***********************************************************************************************
*** HidatoRules 2.1.s based on CSP-Rules 2.1.s, config = W+S
*** using CLIPS 6.32-r764
***********************************************************************************************
***** Hidato-Rules topological-model *****
undecided numbers: (1 5 6 7 8 10 13 15 16 17 19 21 22 24 26 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 46 47 48 49 50 51 53 54 56 57 58 59 61 62 63 64 65 66 67 68 69 70 71 73 74 75 77 78 79 81)
hidden-single: r8c7 = 24
hidden-single: r8c2 = 56
hidden-single: r7c3 = 57
hidden-single: r6c4 = 58
hidden-single: r5c5 = 59
hidden-single: r4c9 = 75
whip[1]: n71{r6c7 .} ==> r6c7 ≠ 70, r8c6 ≠ 70, r9c6 ≠ 70, r9c7 ≠ 70
whip[1]: n70{r9c9 .} ==> r9c5 ≠ 69, r9c6 ≠ 69
whip[1]: n36{r6c5 .} ==> r6c5 ≠ 37, r6c3 ≠ 37
whip[1]: n34{r6c5 .} ==> r6c5 ≠ 33, r6c3 ≠ 33
whip[1]: n48{r5c1 .} ==> r5c1 ≠ 49, r2c5 ≠ 47
whip[1]: n47{r4c5 .} ==> r5c1 ≠ 48
whip[1]: n48{r5c4 .} ==> r6c1 ≠ 49
whip[1]: n49{r6c3 .} ==> r3c1 ≠ 48
whip[1]: n42{r5c1 .} ==> r5c1 ≠ 41
whip[1]: n30{r9c8 .} ==> r3c1 ≠ 31
whip[1]: n38{r9c7 .} ==> r3c1 ≠ 39
whip[1]: n28{r8c6 .} ==> r6c3 ≠ 29, r5c3 ≠ 29
whip[1]: n29{r9c7 .} ==> r6c2 ≠ 30
whip[1]: n30{r9c8 .} ==> r5c1 ≠ 31
whip[1]: n40{r7c6 .} ==> r8c4 ≠ 39
whip[1]: n63{r7c9 .} ==> r8c4 ≠ 64, r8c3 ≠ 64
whip[1]: n64{r8c9 .} ==> r9c2 ≠ 65, r9c3 ≠ 65
whip[1]: n62{r6c7 .} ==> r7c9 ≠ 63
whip[1]: n63{r7c6 .} ==> r8c9 ≠ 64
whip[1]: n64{r8c6 .} ==> r9c8 ≠ 65, r9c9 ≠ 65
whip[1]: n22{r8c9 .} ==> r6c7 ≠ 21
whip[1]: n61{r5c7 .} ==> r2c4 ≠ 62
whip[1]: n62{r6c7 .} ==> r1c3 ≠ 63
whip[1]: n63{r7c6 .} ==> r1c2 ≠ 64
whip[1]: n43{r4c5 .} ==> r5c1 ≠ 42
whip[1]: n42{r5c6 .} ==> r6c1 ≠ 41
whip[1]: n6{r4c3 .} ==> r5c1 ≠ 5, r1c4 ≠ 7
whip[1]: n16{r4c7 .} ==> r5c9 ≠ 17, r1c6 ≠ 15
whip[1]: n44{r3c3 .} ==> r4c5 ≠ 43
whip[1]: n43{r4c4 .} ==> r5c6 ≠ 42
