diff options
Diffstat (limited to 'content/datastructures/segmentTree.cpp')
| -rw-r--r-- | content/datastructures/segmentTree.cpp | 42 |
1 files changed, 42 insertions, 0 deletions
diff --git a/content/datastructures/segmentTree.cpp b/content/datastructures/segmentTree.cpp new file mode 100644 index 0000000..6b69d0b --- /dev/null +++ b/content/datastructures/segmentTree.cpp @@ -0,0 +1,42 @@ +struct SegTree { + using T = ll; + int n; + vector<T> tree; + static constexpr T E = 0; // Neutral element for combine + + SegTree(vector<T>& a) : n(sz(a)), tree(2 * n) { + //SegTree(int size, T val = E) : n(size), tree(2 * n, val) { + copy(all(a), tree.begin() + n); + for (int i = n - 1; i > 0; i--) { // remove for range update + tree[i] = comb(tree[2 * i], tree[2 * i + 1]); + }} + + T comb(T a, T b) {return a + b;} // modify this + neutral + + void update(int i, T val) { + tree[i += n] = val; // apply update code + while (i /= 2) tree[i] = comb(tree[2 * i], tree[2 * i + 1]); + } + + T query(int l, int r) { + T resL = E, resR = E; + for (l += n, r += n; l < r; l /= 2, r /= 2) { + if (l&1) resL = comb(resL, tree[l++]); + if (r&1) resR = comb(tree[--r], resR); + } + return comb(resL, resR); + } + + // OR: range update + point query, needs commutative comb + void modify(int l, int r, T val) { + for (l += n, r += n; l < r; l /= 2, r /= 2) { + if (l&1) tree[l] = comb(tree[l], val), l++; + if (r&1) --r, tree[r] = comb(tree[r], val); + }} + + T query(int i) { + T res = E; + for (i += n; i > 0; i /= 2) res = comb(res, tree[i]); + return res; + } +}; |
