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* feat: add spare table data structure Added implementation of sparse table for a 'duplicate invariant function'. Implementation of min(a1,a2...,aN) being the duplicate invariant function is done. * fixed: clang-tidy warnings * minor change: remove bits/stdc++ header * added header comments * updating DIRECTORY.md * fixed to clang-format * fixed header postion suggested change Co-authored-by: David Leal <halfpacho@gmail.com> * fixed author name suggested changes Co-authored-by: David Leal <halfpacho@gmail.com> * fixed test() info to Doxygen standards. suggested changes Co-authored-by: David Leal <halfpacho@gmail.com> * changed comment suggested changes Co-authored-by: David Leal <halfpacho@gmail.com> * minor changes in file info suggested changes Co-authored-by: David Leal <halfpacho@gmail.com> * minor changes in file info suggested changes Co-authored-by: David Leal <halfpacho@gmail.com> * minor changes in file info suggested changes Co-authored-by: David Leal <halfpacho@gmail.com> * changes in variable and struct descriptions * Update data_structures/sparse_table.cpp Co-authored-by: David Leal <halfpacho@gmail.com> * Update data_structures/sparse_table.cpp Co-authored-by: David Leal <halfpacho@gmail.com> * Update data_structures/sparse_table.cpp Co-authored-by: David Leal <halfpacho@gmail.com> * changed int data type for non-negative numbers * changing datatypes of certain variables * Update data_structures/sparse_table.cpp Co-authored-by: David Leal <halfpacho@gmail.com> * Update data_structures/sparse_table.cpp Co-authored-by: Ayaan Khan <ayaankhan98@gmail.com> * clang-format and clang-tidy fixes for ddf777fc * minor changes * fixed comparison of integer of diff signedness * Update data_structures/sparse_table.cpp Co-authored-by: David Leal <halfpacho@gmail.com> * added description as @Panquesito7 suggested * minor grammar checks * minor documentation fixes Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Co-authored-by: David Leal <halfpacho@gmail.com> Co-authored-by: Ayaan Khan <ayaankhan98@gmail.com>