58 r115c58 <> 134 r138 c76 n22 naked tuple of size 2 at row positions 63, 66 in column 76: r138c76 <> 22 r100 c78 n125 r104 c78 n125 naked tuple of size 2 at row positions 46, 47 in column 78: r100c78 r104c78 <> 125 r138 c83 n97 naked tuple of size 2 at row positions 42, 43 in column 83: r138c83 <> 97 r20 c100 n24 r50 c100 n24 r57 c100 n24 r99 c100 n24 r123 c100 n24 r32 c100 n62 r34 c100 n62 r99 c100 n62 r105 c100 n62 r116 c100 n62 naked tuple of size 2 at row positions 77, 78 in column 100: r20c100 r50c100 r57c100 r99c100 r123c100 <> 24 r32c100 r34c100 r99c100 r105c100 r116c100 <> 62 r12 c22 n101 naked tuple of size 2 at block positions 26, 134 in block 2: r12c22 <> 101 r3 c47 n113 naked tuple of size 2 at block positions 32, 80 in block 4: r3c47 <> 113 r3 c65 n39 r3 c66 n39 r3 c69 n39 naked tuple of size 2 at block positions 4, 7 in block 6: r3c65 r3c66 r3c69 <> 39 r3 c88 n43 r3 c92 n43 r8 c90 n43 r8 c92 n43 r12 c92 n43 naked tuple of size 2 at block positions 121, 124 in block 8: r3c88 r3c92 r8c90 r8c92 r12c92 <> 43 r21 c120 n5 naked tuple of size 2 at block positions 31, 32 in block 22: r21c120 <> 5 r31 c15 n104 naked tuple of size 2 at block positions 4, 112 in block 26: r31c15 <> 104 r31 c20 n39 naked tuple of size 2 at block positions 55, 67 in block 26: r31c20 <> 39 r27 c15 n106 r31 c15 n106 naked tuple of size 2 at block positions 58, 94 in block 26: r27c15 r31c15 <> 106 r34 c55 n129 r35 c50 n129 r29 c60 n134 r36 c53 n134 naked tuple of size 2 at block positions 82, 130 in block 29: r34c55 r35c50 <> 129 r29c60 r36c53 <> 134 r63 c75 n83 r71 c75 n83 naked tuple of size 2 at block positions 8, 80 in block 67: r63c75 r71c75 <> 83 r81 c64 n59 naked tuple of size 2 at block positions 57, 102 in block 78: r81c64 <> 59 r74 c103 n24 r78 c105 n62 naked tuple of size 2 at block positions 52, 64 in block 81: r74c103 <> 24 r78c105 <> 62 r112 c49 n89 r112 c52 n89 r114 c55 n89 r111 c53 n94 r111 c54 n94 r117 c54 n94 naked tuple of size 2 at block positions 1, 4 in block 113: r112c49 r112c52 r114c55 <> 89 r111c53 r111c54 r117c54 <> 94 r127 c23 n68 naked tuple of size 2 at block positions 43, 79 in block 122: r127c23 <> 68 r136 c16 n114 r140 c16 n114 r141 c16 n114 naked tuple of size 2 at block positions 72, 108 in block 134: r136c16 r140c16 r141c16 <> 114 r10 c41 n10 hidden tuple of size 2 with numbers 56, 67 in row 10: r10c41 <> 10 r80 c87 n57 r80 c127 n33 hidden tuple of size 2 with numbers 53, 134 in row 80: r80c87 <> 57 r80c127 <> 33 r53 c14 n116 r53 c14 n130 r57 c14 n13 hidden tuple of size 2 with numbers 30, 131 in column 14: r53c14 <> 116,130 r57c14 <> 13 r24 c24 n122 hidden tuple of size 2 with numbers 17, 142 in column 24: r24c24 <> 122 r133 c50 n3 r133 c50 n72 r133 c50 n79 r133 c50 n107 r142 c50 n3 r142 c50 n8 r142 c50 n52 r142 c50 n60 r142 c50 n87 r142 c50 n102 r142 c50 n107 hidden tuple of size 2 with numbers 62, 90 in column 50: r133c50 <> 3,72,79,107 r142c50 <> 3,8,52,60,87,102,107 r28 c111 n27 r28 c111 n40 r28 c111 n44 r32 c111 n27 r32 c111 n46 r32 c111 n84 hidden tuple of size 2 with numbers 108, 129 in column 111: r28c111 <> 27,40,44 r32c111 <> 27,46,84 r5 c37 n55 r5 c37 n80 r5 c39 n55 r5 c39 n62 hidden tuple of size 2 with numbers 10, 124 in block 4: r5c37 <> 55,80 r5c39 <> 55,62 r6 c41 n73 hidden tuple of size 2 with numbers 55, 80 in block 4: r6c41 <> 73 r14 c51 n116 r22 c60 n9 hidden tuple of size 2 with numbers 54, 134 in block 17: r14c51 <> 116 r22c60 <> 9 r47 c87 n47 r47 c87 n78 hidden tuple of size 2 with numbers 95, 136 in block 44: r47c87 <> 47,78 r74 c103 n42 r79 c103 n10 hidden tuple of size 2 with numbers 58, 113 in block 81: r74c103 <> 42 r79c103 <> 10 r84 c109 n124 r84 c118 n85 r84 c118 n103 r84 c118 n124 hidden tuple of size 2 with numbers 107, 143 in block 82: r84c109 <> 124 r84c118 <> 85,103,124 r5 c2 n10 r5 c4 n10 r5 c10 n10 r5 c11 n10 r5 c12 n10 r5 c133 n10 r5 c138 n10 r5 c139 n10 r5 c143 n10 naked tuple of size 2 at column positions 37, 39 in row 5: r5c2 r5c4 r5c10 r5c11 r5c12 r5c133 r5c138 r5c139 r5c143 <> 10 r6 c104 n55 r6 c105 n55 r6 c26 n80 r6 c27 n80 r6 c29 n80 r6 c34 n80 r6 c35 n80 naked tuple of size 2 at column positions 37, 41 in row 6: r6c104 r6c105 <> 55 r6c26 r6c27 r6c29 r6c34 r6c35 <> 80 r84 c94 n107 r84 c95 n107 r84 c27 n143 r84 c31 n143 r84 c33 n143 r84 c36 n143 naked tuple of size 2 at column positions 109, 118 in row 84: r84c94 r84c95 <> 107 r84c27 r84c31 r84c33 r84c36 <> 143 r50 c22 n109 r54 c22 n109 naked tuple of size 2 at row positions 5, 12 in column 22: r50c22 r54c22 <> 109 r74 c87 n95 r101 c87 n95 r105 c87 n95 r120 c87 n95 r135 c87 n95 r137 c87 n95 r138 c87 n95 r141 c87 n95 r142 c87 n95 r25 c87 n136 r26 c87 n136 r32 c87 n136 r36 c87 n136 r53 c87 n136 r54 c87 n136 r55 c87 n136 r58 c87 n136 r137 c87 n136 r138 c87 n136 r141 c87 n136 naked tuple of size 2 at row positions 39, 47 in column 87: r74c87 r101c87 r105c87 r120c87 r135c87 r137c87 r138c87 r141c87 r142c87 <> 95 r25c87 r26c87 r32c87 r36c87 r53c87 r54c87 r55c87 r58c87 r137c87 r138c87 r141c87 <> 136 r20 c103 n58 r61 c103 n58 r66 c103 n58 r127 c103 n58 r97 c103 n113 r103 c103 n113 r106 c103 n113 r131 c103 n113 naked tuple of size 2 at row positions 74, 79 in column 103: r20c103 r61c103 r66c103 r127c103 <> 58 r97c103 r103c103 r106c103 r131c103 <> 113 r28 c109 n129 r31 c109 n129 r32 c109 n129 naked tuple of size 2 at block positions 39, 87 in block 34: r28c109 r31c109 r32c109 <> 129 r53 c17 n30 r55 c17 n30 naked tuple of size 2 at block positions 50, 98 in block 50: r53c17 r55c17 <> 30 r133 c49 n90 naked tuple of size 2 at block positions 2, 110 in block 137: r133c49 <> 90 r10 c138 n58 hidden tuple of size 2 with numbers 10, 19 in row 10: r10c138 <> 58 r9 c30 n90 r9 c2 n97 r9 c3 n97 r9 c12 n97 r9 c91 n97 r9 c70 n110 r9 c88 n110 r9 c91 n110 naked tuple of size 3 at column positions 36, 95, 108 in row 9: r9c30 <> 90 r9c2 r9c3 r9c12 r9c91 <> 97 r9c70 r9c88 r9c91 <> 110 r42 c36 n69 r42 c4 n121 r42 c5 n121 r42 c7 n121 r42 c9 n121 r42 c11 n121 naked tuple of size 3 at column positions 62, 63, 67 in row 42: r42c36 <> 69 r42c4 r42c5 r42c7 r42c9 r42c11 <> 121 r84 c121 n63 r84 c37 n84 r84 c41 n84 r84 c45 n84 r84 c94 n84 r84 c136 n84 r84 c138 n84 r84 c141 n84 naked tuple of size 3 at column positions 100, 102, 103 in row 84: r84c121 <> 63 r84c37 r84c41 r84c45 r84c94 r84c136 r84c138 r84c141 <> 84 r9 c3 n127 naked tuple of size 2 at column positions 64, 70 in row 9: r9c3 <> 127 r3 c61 n127 r3 c62 n127 r3 c65 n127 r3 c66 n127 r3 c70 n127 r3 c71 n127 naked tuple of size 2 at block positions 100, 106 in block 6: r3c61 r3c62 r3c65 r3c66 r3c70 r3c71 <> 127 r78 c16 n122 r127 c16 n122 naked tuple of size 3 at row positions 20, 23, 24 in column 16: r78c16 r127c16 <> 122 r133 c17 n36 r134 c17 n36 r138 c17 n36 r141 c17 n36 r142 c17 n36 r100 c17 n128 naked tuple of size 3 at row positions 62, 63, 65 in column 17: r133c17 r134c17 r138c17 r141c17 r142c17 <> 36 r100c17 <> 128 r106 c84 n76 r25 c84 n81 naked tuple of size 3 at row positions 99, 101, 104 in column 84: r106c84 <> 76 r25c84 <> 81 r64 c100 n73 r67 c100 n73 r85 c100 n73 r87 c100 n73 r109 c100 n73 r117 c100 n102 naked tuple of size 3 at row positions 38, 43, 46 in column 100: r64c100 r67c100 r85c100 r87c100 r109c100 <> 73 r117c100 <> 102 r117 c1 n85 r117 c2 n85 r117 c5 n85 r117 c8 n85 r117 c65 n85 r117 c66 n85 r117 c85 n85 r117 c87 n85 r117 c88 n85 r117 c99 n85 r117 c135 n85 r117 c1 n105 r117 c2 n105 r117 c4 n105 r117 c8 n105 r117 c12 n105 r117 c54 n105 r117 c59 n105 r117 c65 n105 r117 c66 n105 r117 c71 n105 naked tuple of size 2 at column positions 98, 100 in row 117: r117c1 r117c2 r117c5 r117c8 r117c65 r117c66 r117c85 r117c87 r117c88 r117c99 r117c135 <> 85 r117c1 r117c2 r117c4 r117c8 r117c12 r117c54 r117c59 r117c65 r117c66 r117c71 <> 105 r112 c101 n85 r114 c97 n85 r114 c98 n85 r114 c99 n85 r115 c97 n85 r116 c98 n105 r116 c100 n105 r119 c98 n105 naked tuple of size 2 at block positions 98, 100 in block 117: r112c101 r114c97 r114c98 r114c99 r115c97 <> 85 r116c98 r116c100 r119c98 <> 105 r71 c22 n13 naked tuple of size 3 at block positions 6, 30, 138 in block 62: r71c22 <> 13 r78 c105 n84 naked tuple of size 3 at block positions 136, 138, 139 in block 81: r78c105 <> 84 r138 c76 n126 naked tuple of size 3 at block positions 34, 58, 94 in block 139: r138c76 <> 126 r101 c22 n1 r76 c22 n14 r135 c22 n14 naked tuple of size 2 at row positions 71, 74 in column 22: r101c22 <> 1 r76c22 r135c22 <> 14 r135 c22 n19 r144 c22 n19 r50 c22 n130 r52 c22 n130 r54 c22 n130 naked tuple of size 2 at row positions 101, 107 in column 22: r135c22 r144c22 <> 19 r50c22 r52c22 r54c22 <> 130 r72 c20 n14 naked tuple of size 2 at block positions 99, 130 in block 62: r72c20 <> 14 r101 c16 n19 r107 c16 n19 naked tuple of size 2 at block positions 58, 130 in block 98: r101c16 r107c16 <> 19 r138 c20 n68 r134 c20 n83 r137 c20 n83 r138 c20 n83 r143 c20 n83 naked tuple of size 3 at row positions 61, 62, 72 in column 20: r138c20 <> 68 r134c20 r137c20 r138c20 r143c20 <> 83 r45 c109 n8 r45 c115 n104 r45 c116 n55 hidden tuple of size 3 with numbers 2, 4, 94 in row 45: r45c109 <> 8 r45c115 <> 104 r45c116 <> 55 r73 c136 n56 r73 c136 n68 r73 c141 n68 r73 c141 n94 r73 c141 n105 r73 c143 n56 r73 c143 n61 hidden tuple of size 3 with numbers 3, 31, 116 in row 73: r73c136 <> 56,68 r73c141 <> 68,94,105 r73c143 <> 56,61 r78 c135 n31 r78 c138 n31 r78 c143 n31 r77 c133 n116 r78 c137 n116 r78 c138 n116 r78 c143 n116 naked tuple of size 3 at block positions 4, 9, 11 in block 84: r78c135 r78c138 r78c143 <> 31 r77c133 r78c137 r78c138 r78c143 <> 116 r122 c13 n12 r123 c13 n12 hidden tuple of size 3 with numbers 3, 70, 75 in column 13: r122c13 <> 12 r123c13 <> 12 r76 c22 n114 r135 c22 n12 r135 c22 n13 hidden tuple of size 3 with numbers 35, 101, 118 in column 22: r76c22 <> 114 r135c22 <> 12,13 r57 c79 n38 r58 c79 n38 hidden tuple of size 3 with numbers 21, 85, 101 in column 79: r57c79 <> 38 r58c79 <> 38 r16 c48 n3 r16 c48 n21 r16 c48 n37 r16 c48 n48 r16 c48 n59 r16 c48 n70 r16 c48 n140 r17 c39 n9 r17 c39 n18 r17 c39 n46 r17 c39 n70 r17 c40 n3 r17 c40 n14 r17 c40 n42 r17 c40 n46 r17 c40 n84 r17 c40 n89 r17 c40 n123 hidden tuple of size 3 with numbers 31, 136, 141 in block 16: r16c48 <> 3,21,37,48,59,70,140 r17c39 <> 9,18,46,70 r17c40 <> 3,14,42,46,84,89,123 r127 c23 n50 r127 c23 n104 r132 c16 n114 hidden tuple of size 3 with numbers 29, 98, 126 in block 122: r127c23 <> 50,104 r132c16 <> 114 r126 c15 n13 r128 c15 n13 r128 c15 n30 r128 c15 n116 hidden tuple of size 3 with numbers 