From dcde2730060aa77641816073ca5e35ff21a605ff Mon Sep 17 00:00:00 2001
From: Vibha Mishra <88576743+vibhamishra07@users.noreply.github.com>
Date: Fri, 6 Oct 2023 23:45:32 +0530
Subject: [PATCH] Create wiXGks.js

Signed-off-by: Vibha Mishra <88576743+vibhamishra07@users.noreply.github.com>
---
 VdtTUY/wiXGks.js | 63 ++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 63 insertions(+)
 create mode 100644 VdtTUY/wiXGks.js

diff --git a/VdtTUY/wiXGks.js b/VdtTUY/wiXGks.js
new file mode 100644
index 0000000..8402568
--- /dev/null
+++ b/VdtTUY/wiXGks.js
@@ -0,0 +1,63 @@
+function myFunc(graph) {
+    const numCities = graph.length;
+    const numCombinations = 1 << numCities;
+    const dp = new Array(numCombinations).fill(null).map(() => new Array(numCities).fill(Number.MAX_SAFE_INTEGER));
+  
+
+    dp[1][0] = 0;
+  
+    for (let mask = 1; mask < numCombinations; mask += 2) {
+      for (let u = 1; u < numCities; u++) {
+        if ((mask & (1 << u)) !== 0) {
+          for (let v = 0; v < numCities; v++) {
+            if (u !== v && (mask & (1 << v)) !== 0) {
+              dp[mask][u] = Math.min(dp[mask][u], dp[mask ^ (1 << u)][v] + graph[v][u]);
+            }
+          }
+        }
+      }
+    }
+  
+
+    const mask = numCombinations - 1;
+    let u = 0;
+    let minCost = Number.MAX_SAFE_INTEGER;
+    for (let v = 1; v < numCities; v++) {
+      if (dp[mask][v] + graph[v][u] < minCost) {
+        minCost = dp[mask][v] + graph[v][u];
+        u = v;
+      }
+    }
+  
+
+    const path = [u];
+    maskWithoutU = mask ^ (1 << u);
+  
+    while (maskWithoutU !== 0) {
+      for (let v = 0; v < numCities; v++) {
+        if ((maskWithoutU & (1 << v)) !== 0 && dp[maskWithoutU][u] + graph[u][v] === dp[mask][u]) {
+          path.push(v);
+          maskWithoutU ^= (1 << v);
+          u = v;
+          break;
+        }
+      }
+    }
+ 
+    path.push(path[0]);
+  
+    return { path, cost: minCost };
+  }
+  
+
+  const graph = [
+    [0, 29, 20, 21],
+    [29, 0, 15, 17],
+    [20, 15, 0, 28],
+    [21, 17, 28, 0]
+  ];
+  
+  const result = myFunc(graph);
+  console.log('Optimal Path:', result.path); 
+  console.log('Optimal Cost:', result.cost); 
+