From a5d93226408e179cdd8db4a6f5796985c23d2cf6 Mon Sep 17 00:00:00 2001
From: Kayode <a.kayode.a@gmail.com>
Date: Fri, 11 Nov 2022 15:45:21 +0100
Subject: [PATCH] Kayode-week9. Longest Common Subsequence

---
 week9/longest_common_subsequence.PY | 46 +++++++++++++++++++++++++++++
 week9/longest_common_subsequence.md | 14 +++++++++
 2 files changed, 60 insertions(+)
 create mode 100644 week9/longest_common_subsequence.PY
 create mode 100644 week9/longest_common_subsequence.md

diff --git a/week9/longest_common_subsequence.PY b/week9/longest_common_subsequence.PY
new file mode 100644
index 0000000..2ea7a6b
--- /dev/null
+++ b/week9/longest_common_subsequence.PY
@@ -0,0 +1,46 @@
+from itertools import combinations
+
+def LCS(strArr):
+    first= strArr[0]
+    second= strArr[1]
+    
+    firstsubs= []
+    secondsubs= []
+    for i in range(len(first)):
+        comb1= list(combinations(first, i))
+        comb2=[]
+        for j in comb1:
+            comb2.append(''.join(j))
+        firstsubs.extend(comb2)
+
+    
+    for i in range(len(second)):
+        comb3= list(combinations(second, i))
+        comb4=[]
+        for j in comb3:
+            comb4.append(''.join(j))
+        secondsubs.extend(comb4)
+    
+    firstsubs.remove('')
+    secondsubs.remove('')
+    if firstsubs == []:
+        firstsubs.append(first)
+    if secondsubs == []:
+        secondsubs.append(second)
+    
+    sublength= 0
+
+    for i in firstsubs:
+        for j in secondsubs:
+            if i == j:
+                if len(i) > sublength:
+                    sublength= len(i)
+    
+
+    print(sublength)
+
+
+
+# LCS(['bcacb', 'aacabb'])
+LCS(['a', 'aa'])
+# LCS(['c', 'b'])
\ No newline at end of file
diff --git a/week9/longest_common_subsequence.md b/week9/longest_common_subsequence.md
new file mode 100644
index 0000000..eb5cb7a
--- /dev/null
+++ b/week9/longest_common_subsequence.md
@@ -0,0 +1,14 @@
+---
+Author: Kayode
+---
+
+Longest Common Subsequence (LCS)
+Have the function LCS(strArr) take the strArr parameter being passed which will be an array of two strings containing only the characters {a,b,c} and have your program return the length of the longest common subsequence common to both strings. A common subsequence for two strings does not require each character to occupy consecutive positions within the original strings. For example: if strArr is ["abcabb","bacb"] then your program should return 3 because one longest common subsequence for these two strings is "bab" and there are also other 3-length subsequences such as "acb" and "bcb" but 3 is the longest common subsequence for these two strings.
+
+
+Examples
+Input: ["abc","cb"]
+Output: 1
+
+Input: ["bcacb","aacabb"
+Output: 3
\ No newline at end of file