Output: Yes. 8. We add an edge back before we process the next edge. U = 1, V = 3. But its worst-case time complexity is still O(V^2). Your task is to complete the function findShortestPath () which takes matrix as input parameter and return an integer denoting the shortest path. A value of cell 3 means Blank cell. Same as condition (a) for Eulerian Cycle. in all 4 directions. Your task is to complete the function ShortestPath () which takes a string S and returns an array of strings containing the. First you init the queue by all the positions of A in the grid. , grid [m - 1] [n - 1]). Shortest path in a directed graph by Dijkstra’s algorithm. Share. 1). e. Output: 3. Given a weighted, directed and connected graph of V vertices and E edges, Find the shortest distance of all the vertex's from the source vertex S. The sum of weight in the above path is -3 + 2 – 1 = -2. Auxiliary Space: O (V) 5. Replace all of the O’s in the matrix with their shortest distance from a guard, without being able to go through any walls. If a vertices can't be reach from the S then mark the distance as 10^8. Follow the steps below to solve the problem: Start from the root node of the Binary tree with the initial path sum of 0. It chooses one element from each next row. Check if it forms a cycle with the spanning tree formed so far. Minimum steps to reach the target by a Knight using BFS: This problem can be seen as the shortest path in an unweighted graph. The graph is given adjacency matrix representation where. Complete the function shortest path () which takes a 2d vector or array edges representing the edges of undirected graph with unit weight, an integer N as number nodes, an integer. Below are steps. So there are n stairs. Given a directed acyclic graph (DAG) with n nodes labeled from 0 to n-1. 2. GfG-Problem Link: and Notes Link: two distinct words startWord and targetWord, and a list denoting wordList of unique words of equal lengths. Then the LIP value for cell m [0] [0] will be the answer. Follow the steps mentioned below to implement the idea: Create a recursive function. It is a single source shortest path algorithm. Johnson's algorithm for All-pairs shortest paths; Shortest Path in Directed Acyclic Graph; Multistage Graph (Shortest Path) Shortest path in an unweighted graph; Karp's minimum mean (or average) weight cycle algorithm; 0-1 BFS (Shortest Path in a Binary Weight Graph) Find minimum weight cycle in an undirected graphPractice. Given a weighted, undirected and connected graph of V vertices and an adjacency list adj where adj [i] is a list of lists containing two integers where the first integer of each list. You are given an Undirected Graph having unit weight, Find the shortest path from src to all the vertex and if it is unreachable to reach any vertex, then return -1 for that vertex. So “ek” becomes “geeke” which is shortest common supersequence. Given a directed graph and a source vertex in the graph, the task is to find the shortest distance and path from source to target vertex in the given graph where edges are weighted (non-negative) and directed from parent vertex to source vertices. You dont need to read input or print anything. GCD from root to leaf path in an N-ary tree. The next row’s choice must be in a column that is different from the previous row’s column by at most one. Count of shortest paths containing (U, V) as an edge = subtreeSize (U) * (N – subtreeSize (V)). If there is no possible path, return -1. Examp. If given node itself is a leaf, then distance is 0. The minimum number of jumps to reach end from first can be calculated using the minimum value from the recursive calls. Push the word in the queue. There is an edge from a vertex i to a vertex j iff either j = i + 1 or j = 3 * i. Prerequisites: Dijkstra. Solve DSA problems on GfG Practice. Given a N x M grid. Initialize a counter [] [] vector, this array will keep track of the number of remaining obstacles that can be eliminated for each visited cell. Auxiliary Space: O (R*C), The extra space is used in storing the elements of the visited matrix. Given two strings, find the length of longest subsequence present in both of them. If a vertices can't be reach from the S then mark the distance as 10^8. Shortest path length between two given nodes such that adjacent nodes are at bit difference 2. Practice. Use two arrays, say dist [] to store the shortest distance from the source vertex and paths [] of size N, to store the number of. If a vertex is unreachable from the source node, then return -1 for that vertex. by adding two A's at front of string. You are given an array graph where graph [i] is a list of. Second path of length 2 is the shortest. Exercise 5. You are given an Undirected Graph having unit weight, Find the shortest path from src to all the vertex and if. Follow. You are given a weighted undirected graph having n+1 vertices numbered from 0 to n and m edges describing there are edges between a to b with some weight, find the shortest path between the vertex 1 and the vertex n, and if the path does not exist then return a list consisting of only-1. Auxiliary Space: O (R * C), as we are using extra space like visted [R] [C]. Print all paths from a given source to a destination using BFS. Initially, this set is empty. If current character, i. It allows some of the edge weights to be negative numbers, but no negative-weight cycles may exist. Practice. 