For the Mr. Perkins's Quilt Square packing problem Solutions by Lance Gay, Erich Friedman, Richard Guy, Bouwkamp, Duijvestijn and Antony Boucher. Mathematica code for displaying these is at http://mathworld.wolfram.com/MrsPerkinsQuilt.html Search programs by Lance Gay and Antony Boucher follow the list of best known solutions. Improvements to this list should be sent to ed@mathpuzzle.com 1---1 {{1}} 2---4 {{1,1},{1,1}} 3---6 {{2,1},{1},{1,1,1}} 4---7 {{2,2},{2,1,1},{1,1}} 5---8 {{3,2},{1,1},{2,1,2},{1}} 6---9 {{3,3},{3,2,1},{1},{1,1,1}} 7---9 {{4,3},{1,2},{3,1,1},{2,2}} 8--10 {{4,4},{4,2,2},{2,1,1},{1,1}} 9--10 {{5,4},{1,1,2},{4,2,1},{3},{2}} 10-11 {{5,5},{5,3,2},{1,1},{2,1,2},{1}} 11-11 {{5,3,3},{2,4},{3,2,2},{4,4},{3}} 12-11 {{7,5},{2,3},{5,2,1,1},{1,4},{3}} 13-11 {{7,6},{2,4},{6,1},{3},{1,3},{2,2}} 14-12 {{6,4,4},{5,3},{3,3},{3},{5,5,1},{4}} 15-12 {{8,7},{3,4},{4,2,2},{2,5},{4},{3,3}} 16-12 {{7,6,3},{3},{4,5},{4,3},{1,6},{5},{5}} 17-12 {{9,8},{1,3,4},{8,2},{2,2,1},{5},{4}} 18-13 {{7,7,4},{4},{7,6,1},{5},{1,5,5},{4,4}} 19-13 {{7,7,5},{5},{6,5,3},{2,3,3},{7},{6},{6}} 20-13 {{8,6,6},{5,7},{5,3},{2,3,3},{7},{7},{6}} 21-13 {{9,8,4},{4},{1,5,6},{6,4},{8,1},{7},{6}} 22-13 {{12,10},{3,7},{10,1,1},{5},{2,5},{4,1},{3}} 23-13 {{12,11},{1,3,7},{11,2},{5},{2,5},{4,1},{3}} 24-14 {{10,7,7},{4,10},{5,5},{4},{9,5},{3,7},{4,4}} 25-14 {{9,9,7},{2,5},{8,9,3},{8},{8},{7,2},{5,5}} 26-14 {{10,9,7},{2,5},{3,8},{8,2},{5},{5},{9,9},{8}} 27-14 {{11,9,7},{7},{2,7},{8,5},{2,5},{11,3},{8},{8}} 28-14 {{11,8,9},{7,1},{10},{7,4},{3,4,4},{10},{9,9}} 29-14 {{15,14},{1,3,3,7},{14,2},{5,3},{2,1},{8},{7}} 30-15 {{11,11,8},{4,4},{11,10,1},{9},{1,9,9},{8,4},{4}} 31-15 {{12,8,11},{4,4},{1,10},{4,8,9},{4},{11,1},{10,10}} 32-15 {{13,9,10},{4,4,1},{11},{9,4,8},{4},{1,11,11},{10}} 33-15 {{12,12,9},{9},{10,9,5},{4,1},{10},{1,12},{11},{5,5}} 34-15 {{12,13,9},{9},{11,1},{9,5},{4,5,5},{12,1},{11},{11}} 35-15 {{12,13,10},{3,7},{12},{12,4},{11},{11,1},{10,3},{7,7}} 36-15 {{14,11,11},{9,13},{9,5},{4,1},{5,5},{13},{1,12},{11}} 37-15 {{14,11,12},{3,7,1},{13},{10,7},{7},{3,4},{13},{12,12}} 38-15 {{21,17},{8,9},{17,4},{6,5,1},{4,6},{1,8},{7},{6}} 39-15 {{17,10,12},{8,2},{14},{8,8,1},{9},{14,2},{1,13},{12}} 40-16 {{15,12,13},{11,1},{14},{11,4},{4},{3,4,4,4},{14},{13,13}} 41-15 {{23,18},{7,11},{18,3,2},{1,5,3},{4},{2,1},{12},{11}} 42-16 {{16,16,10},{10},{13,10,5,4},{5,9},{5},{1,4},{16},{13},{13}} 43-16 {{15,16,12},{4,8},{14,1},{13,8},{8},{4,4},{1,15},{14,14}} 44-16 {{15,16,13},{3,10},{14,1},{13,7},{3,14},{3},{15,15},{7,7}} 45-16 {{16,16,13},{4,9},{15,16,1},{5},{14},{14,1},{13,4},{9,9}} 46-16 {{17,14,15},{3,10,1},{16},{13,7},{3,7,7},{3},{16},{15,15}} 47-16 {{16,17,14},{7,7},{15,1},{14,4},{7,11},{3,4},{16,16},{15}} 48-16 {{19,14,15},{12,1,1},{17},{12,7},{5,7,7},{17},{1,16},{15}} 49-16 {{18,15,16},{7,7,1},{17},{14,4},{7,11},{3,4},{17},{16,16}} 50-16 {{28,22},{4,5,13},{1,2,1},{1},{6},{22,9},{4,2},{15},{13}} 51-16 {{22,14,15},{13,1},{16},{13,9},{9,4},{4,5},{20},{16,1},{15}} 52-16 {{28,24},{7,9,8},{24,4},{1,6},{5},{1,7},{4,6},{15},{13}} 53-16 {{29,24},{6,5,13},{24,4,1},{5},{3,4},{7},{6,3},{16},{13}} 54-17 {{24,17,13},{4,9},{7,14},{9},{17,7,7},{14,23},{13,4},{9,9}} 55-17 {{19,20,16},{8,8},{18,1},{17,4},{12,8},{4,4},{1,19},{18,18}} 56-17 {{28,28},{28,15,13},{1,5,7},{1},{13,3},{3,3,2},{1,8},{7}} 57-17 {{30,27},{5,7,15},{27,2,1},{1},{3,3,2},{1,8},{7},{15,15}} 58-17 {{28,20,10},{10},{11,19},{16,9,3},{14},{9},{19},{14,2},{1,13},{12}} 59-17 {{30,29},{2,5,7,15},{29,1},{3},{3,3,2},{1,8},{7},{15,15}} 60-17 {{32,28},{2,3,7,16},{1,1},{1,4},{28,5},{2,9},{7},{16,16}} 61-17 {{25,18,18},{7,11,18},{16,8,8},{4,7},{8,12},{25},{20,4},{16}} 62-17 {{23,19,20},{9,9,1},{21},{18,5},{9,14},{4,5},{21,1},{21},{20}} 63-17 {{25,18,20},{8,8,2},{22},{16,8,1},{17},{8},{22,2},{1,21},{20}} 64-17 {{29,19,16},{3,13},{11,11},{16,13},{1,12},{12,11},{23},{3,22},{19}} 65-17 {{36,29},{16,13},{14,13,9},{4,9},{4,20,1},{5},{1,16},{15},{14}} 66-17 {{35,31},{8,10,13},{31,4},{12},{7,3},{4,12},{3,8},{15},{10,10}} 67-17 {{39,28},{12,7,9},{5,2},{11},{28,8,3},{2,7,8},{5},{20},{19}} 68-17 {{25,20,23},{5,12,3},{26},{23,7},{19},{20,3},{7,19},{17,5},{12}} 69-17 {{39,30},{7,12,11},{2,5},{30,11},{3,8},{8,7,2},{5},{20},{19}} 70-17 {{39,31},{5,7,19},{3,2},{1,8},{31,12},{5,3},{2,1},{20},{19}} 71-18 {{36,35},{1,3,4,9,18},{35,2},{2,2,1},{5},{4},{9,9},{18,18}} 72-18 {{36,36},{36,19,17},{4,7,6},{17,2},{6},{3,3},{3,2,2},{10},{9}} 73-18 {{42,31},{10,21},{1,3,6},{31,10,2},{5},{1,5},{1},{3,3},{21,21}} 74-18 {{37,37},{37,19,18},{2,5,11},{18,1},{3},{8},{3,8},{6,1,1},{5}} 75-18 {{39,36},{3,3,7,7,16},{36,9},{5,9},{11,3},{3},{2,23},{5},{16}} 76-18 {{40,36},{4,3,9,20},{1,2},{36,7,1,1},{4},{2,11},{9},{20,20}} 77-18 {{40,37},{3,6,10,18},{37,3,3},{8,4},{6,8},{8},{6},{4,22},{18}} 78-18 {{39,39},{39,20,8,11},{5,3},{2,12},{7},{19,8},{5,7},{11,2},{9}} 79-18 {{42,37},{3,3,10,21},{1,5},{1},{37,6},{3,2},{1,11},{10},{21,21}} 80-18 {{44,36},{8,28},{36,16},{9,7},{5,7,16},{2,5},{11},{3,2},{9},{8}} 81-18 {{46,35},{12,23},{35,7,3,1},{2,11},{5},{5,2},{1,4},{3},{23,23}} 82-18 {{51,31},{15,16},{9,5,1},{4,13},{31,16,4},{9},{13},{22},{15,1},{14}} 83-18 {{44,39},{3,4,10,22},{2,1},{5},{39,7},{3,1,1},{12},{10},{22,22}} 84-18 {{34,25,25},{19,31},{24,10},{14,15},{3,28},{26,12},{9,9},{2,16},{14}} 85-18 {{39,25,21},{4,17},{15,14},{1,16},{21,17,1},{15},{16},{31},{4,29},{25}} 86-18 {{47,39},{7,5,8,19},{2,3},{9},{39,8},{11},{12,5},{2,28},{7},{19}} 87-18 {{48,39},{7,12,20},{2,5},{39,11},{9,8},{8,3},{28},{2,7},{5},{20}} 88-18 {{50,38},{15,23},{38,8,4},{1,6,8},{5},{7,1},{6,6},{4,27},{23}} 89-18 {{48,41},{5,5,11,20},{2,8},{41,9},{2,9},{3,7},{12},{8,28},{20}} 90-18 {{49,41},{8,12,21},{41,9,7},{3,9},{2,8},{11},{2,28},{5,5},{21}} 91-18 {{52,39},{15,24},{39,7,6},{4,6,5},{1,9},{8},{1,4},{7},{28},{24}} 92-19 {{46,46},{46,23,23},{23,12,11},{1,3,7},{11,2},{5},{2,5},{4,1},{3}} 93-19 {{48,45},{5,4,12,24},{45,2,1},{1},{1,3},{7,2},{5},{12,12},{24,24}} 94-19 {{47,47},{47,24,23},{1,3,7,12},{23,2},{5},{2,5},{4,1},{3},{12,12}} 95-19 {{48,47},{2,5,4,12,24},{47,1},{3},{1,3},{7,2},{5},{12,12},{24,24}} 96-19 {{48,48},{48,28,20},{7,5,8},{2,3},{9},{20,8},{11},{12,5},{2,9},{7}} 97-19 {{52,45},{6,13,26},{2,4},{45,6,1},{3},{1,3},{2,2},{13,13},{26,26}} 98-19 {{49,49},{49,26,23},{2,2,6,13},{1,3},{23,4},{2,1},{7},{6},{13,13}} 99-19 {{56,43},{7,8,28},{3,3,1},{2,7},{3,5},{43,15,1},{1},{13},{28,28}} 100-19 {{58,42},{5,5,11,21},{7,3},{3},{4,10},{4,3},{1,6},{42,21},{37},{21}} 101-19 {{51,50},{2,5,13,11,19},{50,1},{3},{8},{3,8},{19,1,1},{5},{32},{19}} 102-19 {{53,49},{4,7,7,8,23},{49,8},{5,9},{8},{9,4},{14,7},{9},{30},{23}} 103-19 {{53,50},{5,13,12,20},{50,1,2},{1},{8},{1,3,8},{20,2},{5},{33},{20}} 104-19 {{53,51},{1,5,13,12,20},{1},{51,3},{8},{1,3,8},{20,2},{5},{33},{20}} 105-19 {{56,49},{14,9,26},{49,7},{9},{8,9,4},{5,8},{8},{7,7},{4,30},{26}} 106-19 {{58,48},{10,11,27},{48,10,9,1},{8,4},{4},{1,12,8},{11},{4,31},{27}} 107-19 {{56,51},{5,9,12,25},{51,10},{6,3},{10,5},{16},{5},{9,3,3},{31},{25}} 108-19 {{56,52},{4,11,11,26},{52,8},{1,10,11},{9},{9,9,1},{8,4},{30},{26}} 109-19 {{57,52},{10,16,26},{52,5},{9,6},{3,9,10},{12},{6,3},{5,31},{3},{26}} 110-19 {{58,52},{6,19,27},{52,12},{6,5,1},{12,8},{1,4},{7},{4},{4,31},{27}} 111-19 {{57,54},{6,5,5,12,26},{54,3},{10},{9},{3,9},{16,6},{10,5},{31},{26}} 112-19 {{60,52},{8,9,11,24},{52,15,1},{8,2},{13},{8},{13,2},{1,36},{11},{24}} 113-19 {{59,54},{10,16,28},{54,5},{9,6},{3,10,9},{12},{6,3},{5,5},{31},{28}} 114-19 {{62,52},{8,8,11,25},{2,11,3},{52,12},{14},{3,8},{15},{2,37},{10},{25}} 115-19 {{62,53},{4,8,15,26},{4},{1,11},{53,10},{4,11},{17,8},{1,36},{9},{26}} 116-19 {{60,56},{4,12,6,7,27},{56,8},{5,1},{8},{1,4},{21},{12},{6,33},{27}} 117-19 {{65,52},{20,32},{52,8,5},{3,2},{1,13,8},{12},{5,3},{2,1},{33},{32}} 118-19 {{62,56},{6,21,29},{56,12},{8,4},{1,12,8},{5},{7,1},{6},{4,33},{29}} 119-19 {{70,49},{17,32},{8,9},{49,17,4},{6,5,1},{4,6},{1,8},{7},{38},{32}} 120-19 {{62,58},{8,9,15,26},{58,4},{11,1},{10},{4,11},{17,8},{1,36},{9},{26}} 121-20 {{63,58},{2,4,10,21,21},{2},{1,5},{58,6},{2,2,1},{11},{10},{21,42},{21}} 122-19 {{66,56},{10,15,31},{56,12,8},{3,12},{4,7},{13,3},{10},{8,4},{35},{31}} 123-20 {{64,59},{5,16,14,24},{59,5,5},{4,6},{2,2},{4,10},{24,2},{6},{40},{24}} 124-20 {{65,59},{3,15,8,8,25},{3},{59,9},{7,9},{25,3,3},{1,8},{7},{40},{25}} 125-20 {{64,61},{3,4,16,14,24},{61,3,3},{2,2},{10},{4,10},{24,2},{6},{40},{24}} 126-19 {{68,58},{9,17,32},{1,8},{58,11},{4,10,11},{15},{9,1},{8,4},{36},{32}} 127-20 {{65,62},{6,15,8,8,25},{62,3},{9},{7,9},{25,3,3},{1,8},{7},{40},{25}} 128-20 {{66,62},{4,10,12,13,23},{62,8},{10},{8},{8,4},{3,10},{7},{23,3},{43},{23}} 129-20 {{68,61},{7,6,6,14,28},{12},{61,7,7},{10,4},{14},{6,10},{16},{12,40},{28}} 130-20 {{67,63},{7,13,9,7,27},{63,4},{1,6},{7},{5},{4,5},{27,1},{13},{40},{27}} 131-20 {{68,63},{10,11,14,28},{63,5},{14,1},{12},{14},{1,1,5,5},{16},{12,40},{28}} 132-20 {{70,62},{8,6,6,15,27},{12},{62,16},{3,12},{6,9},{19,3},{8,43},{8},{27}} 133-20 {{69,64},{5,15,8,9,27},{64,10},{7,1},{10},{27,5},{1,1,8},{7},{42},{27}} 134-20 {{69,65},{8,9,19,29},{65,4},{11,1},{10},{21,9,10},{8,1},{40},{4,4},{29}} 135-20 {{72,63},{18,13,32},{63,9},{5,8},{11,9,9,3},{11},{13,5},{11},{8,40},{32}} 136-20 {{70,66},{8,9,19,30},{66,4},{11,1},{10},{21,8,11},{4,4},{1,40},{9},{30}} 137-20 {{71,66},{10,13,14,29},{66,5},{15},{12,1},{15},{17,5,5},{1,1,42},{12},{29}} 138-20 {{71,67},{8,9,19,31},{67,4},{11,1},{10},{21,11,8},{4,4},{10,1},{40},{31}} 139-20 {{73,66},{7,6,6,16,31},{1,11},{66,15},{1,15},{5,7},{20},{7},{11,42},{31}} 140-20 {{72,68},{8,9,19,32},{68,4},{11,1},{10},{21,10,9},{1,4,4},{11},{40},{32}} 141-20 {{74,67},{11,22,34},{67,7},{3,8},{10},{5,3},{1,18,6},{1},{16},{6},{40},{34}} 142-20 {{75,67},{8,11,9,8,31},{67,16},{8},{2,7},{13},{15},{20,9},{2,44},{11},{31}} 143-20 {{76,67},{10,21,36},{67,4,4,1},{11},{8},{19,10,11},{9,1},{8,4},{40},{36}} 144-20 {{76,68},{11,21,36},{68,4,4},{1,10},{9},{19,10,11},{9,1},{8,4},{40},{36}} 145-20 {{77,68},{9,25,34},{68,18},{2,6,8,9},{16,4},{8,2},{10},{43},{4,4},{34}} 146-20 {{77,69},{8,13,15,33},{69,16},{11,2},{8,9},{8},{20,7},{9},{13,2},{44},{33}} 147-20 {{80,67},{11,20,36},{2,9},{67,15},{13,16},{8,7},{2,11},{9},{8},{8,44},{36}} 148-20 {{78,70},{16,19,35},{70,8},{12,9,3},{6,16},{3,12},{15},{8,43},{6,6},{35}} 149-20 {{80,69},{13,20,36},{69,9,2},{8,7},{9},{11,16},{8},{15,2},{13},{8,44},{36}} 150-20 {{79,71},{8,11,9,9,34},{71,16},{2,16},{13},{21,8},{7,9},{13,2},{45},{34}} 151-20 {{90,61},{24,37},{4,7,13},{1,3},{61,24,6},{4,6},{5,5},{3,53},{13},{37}} 152-20 {{82,70},{12,21,37},{70,16,8},{7,1},{6,16},{1,12},{17},{8,45},{6,6},{37}} 153-20 {{82,71},{13,21,37},{71,9,2},{7,8},{16},{13,16},{2,11},{9,9},{8,45},{37}} 154-20 {{91,63},{24,39},{4,5,15},{63,24,7,1},{6},{9,4},{6,52},{8,1},{7},{39}} 155-21 {{80,75},{10,5,8,26,26},{75,5},{5},{4,4},{18,2},{10},{6,4},{2,54},{26},{26}} 156-21 {{81,75},{3,7,11,27,27},{3},{75,5,4},{3,4},{6,1},{5},{16},{11},{27,54},{27}} 157-20 {{86,71},{14,22,35},{1,13},{71,16},{9,13},{4,9},{20},{5,4},{1,51},{15},{35}} 158-20 {{87,71},{15,20,36},{1,5,9},{71,13,4},{9},{4,16},{13},{22},{1,51},{14},{36}} 159-21 {{82,77},{5,14,16,14,28},{77,10},{1,12,1},{14},{11},{1},{5,12},{5},{28},{54},{28}} 160-21 {{84,76},{8,12,12,14,30},{76,16},{12,10,2},{16},{1,1,8},{1,1},{30},{54},{30}} 