solving PentahexTriangle6: solution 1: 00,00 00,01 00,02 01,00 01,01 D5 11,00 12,00 12,01 13,00 14,00 E5 10,01 11,01 11,02 12,02 13,01 G5 00,10 00,11 00,12 00,13 00,14 I5 01,10 01,11 01,12 01,13 02,09 J5 02,10 02,11 02,12 03,09 04,08 L5 03,10 03,11 04,10 05,09 06,08 P5 04,09 05,08 06,07 07,07 08,06 N5 04,07 05,07 06,06 07,04 07,05 C5 07,06 08,04 08,05 09,04 09,05 A5 09,03 10,02 10,03 10,04 11,03 X5 00,09 01,08 01,09 02,08 03,08 p5 00,08 01,06 01,07 02,07 03,07 Y5 00,06 00,07 01,05 02,03 02,04 S5 02,05 02,06 03,03 03,04 04,02 W5 00,03 00,04 00,05 01,02 01,04 u5 01,03 02,00 02,01 02,02 03,01 T5 03,00 03,02 04,00 04,01 05,00 V5 08,03 09,00 09,01 09,02 10,00 q5 04,03 05,03 06,01 06,02 07,02 y5 05,01 05,02 06,00 07,00 07,01 U5 06,03 07,03 08,00 08,01 08,02 r5 __ / \__ \ / \__ / \ / \__ \ / \ / \__ / \ / \ \__ \ / \ / __ \__ / \ / \__/ \__ \__ \ / \__ \__ \__/ \__ / \__ \__ \__ __ \__ \__/ \__/ \__/ \__/ \__/ \__ / __/ __ \__ / \__ \__ __/ \__/ \__ \ \ \__ / \__/ __/ \ / __/ __/ \__ \__ __/ / \__/ / __ \__ / \ / \ \__/ \__ \ / \__/ \ \ / \ / __/ \__ \__/ \ __/ / \__/ \__ __/ __ \ / __/ __/ \__ \__ \__/ \__/ \ / \__/ __/ / \__ \ / __ __/ \ \__/ \ \ / \__/ \ / \ / __/ / __/ \__ \ / \ / \__/ \ / \__/ \__/ \__/ \__/ / \__ \__ \__ __/ \__ \ \ \__/ / \__/ __/ __/ \ \ / __/ / / \__/ \ \__/ / __/ \__/ solution 2: 00,00 00,01 00,02 01,00 01,01 D5 11,00 12,00 12,01 13,00 14,00 E5 10,01 11,01 11,02 12,02 13,01 G5 00,10 00,11 00,12 00,13 00,14 I5 01,10 01,11 01,12 01,13 02,09 J5 02,10 02,11 02,12 03,09 04,08 L5 03,10 03,11 04,10 05,09 06,08 P5 04,09 05,08 06,07 07,07 08,06 N5 04,07 05,07 06,06 07,04 07,05 C5 07,06 08,04 08,05 09,04 09,05 A5 09,03 10,02 10,03 10,04 11,03 X5 00,09 01,08 01,09 02,08 03,08 p5 00,08 01,06 01,07 02,07 03,07 Y5 00,06 00,07 01,05 02,03 02,04 S5 02,05 02,06 03,03 03,04 04,02 W5 00,03 00,04 00,05 01,02 01,04 u5 01,03 02,00 02,01 02,02 03,01 T5 03,00 03,02 04,00 04,01 05,00 V5 08,03 09,00 09,01 09,02 10,00 q5 04,03 05,03 06,01 06,02 07,02 y5 06,03 07,01 07,03 08,01 08,02 U5 05,01 05,02 06,00 07,00 08,00 r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solution 3: 00,00 00,01 00,02 01,00 01,01 D5 11,00 12,00 12,01 13,00 14,00 E5 10,01 11,01 11,02 12,02 13,01 G5 00,10 00,11 00,12 00,13 00,14 I5 01,10 01,11 01,12 01,13 02,09 J5 