Naloga 4

naloga4/src/Graf.java

@@ -22,9 +22,74 @@ public class Graf {
     }
 
     void grobaSila() {
+        int n = nodes.length;
+        int m = 0;
 
+        for (MaxHeap<Node>.HeapNode node : nodes) {
+            m += node.value.neighbors.size();
+        }
+        m /= 2;
+
+        int[][] connections = new int[m][2];
+        boolean[][] seen = new boolean[n][n];
+        int idx = 0;
+        for (int i = 0; i < n; i++) {
+            for (int j = 0; j < nodes[i].value.neighbors.size(); j++) {
+                int neighbor = nodes[i].value.neighbors.get(j).value.id;
+                if (!seen[i][neighbor]) {
+                    connections[idx][0] = i;
+                    connections[idx][1] = neighbor;
+                    seen[i][neighbor] = seen[neighbor][i] = true;
+                    idx++;
+                }
+            }
+        }
+
+        int bestCover = getBestCover(n, connections);
+
+        for (int i = 0; i < n; i++) {
+            if (((bestCover >> i) & 1) != 0) {
+                System.out.print(i + " ");
+            }
+        }
+        System.out.println();
     }
 
+    private static int getBestCover(int n, int[][] connections) {
+        int bestCover = -1;
+        int minSize = n + 1;
+        long minPowerSum = Long.MAX_VALUE;
+
+        int maxMask = 1 << n;
+        for (int mask = 0; mask < maxMask; mask++) {
+            boolean cover = true;
+            for (int[] e : connections) {
+                int u = e[0], v = e[1];
+                if (((mask >> u) & 1) == 0 && ((mask >> v) & 1) == 0) {
+                    cover = false;
+                    break;
+                }
+            }
+            if (!cover) continue;
+
+            int size = Integer.bitCount(mask);
+            long powerSum = 0;
+            for (int i = 0; i < n; i++) {
+                if (((mask >> i) & 1) != 0) {
+                    powerSum += 1L << i;
+                }
+            }
+
+            if (size < minSize || (size == minSize && powerSum < minPowerSum)) {
+                minSize = size;
+                minPowerSum = powerSum;
+                bestCover = mask;
+            }
+        }
+        return bestCover;
+    }
+
+
     void pozresni() {
         MaxHeap<Node> heap = new MaxHeap<>(this.heap);
         for (var heapNode : nodes) {
@@ -50,18 +115,15 @@ public class Graf {
 
             used.add(node.id);
         }
-
-        print(used);
-    }
-
-    private void print(ArrList<Integer> arr) {
-        int idxStart = arr.size() > 100 ? arr.size() - 100 : 0;
-        for (int i = idxStart; i < arr.size(); i++) {
-            System.out.print(arr.get(i));
-            if (i < arr.size() - 1) System.out.print(" ");
+        
+        int idxStart = used.size() > 100 ? used.size() - 100 : 0;
+        for (int i = idxStart; i < used.size(); i++) {
+            System.out.print(used.get(i));
+            if (i < used.size() - 1) System.out.print(" ");
         }
         System.out.println();
     }
+
 }
 
 class Node implements Comparable<Node> {
@@ -82,11 +144,6 @@ class Node implements Comparable<Node> {
         }
         return deg;
     }
-
-    @Override
-    public String toString() {
-        return "Node [id=" + id + ", degree=" + degree + "]";
-    }
 }
 
 class MaxHeap<T extends Comparable<T>> {
@@ -103,11 +160,6 @@ class MaxHeap<T extends Comparable<T>> {
         public int compareTo(HeapNode o) {
             return this.value.compareTo(o.value);
         }
-
-        @Override
-        public String toString() {
-            return this.value.toString();
-        }
     }
 
     final private ArrList<HeapNode> arr;
@@ -208,15 +260,6 @@ class MaxHeap<T extends Comparable<T>> {
 
         return max.value;
     }
-
-    @Override
-    public String toString() {
-        StringBuilder sb = new StringBuilder();
-        for (int i = 0; i < arr.size(); i++) {
-            sb.append(arr.get(i)).append(" ");
-        }
-        return sb.toString();
-    }
 }
 
 class ArrList<T> {
@@ -275,13 +318,4 @@ class ArrList<T> {
     public boolean isEmpty() {
         return size == 0;
     }
-
-    @Override
-    public String toString() {
-        StringBuilder sb = new StringBuilder();
-        for (int i = 0; i < size; i++) {
-            sb.append(array[i]).append(" ");
-        }
-        return sb.toString();
-    }
 }

naloga4/src/Naloga4.java

@@ -12,8 +12,7 @@ public class Naloga4 {
         for (int[] povezava : povezave) {
             g.povezi(povezava[0], povezava[1]);
         }
-        g.pozresni();
-        g.pozresni();
+        g.grobaSila();
     }
 }