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November 23rd, 2019, 10:33 AM
#1
convert c++ to java
Code:
#include <stdio.h>
#include <stdlib.h>
#include <limits.h>
#include<stdbool.h>
// // A structure to represent a node in adjacency list
struct AdjListNode
{
int dest;
int weight;
struct AdjListNode *next;
};
// A structure to represent an adjacency liat
struct AdjList
{
struct AdjListNode *head; // pointer to head node of list
};
// A structure to represent a graph. A graph is an array of adjacency lists.
// Size of array will be V (number of vertices in graph)
struct Graph
{
int V;
struct AdjList *array;
};
// A utility function to create a new adjacency list node
struct AdjListNode *
newAdjListNode (int dest, int weight)
{
struct AdjListNode *newNode =
(struct AdjListNode *) malloc (sizeof (struct AdjListNode));
newNode->dest = dest;
newNode->weight = weight;
newNode->next = NULL;
return newNode;
}
// A utility function that creates a graph of V vertices
struct Graph *
createGraph (int V)
{
struct Graph *graph = (struct Graph *) malloc (sizeof (struct Graph));
graph->V = V;
// Create an array of adjacency lists. Size of array will be V
graph->array = (struct AdjList *) malloc (V * sizeof (struct AdjList));
// Initialize each adjacency list as empty by making head as NULL
for (int i = 0; i < V; ++i)
graph->array[i].head = NULL;
return graph;
}
// Adds an edge to an undirected graph
void
addEdge (struct Graph *graph, int src, int dest, int weight)
{
// Add an edge from src to dest. A new node is added to the adjacency
// list of src. The node is added at the begining
struct AdjListNode *newNode = newAdjListNode (dest, weight);
newNode->next = graph->array[src].head;
graph->array[src].head = newNode;
// Since graph is undirected, add an edge from dest to src also
newNode = newAdjListNode (src, weight);
newNode->next = graph->array[dest].head;
graph->array[dest].head = newNode;
}
// Structure to represent a min heap node
struct MinHeapNode
{
int v;
int dist;
};
// Structure to represent a min heap
struct MinHeap
{
int size; // Number of heap nodes present currently
int capacity; // Capacity of min heap
int *pos; // This is needed for decreaseKey()
struct MinHeapNode **array;
};
// A utility function to create a new Min Heap Node
struct MinHeapNode *
newMinHeapNode (int v, int dist)
{
struct MinHeapNode *minHeapNode =
(struct MinHeapNode *) malloc (sizeof (struct MinHeapNode));
minHeapNode->v = v;
minHeapNode->dist = dist;
return minHeapNode;
}
// A utility function to create a Min Heap
struct MinHeap *
createMinHeap (int capacity)
{
struct MinHeap *minHeap =
(struct MinHeap *) malloc (sizeof (struct MinHeap));
minHeap->pos = (int *) malloc (capacity * sizeof (int));
minHeap->size = 0;
minHeap->capacity = capacity;
minHeap->array =
(struct MinHeapNode **) malloc (capacity * sizeof (struct MinHeapNode *));
return minHeap;
}
// A utility function to swap two nodes of min heap. Needed for min heapify
void
swapMinHeapNode (struct MinHeapNode **a, struct MinHeapNode **b)
{
struct MinHeapNode *t = *a;
*a = *b;
*b = t;
}
// A standard function to heapify at given idx
// This function also updates position of nodes when they are swapped.
// Position is needed for decreaseKey()
void
minHeapify (struct MinHeap *minHeap, int idx)
{
int smallest, left, right;
smallest = idx;
left = 2 * idx + 1;
right = 2 * idx + 2;
if (left < minHeap->size &&
minHeap->array[left]->dist < minHeap->array[smallest]->dist)
smallest = left;
if (right < minHeap->size &&
minHeap->array[right]->dist < minHeap->array[smallest]->dist)
smallest = right;
if (smallest != idx)
{
// The nodes to be swapped in min heap
struct MinHeapNode *smallestNode = minHeap->array[smallest];
struct MinHeapNode *idxNode = minHeap->array[idx];
// Swap positions
minHeap->pos[smallestNode->v] = idx;
minHeap->pos[idxNode->v] = smallest;
// Swap nodes
swapMinHeapNode (&minHeap->array[smallest], &minHeap->array[idx]);
minHeapify (minHeap, smallest);
}
}
// A utility function to check if the given minHeap is ampty or not
int
isEmpty (struct MinHeap *minHeap)
{
return minHeap->size == 0;
}
// Standard function to extract minimum node from heap
struct MinHeapNode *
extractMin (struct MinHeap *minHeap)
{
if (isEmpty (minHeap))
return NULL;
// Store the root node
struct MinHeapNode *root = minHeap->array[0];
// Replace root node with last node
struct MinHeapNode *lastNode = minHeap->array[minHeap->size - 1];
minHeap->array[0] = lastNode;
// Update position of last node
minHeap->pos[root->v] = minHeap->size - 1;
minHeap->pos[lastNode->v] = 0;
// Reduce heap size and heapify root
--minHeap->size;
minHeapify (minHeap, 0);
return root;
}
// Function to decreasy dist value of a given vertex v. This function
// uses pos[] of min heap to get the current index of node in min heap
void
decreaseKey (struct MinHeap *minHeap, int v, int dist)
{
// Get the index of v in heap array
int i = minHeap->pos[v];
// Get the node and update its dist value
minHeap->array[i]->dist = dist;
// Travel up while the complete tree is not hepified.
