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code/graph_algorithms/src/floyd_warshall_algorithm/floyd_warshall_algorithm.py
""" Part of Cosmos by OpenGenus Foundation """ INF = 1000000000 def floyd_warshall(vertex, adjacency_matrix): # calculating all pair shortest path for k in range(0, vertex): for i in range(0, vertex): for j in range(0, vertex): # relax the distance from i to j by allowin...
code/graph_algorithms/src/ford_fulkerson_maximum_flow/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/ford_fulkerson_maximum_flow/ford_fulkerson_maximum_flow.cpp
/* Part of Cosmos by OpenGenus Foundation */ #include <iostream> #include <string.h> using namespace std; #define N 7 #define INF 9999999 // flow network int Flow[N][N]; // visited array bool visited[N]; // original flow network graph shown in the above example //0 1 2 3 4 5 6 int graph[N][N] = { { 0, 5, 4...
code/graph_algorithms/src/ford_fulkerson_maximum_flow/ford_fulkerson_maximum_flow_using_bfs.cpp
#include <iostream> // Part of Cosmos by OpenGenus Foundation // #include <limits.h> #include <string.h> #include <queue> using namespace std; #define V 6 /* Returns true if there is a path from source 's' to sink 't' in * residual graph. Also fills parent[] to store the path */ bool bfs(int rGraph[V][V], int s, i...
code/graph_algorithms/src/ford_fulkerson_maximum_flow/ford_fulkerson_maximum_flow_using_bfs.java
// Part of Cosmos by OpenGenus Foundation import java.util.LinkedList; import java.lang.Exception; class FordFulkersonUsingBfs { static final int V = 6; boolean bfs(int rGraph[][], int s, int t, int parent[]) { /* * Create a visited array and mark all vertices as not * visited */...
code/graph_algorithms/src/ford_fulkerson_maximum_flow/ford_fulkerson_maximum_flow_using_bfs.py
""" Part of Cosmos by OpenGenus Foundation """ from collections import defaultdict # This class represents a directed graph using adjacency matrix representation class Graph: def __init__(self, graph): self.graph = graph # residual graph self.ROW = len(graph) # self.COL = len(gr[0]) ...
code/graph_algorithms/src/graph_coloring/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/graph_coloring/graph_coloring.cpp
#include <iostream> #include <list> using namespace std; // A class that represents an undirected graph class Graph { int V; // No. of vertices list<int> *adj; // A dynamic array of adjacency lists public: // Constructor and destructor Graph(int V) { this->V = V; adj = new list<int>[V]; ...
code/graph_algorithms/src/graph_coloring/graph_coloring.java
import java.util.*; public class Coloring { int minColors; int[] bestColoring; public int minColors(boolean[][] graph) { int n = graph.length; bestColoring = new int[n]; int[] id = new int[n + 1]; int[] deg = new int[n + 1]; for (int i = 0; i <= n; i++) id[i] = i; bestColoring = new int[n]; int r...
code/graph_algorithms/src/graph_coloring/graph_coloring_greedy.py
from collections import defaultdict class Graph: def __init__(self, V, directed=False): self.V = V self.directed = directed self.graph = defaultdict(list) def add_edge(self, a, b): self.graph[a].append(b) if not self.directed: self.graph[b].append(a) ...
code/graph_algorithms/src/hamiltonian_cycle/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/hamiltonian_cycle/hamiltonian_cycle.java
import java.util.Scanner; class HamiltonCycle { final static int MAX = 10; static int NO_VER = MAX; int path[]; public static void main(String args[]) { HamiltonCycle hamiltonian = new HamiltonCycle(); Scanner in = new Scanner(System.in); System.out.println("Backtracking Hamilt...
code/graph_algorithms/src/hamiltonian_cycle/hamiltonian_cycle.py
# Part of Cosmos by OpenGenus Foundation # Python program for solution of # hamiltonian cycle problem class Graph: def __init__(self, vertices): self.graph = [[0 for column in range(vertices)] for row in range(vertices)] self.V = vertices """ Check if this vertex is an adjacent vertex ...
