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#Permutation

2 posts

Matrix #4 6 min read

Matrix Problems — Fibonacci Subarray Sums, Gaussian Elimination & Expected Value

Hard matrix problems: Fibonacci squared subarray sum with segment-tree 4-tuple and companion matrix; cycle-decomposition partition state space for random-swap sorting, first-step analysis, and Gaussian elimination.

Combinatorics #1.1 9 min read

Permutations and Combinations

Hockey Stick identity, addition/multiplication principles, binomial identities, example problems: bitonic sequences, multiset permutations, multi-layer coloring DP, CCPC Subpermutation.