Day 37: Counting Valid Permutations with LeetCode Challenge

🗓 Day 37 / 100 – #100DaysOfLeetCode 📌 Problem 3577: Count Valid Permutations Today’s problem focused on validating and counting permutations under specific structural constraints. It was a good exercise in understanding how ordering conditions restrict the total number of valid outcomes. 🧠 My Approach: Identified the minimum value in the array. A valid permutation requires that the first element must be the minimum, and that this minimum appears exactly once. If the first element isn’t the minimum → return 0 If the minimum appears more than once → return 0 For the remaining elements, the number of valid permutations is simply: (n−1)! 💡 Key Learning: This problem reinforced two important ideas: ✔ Before counting permutations, ensure all validity constraints hold. ✔ Many permutation problems simplify to factorials once structural requirements are enforced. A clean and elegant reminder that sometimes, the hardest part is identifying the constraints—not the counting. Another day, another pattern strengthened 🚀 #100DaysOfLeetCode #LeetCodeChallenge #Python #ProblemSolving #Combinatorics #Permutations #MathInCoding #Algorithms #DSA #CompetitiveProgramming #SoftwareEngineering #CodingJourney #DeveloperJourney #LearningInPublic #TechStudent #CareerGrowth #LogicBuilding #Programming #KeepLearning

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