code/graph_algorithms/src/hamiltonian_path/hamiltonian_path.cpp
#include <iostream> #include <vector> #include <bitset> #include <cmath> #include <cstdlib> #include <cstring> using namespace std; const int MAXN = 8000; const int INF = (int)1e9; int n, m, *deg, *par, tl = -1; bool *used; vector <vector <int>> G; inline void count_degs() { for (int i = 0; i < n; i++) ...
code/graph_algorithms/src/hopcroft_karp_algorithm/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/johnson_algorithm_shortest_path/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/johnson_algorithm_shortest_path/johnson_algorithm_shortest_path.py
# Part of Cosmos by OpenGenus Foundation """ def Johnsons(): data = list() source = list() destination = list() edgecost = list() test = 0 vertices = 0 edges = 0 data = readfile() vertexlist = list() distance = list() vertices, edges, source, destination, edgecost, vertexlis...
code/graph_algorithms/src/karger_minimum_cut/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/karger_minimum_cut/karger_minimum_cut.java
/* Sample Input 8 1 2 4 3 2 1 3 4 5 3 1 2 4 4 3 1 2 7 5 2 6 8 7 6 5 7 8 7 4 5 6 8 8 7 6 5 Here, first number is the node number and the following numbers in each row are it's adjacent rows. Sample Output Minimum Cut=2 */ import java.lang.*; import java.util.Scanner; import java.util.concurrent.ThreadLocalRandom; publ...
code/graph_algorithms/src/kruskal_minimum_spanning_tree/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/kruskal_minimum_spanning_tree/kruskal_minimum_spanning_tree.c
// Part of Cosmos by OpenGenus Foundation #include<stdio.h> #include<stdlib.h> #define VAL 999 int i,j,k,a,b,u,v,n,ne=1; int min,mincost=0,cost[9][9],parent[9]; // union - find int find(int i) { while(parent[i]) i=parent[i]; return i; } int uni(int i,int j) { if(i!=j) { parent[j]=i; ...
code/graph_algorithms/src/kruskal_minimum_spanning_tree/kruskal_minimum_spanning_tree.cpp
#include <iostream> #include <vector> #include <algorithm> // Part of Cosmos by OpenGenus Foundation int n, dj[100], rank[100]; //disjoint set int findset(int a) { if (dj[a] != a) return dj[a] = findset(dj[a]); else return a; } bool sameset(int a, int b) { return findset(a) == findset(b); }...
code/graph_algorithms/src/kruskal_minimum_spanning_tree/kruskal_minimum_spanning_tree.java
/* Java program for Kruskal's algorithm to find Minimum * Spanning Tree of a given connected, undirected and * weighted graph */ import java.util.*; import java.lang.*; import java.io.*; class Graph { // A class to represent a graph edge class Edge implements Comparable<Edge> { int src, dest, ...
code/graph_algorithms/src/kruskal_minimum_spanning_tree/kruskal_minimum_spanning_tree.py
from collections import defaultdict # Part of Cosmos by OpenGenus Foundation class Graph: def __init__(self, vertices): self.V = vertices self.graph = [] def addEdge(self, u, v, w): self.graph.append([u, v, w]) def find(self, parent, i): if parent[i] == i: retu...
code/graph_algorithms/src/kuhn_maximum_matching/kuhn_maximum_matching.cpp
/* * BY:- https://github.com/alphaWizard * * algorithm:- finds maximum bipartite matching for a given bipartite graph * by taking input number of nodes(n) and number of edges(m) * * Part of Cosmos by OpenGenus Foundation */ #include <iostream> #include <vector> std::vector<int> adj[10000]; bool mark[1...
code/graph_algorithms/src/kuhn_munkres_algorithm/kuhn_munkres_algorithm.cpp
/* * Part of Cosmos by OpenGenus Foundation * * Kuhn-Munkres algorithm: find the perfect matching in a balanced and weighted bipartite graph * that gives the maximum sum of weights. */ #include <memory> #include <vector> #include <type_traits> #include <limits> #include <algorithm> #include <iostream> #include <in...