02,10 02,11 02,12 03,09 04,08 L5 03,10 03,11 04,10 05,09 06,08 P5 04,09 05,08 06,07 07,07 08,06 N5 04,07 05,07 06,06 07,04 07,05 C5 07,06 08,04 08,05 09,04 09,05 A5 09,03 10,02 10,03 10,04 11,03 X5 00,09 01,08 01,09 02,08 03,08 p5 00,08 01,06 01,07 02,07 03,07 Y5 00,06 00,07 01,05 02,03 02,04 S5 02,05 02,06 03,03 03,04 04,02 W5 00,03 00,04 00,05 01,02 01,04 u5 01,03 02,00 02,01 02,02 03,01 T5 03,00 03,02 04,00 04,01 05,00 V5 07,01 08,01 08,02 09,00 10,00 y5 07,02 07,03 08,03 09,01 09,02 U5 06,01 06,02 06,03 07,00 08,00 r5 04,03 05,01 05,02 05,03 06,00 q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solution 4: 00,00 00,01 00,02 01,00 01,01 D5 11,00 12,00 12,01 13,00 14,00 E5 10,01 11,01 11,02 12,02 13,01 G5 00,10 00,11 00,12 00,13 00,14 I5 01,10 01,11 01,12 01,13 02,09 J5 02,10 02,11 02,12 03,09 04,08 L5 03,10 03,11 04,10 05,09 06,08 P5 04,09 05,08 06,07 07,07 08,06 N5 04,07 05,07 06,06 07,04 07,05 C5 07,06 08,04 08,05 09,04 09,05 A5 09,03 10,02 10,03 10,04 11,03 X5 00,09 01,08 01,09 02,08 03,08 p5 00,08 01,06 01,07 02,07 03,07 Y5 00,06 00,07 01,05 02,03 02,04 S5 02,05 02,06 03,03 03,04 04,02 W5 00,03 00,04 00,05 01,02 01,04 u5 01,03 02,00 02,01 02,02 03,01 T5 03,00 03,02 04,00 04,01 05,00 V5 07,01 08,01 08,02 09,00 10,00 y5 06,03 07,03 08,03 09,01 09,02 r5 06,01 06,02 07,00 07,02 08,00 U5 04,03 05,01 05,02 05,03 06,00 q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solution 5: 00,00 00,01 00,02 01,00 01,01 D5 11,00 12,00 12,01 13,00 14,00 E5 10,01 11,01 11,02 12,02 13,01 G5 00,10 00,11 00,12 00,13 00,14 I5 01,10 01,11 01,12 01,13 02,09 J5 02,10 02,11 02,12 03,09 04,08 L5 03,10 03,11 04,10 05,09 06,08 P5 04,09 05,08 06,07 07,07 08,06 N5 04,07 05,07 06,06 07,04 07,05 C5 07,06 08,04 08,05 09,04 09,05 A5 09,03 10,02 10,03 10,04 11,03 X5 00,09 01,08 01,09 02,08 03,08 p5 00,08 01,06 01,07 02,07 03,07 Y5 00,06 00,07 01,05 02,03 02,04 S5 02,05 02,06 03,03 03,04 04,02 W5 00,03 00,04 00,05 01,02 01,04 u5 01,03 02,00 02,01 02,02 03,01 T5 03,00 03,02 04,00 04,01 05,01 y5 04,03 05,00 05,02 06,00 06,01 r5 05,03 06,02 06,03 07,00 07,01 q5 08,00 08,01 08,02 09,00 10,00 V5 07,02 07,03 08,03 09,01 09,02 U5 __ / \__ \ / \__ / \ / \__ \ / \ / \__ / \ / \ \__ \ / \ / __ \__ / \ / \__/ \__ \__ \ / \__ \__ \__/ \__ / \__ \__ \__ __ \__ \__/ \__/ \__/ \__/ \__/ \__ / __/ __ \__ / \__ \__ __/ \__/ \__ \ \ \__ / \__/ __/ \ / __/ __/ \__ \__ __/ / \__/ / __ \__ / \ / \ \__/ \__ \ / \__/ \ \ / \ / __/ __ \__/ \ __/ / \__/ \__ __/ \ / \ / __/ __/ \__ \__ \__/ / \ / \__/ __/ / \__ \ / \__ \__/ \__/ \__/ \ \ / \__ \__ \ __/ / __/ \__ \__ \ / __/ \ / \__/ \__/ \ / \__/ / \__ \__ __/ \__/ \__ \ \ / __/ / \__/ __/ \__/ \ \ / __/ / / \__/ \ \__/ / __/ \__/ solution 6: 00,00 00,01 00,02 01,00 01,01 D5 11,00 12,00 12,01 13,00 14,00 E5 10,01 11,01 11,02 12,02 13,01 G5 00,10 00,11 00,12 00,13 00,14 I5 01,10 01,11 01,12 01,13 02,09 J5 02,10 02,11 02,12 03,09 04,08 L5 03,10 03,11 04,10 05,09 06,08 P5 04,09 05,08 06,07 07,07 08,06 N5 04,07 05,07 06,06 07,04 07,05 C5 07,06 08,04 08,05 09,04 09,05 A5 09,03 10,02 10,03 10,04 11,03 X5 00,09 01,08 01,09 02,08 03,08 p5 00,08 01,06 01,07 02,07 03,07 Y5 00,06 00,07 01,05 02,03 02,04 S5 02,05 02,06 03,03 03,04 04,02 W5 00,03 00,04 00,05 01,02 01,04 u5 01,03 02,00 02,01 02,02 03,01 T5 03,00 03,02 04,00 04,01 05,01 y5 04,03 05,00 05,02 06,00 06,01 r5 05,03 06,02 06,03 07,00 07,01 q5 08,00 08,02 09,00 09,01 10,00 V5 07,02 07,03 08,01 08,03 09,02 U5 __ / \__ \ / \__ / \ / \__ \ / \ / \__ / \ / \ \__ \ / \ / __ \__ / \ / \__/ \__ \__ \ / \__ \__ \__/ \__ / \__ \__ \__ __ \__ \__/ \__/ \__/ \__/ \__/ \__ / __/ __ \__ / \__ \__ __/ \__/ \__ \ \ \__ / \__/ __/ \ / __/ __/ \__ \__ __/ / \__/ / __ \__ / \ / \ \__/ \__ \ / \__/ \ \ / \ / __/ __ \__/ \ __/ / \__/ \__ __/ \ / \__/ __/ __/ \__ \__ \__/ / \__ \__/ __/ / \__ \ / \__ \__ \ \__/ \ \ / \__ \__ \__/ __/ / __/ \__ \__ \ / __/ \ / \__/ \__/ \ / \__/ / \__ \__ __/ \__/ \__ \ \ / __/ / \__/ __/ \__/ \ \ / __/ / / \__/ \ \__/ / __/ \__/ solution 7: 00,00 00,01 00,02 01,00 01,01 D5 11,00 12,00 12,01 13,00 14,00 E5 10,01 11,01 11,02 12,02 13,01 G5 00,10 00,11 00,12 00,13 00,14 I5 01,10 01,11 01,12 01,13 02,09 J5 02,10 02,11 02,12 03,09 04,08 L5 03,10 03,11 04,10 05,09 06,08 P5 04,09 05,08 06,07 07,07 08,06 N5 04,07 05,07 06,06 07,04 07,05 C5 07,06 08,04 08,05 09,04 09,05 A5 09,03 10,02 10,03 10,04 11,03 X5 00,09 01,09 02,08 03,07 03,08 q5 00,07 00,08 01,08 02,06 02,07 U5 00,05 00,06 01,06 01,07 02,05 y5 07,01 08,00 08,01 09,00 10,00 p5 06,03 07,03 08,03 09,01 09,02 r5 05,03 06,01 06,02 07,02 08,02 Y5 03,02 