161-21 {{84,77},{4,24,19,30},{4},{77,6,1},{5},{11},{4,4,11},{1,7},{30,6},{54},{30}} 162-21 {{84,78},{5,24,19,30},{1,4},{78,7},{4},{11},{4,4,11},{1,7},{30,6},{54},{30}} 163-21 {{84,79},{4,4,24,17,30},{1,7},{79,6},{13},{4,13},{4},{30,6,1},{5},{54},{30}} 164-21 {{84,80},{4,5,24,17,30},{80,7,1},{6},{13},{4,13},{4},{30,6,1},{5},{54},{30}} 165-21 {{86,79},{7,24,16,32},{79,14},{16},{14},{11,5,8},{5},{2,54},{7},{19,6},{13},{32}} 166-21 {{87,79},{2,3,21,20,33},{1,1},{5},{79,13},{2,5,13},{33,1},{3},{8},{54},{33}} 167-21 {{87,80},{7,21,9,10,33},{80,14},{7,1,1},{12},{7},{33,2},{1,11},{10},{54},{33}} 168-21 {{89,79},{10,11,23,35},{79,19,1},{12},{6,11,12,6},{25},{6},{10,1},{54},{10},{35}} 169-21 {{87,82},{8,21,20,33},{82,2,3},{1,1},{13},{2,5,13},{33,1},{3},{8},{54},{33}} 170-21 {{92,78},{7,7,10,16,38},{7,7},{4,6},{78,18,14},{22},{4,10},{22},{16,54},{38}} 171-21 {{87,84},{2,8,21,20,33},{1,1},{84,5},{13},{2,5,13},{33,1},{3},{8},{54},{33}} 172-21 {{90,82},{12,17,17,36},{82,4,4},{20},{15,19},{22,8,5},{1,54},{3,3},{14},{36}} 173-21 {{90,83},{14,16,17,36},{83,7},{21},{14,1,1},{19},{7,7},{19,2},{1,54},{17},{36}} 174-21 {{92,82},{10,16,18,38},{82,20},{14,2},{20},{24,10},{2,2,54},{7,7},{7,7},{38}} 175-21 {{93,82},{11,14,18,39},{82,19,3},{9,4,4},{5,21},{7,7},{24,9},{15,54},{39}} 176-21 {{92,84},{8,20,19,37},{84,16},{1,18},{4,17},{12,8},{4,4},{19,1},{18,55},{37}} 177-21 {{95,82},{17,24,41},{82,9,4},{14,7},{9},{7,7,17},{23,14},{4,54},{9,9},{41}} 178-21 {{94,84},{10,11,23,40},{84,18,1,1},{13},{6,17},{4,4,5},{26},{11},{14,54},{40}} 179-21 {{96,83},{13,28,42},{83,13,13},{14,10,2},{8,8,14},{18,8},{14},{2,54},{10},{42}} 180-21 {{98,82},{7,7,24,44},{7,7},{2,2,10},{82,20},{14,20},{18,2},{16},{10,54},{44}} 181-21 {{98,83},{15,24,44},{83,21,9},{13,20},{18,3},{2,2,9},{7},{10,54},{8,8},{44}} 182-21 {{96,86},{10,11,23,42},{86,19,1},{12},{6,10,19},{25},{10},{1,6,54},{11},{6},{42}} 183-21 {{101,82},{14,21,47},{7,7},{82,18,1},{1},{17,19},{17,1},{16,2},{14,7},{54},{47}} 184-21 {{98,86},{6,11,25,44},{6},{1,10},{86,19},{10},{6,19},{23,12},{11,1},{10,54},{44}} 185-21 {{103,82},{33,49},{82,13,8},{5,3},{2,1},{21,13},{20},{8,3,1,1},{2},{54},{49}} 186-21 {{98,88},{19,25,44},{88,10},{1,12,6},{11},{6,6,19},{23,12},{11,1},{10,54},{44}} 187-21 {{104,83},{20,21,42},{1,5,14},{83,18,4},{21},{9},{5,9,9},{23},{1,62},{19},{42}} 188-21 {{104,84},{8,8,25,43},{16},{84,16,4},{12,8},{7,18},{4,11},{25,7},{18,61},{43}} 189-21 {{105,84},{33,51},{84,13,8},{5,3},{2,1},{21,13},{20},{8,5},{1,1,54},{2},{51}} 190-21 {{106,84},{20,21,43},{2,17,1},{22},{84,16,8},{8},{1,8,8},{25},{2,63},{18},{43}} 198-21 {{106,92},{12,13,19,48},{2,9,1},{14},{92,16},{19},{9},{3,11},{28},{20,10},{58},{48}} 199-21 {{110,89},{36,53},{89,10,11},{9,1},{8,4},{21,10,9},{17},{1,8},{11},{4,57},{53}} 202-21 {{106,96},{20,12,13,51},{96,10},{8,4},{3,10},{7},{35,3},{20},{12,8},{4,55},{51}} 205-21 {{112,93},{22,23,48},{93,16,3},{13,12},{11,12},{11,11,1},{29},{13},{19,3},{64},{48}} 206-21 {{113,93},{23,25,45},{93,17,3},{19,7},{5,20},{12},{12,5},{7,26,3},{68},{19},{45}} 207-21 {{122,85},{41,44},{85,33,4},{29,13,3},{10,37},{23},{52,10},{3,16,4},{13},{41},{29}} 216-21 {{126,90},{32,58},{4,11,17},{90,32,8},{1,10},{9},{8,9},{15,4},{11,1},{68},{58}} 253-22 {{141,112},{27,28,57},{1,9,16,1},{1},{29},{112,23,7},{16},{16},{32,7},{2,84},{25},{57}} 258-22 {{142,116},{25,33,58},{1,12,12},{116,27},{4,4,25},{12,20},{4,8},{31},{27,1},{84},{58}} 259-22 {{142,117},{25,34,58},{117,31,19},{10,24},{15,14},{28,3},{12,84},{9,9},{16,2},{14},{58}} 261-22 {{153,108},{37,71},{8,11,9,9},{108,37,16},{2,16},{13},{21,8},{7,9},{13,2},{82},{71}} 264-22 {{151,113},{47,66},{113,23,15},{6,7,15,19},{7,13,1},{8},{1,6},{24},{23},{19},{85},{66}} 265-22 {{100,79,86},{23,49,7},{93},{72,26,2},{25},{25,1},{24,1,1},{51},{21,28},{93},{86,86}} 268-22 {{148,120},{25,27,68},{3,10,12},{10,17},{120,24,7},{17},{15,7},{24},{28,28},{12,80},{68}} 269-22 {{145,124},{25,39,60},{124,17,4},{14,15},{16,1},{15},{1,17,21},{16},{31},{29,4},{85},{60}} 273-22 {{149,124},{29,31,64},{124,21,4},{17,16},{15,16},{1,15},{39},{14,1},{17},{25,4},{85},{64}} 333-23 {{195,138},{53,85},{21,32},{138,21,10,9,17},{1,8},{11},{36,10},{32},{9,1},{8,110},{17},{85}} 333-23 {{194,139},{47,92},{4,20,10,13},{4},{139,47,12},{7,3},{4,12},{3,8},{35},{20},{10,102},{92}} 340-23 {{192,148},{41,37,70},{4,33},{3,13,29},{148,37,10},{23},{10,122},{4,16,3},{13},{41},{29},{70}} 343-23 {{187,156},{44,39,73},{156,20,11},{5,34},{9,2},{31,20},{29},{11,9},{2,114},{5,39},{34},{73}} 345-23 {{193,152},{82,70},{152,41},{11,18,41},{2,5,4},{111,11,1},{3},{1,3},{7,2},{23},{18},{82}} 347-23 {{202,145},{47,98},{20,27},{145,47,10},{18,6,6},{11,1},{10,18},{1,20},{19},{12,6},{104},{98}} 348-23 {{200,148},{33,37,78},{29,4},{41},{148,29,13,10},{3,23,13},{16},{10,3},{122},{41,4},{37},{78}} 350-23 {{209,141},{48,93},{17,12,19},{5,7},{3,19},{26},{141,48,23},{7,12},{25,5},{3,116},{20},{93}} 351-23 {{206,145},{52,93},{18,14,20},{145,52,9},{9,5},{22,5},{4,1},{21},{18},{21,1},{20,113},{93}} 353-23 {{197,156},{39,34,83},{5,29},{2,11,31},{156,34,9},{20},{9,20},{5,44,2},{11},{39},{114},{83}} 355-23 {{206,149},{51,98},{12,20,19},{149,51,6},{18},{1,18},{10,11},{27,1},{6,6},{20,10},{108},{98}} 369-23 {{203,166},{41,44,81},{166,33,4},{29,13,3},{10,37},{23},{52,10},{3,16,4},{13},{122},{29},{81}} 373-23 {{207,166},{37,44,85},{4,23,10},{166,29,16},{3,41},{13},{13,3},{10,29},{52},{4,122},{33},{85}} 423-24 {{186,114,123},{105,9},{132},{62,60,31,33},{29,2},{27,77,36},{17,49,50},{47,15},{168},{32},{128},{127}} 433-24 {{236,197},{30,49,118},{7,12,11},{2,5},{197,30,11},{3,8},{8,7,2},{5},{69},{19},{49},{118,118}} 435-24 {{200,112,123},{101,11},{134},{95,50,55},{30,27,44},{3,24},{12,21},{45,5},{63,9},{178},{54},{140},{117}} 437-24 {{254,183},{63,120},{16,20,27},{183,63,8},{24},{13,7},{18,16},{7,6},{6},{31},{2,14},{26},{134},{120}} 439-24 {{260,179},{69,110},{17,28,24},{179,69,12},{7,10},{16,3},{7,17},{13},{12,13,3},{10},{41},{150},{110}} 445-24 {{263,182},{60,122},{21,39},{182,60,19,23},{16,23},{15,4},{11,16},{26},{5,11},{21},{4,141},{15},{122}} 446-24 {{252,194},{32,36,126},{15,9,8},{4,32},{1,11},{10},{11,4},{8,17},{194,68,1},{9},{58},{126,126}} 448-24 {{259,189},{70,119},{189,70,38,32},{6,9,17},{32,8,4},{1,8},{5},{7,1},{6},{4,140},{17},{119}} 451-24 {{269,182},{71,111},{16,15,40},{4,11},{182,71,15,14,3},{7},{4,14},{1,17},{16},{7,158},{40},{111}} 457-24 {{252,205},{37,59,109},{15,22},{205,34,13},{8,7},{22,37,29},{21},{62,15},{8,21},{47,13},{143},{109}} 458-24 {{249,209},{34,24,38,113},{10,14},{6,38},{52},{209,46},{14,24},{50,10},{6,23,23},{40},{23,136},{113}} 459-24 {{198,126,135},{117,9},{144},{98,55,45},{10,116,36},{65},{180},{68,30},{8,57},{38},{16,100},{95,11},{84}} 461-24 {{273,188},{64,124},{25,39},{188,64,17,4},{14,15},{16,1},{15},{1,17,21},{16},{31},{29,4},{149},{124}} 468-24 {{257,211},{44,56,111},{13,31},{211,35,11},{25,31},{24},{6,25},{65},{19,6},{13,24},{46,11},{146},{111}} 468-24 {{252,216},{32,58,126},{4,11,17},{216,32,8},{1,10},{9},{8,9},{15,4},{11,1},{68},{58},{126,126}} 479-24 {{175,140,164},{35,29,52,24},{28,160},{6,23},{130,86},{43,60},{26,17},{77},{44,68},{174},{5,155}} ---------------------------------------------------------------------------------------------- Primitive Rectangles 11x13-6 [7,6][1,5][4,4] 17x20-7 [11,9][1,8][1][6,6] 19x21-7 [11,10][1,9][4,8][4] 18x19-7 [11,8][3,5][7,7][5] 29x31-8 [19,10][10][6,12,1][11][6] 30x31-8 [17,13][4,9][7,14][9][7] ---------------------------------------------------------------------------------------------- Primitive Quilts up to order 53, found by Lance Gay. "I have continued my search for optimal primitive quilts through side 53. I found no quilts of edge (10,11,12,13,17,22,23,29,38,41,50,52,53) I have categorized some of them as composites. This first list are those which do not appear to be composite." "I have completed my search for primitive quilts of side 54 to 70. I found no primitives with sides 69 or 70. I also have done some searching of sides 71, 72, and 80. Below are some new quilts which I believe are record holders. Some are based on new primitives and some based on primitives known for some time. I am not totally satisfied in my search for primitives for sides 59 through 61 and may do more intensive searches for these sides." {{{6,4,4},{3,5},{3,3},{3},{5,1},{5},{4}}, {{6,4,4},{5,3},{3,3},{3},{5,5,1},{4}}, {{6,5,3},{3},{1,4},{4,3},{3},{5,5},{4}}, {{6,5,3},{3},{4,1},{3,3},{4},{5,5},{4}}, {{8,7},{3,4},{4,2,2},{2,5},{4},{3,3}}, {{7,6,3},{3},{4,5},{4,3},{1,6},{5},{5}}, {{10,8},{3,5},{3,3,4},{3},{5,1},{5},{4,4}}, {{10,8},{3,5},{4,3,3},{3},{5,1},{5},{4},{4}}, {{10,8},{3,5},{4,5,1},{4},{5},{4},{3,3,3}}, {{10,8},{5,3},{4,3,3},{3},{5,5,1},{4},{4}}, {{10,9},{1,3,5},{6,5},{3},{5},{4,4},{3,3}}, {{10,9},{3,6},{6,2,2},{7},{4,2},{3,3},{2}}, {{10,9},{4,5},{3,4,3},{3},{1,6},{5},{5},{3}}, {{10,9},{4,5},{4,3,3},{1,6,3},{5},{5},{3}}, {{10,9},{4,5},{6,4},{1,3},{5},{5},{3,3},{3}}, {{10,9},{5,4},{6,4},{1,3},{5,5},{3,3},{3}}, {{7,7,5},{5},{6,5,3},{2,6},{7},{6},{3,3}}, {{11,9},{4,5},{6,5},{3,1},{6},{4,4},{3,3}}, {{8,6,6},{5,7},{5,3},{2,6},{7},{7},{3,3}}, {{11,10},{4,6},{5,3,3},{7,3},{5},{1,5},{4}}, {{9,8,4},{4},{1,5,6},{6,4},{8,1},{7},{6}}, {{10,7,7},{4,10},{5,5},{4},{9,5},{3,7},{4,4}}, {{10,7,7},{5,9},{5,5},{5},{9,1},{1},{1,8},{7}}, {{10,7,7},{9,5},{5,5},{5},{9,1},{8,1,1},{7}}, {{10,9,5},{5},{7,1,1},{5,5},{7},{9,1},{8},{7}}, {{10,9,6},{3,3},{7,8},{7,3},{3},{1,9},{8},{8}}, {{11,6,8},{5,1},{1},{9},{5,5,6},{9,1},{8,8}}, {{11,7,7},{5,9},{5,5,1},{6},{9,1},{9},{1},{7}}, {{11,9,5},{5},{1,7,1},{1},{6},{7,5},{9,9},{7}}, {{13,12},{1,7,4},{8,6},{4},{6,6,1},{5},{4,4}}, {{13,12},{4,8},{8,5},{2,2},{7,2},{5,5},{4,4}}, {{13,12},{5,7},{6,7},{3,2},{6},{6,3},{5,5},{3}}, {{14,11},{4,7},{7,6,1},{5},{7},{1,5,5},{4,4}}, {{9,9,7},{2,5},{7,5,8},{5},{2,3},{9},{8,8}}, {{9,9,7},{2,5},{8,7,5},{5},{2,3},{9},{8},{8}}, {{9,9,7},{2,5},{8,9,3},{8},{8},{7,2},{5,5}}, {{10,8,8},{2,5,9},{7,5},{5},{2,3},{9},{9},{8}}, {{10,9,7},{2,5},{3,8},{8,2},{5},{5},{9,9},{8}}, {{11,10,5},{5},{1,6,8},{7,5},{1,10},{1},{8},{8}}, {{14,12},{5,7},{6,5,3},{2,6},{7},{7},{6},{3,3}}, {{9,10,7},{7},{8,1},{7,4},{3,8},{9,9},{4,4}}, {{11,9,7},{7},{2,7},{8,5},{2,5},{11,3},{8},{8}}, {{12,10,5},{5},{7,8},{7,5},{1,10,1},{1},{9},{8}}, {{14,13},{1,5,7},{7,4,4},{4,9},{7},{6,1},{5}}, {{14,13},{6,7},{6,3,5},{3},{3,8},{7,2},{7},{5}}, {{15,12},{4,8},{8,6,1},{5},{1,7},{6,6},{4,4}}, {{11,8,9},{7,1},{10},{7,4},{3,4,4},{10},{9,9}}, {{12,8,8},{7,9},{7,5},{5,2},{2,3},{11},{9},{8}}, {{12,8,8},{9,7},{7,5},{2,5},{2,11,3},{9},{8}}, {{12,9,7},{2,5},{3,8},{8,7},{5},{2,11},{9},{8}}, {{12,9,7},{2,5},{8,3},{7,5},{8},{2,11},{9},{8}}, {{15,13},{6,7},{7,4,4},{4,9,1},{8},{6,1},{5}}, {{11,11,8},{8},{6,11,5},{6,7},{6},{1,8,8},{7},{7}}, {{11,11,8},{8},{8,8,6},{1,7},{7},{11,5},{7},{6,6}}, {{11,12,7},{7},{10,1},{11,2},{9},{9,1},{1},{7,7,7}}, {{11,12,7},{7},{9,1,1},{7,7},{7},{1,11,2},{10},{9}}, {{14,10,6},{6},{7,2,1},{1},{9},{8,3,3},{13},{9},{8}}, {{14,12,4},{4},{4},{7,9},{6,3,5},{3},{1,11},{10},{9}}, {{14,8,8},{5,11},{5},{5,5,4},{1,8},{11},{11},{4,4}}, {{14,8,8},{6,10},{7,7,3,3},{4,1,1},{12},{9,9}}, {{14,8,8},{9,7},{7,7},{7},{4,5},{9,9},{8,4},{4}}, {{16,14},{1,5,8},{1},{9,8},{5},{8},{1,6,6},{5,5}}, {{16,14},