HW8 Complete

TestPrep/main.py

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+
+
+def dpLCS(s1, s2):
+    letters = [[0 for i in range(len(s2)+1)] for j in range(len(s1)+1)]
+    for i in range(len(s1)+1):
+        for j in range(len(s2)+1):
+            if i == 0 or j == 0:
+                letters[i][j]=0
+            elif s1[i-1] == s2[j-1]:
+                letters[i][j] = letters[i-1][j-1]+1
+            else:
+                letters[i][j] = max(letters[i-1][j], letters[i][j-1])
+
+    return letters[len(s1)][len(s2)]
+
+def LCS(s1, s2):
+    longest = 0
+    if len(s1) == 0 or len(s2) == 0:
+        return longest
+
+    if(s1[0] == s2[0]):
+        longest += 1
+        longest += LCS(s1[1:], s2[1:])
+        return longest
+    longest += max(LCS(s1[1:], s2), LCS(s1, s2[1:]))
+
+    return longest
+
+def dpChange(c):
+    S = [0]*(c+1)
+    S[0] = 0
+    for i in range (1,c+1):
+        x = S[i-1]
+        if i-7 >= 0:
+            x=min(S[i-7],x)
+        if i -27 >= 0:
+            x = min(S[i-27], x)
+        S[i] = x+1
+    return S[c]
+
+def main():
+    print(LCS("AGGTAB", "GXTXAYB"))
+    print (dpLCS("AGGTAB","GXTXAYB"))
+    print(dpChange(10))
+main()