Drop point-update sparse segment tree from the PDF - #22
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SparseLazy already covers point updates as a degenerate range (ql=qr), so the extra implicit tree is not worth a column in the 25-page notebook. Keep the header in-repo (site toggle) like UnionFind. Co-authored-by: shadeditor <shadeditor@gmail.com>
ql=qr is the replacement for the PDF-excluded point-update implicit tree. Co-authored-by: shadeditor <shadeditor@gmail.com>
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The point-update implicit tree (
SparseSegmentTree.h) is not needed in the printed notebook.SparseLazySegmentTreealready does point updates as a degenerate range (ql == qr). Offline, coordinate compression plus the denseSegmentTree/ Fenwick covers the same “sparse indices” case. Four segment trees is a lot of column for 25 pages; this is the same reasonUnionFindstays commented out next toUnionFindRollback.The header and its stress test stay in the repo. The snippets site hides it by default (show-excluded toggle), same as other PDF-excluded snippets. The lazy tree description now notes the
ql=qrpoint-update usage, and the lazy stress test covers a point update on a large domain.Walkthrough
\kactlimport{SparseSegmentTree.h}in the data-structures chapter.SparseLazySegmentTree.ql=qron the lazy implicit tree.Verified:
make test-compiles(144/144),make test(90/90),make test-preprocess,make web-pdf.