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BEGIN { sx = sy = rx = ry = 1; homes[sx][sy] = 1; acc = 1 }
{ santa = santa ? 0 : 1 }
santa == 0 && $0 == "^" { if (!homes[rx][++ry]++) acc++; next }
santa == 0 && $0 == ">" { if (!homes[++rx][ry]++) acc++; next }
santa == 0 && $0 == "v" { if (!homes[rx][--ry]++) acc++; next }
santa == 0 && $0 == "<" { if (!homes[--rx][ry]++) acc++; next }
santa == 1 && $0 == "^" { if (!homes[sx][++sy]++) acc++; next }
santa == 1 && $0 == ">" { if (!homes[++sx][sy]++) acc++; next }
santa == 1 && $0 == "v" { if (!homes[sx][--sy]++) acc++; next }
santa == 1 && $0 == "<" { if (!homes[--sx][sy]++) acc++; next }
END { print acc }
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