40, 50, 104 in block 122: r126c15 <> 13 r128c15 <> 13,30,116 r4 c32 n13 r4 c138 n13 r4 c141 n13 block 1 candidates for number 13 all in row 4 (pointing): r4 c32c138c141 <> 13 r5 c27 n26 r5 c28 n26 block 1 candidates for number 26 all in row 5 (pointing): r5 c27c28 <> 26 r1 c135 n100 r1 c141 n100 r1 c143 n100 r1 c144 n100 block 1 candidates for number 100 all in row 1 (pointing): r1 c135c141c143c144 <> 100 r3 c143 n84 block 3 candidates for number 84 all in row 3 (pointing): r3 c143 <> 84 r8 c6 n120 r8 c9 n120 block 4 candidates for number 120 all in row 8 (pointing): r8 c6c9 <> 120 r3 c26 n3 r3 c31 n3 r3 c32 n3 r3 c33 n3 r3 c35 n3 r3 c36 n3 block 6 candidates for number 3 all in row 3 (pointing): r3 c26c31c32c33c35c36 <> 3 r8 c90 n32 r8 c92 n32 block 6 candidates for number 32 all in row 8 (pointing): r8 c90c92 <> 32 r4 c32 n47 r4 c36 n47 block 6 candidates for number 47 all in row 4 (pointing): r4 c32c36 <> 47 r3 c135 n61 r3 c143 n61 r3 c144 n61 block 6 candidates for number 61 all in row 3 (pointing): r3 c135c143c144 <> 61 r3 c26 n90 r3 c30 n90 r3 c31 n90 r3 c32 n90 r3 c33 n90 r3 c34 n90 r3 c36 n90 r3 c98 n90 block 6 candidates for number 90 all in row 3 (pointing): r3 c26c30c31c32c33c34c36c98 <> 90 r7 c136 n132 block 6 candidates for number 132 all in row 7 (pointing): r7 c136 <> 132 r9 c1 n23 r9 c2 n23 r9 c5 n23 r9 c12 n23 block 8 candidates for number 23 all in row 9 (pointing): r9 c1c2c5c12 <> 23 r1 c141 n143 r1 c143 n143 r1 c144 n143 block 8 candidates for number 143 all in row 1 (pointing): r1 c141c143c144 <> 143 r5 c29 n3 r5 c31 n3 block 9 candidates for number 3 all in row 5 (pointing): r5 c29c31 <> 3 r6 c5 n6 r6 c11 n6 block 9 candidates for number 6 all in row 6 (pointing): r6 c5c11 <> 6 r5 c138 n86 r5 c142 n86 r5 c143 n86 block 9 candidates for number 86 all in row 5 (pointing): r5 c138c142c143 <> 86 r6 c141 n141 block 9 candidates for number 141 all in row 6 (pointing): r6 c141 <> 141 r12 c25 n16 block 11 candidates for number 16 all in row 12 (pointing): r12 c25 <> 16 r12 c86 n21 r12 c92 n21 r12 c94 n21 block 11 candidates for number 21 all in row 12 (pointing): r12 c86c92c94 <> 21 r5 c1 n120 r5 c2 n120 r5 c10 n120 r5 c11 n120 block 11 candidates for number 120 all in row 5 (pointing): r5 c1c2c10c11 <> 120 r3 c4 n121 r3 c6 n121 r3 c12 n121 block 11 candidates for number 121 all in row 3 (pointing): r3 c4c6c12 <> 121 r12 c9 n127 block 11 candidates for number 127 all in row 12 (pointing): r12 c9 <> 127 r20 c133 n7 r20 c141 n7 block 13 candidates for number 7 all in row 20 (pointing): r20 c133c141 <> 7 r19 c4 n124 block 15 candidates for number 124 all in row 19 (pointing): r19 c4 <> 124 r17 c68 n141 r17 c70 n141 r17 c72 n141 block 16 candidates for number 141 all in row 17 (pointing): r17 c68c70c72 <> 141 r18 c2 n9 r18 c3 n9 r18 c5 n9 r18 c35 n9 r18 c37 n9 r18 c41 n9 r18 c47 n9 r18 c85 n9 r18 c92 n9 r18 c94 n9 block 17 candidates for number 9 all in row 18 (pointing): r18 c2c3c5c35c37c41c47c85c92c94 <> 9 r14 c38 n6 r14 c46 n6 r14 c48 n6 r14 c86 n6 r14 c88 n6 r14 c90 n6 block 21 candidates for number 6 all in row 14 (pointing): r14 c38c46c48c86c88c90 <> 6 r14 c49 n71 r14 c123 n71 block 21 candidates for number 71 all in row 14 (pointing): r14 c49c123 <> 71 r23 c122 n109 r23 c128 n109 block 22 candidates for number 109 all in row 23 (pointing): r23 c122c128 <> 109 r20 c90 n43 r20 c92 n43 r20 c95 n43 block 23 candidates for number 43 all in row 20 (pointing): r20 c90c92c95 <> 43 r34 c36 n11 r34 c115 n11 r34 c116 n11 block 29 candidates for number 11 all in row 34 (pointing): r34 c36c115c116 <> 11 r29 c1 n117 r29 c4 n117 r29 c5 n117 r29 c7 n117 block 29 candidates for number 117 all in row 29 (pointing): r29 c1c4c5c7 <> 117 r33 c1 n43 r33 c2 n43 r33 c4 n43 r33 c11 n43 block 30 candidates for number 43 all in row 33 (pointing): r33 c1c2c4c11 <> 43 r35 c2 n112 r35 c4 n112 r35 c9 n112 r35 c135 n112 r35 c136 n112 r35 c143 n112 block 30 candidates for number 112 all in row 35 (pointing): r35 c2c4c9c135c136c143 <> 112 r33 c1 n140 r33 c2 n140 r33 c4 n140 r33 c6 n140 block 30 candidates for number 140 all in row 33 (pointing): r33 c1c2c4c6 <> 140 r30 c1 n51 r30 c4 n51 r30 c5 n51 r30 c8 n51 r30 c30 n51 r30 c32 n51 r30 c86 n51 r30 c94 n51 r30 c96 n51 block 33 candidates for number 51 all in row 30 (pointing): r30 c1c4c5c8c30c32c86c94c96 <> 51 r28 c29 n20 r28 c30 n20 r28 c33 n20 block 34 candidates for number 20 all in row 28 (pointing): r28 c29c30c33 <> 20 r27 c58 n73 r27 c88 n73 r27 c92 n73 block 36 candidates for number 73 all in row 27 (pointing): r27 c58c88c92 <> 73 r41 c144 n30 block 39 candidates for number 30 all in row 41 (pointing): r41 c144 <> 30 r40 c137 n70 r40 c143 n70 block 39 candidates for number 70 all in row 40 (pointing): r40 c137c143 <> 70 r40 c123 n72 r40 c128 n72 r40 c129 n72 block 39 candidates for number 72 all in row 40 (pointing): r40 c123c128c129 <> 72 r43 c37 n124 r43 c39 n124 r43 c41 n124 block 39 candidates for number 124 all in row 43 (pointing): r43 c37c39c41 <> 124 r41 c4 n121 r41 c5 n121 r41 c9 n121 r41 c12 n121 block 40 candidates for number 121 all in row 41 (pointing): r41 c4c5c9c12 <> 121 r47 c42 n64 r47 c48 n64 block 42 candidates for number 64 all in row 47 (pointing): r47 c42c48 <> 64 r40 c123 n76 r40 c125 n76 block 42 candidates for number 76 all in row 40 (pointing): r40 c123c125 <> 76 r47 c8 n104 r47 c127 n104 r47 c129 n104 r47 c131 n104 block 42 candidates for number 104 all in row 47 (pointing): r47 c8c127c129c131 <> 104 r47 c126 n19 r47 c127 n19 block 44 candidates for number 19 all in row 47 (pointing): r47 c126c127 <> 19 r46 c133 n67 r46 c135 n67 block 44 candidates for number 67 all in row 46 (pointing): r46 c133c135 <> 67 r38 c133 n112 r38 c136 n112 r38 c139 n112 r38 c141 n112 r38 c143 n112 block 44 candidates for number 112 all in row 38 (pointing): r38 c133c136c139c141c143 <> 112 r40 c65 n11 block 46 candidates for number 11 all in row 40 (pointing): r40 c65 <> 11 r46 c135 n77 block 46 candidates for number 77 all in row 46 (pointing): r46 c135 <> 77 r38 c136 n111 r38 c139 n111 r38 c142 n111 r38 c143 n111 block 46 candidates for number 111 all in row 38 (pointing): r38 c136c139c142c143 <> 111 r43 c1 n59 block 47 candidates for number 59 all in row 43 (pointing): r43 c1 <> 59 r43 c1 n105 r43 c2 n105 r43 c4 n105 r43 c11 n105 r43 c12 n105 r43 c25 n105 r43 c27 n105 r43 c29 n105 block 47 candidates for number 105 all in row 43 (pointing): r43 c1c2c4c11c12c25c27c29 <> 105 r47 c3 n99 block 48 candidates for number 99 all in row 47 (pointing): r47 c3 <> 99 r50 c89 n13 r50 c94 n13 r50 c125 n13 block 50 candidates for number 13 all in row 50 (pointing): r50 c89c94c125 <> 13 r50 c8 n66 r50 c10 n66 r50 c11 n66 r50 c12 n66 r50 c28 n66 r50 c31 n66 r50 c64 n66 r50 c103 n66 r50 c112 n66 r50 c115 n66 block 52 candidates for number 66 all in row 50 (pointing): r50 c8c10c11c12c28c31c64c103c112c115 <> 66 r52 c11 n99 r52 c95 n99 block 59 candidates for number 99 all in row 52 (pointing): r52 c11c95 <> 99 r63 c29 n7 r63 c94 n7 r63 c95 n7 r63 c104 n7 block 61 candidates for number 7 all in row 63 (pointing): r63 c29c94c95c104 <> 7 r69 c63 n32 r69 c85 n32 r69 c86 n32 r69 c89 n32 block 61 candidates for number 32 all in row 69 (pointing): r69 c63c85c86c89 <> 32 r66 c3 n121 r66 c5 n121 r66 c8 n121 r66 c12 n121 block 63 candidates for number 121 all in row 66 (pointing): r66 c3c5c8c12 <> 121 r64 c126 n11 r64 c131 n11 r64 c135 n11 r64 c137 n11 r64 c141 n11 r64 c143 n11 block 68 candidates for number 11 all in row 64 (pointing): r64 c126c131c135c137c141c143 <> 11 r72 c46 n6 r72 c61 n6 r72 c68 n6 block 70 candidates for number 6 all in row 72 (pointing): r72 c46c61c68 <> 6 r62 c6 n13 r62 c7 n13 r62 c61 n13 r62 c62 n13 r62 c68 n13 r62 c71 n13 r62 c86 n13 r62 c94 n13 r62 c134 n13 r62 c138 n13 block 70 candidates for number 13 all in row 62 (pointing): r62 c6c7c61c62c68c71c86c94c134c138 <> 13 r69 c33 n52 block 71 candidates for number 52 all in row 69 (pointing): r69 c33 <> 52 r67 c2 n139 r67 c5 n139 r67 c9 n139 r67 c12 n139 block 72 candidates for number 139 all in row 67 (pointing): r67 c2c5c9c12 <> 139 r76 c4 n35 r76 c6 n35 block 74 candidates for number 35 all in row 76 (pointing): r76 c4c6 <> 35 r78 c132 n86 block 74 candidates for number 86 all in row 78 (pointing): r78 c132 <> 86 r76 c45 n114 r76 c47 n114 r76 c48 n114 block 74 candidates for number 114 all in row 76 (pointing): r76 c45c47c48 <> 114 r76 c4 n78 r76 c6 n78 block 76 candidates for number 78 all in row 76 (pointing): r76 c4c6 <> 78 r78 c26 n116 r78 c30 n116 r78 c36 n116 block 76 candidates for number 116 all in row 78 (pointing): r78 c26c30c36 <> 116 r74 c87 n52 r74 c93 n52 r74 c94 n52 block 77 candidates for number 52 all in row 74 (pointing): r74 c87c93c94 <> 52 r81 c6 n29 r81 c28 n29 r81 c55 n29 r81 c138 n29 r81 c142 n29 r81 c143 n29 block 78 candidates for number 29 all in row 81 (pointing): r81 c6c28c55c138c142c143 <> 29 r78 c1 n123 r78 c7 n123 r78 c10 n123 block 81 candidates for number 123 all in row 78 (pointing): r78 c1c7c10 <> 123 r79 c8 n142 r79 c86 n142 r79 c91 n142 r79 c134 n142 block 82 candidates for number 142 all in row 79 (pointing): r79 c8c86c91c134 <> 142 r75 c36 n67 block 83 candidates for number 67 all in row 75 (pointing): r75 c36 <> 67 r75 c2 n140 r75 c6 n140 r75 c8 n140 r75 c12 n140 block 83 candidates for number 140 all in row 75 (pointing): r75 c2c6c8c12 <> 140 r78 c54 n4 r78 c59 n4 block 84 candidates for number 4 all in row 78 (pointing): r78 c54c59 <> 4 r83 c89 n75 block 84 candidates for number 75 all in row 83 (pointing): r83 c89 <> 75 r92 c123 n111 r92 c135 n111 r92 c136 n111 r92 c139 n111 r92 c143 n111 block 85 candidates for number 111 all in row 92 (pointing): r92 c123c135c136c139c143 <> 111 r94 c85 n16 r94 c89 n16 r94 c94 n16 r94 c96 n16 block 87 candidates for number 16 all in row 94 (pointing): r94 c85c89c94c96 <> 16 r95 c2 n99 r95 c3 n99 r95 c4 n99 r95 c7 n99 block 88 candidates for number 99 all in row 95 (pointing): r95 c2c3c4c7 <> 99 r85 c67 n27 r85 c109 n27 r85 c111 n27 r85 c133 n27 r85 c135 n27 r85 c136 n27 block 93 candidates for number 27 all in row 85 (pointing): r85 c67c109c111c133c135c136 <> 27 r110 c42 n36 r110 c89 n36 r110 c133 n36 block 111 candidates for number 36 all in row 110 (pointing): r110 c42c89c133 <> 36 r119 c107 n110 r119 c130 n110 block 111 candidates for number 110 all in row 119 (pointing): r119 c107c130 <> 110 r116 c30 n20 r116 c142 n20 block 112 candidates for number 20 all in row 116 (pointing): r116 