Prime numbers are essential in computer security problem to perform certain operations over the Internet. It can be used for encryption. The larger the prime number used, the intricate it is to decipher the code. So finding the "massive" prime number is a current problem. One of the most ...
Hi guys! I'm trying to find an algorithm or idea for solving this problem: For array a[] has n element ( 2 <= n <= 10^5 , 1 <= a[i] <= 1e5 ) , find one co-prime number in this array ( if it doesn't have any,print -1) , simply: Find (i;j) ( 1<= i < j ...
Sieve of Eratosthenes is one of the prime number sieves, representing relatively efficient algorithms for finding primes. There are multiple algorithms suited for different prime number ranges, and they also have contrasting performance characteristics. Sieve of Eratosthenes can be considered the easiest ...
Finding Ugly Number using Dynamic Programming Egg dropping problem using Dynamic Programming Wild card matching problem using Dynamic programming Compute sum of digits in all numbers from 1 to N for a given N Minimum jumps required using Dynamic programming Graph Algorithms Graph coloring problem's sol...
So,T(n)=T(n/2)+1(time for finding pivot) Using the master theorem you can findT(n)to beLog2n. Also, you can think this as a series ofn/2+n/4+n/8+n/16+….+1which isLog2(n). Better way to find the pivot index
Algorithmsexist for many such infinite classes of questions;Euclid’sElements, published about 300bce, contained one for finding the greatest common divisor of two natural numbers. Every elementary-school student is drilled in long division, which is an algorithm for the question “Upon dividing a ...
Finding the lexicographically smallest string of length L containing k strings¶As in the previous problem, we calculate for each vertex the number of matches that correspond to it (that is the number of marked vertices reachable using suffix links). We reformulate the ...
SGA has a large change in fitness value during the iteration process, which is helpful in finding a better solution in the early and middle stages of the iteration, but not beneficial in the later stages of the iteration when the algorithm needs to be localised for deeper development. ISGA ...
For example, the ant colony optimization (ACO) algorithm (Dorigo et al. 2006) was inspired by the intelligent behavior of ants in finding the shortest path to their nest and food sources. The particle swarm optimization (PSO) algorithm (Kennedy and Eberhart 1995) was inspired by the ...
In the following, we propose the quantum inverse iteration algorithm for the estimation of the ground state energy (GSE) of a quantum system. It is inspired by the classical inverse power iteration algorithm for finding the dominant eigenstate of the matrix, where the computationally demanding part...