Longest Common Prefix in DSA Javascript - Practice Problems & Challenges

Challenge - 5 Problems

❓ Predict Output

intermediate

Output of Longest Common Prefix Function

What is the output of the following JavaScript code that finds the longest common prefix among strings?

DSA Javascript

function longestCommonPrefix(strs) {
  if (strs.length === 0) return "";
  let prefix = strs[0];
  for (let i = 1; i < strs.length; i++) {
    while (strs[i].indexOf(prefix) !== 0) {
      prefix = prefix.substring(0, prefix.length - 1);
      if (prefix === "") return "";
    }
  }
  return prefix;
}

console.log(longestCommonPrefix(["flower", "flow", "flight"]));

A "fl"

B "flow"

C "flight"

D "f"

💡 Hint

Think about the common starting letters in all strings.

The function compares the first string with each subsequent string, reducing the prefix until it matches the start of all strings. Here, "fl" is the longest common prefix.

❓ Predict Output

intermediate

Longest Common Prefix with Empty String in Array

What will the following code output when the input array contains an empty string?

DSA Javascript

function longestCommonPrefix(strs) {
  if (strs.length === 0) return "";
  let prefix = strs[0];
  for (let i = 1; i < strs.length; i++) {
    while (strs[i].indexOf(prefix) !== 0) {
      prefix = prefix.substring(0, prefix.length - 1);
      if (prefix === "") return "";
    }
  }
  return prefix;
}

console.log(longestCommonPrefix(["", "b", "c"]));

A ""

B "b"

C "c"

D TypeError

💡 Hint

An empty string means no common prefix can exist.

Since the first string is empty, the prefix starts empty and remains empty, so the output is an empty string.

❓ Predict Output

advanced

Output of Longest Common Prefix with Single Character Strings

What is the output of this code when all strings are single characters?

DSA Javascript

function longestCommonPrefix(strs) {
  if (strs.length === 0) return "";
  let prefix = strs[0];
  for (let i = 1; i < strs.length; i++) {
    while (strs[i].indexOf(prefix) !== 0) {
      prefix = prefix.substring(0, prefix.length - 1);
      if (prefix === "") return "";
    }
  }
  return prefix;
}

console.log(longestCommonPrefix(["a", "a", "a"]));

A ""

B "a"

C "aa"

D undefined

💡 Hint

All strings are the same single character.

Since all strings are "a", the longest common prefix is "a".

❓ Predict Output

advanced

Longest Common Prefix with No Common Prefix

What will this code output when there is no common prefix among the strings?

DSA Javascript

function longestCommonPrefix(strs) {
  if (strs.length === 0) return "";
  let prefix = strs[0];
  for (let i = 1; i < strs.length; i++) {
    while (strs[i].indexOf(prefix) !== 0) {
      prefix = prefix.substring(0, prefix.length - 1);
      if (prefix === "") return "";
    }
  }
  return prefix;
}

console.log(longestCommonPrefix(["dog", "racecar", "car"]));

A TypeError

B "d"

C ""

D "dog"

💡 Hint

Check if any starting letters match.

No strings share a common starting letter, so the longest common prefix is empty.

🧠 Conceptual

expert

Time Complexity of Longest Common Prefix Algorithm

What is the time complexity of the standard longest common prefix algorithm that compares characters of each string one by one until mismatch?

A O(1) constant time

B O(N^2) where N is the number of strings

C O(S) where S is the sum of all characters in all strings

D O(N * M) where N is number of strings and M is length of shortest string

💡 Hint

Consider how many characters are compared in the worst case.

The algorithm compares each character of the shortest string with all other strings, so complexity is O(N * M).

Practice

1. What does the Longest Common Prefix (LCP) problem ask you to find given an array of strings?

easy

A. The longest substring common to any two strings

B. The longest starting substring common to all strings

C. The longest ending substring common to all strings

D. The shortest substring unique to each string

Solution

1. Step 1: Understand the problem definition

   The Longest Common Prefix means the longest substring at the start of all strings that is the same.

2. Step 2: Compare options with definition

   Only The longest starting substring common to all strings matches this definition exactly.

