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-rw-r--r--content/datastructures/segmentTree.cpp42
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;
+ }
+};