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POTD 52✅
“Sum of XOR of all pairs”
Brute force → O(n²) ❌
Better idea:
Think BITWISE.
For each bit:
pairs = count1 * count0
contribution = pairs * 2^i
Total → O(n)
Stop thinking in pairs.
Start thinking in bits.
#DSA#Coding#100DaysOfCode
POTD 51✅
“Binary Palindrome”
Easy way:
bin(n) → check reverse
Better way:
Compare bits from both ends (MSB ↔ LSB)
Same result.
More control.
No extra space.
Simple problems = depth in disguise.
#DSA#Coding#100DaysOfCode
POTD #49 ✅
“Position of the Set Bit”
Key trick:
n & (n-1) = 0
If true → number has exactly ONE set bit.
Classic bit manipulation optimization.
No brute force needed.
Binary patterns > memorization.
#DSA#Coding#100DaysOfCode
POTD #48 ✅
“Kth Largest in a Stream”
Brute force sorting after every insertion? ❌
Used a Min Heap of size k:
• Keep only k largest elements
• Heap top = kth largest
Efficient streaming solution:
O(n log k)
Heaps are underrated. 🧠
#DSA#Coding#100DaysOfCode
You don’t need to build the tree to check a Max Heap.
DAY: 47 POTD
In array representation:
Left child = 2i + 1
Right child = 2i + 2
Just verify:
parent ≥ children
Single pass.
O(n) time.
O(1) space.
Simple indexing > unnecessary complexity.
#DSA#Coding#100DaysOfCode
This “Min Swaps to Group 1s” DAY:46
Key insight:
If total 1s = k,
then answer = minimum 0s in any window of size k.
Fixed-size sliding window.
O(n) solution.
No swap simulation needed.
Pattern recognition > brute force.
#DSA#Coding#100DaysOfCode
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Most people brute-force substring problems.
Bad idea.
For “smallest window with 0,1,2”:
Use sliding window.
Expand → until valid
Shrink → to minimize
O(n), no extra space.
From exponential thinking → linear solution.
#DSA#Coding#100DaysOfCode@geeksforgeeks
Most people brute-force the Water Jug problem. That’s inefficient.
POTD-37
Key insight:
Possible only if d % gcd(m,n) == 0
Then simulate both directions (m→n, n→m) and take minimum steps.
(3,5,4)=6 ✔️
(8,56,46)=❌
Think before you code.
#DSA#Coding#GATE2026#100daysofcode
Day 37🔥 POTD Streak!
✅ Solved: Count Derangements
💡 Key Idea:
D(n) = (n-1) × (D(n-1) + D(n-2))
No element stays in its original position 🚫
Pure DP + combinatorics combo 🧠⚡
#POTD#DSA#DynamicProgramming#Coding#100DaysOfCode
Day 36🔥 POTD Streak!
✅ Solved: Check for Power
💡 Idea:
Keep dividing y by x until it’s no longer divisible
If you end at 1 → it’s a power ✔
Simple logic > complex math ⚡
#POTD#DSA#Coding#100DaysOfCode#ProblemSolving
Day 34🔥 POTD Streak!
✅ Solved: Anagram Palindrome
💡 Trick: At most ONE odd frequency allowed
Simple logic, powerful pattern 💯
These are the questions that sharpen intuition 🧠⚡
#POTD#DSA#Coding#100DaysOfCode#ProblemSolving
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Day 32🔥 POTD Streak!
✅ Solved: URLify a String
💡 Idea: Replace spaces with "%20"
Simple problem, but builds strong string fundamentals 💯
Consistency is the real game 🚀
#POTD#DSA#Coding#100DaysOfCode#GeeksforGeeks
Day 31🔥 POTD Streak!
✅ Solved: Remove Spaces
⚡ Idea: Filter characters or use replace()
Sometimes the simplest problems build the strongest fundamentals 💯
Consistency > complexity 🚀
#POTD#DSA#Coding#100DaysOfCode#GeeksforGeeks