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Joined: Sun Apr 13, 2008 1:50 pm Posts: 191 Location: London
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Glyn wrote: An exercise in recursive programming. Shame I can't participate in this at present. Although not strictly required, recursion is quite efficient in this case. I'm not convinced we're heading for a unique solution on this one. [Edit] Here's the consolidated view up to 5 Rods - need to do a cross-check on 5 to make sure. 6 Rods solution is proving elusive at the moment, so don't know if I'll get a solution before I go away on vacation tonight.
{1}
{1, 3} {2} {1, 2} {4}
{2, 1, 7} {4, 5} {6} {3, 1, 5} {2, 8} {7} {1, 3, 6} {2, 5} {8} {1, 2, 5} {4, 6} {9} {3, 2, 4} {1, 7} {10}
{2, 1, 12, 4} {6, 5, 9} {8, 10} {7} {2, 13, 1, 4} {7, 3, 9} {6, 11} {8} {1, 11, 2, 4} {3, 7, 9} {5, 15} {8} {1, 4, 11, 2} {7, 3, 9} {6, 14} {8} {2, 11, 1, 5} {3, 7, 8} {4, 16} {9} {2, 1, 10, 6} {5, 7, 8} {4, 14} {9} {1, 13, 2, 4} {7, 3, 8} {5, 12} {9} {1, 11, 3, 5} {4, 6, 7} {2, 16} {9} {1, 13, 2, 3} {6, 4, 7} {8, 12} {9} {2, 3, 11, 4} {6, 1, 12} {8, 9} {10} {2, 7, 8, 3} {5, 1, 13} {4, 12} {10} {2, 13, 1, 4} {6, 3, 8} {7, 12} {10} {1, 11, 5, 3} {2, 7, 6} {4, 14} {10} {1, 13, 2, 4} {5, 3, 9} {7, 11} {10} {1, 6, 9, 4} {3, 2, 12} {8, 10} {11} {2, 3, 11, 4} {7, 1, 9} {6, 13} {12} {2, 6, 3, 7} {1, 14, 5} {4, 13} {12} {1, 10, 6, 3} {2, 5, 8} {4, 14} {12} {1, 8, 6, 5} {4, 3, 10} {2, 16} {12} {1, 3, 11, 5} {7, 2, 8} {6, 12} {13} {1, 6, 2, 10} {4, 11, 5} {3, 14} {13} {1, 12, 4, 2} {5, 3, 7} {9, 11} {14} {1, 11, 6, 2} {3, 4, 9} {5, 10} {14} {4, 6, 2, 5} {1, 15, 3} {9, 11} {14} {1, 7, 10, 2} {4, 5, 6} {3, 13} {14} {1, 9, 2, 6} {4, 3, 13} {5, 14} {15} {1, 2, 11, 6} {4, 5, 7} {8, 10} {15} {3, 11, 2, 4} {1, 8, 10} {5, 7} {15} {1, 9, 3, 4} {5, 6, 8} {2, 18} {15} {2, 8, 4, 3} {1, 5, 13} {9, 11} {16} {3, 8, 2, 7} {4, 1, 14} {6, 12} {16} {2, 4, 11, 3} {1, 7, 5} {9, 10} {16} {1, 3, 8, 6} {5, 2, 13} {9, 10} {16} {2, 6, 1, 11} {4, 10, 5} {3, 13}{17} {7, 2, 3, 8} {1, 14, 4} {6, 10} {17} {3, 2, 9, 4} {1, 