whip[1]: n42{r5c4 .} ==> r5c7 ≠ 41, r6c6 ≠ 41, r6c7 ≠ 41
whip[1]: n46{r3c3 .} ==> r4c5 ≠ 47
whip[1]: n68{r9c9 .} ==> r2c4 ≠ 67
whip[1]: n67{r9c9 .} ==> r1c2 ≠ 66, r1c3 ≠ 66
biv-chain[2]: n21{r7c9 r6c9} - n22{r8c9 r7c9} ==> r7c9 ≠ 64, r7c9 ≠ 65, r7c9 ≠ 66, r7c9 ≠ 67, r7c9 ≠ 68, r7c9 ≠ 69, r7c9 ≠ 70, r7c9 ≠ 71
whip[1]: n71{r8c9 .} ==> r6c9 ≠ 70, r8c9 ≠ 70
whip[1]: n65{r9c7 .} ==> r8c9 ≠ 66
whip[1]: n64{r8c6 .} ==> r8c9 ≠ 65
whip[1]: n65{r9c7 .} ==> r9c9 ≠ 66
biv-chain[2]: n53{r8c1 r7c2} - n54{r9c2 r8c1} ==> r8c1 ≠ 31, r8c1 ≠ 32, r8c1 ≠ 38, r8c1 ≠ 39, r8c1 ≠ 51, r8c1 ≠ 65
whip[2]: r9c9{n68 n70} - n69{r4c5 .} ==> r9c6 ≠ 68, r3c6 ≠ 68, r3c7 ≠ 68, r3c8 ≠ 68, r4c4 ≠ 68, r4c5 ≠ 68, r4c7 ≠ 68, r5c4 ≠ 68, r5c6 ≠ 68, r5c7 ≠ 68, r5c8 ≠ 68, r5c9 ≠ 68, r6c5 ≠ 68, r6c6 ≠ 68, r6c7 ≠ 68, r6c9 ≠ 68, r7c6 ≠ 68, r8c4 ≠ 68, r8c5 ≠ 68, r8c6 ≠ 68, r9c4 ≠ 68, r9c5 ≠ 68
whip[1]: n68{r9c9 .} ==> r2c5 ≠ 67, r2c8 ≠ 67, r2c9 ≠ 67, r3c3 ≠ 67, r3c6 ≠ 67, r3c7 ≠ 67, r3c8 ≠ 67, r4c3 ≠ 67, r4c4 ≠ 67, r4c5 ≠ 67, r4c7 ≠ 67, r5c3 ≠ 67, r5c4 ≠ 67, r5c6 ≠ 67, r5c7 ≠ 67, r5c8 ≠ 67, r5c9 ≠ 67, r6c3 ≠ 67, r6c5 ≠ 67, r6c6 ≠ 67, r6c7 ≠ 67, r6c9 ≠ 67, r7c6 ≠ 67, r8c3 ≠ 67, r8c4 ≠ 67, r8c5 ≠ 67, r9c3 ≠ 67, r9c4 ≠ 67, r9c5 ≠ 67, r4c5 ≠ 69, r4c7 ≠ 69, r5c6 ≠ 69, r5c7 ≠ 69, r5c8 ≠ 69, r5c9 ≠ 69, r6c5 ≠ 69, r6c6 ≠ 69, r6c7 ≠ 69, r6c9 ≠ 69, r7c6 ≠ 69, r8c5 ≠ 69
whip[1]: n69{r9c9 .} ==> r5c6 ≠ 70, r5c7 ≠ 70, r5c8 ≠ 70, r5c9 ≠ 70, r6c6 ≠ 70
whip[1]: n70{r9c9 .} ==> r6c9 ≠ 71
whip[1]: n67{r9c9 .} ==> r1c4 ≠ 66, r1c6 ≠ 66, r1c7 ≠ 66, r1c8 ≠ 66, r1c9 ≠ 66, r2c2 ≠ 66, r2c4 ≠ 66, r2c5 ≠ 66, r2c8 ≠ 66, r2c9 ≠ 66, r3c2 ≠ 66, r3c3 ≠ 66, r3c6 ≠ 66, r3c7 ≠ 66, r3c8 ≠ 66, r4c3 ≠ 66, r4c4 ≠ 66, r4c5 ≠ 66, r4c7 ≠ 66, r5c3 ≠ 66, r5c4 ≠ 66, r5c6 ≠ 66, r5c7 ≠ 66, r5c8 ≠ 66, r5c9 ≠ 66, r6c2 ≠ 66, r6c3 ≠ 66, r6c5 ≠ 66, r6c6 ≠ 66, r6c7 ≠ 66, r6c9 ≠ 66, r7c2 ≠ 66, r8c3 ≠ 66, r8c4 ≠ 66, r9c2 ≠ 66, r9c3 ≠ 66, r9c4 ≠ 66
