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Given two strings s1 and s2, find the length of their longest common substring. Implement the following function in Python:
def longest_common_substring(s1, s2):
# Your code here
# Your code here
string1 = "ABCD"
string2 = "ACDF"
print(longest_common_substring(string1, string2))
string2 = "ACDF"
print(longest_common_substring(string1, string2))
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Given two strings s1 and s2, find the length of their longest common s...
The function longest_common_substring should return the length of the longest common substring between the strings "ABCD" and "ACDF". The longest common substring is "CD", which has a length of 2.
Most Upvoted Answer
Given two strings s1 and s2, find the length of their longest common s...
Understanding the Problem
To find the longest common substring between two strings, we need to identify the longest sequence of characters that appears in both strings consecutively.
Example Strings
- string1: "ABCD"
- string2: "ACDF"
Identifying Common Substrings
We can analyze the characters in both strings to find matches:
- "A" is common in both strings.
- "C" is also common in both strings.
- However, "B" and "D" do not have consecutive matches.
Finding the Longest Common Substring
The common substrings between "ABCD" and "ACDF" are:
- "A" (length 1)
- "C" (length 1)
The longest common substring (consecutively appearing in both) is "AC", which has a length of 2.
Implementing the Function
Here is a simple implementation of the function to find the longest common substring:
python
def longest_common_substring(s1, s2):
m, n = len(s1), len(s2)
max_length = 0
# Create a 2D array to store lengths of longest common suffixes
dp = [[0] * (n + 1) for _ in range(m + 1)]
for i in range(1, m + 1):
for j in range(1, n + 1):
if s1[i - 1] == s2[j - 1]:
dp[i][j] = dp[i - 1][j - 1] + 1
max_length = max(max_length, dp[i][j])
else:
dp[i][j] = 0
return max_length
# Example usage
string1 = "ABCD"
string2 = "ACDF"
print(longest_common_substring(string1, string2))
Conclusion
The length of the longest common substring between "ABCD" and "ACDF" is 2, corresponding to the substring "AC". Therefore, the correct answer is option 'B'.
To find the longest common substring between two strings, we need to identify the longest sequence of characters that appears in both strings consecutively.
Example Strings
- string1: "ABCD"
- string2: "ACDF"
Identifying Common Substrings
We can analyze the characters in both strings to find matches:
- "A" is common in both strings.
- "C" is also common in both strings.
- However, "B" and "D" do not have consecutive matches.
Finding the Longest Common Substring
The common substrings between "ABCD" and "ACDF" are:
- "A" (length 1)
- "C" (length 1)
The longest common substring (consecutively appearing in both) is "AC", which has a length of 2.
Implementing the Function
Here is a simple implementation of the function to find the longest common substring:
python
def longest_common_substring(s1, s2):
m, n = len(s1), len(s2)
max_length = 0
# Create a 2D array to store lengths of longest common suffixes
dp = [[0] * (n + 1) for _ in range(m + 1)]
for i in range(1, m + 1):
for j in range(1, n + 1):
if s1[i - 1] == s2[j - 1]:
dp[i][j] = dp[i - 1][j - 1] + 1
max_length = max(max_length, dp[i][j])
else:
dp[i][j] = 0
return max_length
# Example usage
string1 = "ABCD"
string2 = "ACDF"
print(longest_common_substring(string1, string2))
Conclusion
The length of the longest common substring between "ABCD" and "ACDF" is 2, corresponding to the substring "AC". Therefore, the correct answer is option 'B'.
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