Merge pull request #11 from Subham1999/back_tracking

Back tracking

Author: Subham1999

.githooks/pre-commit

@@ -0,0 +1,10 @@
+#!/bin/sh
+
+# Run 'mvn clean install' and check if it succeeds
+echo "Running 'mvn clean install'..."
+if mvn clean install; then
+    echo "Build successful, proceeding with commit."
+else
+    echo "Build failed. Aborting commit."
+    exit 1
+fi

.idea/workspace.xml

@@ -0,0 +1,66 @@
+package com.thealgorithm.graph;
+
+import java.util.HashSet;
+import java.util.Map;
+import java.util.Set;
+
+/**
+ * @author: Subham Santra
+ */
+public class ConnectedComponentOnUndirectedGraph {
+  public static void main(String[] args) {
+    // TEST 1
+    {
+      GraphCreator graphCreator =
+          GraphCreator.getUndirected(7)
+              .addEdge(1, 2, 1)
+              .addEdge(2, 3, 1)
+              .addEdge(3, 4, 1)
+              .addEdge(5, 6, 1);
+
+      System.out.println(
+          countOfConnectedComponents(graphCreator.getAdjacencyList(), graphCreator.getVertices()));
+    }
+
+    // TEST 2
+    {
+      GraphCreator graphCreator =
+        GraphCreator.getUndirected(7);
+      System.out.println(
+        countOfConnectedComponents(graphCreator.getAdjacencyList(), graphCreator.getVertices()));
+    }
+
+    // TEST 3
+    {
+      GraphCreator graphCreator =
+        GraphCreator.getUndirected(3)
+          .addEdge(1, 2)
+          .addEdge(2, 0)
+          .addEdge(1, 0);
+      System.out.println(
+        countOfConnectedComponents(graphCreator.getAdjacencyList(), graphCreator.getVertices()));
+    }
+  }
+
+  public static int countOfConnectedComponents(
+      Map<Integer, Set<Integer>> adjacencyList, Set<Vertex<Integer, Integer>> vertexSet) {
+    int count = 0;
+    Set<Integer> visited = new HashSet<>();
+    for (Vertex<Integer, Integer> vertex : vertexSet) {
+      if (!visited.contains(vertex.getKey())) {
+        count++;
+        DFS(adjacencyList, vertex.getKey(), visited);
+      }
+    }
+    return count;
+  }
+
+  private static void DFS(
+      Map<Integer, Set<Integer>> adjacencyList, int vertex, Set<Integer> visited) {
+    if (visited.contains(vertex)) return;
+    visited.add(vertex);
+    for (int child : adjacencyList.get(vertex)) {
+      DFS(adjacencyList, child, visited);
+    }
+  }
+}

data-structures/src/main/java/com/thealgorithm/graph/ConnectedComponentOnUndirectedGraph.java

@@ -0,0 +1,78 @@
+package com.thealgorithm.graph;
+
+import static java.util.AbstractMap.*;
+
+import java.util.*;
+
+public class DijkstraAlgorithm {
+  public static class InvalidWeightException extends Exception {
+    private String msg;
+
+    public InvalidWeightException(String msg) {
+      super(msg);
+      this.msg = msg;
+    }
+  }
+
+  void dijkstra(int[][] graph, int n, int source) throws InvalidWeightException {
+    int[] dist = new int[n];
+    Arrays.fill(dist, Integer.MAX_VALUE);
+    dist[source] = 0;
+
+    Set<Integer> shortestPathFound = new HashSet<>();
+    PriorityQueue<Entry<Integer, Integer>> priorityQueue =
+        new PriorityQueue<>(Comparator.comparingInt(Entry::getValue));
+
+    priorityQueue.offer(new SimpleEntry<>(source, 0));
+    shortestPathFound.add(source);
+
+    while (!priorityQueue.isEmpty()) {
+      Entry<Integer, Integer> shortedstEntry = priorityQueue.poll();
+      int node = shortedstEntry.getKey();
+      int cost = shortedstEntry.getValue();
+
+      for (int i = 0; i < n; ++i) {
+        if (graph[node][i] < 0) {
+          throw new InvalidWeightException("Invalid data");
+        }
+        if (node != i && graph[node][i] != 0) {
+          if (dist[i] > cost + graph[node][i]) {
+            dist[i] = cost + graph[node][i];
+            int finalI = i;
+            priorityQueue.removeIf(e -> e.getKey() == finalI);
+            priorityQueue.offer(new SimpleEntry<>(i, dist[i]));
+          }
+        }
+      }
+      shortestPathFound.add(node);
+      if (shortestPathFound.size() == n) break;
+    }
+
+    System.out.println(Arrays.toString(dist));
+  }
+
+  public static void main(String[] args) throws InvalidWeightException {
+
+    GraphCreator graphCreator =
+        GraphCreator.getUndirected(9)
+            .addEdge(0, 1, 4)
+            .addEdge(0, 7, 8)
+            .addEdge(1, 7, 11)
+            .addEdge(1, 2, 8)
+            .addEdge(2, 8, 2)
+            .addEdge(8, 6, 6)
+            .addEdge(8, 6, 6)
+            .addEdge(7, 6, 1)
+            .addEdge(7, 8, 7)
+            .addEdge(6, 5, 2)
+            .addEdge(2, 5, 4)
+            .addEdge(2, 3, 7)
+            .addEdge(5, 3, 14)
+            .addEdge(5, 4, 10)
+            .addEdge(3, 4, 9);
+
+    new DijkstraAlgorithm().dijkstra(graphCreator.getAdjacencyMatrix(), graphCreator.getSize(), 0);
+    new DijkstraAlgorithm().dijkstra(graphCreator.getAdjacencyMatrix(), graphCreator.getSize(), 8);
+    new DijkstraAlgorithm().dijkstra(graphCreator.getAdjacencyMatrix(), graphCreator.getSize(), 6);
+  }
+}