// This is a O(Logn) loop
while (i && minHeap->array[i]->dist < minHeap->array[(i - 1) / 2]->dist)
{
// Swap this node with its parent
minHeap->pos[minHeap->array[i]->v] = (i - 1) / 2;
minHeap->pos[minHeap->array[(i - 1) / 2]->v] = i;
swapMinHeapNode (&minHeap->array[i], &minHeap->array[(i - 1) / 2]);
// move to parent index
i = (i - 1) / 2;
}
}
// A utility function to check if a given vertex
// 'v' is in min heap or not
bool
isInMinHeap (struct MinHeap *minHeap, int v)
{
if (minHeap->pos[v] < minHeap->size)
return true;
return false;
}
// A utility function used to print the solution
void
printArr (int dist[], int n)
{
printf ("Vertex Distance from Source\n");
for (int i = 0; i < n; ++i)
printf ("%d \t\t %d\n", i, dist[i]);
}
// The main function that calulates distances of shortest paths from src to all
// vertices. It is a O(ELogV) function
void
dijkstra (struct Graph *graph, int src)
{
int V = graph->V; // Get the number of vertices in graph
int dist[V]; // dist values used to pick minimum weight edge in cut
// minHeap represents set E
struct MinHeap *minHeap = createMinHeap (V);
// Initialize min heap with all vertices. dist value of all vertices
for (int v = 0; v < V; ++v)
{
dist[v] = INT_MAX;
minHeap->array[v] = newMinHeapNode (v, dist[v]);
minHeap->pos[v] = v;
}
// Make dist value of src vertex as 0 so that it is extracted first
minHeap->array[src] = newMinHeapNode (src, dist[src]);
minHeap->pos[src] = src;
dist[src] = 0;
decreaseKey (minHeap, src, dist[src]);
// Initially size of min heap is equal to V
minHeap->size = V;
// In the followin loop, min heap contains all nodes
// whose shortest distance is not yet finalized.
while (!isEmpty (minHeap))
{
// Extract the vertex with minimum distance value
struct MinHeapNode *minHeapNode = extractMin (minHeap);
int u = minHeapNode->v; // Store the extracted vertex number
// Traverse through all adjacent vertices of u (the extracted
// vertex) and update their distance values
struct AdjListNode *pCrawl = graph->array[u].head;
while (pCrawl != NULL)
{
int v = pCrawl->dest;
// If shortest distance to v is not finalized yet, and distance to v
// through u is less than its previously calculated distance
if (isInMinHeap (minHeap, v) && dist[u] != INT_MAX &&
pCrawl->weight + dist[u] < dist[v])
{
dist[v] = dist[u] + pCrawl->weight;
// update distance value in min heap also
decreaseKey (minHeap, v, dist[v]);
}
pCrawl = pCrawl->next;
}
}
// print the calculated shortest distances
printArr (dist, V);
}
// Driver program to test above functions
int
main ()
{
// create the graph given in above fugure
int V = 9;
struct Graph *graph = createGraph (V);
addEdge (graph, 0, 1, 4);
addEdge (graph, 0, 7, 8);
addEdge (graph, 1, 2, 8);
addEdge (graph, 1, 7, 11);
addEdge (graph, 2, 3, 7);
addEdge (graph, 2, 8, 2);
addEdge (graph, 2, 5, 4);
addEdge (graph, 3, 4, 9);
addEdge (graph, 3, 5, 14);
addEdge (graph, 4, 5, 10);
addEdge (graph, 5, 6, 2);
addEdge (graph, 6, 7, 1);
addEdge (graph, 6, 8, 6);
addEdge (graph, 7, 8, 7);
dijkstra (graph, 0);
return 0;
}
Last edited by Arjay; November 23rd, 2019 at 10:56 AM.
Reason: Added code tags
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