# Programming problems related to C++ Dijkstra algorithm

#include<iostream>
using namespace std;
#define N 10000
#define Linit 11

void Dijstra(int edges[][Linit], int origin, int* dist, int* path);

int main()
{
char str[200] = {'1','-','4',',','1','-','6',',','2','-','4',',','2','-','6',',','3','-','5',',','3','-','6',',','4','-','5',',','5','-','6'};
int origin = 1;
int target = 3;

int dist[Linit] = { N };	//The shortest path length from the original node to each Vi endpoint
int path[Linit] = { -1 };	//Save the previous node of Vi on the shortest path from the original node to the node Vi
//int node_num = 0; 				// Number of nodes in the graph
int x = 0, y = 0;

for (int i = 0; i < Linit; i++)
{
for (int j = 0; j < Linit; j++)
{
if (i == j)
{
edges[i][j] = 0;
}
else
{
edges[i][j] = N;
}

}
}

/*cout << "Origin and destination: "<< endl;
cin >> origin >> target;
cout << "Please enter a vertex-vertex string: "<< endl;
cin >> str;*/

cout << origin << "to" << target << ":" << str << endl;

//edges[][] initialization
for (int i = 0; str[i] != '\0'; i += 4)
{
x = str[i] - '0';
y = str[i + 2] - '0';
edges[x][y] = 1;
edges[y][x] = 1;
//cout << "x=" << x  <<  "y= " << y << endl;
}

Dijstra(edges, origin, dist, path);

cout << target << " ";
for (int i = target; path[i] != origin; i = path[i])
{
cout << path[i] << " ";
}
cout << origin << endl;
return 0;
}

void Dijstra(int edges[][Linit], int origin, int* dist, int* path)
{
int set[N]; //t[i] == 1, indicating that the node is included in the shortest path set
int min, i, j, u;

//Initialization

for (int i = 0; i < Linit; i++)
{
//dist[] initialization
dist[i] = edges[origin][i];
set[i] = 0;
//path[] initialization

if (edges[origin][i] < N && i != origin)
{
path[i] = origin;
}
else
{
path[i] = -1;
}
}

set[origin] = 1;
path[origin] = -1;

//Start of critical operation
for (i = 1; i < Linit; i++)
{
min = N;
for (j = 1; j < Linit; j++)
{
if (set[j] == 0 && dist[j] < min)
{
u = j;
min = dist[j];
}
}
set[u] = 1; //Merge the selected vertices into the shortest path

for (j = 1; j < Linit; j++)
{
if (set[j] == 0 && dist[u] + edges[u][j] < dist[j])
{
dist[j] = dist[u] + edges[u][j];
path[j] = u;
}
}
}
}


Output results:

Reference to High Score Notes on Data Structure

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Hello! This is the first welcome page you've shown using the Markdown editor. If you want to learn how to use the Markdown editor, you can read this article carefully to learn the basic grammar of Markdown.

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We've expanded the functionality and grammar support of the Markdown editor. In addition to the standard Markdown editor functionality, we've added the following new features to help you blog with it:

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Bold: Ctrl/Command + B
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Replace: Ctrl/Command + G

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Enter # twice and press space to generate a level 2 title.
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Emphasis Text Emphasis Text

Bold Text Bold Text

Markup Text

Delete Text

Reference Text

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Picture:

Pictures with dimensions:

Centered picture:

Centered and sized picture:

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go Blog Settings Page, select a code highlight style that you like, and show the same highlighted code below.

// An highlighted block
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• project
• project
• project
1. Item 1
2. Item 2
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Use: ------------- Left
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Markdown Text-to- HTML conversion tool Authors John Luke

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A text with footnotes. 2

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You can use Rendering LaTeX Mathematical Expressions KaTeX:

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• About Gantt Grammar, Reference here,

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You can use UML diagrams for rendering. Mermaid . For example, a sequence diagram is generated below:

This will result in a flowchart.

• About Mermaid syntax, reference here,

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We will still support flowchart flowcharts:

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### export

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