Minimum Window Substring in DSA C# - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is the goal of the Minimum Window Substring problem?

To find the smallest substring in a given string that contains all characters of another given string, including duplicates.

beginner

Which data structure is commonly used to track character counts in the Minimum Window Substring problem?

A dictionary or hash map is used to store the frequency of characters needed and to track characters found in the current window.

intermediate

Explain the sliding window technique in the context of Minimum Window Substring.

The sliding window technique uses two pointers to create a window over the string. The window expands to include required characters and contracts to find the smallest valid window containing all needed characters.

intermediate

Why do we need to check if the current window contains all required characters before trying to shrink it?

Because shrinking the window before it contains all required characters would lose some needed characters, making the substring invalid.

advanced

What is the time complexity of the optimal Minimum Window Substring solution using sliding window?

O(n + m), where n is the length of the source string and m is the length of the target string, because each character is visited at most twice by the two pointers.

What does the sliding window technique use to represent the current substring?

A Two pointers marking the start and end of the window

B A stack to store characters

C A queue to hold characters

D A single pointer moving through the string

The sliding window uses two pointers to mark the current substring's start and end.

In Minimum Window Substring, what do we do when the current window contains all required characters?

A Expand the window to the right immediately

B Try to shrink the window from the left to find a smaller valid window

C Reset the window to start from the next character

D Stop the algorithm

Once the window is valid, we try to shrink it from the left to find the smallest valid window.

Which data structure helps track how many characters are still needed in the current window?

A Linked list

B Array list

C Stack

D Hash map or dictionary

A hash map or dictionary tracks character counts needed and found.

What happens if we shrink the window too early before it contains all required characters?

A The window size remains the same

B We find a smaller valid window

C We lose some required characters and the window becomes invalid

D The algorithm finishes

Shrinking too early removes needed characters, making the window invalid.

What is the main advantage of using the sliding window approach for this problem?

A It reduces time complexity to linear time

B It uses less memory than other methods

C It sorts the string first

D It uses recursion

Sliding window reduces time complexity to O(n + m) by visiting characters at most twice.

Describe step-by-step how the sliding window technique solves the Minimum Window Substring problem.

Think about expanding and shrinking the window while checking character counts.

Explain why a hash map is essential in tracking characters for the Minimum Window Substring problem.

Consider how to know if the current substring has all needed characters.

Practice

1. What does the "Minimum Window Substring" problem ask you to find given two strings s and t?

easy

A. The substring of s that is exactly equal to t

B. The longest substring in s that does not contain any character of t

C. The number of times t appears in s

D. The smallest substring in s that contains all characters of t

Solution

1. Step 1: Understand the problem goal

   The problem asks to find the smallest part of string s that includes every character from string t at least once.

2. Step 2: Compare options with the problem goal

   The smallest substring in s that contains all characters of t matches the goal exactly. The longest substring without characters from t, the count of t appearances, or exact equality to t describe unrelated problems.

3. Final Answer:

   The smallest substring in s that contains all characters of t -> Option D

4. Quick Check:

   Minimum window substring = smallest substring containing all chars [OK]

Hint: Look for smallest substring covering all chars of t [OK]

Common Mistakes:

• Confusing minimum window with longest substring
• Thinking it counts occurrences instead of covering characters
• Assuming substring must be equal to t

2. Which of the following C# code snippets correctly initializes a dictionary to count characters of string t for the Minimum Window Substring problem?

easy

A. var dict = new Dictionary(); foreach (var c in t) { dict.Add(c, 1); }

B. var dict = new Dictionary(); foreach (var c in t) { dict[c] = dict.GetValueOrDefault(c, 0) + 1; }

C. var dict = new Dictionary(); foreach (var c in t) { dict.Add(c, 1); }

D. var dict = new Dictionary(); foreach (var c in t) { dict[c] += 1; }

Solution

1. Step 1: Check dictionary type and initialization

   Dictionary<char, int> is correct for counting characters. Dictionary<int, char> uses wrong types. Adding keys with Add fails on duplicates in t. Incrementing with += on uninitialized keys causes exceptions.

2. Step 2: Verify counting logic

   GetValueOrDefault(c, 0) + 1 safely handles missing keys and increments correctly for duplicates. Add(c, 1) throws on duplicates. dict[c] += 1 throws KeyNotFoundException on first occurrence.

3. Final Answer:

   var dict = new Dictionary<char, int>(); foreach (var c in t) { dict[c] = dict.GetValueOrDefault(c, 0) + 1; } -> Option B

4. Quick Check:

   Correct dictionary initialization and counting = var dict = new Dictionary(); foreach (var c in t) { dict[c] = dict.GetValueOrDefault(c, 0) + 1; } [OK]

Hint: Use GetValueOrDefault to safely increment dictionary counts [OK]

Common Mistakes:

• Using wrong dictionary key/value types
• Adding duplicate keys without checking
• Incrementing dictionary values without initialization