7, 12} {6, 10} {17} {1, 11, 5, 3} {2, 7, 6} {4, 10} {18} {4, 9, 1, 6} {2, 3, 12} {8, 11} {18} {1, 4, 8, 3} {2, 7, 10} {6, 14} {18} {1, 2, 10, 5} {4, 7, 9} {6, 8} {19} {1, 9, 4, 2} {3, 5, 12} {7, 11} {19} {5, 6, 1, 8} {3, 10, 4} {2, 16} {19} {5, 3, 4, 6} {1, 14, 2} {9, 11} {19} {3, 2, 9, 4} {1, 6, 10} {8, 12} {19} {1, 5, 7, 3} {2, 9, 8} {4, 14} {20} {4, 5, 2, 8} {1, 13, 3} {6, 12} {20} {1, 4, 11, 2} {7, 3, 9} {6, 8} {20}
{2, 7, 15, 3, 8} {1, 16, 4, 10} {5, 23, 6} {13, 19} {12} {3, 8, 15, 2, 7} {1, 19, 10, 4} {5, 16, 6} {13, 18} {12} {3, 11, 4, 12, 5} {6, 19, 1, 8} {2, 22, 7} {10, 23} {13} {1, 11, 10, 8, 5} {2, 4, 20, 7} {3, 16, 9} {15, 17} {14} {4, 2, 12, 10, 7} {1, 20, 5, 8} {3, 16, 11} {9, 23} {15} {2, 12, 8, 10, 3} {5, 4, 19, 6} {1, 15, 11} {7, 24} {17} {3, 1, 15, 8, 6} {2, 11, 9, 12} {7, 18, 10} {5, 26} {17} {3, 8, 2, 18, 4} {1, 14, 12, 7} {5, 16, 9} {6, 23} {17} {2, 3, 16, 8, 4} {1, 14, 11, 9} {7, 6, 17} {10, 22} {18} {3, 12, 7, 2, 11} {1, 16, 10, 4} {5, 23, 6} {8, 25} {18} {3, 17, 7, 1, 5} {4, 12, 10, 9} {2, 21, 11} {14, 15} {18} {3, 5, 16, 1, 9} {2, 13, 14, 6} {7, 12, 11} {4, 28} {18} {2, 6, 18, 4, 3} {1, 11, 9, 14} {5, 10, 17} {13, 16} {19} {2, 10, 6, 8, 9} {4, 3, 22, 5} {1, 20, 11} {13, 15} {19} {7, 6, 12, 2, 8} {3, 21, 5, 4} {1, 16, 15} {11, 23} {19} {3, 5, 16, 1, 9} {2, 13, 14, 6} {7, 11, 12} {4, 28} {19} {2, 12, 10, 5, 6} {4, 3, 16, 9} {1, 17, 13} {8, 26} {20} {3, 4, 17, 6, 5} {8, 1, 13, 12} {2, 16, 15} {10, 19} {20} {7, 1, 14, 3, 9} {5, 11, 13, 6} {2, 21, 10} {4, 28} {20} {3, 13, 5, 10, 4} {1, 24, 2, 7} {6, 11, 12} {8, 22} {20} {1, 7, 14, 9, 3} {6, 13, 5, 11} {2, 15, 10} {4, 28} {20} {1, 6, 17, 5, 4} {8, 2, 11, 14} {3, 16, 15} {12, 18} {20} {3, 14, 5, 7, 6} {1, 8, 15, 10} {4, 16, 11} {2, 28} {21} {2, 8, 6, 11, 7} {4, 19, 3, 9} {5, 15, 13} {1, 29} {21} {1, 18, 5, 4, 7} {3, 10, 12, 8} {2, 15, 14} {6, 26} {21} {1, 11, 8, 5, 9} {2, 4, 23, 3} {7, 10, 18} {15, 16} {21} {2, 8, 12, 4, 7} {3, 14, 13, 5} {9, 6, 19} {1, 28} {21} {2, 3, 19, 6, 4} {8, 1, 14, 12} {11, 7, 13} {16, 17} {21} {3, 9, 6, 10, 4} {5, 17, 2, 11} {1, 