whip[1]: n66{r9c8 .} ==> r1c1 ≠ 65, r1c2 ≠ 65, r1c3 ≠ 65, r1c4 ≠ 65, r1c6 ≠ 65, r1c7 ≠ 65, r1c8 ≠ 65, r1c9 ≠ 65, r2c1 ≠ 65, r2c2 ≠ 65, r2c4 ≠ 65, r2c5 ≠ 65, r2c8 ≠ 65, r2c9 ≠ 65, r3c1 ≠ 65, r3c2 ≠ 65, r3c3 ≠ 65, r3c6 ≠ 65, r3c7 ≠ 65, r3c8 ≠ 65, r4c3 ≠ 65, r4c4 ≠ 65, r4c5 ≠ 65, r4c7 ≠ 65, r5c1 ≠ 65, r5c3 ≠ 65, r5c4 ≠ 65, r5c6 ≠ 65, r5c7 ≠ 65, r5c8 ≠ 65, r5c9 ≠ 65, r6c1 ≠ 65, r6c2 ≠ 65, r6c3 ≠ 65, r6c9 ≠ 65, r7c2 ≠ 65, r8c3 ≠ 65
whip[1]: n65{r9c7 .} ==> r1c3 ≠ 64, r1c4 ≠ 64, r1c6 ≠ 64, r1c7 ≠ 64, r1c8 ≠ 64, r1c9 ≠ 64, r2c2 ≠ 64, r2c4 ≠ 64, r2c5 ≠ 64, r2c8 ≠ 64, r2c9 ≠ 64, r3c2 ≠ 64, r3c3 ≠ 64, r3c6 ≠ 64, r3c7 ≠ 64, r3c8 ≠ 64, r4c3 ≠ 64, r4c4 ≠ 64, r4c5 ≠ 64, r4c7 ≠ 64, r5c3 ≠ 64, r5c9 ≠ 64, r6c2 ≠ 64, r6c3 ≠ 64, r6c9 ≠ 64, r7c2 ≠ 64
whip[1]: n64{r8c6 .} ==> r1c4 ≠ 63, r1c6 ≠ 63, r1c7 ≠ 63, r1c8 ≠ 63, r1c9 ≠ 63, r2c4 ≠ 63, r2c5 ≠ 63, r2c8 ≠ 63, r2c9 ≠ 63, r3c3 ≠ 63, r3c6 ≠ 63, r3c7 ≠ 63, r3c8 ≠ 63
naked-single: r1c9 = 78
naked-single: r2c9 = 77
whip[1]: n63{r7c6 .} ==> r2c5 ≠ 62, r2c8 ≠ 62
whip[1]: r1c1{n43 .} ==> r1c3 ≠ 42, r1c4 ≠ 42, r1c6 ≠ 42, r2c4 ≠ 42, r2c5 ≠ 42, r3c1 ≠ 42, r3c2 ≠ 42, r3c3 ≠ 42, r3c6 ≠ 42, r4c3 ≠ 42, r4c4 ≠ 42, r4c5 ≠ 42, r5c3 ≠ 42, r5c4 ≠ 42
whip[1]: n42{r2c2 .} ==> r4c3 ≠ 43, r1c4 ≠ 41, r1c6 ≠ 41, r1c7 ≠ 41, r1c4 ≠ 43, r2c4 ≠ 43, r2c5 ≠ 43, r4c4 ≠ 43, r2c4 ≠ 41, r2c5 ≠ 41, r3c6 ≠ 41, r3c7 ≠ 41, r4c3 ≠ 41, r4c4 ≠ 41, r4c5 ≠ 41, r4c7 ≠ 41, r5c3 ≠ 41, r5c4 ≠ 41, r5c6 ≠ 41, r6c2 ≠ 41, r6c3 ≠ 41, r6c5 ≠ 41
naked-single: r1c6 = 81
naked-single: r1c7 = 15
hidden-single: r2c8 = 16
hidden-single: r1c8 = 79
whip[1]: n41{r3c3 .} ==> r5c4 ≠ 40, r2c5 ≠ 40, r3c6 ≠ 40, r3c7 ≠ 40, r3c8 ≠ 40, r4c5 ≠ 40, r4c7 ≠ 40, r5c1 ≠ 40, r5c3 ≠ 40, r5c6 ≠ 40, r5c7 ≠ 40, r5c8 ≠ 40, r6c1 ≠ 40, r6c2 ≠ 40, r6c3 ≠ 40, r6c5 ≠ 40, r6c6 ≠ 40, r6c7 ≠ 40, r7c2 ≠ 40, r7c6 ≠ 40