3. Final Answer:

   The longest starting substring common to all strings -> Option B

4. Quick Check:

   Longest Common Prefix = longest starting substring [OK]

Hint: Focus on the start of strings for common prefix [OK]

Common Mistakes:

• Confusing prefix with suffix
• Looking for substring anywhere, not just start
• Thinking about unique substrings

2. Which of the following is the correct JavaScript syntax to start a function named longestCommonPrefix that takes an array strs as input?

easy

A. function: longestCommonPrefix(strs) { }

B. func longestCommonPrefix(strs) { }

C. function longestCommonPrefix(strs) { }

D. def longestCommonPrefix(strs):

Solution

1. Step 1: Recall JavaScript function syntax

   JavaScript functions start with the keyword 'function' followed by name and parentheses.

2. Step 2: Check each option

   function longestCommonPrefix(strs) { } matches JavaScript syntax. Options B and C are from other languages. function: longestCommonPrefix(strs) { } is invalid syntax.

3. Final Answer:

   function longestCommonPrefix(strs) { } -> Option C

4. Quick Check:

   JS function syntax = function name(params) { } [OK]

Hint: JS functions start with 'function' keyword [OK]

Common Mistakes:

• Using Python or other language syntax
• Adding colon after function name
• Using 'func' instead of 'function'

3. What will be the output of the following JavaScript code?

function longestCommonPrefix(strs) {
  if (strs.length === 0) return "";
  let prefix = strs[0];
  for (let i = 1; i < strs.length; i++) {
    while (strs[i].indexOf(prefix) !== 0) {
      prefix = prefix.substring(0, prefix.length - 1);
      if (prefix === "") return "";
    }
  }
  return prefix;
}

console.log(longestCommonPrefix(["flower", "flow", "flight"]));

medium

A. "fl"

B. "flow"

C. "f"

D. "flower"

Solution

1. Step 1: Initialize prefix and loop through strings

   Prefix starts as "flower". Check "flow": "flower" is not prefix, shorten to "flowe", then "flow", which matches start of "flow".

2. Step 2: Check next string "flight"

   "flow" is not prefix of "flight", shorten to "flo", no match; then "fl", which matches start of "flight".

3. Final Answer:

   "fl" -> Option A

4. Quick Check:

   Common prefix of flower, flow, flight = "fl" [OK]

Hint: Shrink prefix until it matches all strings start [OK]

Common Mistakes:

• Returning first string as prefix
• Not shrinking prefix correctly
• Confusing substring with suffix

4. Find the bug in this JavaScript function for Longest Common Prefix:

function longestCommonPrefix(strs) {
  if (!strs.length) return "";
  let prefix = strs[0];
  for (let i = 1; i <= strs.length; i++) {
    while (strs[i].indexOf(prefix) !== 0) {
      prefix = prefix.substring(0, prefix.length - 1);
      if (prefix === "") return "";
    }
  }
  return prefix;
}

medium

A. The for loop condition should be i < strs.length, not i <= strs.length

B. The prefix should be initialized as an empty string

C. The while loop condition should use includes() instead of indexOf()

D. The function should return prefix inside the for loop

Solution

1. Step 1: Check for loop bounds

   The for loop uses i <= strs.length, which causes out-of-bounds access at last iteration.

2. Step 2: Correct loop condition

   Changing to i < strs.length prevents accessing undefined strs[i].

3. Final Answer:

   The for loop condition should be i < strs.length, not i <= strs.length -> Option A

4. Quick Check:

   Loop index must be less than array length [OK]

Hint: Use < not <= for array indices [OK]

Common Mistakes:

• Off-by-one error in loop
• Wrong initialization of prefix
• Misusing string methods

5. Given an array of strings, how would you modify the Longest Common Prefix algorithm to handle the case where some strings are empty or the array is empty, ensuring no errors and correct output?

hard

A. Throw an error if any string is empty

B. Ignore empty strings and find prefix among non-empty strings only

C. Replace empty strings with the first string in the array before processing

D. Return an empty string immediately if the array is empty or any string is empty

Solution

1. Step 1: Check for empty array or empty strings

   If the array is empty or any string is empty, the longest common prefix must be empty string.

2. Step 2: Return empty string early

   Returning "" immediately avoids errors and matches expected output.

3. Final Answer:

   Return an empty string immediately if the array is empty or any string is empty -> Option D

4. Quick Check:

   Empty input means empty prefix [OK]

Hint: Check for empty inputs first [OK]

Common Mistakes:

• Not handling empty strings causing errors
• Ignoring empty strings and causing wrong prefix
• Throwing errors instead of returning empty string