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Master-Level Assignment Question: Design a C program that reads N integers, finds the longest increasing subsequence using O(n log n), and prints both the length and one valid subsequence.
Solution: Use a tails array to track minimal ending values, a prev index array for reconstruction, and binary search to place each element. Iterate through the input, update positions, and maintain parent links. After processing, reconstruct the subsequence by backtracking from the last index stored for the maximum length, then print the sequence in correct order. This approach guarantees optimal time and demonstrates proficiency with pointers, dynamic arrays, and binary search invariants.
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