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#pragma once

#include <stddef.h>
#include <stdint.h>


struct AVLNode {
    AVLNode *parent = NULL;
    AVLNode *left = NULL;
    AVLNode *right = NULL;
    uint32_t height = 0;    // subtree height
    uint32_t cnt = 0;       // subtree size
};

inline void avl_init(AVLNode *node) {
    node->left = node->right = node->parent = NULL;
    node->height = 1;
    node->cnt = 1;
}

// helpers
inline uint32_t avl_height(AVLNode *node) { return node ? node->height : 0; }
inline uint32_t avl_cnt(AVLNode *node) { return node ? node->cnt : 0; }

// API
AVLNode *avl_fix(AVLNode *node);
AVLNode *avl_del(AVLNode *node);