whip[1]: n40{r4c4 .} ==> r6c5 ≠ 39, r3c6 ≠ 39, r3c7 ≠ 39, r3c8 ≠ 39, r4c7 ≠ 39, r5c1 ≠ 39, r5c6 ≠ 39, r5c7 ≠ 39, r5c8 ≠ 39, r6c1 ≠ 39, r6c2 ≠ 39, r6c3 ≠ 39, r6c6 ≠ 39, r6c7 ≠ 39, r7c2 ≠ 39, r7c6 ≠ 39, r8c3 ≠ 39, r8c5 ≠ 39, r8c6 ≠ 39
whip[1]: n39{r5c4 .} ==> r7c6 ≠ 38, r4c7 ≠ 38, r5c1 ≠ 38, r5c7 ≠ 38, r6c1 ≠ 38, r6c6 ≠ 38, r6c7 ≠ 38, r7c2 ≠ 38, r8c3 ≠ 38, r8c4 ≠ 38, r8c5 ≠ 38, r8c6 ≠ 38, r9c2 ≠ 38, r9c3 ≠ 38, r9c4 ≠ 38, r9c5 ≠ 38, r9c6 ≠ 38, r9c7 ≠ 38
whip[1]: n38{r6c5 .} ==> r8c6 ≠ 37, r8c3 ≠ 37, r8c4 ≠ 37, r8c5 ≠ 37, r9c2 ≠ 37, r9c3 ≠ 37, r9c4 ≠ 37, r9c5 ≠ 37, r9c6 ≠ 37
whip[1]: n37{r7c6 .} ==> r8c4 ≠ 36
whip[2]: n39{r5c4 r3c2} - n5{r3c2 .} ==> r3c1 ≠ 40
whip[2]: n62{r6c7 r5c8} - n64{r5c8 .} ==> r5c9 ≠ 63, r6c9 ≠ 63
whip[2]: n62{r6c7 r5c4} - n64{r5c4 .} ==> r6c3 ≠ 63
whip[2]: n71{r8c9 r6c7} - n70{r9c8 .} ==> r8c9 ≠ 69
whip[2]: n69{r9c9 r9c8} - n70{r7c6 .} ==> r9c9 ≠ 68
whip[2]: n66{r9c7 r9c8} - n68{r9c8 .} ==> r8c9 ≠ 67
whip[2]: r9c9{n70 n67} - n68{r9c7 .} ==> r8c6 ≠ 69
whip[1]: n69{r9c9 .} ==> r7c6 ≠ 70
whip[1]: n70{r9c9 .} ==> r6c7 ≠ 71
hidden-single: r8c9 = 71
hidden-single: r7c9 = 22
hidden-single: r6c9 = 21
hidden-single: r6c7 = 73
hidden-single: r5c8 = 74
naked-single: r5c9 = 19
biv-chain[2]: n70{r9c9 r9c8} - n68{r9c8 r9c7} ==> r9c9 ≠ 69, r9c9 ≠ 67, r9c7 ≠ 69
hidden-single: r9c8 = 69
hidden-single: r9c7 = 68
hidden-single: r9c9 = 70
whip[2]: n30{r9c6 r4c3} - n32{r4c3 .} ==> r3c2 ≠ 31
whip[2]: n30{r9c6 r4c7} - n32{r4c7 .} ==> r3c7 ≠ 31, r3c8 ≠ 31
whip[2]: r3c8{n62 n17} - r3c7{n17 .} ==> r4c5 ≠ 61, r5c6 ≠ 61, r5c7 ≠ 61, r4c4 ≠ 62, r4c5 ≠ 62, r5c4 ≠ 62, r5c6 ≠ 62, r5c7 ≠ 62, r6c5 ≠ 62, r6c6 ≠ 62
whip[1]: n62{r4c7 .} ==> r6c5 ≠ 63, r4c3 ≠ 63, r4c4 ≠ 63, r5c3 ≠ 63, r5c4 ≠ 63, r6c6 ≠ 63, r7c6 ≠ 63
whip[1]: n63{r5c7 .} ==> r8c5 ≠ 64, r7c6 ≠ 64, r8c6 ≠ 64
whip[1]: n64{r6c6 .} ==> r8c5 ≠ 65, r8c4 ≠ 65, r8c6 ≠ 65, r9c4 ≠ 65, r9c5 ≠ 65, r9c6 ≠ 65
whip[1]: n65{r7c6 .} ==> r9c5 ≠ 66, r9c6 ≠ 66