c30c142 <> 20 r118 c9 n50 r118 c11 n50 block 112 candidates for number 50 all in row 118 (pointing): r118 c9c11 <> 50 r114 c69 n77 r114 c87 n77 r114 c89 n77 r114 c93 n77 r114 c95 n77 block 113 candidates for number 77 all in row 114 (pointing): r114 c69c87c89c93c95 <> 77 r114 c2 n103 r114 c3 n103 r114 c4 n103 r114 c27 n103 r114 c32 n103 block 113 candidates for number 103 all in row 114 (pointing): r114 c2c3c4c27c32 <> 103 r116 c1 n142 r116 c2 n142 r116 c7 n142 r116 c8 n142 r116 c9 n142 r116 c38 n142 r116 c40 n142 r116 c47 n142 block 117 candidates for number 142 all in row 116 (pointing): r116 c1c2c7c8c9c38c40c47 <> 142 r111 c102 n54 block 119 candidates for number 54 all in row 111 (pointing): r111 c102 <> 54 r118 c37 n141 r118 c42 n141 r118 c46 n141 r118 c95 n141 block 120 candidates for number 141 all in row 118 (pointing): r118 c37c42c46c95 <> 141 r123 c37 n69 r123 c39 n69 r123 c41 n69 block 121 candidates for number 69 all in row 123 (pointing): r123 c37c39c41 <> 69 r127 c1 n98 r127 c7 n98 r127 c111 n98 r127 c126 n98 r127 c128 n98 block 122 candidates for number 98 all in row 127 (pointing): r127 c1c7c111c126c128 <> 98 r128 c104 n19 r128 c107 n19 block 123 candidates for number 19 all in row 128 (pointing): r128 c104c107 <> 19 r130 c1 n73 r130 c2 n73 r130 c5 n73 r130 c8 n73 r130 c10 n73 block 129 candidates for number 73 all in row 130 (pointing): r130 c1c2c5c8c10 <> 73 r134 c2 n65 r134 c3 n65 r134 c7 n65 block 138 candidates for number 65 all in row 134 (pointing): r134 c2c3c7 <> 65 r51 c115 n105 r52 c115 n105 r53 c115 n105 r55 c115 n105 r60 c115 n105 r101 c115 n105 r103 c115 n105 r104 c115 n105 r107 c115 n105 r108 c115 n105 block 10 candidates for number 105 all in column 115 (pointing): r51r52r53r55r60r101r103r104r107r108 c115 <> 105 r107 c35 n33 block 15 candidates for number 33 all in column 35 (pointing): r107 c35 <> 33 r8 c41 n73 r74 c41 n73 r84 c41 n73 r86 c41 n73 block 16 candidates for number 73 all in column 41 (pointing): r8r74r84r86 c41 <> 73 r138 c41 n87 r140 c41 n87 r142 c41 n87 block 16 candidates for number 87 all in column 41 (pointing): r138r140r142 c41 <> 87 r52 c49 n19 r53 c49 n19 r56 c49 n19 r57 c49 n19 r108 c49 n19 block 17 candidates for number 19 all in column 49 (pointing): r52r53r56r57r108 c49 <> 19 r53 c49 n53 r57 c49 n53 r102 c49 n53 r106 c49 n53 r108 c49 n53 r132 c49 n53 block 17 candidates for number 53 all in column 49 (pointing): r53r57r102r106r108r132 c49 <> 53 r50 c50 n102 r58 c50 n102 r99 c50 n102 r101 c50 n102 r102 c50 n102 r103 c50 n102 r104 c50 n102 r106 c50 n102 block 17 candidates for number 102 all in column 50 (pointing): r50r58r99r101r102r103r104r106 c50 <> 102 r49 c49 n116 r52 c49 n116 r53 c49 n116 r56 c49 n116 r58 c49 n116 block 17 candidates for number 116 all in column 49 (pointing): r49r52r53r56r58 c49 <> 116 r104 c106 n37 r108 c106 n37 block 21 candidates for number 37 all in column 106 (pointing): r104r108 c106 <> 37 r58 c98 n139 block 21 candidates for number 139 all in column 98 (pointing): r58 c98 <> 139 r99 c120 n24 r100 c120 n24 r104 c120 n24 r107 c120 n24 r123 c120 n24 r124 c120 n24 r127 c120 n24 r129 c120 n24 r139 c120 n24 block 22 candidates for number 24 all in column 120 (pointing): r99r100r104r107r123r124r127r129r139 c120 <> 24 r26 c110 n80 r31 c110 n80 r90 c110 n80 r99 c110 n80 r102 c110 n80 r103 c110 n80 r123 c110 n80 r124 c110 n80 r130 c110 n80 r135 c110 n80 r138 c110 n80 block 22 candidates for number 80 all in column 110 (pointing): r26r31r90r99r102r103r123r124r130r135r138 c110 <> 80 r122 c114 n131 r139 c114 n131 block 22 candidates for number 131 all in column 114 (pointing): r122r139 c114 <> 131 r67 c129 n110 r118 c129 n110 block 23 candidates for number 110 all in column 129 (pointing): r67r118 c129 <> 110 r114 c144 n137 r117 c144 n137 r119 c144 n137 r120 c144 n137 block 24 candidates for number 137 all in column 144 (pointing): r114r117r119r120 c144 <> 137 r134 c20 n139 r137 c20 n139 r138 c20 n139 block 26 candidates for number 139 all in column 20 (pointing): r134r137r138 c20 <> 139 r98 c30 n70 r99 c30 n70 r105 c30 n70 r107 c30 n70 r108 c30 n70 r124 c30 n70 r128 c30 n70 r130 c30 n70 block 27 candidates for number 70 all in column 30 (pointing): r98r99r105r107r108r124r128r130 c30 <> 70 r128 c40 n91 r130 c40 n91 r131 c40 n91 block 28 candidates for number 91 all in column 40 (pointing): r128r130r131 c40 <> 91 r121 c60 n34 r125 c60 n34 r132 c60 n34 block 29 candidates for number 34 all in column 60 (pointing): r121r125r132 c60 <> 34 r58 c60 n42 r110 c60 n42 r118 c60 n42 block 29 candidates for number 42 all in column 60 (pointing): r58r110r118 c60 <> 42 r141 c58 n66 r144 c58 n66 block 29 candidates for number 66 all in column 58 (pointing): r141r144 c58 <> 66 r57 c59 n123 block 29 candidates for number 123 all in column 59 (pointing): r57 c59 <> 123 r133 c64 n31 r143 c64 n31 block 30 candidates for number 31 all in column 64 (pointing): r133r143 c64 <> 31 r63 c62 n118 r67 c62 n118 block 30 candidates for number 118 all in column 62 (pointing): r63r67 c62 <> 118 r138 c75 n83 block 31 candidates for number 83 all in column 75 (pointing): r138 c75 <> 83 r97 c99 n23 r98 c99 n23 r102 c99 n23 block 33 candidates for number 23 all in column 99 (pointing): r97r98r102 c99 <> 23 r51 c105 n109 r54 c105 n109 r56 c105 n109 r88 c105 n109 block 33 candidates for number 109 all in column 105 (pointing): r51r54r56r88 c105 <> 109 r133 c115 n38 r135 c115 n38 r142 c115 n38 block 34 candidates for number 38 all in column 115 (pointing): r133r135r142 c115 <> 38 r52 c109 n58 r59 c109 n58 r134 c109 n58 r136 c109 n58 r140 c109 n58 block 34 candidates for number 58 all in column 109 (pointing): r52r59r134r136r140 c109 <> 58 r112 c42 n7 r118 c42 n7 r124 c42 n7 r125 c42 n7 r128 c42 n7 block 40 candidates for number 7 all in column 42 (pointing): r112r118r124r125r128 c42 <> 7 r25 c37 n28 block 40 candidates for number 28 all in column 37 (pointing): r25 c37 <> 28 r98 c109 n36 r103 c109 n36 r108 c109 n36 r127 c109 n36 r133 c109 n36 r134 c109 n36 r136 c109 n36 r141 c109 n36 r144 c109 n36 block 46 candidates for number 36 all in column 109 (pointing): r98r103r108r127r133r134r136r141r144 c109 <> 36 r132 c121 n58 r134 c121 n58 r138 c121 n58 block 47 candidates for number 58 all in column 121 (pointing): r132r134r138 c121 <> 58 r50 c144 n16 r57 c144 n16 block 48 candidates for number 16 all in column 144 (pointing): r50r57 c144 <> 16 r102 c45 n41 block 52 candidates for number 41 all in column 45 (pointing): r102 c45 <> 41 r103 c57 n11 r105 c57 n11 block 53 candidates for number 11 all in column 57 (pointing): r103r105 c57 <> 11 r87 c71 n10 r91 c71 n10 r92 c71 n10 r93 c71 n10 block 54 candidates for number 10 all in column 71 (pointing): r87r91r92r93 c71 <> 10 r144 c64 n66 block 54 candidates for number 66 all in column 64 (pointing): r144 c64 <> 66 r125 c102 n137 r127 c102 n137 block 57 candidates for number 137 all in column 102 (pointing): r125r127 c102 <> 137 r100 c126 n6 r101 c126 n6 r102 c126 n6 r105 c126 n6 r107 c126 n6 r133 c126 n6 r136 c126 n6 r138 c126 n6 r141 c126 n6 block 59 candidates for number 6 all in column 126 (pointing): r100r101r102r105r107r133r136r138r141 c126 <> 6 r20 c125 n13 r135 c125 n13 r141 c125 n13 r142 c125 n13 r143 c125 n13 block 59 candidates for number 13 all in column 125 (pointing): r20r135r141r142r143 c125 <> 13 r1 c33 n59 r3 c33 n59 r16 c33 n59 r18 c33 n59 r19 c33 n59 r23 c33 n59 r24 c33 n59 r31 c33 n59 r32 c33 n59 block 63 candidates for number 59 all in column 33 (pointing): r1r3r16r18r19r23r24r31r32 c33 <> 59 r141 c55 n89 r144 c55 n89 block 65 candidates for number 89 all in column 55 (pointing): r141r144 c55 <> 89 r93 c109 n3 r107 c109 n3 r108 c109 n3 block 70 candidates for number 3 all in column 109 (pointing): r93r107r108 c109 <> 3 r52 c109 n15 r57 c109 n15 r59 c109 n15 block 70 candidates for number 15 all in column 109 (pointing): r52r57r59 c109 <> 15 r56 c110 n28 r87 c110 n28 r88 c110 n28 r130 c110 n28 block 70 candidates for number 28 all in column 110 (pointing): r56r87r88r130 c110 <> 28 r22 c109 n76 block 70 candidates for number 76 all in column 109 (pointing): r22 c109 <> 76 r89 c119 n117 r93 c119 n117 r98 c119 n117 r105 c119 n117 r138 c119 n117 r144 c119 n117 block 70 candidates for number 117 all in column 119 (pointing): r89r93r98r105r138r144 c119 <> 117 r118 c124 n110 block 71 candidates for number 110 all in column 124 (pointing): r118 c124 <> 110 r136 c16 n108 block 74 candidates for number 108 all in column 16 (pointing): r136 c16 <> 108 r123 c54 n131 r125 c54 n131 block 77 candidates for number 131 all in column 54 (pointing): r123r125 c54 <> 131 r49 c91 n137 r52 c91 n137 r56 c91 n137 r57 c91 n137 r64 c91 n137 r65 c91 n137 r71 c91 n137 r97 c91 n137 r98 c91 n137 r100 c91 n137 r104 c91 n137 block 80 candidates for number 137 all in column 91 (pointing): r49r52r56r57r64r65r71r97r98r100r104 c91 <> 137 r14 c99 n59 r31 c99 n59 r32 c99 n59 r97 c99 n59 block 81 candidates for number 59 all in column 99 (pointing): r14r31r32r97 c99 <> 59 r97 c99 n115 r98 c99 n115 block 81 candidates for number 115 all in column 99 (pointing): r97r98 c99 <> 115 r62 c120 n45 block 82 candidates for number 45 all in column 120 (pointing): r62 c120 <> 45 r106 c116 n139 r133 c116 n139 r134 c116 n139 r135 c116 n139 r140 c116 n139 r141 c116 n139 block 82 candidates for number 139 all in column 116 (pointing): r106r133r134r135r140r141 c116 <> 139 r49 c35 n142 block 87 candidates for number 142 all in column 35 (pointing): r49 c35 <> 142 r101 c53 n35 r102 c53 n35 r105 c53 n35 block 89 candidates for number 35 all in column 53 (pointing): r101r102r105 c53 <> 35 r102 c53 n78 r105 c53 n78 r106 c53 n78 block 89 candidates for number 78 all in column 53 (pointing): r102r105r106 c53 <> 78 r97 c106 n87 r100 c106 n87 r101 c106 n87 r104 c106 n87 r105 c106 n87 r108 c106 n87 r121 c106 n87 r129 c106 n87 r131 c106 n87 block 93 candidates for number 87 all in column 106 (pointing): r97r100r101r104r105r108r121r129r131 c106 <> 87 r100 c117 n3 r101 c117 n3 r108 c117 n3 block 94 candidates for number 3 all in column 117 (pointing): r100r101r108 c117 <> 3 r56 c16 n9 block 98 candidates for number 9 all in column 16 (pointing): r56 c16 <> 9 r52 c120 n16 r58 c120 n16 r59 c120 n16 block 106 candidates for number 16 all in column 120 (pointing): r52r58r59 c120 <> 16 r50 c15 n106 r54 c15 n106 r59 c15 n106 block 110 candidates for number 106 all in column 15 (pointing): r50r54r59 c15 <> 106 r128 c40 n7 