Create: 0416-partition-equal-subset-sum.c

Author: mdmzfzl

Diff for: c/0416-partition-equal-subset-sum.c

@@ -0,0 +1,28 @@
+bool canPartition(int* nums, int numsSize) {
+    int totalSum = 0;
+    for (int i = 0; i < numsSize; i++) {
+        totalSum += nums[i];
+    }
+    
+    if (totalSum % 2 != 0) {
+        return false; // If the total sum is odd, we cannot partition equally
+    }
+    
+    int targetSum = totalSum / 2;
+    bool dp[targetSum + 1]; // dp[i] represents whether a subset with sum i is possible
+    
+    // Initialize dp array
+    for (int i = 0; i <= targetSum; i++) {
+        dp[i] = false;
+    }
+    dp[0] = true; // Empty subset can always achieve sum 0
+    
+    // Dynamic programming approach
+    for (int i = 0; i < numsSize; i++) {
+        for (int j = targetSum; j >= nums[i]; j--) {
+            dp[j] = dp[j] || dp[j - nums[i]];
+        }
+    }
+    
+    return dp[targetSum];
+}