1 ≤ cost of cells ≤ 1000. Algorithm to find shortest closed path or optimal Chinese postman route in a weighted graph that may not be Eulerian. Method 1. Example: Input: n = 9, m= 10 edges= [ [0,1], [0,3], [3,4. One solution is to solve in O (VE) time using Bellman–Ford. Given a 2D binary matrix A(0-based index) of dimensions NxM. Given a weighted directed graph with n nodes and m edges. where e is the number of edges in the graph. Step by step Shortest Path from source node to destination node in a Binary Tree. Explanation: The number of shortest path from node 1 to node 4 is 2, having cost 5. Ini. Count the number of paths from root to leaf of a Binary tree with given XOR value. If the cell is out of bounds or the subproblem has already been solved, return 0 or the previously calculated value in the lookup table, respectively. Improve this answer. Please. The graph is represented as an adjacency. Given an adjacency matrix graph representing paths between the nodes in the given graph. 3) Insert source vertex into pq and make its. Approach: For every vertex, we check if it is possible to get the shortest cycle involving this vertex. Shortest Path in Undirected Graph with Unit Weights. 3 elements arranged at positions 1, 7 and 12, resulting in a minimum distance of 5 (between 7 and 12) A Naive Solution is to consider all subsets of size 3 and find the minimum distance for every subset. unweighted graph of 8 vertices. Your Task: You don't need to read input or print anything. Count all possible paths from source to destination in given 3D array. Jobs. 2) Create a separate stack to store the path from the root to the current node. e. Find out the minimum steps a Knight will take to reach the target position. The distance between the two nodes i and j will be equal to dist (i, LCA (i, j)) + dist (j, LCA (i. Johnson's algorithm for All-pairs shortest paths; Number of shortest paths in an Undirected Weighted Graph; Number of ways to reach at destination in shortest time; Check if given path between two nodes of a graph represents a shortest paths; Dijkstra's shortest path with minimum edges; Shortest Path in Directed Acyclic GraphConsider a rat placed at (0, 0) in a square matrix of order N * N. Example 1: Input: 3 / 2 4 Output: 2 2 $ Explanation : There are 2 roots to leaf paths of length 2 (3 -> 2 and 3 -> 4) Example 2: Input: 10 / 20 30 / 40 60 Output: 2 1 $3 2 $ Explanation: There is 1 root leaf paths of length 2 and 2. Hence, the shortest distance. In fact, the Longest Path problem is NP-Hard for a general graph. dp [i] [j] represents shortest path from i to j. You don't need to read input or print anything. Discuss. e. Algorithm: Steps involved in finding the topological ordering of a DAG: Step-1: Compute in-degree (number of incoming edges) for each of the vertex present in the DAG and initialize the count of visited nodes as 0. Bellman-Ford is a single source shortest path algorithm that determines the shortest path between a given source vertex and every other vertex in a graph. Given a Binary Tree of size N and an integer K. Naive Approach: The idea is to use Floyd Warshall Algorithm. Complete the function shortest path () which takes a 2d vector or array edges representing the edges of undirected graph with unit weight, an integer N as number nodes, an integer M as number of edges and an integer src as the input parameters and returns an integer array or vector, denoting the vector of distance from src to all nodes. Expected Auxiliary Space is O (MN) for a M x N matrix. Suppose,you need to find the shortest path. Method 1. The path can only be created out of a cell if its value is 1. (The values are returned as vector in cpp, as. Output: 2. Paytm. Step 2: Pick edge 8-2. Python3. Begin mark u as visited for all vertex v, which is connected with u, do if v is not visited, then topoSort (v, visited, stack) done push u into the stack End. Step 2: Iterate from the end of string. Try all 8 possible positions where a Knight can reach from its position. Time Complexity: O(m x n) Auxiliary Space: O( m *n)+O(m+n) , (m*n) extra array space and (m+n) recursive stack space. Example1: Input: N = 4, M = 2 edge =. Given a directed graph. The idea is to find paths from root nodes to the two nodes and store them in two separate vectors or arrays say path1 and path2. Approach: This problem is similar to finding the shortest path in an unweighted graph. 