{1,7,6},{1},{7,5,5},{1,5},{9,9},{7},{5}}, {{16,14},{3,3,8},{7,8,1},{7},{8},{7},{6,6,3},{3}}, {{16,14},{5,9},{7,3,3,3},{11,3},{3},{7},{2,7},{5}}, {{16,14},{5,9},{7,9},{5},{7},{1,1,7},{1,6},{5,5}}, {{16,14},{6,8},{5,5,6},{1,5},{9,1},{1},{8},{8},{5}}, {{16,14},{6,8},{6,3,7},{3},{3,3},{8,1},{8},{7,7}}, {{16,14},{6,8},{6,5,5},{1,5},{1,1,9},{8},{8},{5}}, {{16,14},{6,8},{7,6,3},{3},{3,3},{8,1},{8},{7},{7}}, {{16,14},{7,7},{8,3,5},{3},{1,9,9},{2,2},{6,6}}, {{16,14},{8,6},{5,5,6},{1,5},{9,1},{1},{8,8},{5}}, {{16,14},{8,6},{7,6,3},{3},{3,3},{8,8,1},{7},{7}}, {{16,14},{9,5},{7,9},{5},{7},{1,7,1},{1},{6},{5,5}}, {{16,14},{9,5},{9,7},{5},{1,7,7,1},{1},{6},{5,5}}, {{17,13},{4,9},{6,6,4,5},{2,1,1},{8,8},{7,7}}, {{18,12},{7,5},{5},{8,5,5},{4,3},{8},{7,7},{4,4}}, {{11,11,9},{2,7},{10,9,5},{2,10},{2},{11},{10},{5,5}}, {{11,13,7},{7},{11},{11,1,1},{9},{9,2},{1,8},{7,7}}, {{11,13,7},{7},{9,2},{7,7,1},{8},{11,11,1},{1},{9}}, {{12,12,7},{7},{10,12,2},{9},{9,1},{1},{1,8},{7,7}}, {{12,12,7},{7},{7,7,9,1},{1},{8},{12,2},{10,1},{9}}, {{13,10,8},{8},{3,7},{8,8},{4,4},{4,3},{11},{10,10}}, {{13,12,6},{6},{1,1,7,9},{9,6},{12,1},{1},{10},{9}}, {{13,12,6},{6},{1,6,6,5},{9,5},{5},{13,4},{9},{9}}, {{13,12,6},{6},{5,13},{9,4},{9},{9},{1,6,6},{5,5}}, {{13,9,9},{7,11},{7,3,3},{4,9},{11},{11},{6,3},{3}}, {{14,10,7},{7},{5,5},{7,7},{1,6},{6,5},{11},{10,10}}, {{15,8,8},{6,10},{1,1,4},{7,7,3},{4,13},{9,9}}, {{16,10,5},{5},{9,6},{10,3,3},{6},{12,3},{9},{5,5}}, {{16,15},{1,1,5,8},{10,8},{5},{8},{7,1},{6},{5,5}}, {{16,15},{1,6,8},{10,7},{1,5},{1},{8},{8},{5,5},{5}}, {{16,15},{1,6,8},{5,7,5},{5},{1,10},{1},{8},{8},{5}}, {{16,15},{1,6,8},{7,5,5},{1,10,5},{1},{8},{8},{5}}, {{16,15},{1,6,8},{9,8},{3,3},{8},{7,7},{6,3},{3}}, {{16,15},{1,8,6},{10,7},{1,5},{1},{8,8},{5,5},{5}}, {{16,15},{4,4,7},{10,3,3},{12,2},{1,1},{9},{5,5}}, {{16,15},{5,10},{10,4,2},{2},{11},{6,4},{5,5},{2,2}}, {{16,15},{7,8},{6,7,3},{3},{6},{1,9},{8},{8},{3,3}}, {{16,15},{7,8},{7,6,3},{3},{1,9,6},{8},{8},{3,3}}, {{16,15},{7,8},{8,4,4},{4,2,2},{2,9},{8},{7,7}}, {{16,15},{7,8},{9,7},{1,6},{8},{8},{6,3},{3},{3,3}}, {{16,15},{8,7},{9,7},{1,6},{8,8},{6,3},{3},{3,3}}, {{17,14},{4,10},{7,5,5},{4},{9,5},{7},{3,7},{4,4}}, {{17,14},{5,9},{5,5,7},{5},{9,1},{1},{1,8},{7,7}}, {{17,14},{5,9},{7,5,5},{5},{9,1},{1},{1,8},{7},{7}}, {{17,14},{6,8},{9,8},{5,1},{1},{9},{1,6,6},{5,5}}, {{17,14},{8,6},{8,4,5},{6},{4},{9,4},{6,6},{5,5}}, {{17,14},{9,5},{7,5,5},{5},{9,1},{8,1,1},{7},{7}}, {{12,10,10},{2,7,11},{9,5},{2,10},{2},{11},{11},{5,5}}, {{12,10,10},{5,15},{9,3},{4,4},{2,6},{11},{7,7,7}}, {{12,13,7},{7},{10,1,1},{7,7,1},{8},{12,2},{10},{10}}, {{12,13,7},{7},{11,1},{12,1,1},{9},{9,2},{9},{7,7}}, {{13,12,7},{7},{1,10,1},{7,7},{1},{8},{12,2},{10,10}}, {{13,12,7},{7},{1,9,2},{7,7},{9},{12,1,1},{11},{9}}, {{14,12,6},{6},{1,8,9},{1},{9,6},{12,1,1},{11},{9}}, {{14,12,6},{6},{2,9,7},{9,7},{7},{11,5},{9},{6,6}}, {{14,12,6},{6},{7,11},{9,5},{6,6},{9},{2,9},{7,7}}, {{17,15},{1,5,9},{1},{10,8},{5},{1,8},{7,7},{5,5}}, {{17,15},{4,4,7},{10,7},{5,3},{10},{8,4},{5,5},{4}}, {{17,15},{6,9},{9,4,4},{11,3},{8,4},{6,3},{4},{3}}, {{17,15},{7,8},{10,7},{1,5,1},{1},{9},{8},{5,5},{5}}, {{17,15},{7,8},{5,7,5},{5},{1,10,1},{1},{9},{8},{5}}, {{17,15},{7,8},{7,5,5},{1,10,5,1},{1},{9},{8},{5}}, {{17,15},{7,8},{9,8},{3,3,1},{9},{7,7},{6,3},{3}}, {{17,15},{8,7},{10,7},{1,1,5},{1,9},{8},{5,5},{5}}, {{18,14},{5,9},{5,5,7,1},{6},{9,1},{9},{1},{7,7}}, {{18,14},{5,9},{7,5,5,1},{6},{9,1},{9},{1},{7},{7}}, {{18,14},{5,9},{7,9,1,1},{7},{9},{7},{1,6},{5,5}}, {{12,12,9},{9},{10,9,5},{4,1},{10},{1,12},{11},{5,5}}, {{13,10,10},{3,10,7},{9,7},{7},{2,13,2},{11},{2},{9}}, {{13,11,9},{2,7},{2,2,9},{10,7},{7},{13,3},{10},{10}}, {{13,12,8},{4,4},{1,9,10},{10,4},{4},{12,1},{11},{10}}, {{13,12,8},{8},{4,8},{10,3},{7},{4,4},{3,13},{10,10}}, {{14,12,7},{7},{10,2},{7,7},{9},{12,1,1},{11,1},{10}}, {{14,9,10},{7,1,1},{12},{7,7},{7},{12,2},{1,11},{10}}, {{17,16},{1,6,9},{8,5,5},{11,5},{8},{1,8},{1},{6}}, {{17,16},{3,8,5},{8,7,2},{5},{5},{9,9,2},{8},{7}}, {{17,16},{6,10},{10,7},{2,4},{9},{7,7},{6,4},{2,2}}, {{17,16},{7,9},{8,6,3},{3},{10,3,3},{8},{1,8},{7}}, {{17,16},{7,9},{8,9},{5,2},{8},{3,8},{7,2},{5,5}}, {{17,16},{9,7},{8,9},{2,5},{8},{3,8},{7,2},{5},{5}}, {{17,16},{9,7},{9,8},{2,5},{3,8,8},{7,2},{5},{5}}, {{18,15},{7,8},{10,4,4},{11,4},{3,5},{7},{5,5},{5}}, {{18,15},{7,8},{10,8},{5,1,1},{10},{7,1},{6},{5,5}}, {{12,12,10},{5,5},{11,10,3},{5,8},{2,3},{12},{11},{11}}, {{12,13,9},{9},{11,1},{9,5},{4,5,5},{12,1},{11},{11}}, {{14,10,10},{2,11,7},{2},{9,7},{7},{2,13,3},{11},{10}}, {{14,10,10},{9,11},{9,5},{2,10,2},{2},{13},{11},{5,5}}, {{14,11,9},{2,7},{3,10},{10,7},{7},{13,2,2},{11},{10}}, {{14,12,8},{8},{1,7,4},{1},{10,5},{3,9},{15},{10},{9}}, {{15,9,10},{7,1,1},{12},{7,7,1},{8},{12,2},{12},{10}}, {{18,16},{2,5,9},{7,5,8},{5},{2,3},{9},{9},{8,8}}, {{18,16},{2,5,9},{8,7,5},{5},{2,3},{9},{9},{8},{8}}, {{18,16},{2,5,9},{8,9,3},{8},{9},{8},{7,2},{5,5}}, {{18,16},{6,10},{8,5,5},{1,5},{11},{8},{1,1,8},{7}}, {{18,16},{7,9},{6,7,5},{1,11},{5,1},{1},{9},{9},{5}}, {{18,16},{7,9},{7,6,5},{1,11},{1,1,5},{9},{9},{5}}, {{12,13,10},{3,7},{11,1},{10,7},{7},{3,4},{12,12},{11}}, {{12,13,10},{3,7},{12},{12,4},{11},{11,1},{10,3},{7,7}}, {{13,11,11},{5,5,12},{10,3},{5,8},{2,3},{12},{12},{11}}, {{13,14,8},{8},{12,1},{13,2},{10},{10,2},{1,9},{8,8}}, {{14,10,11},{9,1},{12},{9,5},{4,5,5},{12,1},{12},{11}}, {{15,11,9},{9},{4,7},{10,9},{6,10},{11,4},{10},{7,7}}, {{15,12,8},{4,4},{3,7,10},{10,8},{4,3},{13},{12},{10}}, {{15,9,11},{7,2},{13},{7,7,1},{8},{13,1},{1},{11,11}}, {{18,17},{4,4,9},{8,7,3},{4,7},{1,10},{9},{9},{7}}, {{18,17},{8,9},{5,8,5},{5},{3,2},{10},{2,9},{9},{7}}, {{18,17},{8,9},{8,5,5},{3,5,2},{10},{9,2},{9},{7}}, {{19,16},{5,11},{8,9,2},{7},{8},{3,8},{7,7,2},{5}}, {{13,15,8},{8},{11,2},{8,8,1},{9},{1,13,2},{12},{11}}, {{14,11,11},{8,14},{9,5},{4,9},{13},{3,11},{8,4},{4}}, {{14,11,11},{9,13},{9,5},{4,1},{5,5},{13},{1,12},{11}}, {{16,9,11},{7,2},{13},{7,7,9},{13,1},{1},{1,12},{11}}, {{20,16},{7,9},{7,5,8},{5,2},{2,3},{11},{9},{8,8}}, {{20,16},{7,9},{8,7,5},{5,2},{2,3},{11},{9},{8},{8}}, {{20,16},{7,9},{8,9,3},{8,2},{11},{8},{7,2},{5,5}}, {{20,16},{9,7},{8,7,5},{2,5},{2,11,3},{9},{8},{8}}, {{14,11,12},{3,7,1},{13},{10,7},{7},{3,4},{13},{12,12}}, {{15,12,10},{2,8},{3,11},{10,8},{8},{2,14,3},{12},{11}}, {{15,14,8},{8},{1,11,2},{8,8},{10},{14,2},{12,1},{11}}, {{19,18},{4,4,10},{9,7,3},{4,7},{11},{9},{1,9},{8}}, {{17,10,12},{8,2},{14},{8,8,1},{9},{14,2},{1,13},{12}}, {{20,19},{8,11},{8,5,7},{3,2},{12,5},{11},{2,9},{7}}, {{12,17,11},{11},{12},{12,5},{7,9},{7,5},{2,11,11},{9},{9}}, {{14,13,13},{10,16},{7,7},{10,2,2},{8,6},{11,11},{9,9}}, {{14,14,12},{2,10},{12,5,13},{5},{5,5},{2,3},{14},{13,13}}, {{14,14,12},{2,10},{13,12,5},{5},{5,5},{2,3},{14},{13},{13}}, {{14,14,12},{2,5,5},{13,14,3},{13},{13},{12,2},{10,5},{5}}, {{14,15,11},{11},{12,1,1},{11,6},{5,1},{12},{14,14},{6,6}}, {{14,17,9},{9},{12,2},{1,1},{9,9,1},{10},{14,14,2},{12}}, {{15,12,13},{11,1},{14},{11,4},{4},{3,4,4,4},{14},{13,13}}, {{15,12,13},{11,1},{5,9},{11,4},{5},{4},{9},{3,17},{14},{9}}, {{15,16,9},{9},{14,1},{15,2},{11},{11,2,1},{11},{1},{9,9}}, {{16,11,13},{5,5,1},{1},{14},{10,5,11},{5},{14,1},{13,13}}, {{16,12,12},{5,5,14},{10,5,1},{11},{5},{14,1},{14},{1},{12}}, {{16,12,12},{9,15},{10,6},{1,1,1,6},{4,5},{14},{13,13}}, {{16,14,10},{5,5},{1,12,1},{1},{11},{12,5},{5},{14,14},{12}}, {{16,15,9},{9},{1,11,3},{12,5},{8,4},{5},{4},{14,14},{12}}, {{17,11,12},{11},{12},{8,4,5},{4},{3,9,2,2},{16},{15},{9}}, {{17,11,12},{9,1,1},{14},{7,7,3},{2,10},{2},{16},{14},{10}}, {{17,12,11},{11},{12},{8,4,5},{4},{3,2},{2,9},{16},{15},{9}}, {{17,14,9},{9},{10,4},{10,7},{13},{3,7,7},{13},{9,9,9}}, {{17,14,9},{9},{10,4},{10,7},{2,11},{2},{2},{3,16},{13},{11}}, {{18,11,11},{13,9},{9,9},{9},{8,5},{13,5},{3,11},{8,8}}, {{18,11,11},{6,3,13},{3},{1,1,7},{10,10},{4,16},{12,12}}, {{18,11,11},{7,15},{9,8,8},{3,14,14},{7,2},{5},{6,6}}, {{18,11,11},{9,13},{9,9},{9},{5,8},{13,5},{3,11},{8},{8}}, {{18,13,9},{9},{7,6},{9,9},{1,8},{7},{7},{1,14},{13,13}}, {{18,13,9},{9},{8,5},{9,9},{3,11},{11},{13,5},{11},{8,8}}, {{18,16,6},{6},{6},{9,5,2},{11,7},{8},{5},{15,1},{14},{11}}, {{18,9,13},{9},{13},{7,13,7},{7},{6,1},{14},{1,9,9},{8}}, {{19,10,11},{9,1},{12},{8,8,4,4,4},{7,17},{13,3},{10}}, {{19,12,9},{9},{6,6},{10,11},{10,9},{1,12,6},{11},{11},{6}}, {{19,14,7},{7},{8,13},{10,9},{8},{13},{1,6,2},{11},{10},{6}}, {{19,14,7},{7},{8,13},{13,3,3},{7,7},{13},{3,11},{8,8}}, {{19,14,7},{7},{8,13},{8,4,7},{4,4},{4},{1,14},{13},{13}}, {{19,14,7},{7},{8,13},{8,8,3},{11},{13,3},{13},{3},{7,7}}, {{21,19},{1,11,7},{1},{12,10},{7},{1,10},{2,9},{7,7},{7}}, {{21,19},{2,10,7},{9,7,7},{7},{1,12,1},{1},{11},{10},{7}}, {{21,19},{5,14},{11,7,3},{8},{7},{8,3},{8},{7,7},{5,5}}, {{21,19},{5,14},{9,9,3},{4,4},{2,6},{10,10},{7,7},{6}}, {{22,18},{4,7,7},{12,5,5,2,2},{3,1},{15},{13},{6,6}}, {{22,18},{4,7,7},{9,10,4,3},{1,1,15},{6},{9},{8,8}}, {{22,18},{5,13},{12,9,1},{6},{6},{9},{4,9},{6,6},{5,5}}, {{22,18},{6,12},{12,5,5},{3,3},{13,3},{10,5},{6,6},{5}}, {{22,18},{6,12},{12,9,1},{1},{7},{1,1,10},{9,9},{6,6}}, {{22,18},{6,6,6},{11,8,3},{1,1,16},{5},{3,10},{7,7}}, {{22,18},{7,11},{11,8,3},{10},{11},{3,5},{7,7},{5,5,5}}, {{22,18},{7,11},{12,7,3},{4,6},{11},{11},{6},{6,6},{3,3}}, {{22,18},{7,11},{9,7,3,3},{4,9},{11},{11},{9},{6,3},{3}}, {{23,17},{4,13},{2,2},{11,9,7},{10,10},{1,8},{1},{6,6}}, {{25,15},{15},{9,4,7,5},{2,2},{10,10},{3,1},{8},{6,6}}, {{16,12,7,7},{5,9},{13,4},{7,9},{13},{7},{5,17},{13},{12}}, {{16,13,13},{10,16},{8,8},{1,9},{9,8},{3,13},{10,10},{9}}, {{16,13,13},{12,7,7},{7,9},{5,9},{7},{5,17,4},{13},{12}}, {{16,14,12},{12},{2,12},{13,5},{5},{2,5,5},{16,3},{13},{13}}, {{16,15,11},{11},{4,11},{13,3},{7},{4,7},{16,3,3},{13},{13}}, {{16,16,10},{10},{11,7,10,4},{3,11},{4,3},{3},{16},{15},{11}}, {{16,16,10},{10},{13,10,5,4},{5,9},{5},{1,4},{16},{13},{13}}, {{17,12,13},{5,7},{13},{9,13},{7},{9},{4,16},{5,12},{7,7}}, {{17,13,12},{5,7},{9,4},{12,5},{9},{7},{7,7},{16},{13,13}}, {{17,15,10},{5,5},{12,13},{12,5},{5},{1,15,1},{1},{14},{13}}, {{17,16,9},{9},{1,12,2,1},{9,9},{1},{12},{16,2},{14},{12}}, {{17,16,9},{9},{1,13,2},{9,9},{11},{16,2},{1,1},{13,13}}, {{18,11,13},{9,2},{15},{9,9},{9},{15,2,1},{1},{1,14},{13}}, {{18,12,12},{11,13},{11,7},{7,2,2},{2,5},{17},{2},{13},{12}}, {{18,12,12},{13,11},{11,7},{2,2,7},{2,17,5},{2},{13},{12}}, {{18,12,12},{9,15},{10,5,3},{8,4},{5},{4},{15},{14,1},{13}}, {{18,13,11},{2,2,7},{12,5},{11,7},{12},{2,17},{2},{13},{12}}, {{18,13,11},{2,2,7},{5,12},{12,11},{7},{2,17},{2},{13},{12}}, {{18,16,8},{8},{1,10,13},{1},{11,8},{2,16},{1,1},{13},{13}}, {{18,16,8},{8},{11,13},{10,3,5},{3},{1,4},{4},{15},{14},{13}}, {{18,16,8},{8},{11,13},{10,4,4},{3,5},{3},{1,15},{14},{13}}, {{18,16,8},{8},{2,9,13},{11,9},{9},{2,7},{13},{13},{8,8}}, {{18,16,8},{8},{2,9,13},{13,7},{8,8},{13},{11,2},{9,9}}, {{19,10,13},{7,3},{16},{7},{7,7,5},{2,5,5},{16},{13,13}}, {{19,13,10},{10},{6,7},{12,13},{6,11},{6},{11,1},{11},{10,10}}, {{20,11,11},{15,7},{7},{7,7,6},{1,6},{1,16,5},{15},{11}}, {{20,11,11},{7,15},{7},{7,7,6},{6,1},{1,5},{16},{15},{11}}, {{20,15,7},{7},{1,6},{11,5},{7,7,6},{11},{1,16},{15},{11}}, {{20,15,7},{7},{1,6},{5,11},{11,7,7},{6},{1,16},{15},{11}}, {{22,20},{1,7,12},{1},{10,13},{7},{10},{2,10},{1,8},{7,7}}, {{22,20},{1,8,11},{1},{11,6,6},{6,14},{11},{9,1,1},{8}}, {{22,20},{1,8,11},{1},{9,7,7},{1,7},{2,13},{11},{11},{7}}, {{22,20},{2,10,8},{10,7,7},{1,7},{13,1},{1},{12},{10},{7}}, {{22,20},{2,7,11},{10,9,5},{2,10},{2},{11},{11},{10},{5,5}}, {{22,20},{2,7,11},{13,11},{7},{11},{1,9,1},{1},{8},{7,7}}, {{22,20},{2,9,9},{12,5,7},{3,2},{1,13,13},{4},{8,8}}, {{22,20},{5,15},{10,9,3},{4,4},{2,6},{11},{10},{7,7,7}}, {{22,20},{9,11},{9,6,7},{3,3},{3,13},{11,4},{11},{3},{7}}, {{23,19},{12,7},{9,7,7},{7},{1,12,1},{1},{11,2},{10},{9}}, {{23,19},{7,12},{7,7,9},{7},{12,2},{1,11},{10,1},{1},{9}}, {{24,18},{11,7},{11,8,5},{7},{13,3},{3,5},{10},{7,7},{5}}, {{15,15,13},{5,8},{14,13,3},{8},{8},{2,3,3},{15},{14},{14}}, {{15,16,12},{4,8},{14,1},{13,8},{8},{4,4},{1,15},{14,14}}, {{15,17,11},{11},{13,2},{11,8},{3,8},{3,3,5},{15,15},{13}}, {{17,12,14},{11,1},{1},{15},{11,6},{5,6,6},{15,1},{14,14}}, {{17,13,13},{11,15},{11,6},{5,1},{6,6},{15,1},{15},{1},{13}}, {{17,13,13},{12,14},{12,5},{5},{5,5,2},{2,3},{16},{14},{13}}, {{17,13,13},{14,12},{12,5},{5},{2,5,5},{2,16,3},{14},{13}}, {{17,13,13},{4,7,15},{11,7,3},{10},{4,3},{3},{15},{15},{13}}, {{17,13,13},{9,17},{12,5},{7,7},{14,7,5},{4,13},{9},{7}}, {{17,14,12},{2,5,5},{13,3},{12,5},{13},{5},{2,16},{14},{13}}, {{17,15,11},{4,7},{3,13,3},{13,4},{3},{10},{7},{15,15},{13}}, {{18,16,9},{9},{13,2,1},{1},{9,9},{12},{16,2},{14,1},{13}}, {{19,11,13},{9,2},{15},{9,9,1},{10},{15,2,1},{15},{1},{13}}, {{19,12,12},{4,4,16},{3,5},{11,9,2},{7},{2,15,15},{13}}, {{19,16,8},{8},{11,13},{11,8},{2,16,1},{1},{1,1},{14},{13}}, {{19,16,8},{8},{6,12,6},{16,3},{9},{6},{3,15},{12},{8,8}}, {{21,11,11},{13,9},{9},{9,9,3},{11,5},{14},{13,5},{8,8}}, {{21,13,9},{9},{8,5},{14},{11,9,9},{13,5},{11},{3,11},{8}}, {{21,13,9},{9},{8,5},{14},{9,9,11},{13,5},{3,11,11},{8}}, {{21,13,9},{9},{8,5},{3,11},{11,13,8},{5,14},{11},{9,9}}, {{21,14,8},{8},{12,2},{10},{8,8,5},{5,5,17},{14,2},{12}}, {{22,21},{1,9,11},{11,8,4},{4},{4,4,13},{11},{10,1},{9}}, {{22,21},{10,11},{10,5,7},{5},{5,2},{12},{11,2,2},{11},{9}}, {{22,21},{9,12},{14,8},{13,4},{1,1,10},{6},{7,7},{3,3}}, {{22,21},{9,8,4},{14,8},{4},{5,7},{13,4},{9},{7,7},{7}}, {{23,20},{11,9},{7,7,9},{2,7},{13,1},{1},{1,12},{11},{7}}, {{23,20},{3,10,7},{10,9,7},{7},{2,13,2},{11},{2},{10},{9}}, {{23,20},{3,7,10},{10,8,8},{4,3},{13},{12,8},{10},{4,4}}, {{23,20},{3,7,10},{12,10,4},{8,3},{13},{10},{8,4},{8},{4}}, {{23,20},{4,4,12},{12,10,1},{9},{1,11},{10,10},{8,4},{4}}, {{23,20},{7,13},{10,11,2},{2},{9},{10},{3,10},{9,2},{7,7}}, {{23,20},{9,11},{11,6,6},{6,14,1},{1},{12},{9,1,1},{8}}, {{23,20},{9,11},{9,7,7},{1,7,1},{2,13},{1},{12},{11},{7}}, {{24,19},{7,12},{10,12,2},{9},{12},{9,1},{1},{1,8},{7,7}}, {{24,19},{7,12},{7,7,9,1},{1},{8},{12,2},{12},{10,1},{9}}, {{15,16,13},{3,10},{14,1},{13,7},{3,14},{3},{15,15},{7,7}}, {{16,14,14},{5,8,15},{13,3},{8},{8},{2,3,3},{15},{15},{14}}, {{17,11,16},{6,5},{14,7},{11,6,6},{5,7},{7},{16},{14,14}}, {{17,13,14},{11,1,1},{16},{11,6},{5,1},{6,6},{16},{14,14}}, {{17,13,14},{8,4,1},{15},{13,4},{4},{8,8},{1,15,15},{14}}, {{18,13,13},{11,15},{11,7},{7,4},{4,3},{3},{3,16},{15},{13}}, {{18,13,13},{15,11},{11,7},{4,7},{4,3},{16,3,3},{15},{13}}, {{18,13,13},{8,18},{11,7},{4,4},{4,11},{15},{5,13},{8,8}}, {{18,15,11},{4,7},{13,3,3},{11,7},{13},{4,3},{16},{15},{13}}, {{18,17,9},{9},{5,11,1},{9,9},{10},{5},{17,6},{5,16},{11}}, {{19,11,14},{9,2},{1,1},{16},{9,9,1},{10},{16,2},{14,14}}, {{20,11,13},{9,2},{15},{8,13,8},{8},{7,16},{11,2},{9},{8}}, {{20,13,11},{2,9},{8,7},{11,9},{16},{8},{2,15},{13},{8,8}}, {{20,16,8},{8},{11,13},{11,9},{9,2},{2,7},{15},{13},{8,8}}, {{20,16,8},{8},{11,13},{13,7},{8,8,2},{15},{11,2},{9,9}}, {{20,16,8},{8},{13,11},{11,9},{2,9},{2,15,7},{13},{8,8}}, {{23,21},{1,11,9},{1},{14,10},{2,7},{1,12},{11},{7,7},{7}}, {{23,21},{10,11},{11,8,4},{4},{4,4,13,1},{12},{10,1},{9}}, {{23,21},{2,7,12},{14,11},{7},{1,11},{10,1},{1},{9},{7,7}}, {{23,21},{8,13},{13,10},{4,4},{3,11,4},{3,10},{8,8},{7}}, {{23,21},{9,12},{11,12},{5,4},{1,11},{10,1},{5},{9,9},{5}}, {{24,20},{2,11,7},{2},{10,9,7},{7},{2,13,3},{11},{10},{10}}, {{24,20},{5,15},{10,12,1,1},{7},{4,3},{10},{9,9},{8,8}}, {{24,20},{7,13},{10,11,3},{10},{2,11},{10},{9,2},{2},{7,7}}, {{24,20},{9,11},{10,9,5},{2,10,2},{2},{13},{11},{10},{5,5}}, {{24,20},{9,11},{13,11},{7,2},{13},{1,9,1},{1},{8},{7,7}}, {{25,19},{10,9},{11,10,4},{1,8},{15},{1,9},{8,4},{8},{4}}, {{25,19},{8,11},{11,7,7},{5,3},{14},{7,12},{8,3},{5,5}}, {{16,16,13},{4,9},{15,16,1},{5},{14},{14,1},{13,4},{9,9}}, {{16,17,12},{12},{14,1,1},{12,7},{5,14},{1,16},{15},{7,7}}, {{17,12,16},{5,7},{3,13},{10,12},{10},{5,5},{3,16,16},{13}}, {{17,14,14},{11,17},{9,8},{10,9},{9},{3,14},{1,11},{10,10}}, {{17,14,14},{3,11,14},{12,8},{4,12,3},{17},{16},{8,4},{4}}, {{17,14,14},{5,14,9},{13,2,2},{9},{9},{2,17,4},{15},{13}}, {{17,16,12},{4,8},{4,4,12},{14,3},{11},{8},{3,17},{14,14}}, {{19,13,13},{10,16},{10,5,4},{5,9},{5},{1,4},{16},{16},{13}}, {{19,13,13},{7,19},{9,9,1},{8},{17,9},{6,13},{8,1},{7}}, {{20,11,14},{9,2},{1,1},{16},{9,9,11},{16,2},{1,15},{14}}, {{21,16,8},{8},{13,11},{13,8},{2,9},{7,16},{11,2},{9},{9}}, {{21,16,8},{8},{6,12,6},{12,8,1},{7},{6},{1,17},{16},{12}}, {{23,22},{1,9,12},{11,13},{5,4},{11},{1,11},{5},{9,9},{5}}, {{23,22},{10,12},{11,12},{3,5,2},{11},{3,11},{10,5},{8},{5}}, {{24,21},{9,12},{10,9,5},{4,1},{10},{1,12},{12},{11},{5,5}}, {{25,20},{8,12},{12,10,3},{7,4},{3,13},{10,10},{8,4},{4}}, {{25,20},{9,11},{10,11,4},{7,6},{4,7},{10},{10},{9,9},{7}}, {{16,17,13},{4,9},{15,1},{13,9},{9},{4,5},{16,1},{15},{15}}, {{17,14,15},{3,10,1},{16},{13,7},{3,7,7},{3},{16},{15,15}}, {{18,17,11},{11},{1,11,5},{14,5},{6,10},{5},{18,4},{14},{14}}, {{24,22},{1,8,13},{1},{11,7,7},{1,7},{15},{11},{2,11},{9}}, {{24,22},{1,9,12},{1},{10,8,7},{1,15},{2,7},{12},{12},{7}}, {{24,22},{5,5,12},{11,10,3},{5,8},{2,3},{12},{12},{11},{11}}, {{25,21},{6,15},{14,9,2},{4,4},{3,5},{12},{10,10},{7,7}}, {{25,21},{7,14},{14,8,3},{5,5},{13,5},{3,11},{8},{7,7}}, {{16,17,14},{7,7},{15,1},{14,4},{7,11},{3,4},{16,16},{15}}, {{18,14,15},{4,9,1},{16},{13,9},{9},{4,5},{16,1},{16},{15}}, {{18,16,13},{3,10},{12,7},{13,5},{5},{5,12},{3,19},{16},{12}}, {{19,13,15},{11,2},{17},{11,8},{3,8},{3,3,5},{17},{15,15}}, {{19,15,13},{2,11},{4,13},{14,9},{2,9},{2},{19,5},{14},{14}}, {{19,16,12},{4,8},{8,12},{14,5},{8},{9,4},{5,19},{14,14}}, {{21,13,13},{11,15},{11,7,3},{10,4},{4,3},{19},{3},{15},{13}}, {{21,15,11},{4,7},{3,13,3},{3},{10},{13,11},{4,19},{15},{13}}, {{24,23},{1,10,12},{11,5,9},{5},{5,14},{1,4},{12},{12},{9}}, {{24,23},{1,10,12},{13,12},{3,7},{12},{4,11},{10,3},{7},{7}}, {{24,23},{11,12},{11,8,5},{5},{3,5},{3,13},{12,2},{12},{10}}, {{24,23},{4,7,12},{11,10,3},{7},{7},{1,13,3},{12},{12},{10}}, {{25,22},{10,12},{10,8,7},{1,15,1},{2,7},{1},{13},{12},{7}}, {{25,22},{8,14},{11,9,5},{4,9},{13},{11},{3,11},{8,4},{4}}, {{25,22},{9,13},{11,9,5},{4,1},{5,5},{13},{1,12},{11},{11}}, {{19,14,15},{12,1,1},{17},{12,7},{5,7,7},{17},{1,16},{15}}, {{20,11,17},{11},{5,12},{9,11},{9,7},{7,2},{19},{5,17},{12}}, {{21,13,14},{12,1},{15},{13,8},{8,4},{4,4},{19},{1,15},{14}}, {{25,23},{11,12},{11,5,9},{5},{5,14,1},{1,4},{13},{12},{9}}, {{25,23},{11,12},{13,12},{3,7,1},{13},{4,11},{10,3},{7},{7}}, {{18,15,16},{7,7,1},{17},{14,4},{7,11},{3,4},{17},{16,16}}, {{25,24},{4,7,13},{12,10,3},{7},{7},{14,3},{12},{1,12},{11}}, {{22,14,15},{13,1},{16},{13,9},{9,4},{4,5},{20},{16,1},{15}}}, {{19,23,12},{12},{17,2},{2},{12,12,1},{13},{1,19,2,2},{18},{17}}, {{20,17,17},{3,17,14},{16,7},{7},{7,7},{2,20,2},{18},{2},{16}}, {{20,18,16},{2,14},{2,2,16},{17,7},{7},{7,7},{20,3},{17},{17}}, {{20,19,15},{4,11},{4,4,15},{17,3},{11},{11},{20,3,3},{17},{17}}, {{20,20,14},{14},{14,7,15,4},{4},{7},{7,11},{20,1},{19,4},{15}}, {{20,20,14},{14},{17,14,9},{5,9},{5,4},{1,4,4},{20},{17},{17}}, {{20,21,13},{13},{14,5,1},{4,13,5},{9},{4,14},{4},{20,20},{14}}, {{21,16,17},{14,1,1},{19},{14,7},{7},{7,7},{19,2},{1,18},{17}}, {{21,19,14},{7,7},{17,2},{14,7},{16},{7},{19,1,1},{18,1},{17}}, {{22,15,17},{13,2},{19},{11,11},{5,8},{21,6},{3,3,3,18},{15}}, {{22,16,16},{13,19},{13,9},{2,2,9},{4,2,7},{2},{19},{19},{16}}, {{22,16,16},{13,19},{14,4,4},{5,3},{8,8},{5},{19},{18,1},{17}}, {{22,16,16},{13,19},{15,7},{6,6,8},{2,10},{19},{17},{8},{9,9}}, {{22,16,16},{13,19},{15,7},{8,6,6},{2,10,19},{17,8},{9,9}}, {{22,16,16},{4,17,11},{2,2},{15,11},{11},{2,21,5},{2},{17},{16}}, {{22,16,16},{6,7,19},{13,7,8},{7},{6,1},{16},{19},{19},{8,8}}, {{22,16,16},{8,24},{13,7,2},{5,5},{6,11},{19},{14,14,7},{7}}, {{22,17,15},{2,2,11},{5,16},{16,11},{11},{21,4,2},{2},{17},{16}}, {{22,18,14},{14},{2,5,11},{2},{16,7,1},{6},{1,13},{25},{16},{13}}, {{22,19,13},{13},{2,11,6},{1,1},{16,8},{5,1},{14},{24},{16},{14}}, {{22,20,12},{12},{11,5,4},{16,6},{1,15},{6},{3,3},{23},{16},{15}}, {{22,20,12},{8,4},{4},{15,17},{14,8},{3,5},{3},{1,19},{18},{17}}, {{23,10,5,16},{5},{9,6},{22},{9},{9,9,5},{4,10},{22},{16,16}}, {{23,14,17},{11,3},{20},{11,11,1},{1},{12},{20,2},{1,1},{17,17}}, {{24,13,17},{11,2},{2},{19},{11,11,13},{19,2,1},{1},{1,18},{17}}, {{24,14,16},{11,2,1},{1},{19},{11,11,1,1},{13},{19,3},{19},{16}}, {{24,15,15},{9,21},{11,11,11},{19,10,4},{3,18},{7},{9,1},{8}}, {{24,17,13},{13},{8,9},{15,9},{8},{7,10,5},{5},{21,3},{18},{15}}, {{24,17,13},{4,9},{16,5},{14},{15,9},{21,3,1},{1},{1},{18},{15}}, {{24,19,11},{11},{7,9,3},{14},{15,9},{7},{5,4},{4},{21},{18},{15}}, {{24,20,10},{10},{13,17},{13,11},{2,11},{2,2,9},{17},{17},{10,10}}, {{24,20,10},{10},{13,9,8},{15,9},{8},{2,7},{2},{21,3},{18},{15}}, {{26,18,10},{10},{4,13,1},{1},{11},{4},{14,11,5},{6,23},{17},{14}}, {{27,27},{17,14,8,15},{4,4},{2,6},{3,13},{3,12},{10,10},{9}}, {{28,26},{1,10,15},{1},{13,8,8},{18,8},{13},{2,13},{1,1},{10}}, {{28,26},{1,11,14},{1},{10,10,9},{3,17},{16,2,2},{7},{14},{7}}, {{28,26},{11,15},{13,10,5},{5},{1,5,5},{16},{13},{1,1,13},{12}}, {{28,26},{11,15},{13,15},{6,5},{13},{1,1,13},{1,6},{11,11},{6}}, {{28,26},{11,15},{13,15},{7,4},{13},{3,3,13},{11,4},{3,10},{7}}, {{28,26},{11,15},{13,9,6},{3,3},{17,6,3},{3},{13},{2,13},{11}}, {{28,26},{12,14},{11,12,5},{5},{1,16},{10,1},{1},{14},{14},{5,5}}, {{28,26},{12,14},{12,11,5},{5},{1,16},{1,1,10},{14},{14},{5,5}}, {{28,26},{12,14},{8,4,11,5},{4},{5},{9,3},{1,16},{15},{14},{9}}, {{28,26},{2,10,14},{12,5,13},{5},{5,5},{2,3},{14},{14},{13,13}}, {{28,26},{2,10,14},{12,9,9},{1,9},{2,17},{1,1},{14},{14},{9}}, {{28,26},{2,10,14},{13,12,5},{5},{5,5},{2,3},{14},{14},{13},{13}}, {{28,26},{2,12,12},{13,17},{4,4,16},{13},{3,5},{9,9,2},{7}}, {{28,26},{2,12,12},{15,8,7},{1,3,3},{7,2},{16,16},{11,11}}, {{28,26},{2,5,5,14},{13,14,3},{13},{14},{13},{12,2},{10,5},{5}}, {{28,26},{2,9,15},{13,17},{9},{13},{2,13},{1,1},{1,10},{9,9}}, {{28,26},{3,13,10},{13,11,4},{3},{7},{3,7},{15,15,4},{13},{11}}, {{28,26},{6,6,14},{12,11,5},{1,11},{6},{1,1,15},{14},{14},{11}}, {{28,26},{8,9,9},{11,5,6,6},{4,1},{20,1},{19},{2,2},{15}}, {{28,26},{8,9,9},{13,8,7},{7,1},{1,6},{19},{9},{13},{13},{9}}, {{28,26},{8,9,9},{13,9,6},{13,1},{19},{9},{13},{8,1},{7,7}}, {{28,26},{8,9,9},{8,7,13},{7,1},{1,6},{19},{9},{13,13},{9}}, {{28,26},{9,9,8},{13,8,7},{1,7},{1,19,6},{9},{13},{13},{9}}, {{29,25},{11,14},{15,7,7},{18,7},{4,10},{11},{10,5},{5},{5,5}}, {{29,25},{14,11},{9,9,11},{2,9},{16,2},{1,1},{1,15},{14},{9}}, {{29,25},{6,19},{13,14,2},{8},{4,4},{12,1},{11,11