26, 7} {8, 23} {21} {2, 9, 17, 1, 4} {3, 7, 13, 12} {6, 8, 16} {15, 19} {21} {1, 12, 16, 2, 4} {5, 3, 17, 7} {10, 9, 14} {11, 15} {21} {1, 8, 18, 2, 4} {5, 7, 10, 13} {3, 16, 15} {11, 14} {21} {3, 4, 15, 8, 5} {2, 12, 6, 11} {1, 24, 9} {10, 16} {21} {1, 10, 7, 14, 2} {5, 4, 20, 6} {3, 12, 13} {8, 19} {22} {2, 18, 1, 9, 5} {3, 8, 16, 7} {4, 13, 12} {6, 26} {22} {3, 6, 19, 2, 5} {4, 13, 1, 15} {8, 12, 11} {10, 24} {22} {1, 3, 8, 13, 6} {2, 16, 10, 7} {5, 15, 14} {9, 23} {22} {1, 10, 14, 5, 2} {8, 15, 3, 9} {13, 4, 16} {6, 28} {22} {6, 3, 15, 1, 10} {2, 5, 23, 4} {12, 8, 13} {14, 17} {22} {1, 9, 11, 7, 6} {4, 12, 14, 5} {2, 15, 8} {3, 29} {22} {3, 5, 20, 1, 6} {10, 9, 4, 11} {2, 14, 17} {12, 18} {22} {1, 9, 17, 2, 3} {8, 7, 6, 12} {4, 16, 14} {11, 24} {23} {3, 5, 16, 1, 9} {2, 13, 14, 6} {11, 7, 12} {4, 28} {23} {4, 2, 8, 16, 5} {7, 15, 3, 9} {1, 19, 13} {11, 17} {23} {1, 12, 6, 11, 4} {3, 5, 20, 7} {2, 14, 10} {9, 22} {23} {4, 14, 2, 10, 5} {1, 24, 3, 6} {11, 8, 13} {7, 22} {23} {1, 8, 2, 14, 5} {3, 15, 13, 4} {6, 20, 7} {12, 22} {23} {3, 5, 14, 6, 7} {1, 17, 12, 4} {2, 9, 15} {10, 21} {23} {3, 11, 8, 2, 7} {4, 12, 13, 5} {1, 26, 6} {15, 20} {23} {1, 7, 12, 3, 10} {4, 17, 9, 5} {2, 16, 11} {6, 28} {24} {2, 9, 17, 1, 5} {3, 10, 12, 8} {4, 15, 16} {7, 14} {24} {5, 1, 16, 3, 9} {4, 10, 13, 8} {7, 11, 15} {2, 30} {24} {2, 3, 18, 8, 4} {7, 6, 9, 10} {1, 16, 11} {14, 20} {24} {2, 10, 17, 1, 3} {8, 6, 5, 15} {7, 16, 9} {13, 22} {24} {2, 15, 11, 1, 6} {4, 16, 5, 9} {10, 3, 19} {8, 23} {24} {4, 11, 7, 2, 10} {1, 5, 23, 3} {8, 13, 14} {16, 17} {25} {2, 4, 12, 14, 3} {10, 5, 8, 11} {1, 20, 7} {9, 22} {25} {2, 5, 9, 13, 6} {3, 20, 1, 10} {4, 8, 18} {15, 17} {25} {7, 5, 10, 4, 9} {2, 6, 21, 3} {1, 17, 16} {11, 20} {25} {2, 5, 19, 3, 6} {8, 12, 1, 10} {4, 14, 16} {15, 17} {25} {2, 14, 4, 8, 7} {3, 10, 11, 6} {1, 22, 9} {5, 29} {25} {3, 1, 15, 8, 6} {2, 11, 9, 12} {7, 10, 18} {5, 26} {25} {2, 11, 17, 1, 3} {8, 6, 10, 9} {5, 15, 7} {12, 23} {26} {3, 4, 11, 12, 5} {2, 6, 16, 9} {13, 1, 20} {10, 19} {26} {1, 6, 18, 4, 5} {8, 11, 2, 10} {3, 17, 