Now we place the 3rd queen in the available column. Here again, we don’t have a place to put the fourth queen. So we back track to
the first queen and change its position to the second column as shown in Fig.7 below.
Fig. 7 Placement of three queens
As, shown in the Fig. 8 below, for the 2nd queen we only have one place to put it on the chessboard.
Fig. 8 Placement of first queen with next column after backtracking
After placing the 2nd queen, the available options for next queen are shown below.
Fig. 9 Placement of two queens with different positions
Again, after placing third queen, the available option is as shown in Fig. 10 below.
Fig. 10 Placement of three queens with varying positions
After placing all queens one of the possible solution will look like the diagram shown below.
Fig. 11 One solution of all queens placed
We will repeat all the above steps to find another solution for the 4-queen problem. This whole process is shown in below diagram.
Fig. 12 Complete process tree for 4 queens placement
The data I have gathered is in the form of execution time required to find all possible unique solutions for a given number of queens. I have used two time stamps to find the actual execution time required for this serial algorithm. I have placed one timestamp named as 'start' at the beginning of the function and one timestamp named as 'end' after completion of this function. Then I have calculated the total execution time to find all solutions by simply taking the difference between these two values. I have used the 'Netbeans IDE ' profiler to run the program and collect the data. After collecting this data I have redirected these results to the respective log files. I...
... middle of paper ...
...IEEE IBM Journal of Research and Development Volume 31, July 1987, Issue 4 pg. 464-474
[7] Collins, R. L., Vellore, B., & Carloni, L. P. (2010, March). Recursion-driven parallel code generation for multi-core platforms. In Proceedings of the Conference on Design, Automation and Test in Europe (pp. 190-195). European Design and Automation Association.
[8] Rolfe, T. J. (2008). "A specimen MPI application: N-Queens in parallel" ACM SIGCSE Bulletin, 40(4), 42-45.
[9] Acar, U. A., Charguéraud, A., & Rainey, M. (2013, February). "Scheduling parallel programs by work stealing with private deques" In Proceedings of the 18th ACM SIGPLAN symposium on Principles and practice of parallel programming (pp. 219-228). ACM.
[10]http://scalibq.wordpress.com/2012/06/01/multi-core-and-multi-hreading/#comment-4565
[11]http://theory.cs.uvic.ca/amof/e_queeI.htm#application
have a Duke and a King on the same raft in the middle of the Mississippi river
For the well-to-do, eating during the Elizabethan and Jacobean periods was a fancy affair. A king or queen when going abroad could expect banquet tables filled with hundreds of dishes--for just one meal! There was much pageantry and entertainment. At Leicester, Queen Elizabeth I (predecessor of King James VI & I) was greeted with a pageant of welcome displayed on a temporary bridge. There were cages of live birds--bitterns, curlews, hernshaws and godwits. One pillar held great silver bowls piled with apples, pears, cherries, walnuts and filberts. Other pillars held ears of wheat, oats and barley, gigantic bunches of red and white grapes, great livery pots of claret and white wine, sea fish in quantity laying upon fresh grass, and the last pillar was devoted to the arts. There were arms and music explained by a blue-clad poet.
"Yeah. She wouldn't move any of her kings. What she'd do, when she'd get a king, she wouldn't move it. She'd just leave it in the back row. She'd get them all lined up in the back row. Then she'd never use them. She just liked the way the looked when they were all in the back row." (31-32)
First, the knight is giving two choices by the old woman; either he can pick her or someone else. The old woman’s actual words were “’You have two choices: which one will you try? To have me old and ugly till I die, but still a loyal, true and humble wife or would you rather I were young and pretty and chance your arm what happens in a city where friends will visit you because of me, yes, and in other places too, maybe. Which would you have? The choice is all your own.’” ([Prentice Hall Literature] page 149 lines 365-373). For the knight, this is a simple answer which he throws the question back at the old women, saying that you pick for me. Giving her the power to c...
