N-Queens Tests
8 Queens Microseconds 50 Samples
Algorithm Minimum Average Maximum Std Dev
Arc-Consistency 3 1846 4148 14220 2294
Arc-Consistency 4 3850 8987 27903 5022
Backjump 175 1057 3873 883
Backmark 198 737 3323 596
Backtracking 171 789 3132 652
Hill-Climber 1991 2097 2913 157
9 Queens Microseconds 50 Samples
Algorithm Minimum Average Maximum Std Dev
Arc-Consistency 3 2628 5785 15748 3202
Arc-Consistency 4 7492 18057 56587 11114
Backjump 208 1410 6184 1325
Backmark 214 866 4468 880
Backtracking 210 1269 6156 1186
Hill-Climber 1309 1398 1953 102
10 Queens Microseconds 50 Samples
Algorithm Minimum Average Maximum Std Dev
Arc-Consistency 3 3820 10680 30708 6963
Arc-Consistency 4 12624 46645 148221 31212
Backjump 248 3970 16736 3805
Backmark 283 1504 7613 1433
Backtracking 227 2857 12882 3022
Hill-Climber 24575 25608 33563 2037
My hill-climber results are pretty disappointing. I have gotten some decent runs of back-marking for n = 50 and n = 60 queens. I show the n = 60 queens experiment below.
==Menu==
**Instance Submenu**
1 Single Instance Test
2 Multiple Instances Test
3 Exit
Enter an option '1' to '3': 2
**Algorithm Submenu**
1 Arc-Consistency 3
2 Arc-Consistency 4
3 Backjump
4 Backmark
5 Chronological Bactracking
6 Evolutionary Hill-Climber
7 Exit
Enter an algorithm ('1' to '7'): 4
Enter the number of queens for option '2': 60
Enter the number of samples to be analyzed: 10
Minimum Runtime in Microseconds: 4819
Average Runtime in Microseconds: 10419330
Maximum Runtime in Micorseconds: 45439444
Standard Sample Deviation: 16665688
Notice the misspelling of microseconds.
Author: jamespatewilliamsjr
My whole legal name is James Pate Williams, Jr. I was born in LaGrange, Georgia approximately 70 years ago. I barely graduated from LaGrange High School with low marks in June 1971. Later in June 1979, I graduated from LaGrange College with a Bachelor of Arts in Chemistry with a little over a 3 out 4 Grade Point Average (GPA). In the Spring Quarter of 1978, I taught myself how to program a Texas Instruments desktop programmable calculator and in the Summer Quarter of 1978 I taught myself Dayton BASIC (Beginner's All-purpose Symbolic Instruction Code) on LaGrange College's Data General Eclipse minicomputer. I took courses in BASIC in the Fall Quarter of 1978 and FORTRAN IV (Formula Translator IV) in the Winter Quarter of 1979. Professor Kenneth Cooper, a genius poly-scientist taught me a course in the Intel 8085 microprocessor architecture and assembly and machine language. We would hand assemble our programs and insert the resulting machine code into our crude wooden box computer which was designed and built by Professor Cooper. From 1990 to 1994 I earned a Bachelor of Science in Computer Science from LaGrange College. I had a 4 out of 4 GPA in the period 1990 to 1994. I took courses in C, COBOL, and Pascal during my BS work. After graduating from LaGrange College a second time in May 1994, I taught myself C++. In December 1995, I started using the Internet and taught myself client-server programming. I created a website in 1997 which had C and C# implementations of algorithms from the "Handbook of Applied Cryptography" by Alfred J. Menezes, et. al., and some other cryptography and number theory textbooks and treatises.
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Numerical Explorations 