code/graph_algorithms/src/left_view_binary_tree/left_view_binary_tree.cpp
#include <iostream> using namespace std; // Part of Cosmos by OpenGenus Foundation struct node { int d; node *left; node *right; }; struct node* newnode(int num) { node *temp = new node; temp->d = num; temp->left = temp->right = NULL; return temp; } void lefttree(struct node *root, int lev...
code/graph_algorithms/src/left_view_binary_tree/left_view_binary_tree.java
// Part of Cosmos by OpenGenus Foundation // This class prints the left nodes of a binary tree class Node { int data; Node left; Node right; public Node(int node) { data = node; left = right = null; } } class BinaryTree { Node root; // Define root node int max_level ...
code/graph_algorithms/src/left_view_binary_tree/left_view_binary_tree.py
# Part of Cosmos by OpenGenus Foundation # A binary tree node class Node: # Constructor to create a new node def __init__(self, data): self.data = data self.left = None self.right = None # Recursive function pritn left view of a binary tree def leftViewUtil(root, level, max_level): ...
code/graph_algorithms/src/longest_path_directed_acyclic_graph/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/longest_path_directed_acyclic_graph/longest_path_directed_acyclic_graph.cpp
#include <iostream> #include <vector> #include <algorithm> /* Part of Cosmos by OpenGenus Foundation */ void dfs(int v, std::vector<std::vector<int>> &g, std::vector<int> &dp) { if (dp[v]) return; dp[v] = 1; for (int u : g[v]) { dfs(u, g, dp); dp[v] = std::max(dp[v], dp[u] + 1...
code/graph_algorithms/src/lowest_common_ancestor/lowest_common_ancestor.cpp
#include <iostream> #include <vector> #include <array> using namespace std; // Part of Cosmos by OpenGenus Foundation // Problem Statement /* * Given a tree with n nodes * Your task is to process q queries of the following form: * who is the lowest common ancestor of nodes a and b in the tree? * * The lowest com...
code/graph_algorithms/src/matrix_transformation/matrix_transformation.swift
// Part of Cosmos by OpenGenus Foundation import Foundation class MatrixTransformation { func rotate<T>(_ matrix: inout [[T]]) { guard matrix.count > 0 && matrix.count == matrix[0].count else { return } // 1 2 3 7 8 9 7 4 1 // 4 5 6 => 4 5 6 => 8 5 2 ...
code/graph_algorithms/src/maximum_bipartite_matching/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/maximum_bipartite_matching/maximum_bipartite_matching.py
# Part of Cosmos by OpenGenus Foundation """ Python program to find maximal Bipartite matching. This is taking corresponding to graph of applicants and their corresponding job positions. """ class Graph: def __init__(self, graph): self.graph = graph # residual graph self.ppl = len(graph...
code/graph_algorithms/src/maximum_edge_disjoint_paths/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/minimum_s_t_cut/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/negative_cycle_finding/negativeCycleFinding.cpp
struct Edge { ll a, b, cost; }; int n, m; vector<Edge> edges; const ll INF = 1e9 + 5; void solve(){ vector<ll> d(n); vector<int> p(n, -1); int x; for (int i = 0; i < n; ++i) { x = -1; for (Edge e : edges) { if (d[e.a] + e.cost < d[e.b]) { d[e.b] = d[e.a]...
code/graph_algorithms/src/postorder_from_inorder_and_preorder/postorder_from_inorder_and_preorder.cpp
#include <iostream> using namespace std; int search(int in[], int k, int n) { for (int i = 0; i < n; i++) if (in[i] == k) return i; return -1; } void postorder(int in[], int pre[], int n) { int root = search(in, pre[0], n); if (root != 0) postorder(in, pre + 1, root); ...