1. You are given heights, a 2D array of size rows x columns, where heights[row][col] represents the height of cell (row, col). An edge in an undirected connected graph is a bridge if removing it disconnects the graph. not appeared before, then. Copy contents. The problem is to find the shortest distances between every pair of vertices in a given edge-weighted directed graph. A longest path between two given vertices s and t in a weighted graph G is the same thing as a shortest path in a graph G’ derived from G by changing every weight to its negation. Pick the smallest edge. Time Complexity: O(N 2) Efficient Approach: The idea is to use Recursion to solve this problem efficiently. Another method: It can be solved in polynomial time with the help of Breadth First Search. Shortest distance between two nodes in BST. In this article, an O (E*K) approach is discussed for solving this problem. You need to find the shortest distance between a given source cell to a destination cell. Given a n*m matrix, find the maximum length path (starting from any cell) such that all cells along the path are in strictly increasing order. Construct a graph using N vertices whose shortest distance between K pair of vertices is 2. Note: All weights are non-negative. So, the minimum spanning tree formed will be having (9 – 1) = 8 edges. Any such node should be counted only once. . Find all possible paths that the rat can take to reach from source to destination. Back to Explore Page. Hence, the shortest distance of node 0 is 0 and the shortest distance. A Bellman-Ford algorithm is also guaranteed to find the shortest path in a graph, similar to. unweighted graph of 8 vertices. Insert non-lcs characters (in their original order in strings) to the lcs found above, and return the result. Also, you should only take nodes directly or indirectly connected from Node. You don't need to read or print anything. If zero or two vertices have odd degree and all other vertices have even degree. Depth First Traversal can be used to detect a cycle in a Graph. If there is only one topological sort. Complete the function Kdistance () that accepts root node and k as parameter and return the value of the nodes that are at a distance k from the root. You don't need to read input or print anything. The graph is given as follows: graph[i] is a list of all nodes you can visit from node i (i. 1) Create an auxiliary array of strings, temp []. Find the shortest path from src(0) vertex to all the vertices and if it is impossible to reach any vertex, then return -1 for that vertex. Examples: Input: src = 0, the graph is shown below. While traversing through the safe path, we need to avoid walking adjacent cells of the landmine (left, right, above. Therefore, print 8. Practice. Can you solve this real interview question? Shortest Path Visiting All Nodes - You have an undirected, connected graph of n nodes labeled from 0 to n - 1. Strings are considered a data type in general and are typically represented as arrays of bytes (or words) that store a sequence of characters. Minimum weighted cycle is : Minimum weighed cycle : 7 + 1 + 6 = 14 or 2 + 6 + 2 + 4 = 14. Follow the steps below in order to solve the problem: Root the tree at any random vertex, say 1. (The values are returned as vector in cpp, as. Maximize sum of path from the Root to a Leaf node in N-ary Tree. Tutorials. if there a multiple short paths with same cost then choose the one with the minimum number of edges. Using this it's clear to see that you can generate the shortest path with one linear scan of a topological ordering (pseudocode): Graph g Source s top_sorted_list = top_sort (g) cost = {} // A mapping between a node, the cost of its shortest path, and //its parent in the shortest path for each vertex v in top_sorted_list: cost [vertex]. Therefore, the problem can be solved using BFS. GfG-Problem Link: C++/Java/Codes and Notes Link:. You are given two four digit prime numbers Num1 and Num2. Menu. Example 1: Input: N = 9 Output: 2 Explanation: 9 -> 3 -> 1, so number of steps are 2. In the previous problem only going right and the bottom was allowed but in this problem, we are allowed to go bottom, up, right and left i. Below are the steps for finding MST using Kruskal’s algorithm. def BFS_SP (graph, start,. Example 1: Input: grid = [[1,3,1],[1,5,1],[4,2,1]] Output: 7 Explanation: Because the path 1 → 3 → 1 → 1 → 1 minimizes the sum. Shortest path in a graph from a source S to destination D with exactly K edges for multiple Queries. Hence, the shortest distance of node 0 is 0 and the shortest distance. Another method: It can be solved in polynomial time with the help of Breadth First Search. "contribute", "practice"} word1 = "geeks" word2 = "practice" Output: 2 Explanation: Minimum distance between the words "geeks" and "practice" is 2. e. We start BFS from both the roots, start and finish at the same time but using only one queue. . For example, consider