Skip to content

Commit dc0244e

Browse files
Merge branch 'master' into improve-power-sum-algorithm
2 parents 4668a37 + d437d58 commit dc0244e

File tree

9 files changed

+564
-32
lines changed

9 files changed

+564
-32
lines changed

DIRECTORY.md

Lines changed: 7 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -10,6 +10,7 @@
1010
* [AllPathsFromSourceToTarget](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/AllPathsFromSourceToTarget.java)
1111
* [ArrayCombination](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/ArrayCombination.java)
1212
* [Combination](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/Combination.java)
13+
* [CrosswordSolver](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/CrosswordSolver.java)
1314
* [FloodFill](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/FloodFill.java)
1415
* [KnightsTour](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/KnightsTour.java)
1516
* [MazeRecursion](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/MazeRecursion.java)
@@ -19,6 +20,7 @@
1920
* [Permutation](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/Permutation.java)
2021
* [PowerSum](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/PowerSum.java)
2122
* [SubsequenceFinder](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/SubsequenceFinder.java)
23+
* [WordPatternMatcher](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/WordPatternMatcher.java)
2224
* [WordSearch](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/WordSearch.java)
2325
* bitmanipulation
2426
* [BitSwap](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/BitSwap.java)
@@ -569,6 +571,7 @@
569571
* [PrefixToInfix](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/stacks/PrefixToInfix.java)
570572
* [SortStack](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/stacks/SortStack.java)
571573
* [StackPostfixNotation](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/stacks/StackPostfixNotation.java)
574+
* [StackUsingTwoQueues](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/stacks/StackUsingTwoQueues.java)
572575
* strings
573576
* [AhoCorasick](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/strings/AhoCorasick.java)
574577
* [Alphabetical](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/strings/Alphabetical.java)
@@ -614,6 +617,7 @@
614617
* [AllPathsFromSourceToTargetTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/AllPathsFromSourceToTargetTest.java)
615618
* [ArrayCombinationTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/ArrayCombinationTest.java)
616619
* [CombinationTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/CombinationTest.java)
620+
* [CrosswordSolverTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/CrosswordSolverTest.java)
617621
* [FloodFillTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/FloodFillTest.java)
618622
* [KnightsTourTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/KnightsTourTest.java)
619623
* [MazeRecursionTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/MazeRecursionTest.java)
@@ -623,6 +627,7 @@
623627
* [PermutationTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/PermutationTest.java)
624628
* [PowerSumTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/PowerSumTest.java)
625629
* [SubsequenceFinderTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/SubsequenceFinderTest.java)
630+
* [WordPatternMatcherTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/WordPatternMatcherTest.java)
626631
* [WordSearchTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/WordSearchTest.java)
627632
* bitmanipulation
628633
* [BitSwapTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/BitSwapTest.java)
@@ -704,6 +709,7 @@
704709
* [BoruvkaAlgorithmTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/datastructures/graphs/BoruvkaAlgorithmTest.java)
705710
* [DijkstraAlgorithmTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/datastructures/graphs/DijkstraAlgorithmTest.java)
706711
* [EdmondsBlossomAlgorithmTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/datastructures/graphs/EdmondsBlossomAlgorithmTest.java)