3. What is the output of the following C# code snippet for the Minimum Window Substring problem?

string s = "ADOBECODEBANC";
string t = "ABC";
string result = MinWindow(s, t);
Console.WriteLine(result);

string MinWindow(string s, string t) {
    var dictT = new Dictionary();
    foreach (var c in t) dictT[c] = dictT.GetValueOrDefault(c, 0) + 1;
    int required = dictT.Count;
    int l = 0, r = 0, formed = 0;
    var windowCounts = new Dictionary();
    int[] ans = {-1, 0, 0};
    while (r < s.Length) {
        char c = s[r];
        windowCounts[c] = windowCounts.GetValueOrDefault(c, 0) + 1;
        if (dictT.ContainsKey(c) && windowCounts[c] == dictT[c]) formed++;
        while (l <= r && formed == required) {
            c = s[l];
            if (ans[0] == -1 || r - l + 1 < ans[0]) {
                ans[0] = r - l + 1;
                ans[1] = l;
                ans[2] = r;
            }
            windowCounts[c]--;
            if (dictT.ContainsKey(c) && windowCounts[c] < dictT[c]) formed--;
            l++;
        }
        r++;
    }
    return ans[0] == -1 ? "" : s.Substring(ans[1], ans[0]);
}

medium

A. "CODEBA"

B. "ADOBEC"

C. "BANC"

D. "ABC"

Solution

1. Step 1: Understand the sliding window logic

   The code uses two pointers to find the smallest substring in s containing all chars of t. It expands right pointer r to include chars and moves left pointer l to minimize window while keeping all required chars.

2. Step 2: Trace the example input

   For s = "ADOBECODEBANC" and t = "ABC", the minimum window substring containing 'A', 'B', and 'C' is "BANC" starting at index 9 with length 4.

3. Final Answer:

   "BANC" -> Option C

4. Quick Check:

   Minimum window substring for given input = "BANC" [OK]

Hint: Use sliding window to track counts and minimize substring [OK]

Common Mistakes:

• Returning first found substring instead of minimum
• Not updating minimum window when smaller found
• Incorrectly updating counts causing wrong formed count

4. Identify the bug in the following C# code snippet for Minimum Window Substring and select the fix.

string MinWindow(string s, string t) {
    var dictT = new Dictionary();
    foreach (var c in t) dictT[c] = dictT.GetValueOrDefault(c, 0) + 1;
    int required = dictT.Count;
    int l = 0, r = 0, formed = 0;
    var windowCounts = new Dictionary();
    int[] ans = {-1, 0, 0};
    while (r < s.Length) {
        char c = s[r];
        windowCounts[c] = windowCounts.GetValueOrDefault(c, 0) + 1;
        if (dictT.ContainsKey(c) && windowCounts[c] == dictT[c]) formed++;
        while (l <= r && formed == required) {
            c = s[l];
            if (ans[0] == -1 || r - l + 1 < ans[0]) {
                ans[0] = r - l + 1;
                ans[1] = l;
                ans[2] = r;
            }
            windowCounts[c]--;
            if (dictT.ContainsKey(c) && windowCounts[c] <= dictT[c]) formed--;
            l++;
        }
        r++;
    }
    return ans[0] == -1 ? "" : s.Substring(ans[1], ans[0]);
}

medium

A. Change condition from windowCounts[c] <= dictT[c] to windowCounts[c] < dictT[c] when decreasing formed

B. Initialize formed to 1 instead of 0

C. Remove the inner while loop to avoid infinite loop

D. Change ans array size to 4 elements

Solution

1. Step 1: Analyze the condition for decreasing formed count

   The bug is in the line if (dictT.ContainsKey(c) && windowCounts[c] <= dictT[c]) formed--;. Using <= causes formed to decrease even when counts are equal, prematurely reducing formed.

2. Step 2: Correct the condition to strictly less than

   Changing condition to windowCounts[c] < dictT[c] ensures formed decreases only when count falls below required, fixing the bug.

3. Final Answer:

   Change condition from windowCounts[c] <= dictT[c] to windowCounts[c] < dictT[c] when decreasing formed -> Option A

4. Quick Check:

   Strict less than fixes formed decrement bug [OK]

Hint: Use < than, not <=, when checking counts to reduce formed [OK]

Common Mistakes:

• Using <= instead of < causing wrong formed count
• Incorrect initialization of formed variable
• Removing inner loop causing incorrect window shrinking

5. Given strings s = "aabbccdd" and t = "abc", what is the minimum window substring that contains all characters of t? Consider that characters can appear multiple times in s but only once in t.

hard

A. "aabbcc"

B. "abc"

C. "bcca"

D. "abbc"

Solution

1. Step 1: Identify required characters and counts

   String t requires one 'a', one 'b', and one 'c'. We need the smallest substring in s containing at least one of each.

2. Step 2: Find minimum substring in s covering all required chars

   Checking substrings: "aabbcc" (positions 0 to 5) contains 'a', 'b', and 'c' at least once each and is the smallest substring covering all required characters. "abbc" (positions 1 to 4) misses 'c' at position 4 (which is 'b'), so it does not contain 'c'. "abc" does not appear consecutively. "bcca" is not a substring in order. So "aabbcc" is the smallest valid window.

3. Final Answer:

   "aabbcc" -> Option A

4. Quick Check:

   Minimum window substring with all chars = "aabbcc" [OK]

Hint: Check all substrings covering t chars, pick shortest [OK]

Common Mistakes:

• Choosing substring missing one required character
• Picking substring with correct chars but longer length
• Ignoring character counts in t