📊 StockQueryX — Stock Market Range Query Analyzer (Mo's Algorithm)

StockQueryX ek high-performance range-query analytics engine hai jo stock price data par complex queries ko ultra-fast process karta hai using Mo’s Algorithm.

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🚀 Features Supported

StockQueryX total 6 advanced stock-analysis range queries support karta hai:

✅ 1. Distinct Prices (L–R)

• Range me kitne unique price values the.

✅ 2. Max-Frequency Price (Mode)

• Jo price sabse zyada baar aaya ho L–R me.

✅ 3. Volatility Count

• Up → Down → Up → Down type direction change count.

✅ 4. U-D-U-D Pattern Count

• Zig-zag micro-patterns detect karta hai.

✅ 5. Trend Detection

• Uptrend
• Downtrend
• Flat trend

✅ 6. Peak Count

• Kitne local maxima (peaks) aaye is range me.

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⚙️ Mo’s Algorithm — Core Engine

Mo’s Algorithm contiguous range queries ko optimize karta hai by minimizing operations.

📌 Time Complexity:

O((N + Q) * √N)

Boht speed optimization hota hai especially jab N aur Q bohot bade ho.

📌 Sorting Queries:

O(Q · log Q)

📌 Add / Remove Operations:

O(1) each

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📏 Maximum Dataset Capacity

⚡ Smooth Performance:

N = 100,000 prices  
Q = 100,000 queries

⚡ Acceptable Performance:

N = 200,000  
Q = 200,000

⚠ Stress-tested Upper Limit:

N = 300,000+  
Q = 300,000+

Real bottleneck = Browser + device RAM (JS single-threaded).
Algorithmically, Mo’s 500k+ dataset bhi handle kar sakta hai.

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🧠 Why Mo's Algorithm for Stocks?

Stock market analytics heavily depends on range-based insights:

• Intraday volatility
• Local peaks / dips
• Trend shifts
• Micro-patterns
• Clustering behavior
• Price diversity

Ye sab continuous segments par hote hain → Mo’s Algorithm = perfect match.

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🧪 Performance Example

For:

N = 100,000  
Q = 20,000

Naive:

~2.5 billion operations → browser freeze

Mo’s Algorithm:

~6–7 million operations → fast & smooth

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🖥️ Real-World Use Cases

• Trading platforms
• Back-testing engines
• Financial research dashboards
• Market pattern detectors
• Volatility monitors
• Historical price analytics
• Quantitative ML feature extraction

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