code/graph_algorithms/src/prim_minimum_spanning_tree/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/prim_minimum_spanning_tree/prim_minimum_spanning_tree.c
/* * Part of Cosmos by OpenGenus Foundation */ #include <stdio.h> #include <stdlib.h> #include <limits.h> // Single node of the graph typedef struct node { int vert; int weight; struct node *next; } node; // Vertex of the graph typedef struct vertex { int key; int pos; } vertex; // Establish a connection of gi...
code/graph_algorithms/src/prim_minimum_spanning_tree/prim_minimum_spanning_tree.cpp
#include <iostream> #include <vector> #include <utility> #include <set> using namespace std; typedef long long ll; // Part of Cosmos by OpenGenus Foundation const int MAXN = 1e4 + 5; bool vis[MAXN]; int n, m; vector<pair<ll, int>> adj[MAXN]; // for every vertex store all the edge weight and the adjacent vertex to i...
code/graph_algorithms/src/prim_minimum_spanning_tree/prim_minimum_spanning_tree.py
# A Python program for Prim's Minimum Spanning Tree (MST) algorithm. # The program is for adjacency matrix representation of the graph # Part of Cosmos by OpenGenus Foundation class Python: def __init__(self, vertices): self.V = vertices self.graph = [[0 for column in range(vertices)] for row in ran...
code/graph_algorithms/src/push_relabel/push_relabel.cpp
#include <vector> #include <queue> // push as much excess flow as possible from f to t void push(std::vector<std::vector<int>> graph, std::vector<std::vector<int>>& flow, std::vector<std::vector<int>>& residual, std::vector<int>& excess, int f, int t) { if (excess[f] <= 0) { std::cerr << "ex...
code/graph_algorithms/src/redundant-connection/redundant_connection.cpp
/* * Part of Cosmos by OpenGenus foundation * * Redundant Connection * * Description * * Return an edge that can be removed from an undirected graph so that the resulting graph is a tree of N nodes */ #include <iostream> #include <vector> #include <algorithm> using namespace std; vector<int> parent; //dis...
code/graph_algorithms/src/shortest_path_k_edges/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/steiner_tree/steiner_tree.java
public class SteinerTree { public static int minLengthSteinerTree(int[][] g, int[] verticesToConnect) { int n = g.length; int m = verticesToConnect.length; if (m <= 1) return 0; for (int k = 0; k < n; k++) for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) g[i][j] = Math.min(g[i][j], g[i]...
code/graph_algorithms/src/strongly_connected_components/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/strongly_connected_components/strongly_connected_components.cpp
#include <iostream> #include <list> #include <stack> using namespace std; class Graph { int V; // No. of vertices list<int> *adj; // An array of adjacency lists // Fills Stack with vertices (in increasing order of finishing // times). The top element of stack has the maximum finishing // time void f...
code/graph_algorithms/src/strongly_connected_components/strongly_connected_components.py
# Part of Cosmos by Open Genus foundation # Python implementation of Kosaraju's algorithm to print all SCCs from collections import defaultdict # This class represents a directed graph using adjacency list representation class Graph: def __init__(self, vertices): self.V = vertices # No. of vertices ...
code/graph_algorithms/src/tarjan_algorithm_strongly_connected_components/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/tarjan_algorithm_strongly_connected_components/tarjan_algorithm_strongly_connected_components.c
/* * Part of Cosmos by OpenGenus Foundation. * Author : ABDOUS Kamel * Tarjan algorithm. * * You will need the data-structure located in * https://github.com/OpenGenus/cosmos/tree/master/code/graph_algorithms/src/adjacency_lists_graph_representation/adjacency_lists_in_C * to use this algorithm. */ #include "lg...
code/graph_algorithms/src/topological_sort/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/topological_sort/kahn_algo_unique_toposort.cpp
// Sample problem for using this algorithm - UVA 11060 Beverages #include <bits/stdc++.h> #define all(a) a.begin(), a.end() #define ll long long #define inp(a) scanf("%d", &a) #define out(a) printf("%d\n", a) #define inp2(a) scanf("%lld", &a) #define out2(a) printf("%lld\n", a) #define arrinput(a, n) for (int i = 0; i ...
