N-Queens Recursive Algorithm with Multi-threading

Let's put the third queen in the blank. There is no place to put another queen here. So return to the first queen and change its position to the second row, as shown in Figure 7 below. The position of the three queen in Figure 7 is shown in Figure 8. In the second queen, there is only one position on the board. After the first queen is placed in the next row and the second queen is placed in the next row, the options available for the next queen are as follows.

What does this mean for the future of computing? Have you dealt with recursive algorithms like "n-queens" or if you have found fibonacci (n), you know that this type of large-scale computation uses huge computing power It is. Calculating the world record of the n level queen is 31. It takes 200 days to use five super computers. According to Microsoft, 10 years later, this problem is solved immediately by quantum computer. The increase in computing power and speed sounds very exciting, but it can also be a disaster. These speed improvements can compromise the current way of validating users. Text passwords may be outdated due to purely violent attacks. This may be a new era of machine learning. Skynet's entry? We will find the answer within 10 years.

For Fibonacci numbers that need to be solved for index n, we need to call the same Fibonacci number recursively for the values ​​of n - 1 and n - 2. We already know some of these mathematics. If the ratio of the two quantities is compared to the ratio of the two elements, the two quantities are golden ratios when compared to the larger of the two quantities. Combination operation time T (n - 1) and time T (n - 2) of two internal algorithms are equal to the time when φ (φ or φ) increases to an arbitrary power of n.

A computable number, also called a recursive number, is given as a positive positive number n and is a real number such that there is an algorithm that produces the first n digits of a decimal representation of a computable number. Equivalent definitions can be obtained using μ recursive functions, Turing machines, or lambda calculations. Computable numbers are stable for all common arithmetic operations such as computing the roots of the polynomial to form a true closed body containing real algebra.