15} {14, 16} {26} {7, 3, 13, 4, 8} {1, 21, 9, 2} {5, 14, 15} {6, 18} {26} {3, 11, 4, 12, 5} {1, 6, 13, 9} {2, 23, 8} {10, 24} {26} {2, 5, 18, 6, 4} {12, 8, 1, 13} {3, 16, 11} {15, 17} {26} {1, 18, 2, 9, 4} {5, 3, 14, 10} {7, 16, 12} {6, 25} {26} {5, 12, 7, 3, 8} {2, 14, 9, 6} {1, 20, 13} {4, 28} {26} {1, 5, 19, 3, 7} {9, 8, 4, 11} {2, 18, 13} {14, 16} {26} {1, 8, 5, 17, 2} {6, 10, 11, 7} {12, 3, 20} {4, 25} {26} {1, 7, 18, 4, 2} {5, 9, 3, 16} {11, 10, 13} {15, 20} {27} {4, 9, 15, 1, 5} {2, 8, 12, 11} {3, 14, 18} {7, 19} {27} {5, 4, 6, 13, 7} {1, 21, 3, 8} {2, 12, 17} {16, 18} {27} {1, 5, 14, 12, 3} {2, 11, 10, 7} {8, 16, 9} {4, 18} {27} {2, 13, 1, 8, 10} {3, 4, 21, 5} {6, 17, 12} {11, 20} {27} {3, 7, 18, 1, 5} {9, 8, 4, 11} {2, 20, 13} {14, 16} {27} {5, 15, 4, 2, 8} {3, 9, 16, 7} {1, 17, 13} {11, 22} {27} {1, 7, 14, 2, 10} {3, 15, 13, 4} {5, 6, 19} {9, 20} {27} {4, 6, 16, 2, 5} {1, 19, 12, 3} {9, 8, 13} {11, 14} {27} {1, 12, 7, 11, 4} {3, 2, 21, 6} {8, 9, 16} {10, 14} {28} {2, 1, 15, 7, 10} {5, 9, 12, 8} {6, 13, 11} {4, 27} {28} {1, 9, 13, 7, 5} {6, 15, 3, 8} {14, 2, 17} {4, 27} {28} {3, 1, 15, 8, 6} {2, 11, 9, 12} {10, 7, 18} {5, 26} {28} {1, 10, 5, 17, 2} {3, 9, 14, 4} {7, 13, 8} {6, 25} {29} {4, 1, 20, 3, 7} {6, 9, 2, 16} {8, 14, 12} {13, 19} {29} {2, 12, 7, 6, 3} {1, 17, 5, 10} {4, 20, 11} {8, 26} {29} {1, 9, 6, 17, 2} {3, 8, 13, 7} {4, 14, 12} {5, 22} {29} {2, 4, 17, 1, 9} {3, 12, 13, 7} {11, 5, 14} {8, 26} {29} {3, 8, 2, 18, 4} {1, 14, 12, 7} {5, 16, 9} {6, 17} {29} {2, 4, 20, 1, 7} {10, 9, 3, 11} {5, 13, 17} {15, 16} {29} {6, 9, 7, 4, 8} {3, 14, 13, 5} {2, 21, 10} {1, 24} {29} {2, 12, 8, 10, 3} {1, 16, 7, 4} {9, 6, 19} {5, 26} {29} {2, 6, 18, 4, 3} {11, 9, 1, 13} {5, 12, 15} {16, 19} {29} {1, 4, 16, 7, 6} {3, 14, 8, 10} {2, 9, 15} {12, 19} {30} {7, 2, 12, 3, 8} {1, 18, 10, 6} {4, 22, 5} {13, 20} {30} {2, 14, 4, 9, 6} {1, 21, 3, 7} {5, 12, 11} {8, 26} {30} {1, 15, 7, 2, 10} {5, 13, 8, 6} {3, 17, 11} {4, 29} {30} {3, 5, 19, 1, 6} {4, 11, 2, 16} {12, 9, 14} {10, 22} {30} {4, 1, 15, 6, 7} {3, 14, 10, 8} {9, 2, 23} {12, 