712+
* [FloydWarshallTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/datastructures/graphs/FloydWarshallTest.java)
707713
* [FordFulkersonTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/datastructures/graphs/FordFulkersonTest.java)
708714
* [HamiltonianCycleTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/datastructures/graphs/HamiltonianCycleTest.java)
709715
* [KosarajuTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/datastructures/graphs/KosarajuTest.java)
@@ -1032,6 +1038,7 @@
10321038
* [PrefixToInfixTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/stacks/PrefixToInfixTest.java)
10331039
* [SortStackTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/stacks/SortStackTest.java)
10341040
* [StackPostfixNotationTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/stacks/StackPostfixNotationTest.java)
1041+
* [StackUsingTwoQueuesTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/stacks/StackUsingTwoQueuesTest.java)
10351042
* strings
10361043
* [AhoCorasickTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/strings/AhoCorasickTest.java)
10371044
* [AlphabeticalTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/strings/AlphabeticalTest.java)
Lines changed: 124 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,124 @@
1+
package com.thealgorithms.backtracking;
2+
3+
import java.util.ArrayList;
4+
import java.util.List;
5+
6+
/**
7+
* A class to solve a crossword puzzle using backtracking.
8+
* Example:
9+
* Input:
10+
* puzzle = {
11+
* {' ', ' ', ' '},
12+
* {' ', ' ', ' '},
13+
* {' ', ' ', ' '}
14+
* }
15+
* words = List.of("cat", "dog")
16+
*
17+
* Output:
18+
* {
19+
* {'c', 'a', 't'},
20+
* {' ', ' ', ' '},
21+
* {'d', 'o', 'g'}
22+
* }
23+
*/
24+
public final class CrosswordSolver {
25+
private CrosswordSolver() {
26+
}
27+
28+
/**
29+
* Checks if a word can be placed at the specified position in the crossword.
30+
*
31+
* @param puzzle The crossword puzzle represented as a 2D char array.
32+
* @param word The word to be placed.
33+
* @param row The row index where the word might be placed.
34+
* @param col The column index where the word might be placed.
35+
* @param vertical If true, the word is placed vertically; otherwise, horizontally.
36+
* @return true if the word can be placed, false otherwise.
37+
*/
38+
public static boolean isValid(char[][] puzzle, String word, int row, int col, boolean vertical) {
39+
for (int i = 0; i < word.length(); i++) {
40+
if (vertical) {
41+
if (row + i >= puzzle.length || puzzle[row + i][col] != ' ') {
42+
return false;
43+
}
44+
} else {
45+
if (col + i >= puzzle[0].length || puzzle[row][col + i] != ' ') {
46+
return false;
47+
}
48+
}
49+
}
50+
return true;
51+
}
52+
53+
/**
54+
* Places a word at the specified position in the crossword.
55+
*
56+
* @param puzzle The crossword puzzle represented as a 2D char array.
57+
* @param word The word to be placed.
58+
* @param row The row index where the word will be placed.
59+
* @param col The column index where the word will be placed.
60+
* @param vertical If true, the word is placed vertically; otherwise, horizontally.
61+
*/
62+
public static void placeWord(char[][] puzzle, String word, int row, int col, boolean vertical) {
63+
for (int i = 0; i < word.length(); i++) {
64+
if (vertical) {
65+
puzzle[row + i][col] = word.charAt(i);
66+
} else {
67+
puzzle[row][col + i] = word.charAt(i);
68+
}
69+
}
70+
}
71+
72+
/**
73+
* Removes a word from the specified position in the crossword.
74+
*
75+
* @param puzzle The crossword puzzle represented as a 2D char array.
76+
* @param word The word to be removed.
77+
* @param row The row index where the word is placed.
78+
* @param col The column index where the word is placed.
79+
* @param vertical If true, the word was placed vertically; otherwise, horizontally.
80+
*/
81+
public static void removeWord(char[][] puzzle, String word, int row, int col, boolean vertical) {
82+
for (int i = 0; i < word.length(); i++) {
83+
if (vertical) {
84+
puzzle[row + i][col] = ' ';
85+
} else {
86+
puzzle[row][col + i] = ' ';
87+
}
88+
}
89+
}