code/graph_algorithms/src/topological_sort/kahn_algorithm_basic.cpp
/* * Implementation of the Kahn's algorithm * for topological sort in a directed acyclic graph */ #include <iostream> #include "bits/stdc++.h" using namespace std; queue<int> q, q2; long long n = 100000; int v, e, v1, v2, visited[10000], level[100000], indegree[100000]; vector<int> g[100000]; void bfs(int i) { w...
code/graph_algorithms/src/topological_sort/print_all_topological_sorts.cpp
#include <iostream> #include <vector> using namespace std; class Graph { vector<vector<int>> graph; vector<int> indegree; public: Graph (int); void insert_egde (int, int); void all_topo_sorts (); void all_topo_sorts_helper (vector<int> &, vector<bool> &); }; Graph :: Graph (int v) { graph....
code/graph_algorithms/src/topological_sort/topological_sort.c
/* * Part of Cosmos by OpenGenus Foundation. * Author : ABDOUS Kamel * Topological sort based on depth-first search. * * You will need the data-structure located in * https://github.com/OpenGenus/cosmos/tree/master/code/graph_algorithms/src/adjacency_lists_graph_representation/adjacency_lists_in_C * to use this...
code/graph_algorithms/src/topological_sort/topological_sort.cpp
/* Part of Cosmos by OpenGenus Foundation */ #include <cstdio> #include <algorithm> #include <string> #include <vector> #include <queue> using namespace std; #define NUM_V 100005 vector<int> adjList[NUM_V + 5]; int inDegree[NUM_V + 5]; int vertex; vector<int> toposort() { vector<int> result; queue<int> q; ...
code/graph_algorithms/src/topological_sort/topological_sort.hs
module Topological where import Data.List -- Part of Cosmos by OpenGenus -- Note: this implementation is not the most efficient. -- With a better DAG datastructure, this would be O(V+E) -- But if the number of sources of the graph is generally low, -- this implementation approximates that. topo' [] _ _ = [] topo' (r...
code/graph_algorithms/src/topological_sort/topological_sort.js
/** * Part of Cosmos by OpenGenus * Javascript program to find topological Sort order of a Directed Acyclic Graph. * Topological sorting for Directed Acyclic Graph (DAG) is a linear * ordering ofvertices such that for every directed edge uv,1 * vertex u comes before v in the ordering. */ class Graph { construc...
code/graph_algorithms/src/topological_sort/topological_sort.py
""" Part of Cosmos by OpenGenus Foundation """ from collections import deque NUM_V = 100005 adj_list = [[] for i in range(0, NUM_V)] in_degree = [0 for i in range(0, NUM_V)] def toposort(): result = [] q = deque() for i in range(1, vertex + 1): # if no incoming degree, add to queue if i...
code/graph_algorithms/src/topological_sort/topological_sort_adjacency_list.java
/** * This topological sort implementation takes an adjacency list of an acyclic graph and returns * an array with the indexes of the nodes in a (non unique) topological order * which tells you how to process the nodes in the graph. More precisely from wiki: * A topological ordering is a linear ordering of its vert...
code/graph_algorithms/src/topological_sort/topological_sort_adjacency_list2.java
/** * This topological sort implementation takes an adjacency list of an acyclic graph and returns * an array with the indexes of the nodes in a (non unique) topological order * which tells you how to process the nodes in the graph. More precisely from wiki: * A topological ordering is a linear ordering of its vert...
code/graph_algorithms/src/topological_sort/topological_sort_adjacency_matrix.java
/** * This Topological sort takes an adjacency matrix of an acyclic graph and returns * an array with the indexes of the nodes in a (non unique) topological order * which tells you how to process the nodes in the graph. More precisely from wiki: * A topological ordering is a linear ordering of its vertices such tha...