r130 c40 n7 block 112 candidates for number 7 all in column 40 (pointing): r128r130 c40 <> 7 r52 c50 n42 r53 c50 n42 r54 c50 n42 r58 c50 n42 block 113 candidates for number 42 all in column 50 (pointing): r52r53r54r58 c50 <> 42 r125 c53 n134 r130 c53 n134 block 113 candidates for number 134 all in column 53 (pointing): r125r130 c53 <> 134 r38 c94 n16 r42 c94 n16 r50 c94 n16 r54 c94 n16 r59 c94 n16 r93 c94 n16 block 116 candidates for number 16 all in column 94 (pointing): r38r42r50r54r59r93 c94 <> 16 r123 c105 n83 block 117 candidates for number 83 all in column 105 (pointing): r123 c105 <> 83 r62 c105 n138 r64 c105 n138 r87 c105 n138 r88 c105 n138 block 117 candidates for number 138 all in column 105 (pointing): r62r64r87r88 c105 <> 138 r53 c107 n140 r57 c107 n140 r125 c107 n140 block 117 candidates for number 140 all in column 107 (pointing): r53r57r125 c107 <> 140 r98 c125 n10 r100 c125 n10 r108 c125 n10 block 119 candidates for number 10 all in column 125 (pointing): r98r100r108 c125 <> 10 r30 c139 n62 r32 c139 n62 r102 c139 n62 r140 c139 n62 r141 c139 n62 r144 c139 n62 block 120 candidates for number 62 all in column 139 (pointing): r30r32r102r140r141r144 c139 <> 62 r50 c22 n13 block 122 candidates for number 13 all in column 22 (pointing): r50 c22 <> 13 r49 c22 n116 r52 c22 n116 r54 c22 n116 block 122 candidates for number 116 all in column 22 (pointing): r49r52r54 c22 <> 116 r58 c43 n95 r133 c43 n95 r134 c43 n95 r135 c43 n95 r136 c43 n95 r141 c43 n95 r142 c43 n95 block 124 candidates for number 95 all in column 43 (pointing): r58r133r134r135r136r141r142 c43 <> 95 r49 c49 n40 r58 c49 n40 block 125 candidates for number 40 all in column 49 (pointing): r49r58 c49 <> 40 r97 c56 n55 r99 c56 n55 block 125 candidates for number 55 all in column 56 (pointing): r97r99 c56 <> 55 r135 c61 n7 r142 c61 n7 block 126 candidates for number 7 all in column 61 (pointing): r135r142 c61 <> 7 r62 c61 n88 r64 c61 n88 r134 c61 n88 r135 c61 n88 r142 c61 n88 block 126 candidates for number 88 all in column 61 (pointing): r62r64r134r135r142 c61 <> 88 r138 c78 n134 r141 c78 n134 r143 c78 n134 block 127 candidates for number 134 all in column 78 (pointing): r138r141r143 c78 <> 134 r19 c95 n22 r53 c95 n22 r56 c95 n22 r57 c95 n22 r61 c95 n22 r63 c95 n22 r64 c95 n22 r65 c95 n22 r110 c95 n22 r114 c95 n22 r117 c95 n22 block 128 candidates for number 22 all in column 95 (pointing): r19r53r56r57r61r63r64r65r110r114r117 c95 <> 22 r87 c104 n78 r91 c104 n78 r95 c104 n78 block 129 candidates for number 78 all in column 104 (pointing): r87r91r95 c104 <> 78 r71 c98 n135 r72 c98 n135 block 129 candidates for number 135 all in column 98 (pointing): r71r72 c98 <> 135 r98 c113 n36 r103 c113 n36 r133 c113 n36 r134 c113 n36 r136 c113 n36 r138 c113 n36 block 130 candidates for number 36 all in column 113 (pointing): r98r103r133r134r136r138 c113 <> 36 r56 c129 n74 block 131 candidates for number 74 all in column 129 (pointing): r56 c129 <> 74 r75 c48 n72 block 136 candidates for number 72 all in column 48 (pointing): r75 c48 <> 72 r54 c51 n16 r58 c51 n16 r59 c51 n16 r123 c51 n16 block 137 candidates for number 16 all in column 51 (pointing): r54r58r59r123 c51 <> 16 r53 c83 n43 block 139 candidates for number 43 all in column 83 (pointing): r53 c83 <> 43 r98 c115 n36 r103 c115 n36 r108 c115 n36 block 142 candidates for number 36 all in column 115 (pointing): r98r103r108 c115 <> 36 r50 c112 n58 r51 c112 n58 r59 c112 n58 block 142 candidates for number 58 all in column 112 (pointing): r50r51r59 c112 <> 58 r52 c130 n116 r56 c130 n116 r58 c130 n116 block 143 candidates for number 116 all in column 130 (pointing): r52r56r58 c130 <> 116 r3 c26 n46 r3 c28 n46 r3 c30 n46 r3 c33 n46 r3 c36 n46 r12 c25 n46 r12 c26 n46 r12 c27 n46 r12 c30 n46 row 2 candidates for number 46 all in block 3 (claiming): r3c26 r3c28 r3c30 r3c33 r3c36 r12c25 r12c26 r12c27 r12c30 <> 46 r3 c86 n73 r3 c88 n73 r3 c92 n73 r8 c90 n73 r8 c92 n73 r12 c86 n73 r12 c92 n73 r12 c94 n73 row 6 candidates for number 73 all in block 8 (claiming): r3c86 r3c88 r3c92 r8c90 r8c92 r12c86 r12c92 r12c94 <> 73 r1 c141 n79 r1 c143 n79 r1 c144 n79 r6 c141 n79 row 7 candidates for number 79 all in block 12 (claiming): r1c141 r1c143 r1c144 r6c141 <> 79 r18 c62 n13 r20 c68 n13 r20 c69 n13 r20 c71 n13 row 16 candidates for number 13 all in block 18 (claiming): r18c62 r20c68 r20c69 r20c71 <> 13 r15 c11 n34 r24 c9 n34 r24 c10 n34 row 18 candidates for number 34 all in block 13 (claiming): r15c11 r24c9 r24c10 <> 34 r14 c29 n50 r14 c30 n50 r14 c31 n50 r14 c36 n50 r20 c28 n50 r20 c31 n50 r20 c36 n50 row 23 candidates for number 50 all in block 15 (claiming): r14c29 r14c30 r14c31 r14c36 r20c28 r20c31 r20c36 <> 50 r29 c121 n106 r29 c125 n106 r29 c126 n106 r29 c127 n106 r29 c128 n106 r32 c124 n106 row 31 candidates for number 106 all in block 35 (claiming): r29c121 r29c125 r29c126 r29c127 r29c128 r32c124 <> 106 r25 c65 n16 r26 c61 n16 row 33 candidates for number 16 all in block 30 (claiming): r25c65 r26c61 <> 16 r29 c25 n91 r29 c33 n91 r29 c35 n91 r30 c25 n91 r30 c30 n91 row 33 candidates for number 91 all in block 27 (claiming): r29c25 r29c33 r29c35 r30c25 r30c30 <> 91 r40 c123 n35 r40 c128 n35 row 37 candidates for number 35 all in block 47 (claiming): r40c123 r40c128 <> 35 r41 c89 n16 r41 c96 n16 r42 c89 n16 r42 c96 n16 r47 c85 n16 r47 c96 n16 row 38 candidates for number 16 all in block 44 (claiming): r41c89 r41c96 r42c89 r42c96 r47c85 r47c96 <> 16 r46 c66 n36 row 44 candidates for number 36 all in block 42 (claiming): r46c66 <> 36 r38 c26 n54 r38 c34 n54 r47 c26 n54 r47 c27 n54 row 45 candidates for number 54 all in block 39 (claiming): r38c26 r38c34 r47c26 r47c27 <> 54 r38 c37 n89 r38 c40 n89 r47 c42 n89 row 46 candidates for number 89 all in block 40 (claiming): r38c37 r38c40 r47c42 <> 89 r40 c25 n46 r40 c28 n46 r40 c33 n46 r40 c36 n46 r43 c25 n46 r43 c26 n46 r43 c27 n46 r43 c28 n46 r43 c29 n46 r43 c30 n46 r43 c36 n46 row 47 candidates for number 46 all in block 39 (claiming): r40c25 r40c28 r40c33 r40c36 r43c25 r43c26 r43c27 r43c28 r43c29 r43c30 r43c36 <> 46 r54 c110 n54 r54 c111 n54 r59 c115 n54 row 52 candidates for number 54 all in block 58 (claiming): r54c110 r54c111 r59c115 <> 54 r58 c1 n110 r58 c9 n110 r58 c11 n110 r58 c12 n110 r59 c1 n110 r59 c7 n110 r59 c11 n110 r59 c12 n110 row 52 candidates for number 110 all in block 49 (claiming): r58c1 r58c9 r58c11 r58c12 r59c1 r59c7 r59c11 r59c12 <> 110 r54 c95 n132 r56 c85 n132 r56 c95 n132 row 60 candidates for number 132 all in block 56 (claiming): r54c95 r56c85 r56c95 <> 132 r64 c27 n57 r65 c34 n57 r65 c36 n57 row 66 candidates for number 57 all in block 63 (claiming): r64c27 r65c34 r65c36 <> 57 r63 c135 n115 r64 c134 n115 r64 c135 n115 r64 c137 n115 r64 c138 n115 row 66 candidates for number 115 all in block 72 (claiming): r63c135 r64c134 r64c135 r64c137 r64c138 <> 115 r61 c31 n15 r61 c34 n15 r62 c25 n15 r62 c26 n15 r62 c30 n15 r62 c31 n15 r62 c33 n15 r62 c36 n15 row 68 candidates for number 15 all in block 63 (claiming): r61c31 r61c34 r62c25 r62c26 r62c30 r62c31 r62c33 r62c36 <> 15 r65 c26 n7 row 70 candidates for number 7 all in block 63 (claiming): r65c26 <> 7 r61 c28 n92 r61 c31 n92 r62 c31 n92 r62 c36 n92 r72 c28 n92 r72 c29 n92 r72 c31 n92 r72 c36 n92 row 70 candidates for number 92 all in block 63 (claiming): r61c28 r61c31 r62c31 r62c36 r72c28 r72c29 r72c31 r72c36 <> 92 r71 c109 n137 r71 c110 n137 row 70 candidates for number 137 all in block 70 (claiming): r71c109 r71c110 <> 137 r61 c62 n25 r61 c70 n25 r61 c72 n25 r65 c72 n25 row 72 candidates for number 25 all in block 66 (claiming): r61c62 r61c70 r61c72 r65c72 <> 25 r74 c1 n24 r74 c4 n24 r77 c1 n24 r77 c3 n24 r77 c5 n24 r78 c1 n24 row 73 candidates for number 24 all in block 73 (claiming): r74c1 r74c4 r77c1 r77c3 r77c5 r78c1 <> 24 r75 c86 n84 r75 c92 n84 r75 c94 n84 r78 c89 n84 row 77 candidates for number 84 all in block 80 (claiming): r75c86 r75c92 r75c94 r78c89 <> 84 r77 c1 n33 r77 c5 n33 r77 c10 n33 r77 c11 n33 r79 c11 n33 r79 c12 n33 row 80 candidates for number 33 all in block 73 (claiming): r77c1 r77c5 r77c10 r77c11 r79c11 r79c12 <> 33 r78 c137 n91 r78 c140 n91 r78 c142 n91 r78 c143 n91 r82 c140 n91 row 83 candidates for number 91 all in block 84 (claiming): r78c137 r78c140 r78c142 r78c143 r82c140 <> 91 r87 c26 n21 r87 c31 n21 r87 c35 n21 r87 c36 n21 r96 c26 n21 r96 c36 n21 row 88 candidates for number 21 all in block 87 (claiming): r87c26 r87c31 r87c35 r87c36 r96c26 r96c36 <> 21 r95 c3 n42 r95 c7 n42 row 90 candidates for number 42 all in block 85 (claiming): r95c3 r95c7 <> 42 r115 c86 n116 r115 c90 n116 r115 c92 n116 row 111 candidates for number 116 all in block 116 (claiming): r115c86 r115c90 r115c92 <> 116 r114 c87 n129 r114 c88 n129 r114 c93 n129 r114 c94 n129 r114 c95 n129 r118 c94 n129 r118 c95 n129 row 116 candidates for number 129 all in block 116 (claiming): r114c87 r114c88 r114c93 r114c94 r114c95 r118c94 r118c95 <> 129 r111 c123 n7 r111 c126 n7 r111 c127 n7 r112 c125 n7 r114 c126 n7 r114 c130 n7 row 118 candidates for number 7 all in block 119 (claiming): r111c123 r111c126 r111c127 r112c125 r114c126 r114c130 <> 7 r122 c26 n40 r122 c29 n40 r122 c34 n40 r124 c27 n40 r126 c27 n40 r126 c29 n40 r126 c36 n40 r128 c28 n40 r128 c29 n40 r128 c33 n40 r128 c36 n40 row 130 candidates for number 40 all in block 123 (claiming): r122c26 r122c29 r122c34 r124c27 r126c27 r126c29 r126c36 r128c28 r128c29 r128c33 r128c36 <> 40 r142 c136 n40 r144 c134 n40 r144 c136 n40 row 139 candidates for number 40 all in block 144 (claiming): r142c136 r144c134 r144c136 <> 40 r123 c2 n26 r126 c2 n26 r126 c10 n26 r127 c10 n26 r132 c10 n26 column 6 candidates for number 26 all in block 121 (claiming): r123c2 r126c2 r126c10 r127c10 r132c10 <> 26 r135 c15 n13 column 14 candidates for number 13 all in block 134 (claiming): r135c15 <> 13 r50 c15 n104 r50 c17 n104 r51 c15 n104 r53 c17 n104 r55 c17 n104 column 21 candidates for number 104 all in block 50 (claiming): r50c15 r50c17 r51c15 r53c17 r55c17 <> 104 r134 c20 n45 r135 c15 n45 r137 c20 n45 r138 c20 n45 r143 c20 n45 r144 c15 n45 column 23 candidates for number 45 all in block 134 (claiming): r134c20 r135c15 r137c20 r138c20 r143c20 r144c15 <> 45 r43 c27 n36 r43 c28 n36 column 25 candidates for number 36 all in block 39 (claiming): r43c27 r43c28 <> 36 r102 c51 n65 column 49 candidates for number 65 all in block 101 (claiming): r102c51 <> 65 r27 c59 n92 r29 c59 n92 r31 c59 n92 column 49 candidates for number 92 all