Added Longest Increasing Subsequence code in Go

Longest_Increasing_Subsequence/LIS.go

@@ -0,0 +1,65 @@
+/* Problem Statement :
+To find the length of the Longest Increasing Subsequence of a given sequence, that is all the elements of the subsequence are in increasing sorted order.
+*/
+package main
+
+import "fmt"
+
+func Max(lis []int) (max int) {
+    max = lis[0]
+    for i := 1; i < len(lis); i++ {
+        if lis[i] > max {
+            max = lis[i]
+        }
+    }
+    return
+}
+
+func LIS(arr []int) {
+    length := len(arr)
+
+    if length == 0 {
+        return
+    }
+
+    // Slice to store the length of the LIS til some index
+    lis_arr := make([]int, length)
+    lis_arr[0] = 1
+
+    for i := 1; i < length; i++ {
+        lis_arr[i] = 1
+
+        // Computing LIS value in DP Bottom-up
+        for j := 0; j < i; j++ {
+            if ( arr[i] > arr[j] && lis_arr[i] < lis_arr[j] + 1) {
+                lis_arr[i] = lis_arr[j] + 1
+            }
+        }
+    }
+
+    fmt.Printf("Length of the Longest Increasing Subsequence : %d\n", Max(lis_arr))
+}
+
+func main() {
+    var n int
+    fmt.Println("Enter the size of the array : ")
+    fmt.Scan(&n)
+    fmt.Println("Enter the array elements : ")
+    arr := make([]int, n)
+
+    for i := 0; i < n; i++ {
+        fmt.Scan(&arr[i])
+    }
+
+    LIS(arr)
+}
+
+/* Sample Input :
+Enter the size of the array :
+8
+Enter the array elements :
+15 26 13 38 26 52 43 62
+
+Sample Output :
+Length of the Longest Increasing Subsequence : 5
+*/