code/graph_algorithms/src/topological_sort/topological_sort_adjacency_matrix2.java
/** * This Topological sort takes an adjacency matrix of an acyclic graph and returns * an array with the indexes of the nodes in a (non unique) topological order * which tells you how to process the nodes in the graph. More precisely from wiki: * A topological ordering is a linear ordering of its vertices such tha...
code/graph_algorithms/src/transitive_closure_graph/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/transitive_closure_graph/transitive_closure_graph.cpp
#include <stdio.h> #include <iostream> using namespace std; void printSolution(int reach[][4]) { cout << "Following matrix is transitive closure of the given graph\n"; for (int i = 0; i < 4; i++) { for (int j = 0; j < 4; j++) cout << reach[i][j]; cout << endl; } } void transi...
code/graph_algorithms/src/transitive_closure_graph/transitive_closure_graph.py
# Python program to print transitive closure of a graph # Part of Cosmos by OpenGenus Foundation from collections import defaultdict # This class represents a directed graph using adjacency list representation class Graph: def __init__(self, vertices): # No. of vertices self.V = vertices #...
code/graph_algorithms/src/transitive_closure_graph/transitive_closure_graph_floyd_warshall.cpp
#include <iostream> #include <vector> #include <bitset> /* Part of Cosmos by OpenGenus Foundation */ // Floyd-Warshall algorithm. Time complexity: O(n ^ 3) void transitive_closure_graph(std::vector<std::vector<int>> &graph) { int n = (int) graph.size(); for (int k = 0; k < n; k++) for (int i = 0; i < ...
code/graph_algorithms/src/transitive_closure_graph/transitive_closure_graph_powering.cpp
#include <iostream> #include <cmath> #include <cstdlib> using namespace std; /// utility function to print the transitive closure matrix void print_transitive_closure(int** output, int num_nodes) { cout << endl; for(int i=0;i<num_nodes;i++) { for(int j=0;j<num_nodes;j++) { cout ...
code/graph_algorithms/src/transitive_closure_graph/transitive_closure_graph_powering_improved.cpp
#include <iostream> #include <cmath> #include <cstdlib> using namespace std; /// utility function to print the transitive closure matrix void print_transitive_closure(int** output, int num_nodes) { cout << endl; for(int i=0;i<num_nodes;i++) { for(int j=0;j<num_nodes;j++) { cout ...
code/graph_algorithms/src/travelling_sales_man_dp/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/travelling_sales_man_dp/travelling_salesman_dp.cpp
#include <bits/stdc++.h> using namespace std; class brute_force { public: int shortest_path_sum(int** edges_list, int num_nodes) { int source = 0; vector<int> nodes; for(int i=0;i<num_nodes;i++) { if(i != source) { nodes.push_back(i); ...
code/graph_algorithms/src/travelling_salesman_branch&bound/tsp_branch_bound.cpp
#include <bits/stdc++.h> using namespace std; // number of total nodes #define N 5 #define INF INT_MAX class Node { public: vector<pair<int, int>> path; int matrix_reduced[N][N]; int cost; int vertex; int level; }; Node* newNode(int matrix_parent[N][N], vector<pair<int, int>> const &path,int leve...
code/graph_algorithms/src/travelling_salesman_mst/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/src/travelling_salesman_mst/travelling_salesman.c
#include <stdio.h> #include <stdlib.h> #include <limits.h> #include <time.h> #define MAX_N 21 #define MAX_E (MAX_N * (MAX_N - 1)) / 2 #define MAX_MASK (1 << MAX_N) #define MAX_W 100 #define NB_ITER 20 int N, fullmask, dp[MAX_N][MAX_MASK]; int G[MAX_N][MAX_N]; /* Result of PVC is stored here. Each element correspond ...
code/graph_algorithms/src/travelling_salesman_mst/travelling_salesman.cpp
#include <iostream> #include <vector> const int MAX = 2000000000; const int MAX_NODES = 20; int optimalWayLength[1 << MAX_NODES][MAX_NODES]; bool was[1 << MAX_NODES][MAX_NODES]; int cameFrom[1 << MAX_NODES][MAX_NODES]; int distances[MAX_NODES][MAX_NODES]; int n; int findAns (int last, int mask) { if (mask =...