19} {30} {3, 7, 4, 13, 5} {6, 19, 1, 8} {2, 21, 12} {15, 16} {30} {3, 7, 13, 8, 4} {2, 16, 6, 5} {1, 14, 19} {9, 17} {30} {2, 11, 1, 16, 5} {7, 8, 10, 9} {3, 23, 6} {4, 20} {31} {2, 12, 8, 10, 3} {5, 4, 19, 6} {1, 15, 11} {7, 17} {31} {3, 6, 19, 1, 4} {12, 2, 8, 13} {7, 11, 16} {15, 17} {31} {1, 15, 6, 4, 8} {5, 2, 17, 11} {3, 20, 9} {13, 14} {31} {3, 17, 1, 6, 5} {2, 14, 9, 10} {4, 22, 8} {13, 15} {31} {3, 6, 16, 2, 8} {1, 13, 15, 5} {7, 12, 11} {4, 17} {31} {2, 7, 6, 14, 3} {1, 21, 4, 8} {11, 5, 19} {10, 18} {31} {4, 5, 15, 3, 7} {2, 11, 8, 14} {1, 16, 12} {6, 26} {31} {2, 14, 11, 1, 7} {5, 15, 3, 6} {4, 17, 13} {10, 22} {31} {1, 15, 8, 4, 6} {2, 5, 14, 11} {3, 17, 9} {13, 22} {31} {6, 2, 15, 1, 11} {3, 4, 21, 5} {10, 9, 13} {14, 20} {31} {2, 16, 6, 1, 10} {5, 9, 12, 8} {4, 15, 13} {3, 27} {31} {4, 8, 10, 7, 6} {3, 2, 19, 9} {1, 15, 11} {14, 20} {32} {2, 3, 18, 4, 6} {9, 7, 8, 11} {1, 12, 17} {14, 20} {32} {5, 10, 8, 1, 11} {2, 4, 22, 3} {7, 14, 13} {16, 17} {32} {1, 14, 4, 7, 9} {3, 2, 22, 6} {8, 13, 10} {12, 17} {32} {1, 10, 7, 12, 4} {3, 2, 20, 6} {8, 13, 14} {9, 15} {32} {3, 10, 5, 12, 4} {6, 20, 2, 7} {8, 11, 14} {1, 23} {32} {5, 2, 15, 3, 6} {1, 10, 19, 4} {8, 13, 14} {12, 16} {32} {1, 5, 4, 17, 3} {2, 12, 11, 8} {7, 15, 13} {16, 18} {32} {6, 8, 2, 11, 7} {4, 19, 3, 9} {1, 24, 5} {15, 17} {33} {1, 14, 9, 4, 3} {6, 11, 8, 10} {2, 20, 12} {5, 21} {33} {1, 2, 15, 8, 6} {4, 9, 11, 10} {7, 12, 16} {5, 22} {33} {3, 11, 4, 12, 5} {6, 19, 1, 8} {2, 22, 7} {10, 13} {33} {4, 2, 20, 1, 7} {10, 9, 5, 11} {3, 12, 17} {13, 18} {33} {1, 8, 12, 4, 6} {2, 13, 14, 5} {7, 11, 17} {3, 23} {33} {2, 7, 14, 8, 3} {1, 12, 5, 10} {4, 20, 6} {16, 19} {33} {1, 10, 14, 5, 2} {8, 15, 3, 9} {13, 4, 16} {6, 22} {34} {1, 2, 10, 11, 6} {4, 15, 7, 9} {5, 20, 8} {14, 18} {34} {3, 8, 12, 2, 7} {6, 13, 5, 10} {1, 26, 4} {16, 17} {35} {2, 9, 8, 10, 5} {3, 21, 1, 6} {4, 12, 14} {13, 20} {35} {1, 3, 18, 7, 2} {10, 5, 8, 11} {6, 14, 12} {16, 17} {35} {2, 14, 3, 9, 6} {1, 10, 13, 7} {4, 21, 8} {5, 22} {35}
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