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fix: merge conflict
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@ -10,8 +10,11 @@
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* 1. Depth first search
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* 1. Depth first search
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* 2. Disjoint union
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* 2. Disjoint union
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* 1st option is inefficient, Disjoint union is the most optimal way to find this.
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* 1st option is inefficient, Disjoint union is the most optimal way to find this.
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*
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* @author Unknown author
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* @author [Sagar Pandya](https://github.com/sagarpandyansit)
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*/
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*/
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#include <iostream> /// for io operations
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#include <iostream> /// for IO operations
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#include <set> /// for std::set
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#include <set> /// for std::set
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#include <vector> /// for std::vector
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#include <vector> /// for std::vector
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@ -20,28 +23,26 @@
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* @brief Graph Algorithms
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* @brief Graph Algorithms
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*/
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*/
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namespace graph {
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namespace graph {
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/**
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/**
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* @namespace disjoint_union
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* @namespace disjoint_union
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* @brief Function for [Disjoint union] (https://en.wikipedia.org/wiki/Disjoint_union) implementation
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* @brief Functions for [Disjoint union](https://en.wikipedia.org/wiki/Disjoint_union) implementation
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*/
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*/
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namespace disjoint_union {
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namespace disjoint_union {
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uint32_t number_of_nodes = 0; // denotes number of nodes
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int64_t number_of_nodes; // denotes number of nodes
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std::vector<int64_t> parent{}; // parent of each node
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std::vector<int64_t> parent; // parent of each node
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std::vector<uint32_t> connected_set_size{}; // size of each set
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std::vector<int64_t> connected_set_size; // size of each set
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/**
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/**
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* @brief function the initialize every node as it's own parent
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* @brief function the initialize every node as it's own parent
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* @returns void
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* @returns void
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*/
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*/
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void make_set() {
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void make_set() {
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for (int64_t i = 1; i <= number_of_nodes; i++) {
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for (uint32_t i = 1; i <= number_of_nodes; i++) {
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parent[i] = i;
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parent[i] = i;
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connected_set_size[i] = 1;
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connected_set_size[i] = 1;
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}
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}
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}
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}
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/**
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/**
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* @brief To find the component where following node belongs to
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* @brief Find the component where following node belongs to
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* @param val parent of val should be found
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* @param val parent of val should be found
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* @return parent of val
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* @return parent of val
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*/
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*/
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@ -53,7 +54,7 @@ int64_t find_set(int64_t val) {
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return val;
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return val;
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}
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}
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/**
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/**
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* @brief To join 2 components to belong to one
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* @brief Merge 2 components to become one
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* @param node1 1st component
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* @param node1 1st component
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* @param node2 2nd component
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* @param node2 2nd component
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* @returns void
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* @returns void
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@ -73,40 +74,42 @@ void union_sets(int64_t node1, int64_t node2) {
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}
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}
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}
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}
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/**
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/**
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* @brief To find total no of connected components
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* @brief Find total no. of connected components
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* @return Number of connected components
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* @return Number of connected components
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*/
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*/
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int64_t no_of_connected_components() {
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uint32_t no_of_connected_components() {
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std::set<int64_t> temp; // temp set to count number of connected components
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std::set<int64_t> temp; // temp set to count number of connected components
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for (int64_t i = 1; i <= number_of_nodes; i++) temp.insert(find_set(i));
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for (uint32_t i = 1; i <= number_of_nodes; i++) temp.insert(find_set(i));
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return temp.size(); // return the size of temp set
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return temp.size(); // return the size of temp set
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}
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}
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} // namespace disjoint_union
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} // namespace graph
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/**
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/**
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* @brief Test Implementations
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* @brief Test Implementations
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* @returns void
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* @returns void
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*/
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*/
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static void test() {
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static void test() {
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std::cin >> number_of_nodes;
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namespace dsu = graph::disjoint_union;
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parent.resize(number_of_nodes + 1);
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std::cin >> dsu::number_of_nodes;
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connected_set_size.resize(number_of_nodes + 1);
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dsu::parent.resize(dsu::number_of_nodes + 1);
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make_set();
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dsu::connected_set_size.resize(dsu::number_of_nodes + 1);
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int64_t edges = 0;
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dsu::make_set();
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uint32_t edges = 0;
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std::cin >> edges; // no of edges in the graph
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std::cin >> edges; // no of edges in the graph
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while (edges--) {
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while (edges--) {
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int64_t node_a = 0, node_b = 0;
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int64_t node_a = 0, node_b = 0;
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std::cin >> node_a >> node_b;
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std::cin >> node_a >> node_b;
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union_sets(node_a, node_b);
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dsu::union_sets(node_a, node_b);
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}
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}
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std::cout << no_of_connected_components() << std::endl;
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std::cout << dsu::no_of_connected_components() << std::endl;
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}
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}
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} // namespace disjoint_union
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} // namespace graph
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/**
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/**
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* @brief Main function
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* @brief Main function
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* @returns 0 on exit
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* @returns 0 on exit
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*/
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*/
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int main() {
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int main() {
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graph::disjoint_union::test(); // Execute the tests
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test(); // Execute the tests
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return 0;
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return 0;
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}
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}
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