On July 4, 1546, a notation made in King Henry VIII's Privy Council “the executors of John Smyth, late the Queen's receiver. . . allege that books remain in your custody to discharge these debts; we require you to show them.”1 It appeared that the king was going to dispose of his latest queen, Katherine Parr, as he had done to nearly every other wife he had until this time. It was through her education, kind nature and clever move of appealing to the king's pride that she was able to save her neck from the chopping block. Katherine was able to survive this episode and outlived King Henry VIII to be remembered in history as the wife who got away.
The author of Beowulf presented a great example of a queen when Queen Hygd was introduced. She was very thoughtful in the way that she thought of the needs of others before those of herself, and also how she cared for the Geats along with their kingdom. For example, after King Hygelac
is worthy of the position as the king as she expresses him as … " too
The King Menkaura and Queen (Old Kingdom, 2490-2472 BCE, Egypt, greywacke) displays a lack of female authority. King Menkaura is shown with one of his legs stretched out as if he was walking. His wife was sculpted as standing still. The King’s outstretched leg figuratively means that he will always be one step in front of
At the beginning of Snow White and The Seven Dwarfs, The Evil Queen is a beautiful woman who had a pale complexion, green eyes, red lips, and thin eyebrows. "Her features
Golden sections appear in the stairs and the ring of the trumpet carried by the fourth woman from the top. The lengths of the gowns from the sash below the breast to the bottom hem hit the phi point at their knees. The width of the interior door at the back of the top of the stairs is a golden section of the width of the top of the opening of the skylight. How many more can you find?
Within this room are a French and a Dutch bureaux, a silver model of the Verdala Palace by Francesco Meli (1903), six white and blue Persian vases donated to Grand Master Alof de Wignacourt by the Shah, Italian Majolica jars with snake-shaped handles, a 16th Century chandelier and on a side table is a 17th Century astronomical clock with imagery of Leda and the Swan on its base. This clock was made by Charles Andre' Boulle. It also bears an image of Father Time holding a Scythe and four Sphinxes at the base.
Once upon a time in the Kingdom of Dweven there was a princess, her name was Amelia. Amelia had just turned 21 and it was time for her to wed. Amelia was not your run-of-the-mill princess; she was sly, clever and cunning. Instead of just hosting a ball to find a proper suitor she decided to put eligible princes through an evaluation. She gathered ten princes from different kingdoms and invited to stay at her castle to compete for her hand in marriage. The ten princes were, Alexander, Baudouin, Casmir, James, Magnus, Philip, Leopold, Marius, Peter and Samuel. Some of the princes had good intentions while some didn’t.
... of the king’s army was dead, the Valour cheered loudly for what seemed like hours. Now that the king was overthrown, there was a debate between the surrounding cities of who should be the new king or queen. They finally decided that either Quinn, who defeated the king, or Thea, leader of the resistance, should gain the throne. Quinn stated that he would like Thea to be the new Queen, and he will assist her. The next day, the coronation was held in the middle of town. Everyone in the town and even others from nearby towns came to see the crowning of Thea. On the stage Thea stood smiling and waving to everyone, she was in a purple dress with golden outlines. As Quinn and Wildfire approached, she sat down. “Rise now as Queen” Quinn said as he put a golden crown laced with jewels on her head. Wildfire roared loudly, and the towns people cheered, “long live Queen Thea”
The water gleamed with the early light of the sun and the waves gently lapped against the concrete slab I sat on. I looked to my right and marveled at the stone bridge and tower and then my attention was drawn to the patch of trees growing on the side of the large building on the port. There were still droplets of water on them causing the leaves to catch the sunlight. A ship was being prepared for the queen’s journey to Jerusalem, and many crates were being loaded onto small boats that would eventually be taken on the queen’s journey. I watched two men load medium sized chest that was painted red with black hinges and rivets and wondered what treasures it could contain. Then I heard a dog barking vigorously and the sound brought me back to reality from my daydream. I turned to investigate the mutt’s howls and to my surprise a crowd of people had ventured into the port. The Queen had finally arrived. She was surrounded by men and women and I hardly caught a glimpse of her as she boarded a smaller boat headed toward the
I have five minutes to get in and out. Every night around 9:00pm the Queen will take off her crown for five minutes unguarded. I would have to learn many things to make it mine. I learned she kept her crown in a locked safe. At