Edit Distance
Problem Statement
Given strings s1 and s2, we need to transform s1 into s2 by deleting, inserting, or replacing characters. Write a function to calculate the count of the minimum number of edit operations.
Example 1:
Input: s1 = "bat"
s2 = "but"
Output: 1
Explanation: We just need to replace 'a' with 'u' to transform s1 to s2.
Example 2:
Input: s1 = "abdca"
s2 = "cbda"
Output: 2
Explanation: We can replace first 'a' with 'c' and delete second 'c'.
Example 3:
Input: s1 = "passpot"
s2 = "ppsspqrt"
Output: 3
Explanation: Replace 'a' with 'p', 'o' with 'q', and insert 'r'.
Constraints:
0 <= s1.length, s2.length <= 500s1ands2consist of lowercase English letters.
Try it yourself
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🎨 Explain it visually
Build the mental picture, not memorization.
I just read a lesson on **Edit Distance** (DSA) and want to truly understand it. Explain Edit Distance from first principles using ONE vivid real-world analogy and a visual mental model — draw it as ASCII art or a clear step-by-step diagram — with a concrete example using real numbers. Then ask me one question to check I got the mental picture, and wait for my reply. If you're unsure or a claim isn't standard, say so and reason from first principles instead of guessing.
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Socratic — adapts to where you're stuck.
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Quiz me on **Edit Distance** with 5 questions, easy to tricky, ONE at a time. Tell me if each answer is right; at the end, explain clearly what I got wrong and why. If you're unsure or a claim isn't standard, say so and reason from first principles instead of guessing.
🧠 Make it stick
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Help me remember **Edit Distance** for the long term: give the one-sentence intuition, a memorable hook/mnemonic, a tiny worked example, and 3 active-recall flashcards (Q -> A). If you're unsure or a claim isn't standard, say so and reason from first principles instead of guessing.