Merge pull request TheAlgorithms#62 from dhruvsaini/patch-4

Create longest_increasing_subsequence.py
icn5 · Jan 3, 2017 · 6f9d65f · 6f9d65f
2 parents bdde826 + 436edf3
commit 6f9d65f
Showing 1 changed file with 12 additions and 0 deletions.
diff --git a/dynamic_programming/longest_increasing_subsequence.py b/dynamic_programming/longest_increasing_subsequence.py
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+"""
+The Longest Increasing Subsequence (LIS) problem is to find the length of the longest subsequence of a given sequence such that all elements of the subsequence are sorted in increasing order. For example, the length of LIS for {10, 22, 9, 33, 21, 50, 41, 60, 80} is 6 
+"""
+def LIS(arr):
+    n= len(arr)
+    lis = [1]*n
+
+    for i in range(1, n):
+        for j in range(0, i):
+            if arr[i] > arr[j] and lis[i] <= lis[j]:
+                lis[i] = lis[j] + 1
+    return max(lis)