GREENS ARE A DISH THAT MOST SOUTHERNERS WOULD WALK A MILE FOR. (Distributed by Andrews McMeel) Cryptoquote I have fallen into poetry and it has swallowed me up." - Keith Haring (Distributed by Tribune Content Agency) CRYPTOGRAPHY PUZZLES Celebrity Cipher Los Angeles Times crossword Today’s crossword (McMeel) Daily Commuter crossword SUDOKUĪnswer: His new F-150 truck had arrived at the dealer, so he went there to - PICK UP A PICKUP Many thanks to Peter for posing questions and pushing me to dig a little deeper.Note: Most subscribers have some, but not all, of the puzzles that correspond to the following set of solutions for their local newspaper. It seems to me now that sometimes a little brute force is not only easier, but that it can be faster than a more elegant solution as well. Yes, but sometimes a little brute force is easier than figuring out how to do an elegant solution. Simple logic and basic knowledge of sudoku rules won’t cut it you as a player should know advanced sudoku solving techniques and understand how to apply them in practice. It’s an advanced level only for experienced sudoku solvers. I think his response summarizes this whole exercise for me quite well. Sudoku evil is a 9×9 grid sudoku puzzle with the highest possible level of difficulty. When we were discussing how Peter had generated the graphs he used in his article, I remarked (tongue-in-cheek) that copying and pasting execution times into a spreadsheet sounded a lot like brute-force manual labour to me. The exact puzzle that required the original algorithm 91.06 seconds to solve took the modified version a mere 0.0079870224 seconds. Puzzle solutions for Tuesday, May 9, 2023. you want more certainty about the maximum time required to solve a single puzzle), my money is still on the modified version. When solving many, randomly generated puzzles the original is slightly faster on average.īut when the task at hand involves more difficult Sudoku puzzles, or when you are operating under strict time constraints (i.e. My modified algorithm does not solve every Sudoku puzzle faster, as the title of my previous post implied. The original algorithm solves these random puzzles about fourteen percent quicker on average, but the distribution of execution times is more spread out as is evident from the much larger standard deviation and higher maximum.īased on these findings I have to admit I was wrong. This is in line with Peter’s earlier findings. This seems to indicate that most of these random puzzles are easier to solve save for a few extreme puzzles. For the same puzzles, my modified version required an average of 0.008 seconds per puzzle (124 puzzles per second) with a maximum execution time of merely 5.75 seconds.īoth these averages are far lower than those for the ninety-five difficult puzzles attempted earlier, but the maxima are orders of magnitude higher. Peter’s original algorithm required an average of 0.007 seconds per puzzle (142 puzzles per second) with a maximum execution time of 91.06 seconds. Overnight, one million random puzzles were attempted by the two competing algorithms (999.925 were actually solved). This allowed me to measure execution times more precisely. Secondly, I modified the code so that it uses the timeit module for measuring execution times. This is especially important since Peter’s experiments showed that long execution times (difficult puzzles) are rare but have an extreme impact a few puzzles taking more than a minute to solve. Otherwise one algorithm might, simply by virtue of some serious bad luck, end up with more difficult puzzles. To make this a fair competition, I made some slight modifications.įirstly, I had to ensure that both algorithms were solving the exact same random puzzles. The results were a little unexpected, but not very surprising. So I set out to make a more rigorous analysis of the relative strengths of our approaches using the method for generating random puzzles included in the original code. I had only compared the performance of the two algorithms based on the ninety-five difficult puzzles provided by Peter, but he was not convinced. So maybe I was jumping to conclusions a little early in the game.Īfter I posted my own modified version of Peter Norvig’s Sudoku Solver, Peter and I had some brief discussion about my results and conclusions. Each number can only appear once column, row or 3x3 box. Sudoku - Rules of the games: Each of the nine blocks has to contain the numbers 1 to 9 in its squares. Sudoku es un puzle de lógica con reglas sencillas y soluciones desafiantes. The goal is to place the numbers 1 to 9 in each row, column and block (a subgrid of 3x3 cells). Solving Some Sudoku Puzzles Faster (I Stand Corrected) It is made of 9 rows, 9 columns and 9 blocks.
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