alr

2026-05-18 20:03:32 +05:30
commit 796dec1af7
17 changed files with 474 additions and 0 deletions
@@ -0,0 +1,118 @@
+import java.util.*;
+
+public class galeShapley {
+
+    static int N;
+
+    static int womanCharToIndex(char ch) {
+        return ch - 'W';
+    }
+
+    static int manCharToIndex(char ch) {
+        return ch - 'A';
+    }
+
+    static boolean prefers(int[][] womenPref, int w, int m, int m1) {
+        for (int i = 0; i < N; i++) {
+            if (womenPref[w][i] == m)
+                return true;
+
+            if (womenPref[w][i] == m1)
+                return false;
+        }
+        return false;
+    }
+
+    static void galeShapley(int[][] womenPref, int[][] menPref) {
+
+        int[] womenPartner = new int[N];
+        boolean[] menFree = new boolean[N];
+        int[] nextProposal = new int[N];
+
+        Arrays.fill(womenPartner, -1);
+        Arrays.fill(menFree, true);
+
+        int freeCount = N;
+
+        while (freeCount > 0) {
+
+            int m = -1;
+
+            for (int i = 0; i < N; i++) {
+                if (menFree[i] && nextProposal[i] < N) {
+                    m = i;
+                    break;
+                }
+            }
+
+            if (m == -1)
+                break;
+
+            int w = menPref[m][nextProposal[m]];
+            nextProposal[m]++;
+
+            if (womenPartner[w] == -1) {
+                womenPartner[w] = m;
+                menFree[m] = false;
+                freeCount--;
+            } else {
+
+                int m1 = womenPartner[w];
+
+                if (prefers(womenPref, w, m, m1)) {
+                    womenPartner[w] = m;
+                    menFree[m] = false;
+                    menFree[m1] = true;
+                }
+            }
+        }
+
+        System.out.println("\nStable matching result:");
+
+        for (int i = 0; i < N; i++) {
+            System.out.println(
+                "Woman " + (char)('W' + i) +
+                " is matched with Man " + (char)('A' + womenPartner[i])
+            );
+        }
+    }
+
+    public static void main(String[] args) {
+
+        Scanner sc = new Scanner(System.in);
+
+        System.out.print("Enter number of pairs (n): ");
+        N = sc.nextInt();
+
+        int[][] menPref = new int[N][N];
+        int[][] womenPref = new int[N][N];
+
+        System.out.println("\nEnter Men's Preference Lists:");
+
+        for (int i = 0; i < N; i++) {
+
+            System.out.println("Preferences of Man " + (char)('A' + i) + ":");
+
+            for (int j = 0; j < N; j++) {
+                char ch = sc.next().charAt(0);
+                menPref[i][j] = womanCharToIndex(ch);
+            }
+        }
+
+        System.out.println("\nEnter Women's Preference Lists:");
+
+        for (int i = 0; i < N; i++) {
+
+            System.out.println("Preferences of Woman " + (char)('W' + i) + ":");
+
+            for (int j = 0; j < N; j++) {
+                char ch = sc.next().charAt(0);
+                womenPref[i][j] = manCharToIndex(ch);
+            }
+        }
+
+        galeShapley(womenPref, menPref);
+
+        sc.close();
+    }
+}