data-structures/src/main/java/com/thealgorithm/graph/DijkstraAlgorithm.java

@@ -0,0 +1,62 @@
+package com.thealgorithm.graph;
+
+import java.util.HashMap;
+import java.util.HashSet;
+import java.util.Map;
+import java.util.Set;
+import lombok.Value;
+
+@Value
+public class GraphCreator {
+  int size;
+  int[][] adjacencyMatrix;
+  Map<Integer, Set<Integer>> adjacencyList;
+  Set<Vertex<Integer, Integer>> vertices;
+  Set<Edge<Integer, Integer>> edgeSet;
+  boolean undirected;
+
+  private GraphCreator(int size, boolean undirected) {
+    this.size = size;
+    this.adjacencyMatrix = new int[size][size];
+    this.undirected = undirected;
+    this.adjacencyList = new HashMap<>();
+    this.vertices = new HashSet<>();
+    this.edgeSet = new HashSet<>();
+    for (int i = 0; i < size; ++i) {
+      vertices.add(Vertex.create(i));
+    }
+    for (int i = 0; i < size; ++i) {
+      adjacencyList.put(i, new HashSet<>());
+    }
+  }
+
+  public static GraphCreator getUndirected(int n) {
+    return new GraphCreator(n, true);
+  }
+
+  public static GraphCreator getDirected(int n) {
+    return new GraphCreator(n, false);
+  }
+
+  public GraphCreator addEdge(int u, int v) {
+    return addEdge(u, v, 1);
+  }
+
+  public GraphCreator addEdge(int u, int v, int w) {
+    addEdge0(u, v, w);
+    if (undirected) {
+      addEdge0(v, u, w);
+    }
+    return this;
+  }
+
+  private void addEdge0(int u, int v, int w) {
+    edgeSet.add(Edge.createEdge(u, v, w));
+    addToAdjacencyList(u, v);
+    adjacencyMatrix[u][v] = w;
+  }
+
+  private void addToAdjacencyList(int u, int v) {
+    adjacencyList.get(u).add(v);
+  }
+}

data-structures/src/main/java/com/thealgorithm/graph/GraphCreator.java

@@ -0,0 +1,37 @@
+package com.thealgorithm.heap;
+
+import java.io.IOException;
+import java.util.Arrays;
+import java.util.List;
+import java.util.Map;
+import java.util.function.Function;
+import java.util.stream.Collectors;
+
+/**
+ * @author: Subham Santra
+ */
+public class TopKFrequentWords {
+  public List<String> topKFrequent(String[] words, int k) {
+    return Arrays.stream(words)
+        .collect(Collectors.toMap(Function.identity(), s -> 1, Integer::sum))
+        .entrySet()
+        .stream()
+        .sorted(
+            (kv1, kv2) -> {
+              int diff = kv1.getValue() - kv2.getValue();
+              if (diff == 0) {
+                return kv1.getKey().compareTo(kv2.getKey());
+              }
+              return -diff;
+            })
+        .limit(k)
+        .map(Map.Entry::getKey)
+        .collect(Collectors.toList());
+  }
+
+  public static void main(String[] args) throws IOException {
+    //    System.out.println(
+    //        new TopKFrequentWords()
+    //            .topKFrequent(new String[] {"i", "love", "leetcode", "i", "love", "coding"}, 2));
+  }
+}