in block 29 (claiming): r27c59 r29c59 r31c59 <> 92 r98 c52 n73 r98 c55 n73 r100 c55 n73 r100 c58 n73 r105 c52 n73 r105 c55 n73 r107 c55 n73 r107 c58 n73 column 50 candidates for number 73 all in block 101 (claiming): r98c52 r98c55 r100c55 r100c58 r105c52 r105c55 r107c55 r107c58 <> 73 r50 c55 n130 r50 c60 n130 r53 c55 n130 r58 c55 n130 r58 c60 n130 r59 c55 n130 r59 c60 n130 column 50 candidates for number 130 all in block 53 (claiming): r50c55 r50c60 r53c55 r58c55 r58c60 r59c55 r59c60 <> 130 r50 c55 n106 r53 c55 n106 r57 c55 n106 r58 c55 n106 r59 c54 n106 r59 c55 n106 r60 c54 n106 column 52 candidates for number 106 all in block 53 (claiming): r50c55 r53c55 r57c55 r58c55 r59c54 r59c55 r60c54 <> 106 r98 c51 n117 r100 c58 n117 r100 c59 n117 r102 c51 n117 r102 c59 n117 r103 c51 n117 r103 c59 n117 column 54 candidates for number 117 all in block 101 (claiming): r98c51 r100c58 r100c59 r102c51 r102c59 r103c51 r103c59 <> 117 r50 c59 n28 r53 c52 n28 r53 c59 n28 r56 c52 n28 r58 c52 n28 r58 c59 n28 column 55 candidates for number 28 all in block 53 (claiming): r50c59 r53c52 r53c59 r56c52 r58c52 r58c59 <> 28 r99 c55 n84 r101 c53 n84 r101 c55 n84 r102 c53 n84 r102 c55 n84 r107 c55 n84 column 56 candidates for number 84 all in block 101 (claiming): r99c55 r101c53 r101c55 r102c53 r102c55 r107c55 <> 84 r98 c55 n132 r101 c55 n132 r102 c55 n132 r103 c57 n132 r105 c55 n132 r105 c57 n132 column 56 candidates for number 132 all in block 101 (claiming): r98c55 r101c55 r102c55 r103c57 r105c55 r105c57 <> 132 r61 c60 n43 r65 c49 n43 column 58 candidates for number 43 all in block 65 (claiming): r61c60 r65c49 <> 43 r25 c55 n54 r28 c60 n54 r29 c60 n54 r32 c60 n54 column 59 candidates for number 54 all in block 29 (claiming): r25c55 r28c60 r29c60 r32c60 <> 54 r133 c68 n6 r133 c71 n6 r136 c71 n6 r137 c71 n6 r138 c68 n6 r138 c71 n6 r139 c68 n6 r141 c71 n6 column 61 candidates for number 6 all in block 138 (claiming): r133c68 r133c71 r136c71 r137c71 r138c68 r138c71 r139c68 r141c71 <> 6 r53 c71 n26 r60 c71 n26 column 64 candidates for number 26 all in block 54 (claiming): r53c71 r60c71 <> 26 r134 c61 n16 r134 c66 n16 r136 c61 n16 r136 c65 n16 r136 c66 n16 r138 c61 n16 r138 c65 n16 r138 c66 n16 r140 c65 n16 column 68 candidates for number 16 all in block 138 (claiming): r134c61 r134c66 r136c61 r136c65 r136c66 r138c61 r138c65 r138c66 r140c65 <> 16 r99 c63 n35 r99 c66 n35 r99 c71 n35 r101 c63 n35 r101 c66 n35 r101 c71 n35 r102 c71 n35 r104 c66 n35 r105 c63 n35 r107 c63 n35 r107 c71 n35 column 70 candidates for number 35 all in block 102 (claiming): r99c63 r99c66 r99c71 r101c63 r101c66 r101c71 r102c71 r104c66 r105c63 r107c63 r107c71 <> 35 r113 c61 n92 r113 c67 n92 r113 c68 n92 r117 c68 n92 column 72 candidates for number 92 all in block 114 (claiming): r113c61 r113c67 r113c68 r117c68 <> 92 r55 c104 n111 r58 c101 n111 r58 c104 n111 r59 c104 n111 column 99 candidates for number 111 all in block 57 (claiming): r55c104 r58c101 r58c104 r59c104 <> 111 r27 c98 n143 r32 c103 n143 r32 c107 n143 r36 c98 n143 column 99 candidates for number 143 all in block 33 (claiming): r27c98 r32c103 r32c107 r36c98 <> 143 r35 c104 n21 column 101 candidates for number 21 all in block 33 (claiming): r35c104 <> 21 r50 c103 n41 r54 c103 n41 r54 c105 n41 r56 c105 n41 column 102 candidates for number 41 all in block 57 (claiming): r50c103 r54c103 r54c105 r56c105 <> 41 r63 c104 n73 r64 c101 n73 r67 c104 n73 r67 c108 n73 r68 c108 n73 r72 c98 n73 r72 c101 n73 column 103 candidates for number 73 all in block 69 (claiming): r63c104 r64c101 r67c104 r67c108 r68c108 r72c98 r72c101 <> 73 r68 c97 n78 r69 c97 n78 column 103 candidates for number 78 all in block 69 (claiming): r68c97 r69c97 <> 78 r97 c103 n110 r99 c103 n110 r101 c108 n110 r102 c107 n110 r102 c108 n110 r104 c108 n110 r107 c108 n110 column 106 candidates for number 110 all in block 105 (claiming): r97c103 r99c103 r101c108 r102c107 r102c108 r104c108 r107c108 <> 110 r90 c99 n119 r90 c102 n119 r91 c99 n119 r91 c102 n119 r92 c102 n119 r93 c102 n119 column 106 candidates for number 119 all in block 93 (claiming): r90c99 r90c102 r91c99 r91c102 r92c102 r93c102 <> 119 r117 c108 n110 column 107 candidates for number 110 all in block 117 (claiming): r117c108 <> 110 r26 c112 n27 r29 c112 n27 r30 c111 n27 column 109 candidates for number 27 all in block 34 (claiming): r26c112 r29c112 r30c111 <> 27 r99 c113 n142 r99 c115 n142 r101 c113 n142 r101 c115 n142 r103 c113 n142 r103 c115 n142 r106 c113 n142 r107 c113 n142 r107 c115 n142 column 109 candidates for number 142 all in block 106 (claiming): r99c113 r99c115 r101c113 r101c115 r103c113 r103c115 r106c113 r107c113 r107c115 <> 142 r122 c114 n37 r123 c113 n37 r124 c113 n37 r129 c113 n37 column 111 candidates for number 37 all in block 130 (claiming): r122c114 r123c113 r124c113 r129c113 <> 37 r90 c110 n54 r93 c110 n54 column 111 candidates for number 54 all in block 94 (claiming): r90c110 r93c110 <> 54 r133 c115 n59 r133 c120 n59 r135 c115 n59 r144 c115 n59 column 111 candidates for number 59 all in block 142 (claiming): r133c115 r133c120 r135c115 r144c115 <> 59 r128 c119 n87 column 111 candidates for number 87 all in block 130 (claiming): r128c119 <> 87 r98 c113 n24 r99 c112 n24 r99 c113 n24 r100 c113 n24 r103 c113 n24 r107 c113 n24 column 117 candidates for number 24 all in block 106 (claiming): r98c113 r99c112 r99c113 r100c113 r103c113 r107c113 <> 24 r110 c110 n100 r110 c115 n100 column 118 candidates for number 100 all in block 118 (claiming): r110c110 r110c115 <> 100 r138 c127 n13 r141 c127 n13 r142 c127 n13 r143 c127 n13 column 129 candidates for number 13 all in block 143 (claiming): r138c127 r141c127 r142c127 r143c127 <> 13 r91 c136 n3 r91 c141 n3 r92 c136 n3 r93 c136 n3 r93 c141 n3 column 135 candidates for number 3 all in block 96 (claiming): r91c136 r91c141 r92c136 r93c136 r93c141 <> 3 r27 c142 n40 r30 c134 n40 r33 c134 n40 r36 c134 n40 column 136 candidates for number 40 all in block 36 (claiming): r27c142 r30c134 r33c134 r36c134 <> 40 r91 c141 n2 r92 c135 n2 r95 c135 n2 r95 c141 n2 r96 c141 n2 column 139 candidates for number 2 all in block 96 (claiming): r91c141 r92c135 r95c135 r95c141 r96c141 <> 2 r55 c135 n111 r55 c136 n111 r55 c143 n111 r56 c143 n111 r57 c143 n111 r58 c139 n111 r58 c143 n111 r59 c135 n111 r59 c140 n111 r59 c143 n111 column 142 candidates for number 111 all in block 60 (claiming): r55c135 r55c136 r55c143 r56c143 r57c143 r58c139 r58c143 r59c135 r59c140 r59c143 <> 111 r9 c87 n34 r9 c91 n34 r9 c91 n71 r9 c91 n72 hidden tuple of size 2 with numbers 21, 23 in row 9: r9c87 <> 34 r9c91 <> 34,71,72 r114 c107 n47 r114 c107 n74 r114 c107 n82 r117 c107 n47 r117 c107 n58 r117 c107 n116 hidden tuple of size 2 with numbers 102, 110 in column 107: r114c107 <> 47,74,82 r117c107 <> 47,58,116 r82 c120 n38 r82 c88 n53 r82 c123 n53 r82 c124 n53 r82 c128 n53 r82 c131 n53 r82 c31 n56 r82 c43 n56 r82 c110 n56 r82 c123 n56 r82 c124 n56 r82 c129 n56 naked tuple of size 3 at column positions 61, 117, 140 in row 82: r82c120 <> 38 r82c88 r82c123 r82c124 r82c128 r82c131 <> 53 r82c31 r82c43 r82c110 r82c123 r82c124 r82c129 <> 56 r9 c88 n9 r9 c88 n72 r9 c143 n6 r9 c143 n9 hidden tuple of size 3 with numbers 8, 34, 71 in row 9: r9c88 <> 9,72 r9c143 <> 6,9 r13 c57 n97 r13 c57 n121 r16 c49 n53 hidden tuple of size 3 with numbers 37, 63, 71 in block 17: r13c57 <> 97,121 r16c49 <> 53 r50 c15 n24 r50 c15 n45 r50 c15 n95 hidden tuple of size 3 with numbers 13, 30, 131 in block 50: r50c15 <> 24,45,95 r14 c49 n60 r19 c49 n60 r20 c49 n47 r20 c49 n60 hidden tuple of size 3 with numbers 19, 53, 116 in column 49: r14c49 <> 60 r19c49 <> 60 r20c49 <> 47,60 r6 c5 n9 r6 c141 n9 block 8 candidates for number 9 all in row 6 (pointing): r6 c5c141 <> 9 r3 c12 n72 block 8 candidates for number 72 all in row 3 (pointing): r3 c12 <> 72 r12 c5 n6 block 12 candidates for number 6 all in row 12 (pointing): r12 c5 <> 6 r5 c2 n9 r5 c12 n9 block 12 candidates for number 9 all in row 5 (pointing): r5 c2c12 <> 9 r115 c15 n116 block 117 candidates for number 116 all in row 115 (pointing): r115 c15 <> 116 r100 c58 n121 r101 c58 n121 block 17 candidates for number 121 all in column 58 (pointing): r100r101 c58 <> 121 r136 c16 n95 r141 c16 n95 block 50 candidates for number 95 all in column 16 (pointing): r136r141 c16 <> 95 r27 c129 n92 r31 c125 n92 r31 c128 n92 r31 c129 n92 r32 c122 n92 row 29 candidates for number 92 all in block 35 (claiming): r27c129 r31c125 r31c128 r31c129 r32c122 <> 92 r27 c101 n92 row 32 candidates for number 92 all in block 33 (claiming): r27c101 <> 92 r49 c20 n116 r52 c14 n116 r52 c20 n116 r58 c14 n116 column 15 candidates for number 116 all in block 50 (claiming): r49c20 r52c14 r52c20 r58c14 <> 116 r126 c67 n92 r130 c67 n92 r130 c68 n92 r132 c67 n92 column 61 candidates for number 92 all in block 126 (claiming): r126c67 r130c67 r130c68 r132c67 <> 92 r62 c114 n56 r64 c114 n56 r69 c114 n56 column 110 candidates for number 56 all in block 70 (claiming): r62c114 r64c114 r69c114 <> 56 r52 c6 n130 r52 c9 n130 r52 c11 n130 r52 c48 n130 r52 c50 n130 r52 c89 n130 r52 c31 n143 r52 c33 n143 r52 c85 n143 r52 c89 n143 r52 c95 n143 r52 c109 n143 r52 c121 n143 r52 c127 n143 r52 c128 n143 naked tuple of size 2 at column positions 14, 20 in row 52: r52c6 r52c9 r52c11 r52c48 r52c50 r52c89 <> 130 r52c31 r52c33 r52c85 r52c89 r52c95 r52c109 r52c121 r52c127 r52c128 <> 143 r133 c14 n4 r137 c14 n4 naked tuple of size 2 at row positions 52, 58 in column 14: r133c14 r137c14 <> 4 r58 c14 n130 naked tuple of size 2 at block positions 15, 38 in block 50: r58c14 <> 130 r50 c20 n143 naked tuple of size 2 at block positions 15, 44 in block 50: r50c20 <> 143 r56 c16 n4 r56 c17 n4 r58 c16 n4 r60 c17 n4 naked tuple of size 2 at block positions 15, 110 in block 50: r56c16 r56c17 r58c16 r60c17 <> 4 r117 c14 n35 hidden tuple of size 2 with numbers 47, 116 in column 14: r117c14 <> 35 r51 c15 n34 hidden tuple of size 2 with numbers 94, 116 in column 15: r51c15 <> 34 r56 c16 n33 r56 c16 n95 r56 c16 n144 hidden tuple of size 2 with numbers 4, 34 in block 50: r56c16 <> 33,95,144 r58 c16 n33 hidden tuple of size 2 with numbers 4, 95 in block 50: r58c16 <> 33 r55 c19 n21 r55 c19 n109 hidden tuple of size 2 with numbers 13, 33 in block 50: r55c19 <> 21,109 r58 c56 n4 r58 c59 n4 r58 c109 n4 r58 c111 n4 r58 c114 n4 r58 c115 n4 r58 c120 n4 r58 c137 n4 r58 c25 n95 r58 c31 n95 r58 c32 n95 r58 c64 n95 r58 c142 n95 r58 c143 n95 naked tuple of size 2 at column positions 14, 16 in row 58: r58c56 