export default class Graph {
  /**
   * @param {boolean} isDirected
   */
  constructor(isDirected = false) {
    this.vertices = {};
    this.edges = {};
    this.isDirected = isDirected;
  }

  /**
   * @param {GraphVertex} newVertex
   * @returns {Graph}
   */
  addVertex(newVertex) {
    this.vertices[newVertex.getKey()] = newVertex;

    return this;
  }

  /**
   * @param {string} vertexKey
   * @returns GraphVertex
   */
  getVertexByKey(vertexKey) {
    return this.vertices[vertexKey];
  }

  /**
   * @param {GraphVertex} vertex
   * @returns {GraphVertex[]}
   */
  getNeighbors(vertex) {
    return vertex.getNeighbors();
  }

  /**
   * @return {GraphVertex[]}
   */
  getAllVertices() {
    return Object.values(this.vertices);
  }

  /**
   * @return {GraphEdge[]}
   */
  getAllEdges() {
    return Object.values(this.edges);
  }

  /**
   * @param {GraphEdge} edge
   * @returns {Graph}
   */
  addEdge(edge) {
    // Try to find and end start vertices.
    let startVertex = this.getVertexByKey(edge.startVertex.getKey());
    let endVertex = this.getVertexByKey(edge.endVertex.getKey());

    // Insert start vertex if it wasn't inserted.
    if (!startVertex) {
      this.addVertex(edge.startVertex);
      startVertex = this.getVertexByKey(edge.startVertex.getKey());
    }

    // Insert end vertex if it wasn't inserted.
    if (!endVertex) {
      this.addVertex(edge.endVertex);
      endVertex = this.getVertexByKey(edge.endVertex.getKey());
    }

    // Check if edge has been already added.
    if (this.edges[edge.getKey()]) {
      throw new Error('Edge has already been added before');
    } else {
      this.edges[edge.getKey()] = edge;
    }

    // Add edge to the vertices.
    if (this.isDirected) {
      // If graph IS directed then add the edge only to start vertex.
      startVertex.addEdge(edge);
    } else {
      // If graph ISN'T directed then add the edge to both vertices.
      startVertex.addEdge(edge);
      endVertex.addEdge(edge);
    }

    return this;
  }

  /**
   * @param {GraphEdge} edge
   */
  deleteEdge(edge) {
    // Delete edge from the list of edges.
    if (this.edges[edge.getKey()]) {
      delete this.edges[edge.getKey()];
    } else {
      throw new Error('Edge not found in graph');
    }

    // Try to find and end start vertices and delete edge from them.
    const startVertex = this.getVertexByKey(edge.startVertex.getKey());
    const endVertex = this.getVertexByKey(edge.endVertex.getKey());

    startVertex.deleteEdge(edge);
    endVertex.deleteEdge(edge);
  }

  /**
   * @param {GraphVertex} startVertex
   * @param {GraphVertex} endVertex
   * @return {(GraphEdge|null)}
   */
  findEdge(startVertex, endVertex) {
    const vertex = this.getVertexByKey(startVertex.getKey());

    if (!vertex) {
      return null;
    }

    return vertex.findEdge(endVertex);
  }

  /**
   * @return {number}
   */
  getWeight() {
    return this.getAllEdges().reduce((weight, graphEdge) => {
      return weight + graphEdge.weight;
    }, 0);
  }

  /**
   * Reverse all the edges in directed graph.
   * @return {Graph}
   */
  reverse() {
    /** @param {GraphEdge} edge */
    this.getAllEdges().forEach((edge) => {
      // Delete straight edge from graph and from vertices.
      this.deleteEdge(edge);

      // Reverse the edge.
      edge.reverse();

      // Add reversed edge back to the graph and its vertices.
      this.addEdge(edge);
    });

    return this;
  }

  /**
   * @return {object}
   */
  getVerticesIndices() {
    const verticesIndices = {};
    this.getAllVertices().forEach((vertex, index) => {
      verticesIndices[vertex.getKey()] = index;
    });

    return verticesIndices;
  }

  /**
   * @return {*[][]}
   */
  getAdjacencyMatrix() {
    const vertices = this.getAllVertices();
    const verticesIndices = this.getVerticesIndices();

    // Init matrix with infinities meaning that there is no ways of
    // getting from one vertex to another yet.
    const adjacencyMatrix = Array(vertices.length).fill(null).map(() => {
      return Array(vertices.length).fill(Infinity);
    });

    // Fill the columns.
    vertices.forEach((vertex, vertexIndex) => {
      vertex.getNeighbors().forEach((neighbor) => {
        const neighborIndex = verticesIndices[neighbor.getKey()];
        adjacencyMatrix[vertexIndex][neighborIndex] = this.findEdge(vertex, neighbor).weight;
      });
    });

    return adjacencyMatrix;
  }

  /**
   * @return {string}
   */
  toString() {
    return Object.keys(this.vertices).toString();
  }
}

import DisjointSetItem from './DisjointSetItem';

export default class DisjointSet {
  /**
   * @param {function(value: *)} [keyCallback]
   */
  constructor(keyCallback) {
    this.keyCallback = keyCallback;
    this.items = {};
  }

  /**
   * @param {*} itemValue
   * @return {DisjointSet}
   */
  makeSet(itemValue) {
    const disjointSetItem = new DisjointSetItem(itemValue, this.keyCallback);

    if (!this.items[disjointSetItem.getKey()]) {
      // Add new item only in case if it not presented yet.
      this.items[disjointSetItem.getKey()] = disjointSetItem;
    }

    return this;
  }

  /**
   * Find set representation node.
   *
   * @param {*} itemValue
   * @return {(string|null)}
   */
  find(itemValue) {
    const templateDisjointItem = new DisjointSetItem(itemValue, this.keyCallback);

    // Try to find item itself;
    const requiredDisjointItem = this.items[templateDisjointItem.getKey()];

    if (!requiredDisjointItem) {
      return null;
    }

    return requiredDisjointItem.getRoot().getKey();
  }

  /**
   * Union by rank.
   *
   * @param {*} valueA
   * @param {*} valueB
   * @return {DisjointSet}
   */
  union(valueA, valueB) {
    const rootKeyA = this.find(valueA);
    const rootKeyB = this.find(valueB);

    if (rootKeyA === null || rootKeyB === null) {
      throw new Error('One or two values are not in sets');
    }

    if (rootKeyA === rootKeyB) {
      // In case if both elements are already in the same set then just return its key.
      return this;
    }

    const rootA = this.items[rootKeyA];
    const rootB = this.items[rootKeyB];

    if (rootA.getRank() < rootB.getRank()) {
      // If rootB's tree is bigger then make rootB to be a new root.
      rootB.addChild(rootA);

      return this;
    }

    // If rootA's tree is bigger then make rootA to be a new root.
    rootA.addChild(rootB);

    return this;
  }

  /**
   * @param {*} valueA
   * @param {*} valueB
   * @return {boolean}
   */
  inSameSet(valueA, valueB) {
    const rootKeyA = this.find(valueA);
    const rootKeyB = this.find(valueB);

    if (rootKeyA === null || rootKeyB === null) {
      throw new Error('One or two values are not in sets');
    }

    return rootKeyA === rootKeyB;
  }
}