,1},{10,10}}, {{29,25},{7,9,9},{13,13,3},{8,2},{20},{4,4},{12,12,2},{10}}, {{29,25},{8,17},{9,9,11},{4,4},{3,5},{16,2},{14,2},{12,12}}, {{30,24},{10,14},{16,7,7},{3,7},{17},{3,3,8},{13},{8,8},{8}}, {{30,24},{11,13},{11,7,12},{7,2,2},{2,5},{17},{2},{13},{12,12}}, {{30,24},{11,13},{12,11,7},{7,2,2},{2,5},{17},{2},{13},{12},{12}}, {{30,24},{11,13},{12,13,5},{12,2,2},{17},{12},{11,2},{2},{7,7}}, {{30,24},{13,11},{12,11,7},{2,2,7},{2,17,5},{2},{13},{12},{12}}, {{30,24},{13,11},{16,7,7},{2,9},{17,6,6},{11,1},{10},{8,8}}, {{30,24},{5,19},{1,4},{18,10,3},{7},{14,3},{11,11},{6,6,6}}, {{30,24},{5,5,14},{1,9},{18,13},{7,16},{11,2},{9},{6,6,6}}, {{30,24},{6,9,9},{14,8,11,3},{21},{6,2},{1,1},{13},{10,10}}, {{30,24},{7,17},{18,10,1,1},{9},{14,5},{4,13},{9},{6,6,6}}, {{30,24},{9,15},{12,10,5,3},{8,4},{5},{4},{15},{14,1},{13},{12}}, {{30,24},{9,15},{13,15,2},{1,1},{11},{15},{11,2},{1,10},{9,9}}, {{30,24},{9,15},{16,11,3},{6,6},{2,15,10},{13},{8,8},{5,5}}, {{31,23},{8,15},{11,11,9,4,4},{5,3},{2,16},{2,14},{12,12}}, {{19,20,16},{4,12},{18,1},{17,8},{8,8,4},{4},{1,19},{18,18}}, {{19,20,16},{8,8},{18,1},{17,4},{12,8},{4,4},{1,19},{18,18}}, {{19,21,15},{15},{17,2},{15,8},{7,1},{8,8},{19,19,1},{1},{17}}, {{20,17,18},{3,3,10,1},{19},{16,10},{10},{3,7},{3},{19},{18,18}}, {{20,23,12},{12},{17,3},{12,12,1,1},{14},{1,20,3},{1},{18},{17}}, {{21,17,17},{10,5,19},{15,6},{5},{5,5,11},{4,6},{19},{19},{17}}, {{21,17,17},{2,18,14},{2},{16,7},{7},{7,7},{2,20,3},{18},{17}}, {{21,18,16},{2,14},{3,17},{17,7},{7},{7,7},{20,2,2},{18},{17}}, {{21,21,13},{13},{13,13,9,7},{2,11},{9},{9},{21,5},{2,18},{16}}, {{21,21,13},{13},{17,13,6,6},{1,12},{7,6},{1,5},{21},{17},{17}}, {{22,16,17},{14,1,1},{19},{14,8},{6,8,8},{19,1},{19},{1},{17}}, {{22,16,17},{7,7,1,1},{19},{14,7,1},{15},{7},{19,2},{19},{17}}, {{22,18,15},{3,12},{2,19},{2},{12,12},{12},{21,3},{18,2,2},{16}}, {{22,21,12},{12},{1,1,16,3},{12,12},{15},{21,3},{18,1},{1},{16}}, {{23,15,17},{13,2},{19},{13,5,5},{8,10,5},{5},{19,2},{19},{17}}, {{23,16,16},{9,23},{11,11,1},{1},{10},{21,1},{11},{7,16},{9,9}}, {{23,20,12},{12},{3,15,2},{2},{14,12},{14},{2,2,20,3},{18},{17}}, {{25,20,10},{10},{11,19},{16,9},{11},{9},{3,16},{14,2},{1,13},{12}}, {{25,20,10},{10},{12,18},{18,7},{13,6},{7,17},{12,6},{10,10},{6}}, {{26,18,11},{11},{14,4},{10,5},{14,12},{5},{6,23},{1,17},{1},{15}}, {{28,27},{1,12,14},{14,15},{4,8},{14},{13,1},{12,8},{8},{4,4}}, {{28,27},{1,12,14},{14,15},{8,4},{14},{13,1},{12,4},{4},{8,8}}, {{28,27},{1,6,10,10},{14,15},{6},{2,18},{4,4},{13,1},{12,12}}, {{28,27},{1,6,6,14},{13,11,5},{6,11},{1,16},{1},{14},{14},{11}}, {{28,27},{12,15},{17,11},{3,16,4},{3},{1,1,13},{6},{10,10},{6}}, {{28,27},{13,14},{10,13,5},{5},{5,5},{3,2},{15},{2,14},{14},{12}}, {{28,27},{13,14},{13,10,5},{5},{3,5,5,2},{15},{14,2},{14},{12}}, {{28,27},{13,14},{14,6,4,4},{2,6},{8},{4,2},{15},{14},{13,13}}, {{28,27},{13,14},{14,6,8},{4,2},{6,4},{4},{2,15},{14},{13,13}}, {{28,27},{6,11,10},{18,5,5},{11,5},{1,9},{17},{11},{9,9},{9}}, {{29,26},{10,16},{13,16},{5,5},{4,5,1},{13},{4,13},{10,10},{9}}, {{29,26},{10,16},{13,8,8},{1,1,8},{18},{13},{2,1,13},{1},{11}}, {{29,26},{10,16},{13,8,8},{1,9},{9,8},{13},{3,13},{10,10},{9}}, {{29,26},{10,8,8},{14,8,7},{2,14},{19},{8},{12,2},{10},{7,7}}, {{29,26},{11,15},{13,8,8},{18,4,5},{4},{1,14},{13},{3,3},{10}}, {{29,26},{11,15},{13,8,8},{18,5,4},{1,4,14},{13},{3,3},{10}}, {{29,26},{12,14},{10,10,9},{3,17,1},{16,2,2},{1},{15},{7},{7}}, {{29,26},{12,7,7},{13,7,9},{5,9},{7},{5,17,4},{13},{13},{12}}, {{29,26},{2,12,12},{1,1},{15,16},{7,17},{11,4},{3,10,10},{7}}, {{29,26},{2,13,11},{1,1},{13,9,9},{2,9},{17,1},{16},{13},{9}}, {{29,26},{3,7,16},{13,15,4},{11},{13},{3,13},{11,11,4},{3},{7}}, {{29,26},{5,5,16},{13,14,2},{12},{13},{3,13},{12,12,2},{5},{5}}, {{29,26},{5,5,16},{13,7,7,2},{5,7},{19},{7},{13},{3,13},{10}}, {{29,26},{7,7,12},{13,12,4},{13,5},{17},{7,5},{13},{9,9},{7}}, {{29,26},{7,7,12},{13,7,9},{9,5},{7},{5,4},{17},{13},{13},{12}}, {{29,26},{7,7,12},{7,9,13},{9,5},{7},{5,4},{17},{13,13},{12}}, {{29,26},{9,8,9},{13,8,8},{8},{2,7},{9},{18},{13},{13,2},{11}}, {{29,26},{9,9,8},{13,8,8},{8},{2,9,7},{18},{13},{2,13},{11}}, {{30,25},{11,14},{16,14},{9,2},{1,1},{16},{2,11,1},{10},{9,9}}, {{30,25},{5,20},{14,9,12},{5,2,2},{3,1},{13},{11,11},{10,10}}, {{30,25},{9,16},{9,9,12},{9},{16,2},{1,1},{2,14},{13,1},{12}}, {{31,24},{12,12},{13,8,10},{5,19},{5,3},{1,14},{2,2},{11,11}}, {{31,24},{4,4,16},{3,5},{12,11,9,2},{7},{2,15,15},{13},{12}}, {{31,24},{7,17},{16,11,11},{3,14},{13,7,2},{5},{8,8},{6,6}}, {{33,22},{10,12},{8,2},{14,12,7},{14},{15},{2,10},{8,8},{7,7}}, {{19,20,17},{3,14},{18,1},{17,7},{7},{7,7},{3,4},{19,19},{18}}, {{19,21,16},{5,11},{18,1},{1},{16,11},{11},{5,6},{19,19,1},{18}}, {{20,21,15},{15},{18,1,1},{15,8},{7,1},{8,8},{20,2},{18},{18}}, {{21,17,18},{8,8,1},{19},{17,4},{12,8},{4,4},{1,19,19},{18}}, {{22,16,18},{3,11,2},{20},{3},{14,11},{11},{3,3,5},{20},{18,18}}, {{22,16,18},{7,7,2},{20},{14,7,1},{15},{7},{20,1},{1},{18,18}}, {{22,17,17},{12,22},{15,7},{4,15},{4},{19},{5,17},{12,8},{4,4}}, {{22,17,17},{14,20},{14,8},{6,1,1},{8,8},{20},{1,19},{1},{17}}, {{22,17,17},{15,19},{15,7},{4,3},{7,7,4},{4},{3,20},{19},{17}}, {{22,18,16},{2,2,12},{4,13,5},{17,9},{5},{3,14},{25},{17},{14}}, {{22,21,13},{13},{1,15,5},{16,7},{18},{7},{2,20},{18},{12,6},{6}}, {{23,13,20},{13},{6,14},{9,14},{11,8},{9},{22},{4,2,19},{2},{15}}, {{23,15,18},{5,5,5},{2,16},{3,14},{13,13},{8,22},{20,6},{14}}, {{23,20,13},{13},{14,6},{14,9},{4,15},{4},{5,2,2},{22},{19},{15}}, {{23,20,13},{13},{3,14,3},{13,13},{3},{8,8},{8,22},{20,6},{14}}, {{23,21,12},{12},{1,17,3},{1},{12,12},{15},{21,3},{18,1,1},{17}}, {{23,21,12},{12},{2,2,14,3},{15,12},{15},{3,21,2},{2},{18},{17}}, {{23,22,11},{11},{14,19},{14,9},{5,4},{9,9},{19},{4,15},{11,11}}, {{23,22,11},{11},{3,13,17},{15,6,2},{5},{6},{5},{3,21},{18},{17}}, {{23,22,11},{11},{8,8,17},{16,7},{8,15},{1,7},{17},{17},{11,11}}, {{24,16,16},{12,20},{13,7,4},{5,11},{6,1},{1},{6},{20},{19},{17}}, {{25,11,20},{11},{2,18},{13},{7,8,10},{7},{6,2},{4,21},{18},{17}}, {{25,14,17},{11,3},{20},{11,11,14},{20,2},{1,19},{1,1},{1},{17}}, {{25,14,17},{11,3},{4,16},{4},{12,12,8,8},{9,23},{19,5},{14}}, {{26,20,10},{10},{9,21},{20,3,3},{15},{6,15},{12,3},{10,10},{9}}, {{27,17,12},{6,6},{15,1,1},{14},{11,11,5},{10,24},{18,4},{14}}, {{29,27},{13,14},{14,15},{4,8,1},{15},{13,1},{12,8},{8},{4,4}}, {{29,27},{2,14,11},{18,13},{2,9},{1,1},{1,15},{14},{9,9},{9}}, {{29,27},{2,8,17},{18,13},{4,4},{3,5},{14,2},{12,12},{9,9}}, {{29,27},{2,9,16},{12,12,7},{5,4,7},{1,3},{15,15},{13,13}}, {{29,27},{5,11,11},{13,13,3},{8},{4,18},{2,6},{14,14},{4},{10}}, {{29,27},{8,11,8},{18,11},{5,3},{8},{9,5},{16},{13},{9,9},{9}}, {{29,27},{8,8,11},{18,11},{5,8,3},{5,9},{16},{13},{9,9},{9}}, {{30,26},{11,15},{11,11,8},{1,10},{9},{15,7},{15},{1,9,9},{8}}, {{30,26},{11,15},{11,6,6,7},{5,6,1},{19},{15,1},{15},{7},{7}}, {{30,26},{11,15},{13,11,6},{5,1},{6,6},{15,1},{15},{1},{13},{13}}, {{30,26},{12,14},{12,5,13},{5},{5,5,2},{2,3},{16},{14},{13,13}}, {{30,26},{12,14},{12,9,9},{1,9,2},{2,17},{16},{1,1},{14},{9}}, {{30,26},{12,14},{13,12,5},{5},{5,5,2},{2,3},{16},{14},{13},{13}}, {{30,26},{13,13},{14,7,9},{5,2},{3,17,17},{4,4},{12,2},{10}}, {{30,26},{14,12},{13,12,5},{5},{2,5,5},{2,16,3},{14},{13},{13}}, {{30,26},{4,11,11},{14,10,10},{3,19},{7,16},{12,2},{1,1},{9}}, {{30,26},{4,7,15},{11,7,13,3},{10},{4,3},{3},{15},{15},{13,13}}, {{30,26},{4,7,15},{13,11,7,3},{10},{4,3},{3},{15},{15},{13},{13}}, {{30,26},{4,7,15},{13,15,3,3},{13},{15},{13},{11,4},{3,10},{7}}, {{30,26},{7,19},{16,12,2},{1,1},{9},{4,14,3},{11,11},{10,10}}, {{30,26},{9,17},{13,12,5},{7,7},{14,7,5},{13},{4,13},{9},{7}}, {{31,25},{11,14},{13,9,9},{4,4,3},{17},{5,5,16},{12,1},{11}}, {{31,25},{11,14},{15,11,5},{3,10,3},{3},{17},{14},{10,5},{10},{5}}, {{31,25},{3,11,11},{3},{17,12,5},{7,20},{6,13},{8,8,1},{7}}, {{32,24},{12,12},{13,15,4},{8,20},{3,5},{11,2},{9,9,2},{7}}, {{33,23},{8,15},{4,4},{11,11,9,2},{7,3},{18},{2,14},{12,12}}, {{20,23,14},{14},{17,3},{14,7,5},{7,12},{7},{2,5},{20,20},{17}}, {{21,18,18},{3,15,18},{16,8},{8},{8,4,3},{21},{20,4},{4},{16}}, {{21,18,18},{7,18,11},{17,4},{11},{11},{2,21,4,2},{19},{2},{17}}, {{23,16,18},{7,7,2},{20},{14,7,16},{7},{20,1},{1},{1,19},{18}}, {{23,17,17},{11,23},{13,5,5},{8,13},{21},{6,17},{8,5},{11},{8}}, {{23,17,17},{11,23},{16,7},{2,9},{9},{9},{18,7},{6,17},{11,11}}, {{23,17,17},{13,21},{13,5,5},{8,2},{10,5},{5},{21},{2,19},{17}}, {{23,17,17},{14,20},{14,9},{5,9},{5,4},{1,4,4},{20},{20},{17}}, {{23,17,17},{3,17,14},{3},{15,11},{3,11},{4,23,4},{19},{4},{15}}, {{23,17,17},{7,7,20},{14,8,1},{7,8},{6,9},{8},{20},{20},{17}}, {{23,18,16},{2,2,12},{5,17},{16,12},{12},{2,22,5},{2},{18},{17}}, {{23,21,13},{13},{16,5},{16,7},{12,6},{7},{6},{2,20,1},{19},{18}}, {{23,22,12},{12},{1,17,2,2},{12,12},{16},{22,2},{2},{18,1},{17}}, {{25,14,18},{12,2},{2},{20},{12,12,1},{13},{20,2,2},{1,19},{18}}, {{25,16,16},{10,22},{12,12,1},{11},{20,11,4},{3,19},{7},{9,9}}, {{27,20,10},{10},{6,6,18},{1,11},{18,10},{20,1},{19},{12,6},{6}}, {{29,28},{1,13,14},{14,16},{4,8,1},{15},{14},{12,8},{8},{4,4}}, {{29,28},{1,13,14},{14,8,8},{12,4},{16,1},{15},{14},{8,4},{4}}, {{29,28},{1,13,14},{18,12},{4,4,16,1},{15},{2,6},{10,10},{6}}, {{29,28},{1,6,6,15},{14,11,5},{6,11},{17},{14},{1,14},{1},{12}}, {{29,28},{13,15},{14,15},{3,8,2},{14},{3,14},{13,5},{3},{8,8}}, {{29,28},{8,10,10},{17,12},{5,3},{1,19},{2,2},{5,16},{11,11}}, {{29,28},{9,7,12},{17,12},{2,5},{11},{17},{5,7},{11,11},{9,9}}, {{30,27},{12,15},{13,8,9},{4,4},{3,18},{1,10},{15},{14},{5,5}}, {{30,27},{2,9,16},{1,1},{18,14},{9},{2,14},{13,1},{12},{9,9}}, {{30,27},{3,12,12},{10,10,13},{6,18},{17,3},{14,2},{8},{4,4}}, {{31,26},{11,15},{11,7,13},{7,4},{4,3},{3},{3,16},{15},{13,13}}, {{31,26},{11,15},{13,11,7},{7,4},{4,3},{3},{3,16},{15},{13},{13}}, {{31,26},{15,11},{13,11,7},{4,7},{4,3},{16,3,3},{15},{13},{13}}, {{31,26},{6,6,14},{15,8,8},{7,5},{2,3},{7,18},{17},{11,11}}, {{31,26},{8,18},{13,11,7},{4,4},{4,11},{15},{13},{5,13},{8,8}}, {{32,25},{9,16},{9,9,12,2},{11},{16,2},{16},{1,1},{13,1},{12}}, {{33,24},{10,14},{16,13,4},{3,3,4},{9,1},{19},{11,11},{8,8}}, {{33,24},{8,16},{1,7},{16,12,6},{12,1},{17},{12},{8,8},{6,6}}, {{33,24},{9,15},{16,11,9,6},{3,18},{2,10},{13},{8,8},{5,5}}, {{20,20,18},{5,13},{19,18,3},{8},{5,8,8},{2,3},{20},{19},{19}}, {{20,21,17},{4,13},{19,1},{17,9},{4,9,9},{4},{20,1},{19},{19}}, {{21,18,19},{3,14,1},{20},{17,7},{7},{7,7},{3,4},{20},{19,19}}, {{21,21,16},{5,11},{16,11,17,3},{3},{14},{5,6},{21},{20,3},{17}}, {{22,17,19},{5,11,1},{1},{20},{16,11},{11},{5,6},{20,1},{19,19}}, {{22,18,18},{14,22},{17,5},{5},{7,12},{19,5},{4,18},{14,7},{7}}, {{22,20,16},{4,12},{3,13,8},{18,4},{3},{7},{5,15},{25},{18},{15}}, {{23,17,18},{15,1,1},{20},{15,8},{7,1},{8,8},{20,2},{20},{18}}, {{25,15,18},{12,3},{21},{12,12,1},{1},{13},{21,3},{1,1,19},{18}}, {{25,21,12},{12},{2,16,3},{2},{15},{15,12},{3,21,2,2},{19},{18}}, {{25,22,11},{11},{6,15,12},{22,3},{9},{3,9},{21,6},{15},{11,11}}, {{27,13,18},{8,5},{3,20},{11},{11,11,5},{8,8},{20,2},{20},{18}}, {{28,20,10},{10},{11,19},{16,9,3},{14},{9},{19},{14,2},{1,13},{12}}, {{30,28},{11,17},{11,5,5,9},{6,4},{19,5},{17},{5},{4,13},{9}}, {{30,28},{13,15},{10,13,7},{3,4},{7,3},{3},{17},{4,15},{15},{11}}, {{30,28},{13,15},{13