code/graph_algorithms/src/travelling_salesman_mst/travelling_salesman.py
# Part of Cosmos by OpenGenus Foundation def solve_tsp_dynamic(points): # calc all lengths all_distances = [[length(x, y) for y in points] for x in points] # initial value - just distance from 0 to every other point + keep the track of edges A = { (frozenset([0, idx + 1]), idx + 1): (dist, [0, i...
code/graph_algorithms/src/vertex_cover/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/graph_algorithms/test/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter
code/graph_algorithms/test/floyd_warshall_graph/floyd_warshal_test.go
package graph import ( "math" "testing" ) const float64EqualityThreshold = 1e-9 //almostEqual subtracts two float64 variables and returns true if they differ less then float64EqualityThreshold //reference: https://stackoverflow.com/a/47969546 func almostEqual(a, b float64) bool { return math.Abs(a-b) <= float64Eq...
code/graph_algorithms/test/matrix_transformation/test_matrix_transformation.swift
// Part of Cosmos by OpenGenus Foundation import Foundation class TestMatrixTransformation { let mt = MatrixTransformation() var matrix: [[Int]] = [] let m0: [[Int]] = [] let m1 = [[1]] let m2 = [[1, 2], [3, 4]] let m4 = [[ 1, 2, 3, 4], [ 5, 6, 7, 8], ...
code/graph_algorithms/test/push_relabel/test_push_relabel.cpp
#define CATCH_CONFIG_MAIN #include "../../../../test/c++/catch.hpp" #include "../../src/push_relabel/push_relabel.cpp" #include <iostream> int g_testCounter = 0; std::vector<std::vector<int>> g_graph; std::vector<std::vector<int>> g_flow; int test(int s, int t, bool empty) { int k = (empty ? maxFlowEmpty(g_graph...
code/greedy_algorithms/src/README.md
# Greedy algorithms > Cosmos: Your personal library of every algorithm and data structure code that you will ever encounter A greedy algorithm is an algorithmic paradigm that follows the problem solving heuristic of making the locally optimal choice at each stage with the hope of finding a global optimum. In many prob...
code/greedy_algorithms/src/SplitArrayLargestSum/README.md
# Split Array Largest Sum Given an array nums which consists of non-negative integers and an integer m, you can split the array into m non-empty continuous subarrays. Write an algorithm to minimize the largest sum among these m subarrays. ### Example 1: Input: nums = [7,2,5,10,8], m = 2 Output: 18 Expla...
code/greedy_algorithms/src/SplitArrayLargestSum/SplitArrayLargestSum.cpp
//CODE #include <bits/stdc++.h> using namespace std; class Solution { private: /* Parameters: nums - The input array; cuts - How many cuts are available (cuts = #groups - 1); max - The maximum of the (sum of elements in one group); Return: Whethe...
code/greedy_algorithms/src/activity_selection/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/greedy_algorithms/src/activity_selection/activity_selection.c
#include <stdio.h> #include <stdlib.h> struct activity { int start, finish; }; int comparator(const void* s1, const void* s2) { return ((struct activity *)s1)->finish > ((struct activity *)s2)->finish; } void print_max_activities(struct activity arr[], int n) { qsort(arr, n, sizeof(arr[0]), comparator); printf(...
code/greedy_algorithms/src/activity_selection/activity_selection.cpp
#include <algorithm> #include <iostream> using namespace std; // Part of Cosmos by OpenGenus Foundation // A job has start time, finish time and profit. struct Activitiy { int start, finish; }; // A utility function that is used for sorting // activities according to finish time bool activityCompare(Activitiy s1,...
