Implemented treap operations without subtree-sizes

file.hpp

@@ -3,55 +3,74 @@
 #include <utility>
 
 using std::string;
-typedef unsigned long long priority_type;
+typedef unsigned long long count_type;
-typedef unsigned long long key_type;
 #define RAND_MAX (1 << 62)
 class line;
 typedef std::pair<line*, line*> two_lines;
 
 // Treap node representation of a line
-class line {
+struct line {
-	priority_type priority;
+	count_type priority, size;
-	key_type key;
 	string text;
 	line *left, *right;
 
-public:
+	line(count_type _p, string _t) : priority(_p), text(_t), size(-1), left(nullptr), right(nullptr) {}
-	line(priority_type _p, string _t) : priority(_p), text(_t) {}
-
-	two_lines split(string s) { return two_lines(nullptr, nullptr); }
-	void join(line *l) {
-		// Take minimum of priorities of roots
-		// Join subtrees
-	}
-
-	line* find(key_type k) {
-		if(k < key) {
-			if(left != nullptr)
-				return left->find(k);
-			else
-				return nullptr;
-		}
-		else if(k > key) {
-			if(right != nullptr)
-				return right->find(k);
-			else
-				return nullptr;
-		}
-		else
-			return this;
-	}
 };
 
 // Treap representation of a file
-struct file {
+class file {
 	line* root;
 
 	file() {
 		srand(120);
 		root = nullptr;
 	}
-	void insert(string s) {
+
+	// Split treap by k-th element
+	// TODO with sizes
+	two_lines split(line *l, count_type k) {
+		if(l == nullptr) return {nullptr, nullptr};
+
+		if(l->size <= k) {
+			auto two = split(l->right, k);
+			l->right = two.first;
+			return {l, two.second};
+		}
+		else {
+			auto two = split(l->left, k - 1 - (l->left == nullptr ? 0 : l->left->size));
+			l->left = two.second;
+			return {two.first, l};
+		}
+	}
+	// Join two treaps
+	// TODO with sizes
+	line* join(line *a, line *b) {
+		if(a == nullptr) return b;
+		if(b == nullptr) return a;
+
+		if(a->priority < b->priority) {
+			a->right = join(a->right, b);
+			return a;
+		}
+		else {
+			b->left = join(a, b->left);
+			return b;
+		}
+	}
+	line* join(two_lines two) { return join(two.first, two.second); }
+
+public:
+	line* find(line* l, count_type k) {
+		if(l == nullptr) return nullptr;
+
+		if(k < l->size)
+			return find(l->left, k);
+		else if(k > l->size)
+			return find(l->right, k - 1 - (l->left == nullptr ? 0 : l->left->size) );
+		else
+			return l;
+	}
+	void insert(int k, string s) {
 		line *l = new line(rand(), s);
 
 		if(root == nullptr) {
@@ -59,16 +78,13 @@ struct file {
 			return;
 		}
 
-		auto two = root->split(s);
+		auto two = split(root, k);
-		two.first->join(l);
+		join(two.first, l);
-		two.first->join(two.second);
+		join(two);
 	}
-	void remove(string s) {
+	void remove(count_type k) {
-		auto two = root->split(s);
+		auto two = split(root, k);
-		two.first = two.first->split(s).first; // TODO sharp split
+		two.first = split(two.first, k-1).first;
-		two.first->join(two.second);
+		join(two);
-	}
-	line* find(key_type k) {
-		return root->find(k);
 	}
 };