,10,7},{3,4},{3,3,7},{17},{15,4},{15},{11}}, {{30,28},{13,15},{13,6,11},{6},{1,6,17},{1,1,5},{15},{15},{11}}, {{30,28},{2,10,16},{14,9,9},{1,9},{19},{14},{2,14},{1,1},{11}}, {{30,28},{2,11,15},{13,10,9},{1,19},{2,9},{1,1},{15},{15},{9}}, {{30,28},{2,11,15},{16,7,9},{5,2},{3,19},{4,4},{15},{12,12}}, {{30,28},{3,5,20},{17,12,1},{2,2},{9},{5,16},{11,11},{10,10}}, {{30,28},{5,8,15},{13,11,3,3},{8,3},{11},{2,17},{15},{15},{11}}, {{30,28},{5,8,15},{14,13,3},{8},{8},{2,3,3},{15},{15},{14},{14}}, {{30,28},{6,6,16},{14,11,5},{1,11},{6},{17},{14},{1,1,14},{13}}, {{30,28},{7,14,7},{14,11,5},{6,6},{7},{17,6},{5,16},{14},{11}}, {{31,27},{11,16},{11,6,7,7},{5,1},{20,6},{16},{1,15},{7},{7}}, {{31,27},{5,5,17},{18,12,1},{11},{15,4,4},{3,14},{11},{9,9}}, {{31,27},{7,7,13},{18,10,3},{7,10},{4,9},{17},{14},{9,9},{9}}, {{32,26},{10,16},{11,7,10,4},{3,11},{4,3},{3},{16},{16},{15},{11}}, {{32,26},{10,16},{13,10,5,4},{5,9},{5},{1,4},{16},{16},{13},{13}}, {{32,26},{7,19},{13,9,9,1},{8},{17,9},{13},{6,13},{8,1},{7}}, {{20,21,18},{7,11},{19,1},{18,4},{11},{11},{3,4,4},{20,20},{19}}, {{21,19,19},{5,13,20},{18,3},{8},{5,8,8},{2,3},{20},{20},{19}}, {{21,21,17},{7,10},{19,17,3,3},{10,3},{13},{4,6},{21},{19},{19}}, {{22,18,19},{4,13,1},{20},{17,9},{4,9,9},{4},{20,1},{20},{19}}, {{23,17,19},{15,2},{21},{15,8},{7,1},{8,8},{21,1},{1},{19,19}}, {{23,18,18},{5,13,18},{16,12},{4,4,5},{4,16},{23},{20},{8,8}}, {{23,20,16},{4,12},{8,16},{18,5},{13},{8,4},{4},{5,23},{18,18}}, {{25,17,17},{13,21},{13,6,6},{1,12},{7,6},{1,5},{21},{21},{17}}, {{25,22,12},{12},{3,15,2,2},{16},{16,12},{2,22,3},{2},{19},{18}}, {{26,15,18},{12,3},{21},{12,12,1,1},{14},{21,3},{1,20},{1},{18}}, {{27,20,12},{12},{9,7,4},{3,13},{16,11},{10},{9},{1,22},{21},{16}}, {{29,20,10},{10},{12,18},{20,6,3},{9,6},{6},{3,21},{18},{10,10}}, {{30,29},{1,12,16},{10,10,11},{19,1},{18,6},{2,14},{8},{4,4}}, {{30,29},{1,13,15},{15,8,8},{8,4,4},{4,17},{15},{14,1},{13}}, {{30,29},{12,17},{12,7,11},{5,2},{2},{18,7},{17},{2,2,13},{11}}, {{30,29},{13,16},{13,5,12},{5},{3,2},{17,5,5},{16},{2,14},{12}}, {{30,29},{14,15},{14,8,8},{3,8,5},{3},{3,16},{15,2},{15},{13}}, {{30,29},{4,11,14},{17,10,3},{7},{7,19,2},{1,1},{16},{12,12}}, {{30,29},{7,7,15},{14,13,3},{3},{7,10},{1,16,3},{15},{15},{13}}, {{31,28},{3,11,14},{14,12,8},{4,12,3},{17},{16},{14},{8,4},{4}}, {{31,28},{3,11,14},{14,8,12},{8},{4,4,3},{17},{4,16},{14},{12}}, {{21,22,17},{5,12},{19,1,1},{17,12},{12},{5,7},{1,21},{20},{19}}, {{21,23,16},{16},{19,2},{16,9},{7,9,9},{1,21,1},{20},{1},{19}}, {{21,23,16},{8,8},{19,2},{16,8,1},{17},{8},{1,21,2},{20},{19}}, {{23,21,16},{16},{5,16},{17,3,3},{11},{5,11},{3,23,6},{20},{17}}, {{25,17,18},{16,1},{19},{17,8},{8,8,4,4},{4,23},{1,19},{18}}, {{28,16,16},{13,19},{13,7,8},{7,6},{6,1},{25},{16},{19},{8,8}}, {{28,20,12},{12},{9,7,4},{3,13},{10},{16,11,1},{10},{23},{21},{16}}, {{31,29},{13,16},{13,7,11},{3,4},{3},{18,7,3},{16},{4,15},{11}}, {{31,29},{14,15},{15,8,8},{8,4,4},{4,17,1},{16},{14,1},{13}}, {{32,28},{13,15},{13,10,9},{1,19,2},{2,9},{17},{1,1},{15},{9}}, {{32,28},{13,15},{16,7,9},{5,2},{3,19,2},{17},{4,4},{12,12}}, {{34,26},{11,15},{11,7,13,3},{10,4},{4,3},{19},{3},{15},{13,13}}, {{34,26},{11,15},{13,11,7,3},{10,4},{4,3},{19},{3},{15},{13},{13}}, {{21,22,18},{9,9},{20,1},{18,5},{9,14},{4,5},{21,1},{20},{20}}, {{21,23,17},{3,14},{3},{19,2},{17,11},{3,11},{6,8},{21,21},{19}}, {{22,19,20},{7,11,1},{21},{18,4},{11},{11},{3,4,4},{21},{20,20}}, {{23,19,19},{7,10,21},{17,3,3},{10,3},{13},{4,6},{21},{21},{19}}, {{23,20,18},{2,16},{3,19},{18,8},{8},{8,8},{2,22,3},{20},{19}}, {{23,20,18},{9,9},{8,12},{18,5},{5,13},{13},{9,8},{21},{20,20}}, {{23,22,16},{8,8},{1,19,2},{16,8},{18},{8},{22,2},{20,1},{19}}, {{24,21,16},{5,11},{3,17,6},{16,11},{17},{5,3,3},{23},{21},{17}}, {{24,21,16},{5,11},{3,20,3},{16,11},{3},{14},{5,6},{21},{20,20}}, {{25,18,18},{7,11,18},{16,12,4},{8,7},{25},{4,16},{20},{8,8}}, {{25,19,17},{2,15},{4,17},{2,2},{18,11},{4,11},{25,7},{18},{18}}, {{25,22,14},{14},{3,13,6},{14,14},{10,10},{10,3},{23},{22,6},{16}}, {{31,30},{7,7,16},{15,13,3},{3},{7,10},{17,3},{15},{1,15},{14}}, {{32,29},{13,16},{13,9,10},{4,5},{4,19},{16,1},{16},{10},{5,5}}, {{32,29},{3,10,16},{13,10,12},{5,5},{3,7},{5,17},{16},{16},{12}}, {{33,28},{5,9,14},{14,8,12,4},{8,5},{8},{19},{4,16},{14},{12}}, {{23,17,22},{12,5},{7,20},{17,6},{6,6,13},{5,7},{22},{20,20}}, {{23,19,20},{9,9,1},{21},{18,5},{9,14},{4,5},{21,1},{21},{20}}, {{32,30},{5,8,17},{15,11,3,3},{8,3},{11},{19},{15},{2,15},{13}}, {{22,24,17},{17},{20,2},{17,9},{8,1},{9,9},{1,22,2},{21},{20}}, {{24,19,20},{5,12,1,1},{22},{17,12},{12},{5,7},{22},{1,21},{20}}, {{25,18,20},{16,2},{22},{16,9},{7,9,9},{22,1},{1},{1,21},{20}}, {{25,18,20},{8,8,2},{22},{16,8,1},{17},{8},{22,2},{1,21},{20}}, {{26,17,20},{14,3},{23},{14,7,5},{7,12},{7},{2,5},{23},{20,20}}, {{26,18,19},{17,1},{20},{17,9},{4,9,9,4},{4},{24},{20,1},{19}}, {{32,31},{1,14,16},{15,9,9},{5,9,4},{18},{1,4},{16},{16},{13}}, {{32,31},{4,11,16},{15,14,3},{7},{4,14},{1,17},{16},{16},{7,7}}, {{24,20,20},{4,20,16},{17,11},{6,5},{5,11},{24,1},{23},{6},{17}}, {{24,23,17},{6,11},{1,6,17,5},{20,5},{16},{11},{24,4},{20},{20}}, {{27,21,16},{5,11},{20,6},{16,11},{17},{5,3,3},{23,3},{21},{20}}, {{29,17,18},{16,1},{19},{17,8,4},{12,4,4},{8},{27},{1,19},{18}}, {{29,19,16},{3,13},{11,11},{16,13},{1,12},{12,11},{23},{3,22},{19}}, {{33,31},{15,16},{15,9,9},{5,9,4},{18,1},{1,4},{17},{16},{13}}, {{35,29},{13,16},{13,10,12},{5,5,3},{3,7},{19},{5,17},{16},{12}}, {{25,19,21},{3,14,2},{23},{3},{17,11},{3,11},{6,8},{23},{21,21}}, {{27,20,18},{2,16},{7,15},{18,16},{8,8},{8,7},{23},{2,22},{20}}, {{33,32},{4,11,17},{16,14,3},{7},{4,7,7},{18},{16},{1,16},{15}}, {{26,19,21},{17,2},{23},{17,9},{8,1},{9,9},{23,2},{1,22},{21}}, {{28,19,19},{15,23},{15,7,6},{1,13,7},{8},{6,1},{24},{23},{19}}, {{29,18,20},{16,2},{22},{16,8,5},{13,8},{8},{5,25},{22,2},{20}}, {{25,23,20},{3,17},{7,19},{20,5},{12},{5,12},{3,26,7},{23},{19}} This next list are those quilts which are composites of two identical rectangles at right angles with a corner patch in common: 18-13 [7,7,4][4][7,6,1][5][1,5,5][4,4] 19-13 [8,4,7][4][1,6][4,4,5][7,1][6,6] 20-13 [9,5,6][4,1][7][5,4,4][1,7,7][6] 30-15 [11,11,8][4,4][11,10,1][9][1,9,9][8,4][4] 30-15 [12,5,5,8][7,3][11][5,7,7][5][3,11,11][8] 31-15 [12,4,4,11][8][1,10][4,8,9][4][11,1][10,10] 31-15 [14,8,9][6,1,1][11][8,6,6][1,11,11][1][9] 31-15 [16,10,5][5][6,9][10,6,3,3][3,12][9][5,5] 32-15 [13,9,10][4,4,1][11][9,4,8][4][1,11,11][10] 32-15 [14,7,11][7][3,8][7,7,5,5][5,13][11,3][8] 36-15 [17,9,10][8,1][11][9,8,4,4][4,15][1,11][10] 54-17 [20,9,9,16][11,7][4,19][9,11,15][9][7,4][19,19][16] 54-17 [24,17,13][4,9][7,14][9][17,7,7][14,23][13,4][9,9] 54-17 [25,19,10][10][6,12,1][11][19,6,6][12,23][1,11][10,10] 54-17 [25,9,20][9][7,2][5,17][9,9,7,12][2,5][20][17,17] 54-17 [28,9,17][9][1,16][10][9,9,10,5,5][5,21][17,1][16] 55-17 [23,13,19][10,3][3][4,18][13,10,14][3,3,4][19][18,18] 55-17 [26,14,15][12,1,1][17][14,12,6,6][6,23][1,17][1][15] 56-17 [24,14,18][10,4][3,19][3][14,10,13][4,3,3][19,19][18] 56-17 [27,11,18][11][4,14][5,10][11,11,5,5][10,24][18,4][14] 57-17 [28,12,17][7,5][2,20][9][12,7,9,9][5,2][20,20][17] 60-17 [26,15,19][11,4][7,16][15,11,9,9][9,25][4,7][19][16] This next list are those quilts which are composites of two identical rectangles at right angles with no patches in common: 24-14 [13,7,4][4][6,1][5][7,6,11][1,5][4,4] 40-16 [21,11,8][4,4][10,1][9][11,10,19][1,9][8,4][4] The final list are those 2n x 2n quilts composed of a 2n x n rectangle with two n x n patches: 30-15 [15,15][10,6,6,8][9,3][1,7][2,2][5,5][4] 40-16 [20,20][11,13,8,8][4,12][9,2][1,3][7,7,2][5] Composites of Two Non-Identical Rectangles 54-17 [27,27][17,14,8,15][4,4][2,6][3,13][3,12][10,10][9] ---------------------------------------------------------------------------------------------- Code by Antony Boucher #include #include #include #include #include #define NMAX 100 #define LMAX 1000 int n; /* grid size */ int cell[NMAX][NMAX]; /* grid */ int nbSquareN[NMAX+1]; /* number of squares for each size */ int maxDups; /* maximum authorized number of identical squares */ int square[LMAX]; /* list of squares in the grid */ int prm; /* number of squares in the grid */ int prmGoal; /* number of squares to reach */ int currSol[LMAX]; /* list of squares of current solution */ int prmCurrSol; /* number of squares of current solution */ int bestSol[NMAX+1][LMAX]; /* list of solutions */ int prmBestSol[NMAX+1]; /* list of solutions' sizes */ int relPrime[NMAX+1][NMAX+1]; /* pre-computed table for relatively-prime tests */ int order[NMAX+1][NMAX+1]; /* pre-computed ordered square size tests */ clock_t chrono; char strChrono[20]; void compOrder () { int i,j; memset(order,0,sizeof(order)); for (i=1; i<=NMAX; i++) { order[i][0] = i; for (j=1; j2*n/3 /* Heuristic : first square is smaller than 2/3 */ ) || prm==2 && ( y==0 /* Heuristic : no more than 2 squares on first row */ || square[0]+square[1]==n /* we don't process symetrical cases */ && square[0]y?x:y); p = &cell[y][x+1]; while ((room < z) && (!(*(p++)))) room++; /* we try all valid-sized squares in (x,y), in pre-computed order */ for (pz=&order[room][0]; (z=*(pz++))>0; ) { if ( nbSquareN[z]>=maxDups /* Heuristic : no more than 3 identical squares (for N>10) */ || x==0 && y!=0 /* Heuristic : if 2 squares on first row, then 2 squares on first column */ && square[0]+square[1]==n && z!=square[1] ) continue; /* add new square to the list */ square[prm] = z; nbSquareN[z]++; prm++; /* add new square to the grid */ for (j=y+z-1; j>y; j--) { cell[j][x] = z; } /* look up for next empty cell, in 2 steps */ /* row y */ found = 0; for (x2=x+z; x2prmGoal) { complete(x2, y2); } /* remove square from list */ nbSquareN[z]--; prm--; /* remove square from grid */ for (j=y+z-1; j>y; j--) { cell[j][x] = 0; } } } int main () { int i, n1, o1; compRelPrime(); compOrder(); memset(prmBestSol, 0, sizeof(prmBestSol)); /* size-1 solution */ bestSol[1][0] = 1; prmBestSol[1] = 1; /* size-2 solution */ bestSol[2][0] = 1; bestSol[2][1] = 1; bestSol[2][2] = 1; bestSol[2][3] = 1; prmBestSol[2] = 4; /* size-3 solution */ bestSol[3][0] = 2; bestSol[3][1] = 1; bestSol[3][2] = 1; bestSol[3][3] = 1; bestSol[3][4] = 1; bestSol[3][5] = 1; prmBestSol[3] = 6; /* ask for starting values */ printf("Size: "); scanf("%d",&n1); printf("\n"); if (n1<=30 || n1>200) { n1=4; } else { printf("Order: "); scanf("%d",&o1); printf("\n"); if (o1<14) o1=14; for (i=n1-3; i10 ? 