r58c59 r58c109 r58c111 r58c114 r58c115 r58c120 r58c137 <> 4 r58c25 r58c31 r58c32 r58c64 r58c142 r58c143 <> 95 r97 c16 n34 r100 c16 n34 r106 c16 n34 r107 c16 n34 naked tuple of size 2 at row positions 56, 58 in column 16: r97c16 r100c16 r106c16 r107c16 <> 34 r57 c19 n21 hidden tuple of size 2 with numbers 9, 109 in column 19: r57c19 <> 21 r137 c19 n33 r142 c19 n33 hidden tuple of size 2 with numbers 21, 97 in column 19: r137c19 <> 33 r142c19 <> 33 r54 c23 n86 r56 c23 n86 r56 c23 n134 hidden tuple of size 2 with numbers 21, 37 in block 50: r54c23 <> 86 r56c23 <> 86,134 r137 c23 n21 r138 c23 n21 r142 c23 n21 r143 c23 n21 naked tuple of size 2 at row positions 54, 56 in column 23: r137c23 r138c23 r142c23 r143c23 <> 21 r110 c20 n45 r134 c20 n134 r138 c20 n134 r143 c20 n134 naked tuple of size 3 at row positions 49, 50, 59 in column 20: r110c20 <> 45 r134c20 r138c20 r143c20 <> 134 r134 c20 n35 r138 c20 n35 r34 c20 n116 naked tuple of size 3 at row positions 52, 110, 117 in column 20: r134c20 r138c20 <> 35 r34c20 <> 116 r117 c20 n35 naked tuple of size 3 at row positions 91, 94, 110 in column 20: r117c20 <> 35 r117 c54 n47 r117 c59 n47 r117 c87 n47 r117 c88 n47 r117 c99 n47 naked tuple of size 2 at column positions 14, 20 in row 117: r117c54 r117c59 r117c87 r117c88 r117c99 <> 47 r117 c14 n116 r117 c54 n126 r117 c65 n126 r117 c68 n126 r117 c71 n126 r117 c91 n126 r117 c95 n126 naked tuple of size 2 at column positions 20, 99 in row 117: r117c14 <> 116 r117c54 r117c65 r117c68 r117c71 r117c91 r117c95 <> 126 r34 c14 n47 naked tuple of size 2 at row positions 52, 117 in column 14: r34c14 <> 47 r31 c99 n90 r32 c99 n90 r55 c99 n90 r91 c99 n90 r139 c99 n90 naked tuple of size 2 at row positions 2, 117 in column 99: r31c99 r32c99 r55c99 r91c99 r139c99 <> 90 r115 c15 n47 naked tuple of size 2 at block positions 20, 98 in block 110: r115c15 <> 47 r59 c15 n45 naked tuple of size 2 at row positions 115, 119 in column 15: r59c15 <> 45 r50 c17 n24 r55 c17 n24 r59 c17 n24 naked tuple of size 2 at block positions 15, 123 in block 50: r50c17 r55c17 r59c17 <> 24 r53 c17 n86 r56 c17 n86 naked tuple of size 2 at block positions 17, 38 in block 50: r53c17 r56c17 <> 86 r8 c17 n121 r100 c17 n4 r100 c17 n30 r100 c17 n31 r100 c17 n144 hidden tuple of size 2 with numbers 24, 104 in column 17: r8c17 <> 121 r100c17 <> 4,30,31,144 r78 c17 n86 hidden tuple of size 2 with numbers 31, 122 in column 17: r78c17 <> 86 r50 c12 n86 r50 c26 n86 r50 c30 n86 r50 c55 n86 r50 c57 n86 r50 c101 n86 r50 c104 n86 r50 c119 n86 naked tuple of size 2 at column positions 15, 17 in row 50: r50c12 r50c26 r50c30 r50c55 r50c57 r50c101 r50c104 r50c119 <> 86 r103 c15 n24 r104 c15 n24 naked tuple of size 2 at row positions 50, 59 in column 15: r103c15 r104c15 <> 24 r100 c17 n104 naked tuple of size 2 at row positions 8, 50 in column 17: r100c17 <> 104 r78 c23 n31 naked tuple of size 2 at block positions 53, 65 in block 74: r78c23 <> 31 r134 c20 n129 naked tuple of size 3 at row positions 31, 32, 34 in column 20: r134c20 <> 129 r8 c23 n104 naked tuple of size 3 at block positions 26, 89, 134 in block 2: r8c23 <> 104 r27 c15 n129 r31 c15 n129 r35 c15 n129 naked tuple of size 3 at block positions 80, 92, 116 in block 26: r27c15 r31c15 r35c15 <> 129 r119 c101 n126 naked tuple of size 3 at block positions 71, 99, 107 in block 117: r119c101 <> 126 r27 c15 n92 naked tuple of size 2 at row positions 31, 50 in column 15: r27c15 <> 92 r133 c23 n121 r138 c23 n121 r141 c23 n121 r142 c23 n121 naked tuple of size 2 at row positions 8, 78 in column 23: r133c23 r138c23 r141c23 r142c23 <> 121 r31 c49 n92 block 26 candidates for number 92 all in row 31 (pointing): r31 c49 <> 92 r59 c25 n24 r59 c26 n24 r59 c31 n24 r59 c40 n24 r59 c55 n24 r59 c106 n24 block 50 candidates for number 24 all in row 59 (pointing): r59 c25c26c31c40c55c106 <> 24 r55 c4 n33 r55 c10 n33 r55 c41 n33 r55 c61 n33 r55 c65 n33 r55 c97 n33 r55 c121 n33 r55 c124 n33 block 50 candidates for number 33 all in row 55 (pointing): r55 c4c10c41c61c65c97c121c124 <> 33 r56 c3 n34 r56 c4 n34 r56 c9 n34 r56 c10 n34 r56 c25 n34 r56 c27 n34 r56 c68 n34 r56 c87 n34 r56 c88 n34 r56 c91 n34 block 50 candidates for number 34 all in row 56 (pointing): r56 c3c4c9c10c25c27c68c87c88c91 <> 34 r100 c40 n24 r100 c42 n24 r100 c48 n24 r100 c64 n24 r100 c98 n24 r100 c103 n24 r100 c106 n24 r100 c117 n24 r100 c128 n24 r100 c140 n24 r100 c143 n24 block 98 candidates for number 24 all in row 100 (pointing): r100 c40c42c48c64c98c103c106c117c128c140c143 <> 24 r108 c38 n24 r108 c40 n24 r108 c41 n24 r108 c42 n24 r108 c68 n24 r108 c97 n24 r108 c106 n24 r108 c128 n24 r108 c131 n24 r108 c132 n24 r108 c137 n24 r108 c143 n24 block 106 candidates for number 24 all in row 108 (pointing): r108 c38c40c41c42c68c97c106c128c131c132c137c143 <> 24 r110 c4 n35 r110 c8 n35 r110 c63 n35 r110 c66 n35 r110 c115 n35 block 110 candidates for number 35 all in row 110 (pointing): r110 c4c8c63c66c115 <> 35 r120 c65 n126 r120 c67 n126 r120 c93 n126 block 113 candidates for number 126 all in row 120 (pointing): r120 c65c67c93 <> 126 r136 c16 n4 r140 c16 n4 r141 c16 n4 block 98 candidates for number 4 all in column 16 (pointing): r136r140r141 c16 <> 4 r2 c99 n126 block 117 candidates for number 126 all in column 99 (pointing): r2 c99 <> 126 r1 c31 n126 r1 c33 n126 row 2 candidates for number 126 all in block 3 (claiming): r1c31 r1c33 <> 126 r136 c16 n30 r140 c16 n30 r141 c16 n30 column 17 candidates for number 30 all in block 134 (claiming): r136c16 r140c16 r141c16 <> 30 r133 c54 n4 r140 c54 n4 r141 c54 n4 column 59 candidates for number 4 all in block 137 (claiming): r133c54 r140c54 r141c54 <> 4 r9 c108 n90 column 99 candidates for number 90 all in block 9 (claiming): r9c108 <> 90 r133 c105 n90 r134 c98 n90 r134 c105 n90 r137 c97 n90 r137 c98 n90 r139 c97 n90 r141 c97 n90 r142 c97 n90 column 108 candidates for number 90 all in block 141 (claiming): r133c105 r134c98 r134c105 r137c97 r137c98 r139c97 r141c97 r142c97 <> 90 r9 c36 n97 naked tuple of size 2 at column positions 95, 108 in row 9: r9c36 <> 97 r139 c16 n33 naked tuple of size 2 at row positions 56, 140 in column 16: r139c16 <> 33 r136 c16 n90 r141 c16 n90 naked tuple of size 2 at row positions 58, 139 in column 16: r136c16 r141c16 <> 90 r4 c103 n110 naked tuple of size 2 at block positions 15, 108 in block 9: r4c103 <> 110 r5 c108 n3 r5 c98 n143 r5 c103 n143 naked tuple of size 2 at block positions 43, 59 in block 9: r5c108 <> 3 r5c98 r5c103 <> 143 r5 c107 n143 naked tuple of size 2 at block positions 43, 108 in block 9: r5c107 <> 143 r9 c95 n110 hidden tuple of size 2 with numbers 90, 97 in row 9: r9c95 <> 110 r1 c101 n79 hidden tuple of size 2 with numbers 3, 126 in block 9: r1c101 <> 79 r117 c115 n5 r117 c115 n94 r117 c115 n102 r117 c115 n122 r117 c115 n137 r118 c117 n34 r118 c117 n44 hidden tuple of size 2 with numbers 35, 67 in block 118: r117c115 <> 5,94,102,122,137 r118c117 <> 34,44 r100 c117 n67 r100 c117 n118 r100 c117 n120 r100 c117 n121 r100 c117 n128 r100 c117 n136 r108 c117 n2 r108 c117 n8 r108 c117 n11 r108 c117 n44 r108 c117 n67 r108 c117 n75 r108 c117 n120 r108 c117 n121 hidden tuple of size 2 with numbers 24, 34 in column 117: r100c117 <> 67,118,120,121,128,136 r108c117 <> 2,8,11,44,67,75,120,121 r114 c109 n44 r114 c109 n119 r114 c109 n137 r118 c109 n44 r118 c109 n107 hidden tuple of size 2 with numbers 34, 129 in block 118: r114c109 <> 44,119,137 r118c109 <> 44,107 r110 c118 n1 r110 c118 n125 r110 c118 n127 r110 c118 n137 r113 c118 n127 r113 c118 n131 hidden tuple of size 2 with numbers 100, 107 in block 118: r110c118 <> 1,125,127,137 r113c118 <> 127,131 r112 c118 n1 r112 c118 n137 r113 c118 n100 hidden tuple of size 2 with numbers 107, 127 in block 118: r112c118 <> 1,137 r113c118 <> 100 r100 c4 n34 r100 c10 n34 r100 c11 n34 r100 c25 n34 r100 c27 n34 r100 c30 n34 r100 c34 n34 r100 c62 n34 r100 c98 n34 r100 c103 n34 r100 c104 n34 r100 c107 n34 r100 c110 n34 naked tuple of size 2 at column positions 17, 117 in row 100: r100c4 r100c10 r100c11 r100c25 r100c27 r100c30 r100c34 r100c62 r100c98 r100c103 r100c104 r100c107 r100c110 <> 34 r110 c64 n100 r110 c121 n100 naked tuple of size 2 at column positions 20, 118 in row 110: r110c64 r110c121 <> 100 r112 c1 n41 r112 c2 n41 r112 c11 n41 r112 c12 n41 r112 c94 n41 r112 c62 n127 r112 c88 n127 naked tuple of size 2 at column positions 92, 118 in row 112: r112c1 r112c2 r112c11 r112c12 r112c94 <> 41 r112c62 r112c88 <> 127 r32 c109 n34 r103 c109 n34 r106 c109 n34 r107 c109 n34 naked tuple of size 2 at row positions 114, 118 in column 109: r32c109 r103c109 r106c109 r107c109 <> 34 r54 c118 n107 r55 c118 n107 r99 c118 n107 r101 c118 n107 r107 c118 n107 r25 c118 n143 r27 c118 n143 r36 c118 n143 r50 c118 n143 r54 c118 n143 r58 c118 n143 naked tuple of size 2 at row positions 84, 113 in column 118: r54c118 r55c118 r99c118 r101c118 r107c118 <> 107 r25c118 r27c118 r36c118 r50c118 r54c118 r58c118 <> 143 r84 c118 n107 naked tuple of size 2 at row positions 110, 113 in column 118: r84c118 <> 107 r99 c110 n34 r103 c110 n34 r107 c110 n34 naked tuple of size 2 at block positions 45, 141 in block 106: r99c110 r103c110 r107c110 <> 34 r27 c49 n122 r27 c49 n128 r27 c66 n30 r27 c66 n75 r27 c66 n122 hidden tuple of size 2 with numbers 92, 143 in row 27: r27c49 <> 122,128 r27c66 <> 30,75,122 r17 c103 n143 r19 c103 n143 r20 c103 n143 r100 c103 n143 r103 c103 n143 naked tuple of size 3 at row positions 4, 74, 79 in column 103: r17c103 r19c103 r20c103 r100c103 r103c103 <> 143 r100 c107 n3 r105 c107 n3 r121 c107 n3 r126 c107 n3 r127 c107 n3 r134 c107 n3 naked tuple of size 3 at row positions 5, 114, 117 in column 107: r100c107 r105c107 r121c107 r126c107 r127c107 r134c107 <> 3 r3 c91 n97 r3 c92 n97 r8 c90 n97 r8 c92 n97 naked tuple of size 3 at block positions 99, 103, 107 in block 8: r3c91 r3c92 r8c90 r8c92 <> 97 r26 c110 n22 r26 c110 n42 r26 c110 n60 r26 c110 n136 hidden tuple of size 3 with numbers 34, 108, 129 in block 34: r26c110 <> 22,42,60,136 r3 c65 n110 r3 c66 n110 r3 c68 n110 r3 c70 n110 r3 c137 n110 r3 c144 n110 block 8 candidates for number 110 all in row 3 (pointing): r3 c65c66c68c70c137c144 <> 110 r2 c26 n90 r2 c31 n90 r2 c33 n90 r2 c36 n90 block 9 candidates for number 90 all in row 2 (pointing): r2 c26c31c33c36 <> 90 r4 c144 n143 block 9 candidates for number 143 all in row 4 (pointing): r4 c144 <> 143 r26 c60 n34 r26 c72 n34 block 34 candidates for number 34 all in row 26 (pointing): r26 c60c72 <> 34 r117 c1 n44 r117 c4 n44 