whip[2]: n5{r3c1 r3c2} - n48{r3c2 .} ==> r3c1 ≠ 47
whip[2]: n10{r2c5 r2c4} - n7{r2c4 .} ==> r2c5 ≠ 8
whip[2]: n47{r4c4 r2c4} - n8{r2c4 .} ==> r1c4 ≠ 46
whip[3]: n36{r8c5 r6c5} - n65{r6c5 r7c6} - n64{r5c4 .} ==> r6c6 ≠ 37
whip[1]: n37{r7c6 .} ==> r5c6 ≠ 38
whip[3]: n37{r7c2 r7c6} - n66{r7c6 r8c6} - n65{r6c5 .} ==> r8c5 ≠ 36
whip[2]: n38{r6c3 r6c5} - n36{r6c5 .} ==> r7c6 ≠ 37
whip[3]: n39{r5c3 r5c4} - n37{r5c4 r5c6} - n36{r6c3 .} ==> r6c5 ≠ 38
whip[3]: n39{r5c4 r3c3} - n41{r3c3 r1c3} - n7{r1c3 .} ==> r2c4 ≠ 40
whip[3]: n17{r3c8 r3c7} - n61{r3c7 r4c7} - n63{r4c7 .} ==> r3c8 ≠ 62
naked-single: r3c8 = 17
whip[2]: r3c7{n61 n62} - n63{r4c5 .} ==> r4c7 ≠ 61
whip[3]: n67{r8c6 r9c6} - n66{r7c6 r8c5} - n34{r8c5 .} ==> r8c6 ≠ 33
whip[3]: n66{r8c6 r7c6} - n26{r7c6 r8c6} - n67{r8c6 .} ==> r6c6 ≠ 65
whip[1]: n65{r7c6 .} ==> r5c7 ≠ 64
whip[2]: n65{r7c6 r6c5} - n66{r8c5 .} ==> r7c6 ≠ 26, r7c6 ≠ 28, r7c6 ≠ 29, r7c6 ≠ 30, r7c6 ≠ 31, r7c6 ≠ 32, r7c6 ≠ 33
whip[3]: n67{r8c6 r9c6} - n66{r7c6 r8c5} - n28{r8c5 .} ==> r8c6 ≠ 29
whip[3]: n65{r6c5 r7c6} - n64{r5c4 r6c6} - n28{r6c6 .} ==> r6c5 ≠ 29
whip[1]: n29{r9c6 .} ==> r5c4 ≠ 30
whip[3]: n28{r8c6 r6c5} - n65{r6c5 r7c6} - n64{r5c4 .} ==> r6c6 ≠ 29
whip[3]: n30{r9c6 r7c2} - r9c5{n30 n33} - n32{r4c3 .} ==> r6c1 ≠ 31
whip[2]: n33{r9c6 r6c2} - n31{r6c2 .} ==> r5c1 ≠ 32
whip[3]: r5c1{n1 n50} - n49{r4c3 r6c2} - n48{r3c2 .} ==> r5c3 ≠ 1
whip[3]: n34{r8c5 r6c5} - n65{r6c5 r7c6} - n64{r5c4 .} ==> r6c6 ≠ 33
whip[1]: n33{r9c6 .} ==> r5c6 ≠ 32
whip[3]: n32{r9c6 r5c7} - n33{r5c3 r5c6} - n30{r5c6 .} ==> r4c7 ≠ 31
whip[3]: n48{r5c4 r3c3} - n46{r3c3 r1c3} - n7{r1c3 .} ==> r2c4 ≠ 47
whip[4]: n40{r4c4 r2c2} - n42{r2c2 r1c2} - r1c1{n42 n43} - n44{r1c3 .} ==> r1c3 ≠ 41
whip[4]: n61{r3c6 r3c7} - n62{r3c7 r4c7} - n32{r4c7 r4c5} - n30{r4c5 .} ==> r3c6 ≠ 31
whip[4]: n33{r9c6 r5c6} - n31{r5c6 r5c7} - n30{r4c3 r6c6} - n29{r5c4 .} ==> r4c7 ≠ 32