the below graph. Iterate over all M edges and for each edge U and V set dp [U] [V] to 1 and ANS [U] [V] to A [U] + A [V]. Given a square chessboard, the initial position of Knight and position of a target. Print path between any two nodes in a Binary Tree; Preorder Traversal of Binary Tree; Count pairs of leaf nodes in a Binary Tree which are at most K distance apart; Print all root-to-leaf paths with maximum count of even nodes; Count nodes having highest value in the path from root to itself in a Binary Tree; Height and Depth of a node in a. To solve the problem follow the below idea: This problem can be seen as the shortest path in an unweighted graph. Dijkstra’s algorithm is a popular algorithms for solving many single-source shortest path problems having non-negative edge weight in the graphs i. We can make above string palindrome as "CBABC". If the pat. Note that only one vertex with odd degree is not possible in an undirected graph (sum of all degrees is always even in an. Print all root to leaf paths with there relative positions. Shortest Source to Destination Path | Practice | GeeksforGeeks Back to Explore Page Given a 2D binary matrix A (0-based index) of dimensions NxM. Also go through detailed tutorials to improve your understanding to the topic. cost. Initial position is top left and all characters of input string should be printed in order. So whenever the target word is found for the first time that will be the length of the shortest chain of words. Expected Time Complexity: O (n*m) Expected Space Compelxity: O (n) Constraints: 1 <= n <= 100. Shortest Path-Printing using Dijkstra's Algorithm for Graph (Here it is implemented for undirected Graph. In this post, the same is discussed for a directed graph. It's based on the observation that edge for which dist + edge_weight is minimum is on the path (when looking backwards). from above to generate different subsequence. If the length of the shortest path. of arr [] to temp [] 2) While temp [] contains more than one strings. Let countSub (n) be count of subsequences of. Share. If a graph contains a. It was conceived by Dutch computer scientist Edsger W. Given a binary matrix mat[][] of dimensions of N * M and pairs of integers src and dest representing source and destination cells respectively, the task is to find the shortest sequence of moves from the given source cell to the destination cell via cells consisting only of 1s. Exclusively for Freshers! Participate for Free on 21st November & Fast-Track Your Resume to Top Tech Companies. ; All the adjacent cells of the path are 8-directionally connected (i. Step 2: Follow steps 3 to 5 till there are vertices that are not included in the MST (known as fringe vertex). Input: N = 5, M = 8. For every vertex being processed, we update distances of its adjacent using distance of current vertex. Follow the steps below to solve the problem: Create a set sptSet (shortest path tree set) that keeps track of vertices included in the shortest path tree, i. We use a double-ended queue to store the node. Step 2: Iterate from the end of string. Given a path in the form of a rectangular matrix having few. Note: The Graph doesn't contain any negative weight cycle. Here, for every vertex in the graph, we have a list of all the other vertices which the particular vertex has an edge to. Follow edges one at a time. Output: Shortest path length is:5. Output : 3. Explanation: The shortest path is: 2 → 1. For each index. Like Articulation Points, bridges represent vulnerabilities in a connected network and are. For each current word, find the possible next words present in str [] by changing each character from. It uses two pointers one moving twice as fast as the other one. Distance from the Source (Bellman-Ford Algorithm) | Practice | GeeksforGeeks. Given a weighted, undirected and connected graph of V vertices and E edges. A Bellman-Ford algorithm is also guaranteed to find the shortest path in a graph, similar to. A Simple Solution is to use Dijkstra’s shortest path algorithm, we can get a shortest path in O (E + VLogV) time. Step 3: Pick edge 6-5. Given a graph of N Nodes and E edges in form of {U, V, W} such that there exists an edge between U and V with weight W. Below is the implementation of the above approach: C++. Every item of set is a pair. Output: Length -> 3 , Path -> ( 1, 3 ) and ( 3, 1 ) In the first example, the minimum length of the shortest path is equal to the maximum sum of the points, which is 1+3 or 2+2. Example 1: Input: matrix = { {0,25}, {-1,0}} Output: { {0,25}, {-1,0}} Explanation: The shortest distance between every pair is already given (if it exists). Expected Time complexity is O (MN) for a M x N matrix. You don't need to read input or print anything. Time Complexity: 4^ (R*C), Here R and C are the numbers of rows and columns respectively. If it is unreachable then return -1. Input: 1 3 4 Output: YES. Keep the following