04,01 05,01 06,00 07,00 W5 02,02 03,00 03,01 04,00 05,00 T5 00,03 00,04 01,02 02,00 02,01 S5 02,04 03,04 04,02 04,03 05,02 u5 01,03 01,04 01,05 02,03 03,03 V5 __ / \__ \ / \__ / \ / \__ \ / \ / \__ / \ / \ \__ \ / \ / __ \__ / \ / \__/ \__ \__ \ / \__ \__ \__/ \__ / \__ \__ \__ __ \__ \__/ \__/ \__/ \__/ \__/ \__ / __ / __ \__ / \__ \__/ \__ \__/ \__ \ \ \__ / __ \__/ \ / __/ __/ \__ \ / \ / / \__/ / __ \__ / \ / \ \__/ \__ \ / \__/ \ \__/ \__/ __/ __ \__/ \ __/ / __ \__ __/ __/ \ / __/ __/ \ / \__/ \__/ \__/ __/ \__/ __/ / \ / __ \__ __/ \__/ \__/ \__/ \__/ \ \ / __/ / \ __/ __/ \__ __/ \ / __/ \__/ \__/ \__/ / \__/ \__ __ __/ \__ \__ \__/ \__/ / \__ \ __/ \ \ / __/ / / \__/ \ \__/ / __/ \__/ solution 8: 00,00 00,01 00,02 01,00 01,01 D5 11,00 12,00 12,01 13,00 14,00 E5 10,01 11,01 11,02 12,02 13,01 G5 00,10 00,11 00,12 00,13 00,14 I5 01,10 01,11 01,12 01,13 02,09 J5 02,10 02,11 02,12 03,09 04,08 L5 03,10 03,11 04,10 05,09 06,08 P5 04,09 05,08 06,07 07,07 08,06 N5 04,07 05,07 06,06 07,04 07,05 C5 07,06 08,04 08,05 09,04 09,05 A5 09,03 10,02 10,03 10,04 11,03 X5 00,09 01,09 02,08 03,07 03,08 q5 00,06 00,07 00,08 01,07 01,08 p5 00,05 01,05 01,06 02,06 02,07 W5 07,01 08,01 08,02 09,00 10,00 y5 07,02 07,03 08,03 09,01 09,02 U5 06,01 06,02 06,03 07,00 08,00 r5 04,01 05,01 05,02 05,03 06,00 Y5 03,00 03,01 03,02 04,00 05,00 V5 00,03 00,04 01,02 02,00 02,01 S5 01,03 02,02 02,03 03,03 04,02 u5 01,04 02,04 02,05 03,04 04,03 T5 __ / \__ \ / \__ / \ / \__ \ / \ / \__ / \ / \ \__ \ / \ / __ \__ / \ / \__/ \__ \__ \ / \__ \__ \__/ \__ / \__ \__ \__ __ \__ \__/ \__/ \__/ \__/ \__/ \__ / __ / __ \__ / \__ \__/ \__ \__/ \__ \ \ \__ / / \__/ \ / __/ __/ \__ \ \ / / \__/ / __ \__ / __/ \ \__/ \__ \ / \__/ \ \ / __/ __/ __ \__/ \ __/ / \ / \__ __/ \ / \ / __/ __/ \__/ \ \__/ \ / \ / \__/ __/ / __/ __ \ / \__/ \__/ \__/ \__/ __/ \__/ \ / __ __/ / \__/ __ \ / \__/ \__/ \ / / \__/ \__ __/ / \__ \ / __ \__/ \__ \__/ \__/ \__/ / \__ \ __/ \ \ / __/ / / \__/ \ \__/ / __/ \__/ solution 9: 00,00 00,01 00,02 01,00 01,01 D5 11,00 12,00 12,01 13,00 14,00 E5 10,01 11,01 11,02 12,02 13,01 G5 00,10 00,11 00,12 00,13 00,14 I5 01,10 01,11 01,12 01,13 02,09 J5 02,10 02,11 02,12 03,09 04,08 L5 03,10 03,11 04,10 05,09 06,08 P5 04,09 05,08 06,07 07,07 08,06 N5 04,07 05,07 