solving PentahexTriangle4: solution 1: 00,11 00,12 00,13 00,14 01,13 P5 02,12 03,11 04,10 05,09 06,08 I5 00,09 00,10 01,08 02,07 03,07 C5 02,08 03,08 04,07 04,08 05,08 E5 00,00 00,01 00,02 01,00 01,01 D5 10,01 11,00 12,00 13,00 14,00 J5 09,03 10,02 11,01 12,01 13,01 L5 08,04 09,04 10,03 11,02 12,02 S5 07,06 08,05 09,05 10,04 11,03 N5 06,06 06,07 07,05 07,07 08,06 U5 04,06 05,05 05,06 05,07 06,05 A5 00,06 00,07 00,08 01,06 02,05 T5 01,07 02,06 03,06 04,04 04,05 G5 02,04 03,04 03,05 04,03 05,03 y5 00,04 00,05 01,03 01,05 02,02 r5 00,03 01,02 02,00 02,01 03,01 Y5 01,04 02,03 03,03 04,02 05,02 W5 03,00 03,02 04,00 04,01 05,00 V5 05,01 06,00 06,01 07,00 08,00 p5 08,02 09,00 09,01 09,02 10,00 X5 05,04 06,02 06,03 06,04 07,01 q5 07,02 07,03 07,04 08,01 08,03 u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solution 2: 00,11 00,12 00,13 00,14 01,13 P5 02,12 03,11 04,10 05,09 06,08 I5 00,09 00,10 01,08 02,07 03,07 C5 02,08 03,08 04,07 04,08 05,08 E5 00,00 00,01 00,02 01,00 01,01 D5 10,01 11,00 12,00 13,00 14,00 J5 09,03 10,02 11,01 12,01 13,01 L5 08,04 09,04 10,03 11,02 12,02 S5 07,06 08,05 09,05 10,04 11,03 N5 06,06 06,07 07,05 07,07 08,06 U5 04,06 05,05 05,06 05,07 06,05 A5 00,08 01,06 01,07 02,06 03,06 T5 00,06 00,07 01,05 02,05 03,04 G5 08,02 08,03 09,01 09,02 10,00 p5 06,01 06,02 07,00 08,00 09,00 r5 06,03 07,01 07,02 07,03 08,01 X5 04,05 05,03 05,04 06,04 07,04 Y5 03,05 04,03 04,04 05,01 05,02 W5 03,01 04,01 04,02 05,00 06,00 y5 02,00 02,01 02,02 03,00 04,00 V5 00,04 00,05 01,04 02,04 03,03 q5 00,03 01,02 01,03 02,03 03,02 u5 __ / \__ \ \__ / __/ \__ \ / \__ \__ / \ \__ \__ \ / \__ \__ / \ \__ \__ \__/ __/ \__/ \__ / \ __/ __/ __ \__ \ / __/ / \ / \__/ \__ / \__/ __ \ / \__ __ \__ \__ \__/ \__/ \__ \__/ \__ \__ / \__ __/ \__/ __ \__/ \__ \__ \__/ \__ __/ \__/ \__ __/ \__ / \ __/ \__/ __/ \__ \__/ __/ \ \ / __/ \__ __/ \ \__ __/ __/ / \__/ \__ \ / / / \__/ __/ \__ __ \ / \__ \__ \__ __/ / \__/ \__/ \__/ \ \__ \__/ \ __ \__ \ / __/ \__/ / __/ \__/ \ / \__/ __/ \__/ __ \ / \__ __/ / / \__/ \__/ \__/ \__ \ / __ __/ / \__/ \__/ \__/ \ \ __/ / / __/ \ \__/ / __/ \__/ solution 3: 00,11 00,12 00,13 00,14 01,13 P5 02,12 03,11 04,10 05,09 06,08 I5 00,09 00,10 01,08 02,07 03,07 C5 02,08 03,08 04,07 04,08 05,08 E5 00,00 00,01 00,02 01,00 01,01 D5 10,01 11,00 12,00 13,00 14,00 J5 09,03 10,02 11,01 12,01 13,01 L5 08,04 09,04 10,03 11,02 12,02 S5 07,06 08,05 09,05 10,04 11,03 N5 06,06 06,07 07,05 07,07 08,06 U5 04,06 05,05 05,06 05,07 06,05 A5 00,08 01,06 01,07 02,06 03,06 T5 00,06 00,07 01,05 02,05 03,04 G5 08,01 08,03 09,01 09,02 10,00 y5 06,02 07,01 07,02 08,00 09,00 u5 05,03 06,03 07,03 07,04 08,02 Y5 03,05 04,04 04,05 05,04 06,04 p5 04,01 04,02 05,01 06,01 07,00 q5 03,01 03,02 04,00 05,00 06,00 r5 01,04 02,04 03,03 04,03 05,02 W5 01,02 02,00 02,01 02,02 03,00 X5 00,03 00,04 00,05 01,03 02,03 V5 __ / \__ \ \__ / __/ \__ \ / \__ \__ / \ \__ \__ \ / \__ \__ / \ \__ \__ \__/ __/ \__/ \__ / \ __/ __/ __ \__ \ / __/ / \ / \__/ \__ / \__/ __ \ / \__ __ \__ \__ \__/ \__/ \__ \__/ \__ \__ / \__ __/ \__/ __ \__/ \__ \__ \__/ \__ __/ \__/ \__ __/ \__ / \ __/ \__/ \ / \__ \__/ __/ \ \ / __/ __/ \__ \__ __/ __/ / \__/ \__ __/ __ \ / \__/ __/ \__ __ \__/ __/ \__/ \__ __/ / \__/ \__/ \__/ / __ \__/ \ / __ __ \__ \__/ \__/ / \__/ \__/ \__/ \__ __/ \ __/ \ __ \__/ / __/ \ / __/ \__/ \__/ / \__/ __/ / \__ \__ __/ \ \ \__/ / / __/ \ \__/ / __/ \__/ solution 4: 00,11 00,12 00,13 00,14 01,13 P5 02,12 03,11 04,10 05,09 06,08 I5 00,09 00,10 01,08 02,07 03,07 C5 02,08 03,08 04,07 04,08 05,08 E5 00,00 00,01 00,02 01,00 01,01 D5 10,01 11,00 12,00 13,00 14,00 J5 09,03 10,02 11,01 12,01 13,01 L5 08,04 09,04 10,03 11,02 12,02 S5 07,06 08,05 09,05 10,04 11,03 N5 06,06 06,07 07,05 07,07 08,06 U5 04,06 05,05 05,06 05,07 06,05 A5 00,08 01,06 01,07 02,06 03,06 T5 00,06 00,07 01,05 02,05 03,04 G5 07,02 08,01 09,01 09,02 10,00 y5 06,01 07,00 07,01 08,00 09,00 p5 06,02 06,03 07,03 08,02 08,03 u5 04,05 05,03 05,04 06,04 07,04 Y5 03,05 04,03 04,04 05,01 05,02 W5 04,00 04,01 04,02 05,00 06,00 V5 01,02 02,00 02,01 02,02 03,00 X5 00,03 01,03 02,03 03,01 03,02 r5 00,04 00,05 01,04 02,04 03,03 q5 __ / \__ \ \__ / __/ \__ \ / \__ \__ / \ \__ \__ \ / \__ \__ / \ \__ \__ \__/ __/ \__/ \__ / \ __/ __/ __ \__ \ / __/ / \ / \__/ \__ / \__/ __ \ / \__ __ \__ \__ \__/ \__/ \__ \__/ \__ \__ / \__ __/ \__/ __ \__/ \__ \__ \__/ \__ __/ \__/ \__ __/ \__ / \ __/ \__/ __/ \__ \__/ __/ \ \ / __/ \__ __/ / \__ __/ __/ / \__/ \__ \ / __ \ / \__/ __/ \__ __ \ / \ / \__/ \__ __/ / \__/ \__/ \__/ \__ __ \__/ \ __ \__ \__/ \__/ \__/ / __/ \__/ \ / __/ \__/ __ \ / \__ __/ / __/ \ / \__/ \__/ \__/ / \ __/ / \__ \__/ __/ \ \ \__/ / / __/ \ \__/ / __/ \__/ solution 5: 00,11 00,12 00,13 00,14 01,13 P5 02,12 03,11 04,10 05,09 06,08 I5 00,09 00,10 01,08 02,07 03,07 C5 02,08 03,08 04,07 04,08 05,08 E5 00,00 00,01 00,02 01,00 01,01 D5 10,01 11,00 12,00 13,00 14,00 J5 09,03 10,02 11,01 12,01 13,01 L5 08,04 09,04 10,03 11,02 12,02 S5 07,06 08,05 09,05 10,04 11,03 N5 06,06 06,07 07,05 07,07 08,06 U5 04,06 05,05 05,06 05,07 06,05 A5 00,08 01,06 01,07 02,06 03,06 T5 00,05 00,06 00,07 01,05 02,05 V5 08,02 09,00 09,01 09,02 10,00 X5 06,02 06,03 06,04 07,04 08,03 r5 07,00 07,02 07,03 08,00 08,01 G5 05,00 05,02 06,00 06,01 07,01 y5 03,03 04,03 04,04 05,03 05,04 p5 02,03 02,04 03,04 03,05 04,05 W5 03,00 04,00 04,01 04,02 05,01 q5 00,03 01,02 02,00 02,01 03,01 Y5 00,04 01,03 01,04 02,02 03,02 u5 __ / \__ \ \__ / __/ \__ \ / \__ \__ / \ \__ \__ \ / \__ \__ / \ \__ \__ \__/ __/ \__/ \__ / \ __/ __/ __ \__ \ / __/ / \ / \__/ \__ / \__/ __ \ / \__ __ \__ \__ \__/ \__/ \__ \__/ \__ \__ / \__ __/ \__/ __ \__/ \__ \__ \__/ \__ __/ \__/ \__ __/ \__ / \ __/ \__/ __ \__ \__/ __/ \ \ / __/ __/ \ / \__/ \__ __/ __/ / \__/ \ / / \ / / \__/ __/ \ __/ \ \ / \__ \__ __/ / __/ __/ __/ \__ \ \__/ \__/ \ / __/ \__/ \ / __/ / / \__/ \__ __/ \__/ \__ \__/ \ \ / __/ / \__ __/ __/ \__/ \__ \__/ \ / __/ / \__ __/ \__/ \ \ / __/ / / \__/ \ \__/ / __/ \__/ solution 6: 00,11 00,12 00,13 00,14 01,13 P5 02,12 03,11 04,10 05,09 06,08 I5 00,09 00,10 01,08 02,07 03,07 C5 02,08 03,08 04,07 04,08 05,08 E5 00,00 00,01 00,02 01,00 01,01 D5 10,01 11,00 12,00 13,00 14,00 J5 09,03 10,02 11,01 12,01 13,01 L5 08,04 09,04 10,03 11,02 12,02 S5 07,06 08,05 09,05 10,04 11,03 N5 06,06 06,07 07,05 07,07 08,06 U5 04,06 05,05 05,06 05,07 06,05 A5 00,08 01,06 01,07 02,06 03,06 T5 00,05 00,06 00,07 01,05 02,05 V5 08,02 09,00 09,01 09,02 10,00 X5 06,02 06,03 06,04 07,04 08,03 r5 07,00 07,02 07,03 08,00 08,01 G5 05,02 05,03 06,00 06,01 07,01 y5 03,03 04,02 04,03 04,04 05,04 q5 02,03 02,04 03,04 03,05 04,05 W5 00,04 01,03 01,04 02,02 03,02 u5 00,03 01,02 02,00 02,01 03,01 Y5 03,00 04,00 04,01 05,00 05,01 p5 __ / \__ \ \__ / __/ \__ \ / \__ \__ / \ \__ \__ \ / \__ \__ / \ \__ \__ \__/ __/ \__/ \__ / \ __/ __/ __ \__ \ / __/ / \ / \__/ \__ / \__/ __ \ / \__ __ \__ \__ \__/ \__/ \__ \__/ \__ \__ / \__ __/ \__/ __ \__/ \__ \__ \__/ \__ __/ \__/ \__ __/ \__ / \ __/ \__/ __ \__ \__/ __/ \ \ / __/ __/ \ / \__/ \__ __/ __/ / \__/ \ / __/ \ / / \__/ __/ \ __/ \ / \ / \__ \__ __/ / __/ __/ \ / \__ \ \__/ \__/ \ / / \__/ \ / __/ / / \__ \__ __/ \__/ \__ \__/ \__/ \ / __/ / \__ __/ / \__/ \__ \__/ \ \__/ / \__ __/ __/ \ \ / __/ / / \__/ \ \__/ / __/ \__/ solution 7: 00,11 00,12 00,13 00,14 01,13 P5 02,12 03,11 04,10 05,09 06,08 I5 00,09 00,10 01,08 02,07 03,07 C5 02,08 03,08 04,07 04,08 05,08 E5 00,00 00,01 00,02 01,00 01,01 D5 10,01 11,00 12,00 13,00 14,00 J5 09,03 10,02 11,01 12,01 13,01 L5 08,04 09,04 10,03 11,02 12,02 S5 07,06 08,05 09,05 10,04 11,03 N5 06,06 06,07 07,05 07,07 08,06 U5 04,06 05,05 05,06 05,07 06,05 A5 00,08 01,06 01,07 02,06 03,06 T5 00,05 00,06 00,07 01,05 02,05 V5 08,02 09,00 09,01 09,02 10,00 X5 05,04 06,03 06,04 07,04 08,03 u5 06,02 07,02 07,03 08,00 08,01 y5 04,02 05,01 06,00 07,00 07,01 r5 04,04 04,05 05,02 05,03 06,01 W5 01,04 02,04 03,04 03,05 04,03 Y5 00,03 00,04 01,02 01,03 02,01 p5 02,00 02,02 02,03 03,00 03,01 G5 03,02 03,03 04,00 04,01 05,00 q5 __ / \__ \ \__ / __/ \__ \ / \__ \__ / \ \__ \__ \ / \__ \__ / \ \__ \__ \__/ __/ \__/ \__ / \ __/ __/ __ \__ \ / __/ / \ / \__/ \__ / \__/ __ \ / \__ __ \__ \__ \__/ \__/ \__ \__/ \__ \__ / \__ __/ \__/ __ \__/ \__ \__ \__/ \__ __/ \__/ \__ __/ \__ / \ __/ \__/ __ \__ \__/ __/ \ \ / __/ \ / / \__/ \__ __/ __/ / \__/ \ / \__ \ / / \__/ __/ \ __/ \__ \__/ \__ \__ __/ / __/ __ \ / __ \ \__/ \__/ __/ \__/ \__/ \ / __/ / \__/ \ / \__ \ / \__/ \ \ / \__ \__/ \__/ / / \__ \__ __/ \__ \__ \ \__/ / \__ \ / __/ \ \__/ \__/ / / __/ \ \__/ / __/ \__/