conditions in m Output. Minimum length of jumps to avoid given array of obstacles. Back to Explore Page. If cycle is not formed, include this edge. Example1: Input: N = 4, M = 2 edge = [[0,1,2],[0,2,1] Output: 0 2 1 -1 Explanation: Shortest path from 0 to 1 is 0->1 with edge weight 2. The Minimum distance of all nodes from Source, intermediate, and destination can be found by doing Dijkstra’s Shortest Path algorithm from these 3. Output: 7 3 1 4. Remove nodes from Binary Tree such that sum of all remaining root-to-leaf paths is atleast K. At any step i, we can move forward i, then backward i + 1. Explanation: (1, 2) and (2, 5) are the only edges resulting into shortest path between 1 and 5. The task is to find the minimum number. There is a robot initially located at the top-left corner (i. Here reachable mean that there is a path from vertex i to j. not appeared before, then. Print all paths from a given source to a destination using BFS. You. (b) Is the shortest path tree unique? (c). Method 1 (Simple) One straight forward solution is to do a BFS traversal for every node present in the set and then find all the reachable nodes. The vertices are sometimes also referred to as nodes and the edges are lines or arcs that connect any two nodes in the graph. Let the src be 2 and dst be 3. Prerequisite: Dijkstra’s shortest path algorithm. If there are 2 odd vertices, start at one of them. Your Task: Your task is to complete the function isNegativeWeightCycle () which takes n and edges as input paramater and returns 1 if graph contains negative weight cycle otherwise returns 0. Let us consider another. The important thing to note is we can reach any destination as it is always possible to make a move of length 1. : memo [k] [i] = min ( memo [k+1] [i], memo [k+1] [i+1]) + A [k] [i];You don't need to read input or print anything. 8. Finally, return the largest of all minimum distances. Create an empty queue and enqueue the source cell having a distance 0 from source (itself) and mark it as visited. Shortest cycle in an undirected unweighted graph. To. Example 1: Input: 1 / 3 2 / 4 Output: 2 Explanation: Minimum depth is between nodes 1 and 2 since minimum depth is defined as the number of nodes along the shortest path from the root node down to the nearest leaf node. GFG Weekly Coding Contest; Job-A-Thon: Hiring Challenge; All Contests and Events. e. Algorithm 1) Create a set sptSet (shortest path tree set) that keeps track of vertices included in shortest path tree, i. The directed path 1->3->2->4. There is an edge from a vertex i to a vertex j if and only if either j = i + 1 or j = 3 * i. If there is only one topological sort. The Floyd-Warshall algorithm, named after its creators Robert Floyd and Stephen Warshall, is a fundamental algorithm in computer science and graph theory. 89% Submissions: 109K+ Points: 4. A solution that always finds shortest superstring takes exponential time. The main idea is to recursively get the longest path from the left. Given a directed graph and two vertices ‘u’ and ‘v’ in it, count all possible walks from ‘u’ to ‘v’ with exactly k edges on the walk. Given a graph of N Nodes and E edges in form of {U, V, W} such that there exists an edge between U and V with weight W. Practice. For example a solution is 1033, 1733, 3733, 3739, 3779, 8779, 8179. Compute the minimum number of steps required for each index to reach the end of the array by iterating over indices N – 2 to 1. However, the longest path problem has a linear time solution for directed acyclic graphs. Last Updated: 13 October 2022. Courses. Approach: The problem can be solved by the Dijkstra algorithm. Add the value of the current node to the path sum. Time Complexity: O (N*M). The task is to print the cyclic path whose sum of weight is negative. Shortest direction | Practice | GeeksforGeeks. Bellman-Ford algorithm for Shortest Path Algorithm: Bellman-Ford is a single source shortest path algorithm that determines the shortest path between a given source vertex and every other vertex in a graph. For every index we have four options, so our overall time complexity will become 4^ (R*C). Expected Time Complexity: O (m* log (n)) Expected Space Complexity: O (n) Constraint: 2 <= n <= 105. Notation: If s is clear from context we may use dist(u)as short hand for dist(s;u). Shortest Path-Printing using Dijkstra's Algorithm for Graph (Here it is implemented for undirected Graph. We know that the path should turn clockwise whenever it would go out of bounds or into a cell that was previously visited. 