06,06 07,04 07,05 C5 07,06 08,04 08,05 09,04 09,05 A5 09,03 10,02 10,03 10,04 11,03 X5 00,09 01,09 02,08 03,07 03,08 q5 00,06 00,07 00,08 01,07 01,08 p5 00,05 01,05 01,06 02,06 02,07 W5 07,01 08,01 08,02 09,00 10,00 y5 06,03 07,03 08,03 09,01 09,02 r5 06,01 06,02 07,00 07,02 08,00 U5 04,01 05,01 05,02 05,03 06,00 Y5 03,00 03,01 03,02 04,00 05,00 V5 00,03 00,04 01,02 02,00 02,01 S5 01,03 02,02 02,03 03,03 04,02 u5 01,04 02,04 02,05 03,04 04,03 T5 __ / \__ \ / \__ / \ / \__ \ / \ / \__ / \ / \ \__ \ / \ / __ \__ / \ / \__/ \__ \__ \ / \__ \__ \__/ \__ / \__ \__ \__ __ \__ \__/ \__/ \__/ \__/ \__/ \__ / __ / __ \__ / \__ \__/ \__ \__/ \__ \ \ \__ / / \__/ \ / __/ __/ \__ \ \ / / \__/ / __ \__ / __/ \ \__/ \__ \ / \__/ \ \ / __/ __/ __ \__/ \ __/ / \ / \__ __/ __/ \ / __/ __/ \__/ \ \__/ \__/ \ / \__/ __/ / __/ __ \ / __/ \__/ \__/ \__/ __/ \__/ \ / __ __/ / \__/ __ \ / \__/ \__/ \ / / \__/ \__ __/ / \__ \ / __ \__/ \__ \__/ \__/ \__/ / \__ \ __/ \ \ / __/ / / \__/ \ \__/ / __/ \__/ solution 10: 00,00 00,01 00,02 01,00 01,01 D5 11,00 12,00 12,01 13,00 14,00 E5 10,01 11,01 11,02 12,02 13,01 G5 00,10 00,11 00,12 00,13 00,14 I5 01,10 01,11 01,12 01,13 02,09 J5 02,10 02,11 02,12 03,09 04,08 L5 03,10 03,11 04,10 05,09 06,08 P5 04,09 05,08 06,07 07,07 08,06 N5 04,07 05,07 06,06 07,04 07,05 C5 07,06 08,04 08,05 09,04 09,05 A5 09,03 10,02 10,03 10,04 11,03 X5 01,08 02,06 02,07 03,07 03,08 y5 00,07 00,08 00,09 01,09 02,08 r5 00,06 01,06 01,07 02,05 03,04 Y5 08,03 09,00 09,01 09,02 10,00 q5 02,00 03,00 03,01 04,01 04,02 W5 04,00 05,00 05,01 06,00 06,01 p5 01,04 02,03 03,03 04,03 05,02 S5 00,04 00,05 01,03 01,05 02,04 U5 00,03 01,02 02,01 02,02 03,02 T5 07,00 07,02 08,00 08,01 08,02 u5 05,03 06,02 06,03 07,01 07,03 V5 __ / \__ \ / \__ / \ / \__ \ / \ / \__ / \ / \ \__ \ / \ / __ \__ / \ / \__/ \__ \__ \ / \__ \__ \__/ \__ / \__ \__ \__ __ \__ \__/ \__/ \__/ \__/ \__/ \__ / __ \ / __ \__ / \__ \ / \__/ \__/ \__ \ \ \__ / \__ __/ \ / __/ __/ \__ \ / \ / / \__/ / __ \__ / \ / \ \__/ \__ \ / \__/ \ \__/ \__/ __/ \__ \__/ \ __/ / __ \__ __/ __/ \ / __/ __/ \__/ \__ \__/ / / \__/ __/ / __ \__/ \__ \__ \ \__/ \ / \__/ __ \__ \ / __/ / \__ __/ \__/ \__/ \__/ \__ \__/ \ / / __/ / \__/ __/ \ \__/ \__ / __/ __/ / \__ \ / __/ \ \__/ \__/ / / __/ \ \__/ / __/ \__/