3 : 50); /* Heuristic : solution size should be median size of 3 previous ones, or +1 */ /* Note : this is because the list of orders is 'almost' increasing (size-41 case) */ prmGoal = (prmBestSol[n-3]+prmBestSol[n-2]+prmBestSol[n-1]+1)/3; prmCurrSol = (n>10 ? prmGoal+2 : 50); /* fill the grid */ timeReset(); complete(0, 0); print(n, currSol, prmCurrSol); /* save the solution */ memcpy(bestSol[n], currSol, sizeof(currSol)); prmBestSol[n] = prmCurrSol; } return 0; } ----------------------------------------------------------------------------------------------------- Code by Lance Gay #include #include #include #include #include #define NMAX 100 #define LMAX 1000 int n; /* grid size */ int cell[NMAX][NMAX]; /* grid */ int nbSquareN[NMAX+1]; /* number of squares for each size */ int maxDups; /* maximum authorized number of identical squares */ int square[LMAX]; /* list of squares in the grid */ int prm; /* number of squares in the grid */ int prmGoal; /* number of squares to reach */ int currSol[LMAX]; /* list of squares of current solution */ int prmCurrSol; /* number of squares of current solution */ int bestSol[NMAX+1][LMAX]; /* list of solutions */ int prmBestSol[NMAX+1]; /* list of solutions' sizes */ int relPrime[NMAX+1][NMAX+1]; /* pre-computed table for relatively-prime tests */ int order[NMAX+1][NMAX+1]; /* pre-computed ordered square size tests */ clock_t chrono; char strChrono[20]; void compOrder () { int i,j; memset(order,0,sizeof(order)); for (i=1; i<=NMAX; i++) { order[i][0] = i; for (j=1; j2*n/3 /* Heuristic : first square is smaller than 2/3 */ ) || prm==2 && ( y==0 /* Heuristic : no more than 2 squares on first row */ || square[0]+square[1]==n /* we don't process symetrical cases */ && square[0]y?x:y); p = &cell[y][x+1]; while ((room < z) && (!(*(p++)))) room++; /* we try all valid-sized squares in (x,y), in pre-computed order */ for (pz=&order[room][0]; (z=*(pz++))>0; ) { if ( nbSquareN[z]>=maxDups /* Heuristic : no more than 3 identical squares (for N>10) */ || x==0 && y!=0 /* Heuristic : if 2 squares on first row, then 2 squares on first column */ && square[0]+square[1]==n && z!=square[1] ) continue; /* add new square to the list */ square[prm] = z; nbSquareN[z]++; prm++; /* add new square to the grid */ for (j=y+z-1; j>y; j--) { cell[j][x] = z; } /* look up for next empty cell, in 2 steps */ /* row y */ found = 0; for (x2=x+z; x2prmGoal) { complete(x2, y2); } /* remove square from list */ nbSquareN[z]--; prm--; /* remove square from grid */ for (j=y+z-1; j>y; j--) { cell[j][x] = 0; } } } int main () { int i, n1, o1; compRelPrime(); compOrder(); memset(prmBestSol, 0, sizeof(prmBestSol)); /* size-1 solution */ bestSol[1][0] = 1; prmBestSol[1] = 1; /* size-2 solution */ bestSol[2][0] = 1; bestSol[2][1] = 1; bestSol[2][2] = 1; bestSol[2][3] = 1; prmBestSol[2] = 4; /* size-3 solution */ bestSol[3][0] = 2; bestSol[3][1] = 1; bestSol[3][2] = 1; bestSol[3][3] = 1; bestSol[3][4] = 1; bestSol[3][5] = 1; prmBestSol[3] = 6; /* ask for starting values */ printf("Size: "); scanf("%d",&n1); printf("\n"); if (n1<=30 || n1>200) { n1=4; } else { printf("Order: "); scanf("%d",&o1); printf("\n"); if (o1<14) o1=14; for (i=n1-3; i10 ? 3 : 50); /* Heuristic : solution size should be median size of 3 previous ones, or +1 */ /* Note : this is because the list of orders is 'almost' increasing (size-41 case) */ prmGoal = (prmBestSol[n-3]+prmBestSol[n-2]+prmBestSol[n-1]+1)/3; prmCurrSol = (n>10 ? prmGoal+2 : 50); /* fill the grid */ timeReset(); complete(0, 0); print(n, currSol, prmCurrSol); /* save the solution */ memcpy(bestSol[n], currSol, sizeof(currSol)); prmBestSol[n] = prmCurrSol; } return 0; } -------------------------------------------------------------------------------------------------- General Primitives by Lance Gay 54-17 [19,23,12][12][17,2][2][12,12,1][13][1,19,2,2][18][17] 54-17 [20,17,17][3,17,14][16,7][7][7,7][2,20,2][18][2][16] 54-17 [20,18,16][2,14][2,2,16][17,7][7][7,7][20,3][17][17] 54-17 [20,19,15][4,11][4,4,15][17,3][11][11][20,3,3][17][17] 54-17 [20,20,14][14][14,7,15,4][4][7][7,11][20,1][19,4][15] 54-17 [20,20,14][14][17,14,9][5,9][5,4][1,4,4][20][17][17] 54-17 [20,21,13][13][14,5,1][4,13,5][9][4,14][4][20,20][14] 54-17 [21,16,17][14,1,1][19][14,7][7][7,7][19,2][1,18][17] 54-17 [21,19,14][7,7][17,2][14,7][16][7][19,1,1][18,1][17] 54-17 [22,15,17][13,2][19][11,11][5,8][21,6][3,3,3,18][15] 54-17 [22,16,16][13,19][13,9][2,2,9][4,2,7][2][19][19][16] 54-17 [22,16,16][13,19][14,4,4][5,3][8,8][5][19][18,1][17] 54-17 [22,16,16][13,19][15,7][6,6,8][2,10][19][17][8][9,9] 54-17 [22,16,16][13,19][15,7][8,6,6][2,10,19][17,8][9,9] 54-17 [22,16,16][4,17,11][2,2][15,11][11][2,21,5][2][17][16] 54-17 [22,16,16][6,7,19][13,7,8][7][6,1][16][19][19][8,8] 54-17 [22,16,16][8,24][13,7,2][5,5][6,11][19][14,14,7][7] 54-17 [22,17,15][2,2,11][5,16][16,11][11][21,4,2][2][17][16] 54-17 [22,18,14][14][2,5,11][2][16,7,1][6][1,13][25][16][13] 54-17 [22,19,13][13][2,11,6][1,1][16,8][5,1][14][24][16][14] 54-17 [22,20,12][12][11,5,4][16,6][1,15][6][3,3][23][16][15] 54-17 [22,20,12][8,4][4][15,17][14,8][3,5][3][1,19][18][17] 54-17 [23,10,5,16][5][9,6][22][9][9,9,5][4,10][22][16,16] 54-17 [23,14,17][11,3][20][11,11,1][1][12][20,2][1,1][17,17] 54-17 [24,13,17][11,2][2][19][11,11,13][19,2,1][1][1,18][17] 54-17 [24,14,16][11,2,1][1][19][11,11,1,1][13][19,3][19][16] 54-17 [24,15,15][9,21][11,11,11][19,10,4][3,18][7][9,1][8] 54-17 [24,17,13][13][8,9][15,9][8][7,10,5][5][21,3][18][15] 54-17 [24,17,13][4,9][16,5][14][15,9][21,3,1][1][1][18][15] 54-17 [24,19,11][11][7,9,3][14][15,9][7][5,4][4][21][18][15] 54-17 [24,20,10][10][13,17][13,11][2,11][2,2,9][17][17][10,10] 54-17 [24,20,10][10][13,9,8][15,9][8][2,7][2][21,3][18][15] 54-17 [26,18,10][10][4,13,1][1][11][4][14,11,5][6,23][17][14] 54-17 [27,27][17,14,8,15][4,4][2,6][3,13][3,12][10,10][9] 54-17 [28,26][1,10,15][1][13,8,8][18,8][13][2,13][1,1][10] 54-17 [28,26][1,11,14][1][10,10,9][3,17][16,2,2][7][14][7] 54-17 [28,26][11,15][13,10,5][5][1,5,5][16][13][1,1,13][12] 54-17 [28,26][11,15][13,15][6,5][13][1,1,13][1,6][11,11][6] 54-17 [28,26][11,15][13,15][7,4][13][3,3,13][11,4][3,10][7] 54-17 [28,26][11,15][13,9,6][3,3][17,6,3][3][13][2,13][11] 54-17 [28,26][12,14][11,12,5][5][1,16][10,1][1][14][14][5,5] 54-17 [28,26][12,14][12,11,5][5][1,16][1,1,10][14][14][5,5] 54-17 [28,26][12,14][8,4,11,5][4][5][9,3][1,16][15][14][9] 54-17 [28,26][2,10,14][12,5,13][5][5,5][2,3][14][14][13,13] 54-17 [28,26][2,10,14][12,9,9][1,9][2,17][1,1][14][14][9] 54-17 [28,26][2,10,14][13,12,5][5][5,5][2,3][14][14][13][13] 54-17 [28,26][2,12,12][13,17][4,4,16][13][3,5][9,9,2][7] 54-17 [28,26][2,12,12][15,8,7][1,3,3][7,2][16,16][11,11] 54-17 [28,26][2,5,5,14][13,14,3][13][14][13][12,2][10,5][5] 54-17 [28,26][2,9,15][13,17][9][13][2,13][1,1][1,10][9,9] 54-17 [28,26][3,13,10][13,11,4][3][7][3,7][15,15,4][13][11] 54-17 [28,26][6,6,14][12,11,5][1,11][6][1,1,15][14][14][11] 54-17 [28,26][8,9,9][11,5,6,6][4,1][20,1][19][2,2][15] 54-17 [28,26][8,9,9][13,8,7][7,1][1,6][19][9][13][13][9] 54-17 [28,26][8,9,9][13,9,6][13,1][19][9][13][8,1][7,7] 54-17 [28,26][8,9,9][8,7,13][7,1][1,6][19][9][13,13][9] 54-17 [28,26][9,9,8][13,8,7][1,7][1,19,6][9][13][13][9] 54-17 [29,25][11,14][15,7,7][18,7][4,10][11][10,5][5][5,5] 54-17 [29,25][14,11][9,9,11][2,9][16,2][1,1][1,15][14][9] 54-17 [29,25][6,19][13,14,2][8][4,4][12,1][11,11,1][10,10] 54-17 [29,25][7,9,9][13,13,3][8,2][20][4,4][12,12,2][10] 54-17 [29,25][8,17][9,9,11][4,4][3,5][16,2][14,2][12,12] 54-17 [30,24][10,14][16,7,7][3,7][17][3,3,8][13][8,8][8] 54-17 [30,24][11,13][11,7,12][7,2,2][2,5][17][2][13][12,12] 54-17 [30,24][11,13][12,11,7][7,2,2][2,5][17][2][13][12][12] 54-17 [30,24][11,13][12,13,5][12,2,2][17][12][11,2][2][7,7] 54-17 [30,24][13,11][12,11,7][2,2,7][2,17,5][2][13][12][12] 54-17 [30,24][13,11][16,7,7][2,9][17,6,6][11,1][10][8,8] 54-17 [30,24][5,19][1,4][18,10,3][7][14,3][11,11][6,6,6] 54-17 [30,24][5,5,14][1,9][18,13][7,16][11,2][9][6,6,6] 54-17 [30,24][6,9,9][14,8,11,3][21][6,2][1,1][13][10,10] 54-17 [30,24][7,17][18,10,1,1][9][14,5][4,13][9][6,6,6] 54-17 [30,24][9,15][12,10,5,3][8,4][5][4][15][14,1][13][12] 54-17 [30,24][9,15][13,15,2][1,1][11][15][11,2][1,10][9,9] 54-17 [30,24][9,15][16,11,3][6,6][2,15,10][13][8,8][5,5] 54-17 [31,23][8,15][11,11,9,4,4][5,3][2,16][2,14][12,12] 55-17 [19,20,16][4,12][18,1][17,8][8,8,4][4][1,19][18,18] 55-17 [19,20,16][8,8][18,1][17,4][12,8][4,4][1,19][18,18] 55-17 [19,21,15][15][17,2][15,8][7,1][8,8][19,19,1][1][17] 55-17 [20,17,18][3,3,10,1][19][16,10][10][3,7][3][19][18,18] 55-17 [20,23,12][12][17,3][12,12,1,1][14][1,20,3][1][18][17] 55-17 [21,17,17][10,5,19][15,6][5][5,5,11][4,6][19][19][17] 55-17 [21,17,17][2,18,14][2][16,7][7][7,7][2,20,3][18][17] 55-17 [21,18,16][2,14][3,17][17,7][7][7,7][20,2,2][18][17] 55-17 [21,21,13][13][13,13,9,7][2,11][9][9][21,5][2,18][16] 55-17 [21,21,13][13][17,13,6,6][1,12][7,6][1,5][21][17][17] 55-17 [22,16,17][14,1,1][19][14,8][6,8,8][19,1][19][1][17] 55-17 [22,16,17][7,7,1,1][19][14,7,1][15][7][19,2][19][17] 55-17 [22,18,15][3,12][2,19][2][12,12][12][21,3][18,2,2][16] 55-17 [22,21,12][12][1,1,16,3][12,12][15][21,3][18,1][1][16] 55-17 [23,15,17][13,2][19][13,5,5][8,10,5][5][19,2][19][17] 55-17 [23,16,16][9,23][11,11,1][1][10][21,1][11][7,16][9,9] 55-17 [23,20,12][12][3,15,2][2][14,12][14][2,2,20,3][18][17] 55-17 [25,20,10][10][11,19][16,9][11][9][3,16][14,2][1,13][12] 55-17 [25,20,10][10][12,18][18,7][13,6][7,17][12,6][10,10][6] 55-17 [26,18,11][11][14,4][10,5][14,12][5][6,23][1,17][1][15] 55-17 [28,27][1,12,14][14,15][4,8][14][13,1][12,8][8][4,4] 55-17 [28,27][1,12,14][14,15][8,4][14][13,1][12,4][4][8,8] 55-17 [28,27][1,6,10,10][14,15][6][2,18][4,4][13,1][12,12] 55-17 [28,27][1,6,6,14][13,11,5][6,11][1,16][1][14][14][11] 55-17 [28,27][12,15][17,11][3,16,4][3][1,1,13][6][10,10][6] 55-17 [28,27][13,14][10,13,5][5][5,5][3,2][15][2,14][14][12] 55-17 [28,27][13,14][13,10,5][5][3,5,5,2][15][14,2][14][12] 55-17 [28,27][13,14][14,6,4,4][2,6][8][4,2][15][14][13,13] 55-17 [28,27][13,14][14,6,8][4,2][6,4][4][2,15][14][13,13] 55-17 [28,27][6,11,10][18,5,5][11,5][1,9][17][11][9,9][9] 55-17 [29,26][10,16][13,16][5,5][4,5,1][13][4,13][10,10][9] 55-17 [29,26][10,16][13,8,8][1,1,8][18][13][2,1,13][1][11] 55-17 [29,26][10,16][13,8,8][1,9][9,8][13][3,13][10,10][9] 55-17 [29,26][10,8,8][14,8,7][2,14][19][8][12,2][10][7,7] 55-17 [29,26][11,15][13,8,8][18,4,5][4][1,14][13][3,3][10] 55-17 [29,26][11,15][13,8,8][18,5,4][1,4,14][13][3,3][10] 55-17 [29,26][12,14][10,10,9][3,17,1][16,2,2][1][15][7][7] 55-17 [29,26][12,7,7][13,7,9][5,9][7][5,17,4][13][13][12] 55-17 [29,26][2,12,12][1,1][15,16][7,17][11,4][3,10,10][7] 55-17 [29,26][2,13,11][1,1][13,9,9][2,9][17,1][16][13][9] 55-17 [29,26][3,7,16][13,15,4][11][13][3,13][11,11,4][3][7] 55-17 [29,26][5,5,16][13,14,2][12][13][3,13][12,12,2][5][5] 55-17 [29,26][5,5,16][13,7,7,2][5,7][19][7][13][3,13][10] 55-17 [29,26][7,7,12][13,12,4][13,5][17][7,5][13][9,9][7] 55-17 [29,26][7,7,12][13,7,9][9,5][7][5,4][17][13][13][12] 55-17 [29,26][7,7,12][7,9,13][9,5][7][5,4][17][13,13][12] 55-17 [29,26][9,8,9][13,8,8][8][2,7][9][18][13][13,2][11] 55-17 [29,26][9,9,8][13,8,8][8][2,9,7][18][13][2,13][11] 55-17 [30,25][11,14][16,14][9,2][1,1][16][2,11,1][10][9,9] 55-17 [30,25][5,20][14,9,12][5,2,2][3,1][13][11,11][10,10] 55-17 [30,25][9,16][9,9,12][9][16,2][1,1][2,14][13,1][12] 55-17 [31,24][12,12][13,8,10][5,19][5,3][1,14][2,2][11,11] 55-17 [31,24][4,4,16][3,5][12,11,9,2][7][2,15,15][13][12] 55-17 [31,24][7,17][16,11,11][3,14][13,7,2][5][8,8][6,6] 55-17 [33,22][10,12][8,2][14,12,7][14][15][2,10][8,8][7,7] 56-17 [19,20,17][3,14][18,1][17,7][7][7,7][3,4][19,19][18] 56-17 [19,21,16][5,11][18,1][1][16,11][11][5,6][19,19,1][18] 56-17 [20,21,15][15][18,1,1][15,8][7,1][8,8][20,2][18][18] 56-17 [21,17,18][8,8,1][19][17,4][12,8][4,4][1,19,19][18] 56-17 [22,16,18][3,11,2][20][3][14,11][11][3,3,5][20][18,18] 56-17 [22,16,18][7,7,2][20][14,7,1][15][7][20,1][1][18,18] 56-17 [22,17,17][12,22][15,7][4,15][4][19][5,17][12,8][4,4] 56-17 [22,17,17][14,20][14,8][6,1,1][8,8][20][1,19][1][17] 56-17 [22,17,17][15,19][15,7][4,3][7,7,4][4][3,20][19][17] 56-17 [22,18,16][2,2,12][4,13,5][17,9][5][3,14][25][17][14] 56-17 [22,21,13][13][1,15,5][16,7][18][7][2,20][18][12,6][6] 56-17 [23,13,20][13][6,14][9,14][11,8][9][22][4,2,19][2][15] 56-17 [23,15,18][5,5,5][2,16][3,14][13,13][8,22][20,6][14] 56-17 [23,20,13][13][14,6][14,9][4,15][4][5,2,2][22][19][15] 56-17 [23,20,13][13][3,14,3][13,13][3][8,8][8,22][20,6][14] 56-17 [23,21,12][12][1,17,3][1][12,12][15][21,3][18,1,1][17] 56-17 [23,21,12][12][2,2,14,3][15,12][15][3,21,2][2][18][17] 56-17 [23,22,11][11][14,19][14,9][5,4][9,9][19][4,15][11,11] 56-17 [23,22,11][11][3,13,17][15,6,2][5][6][5][3,21][18][17] 56-17 [23,22,11][11][8,8,17][16,7][8,15][1,7][17][17][11,11] 56-17 [24,16,16][12,20][13,7,4][5,11][6,1][1][6][20][19][17] 56-17 [25,11,20][11][2,18][13][7,8,10][7][6,2][4,21][18][17] 56-17 [25,14,17][11,3][20][11,11,14][20,2][1,19][1,1][1][17] 56-17 [25,14,17][11,3][4,16][4][12,12,8,8][9,23][19,5][14] 56-17 [26,20,10][10][9,21][20,3,3][15][6,15][12,3][10,10][9] 56-17 [27,17,12][6,6][15,1,1][14][11,11,5][10,24][18,4][14] 56-17 [29,27][13,14][14,15][4,8,1][15][13,1][12,8][8][4,4] 56-17 [29,27][2,14,11][18,13][2,9][1,1][1,15][14][9,9][9] 56-17 [29,27][2,8,17][18,13][4,4][3,5][14,2][12,12][9,9] 56-17 [29,27][2,9,16][12,12,7][5,4,7][1,3][15,15][13,13] 56-17 [29,27][5,11,11][13,13,3][8][4,18][2,6][14,14][4][10] 56-17 [29,27][8,11,8][18,11][5,3][8][9,5][16][13][9,9][9] 56-17 [29,27][8,8,11][18,11][5,8,3][5,9][16][13][9,9][9] 56-17 [30,26][11,15][11,11,8][1,10][9][15,7][15][1,9,9][8] 56-17 [30,26][11,15][11,6,6,7][5,6,1][19][15,1][15][7][7] 56-17 [30,26][11,15][13,11,6][5,1][6,6][15,1][15][1][13][13] 56-17 [30,26][12,14][12,5,13][5][5,5,2][2,3][16][14][13,13] 56-17 [30,26][12,14][12,9,9][1,9,2][2,17][16][1,1][14][9] 56-17 [30,26][12,14][13,12,5][5][5,5,2][2,3][16][14][13][13] 56-17 [30,26][13,13][14,7,9][5,2][3,17,17][4,4][12,2][10] 56-17 [30,26][14,12][13,12,5][5][2,5,5][2,16,3][14][13][13] 56-17 [30,26][4,11,11][14,10,10][3,19][7,16][12,2][1,1][9] 56-17 [30,26][4,7,15][11,7,13,3][10][4,3][3][15][15][13,13] 56-17 [30,26][4,7,15][13,11,7,3][10][4,3][3][15][15][13][13] 56-17 [30,26][4,7,15][13,15,3,3][13][15][13][11,4][3,10][7] 56-17 [30,26][7,19][16,12,2][1,1][9][4,14,3][11,11][10,10] 56-17 [30,26][9,17][13,12,5][7,7][14,7,5][13][4,13][9][7] 56-17 [31,25][11,14][13,9,9][4,4,3][17][5,5,16][12,1][11] 56-17 [31,25][11,14][15,11,5][3,10,3][3][17][14][10,5][10][5] 56-17 [31,25][3,11,11][3][17,12,5][7,20][6,13][8,8,1][7] 56-17 [32,24][12,12][13,15,4][8,20][3,5][11,2][9,9,2][7] 56-17 [33,23][8,15][4,4][11,11,9,2][7,3][18][2,14][12,12] 57-17 [20,23,14][14][17,3][14,7,5][7,12][7][2,5][20,20][17] 57-17 [21,18,18][3,15,18][16,8][8][8,4,3][21][20,4][4][16] 57-17 [21,18,18][7,18,11][17,4][11][11][2,21,4,2][19][2][17] 57-17 [23,16,18][7,7,2][20][14,7,16][7][20,1][1][1,19][18] 57-17 [23,17,17][11,23][13,5,5][8,13][21][6,17][8,5][11][8] 57-17 [23,17,17][11,23][16,7][2,9][9][9][18,7][6,17][11,11] 57-17 [23,17,17][13,21][13,5,5][8,2][10,5][5][21][2,19][17] 57-17 [23,17,17][14,20][14,9][5,9][5,4][1,4,4][20][20][17] 57-17 [23,17,17][3,17,14][3][15,11][3,11][4,23,4][19][4][15] 57-17 [23,17,17][7,7,20][14,8,1][7,8][6,9][8][20][20][17] 57-17 [23,18,16][2,2,12][5,17][16,12][12][2,22,5][2][18][17] 57-17 [23,21,13][13][16,5][16,7][12,6][7][6][2,20,1][19][18] 57-17 [23,22,12][12][1,17,2,2][12,12][16][22,2][2][18,1][17] 57-17 [25,14,18][12,2][2][20][12,12,1][13][20,2,2][1,19][18] 57-17 [25,16,16][10,22][12,12,1][11][20,11,4][3,19][7][9,9] 57-17 [27,20,10][10][6,6,18][1,11][18,10][20,1][19][12,6][6] 57-17 [29,28][1,13,14][14,16][4,8,1][15][14][12,8][8][4,4] 57-17 [29,28][1,13,14][14,8,8][12,4][16,1][15][14][8,4][4] 57-17 [29,28][1,13,14][18,12][4,4,16,1][15][2,6][10,10][6] 57-17 [29,28][1,6,6,15][14,11,5][6,11][17][14][1,14][1][12] 57-17 [29,28][13,15][14,15][3,8,2][14][3,14][13,5][3][8,8] 57-17 [29,28][8,10,10][17,12][5,3][1,19][2,2][5,16][11,11] 57-17 [29,28][9,7,12][17,12][2,5][11][17][5,7][11,11][9,9] 57-17 [30,27][12,15][13,8,9][4,4][3,18][1,10][15][14][5,5] 57-17 [30,27][2,9,16][1,1][18,14][9][2,14][13,1][12][9,9] 57-17 [30,27][3,12,12][10,10,13][6,18][17,3][14,2][8][4,4] 57-17 [31,26][11,15][11,7,13][7,4][4,3][3][3,16][15][13,13] 57-17 [31,26][11,15][13,11,7][7,4][4,3][3][3,16][15][13][13] 57-17 [31,26][15,11][13,11,7][4,7][4,3][16,3,3][15][13][13] 57-17 [31,26][6,6,14][15,8,8][7,5][2,3][7,18][17][11,11] 57-17 [31,26][8,18][13,11,7][4,4][4,11][15][13][5,13][8,8] 57-17 [32,25][9,16][9,9,12,2][11][16,2][16][1,1][13,1][12] 57-17 [33,24][10,14][16,13,4][3,3,4][9,1][19][11,11][8,8] 57-17 [33,24][8,16][1,7][16,12,6][12,1][17][12][8,8][6,6] 57-17 [33,24][9,15][16,11,9,6][3,18][2,10][13][8,8][5,5] 58-17 [20,20,18][5,13][19,18,3][8][5,8,8][2,3][20][19][19] 58-17 [20,21,17][4,13][19,1][17,9][4,9,9][4][20,1][19][19] 58-17 [21,18,19][3,14,1][20][17,7][7][7,7][3,4][20][19,19] 58-17 [21,21,16][5,11][16,11,17,3][3][14][5,6][21][20,3][17] 58-17 [22,17,19][5,11,1][1][20][16,11][11][5,6][20,1][19,19] 58-17 [22,18,18][14,22][17,5][5][7,12][19,5][4,18][14,7][7] 58-17 [22,20,16][4,12][3,13,8][18,4][3][7][5,15][25][18][15] 58-17 [23,17,18][15,1,1][20][15,8][7,1][8,8][20,2][20][18] 58-17 [25,15,18][12,3][21][12,12,1][1][13][21,3][1,1,19][18] 58-17 [25,21,12][12][2,16,3][2][15][15,12][3,21,2,2][19][18] 58-17 [25,22,11][11][6,15,12][22,3][9][3,9][21,6][15][11,11] 58-17 [27,13,18][8,5][3,20][11][11,11,5][8,8][20,2][20][18] 58-17 [28,20,10][10][11,19][16,9,3][14][9][19][14,2][1,13][12] 58-17 [30,28][11,17][11,5,5,9][6,4][19,5][17][5][4,13][9] 58-17 [30,28][13,15][10,13,7][3,4][7,3][3][17][4,15][15][11] 58-17 [30,28][13,15][13,10,7][3,4][3,3,7][17][15,4][15][11] 58-17 [30,28][13,15][13,6,11][6][1,6,17][1,1,5][15][15][11] 58-17 [30,28][2,10,16][14,9,9][1,9][19][14][2,14][1,1][11] 58-17 [30,28][2,11,15][13,10,9][1,19][2,9][1,1][15][15][9] 58-17 [30,28][2,11,15][16,7,9][5,2][3,19][4,4][15][12,12] 58-17 [30,28][3,5,20][17,12,1][2,2][9][5,16][11,11][10,10] 58-17 [30,28][5,8,15][13,11,3,3][8,3][11][2,17][15][15][11] 58-17 [30,28][5,8,15][14,13,3][8][8][2,3,3][15][15][14][14] 58-17 [30,28][6,6,16][14,11,5][1,11][6][17][14][1,1,14][13] 58-17 [30,28][7,14,7][14,11,5][6,6][7][17,6][5,16][14][11] 58-17 [31,27][11,16][11,6,7,7][5,1][20,6][16][1,15][7][7] 58-17 [31,27][5,5,17][18,12,1][11][15,4,4][3,14][11][9,9] 58-17 [31,27][7,7,13][18,10,3][7,10][4,9][17][14][9,9][9] 58-17 [32,26][10,16][11,7,10,4][3,11][4,3][3][16][16][15][11] 58-17 [32,26][10,16][13,10,5,4][5,9][5][1,4][16][16][13][13] 58-17 [32,26][7,19][13,9,9,1][8][17,9][13][6,13][8,1][7] 59-17 [20,21,18][7,11][19,1][18,4][11][11][3,4,4][20,20][19] 59-17 [21,19,19][5,13,20][18,3][8][5,8,8][2,3][20][20][19] 59-17 [21,21,17][7,10][19,17,3,3][10,3][13][4,6][21][19][19] 59-17 [22,18,19][4,13,1][20][17,9][4,9,9][4][20,1][20][19] 59-17 [23,17,19][15,2][21][15,8][7,1][8,8][21,1][1][19,19] 59-17 [23,18,18][5,13,18][16,12][4,4,5][4,16][23][20][8,8] 59-17 [23,20,16][4,12][8,16][18,5][13][8,4][4][5,23][18,18] 59-17 [25,17,17][13,21][13,6,6][1,12][7,6][1,5][21][21][17] 59-17 [25,22,12][12][3,15,2,2][16][16,12][2,22,3][2][19][18] 59-17 [26,15,18][12,3][21][12,12,1,1][14][21,3][1,20][1][18] 59-17 [27,20,12][12][9,7,4][3,13][16,11][10][9][1,22][21][16] 59-17 [29,20,10][10][12,18][20,6,3][9,6][6][3,21][18][10,10] 59-17 [30,29][1,12,16][10,10,11][19,1][18,6][2,14][8][4,4] 59-17 [30,29][1,13,15][15,8,8][8,4,4][4,17][15][14,1][13] 59-17 [30,29][12,17][12,7,11][5,2][2][18,7][17][2,2,13][11] 59-17 [30,29][13,16][13,5,12][5][3,2][17,5,5][16][2,14][12] 59-17 [30,29][14,15][14,8,8][3,8,5][3][3,16][15,2][15][13] 59-17 [30,29][4,11,14][17,10,3][7][7,19,2][1,1][16][12,12] 59-17 [30,29][7,7,15][14,13,3][3][7,10][1,16,3][15][15][13] 59-17 [31,28][3,11,14][14,12,8][4,12,3][17][16][14][8,4][4] 59-17 [31,28][3,11,14][14,8,12][8][4,4,3][17][4,16][14][12] 60-17 [21,22,17][5,12][19,1,1][17,12][12][5,7][1,21][20][19] 60-17 [21,23,16][16][19,2][16,9][7,9,9][1,21,1][20][1][19] 60-17 [21,23,16][8,8][19,2][16,8,1][17][8][1,21,2][20][19] 60-17 [23,21,16][16][5,16][17,3,3][11][5,11][3,23,6][20][17] 60-17 [25,17,18][16,1][19][17,8][8,8,4,4][4,23][1,19][18] 60-17 [28,16,16][13,19][13,7,8][7,6][6,1][25][16][19][8,8] 60-17 [28,20,12][12][9,7,4][3,13][10][16,11,1][10][23][21][16] 60-17 [31,29][13,16][13,7,11][3,4][3][18,7,3][16][4,15][11] 60-17 [31,29][14,15][15,8,8][8,4,4][4,17,1][16][14,1][13] 60-17 [32,28][13,15][13,10,9][1,19,2][2,9][17][1,1][15][9] 60-17 [32,28][13,15][16,7,9][5,2][3,19,2][17][4,4][12,12] 60-17 [34,26][11,15][11,7,13,3][10,4][4,3][19][3][15][13,13] 60-17 [34,26][11,15][13,11,7,3][10,4][4,3][19][3][15][13][13] 61-17 [21,22,18][9,9][20,1][18,5][9,14][4,5][21,1][20][20] 61-17 [21,23,17][3,14][3][19,2][17,11][3,11][6,8][21,21][19] 61-17 [22,19,20][7,11,1][21][18,4][11][11][3,4,4][21][20,20] 61-17 [23,19,19][7,10,21][17,3,3][10,3][13][4,6][21][21][19] 61-17 [23,20,18][2,16][3,19][18,8][8][8,8][2,22,3][20][19] 61-17 [23,20,18][9,9][8,12][18,5][5,13][13][9,8][21][20,20] 61-17 [23,22,16][8,8][1,19,2][16,8][18][8][22,2][20,1][19] 61-17 [24,21,16][5,11][3,17,6][16,11][17][5,3,3][23][21][17] 61-17 [24,21,16][5,11][3,20,3][16,11][3][14][5,6][21][20,20] 61-17 [25,18,18][7,11,18][16,12,4][8,7][25][4,16][20][8,8] 61-17 [25,19,17][2,15][4,17][2,2][18,11][4,11][25,7][18][18] 61-17 [25,22,14][14][3,13,6][14,14][10,10][10,3][23][22,6][16] 61-17 [31,30][7,7,16][15,13,3][3][7,10][17,3][15][1,15][14] 61-17 [32,29][13,16][13,9,10][4,5][4,19][16,1][16][10][5,5] 61-17 [32,29][3,10,16][13,10,12][5,5][3,7][5,17][16][16][12] 61-17 [33,28][5,9,14][14,8,12,4][8,5][8][19][4,16][14][12] 62-17 [23,17,22][12,5][7,20][17,6][6,6,13][5,7][22][20,20] 62-17 [23,19,20][9,9,1][21][18,5][9,14][4,5][21,1][21][20] 62-17 [32,30][5,8,17][15,11,3,3][8,3][11][19][15][2,15][13] 63-17 [22,24,17][17][20,2][17,9][8,1][9,9][1,22,2][21][20] 63-17 [24,19,20][5,12,1,1][22][17,12][12][5,7][22][1,21][20] 63-17 [25,18,20][16,2][22][16,9][7,9,9][22,1][1][1,21][20] 63-17 [25,18,20][8,8,2][22][16,8,1][17][8][22,2][1,21][20] 63-17 [26,17,20][14,3][23][14,7,5][7,12][7][2,5][23][20,20] 63-17 [26,18,19][17,1][20][17,9][4,9,9,4][4][24][20,1][19] 63-17 [32,31][1,14,16][15,9,9][5,9,4][18][1,4][16][16][13] 63-17 [32,31][4,11,16][15,14,3][7][4,14][1,17][16][16][7,7] 64-17 [24,20,20][4,20,16][17,11][6,5][5,11][24,1][23][6][17] 64-17 [24,23,17][6,11][1,6,17,5][20,5][16][11][24,4][20][20] 64-17 [27,21,16][5,11][20,6][16,11][17][5,3,3][23,3][21][20] 64-17 [29,17,18][16,1][19][17,8,4][12,4,4][8][27][1,19][18] 64-17 [29,19,16][3,13][11,11][16,13][1,12][12,11][23][3,22][19] 64-17 [33,31][15,16][15,9,9][5,9,4][18,1][1,4][17][16][13] 64-17 [35,29][13,16][13,10,12][5,5,3][3,7][19][5,17][16][12] 65-17 [25,19,21][3,14,2][23][3][17,11][3,11][6,8][23][21,21] 65-17 [27,20,18][2,16][7,15][18,16][8,8][8,7][23][2,22][20] 65-17 [33,32][4,11,17][16,14,3][7][4,7,7][18][16][1,16][15] 66-17 [26,19,21][17,2][23][17,9][8,1][9,9][23,2][1,22][21] 66-17 [28,19,19][15,23][15,7,6][1,13,7][8][6,1][24][23][19] 67-17 [29,18,20][16,2][22][16,8,5][13,8][8][5,25][22,2][20] 68-17 [25,23,20][3,17][7,19][20,5][12][5,12][3,26,7][23][19]