whip[3]: n32{r9c6 r6c6} - r9c3{n33 n29} - n30{r4c3 .} ==> r5c7 ≠ 31
whip[3]: n33{r9c6 r5c6} - n34{r6c3 r6c5} - n31{r6c5 .} ==> r6c6 ≠ 32
whip[3]: n32{r9c6 r5c4} - r9c3{n33 n29} - n30{r4c3 .} ==> r6c5 ≠ 31
whip[3]: n31{r9c6 r5c6} - r9c3{n32 n33} - n32{r4c3 .} ==> r6c6 ≠ 30
whip[3]: n31{r9c6 r5c6} - r9c3{n32 n33} - n32{r4c3 .} ==> r4c7 ≠ 30
whip[1]: r4c7{n63 .} ==> r4c5 ≠ 63
whip[1]: n63{r5c7 .} ==> r5c4 ≠ 64
whip[3]: n30{r9c6 r5c6} - n63{r5c6 r4c7} - n64{r6c5 .} ==> r5c7 ≠ 29
whip[1]: n29{r9c6 .} ==> r5c6 ≠ 30
whip[3]: n29{r9c6 r5c6} - n64{r5c6 r6c5} - n63{r4c7 .} ==> r6c6 ≠ 28
whip[3]: n30{r9c6 r4c4} - r9c3{n31 n33} - n32{r4c3 .} ==> r4c5 ≠ 31
whip[3]: n29{r9c6 r5c6} - n63{r5c6 r4c7} - n64{r6c5 .} ==> r5c7 ≠ 30
whip[2]: r5c7{n63 n32} - n33{r5c3 .} ==> r5c6 ≠ 63
whip[1]: n63{r5c7 .} ==> r6c5 ≠ 64
biv-chain[3]: r7c6{n66 n65} - n64{r5c6 r6c6} - n26{r6c6 r8c6} ==> r8c6 ≠ 66
whip[3]: n33{r9c6 r5c6} - n31{r5c6 r6c6} - n64{r6c6 .} ==> r5c7 ≠ 32
naked-single: r5c7 = 63
hidden-single: r4c7 = 62
naked-single: r3c7 = 61
naked-single: r3c6 = 13
naked-single: r2c5 = 10
whip[2]: n30{r9c6 r6c5} - n32{r6c5 .} ==> r6c6 ≠ 31
biv-chain[4]: n67{r8c6 r9c6} - r7c6{n66 n65} - n64{r5c6 r6c6} - n26{r6c6 r8c6} ==> r8c6 ≠ 28, r8c6 ≠ 30, r8c6 ≠ 31, r8c6 ≠ 32
whip[4]: n34{r8c5 r8c4} - n28{r8c4 r6c5} - n65{r6c5 r7c6} - n66{r7c6 .} ==> r8c5 ≠ 33
whip[4]: n51{r7c2 r6c2} - r6c1{n51 n32} - n33{r9c6 r7c2} - n31{r7c2 .} ==> r5c3 ≠ 50
whip[1]: n50{r7c2 .} ==> r4c3 ≠ 49, r4c4 ≠ 49
whip[1]: n49{r6c3 .} ==> r3c2 ≠ 48, r3c3 ≠ 48
whip[1]: n48{r5c4 .} ==> r2c1 ≠ 47, r2c2 ≠ 47
whip[1]: n47{r4c4 .} ==> r1c2 ≠ 46, r1c3 ≠ 46
whip[2]: r1c1{n43 n41} - r1c2{n41 .} ==> r3c1 ≠ 43, r3c2 ≠ 43, r3c3 ≠ 43
whip[2]: r1c1{n42 n43} - r2c1{n43 .} ==> r3c3 ≠ 41
whip[1]: n41{r3c2 .} ==> r4c4 ≠ 40
whip[1]: n40{r4c3 .} ==> r4c5 ≠ 39
