Create Longest_Increasing_Subsequence.c

C/Longest_Increasing_Subsequence.c

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+#include <stdio.h>
+
+// Function to find the length of the longest increasing subsequence
+int lengthOfLIS(int arr[], int n) {
+    int dp[n];  // dp[i] will store the length of LIS ending at arr[i]
+    int maxLength = 1; // Minimum LIS length is 1 (each element itself)
+
+    // Initialize each dp[i] to 1 (each element is an increasing subsequence)
+    for (int i = 0; i < n; i++) {
+        dp[i] = 1;
+    }
+
+    // Compute LIS for each element
+    for (int i = 1; i < n; i++) {
+        for (int j = 0; j < i; j++) {
+            if (arr[i] > arr[j]) { // Check if arr[i] can extend LIS ending at arr[j]
+                dp[i] = (dp[i] > dp[j] + 1) ? dp[i] : (dp[j] + 1);
+            }
+        }
+        maxLength = (maxLength > dp[i]) ? maxLength : dp[i];
+    }
+
+    return maxLength;
+}
+
+int main() {
+    int arr[] = {10, 9, 2, 5, 3, 7, 101, 18};
+    int n = sizeof(arr) / sizeof(arr[0]);
+
+    printf("Length of Longest Increasing Subsequence: %d\n", lengthOfLIS(arr, n));
+
+    return 0;
+}