r117 c5 n44 r117 c12 n44 r117 c68 n44 block 118 candidates for number 44 all in row 117 (pointing): r117 c1c4c5c12c68 <> 44 r113 c53 n107 r113 c57 n107 r113 c85 n107 r113 c87 n107 r113 c93 n107 r113 c94 n107 block 118 candidates for number 107 all in row 113 (pointing): r113 c53c57c85c87c93c94 <> 107 r112 c92 n127 block 118 candidates for number 127 all in row 112 (pointing): r112 c92 <> 127 r140 c65 n33 r140 c71 n33 r140 c124 n33 r140 c127 n33 r140 c129 n33 block 134 candidates for number 33 all in row 140 (pointing): r140 c65c71c124c127c129 <> 33 r139 c7 n90 r139 c30 n90 r139 c40 n90 r139 c46 n90 r139 c48 n90 block 134 candidates for number 90 all in row 139 (pointing): r139 c7c30c40c46c48 <> 90 r135 c4 n90 r135 c9 n90 r135 c26 n90 r135 c30 n90 r135 c32 n90 r135 c36 n90 r135 c43 n90 r135 c47 n90 r135 c87 n90 r135 c94 n90 r135 c110 n90 block 141 candidates for number 90 all in row 135 (pointing): r135 c4c9c26c30c32c36c43c47c87c94c110 <> 90 r32 c36 n90 r43 c36 n90 r72 c36 n90 r84 c36 n90 r101 c36 n90 r102 c36 n90 r103 c36 n90 r134 c36 n90 r136 c36 n90 r137 c36 n90 r141 c36 n90 r142 c36 n90 block 3 candidates for number 90 all in column 36 (pointing): r32r43r72r84r101r102r103r134r136r137r141r142 c36 <> 90 r98 c67 n110 r104 c67 n110 r107 c67 n110 r111 c67 n110 r137 c67 n110 r138 c67 n110 block 6 candidates for number 110 all in column 67 (pointing): r98r104r107r111r137r138 c67 <> 110 r53 c95 n97 r54 c95 n97 r56 c95 n97 r59 c95 n97 r87 c95 n97 r89 c95 n97 r95 c95 n97 r103 c95 n97 r104 c95 n97 r134 c95 n97 r138 c95 n97 r142 c95 n97 block 8 candidates for number 97 all in column 95 (pointing): r53r54r56r59r87r89r95r103r104r134r138r142 c95 <> 97 r61 c108 n110 r67 c108 n110 block 9 candidates for number 110 all in column 108 (pointing): r61r67 c108 <> 110 r100 c98 n143 r103 c98 n143 r105 c98 n143 block 21 candidates for number 143 all in column 98 (pointing): r100r103r105 c98 <> 143 r57 c109 n107 r59 c109 n107 r107 c109 n107 block 82 candidates for number 107 all in column 109 (pointing): r57r59r107 c109 <> 107 r123 c120 n131 r124 c120 n131 r139 c120 n131 r142 c120 n131 block 118 candidates for number 131 all in column 120 (pointing): r123r124r139r142 c120 <> 131 r8 c136 n110 row 4 candidates for number 110 all in block 12 (claiming): r8c136 <> 110 r25 c65 n143 r28 c66 n143 r28 c71 n143 r32 c61 n143 r32 c65 n143 r32 c66 n143 row 27 candidates for number 143 all in block 30 (claiming): r25c65 r28c66 r28c71 r32c61 r32c65 r32c66 <> 143 r118 c81 n110 row 111 candidates for number 110 all in block 115 (claiming): r118c81 <> 110 r118 c94 n41 row 112 candidates for number 41 all in block 116 (claiming): r118c94 <> 41 r110 c64 n127 r110 c65 n127 r110 c66 n127 row 113 candidates for number 127 all in block 114 (claiming): r110c64 r110c65 r110c66 <> 127 r114 c65 n110 r117 c65 n110 r117 c66 n110 r117 c68 n110 row 118 candidates for number 110 all in block 114 (claiming): r114c65 r117c65 r117c66 r117c68 <> 110 r32 c92 n41 r33 c92 n41 column 94 candidates for number 41 all in block 32 (claiming): r32c92 r33c92 <> 41 r84 c109 n143 column 118 candidates for number 143 all in block 82 (claiming): r84c109 <> 143 r117 c2 n78 r117 c4 n78 r117 c8 n78 r117 c87 n78 r117 c88 n78 r117 c95 n78 r117 c125 n78 naked tuple of size 2 at column positions 14, 65 in row 117: r117c2 r117c4 r117c8 r117c87 r117c88 r117c95 r117c125 <> 78 r117 c87 n53 r117 c88 n53 r117 c123 n53 r117 c130 n53 naked tuple of size 2 at column positions 14, 125 in row 117: r117c87 r117c88 r117c123 r117c130 <> 53 r118 c37 n42 r118 c43 n42 r118 c44 n42 r118 c47 n42 r118 c50 n42 r118 c134 n42 r118 c105 n54 naked tuple of size 2 at column positions 81, 98 in row 118: r118c37 r118c43 r118c44 r118c47 r118c50 r118c134 <> 42 r118c105 <> 54 r8 c67 n30 r8 c67 n36 r8 c67 n75 r8 c67 n91 hidden tuple of size 2 with numbers 104, 110 in row 8: r8c67 <> 30,36,75,91 r118 c68 n29 r118 c68 n34 r118 c68 n44 r118 c68 n130 r118 c98 n42 hidden tuple of size 2 with numbers 54, 110 in row 118: r118c68 <> 29,34,44,130 r118c98 <> 42 r135 c108 n3 r135 c108 n14 r135 c108 n19 r135 c108 n39 r135 c108 n131 r135 c108 n133 r135 c108 n138 hidden tuple of size 2 with numbers 90, 110 in column 108: r135c108 <> 3,14,19,39,131,133,138 r109 c67 n78 r110 c65 n78 r111 c67 n78 naked tuple of size 2 at block positions 101, 116 in block 114: r109c67 r110c65 r111c67 <> 78 r35 c67 n27 r35 c67 n30 r35 c67 n69 r35 c67 n75 r35 c67 n111 r35 c67 n112 r35 c67 n123 r35 c67 n134 hidden tuple of size 2 with numbers 78, 110 in column 67: r35c67 <> 27,30,69,75,111,112,123,134 r35 c64 n30 r35 c64 n75 r35 c64 n111 r35 c64 n120 r35 c64 n123 r35 c64 n127 hidden tuple of size 2 with numbers 112, 143 in block 30: r35c64 <> 30,75,111,120,123,127 r35 c35 n78 r35 c36 n78 r35 c65 n78 r35 c86 n78 r35 c88 n78 r35 c89 n78 r35 c95 n78 r35 c132 n78 naked tuple of size 2 at column positions 64, 67 in row 35: r35c35 r35c36 r35c65 r35c86 r35c88 r35c89 r35c95 r35c132 <> 78 r16 c64 n37 r20 c64 n37 r50 c64 n37 r54 c64 n37 r98 c64 n37 r99 c64 n37 r124 c64 n37 r126 c64 n37 r135 c64 n37 r110 c64 n112 r135 c64 n112 naked tuple of size 2 at row positions 35, 109 in column 64: r16c64 r20c64 r50c64 r54c64 r98c64 r99c64 r124c64 r126c64 r135c64 <> 37 r110c64 r135c64 <> 112 r25 c65 n78 r34 c65 n78 naked tuple of size 2 at block positions 30, 127 in block 30: r25c65 r34c65 <> 78 r111 c81 n42 naked tuple of size 3 at block positions 14, 75, 117 in block 115: r111c81 <> 42 r111 c50 n105 hidden tuple of size 3 with numbers 42, 62, 90 in column 50: r111c50 <> 105 r111 c40 n42 r111 c90 n42 r111 c93 n42 r111 c102 n42 r111 c133 n42 r111 c134 n42 naked tuple of size 2 at column positions 50, 81 in row 111: r111c40 r111c90 r111c93 r111c102 r111c133 r111c134 <> 42 r32 c2 n41 r32 c6 n41 r32 c11 n41 r32 c12 n41 r32 c61 n41 r32 c65 n41 block 32 candidates for number 41 all in row 32 (pointing): r32 c2c6c11c12c61c65 <> 41 r115 c130 n53 block 116 candidates for number 53 all in row 115 (pointing): r115 c130 <> 53 r31 c144 n110 r89 c144 n110 r95 c144 n110 r97 c144 n110 r99 c144 n110 r101 c144 n110 r104 c144 n110 r107 c144 n110 r131 c144 n110 block 12 candidates for number 110 all in column 144 (pointing): r31r89r95r97r99r101r104r107r131 c144 <> 110 r109 c64 n112 block 30 candidates for number 112 all in column 64 (pointing): r109 c64 <> 112 r68 c66 n143 r133 c66 n143 r136 c66 n143 r138 c66 n143 block 30 candidates for number 143 all in column 66 (pointing): r68r133r136r138 c66 <> 143 r97 c68 n110 r107 c68 n110 r138 c68 n110 r144 c68 n110 block 114 candidates for number 110 all in column 68 (pointing): r97r107r138r144 c68 <> 110 r29 c98 n54 r36 c98 n54 r61 c98 n54 block 117 candidates for number 54 all in column 98 (pointing): r29r36r61 c98 <> 54 r29 c125 n53 r55 c125 n53 r57 c125 n53 r59 c125 n53 r98 c125 n53 r102 c125 n53 r108 c125 n53 r135 c125 n53 r143 c125 n53 block 119 candidates for number 53 all in column 125 (pointing): r29r55r57r59r98r102r108r135r143 c125 <> 53 r65 c97 n131 r72 c97 n131 r89 c97 n131 r95 c97 n131 block 141 candidates for number 131 all in column 97 (pointing): r65r72r89r95 c97 <> 131 r109 c67 n37 r109 c71 n37 r109 c72 n37 r111 c67 n37 r111 c72 n37 r115 c63 n37 r115 c71 n37 r115 c72 n37 column 64 candidates for number 37 all in block 114 (claiming): r109c67 r109c71 r109c72 r111c67 r111c72 r115c63 r115c71 r115c72 <> 37 r111 c86 n91 r111 c123 n91 r111 c126 n91 r111 c131 n91 r111 c133 n91 r111 c134 n91 r111 c142 n91 naked tuple of size 2 at column positions 50, 67 in row 111: r111c86 r111c123 r111c126 r111c131 r111c133 r111c134 r111c142 <> 91 r5 c67 n91 r23 c67 n91 r52 c67 n91 r56 c67 n91 r72 c67 n91 r104 c67 n91 r105 c67 n91 r107 c67 n91 r113 c67 n91 r120 c67 n91 naked tuple of size 2 at row positions 8, 111 in column 67: r5c67 r23c67 r52c67 r56c67 r72c67 r104c67 r105c67 r107c67 r113c67 r120c67 <> 91 r113 c61 n91 r118 c61 n91 r120 c61 n91 r120 c65 n91 naked tuple of size 2 at block positions 4, 31 in block 114: r113c61 r118c61 r120c61 r120c65 <> 91 r120 c131 n29 r120 c131 n75 r120 c131 n82 r120 c131 n84 r120 c131 n100 hidden tuple of size 2 with numbers 53, 91 in block 119: r120c131 <> 29,75,82,84,100 r109 c6 n37 r109 c11 n37 r109 c42 n37 naked tuple of size 3 at column positions 49, 52, 64 in row 109: r109c6 r109c11 r109c42 <> 37 r120 c87 n91 r120 c88 n91 r120 c139 n91 block 119 candidates for number 91 all in row 120 (pointing): r120 c87c88c139 <> 91 r25 c124 n29 r71 c124 n29 block 119 candidates for number 29 all in column 124 (pointing): r25r71 c124 <> 29 r52 c131 n91 r53 c131 n91 r126 c131 n91 r127 c131 n91 r128 c131 n91 r135 c131 n91 block 119 candidates for number 91 all in column 131 (pointing): r52r53r126r127r128r135 c131 <> 91 r98 c122 n100 r100 c122 n100 r104 c122 n100 r105 c122 n100 r108 c122 n100 block 119 candidates for number 100 all in column 122 (pointing): r98r100r104r105r108 c122 <> 100 r61 c124 n11 r61 c128 n11 r63 c125 n11 r70 c127 n11 r71 c125 n11 r67 c124 n120 r68 c122 n120 r68 c124 n120 r68 c130 n120 r69 c124 n120 r72 c130 n120 r61 c123 n126 r61 c124 n126 r61 c128 n126 r64 c121 n126 r67 c124 n126 r67 c128 n126 r71 c132 n126 naked tuple of size 3 at block positions 79, 124, 127 in block 71: r61c124 r61c128 r63c125 r70c127 r71c125 <> 11 r67c124 r68c122 r68c124 r68c130 r69c124 r72c130 <> 120 r61c123 r61c124 r61c128 r64c121 r67c124 r67c128 r71c132 <> 126 r98 c127 n47 r108 c127 n47 r123 c127 n47 r18 c127 n104 r43 c127 n104 r95 c127 n104 r96 c127 n104 naked tuple of size 2 at row positions 70, 122 in column 127: r98c127 r108c127 r123c127 <> 47 r18c127 r43c127 r95c127 r96c127 <> 104 r30 c49 n29 r30 c50 n29 r30 c59 n29 r30 c89 n29 r30 c94 n29 r30 c103 n29 r30 c108 n29 r30 c136 n29 r30 c138 n29 r30 c143 n29 block 35 candidates for number 29 all in row 30 (pointing): r30 c49c50c59c89c94c103c108c136c138c143 <> 29 r71 c45 n11 r71 c135 n11 r71 c141 n11 r71 c143 n11 block 71 candidates for number 11 all in row 71 (pointing): r71 c45c135c141c143 <> 11 r113 c39 n11 r133 c39 n11 r138 c39 n11 r140 c39 n11 r142 c39 n11 block 64 candidates for number 11 all in column 39 (pointing): r113r133r138r140r142 c39 <> 11 r123 c129 n47 r128 c129 n47 block 107 candidates for number 47 all in column 129 (pointing): r123r128 c129 <> 47 r133 c43 n11 r136 c43 n11 r140 c43 n11 r142 c43 n11 r144 c43 n11 block 112 candidates for number 11 all in column 43 (pointing): r133r136r140r142r144 c43 <> 11 r70 c141 n11 block 64 candidates for number 11 all in row 70 (pointing): r70 c141 <> 11 r122 c50 n47 r122 c68 n47 