1. It doesn't matter if a collision can be found in exponential time . 2. The program that uses Cantor's 1874 construction requires at least sub-exponential time . 3. That algorithm took worst-case exponential time but worked independently of the field. 4. This takes only exponential time in the size of the input, x. 5. For this reason, Pollard's lambda algorithm is considered an exponential time algorithm. 6. Na�vely implementing this computation as a recursive algorithm yields an exponential time complexity. 7. We can then decide " L " in deterministic exponential time as follows. 8. :: Being NP-complete certainly does not imply that the solution takes exponential time . 9. For some forms of local consistency, this algorithm may also require exponential time . 10. There are however exponential time exact edge coloring algorithms that give an optimal solution.