LTS Termination Proof

by AProVE

Input

Integer Transition System

Proof

1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
l5 l5 l5: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l22 l22 l22: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l48 l48 l48: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l18 l18 l18: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l17 l17 l17: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l52 l52 l52: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l35 l35 l35: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l21 l21 l21: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l6 l6 l6: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l34 l34 l34: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l46 l46 l46: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l53 l53 l53: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l19 l19 l19: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l33 l33 l33: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l40 l40 l40: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l47 l47 l47: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l58 l58 l58: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l37 l37 l37: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l11 l11 l11: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l49 l49 l49: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l32 l32 l32: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l63 l63 l63: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l28 l28 l28: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l42 l42 l42: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l2 l2 l2: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l23 l23 l23: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l4 l4 l4: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l44 l44 l44: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l51 l51 l51: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l16 l16 l16: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l65 l65 l65: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l30 l30 l30: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l56 l56 l56: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l39 l39 l39: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l43 l43 l43: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l60 l60 l60: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l1 l1 l1: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l13 l13 l13: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l31 l31 l31: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l9 l9 l9: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l14 l14 l14: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l25 l25 l25: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l55 l55 l55: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l8 l8 l8: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l27 l27 l27: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l0 l0 l0: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l12 l12 l12: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l61 l61 l61: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l26 l26 l26: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l54 l54 l54: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l24 l24 l24: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l3 l3 l3: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l41 l41 l41: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l20 l20 l20: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l62 l62 l62: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l45 l45 l45: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l59 l59 l59: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l66 l66 l66: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l57 l57 l57: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l38 l38 l38: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l10 l10 l10: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l36 l36 l36: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l29 l29 l29: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l15 l15 l15: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l64 l64 l64: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
l50 l50 l50: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70x71 = x71x72 = x72x73 = x73x74 = x74x75 = x75x76 = x76x77 = x77x78 = x78x79 = x79x80 = x80x81 = x81x82 = x82x83 = x83x84 = x84
and for every transition t, a duplicate t is considered.

2 SCC Decomposition

We consider subproblems for each of the 3 SCC(s) of the program graph.

2.1 SCC Subproblem 1/3

Here we consider the SCC { l23, l20 }.

2.1.1 Transition Removal

We remove transition 23 using the following ranking functions, which are bounded by 0.

l20: −2⋅x45 + 2⋅x48
l23: −2⋅x45 + 2⋅x48 + 1

2.1.2 Transition Removal

We remove transition 24 using the following ranking functions, which are bounded by 0.

l23: 0
l20: −1

2.1.3 Trivial Cooperation Program

There are no more "sharp" transitions in the cooperation program. Hence the cooperation termination is proved.

2.2 SCC Subproblem 2/3

Here we consider the SCC { l57, l56, l55, l1, l53, l52, l54 }.

2.2.1 Transition Removal

We remove transition 57 using the following ranking functions, which are bounded by 0.

l1: 2⋅x33 + x46
l53: −1 + 2⋅x33 + x46
l52: 2⋅x33 + x46
l57: 2⋅x34 + x47
l56: 2⋅x34 + x47
l55: 2⋅x34 + x47
l54: −1 + 2⋅x33 + x46

2.2.2 Transition Removal

We remove transitions 63, 62, 61, 60, 59, 58 using the following ranking functions, which are bounded by 0.

l52: 0
l1: −1
l57: 1
l56: 2
l55: 3
l54: 4
l53: 5

2.2.3 Trivial Cooperation Program

There are no more "sharp" transitions in the cooperation program. Hence the cooperation termination is proved.

2.3 SCC Subproblem 3/3

Here we consider the SCC { l25, l29, l27, l31, l32, l30, l28, l26 }.

2.3.1 Transition Removal

We remove transition 28 using the following ranking functions, which are bounded by 0.

l25: x36
l27: −1 + x36
l26: x36
l32: x37
l31: x37
l30: x37
l29: x37
l28: −1 + x36

2.3.2 Transition Removal

We remove transitions 35, 34, 33, 32, 31, 30, 29 using the following ranking functions, which are bounded by 0.

l26: 0
l25: −1
l32: 1
l31: 2
l30: 3
l29: 4
l28: 5
l27: 6

2.3.3 Trivial Cooperation Program

There are no more "sharp" transitions in the cooperation program. Hence the cooperation termination is proved.

Tool configuration

AProVE