Submission #620139

#TimeUsernameProblemLanguageResultExecution timeMemory
620139OlympiaGame (IOI13_game)C++17
100 / 100
5586 ms73368 KiB
#include <bits/stdc++.h> #include <game.h> using namespace std; struct Node { Node* left; Node* right; long long x, y; long long val1, val2; Node (long long x, long long val) { this->x = x, this->y = rand(), this->left = nullptr, this->right = nullptr, this->val1 = this->val2 = val; } }; long long gcd (long long a, long long b) { if (!a || !b) return max(a,b ); return gcd(max(a, b) % min(a, b), min(a, b)); } void print (Node*x) { if (x != nullptr) { print(x->left); print(x->right); } } long long g (Node*x) { return ((x == nullptr) ? 0 : x->val2); } void upd (Node*&x) { x->val2 = gcd(gcd(g(x->left), g(x->right)), x->val1); } pair<Node*, Node*> splitX (Node*cur, long long x) { if (cur == nullptr) return make_pair(nullptr, nullptr); if (cur->right == nullptr && cur->x <= x) { return make_pair(cur, nullptr); } if (cur->left == nullptr && cur->x > x) { return make_pair(nullptr, cur); } if (cur->x <= x) { auto p = splitX(cur->right, x); cur->right = p.first; upd(cur); return make_pair(cur, p.second); } else { auto p = splitX(cur->left, x); cur->left = p.second; upd(cur); return make_pair(p.first, cur); } } Node* merge (Node* node1, Node* node2) { if (node1 == nullptr) return node2; if (node2 == nullptr) return node1; if (node2->y <= node1->y) { node2->left = merge(node1, node2->left); upd(node2); return node2; } else { node1->right = merge(node1->right, node2); upd(node1); return node1; } } int64_t query (Node* root, int l, int r) { auto p = splitX(root, l - 1); //[<= l - 1, >= l] auto q = splitX(p.second, r); //[>= l <= r, >r] long long ans = g(q.first); root = merge(p.first, merge(q.first, q.second)); return ans; } void update (Node*& root, int x, long long val) { //update the thing at index x to be val auto p = splitX(root, x - 1); //<=x - 1, >= x auto q = splitX(p.second, x); //>= x and <= x root = merge(p.first, merge(new Node(x, val), q.second)); } struct SegmentTree { Node* root; SegmentTree* l; SegmentTree* r; int left, right; SegmentTree () { this->l = this->r = nullptr; } SegmentTree (int left, int right) { this->left = left, this->right = right, this->l = nullptr, this->r = nullptr, this->root = nullptr; } void upd (int x, int y, int64_t val) { if (left > y || right < y) { return; } if (left == y && right == y) { update(root, x, val); return; } if (y >= left && y <= (left + right)/2) { if (l == nullptr) l = new SegmentTree(left, (left + right)/2); l->upd(x, y, val); } else { if (r == nullptr) r = new SegmentTree((left + right)/2 + 1, right); r->upd(x, y, val); } int64_t ans = 0; if (l != nullptr) ans = gcd(ans, query(l->root, x, x)); if (r != nullptr) ans = gcd(ans, query(r->root, x, x)); update(root, x, ans); } int64_t get (int x1, int y1, int x2, int y2) { if (left > y2 || right < y1) { return 0; } if (left >= y1 && right <= y2) { return query(root, x1, x2); } int64_t ans = 0; if (l != nullptr) { ans = gcd(ans, l->get(x1, y1, x2, y2)); } if (r != nullptr) { ans = gcd(ans, r->get(x1, y1, x2, y2)); } return ans; } }; SegmentTree* st; void init (int n, int m) { st = new SegmentTree(0, max(n, m) + 1); } void update (int x, int y, long long z) { st->upd(x, y, z); } long long calculate (int x1, int y1, int x2, int y2) { return st->get(x1, y1, x2, y2); }
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