90+
91+
/**
92+
* Solves the crossword puzzle using backtracking.
93+
*
94+
* @param puzzle The crossword puzzle represented as a 2D char array.
95+
* @param words The list of words to be placed.
96+
* @return true if the crossword is solved, false otherwise.
97+
*/
98+
public static boolean solveCrossword(char[][] puzzle, List<String> words) {
99+
// Create a mutable copy of the words list
100+
List<String> remainingWords = new ArrayList<>(words);
101+
102+
for (int row = 0; row < puzzle.length; row++) {
103+
for (int col = 0; col < puzzle[0].length; col++) {
104+
if (puzzle[row][col] == ' ') {
105+
for (String word : new ArrayList<>(remainingWords)) {
106+
for (boolean vertical : new boolean[] {true, false}) {
107+
if (isValid(puzzle, word, row, col, vertical)) {
108+
placeWord(puzzle, word, row, col, vertical);
109+
remainingWords.remove(word);
110+
if (solveCrossword(puzzle, remainingWords)) {
111+
return true;
112+
}
113+
remainingWords.add(word);
114+
removeWord(puzzle, word, row, col, vertical);
115+
}
116+
}
117+
}
118+
return false;
119+
}
120+
}
121+
}
122+
return true;
123+
}
124+
}
Lines changed: 86 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,86 @@
1+
package com.thealgorithms.backtracking;
2+
3+
import java.util.HashMap;
4+
import java.util.Map;
5+
6+
/**
7+
* Class to determine if a pattern matches a string using backtracking.
8+
*
9+
* Example:
10+
* Pattern: "abab"
11+
* Input String: "JavaPythonJavaPython"
12+
* Output: true
13+
*
14+
* Pattern: "aaaa"
15+
* Input String: "JavaJavaJavaJava"
16+
* Output: true
17+
*
18+
* Pattern: "aabb"
19+
* Input String: "JavaPythonPythonJava"
20+
* Output: false
21+
*/
22+
public final class WordPatternMatcher {
23+
private WordPatternMatcher() {
24+
}
25+
26+
/**
27+
* Determines if the given pattern matches the input string using backtracking.
28+
*
29+
* @param pattern The pattern to match.
30+
* @param inputString The string to match against the pattern.
31+
* @return True if the pattern matches the string, False otherwise.
32+
*/
33+
public static boolean matchWordPattern(String pattern, String inputString) {
34+
Map<Character, String> patternMap = new HashMap<>();
35+
Map<String, Character> strMap = new HashMap<>();
36+
return backtrack(pattern, inputString, 0, 0, patternMap, strMap);
37+
}
38+
39+
/**
40+
* Backtracking helper function to check if the pattern matches the string.
41+
*
42+
* @param pattern The pattern string.
43+
* @param inputString The string to match against the pattern.
44+
* @param patternIndex Current index in the pattern.
45+
* @param strIndex Current index in the input string.
46+
* @param patternMap Map to store pattern characters to string mappings.
47+
* @param strMap Map to store string to pattern character mappings.
48+
* @return True if the pattern matches, False otherwise.
49+
*/
50+
private static boolean backtrack(String pattern, String inputString, int patternIndex, int strIndex, Map<Character, String> patternMap, Map<String, Character> strMap) {
51+
if (patternIndex == pattern.length() && strIndex == inputString.length()) {
52+
return true;
53+
}
54+
if (patternIndex == pattern.length() || strIndex == inputString.length()) {
55+
return false;
56+
}
57+
58+
char currentChar = pattern.charAt(patternIndex);
59+
if (patternMap.containsKey(currentChar)) {
60+
String mappedStr = patternMap.get(currentChar);
61+
if (inputString.startsWith(mappedStr, strIndex)) {
62+
return backtrack(pattern, inputString, patternIndex + 1, strIndex + mappedStr.length(), patternMap, strMap);
63+
} else {
64+
return false;
65+
}
66+
}
67+
68+
for (int end = strIndex + 1; end <= inputString.length(); end++) {
69+
String substring = inputString.substring(strIndex, end);
70+
if (strMap.containsKey(substring)) {
71+
continue;
72+
}
73+
74+
patternMap.put(currentChar, substring);
75+
strMap.put(substring, currentChar);
76+
if (backtrack(pattern, inputString, patternIndex + 1, end, patternMap, strMap)) {
77+
return true;
78+
}
79+
80+
patternMap.remove(currentChar);
81+
strMap.remove(substring);
82+
}
83+
84+
return false;
85+
}
86+
}

0 commit comments

Comments
 (0)