2K 161 You have an undirected, connected graph of n nodes labeled from 0 to n - 1. This algorithm can be used on both weighted and unweighted graphs. For example, consider below graph. Problem: Given the adjacency list and number of vertices and edges of a graph, the task is to represent the adjacency list for a directed graph. Naive Approach: The simplest approach is to find the shortest path between every pair of. Your Task: You don't have to take input. Cycle 6 -> 1 -> 2 -> 6. And each time, you pop a position at the front of the queue ,at the same time, push all the positions which can be reached by 1 step and hasn't been visited yet. Count all possible paths from source to destination in given 3D array. Example 1: Input: n = 3, edges. The distance between the two nodes i and j will be equal to dist (i, LCA (i, j)) + dist (j, LCA (i. Complete the function Kdistance () that accepts root node and k as parameter and return the value of the nodes that are at a distance k from the root. Shortest Path by Removing K walls. Num1 and Num2 are prime numbers. Given an unweighted graph, a source, and a destination, we need to find the shortest path from source to destination in the graph in the most optimal way. This gives the shortest path. 1 ≤ cost of cells ≤ 1000. , they are. used to compare two pairs. util. There are n stairs, and a person is allowed to jump next stair, skip one stair or skip two stairs. Now, there arises two different cases: Explanation: The shortest path is: 3 → 1 → 5 → 2 → 6. An Efficient Solution doesn’t require the generation of subsequences. Note: You can only move left, right, up and down, and only through cells that contain 1. Read. Given a square maze containing positive numbers, find all paths from a corner cell (any of the extreme four corners) to the middle cell. Sum of weights of path between nodes 1 and 3 = 5. For example, lcs of “geek” and “eke” is “ek”. After the shortest distances have been calculated, you can print the shortest path to a node x by starting from x and following parent pointers p [x], p [p [x]], etc, until you hit the source. 0 <= m <= n* (n-1), where m is the total number of Edges in the. Medium Accuracy: 32. Output : 3. when we come across ” . Given two strings X and Y, print the shortest string that has both X and Y as subsequences. Expected Time Complexity: O( log(n) ) Expected Auxiliary Space: O(1) Constraints:Given two strings, find the length of longest subsequence present in both of them. Complete the function shortestPath () which takes integers x and y as input parameters and returns the length of the shortest path from x to y. The graph is represented as an adjacency matrix of. The allowed moves are moving a cell left (L), right (R), up (U), and. Print root to leaf paths without using recursion. Approach: The simplest way to solve this problem is to use the LCA (Lowest Common Ancestor) of a binary tree. It is practically infeasible as Operating System may. There are 3 different paths from 2 to 3. 0 <= m <= 105. Complexity Analysis: Time Complexity: O(V+E) where V is number of vertices in the graph and E is number of edges in the graph. Approach: The idea is to use topological sorting, Follow the steps mentioned below to solve the problem: Represent the sequences in the ‘ arr [] [] ’ by a directed graph and find its topological sort order. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. add the substring to the list. The red cells are blocked, white cell denotes the path and the green cells are not blocked cells. Dijkstra. The rat can move only in two directions: forward and down. If the path exists between two nodes then Next [u] [v] = v. We can start from m [n-1] [m-1] as the base case with the length of longest increasing subsequence be 1, moving upwards and leftwards updating the value of cells. e. Expected time complexity is O (V+E). Initially, the cost of the shortest path is an overestimate, likened to a stretched-out spring. Here adj [i] contains vectors of size 2,Frequencies of Limited Range Array Elements. in order to generate different substring. It is based on the idea that there is a cycle in a graph only if there is a back edge [i. Consider the following directed graph. The shortest-path tree is built up, edge by edge. Follow the given steps to solve the problem: Let the array have R rows. Given a maze in the form of a binary rectangular matrix, find the shortest path’s length in the maze from a given source to a given destination. Remove nodes from Binary Tree such that sum of all remaining root-to-leaf paths is atleast K. The following code prints the shortest distance from the source_node to all the other nodes in the graph. Your Task: You don't need to read or print anything. Return d (s) as the shortest path from s to t. , there is a directed edge from node i to node graph[i][j]). Your task is to complete the function findShortestPath () which takes matrix as input parameter and return an integer denoting the shortest path. Hard Accuracy: 50. Given a weighted, directed and connected graph of V vertices and E edges, Find the shortest distance of all the vertex's from the source vertex S. Here adj[i] contains vectors of size 2,Euler first introduced graph theory to solve this problem. Given adjacency list adj as input parameters .