#ifndef VIETER_HEAP_TREE
#define VIETER_HEAP_TREE

#include <stdint.h>
#include <stdlib.h>

typedef struct vieter_heap_node {
    uint64_t key;
    void *data;
    struct vieter_heap_node *largest_order;
    struct vieter_heap_node *next_largest_order;
} vieter_heap_node;

vieter_heap_node *vieter_heap_node_init();

void vieter_heap_node_free(vieter_heap_node *node);

typedef struct vieter_heap_tree {
    uint8_t order;
    vieter_heap_node *root;
    struct vieter_heap_tree *next;
} vieter_heap_tree;

vieter_heap_tree *vieter_heap_tree_init(vieter_heap_node *root, vieter_heap_tree *next, uint8_t order);

/*
 * Deallocate a tree object, along with its underlying tree structure.
 */
void vieter_heap_tree_free(vieter_heap_tree *tree);

vieter_heap_tree *vieter_heap_tree_merge(vieter_heap_tree *tree_a, vieter_heap_tree *tree_b);

vieter_heap_tree *vieter_heap_tree_merge_same_order(vieter_heap_tree *tree_a,
                                                    vieter_heap_tree *tree_b);

vieter_heap_tree *vieter_heap_tree_pop(void **out, vieter_heap_tree *tree);

#endif