r122 c69 n47 r122 c88 n47 r122 c97 n47 r122 c99 n47 r122 c102 n47 r122 c107 n47 r122 c114 n47 r122 c117 n47 block 131 candidates for number 47 all in row 122 (pointing): r122 c50c68c69c88c97c99c102c107c114c117 <> 47 r70 c31 n77 r70 c66 n77 r70 c68 n77 r70 c30 n104 r70 c31 n104 r70 c130 n104 naked tuple of size 2 at column positions 127, 141 in row 70: r70c31 r70c66 r70c68 <> 77 r70c30 r70c31 r70c130 <> 104 r122 c1 n4 r122 c4 n4 r122 c8 n4 r122 c111 n4 r122 c123 n4 r122 c132 n4 r122 c45 n83 r122 c46 n83 r122 c116 n83 r122 c118 n83 r122 c123 n83 r122 c132 n83 naked tuple of size 2 at column positions 109, 114 in row 122: r122c1 r122c4 r122c8 r122c111 r122c123 r122c132 <> 4 r122c45 r122c46 r122c116 r122c118 r122c123 r122c132 <> 83 r122 c109 n4 r122 c116 n6 r122 c118 n6 r122 c138 n6 r122 c144 n6 naked tuple of size 2 at column positions 114, 117 in row 122: r122c109 <> 4 r122c116 r122c118 r122c138 r122c144 <> 6 r43 c109 n83 r46 c109 n83 r57 c109 n83 r59 c109 n83 r106 c109 n83 r107 c109 n83 r108 c109 n83 r127 c109 n83 naked tuple of size 2 at row positions 84, 122 in column 109: r43c109 r46c109 r57c109 r59c109 r106c109 r107c109 r108c109 r127c109 <> 83 r18 c114 n4 r62 c114 n4 r69 c114 n4 r91 c114 n4 r131 c114 n4 r132 c114 n4 r22 c114 n101 r99 c114 n101 r103 c114 n101 r104 c114 n101 r106 c114 n101 r107 c114 n101 r132 c114 n101 r136 c114 n101 naked tuple of size 2 at row positions 21, 122 in column 114: r18c114 r62c114 r69c114 r91c114 r131c114 r132c114 <> 4 r22c114 r99c114 r103c114 r104c114 r106c114 r107c114 r132c114 r136c114 <> 101 r21 c114 n4 r18 c114 n131 naked tuple of size 2 at row positions 22, 122 in column 114: r21c114 <> 4 r18c114 <> 131 r36 c117 n18 r40 c117 n18 r41 c117 n18 r89 c117 n18 r92 c117 n18 r93 c117 n18 naked tuple of size 2 at row positions 43, 122 in column 117: r36c117 r40c117 r41c117 r89c117 r92c117 r93c117 <> 18 r43 c117 n6 naked tuple of size 2 at row positions 100, 122 in column 117: r43c117 <> 6 r22 c109 n101 r22 c115 n101 naked tuple of size 2 at block positions 102, 114 in block 22: r22c109 r22c115 <> 101 r40 c116 n11 r43 c111 n46 naked tuple of size 2 at block positions 43, 45 in block 46: r40c116 <> 11 r43c111 <> 46 r41 c110 n8 r41 c114 n8 r47 c109 n8 r47 c118 n8 r40 c115 n11 naked tuple of size 2 at block positions 45, 57 in block 46: r41c110 r41c114 r47c109 r47c118 <> 8 r40c115 <> 11 r43 c111 n18 r47 c118 n18 naked tuple of size 2 at block positions 45, 81 in block 46: r43c111 r47c118 <> 18 r46 c109 n39 r46 c114 n39 r47 c109 n39 r48 c118 n39 naked tuple of size 2 at block positions 45, 130 in block 46: r46c109 r46c114 r47c109 r48c118 <> 39 r61 c63 n3 r61 c65 n3 r61 c70 n3 r61 c71 n3 r68 c64 n3 r68 c66 n3 r68 c70 n3 r68 c71 n3 r71 c64 n3 r71 c66 n3 r71 c70 n3 r71 c71 n3 naked tuple of size 2 at block positions 111, 114 in block 66: r61c63 r61c65 r61c70 r61c71 r68c64 r68c66 r68c70 r68c71 r71c64 r71c66 r71c70 r71c71 <> 3 r124 c110 n4 r124 c111 n4 r124 c120 n4 r130 c110 n4 r130 c111 n4 r131 c111 n4 r123 c110 n83 r129 c116 n83 naked tuple of size 2 at block positions 13, 18 in block 130: r124c110 r124c111 r124c120 r130c110 r130c111 r131c111 <> 4 r123c110 r129c116 <> 83 r129 c116 n6 r129 c120 n6 naked tuple of size 2 at block positions 13, 21 in block 130: r129c116 r129c120 <> 6 r70 c39 n62 hidden tuple of size 2 with numbers 11, 77 in row 70: r70c39 <> 62 r122 c127 n104 hidden tuple of size 2 with numbers 4, 47 in row 122: r122c127 <> 104 r21 c12 n101 r21 c35 n101 r21 c94 n101 r21 c33 n135 r21 c36 n135 r21 c38 n135 r21 c128 n135 naked tuple of size 2 at column positions 87, 114 in row 21: r21c12 r21c35 r21c94 <> 101 r21c33 r21c36 r21c38 r21c128 <> 135 r40 c1 n55 r40 c4 n55 r40 c25 n55 r40 c35 n55 r40 c36 n55 r40 c39 n55 r40 c47 n55 r40 c48 n55 r40 c133 n55 r40 c137 n55 r40 c143 n55 r40 c1 n83 r40 c4 n83 r40 c5 n83 r40 c25 n83 r40 c39 n83 r40 c123 n83 r40 c126 n83 r40 c128 n83 naked tuple of size 2 at column positions 7, 116 in row 40: r40c1 r40c4 r40c25 r40c35 r40c36 r40c39 r40c47 r40c48 r40c133 r40c137 r40c143 <> 55 r40c1 r40c4 r40c5 r40c25 r40c39 r40c123 r40c126 r40c128 <> 83 r40 c39 n46 naked tuple of size 2 at column positions 115, 117 in row 40: r40c39 <> 46 r40 c33 n126 r40 c36 n126 r40 c128 n126 naked tuple of size 2 at column positions 115, 123 in row 40: r40c33 r40c36 r40c128 <> 126 r43 c12 n18 r43 c25 n18 r43 c26 n18 r43 c27 n18 r43 c61 n18 r43 c124 n18 r43 c125 n18 r43 c129 n18 r43 c131 n18 r43 c26 n97 r43 c28 n97 r43 c29 n97 r43 c36 n97 r43 c91 n97 r43 c94 n97 naked tuple of size 2 at column positions 83, 117 in row 43: r43c12 r43c25 r43c26 r43c27 r43c61 r43c124 r43c125 r43c129 r43c131 <> 18 r43c26 r43c28 r43c29 r43c36 r43c91 r43c94 <> 97 r70 c109 n3 naked tuple of size 2 at column positions 63, 66 in row 70: r70c109 <> 3 r70 c110 n137 naked tuple of size 2 at column positions 109, 127 in row 70: r70c110 <> 137 r52 c109 n137 r57 c109 n137 r85 c109 n137 r87 c109 n137 r133 c109 n137 r134 c109 n137 r140 c109 n137 r144 c109 n137 naked tuple of size 2 at row positions 70, 84 in column 109: r52c109 r57c109 r85c109 r87c109 r133c109 r134c109 r140c109 r144c109 <> 137 r55 c117 n8 r57 c117 n8 r86 c117 n8 r87 c117 n8 r90 c117 n8 r91 c117 n8 r92 c117 n8 r93 c117 n8 r101 c117 n8 r55 c117 n11 r57 c117 n11 r60 c117 n11 r90 c117 n11 r91 c117 n11 r133 c117 n11 r138 c117 n11 naked tuple of size 2 at row positions 40, 41 in column 117: r55c117 r57c117 r86c117 r87c117 r90c117 r91c117 r92c117 r93c117 r101c117 <> 8 r55c117 r57c117 r60c117 r90c117 r91c117 r133c117 r138c117 <> 11 r98 c118 n39 r99 c118 n39 r101 c118 n39 r106 c118 n39 r107 c118 n39 naked tuple of size 2 at row positions 47, 84 in column 118: r98c118 r99c118 r101c118 r106c118 r107c118 <> 39 r37 c123 n9 r37 c128 n9 r44 c121 n126 r44 c127 n126 naked tuple of size 2 at block positions 39, 96 in block 47: r37c123 r37c128 <> 9 r44c121 r44c127 <> 126 r37 c127 n19 naked tuple of size 2 at column positions 123, 128 in row 37: r37c127 <> 19 r37 c135 n30 naked tuple of size 2 at column positions 127, 144 in row 37: r37c135 <> 30 r87 c123 n35 r91 c123 n35 r99 c123 n35 r101 c123 n35 r102 c123 n35 r104 c123 n35 r105 c123 n35 r107 c123 n35 r78 c123 n126 r102 c123 n126 r105 c123 n126 r107 c123 n126 r108 c123 n126 r132 c123 n126 r138 c123 n126 r143 c123 n126 naked tuple of size 2 at row positions 37, 40 in column 123: r87c123 r91c123 r99c123 r101c123 r102c123 r104c123 r105c123 r107c123 <> 35 r78c123 r102c123 r105c123 r107c123 r108c123 r132c123 r138c123 r143c123 <> 126 r43 c127 n28 r110 c127 n28 r113 c127 n28 naked tuple of size 2 at row positions 37, 70 in column 127: r43c127 r110c127 r113c127 <> 28 r43 c126 n28 r37 c128 n35 naked tuple of size 2 at block positions 3, 7 in block 47: r43c126 <> 28 r37c128 <> 35 r44 c132 n126 naked tuple of size 2 at block positions 3, 39 in block 47: r44c132 <> 126 r37 c144 n28 hidden tuple of size 2 with numbers 19, 30 in row 37: r37c144 <> 28 r110 c126 n22 r110 c126 n30 r110 c126 n78 r110 c126 n108 r110 c126 n128 hidden tuple of size 2 with numbers 28, 53 in block 119: r110c126 <> 22,30,78,108,128 r110 c26 n28 naked tuple of size 2 at column positions 20, 126 in row 110: r110c26 <> 28 r97 c144 n30 r100 c144 n30 r105 c144 n30 r106 c144 n30 r111 c144 n30 r114 c144 n30 r136 c144 n30 r138 c144 n30 r140 c144 n30 r141 c144 n30 naked tuple of size 2 at row positions 4, 37 in column 144: r97c144 r100c144 r105c144 r106c144 r111c144 r114c144 r136c144 r138c144 r140c144 r141c144 <> 30 r24 c1 n101 r24 c2 n101 r24 c7 n101 r24 c9 n101 block 15 candidates for number 101 all in row 24 (pointing): r24 c1c2c7c9 <> 101 r21 c87 n101 block 22 candidates for number 101 all in row 21 (pointing): r21 c87 <> 101 r22 c43 n131 r22 c45 n131 r22 c85 n131 r22 c90 n131 r22 c93 n131 block 22 candidates for number 131 all in row 22 (pointing): r22 c43c45c85c90c93 <> 131 r41 c5 n8 r41 c9 n8 r41 c12 n8 block 46 candidates for number 8 all in row 41 (pointing): r41 c5c9c12 <> 8 r43 c83 n18 block 46 candidates for number 18 all in row 43 (pointing): r43 c83 <> 18 r47 c42 n39 r47 c66 n39 r47 c67 n39 r47 c69 n39 r47 c85 n39 r47 c88 n39 r47 c96 n39 block 46 candidates for number 39 all in row 47 (pointing): r47 c42c66c67c69c85c88c96 <> 39 r44 c47 n9 r44 c137 n9 block 47 candidates for number 9 all in row 44 (pointing): r44 c47c137 <> 9 r25 c115 n46 r31 c115 n46 r98 c115 n46 r99 c115 n46 r104 c115 n46 r105 c115 n46 r107 c115 n46 r126 c115 n46 block 46 candidates for number 46 all in column 115 (pointing): r25r31r98r99r104r105r107r126 c115 <> 46 r49 c132 n9 r54 c132 n9 r97 c132 n9 r102 c132 n9 r106 c132 n9 r107 c132 n9 r108 c132 n9 r133 c132 n9 r134 c132 n9 r141 c132 n9 block 47 candidates for number 9 all in column 132 (pointing): r49r54r97r102r106r107r108r133r134r141 c132 <> 9 r31 c128 n19 r34 c128 n19 r90 c128 n19 r109 c128 n19 block 47 candidates for number 19 all in column 128 (pointing): r31r34r90r109 c128 <> 19 r27 c130 n19 r33 c130 n19 r93 c130 n19 block 119 candidates for number 19 all in column 130 (pointing): r27r33r93 c130 <> 19 r13 c87 n135 r19 c87 n135 r23 c88 n135 row 21 candidates for number 135 all in block 20 (claiming): r13c87 r19c87 r23c88 <> 135 r42 c83 n97 row 43 candidates for number 97 all in block 43 (claiming): r42c83 <> 97 r66 c25 n62 r66 c31 n62 row 70 candidates for number 62 all in block 63 (claiming): r66c25 r66c31 <> 62 r66 c137 n77 r67 c143 n77 row 70 candidates for number 77 all in block 72 (claiming): r66c137 r67c143 <> 77 r63 c130 n104 r72 c130 n104 r72 c131 n104 row 70 candidates for number 104 all in block 71 (claiming): r63c130 r72c130 r72c131 <> 104 r133 c30 n62 r138 c30 n62 r138 c32 n62 r140 c30 n62 r140 c32 n62 r141 c31 n62 r141 c32 n62 r142 c30 n62 r142 c31 n62 r142 c32 n62 r143 c31 n62 r143 c32 n62 r144 c32 n62 column 25 candidates for number 62 all in block 135 (claiming): r133c30 r138c30 r138c32 r140c30 r140c32 r141c31 r141c32 r142c30 r142c31 r142c32 r143c31 r143c32 r144c32 <> 62 r137 c39 n83 r138 c39 n83 r142 c39 n83 r142 c46 n83 column 45 candidates for number 83 all in block 136 (claiming): r137c39 r138c39 r142c39 r142c46 <> 83 r124 c110 n46 r124 c120 n46 r126 c120 n46 r129 c120 n46 column 111 candidates for number 46 all in block 130 (claiming): r124c110 r124c120 r126c120 r129c120 <> 46 r98 c110 n46 r99 c110 n46 r102 c110 n46 r104 c110 n46 r107 c110 n46 column 120 candidates for number 46 all in block 106 (claiming): r98c110 r99c110 r102c110 r104c110 r107c110 <> 46 r93 c126 n19 column 127 candidates for number 19 all in block 95 (claiming): r93c126 <> 19