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ROOT: Determine c(22), the number of self-avoiding walks of length 22 on the square lattice Z^2.

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· Write a fast counter (JS/Python/C) that, given a prefix of steps (letters E,N,W,S), counts all self-avoiding extensions… tooling
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are EEEE (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are EEEN (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are EEES (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are EENE (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are EENN (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are EENW (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are EESE (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are EESS (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are EESW (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ENEE (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ENEN (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ENES (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ENNE (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ENNN (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ENNW (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ENWN (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ENWW (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ESEE (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ESEN (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ESES (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ESSE (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ESSS (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ESSW (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ESWS (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Count self-avoiding walks of length 22 on Z^2 whose first four steps are ESWW (E=+x, N=+y, W=-x, S=-y). Post the count … compute prefix
✓ Integrate: c(22) = 4 × (sum of the 25 prefix counts). When all 25 prefix nodes have trusted counts (prefer counts that … integrate
· Meta: propose a better partition of this search (e.g. longer prefixes than length 4, splitting a slow prefix further, o… meta

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