whip[3]: r1c4{n44 n8} - n7{r3c3 r1c3} - n43{r1c3 .} ==> r2c4 ≠ 44
whip[3]: r1c3{n44 n7} - n6{r3c2 r2c2} - n43{r2c2 .} ==> r3c3 ≠ 44
whip[4]: n6{r4c3 r3c3} - n5{r3c1 r3c2} - n46{r3c2 r2c2} - n47{r4c3 .} ==> r2c4 ≠ 7
whip[1]: n7{r3c3 .} ==> r3c3 ≠ 6
biv-chain[2]: r1c4{n44 n8} - n7{r3c3 r1c3} ==> r1c3 ≠ 44
whip[2]: r1c3{n43 n7} - n6{r3c2 .} ==> r2c2 ≠ 43
whip[3]: r1c3{n43 n7} - n6{r3c2 r2c2} - n44{r2c2 .} ==> r1c2 ≠ 43
whip[3]: r1c4{n44 n8} - n7{r3c3 r1c3} - n6{r3c2 .} ==> r2c2 ≠ 44
whip[4]: r2c4{n46 n8} - r1c4{n8 n44} - n43{r2c1 r1c3} - n7{r1c3 .} ==> r3c3 ≠ 46
whip[1]: n46{r3c2 .} ==> r4c4 ≠ 47
whip[1]: n47{r4c3 .} ==> r4c5 ≠ 48
whip[3]: n5{r3c2 r3c1} - n6{r4c3 r2c2} - n46{r2c2 .} ==> r3c2 ≠ 47
biv-chain[2]: n47{r4c3 r3c3} - n7{r3c3 r1c3} ==> r4c3 ≠ 6
biv-chain[3]: n6{r2c2 r3c2} - n7{r1c3 r3c3} - n47{r3c3 r4c3} ==> r2c2 ≠ 46
biv-chain[3]: n46{r3c2 r2c4} - n8{r2c4 r1c4} - n7{r3c3 r1c3} ==> r3c2 ≠ 6
hidden-single: r2c2 = 6
whip[3]: n42{r1c2 r2c1} - n40{r2c1 r3c2} - n5{r3c2 .} ==> r3c1 ≠ 41
whip[3]: n41{r2c1 r3c2} - n46{r3c2 r2c4} - n47{r4c3 .} ==> r3c3 ≠ 40
whip[3]: n40{r3c2 r4c3} - n47{r4c3 r3c3} - n48{r5c3 .} ==> r4c4 ≠ 39
whip[3]: r4c5{n32 n38} - n39{r5c3 r5c4} - n40{r2c1 .} ==> r4c3 ≠ 31
whip[3]: n47{r3c3 r4c3} - n40{r4c3 r3c2} - n46{r3c2 .} ==> r3c3 ≠ 39
whip[3]: n46{r2c4 r3c2} - n40{r3c2 r2c1} - n39{r4c3 .} ==> r4c3 ≠ 47
hidden-single: r3c3 = 47
hidden-single: r1c3 = 7
whip[1]: n43{r2c1 .} ==> r1c4 ≠ 44
naked-single: r1c4 = 8
naked-single: r2c4 = 46
whip[1]: n48{r4c4 .} ==> r6c2 ≠ 49, r6c3 ≠ 49
whip[1]: n49{r5c4 .} ==> r7c2 ≠ 50, r5c1 ≠ 50, r6c1 ≠ 50
naked-single: r5c1 = 1
naked-single: r3c1 = 5
biv-chain[2]: n50{r6c2 r6c3} - r6c1{n51 n32} ==> r6c2 ≠ 32
whip[2]: n34{r8c5 r6c3} - n50{r6c3 .} ==> r6c2 ≠ 33
whip[2]: n36{r8c3 r6c3} - n50{r6c3 .} ==> r6c2 ≠ 37
whip[2]: n29{r9c6 r5c4} - n49{r5c4 .} ==> r5c3 ≠ 30
whip[2]: n37{r5c4 r5c3} - n49{r5c3 .} ==> r5c4 ≠ 38