data-structures/src/main/java/com/thealgorithm/heap/TopKFrequentWords.java

@@ -0,0 +1,21 @@
+package com.thealgorithm.linkedlist;
+
+/**
+ * @author: Subham Santra
+ */
+public class DoublyLinkedList {
+  DoublyLinkedListNode head;
+  DoublyLinkedListNode tail;
+
+  public void addLast(int data) {
+    if (isEmpty()) {
+      head = tail = new DoublyLinkedListNode(data, null, null);
+    } else {
+      tail.next = new DoublyLinkedListNode(data, null, null);
+    }
+  }
+
+  private boolean isEmpty() {
+    return head == null && tail == null;
+  }
+}

data-structures/src/main/java/com/thealgorithm/linkedlist/DoublyLinkedList.java

@@ -0,0 +1,13 @@
+package com.thealgorithm.linkedlist;
+
+/**
+ * @author: Subham Santra
+ */
+public class DoublyLinkedListNode extends LinkedListNode {
+  DoublyLinkedListNode previous;
+
+  public DoublyLinkedListNode(int data, LinkedListNode next, DoublyLinkedListNode previous) {
+    super(data, next);
+    this.previous = previous;
+  }
+}

data-structures/src/main/java/com/thealgorithm/linkedlist/DoublyLinkedListNode.java

@@ -0,0 +1,12 @@
+package com.thealgorithm.linkedlist;
+
+import lombok.AllArgsConstructor;
+
+/**
+ * @author: Subham Santra
+ */
+@AllArgsConstructor
+public class LinkedListNode {
+  int data;
+  LinkedListNode next;
+}

data-structures/src/main/java/com/thealgorithm/linkedlist/LinkedListNode.java

@@ -0,0 +1,80 @@
+package com.thealgorithm.strings;
+
+/**
+ * @author: Subham Santra
+ */
+public class LongestChunkedPalindromeDecomposition {
+  static class Solution {
+    private final long p = 31;
+    private final long mod = (int) 1e9 + 7;
+    private final long[] p_pow = new long[1001];
+
+    public Solution() {
+      p_pow[0] = 1;
+      for (int i = 1; i <= 1000; ++i) {
+        p_pow[i] = p_pow[i - 1] * p;
+        p_pow[i] = (p_pow[i] + mod) % mod;
+      }
+    }
+
+    void rollingHash(long[] rh, String txt) {
+      for (int i = 0; i < txt.length(); ++i) {
+        int c = txt.charAt(i) - 'a' + 1;
+        rh[i + 1] = ((rh[i] * 31) % mod + c + mod) % mod;
+      }
+    }
+
+    long hash(long[] RH, int i, int j) {
+      return ((RH[j + 1] - RH[i] * p_pow[j - i + 1]) % mod + mod) % mod;
+    }
+
+    public int longestDecomposition(String text) {
+      int[][] DP = new int[text.length()][text.length()];
+      long[] RH = new long[text.length() + 1];
+      for (int i = 0; i < text.length(); ++i) {
+        for (int j = 0; j < text.length(); ++j) {
+          DP[i][j] = -1;
+        }
+      }
+      rollingHash(RH, text);
+      // System.out.println(Arrays.toString(RH));
+      return decompose(text, 0, text.length() - 1, DP, RH);
+    }
+
+    int decompose(String text, int lo, int hi, int[][] DP, long[] RH) {
+      if (lo == hi + 1) return 0;
+      if (lo > hi) return -1;
+
+      if (DP[lo][hi] != -1) return DP[lo][hi];
+
+      int ans = 1;
+
+      for (int len = 1; len <= (hi - lo + 1) / 2; ++len) {
+        long h1 = hash(RH, lo, lo + len - 1);
+        long h2 = hash(RH, hi - len + 1, hi);
+
+        //        System.out.printf(
+        //            "%s %d %s %d\n",
+        //            text.substring(lo, lo + len), h1, text.substring(hi - len + 1, hi + 1), h2);
+
+        if (h1 == h2) {
+          int a = decompose(text, lo + len, hi - len, DP, RH);
+          if (a > -1) ans = Math.max(a + 2, ans);
+        }
+      }
+
+      return DP[lo][hi] = ans;
+    }
+  }
+
+  public static void main(String[] args) {
+    System.out.println(new Solution().longestDecomposition("ghiabcdefhelloadamhelloabcdefghi"));
+    System.out.println(
+        new Solution().longestDecomposition("wuamlwxskgjzegshjhcwchkgjzegshjwuamlwxs"));
+    System.out.println(new Solution().longestDecomposition("antaprezatepzapreanta"));
+    System.out.println(new Solution().longestDecomposition("aabaab"));
+    System.out.println(new Solution().longestDecomposition("aabaabaab"));
+    System.out.println(new Solution().longestDecomposition("aabaabaabaab"));
+    System.out.println(new Solution().longestDecomposition("aabaabaabaabc"));
+  }
+}