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Code style fixes.
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@ -72,7 +72,8 @@ a set of rules that precisely define a sequence of operations.
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* **Strings**
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* `A` [Levenshtein Distance](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/levenshtein-distance) - minimum edit distance between two sequences
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* `B` [Hamming Distance](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/hamming-distance) - number of positions at which the symbols are different
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* `A` [Knuth–Morris–Pratt Algorithm](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/knuth-morris-pratt) (KMP Algorithm) - substring search
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* `A` [Knuth–Morris–Pratt Algorithm](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/knuth-morris-pratt) (KMP Algorithm) - substring search (pattern matching)
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* `A` [Z Algorithm](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/z-algorithm) - substring search (pattern matching)
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* `A` [Rabin Karp Algorithm](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/rabin-karp) - substring search
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* `A` [Longest Common Substring](https://github.com/trekhleb/javascript-algorithms/tree/master/src/algorithms/string/longest-common-substring)
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* **Searches**
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@ -1,12 +1,16 @@
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import zAlgorithm from '../zAlgorithm';
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describe('zAlgorithm', () => {
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it('should find word position in given text', () => {
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expect(zAlgorithm('abcbcglx', 'abca')).toBe(-1);
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expect(zAlgorithm('abcbcglx', 'bcgl')).toBe(3);
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expect(zAlgorithm('abcxabcdabxabcdabcdabcy', 'abcdabcy')).toBe(15);
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expect(zAlgorithm('abcxabcdabxabcdabcdabcy', 'abcdabca')).toBe(-1);
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expect(zAlgorithm('abcxabcdabxaabcdabcabcdabcdabcy', 'abcdabca')).toBe(12);
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expect(zAlgorithm('abcxabcdabxaabaabaaaabcdabcdabcy', 'aabaabaaa')).toBe(11);
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it('should find word positions in given text', () => {
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expect(zAlgorithm('abcbcglx', 'abca')).toEqual([]);
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expect(zAlgorithm('abca', 'abca')).toEqual([0]);
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expect(zAlgorithm('abca', 'abcadfd')).toEqual([]);
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expect(zAlgorithm('abcbcglabcx', 'abc')).toEqual([0, 7]);
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expect(zAlgorithm('abcbcglx', 'bcgl')).toEqual([3]);
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expect(zAlgorithm('abcbcglx', 'cglx')).toEqual([4]);
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expect(zAlgorithm('abcxabcdabxabcdabcdabcy', 'abcdabcy')).toEqual([15]);
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expect(zAlgorithm('abcxabcdabxabcdabcdabcy', 'abcdabca')).toEqual([]);
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expect(zAlgorithm('abcxabcdabxaabcdabcabcdabcdabcy', 'abcdabca')).toEqual([12]);
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expect(zAlgorithm('abcxabcdabxaabaabaaaabcdabcdabcy', 'aabaabaaa')).toEqual([11]);
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});
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});
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@ -1,12 +1,13 @@
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// The string separator that is being used for "word" and "text" concatenation.
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const SEPARATOR = '$';
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/**
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* @param {string} word
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* @param {string} text
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* @param {string} zString
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* @return {number[]}
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*/
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function buildZArray(word, text) {
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const zString = `${word}$${text}`;
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function buildZArray(zString) {
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const zArray = new Array(zString.length);
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let left = 0;
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let right = 0;
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let k = 0;
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@ -44,14 +45,32 @@ function buildZArray(word, text) {
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/**
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* @param {string} text
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* @param {string} word
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* @return {number}
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* @return {number[]}
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*/
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export default function zAlgorithm(text, word) {
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const zArray = buildZArray(word, text);
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for (let i = 1; i < zArray.length; i += 1) {
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if (zArray[i] === word.length) {
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return (i - word.length - 1);
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// The list of word's positions in text. Word may be found in the same text
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// in several different positions. Thus it is an array.
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const wordPositions = [];
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// Concatenate word and string. Word will be a prefix to a string.
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const zString = `${word}${SEPARATOR}${text}`;
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// Generate Z-array for concatenated string.
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const zArray = buildZArray(zString);
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// Based on Z-array properties each cell will tell us the length of the match between
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// the string prefix and current sub-text. Thus we're may find all positions in zArray
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// with the number that equals to the length of the word (zString prefix) and based on
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// that positions we'll be able to calculate word positions in text.
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for (let charIndex = 1; charIndex < zArray.length; charIndex += 1) {
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if (zArray[charIndex] === word.length) {
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// Since we did concatenation to form zString we need to subtract prefix
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// and separator lengths.
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const wordPosition = charIndex - word.length - SEPARATOR.length;
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wordPositions.push(wordPosition);
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}
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}
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return -1;
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// Return the list of word positions.
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return wordPositions;
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}
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