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#include <stdio.h>
#include <stdlib.h>
#include <string.h>
int N, M;
#define inf 1000000001
typedef struct graphMatrix {
int** costMatrix;
} graphMatrix;
typedef struct nodeNDP {
int node;
int d;
int parent;
} nodeNDP;
graphMatrix readFile(const char* filename)
{
graphMatrix graph;
FILE* f = fopen(filename, "r");
fscanf(f, "%d %d", &N, &M);
graph.costMatrix = (int**)malloc(sizeof(int*) * N);
int i, j;
for (i = 0; i < N; i++) {
graph.costMatrix[i] = (int*)malloc(sizeof(int) * N);
for (j = 0; j < N; j++) {
if (i == j) {
graph.costMatrix[i][j] = 0;
continue;
}
graph.costMatrix[i][j] = inf;
}
}
short A, B, C;
for (i = 0; i < M; i++) {
fscanf(f, "%hd %hd %hd", &A, &B, &C);
graph.costMatrix[A - 1][B - 1] = C;
}
fclose(f);
return graph;
}
nodeNDP* dijkstra(graphMatrix graph, int source)
{
nodeNDP* NDP = (nodeNDP*)malloc(sizeof(nodeNDP) * (N + 1));
int visited[5000] = {0};
for (int i = 1; i <= N; i++) {
NDP[i].node = i;
NDP[i].d = inf;
NDP[i].parent = -1;
}
source--;
NDP[source].d = 0;
int count = 1;
int min;
int i;
while (count <= N - 1) {
for (i = 0; i < N; i++) {
if (source != i && graph.costMatrix[source][i] != inf && visited[i] == 0) {
int distance = NDP[source].d + graph.costMatrix[source][i];
if (distance < NDP[i].d) {
NDP[i].d = distance;
NDP[i].parent = source;
}
}
}
visited[source] = 1;
count++;
min = inf;
for (i = 1; i <= N; i++) {
if (min > NDP[i].d && visited[i] == 0) {
min = NDP[i].d;
source = i;
}
}
}
return NDP;
}
int main()
{
graphMatrix graph = readFile("dijkstra.in");
nodeNDP* NDP = dijkstra(graph, 1);
FILE* f = fopen("dijkstra.out", "w");
for (int i = 1; i < N; i++) {
if (NDP[i].d == inf) {
fprintf(f, "%d ", 0);
} else {
fprintf(f, "%d ", NDP[i].d);
}
}
for (int i = 0; i < N; i++) {
free(graph.costMatrix[i]);
}
free(graph.costMatrix);
free(NDP);
fclose(f);
return 0;
}