whip[2]: n33{r5c4 r5c3} - n49{r5c3 .} ==> r5c4 ≠ 32
whip[2]: n40{r4c3 r2c1} - n43{r2c1 .} ==> r1c1 ≠ 41
biv-chain[2]: n44{r1c2 r3c2} - r1c1{n43 n42} ==> r1c2 ≠ 42
hidden-pairs: {n42 n43}{r1c1 r2c1} ==> r2c1 ≠ 41, r2c1 ≠ 40
whip[1]: n40{r4c3 .} ==> r1c2 ≠ 41
hidden-single: r3c2 = 41
hidden-single: r2c1 = 42
hidden-single: r1c1 = 43
hidden-single: r4c3 = 40
hidden-single: r4c4 = 48
hidden-single: r1c2 = 44
hidden-pairs: {n39 n49}{r5c3 r5c4} ==> r5c4 ≠ 37, r5c4 ≠ 33, r5c4 ≠ 31, r5c4 ≠ 29, r5c3 ≠ 38, r5c3 ≠ 37, r5c3 ≠ 33, r5c3 ≠ 32, r5c3 ≠ 31
whip[1]: n29{r9c6 .} ==> r6c3 ≠ 30
whip[2]: n30{r9c6 r7c2} - n32{r7c2 .} ==> r6c3 ≠ 31
whip[2]: n31{r9c6 r5c6} - n29{r5c6 .} ==> r4c5 ≠ 30, r6c5 ≠ 30
whip[1]: n30{r9c6 .} ==> r5c6 ≠ 29, r5c6 ≠ 31
whip[1]: n31{r9c6 .} ==> r4c5 ≠ 32, r6c5 ≠ 32
naked-single: r4c5 = 38
hidden-single: r5c4 = 39
hidden-single: r5c3 = 49
hidden-single: r5c6 = 37
hidden-single: r6c6 = 64
hidden-single: r8c6 = 26
hidden-single: r9c6 = 67
hidden-single: r8c5 = 66
hidden-single: r7c6 = 65
hidden-single: r6c5 = 36
hidden-single: r8c4 = 28
whip[1]: n34{r8c3 .} ==> r9c5 ≠ 33, r8c3 ≠ 33
whip[1]: n33{r9c4 .} ==> r7c2 ≠ 32
whip[2]: r9c5{n32 n29} - n30{r7c2 .} ==> r6c2 ≠ 31, r7c2 ≠ 31, r9c2 ≠ 31
whip[1]: n31{r9c5 .} ==> r6c1 ≠ 32, r6c3 ≠ 32
naked-single: r6c1 = 51
hidden-single: r6c2 = 50
naked-single: r6c3 = 34
hidden-single: r7c2 = 33
hidden-single: r8c1 = 53
hidden-single: r9c2 = 54
hidden-single: r8c3 = 32
whip[1]: r9c5{n30 .} ==> r9c3 ≠ 29, r9c3 ≠ 30
naked-single: r9c3 = 31
hidden-single: r9c4 = 30
hidden-single: r9c5 = 29
GRID SOLVED. rating-type = W+S, MOST COMPLEX RULE TRIED = W[4]
43 44 7 8 9 81 15 79 78
42 6 45 46 10 14 80 16 77
5 41 47 11 12 13 61 17 76
4 2 40 48 38 60 62 18 75
1 3 49 39 59 37 63 74 19
51 50 34 58 36 64 73 20 21
52 33 57 35 27 65 25 72 22
53 56 32 28 66 26 24 23 71
55 54 31 30 29 67 68 69 70