Gmsh python generator#
Gmsh python software#
Gmsh python license#

Well, you extend the above premise by recognizing that for any position of character x in string 1 and some position of that character in string 2 that would be a valid match ( i.e the same number of character x appears in both strings up to their respective positions), then the total count of any other character up to those positions must also be equal. Of course, that won't help for a real stress-test which will guarantee that all possible letters have a frequency matched in both strings. In this way, you can prune the search space if such a character were to appear in the query, and you can test for this in constant time. You can count all character frequencies in both strings with a histogram which can be done in O(N) time. The next potential speedup is to recognize that any character which does not appear exactly the same number of times in both strings will instantly be a failed match. The test for membership is then basically the cost of an array lookup (and you can save operations by not doing the subtraction - instead just make the array larger and index directly by character. Alternatively, you can have an 18-value array and index it by character ( c - 'a' would give a value between 0 and 17).The set of allowed characters is now a mask with these bits ORed together and you can test membership of a character with a bitwise-AND Represent every letter as a single bit - now every character is an 18-bit value with only one bit set.The first obvious speedup is to ensure your set membership test is O(1). However, I was told that there was a way to solve this faster in O(N). Each query takes O(N) time to process, and there are N queries, for a total of O(N^2) time. Otherwise, the s1 and s2 are equal when restricted only to letters in the query. If at some point, the characters don't match, then the strings are not equal. I was able to solve this in O(N^2) time by doing the following: For each query, I checked if s1 and s2 would be equal by iterating through both strings, one character at a time, skipping the characters that do not lie within the subset of allowed characters, and checking to see if the 'allowed' characters from both s1 and s2 match. These don't match, so the query would return false. S1 and s2 can contain up to 10^5 characters, and there are up to 10^5 queries.įor instance, if s1 is 'aabcd' and s2 is 'caabd', and you are asked to process a query with the subset 'ac', then s1 becomes 'aac' while s2 becomes 'caa'. For each query, determine whether s1 and s2, when restricted only to the letters in the query, are equal. Each query provides a subset of lowercase English letters from 'a' through 'r'.

Gmsh python software#

Commercial licenses allowing to embed Gmsh in closed-sourced software are also available: see the website for more information.You are given two strings, s1 and s2, comprised entirely of lowercase letters 'a' through 'r', and need to process a series of queries.

Gmsh python license#

Gmsh is released under the GNU General Public License (GPL), version 2 or later. Major milestones include: Gmsh 2 in 2003 with OpenCASCADE integration, Gmsh 3 in 2017 with curvilinear meshing and boolean operations, and Gmsh 4 in 2018 with a stable C++, C, Python and Julia API. The Gmsh project was started in 1996, and open sourced in 2003.

The specification of any input to these modules is done either interactively using the graphical user interface, in ASCII text files using Gmsh's own scripting language, or using the C++, C, Python or Julia Application Programming Interface (API). Gmsh is built around four modules: geometry, mesh, solver and post-processing. Its design goal is to provide a fast, light and user-friendly meshing tool with parametric input and advanced visualization capabilities.

Gmsh python generator#

Gmsh is a 3D finite element mesh generator with built-in pre- and post-processing facilities.