code/greedy_algorithms/src/activity_selection/activity_selection.java
// Part of Cosmos by OpenGenus Foundation // Activity selection problem import java.io.*; import java.lang.*; import java.math.*; import java.util.*; class ActivitySelection { static void activitySelection(List<Activity> activities, int n) { Collections.sort(activities, new ActivityComparator()); System.out....
code/greedy_algorithms/src/activity_selection/activity_selection.py
""" Part of Cosmos by OpenGenus Foundation Activity Selection Problem """ class Activity: def __init__(self, start, finish): self.start = start self.finish = finish def __lt__(self, other): return self.finish < other.finish def __repr__(self): return "( %s, %s )" % (s...
code/greedy_algorithms/src/dials_algorithm/dials_algorithm.cpp
// C++ Program for Dijkstra's dial implementation #include<bits/stdc++.h> using namespace std; # define INF 0x3f3f3f3f // This class represents a directed graph using // adjacency list representation class Graph { int V; // No. of vertices // In a weighted graph, we need to store vertex // and weight pair for ever...
code/greedy_algorithms/src/dijkstra_shortest_path/README.md
# cosmos Your personal library of every algorithm and data structure code that you will ever encounter Collaborative effort by [OpenGenus](https://github.com/opengenus)
code/greedy_algorithms/src/dijkstra_shortest_path/dijkstra_shortest_path.c
/* * From a given vertex in a weighted connected graph, find shortest * paths to other vertices using Dijkstra's algorithm */ #include "stdio.h" #define infinity 999 void dij(int n, int src, int cost[10][10], int dist[]) { int i, u, count, flag[10], min; for(i = 1; i <= n; i++) flag[i] = 0, dist[i] = cost[s...
code/greedy_algorithms/src/dijkstra_shortest_path/dijkstra_shortest_path.cpp
// Implemented by jhbecares based on Dijkstra's algorithm in "Competitive Programming 3" // Example extracted from problem 10986 - Sending email from UVa Online Judge /* * Try with the following data: * Sample Input * 3 * 2 1 0 1 * 0 1 100 * 3 3 2 0 * 0 1 100 * 0 2 200 * 1 2 50 * 2 0 0 1 * * Sample Output ...
code/greedy_algorithms/src/dijkstra_shortest_path/dijkstra_shortest_path.java
// Part of Cosmos by OpenGenus Foundation public class Dijkstra { // Dijkstra's algorithm to find shortest path from s to all other nodes public static int [] dijkstra (WeightedGraph G, int s) { final int [] dist = new int [G.size()]; // shortest known distance from "s" final int [] pred = new int [G.s...
code/greedy_algorithms/src/dijkstra_shortest_path/dijkstra_shortest_path.py
# Part of Cosmos by OpenGenus Foundation def dijkstra(graph, source): vertices, edges = graph dist = dict() previous = dict() for vertex in vertices: dist[vertex] = float("inf") previous[vertex] = None dist[source] = 0 Q = set(vertices) while len(Q) > 0: u = minim...
code/greedy_algorithms/src/egyptian_fraction/egyptian_fraction.c
#include <stdio.h> /* This is a program to represent a number in terms of it's Egyptian fraction. An Egyptian Fraction is a finitet sum of unit fractions. Any positive rational number can be represented by sum of unit fractions. */ void printEgyptian(int numerator, int denominator) { if (denominator == 0 || numera...
code/greedy_algorithms/src/egyptian_fraction/egyptian_fraction.cpp
#include <iostream> using namespace std; // Part of Cosmos by OpenGenus Foundation void printEgyptian(int numerator, int denominator) { if (denominator == 0 || numerator == 0) return; if (denominator % numerator == 0) { cout << "1/" << denominator / numerator; return; } if ...
code/greedy_algorithms/src/egyptian_fraction/egyptian_fraction.php
<?php // Part of Cosmos by OpenGenus // PHP program to print a fraction // in Egyptian Form using Greedy // Algorithm function printEgyptian($nr, $dr) { // If either numerator or // denominator is 0 if ($dr == 0 || $nr == 0) return; // If numerator divides denominator, /...