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void pqdk_sift_up(int *key, int *data, int *pos, int data_bound,
int n, int idx)
{
int child = idx;
while (child > 0) {
int parent = (child - 1) / 2;
if (key[parent] <= key[child]) {
break;
}
int tmp_key = key[parent];
int tmp_data = data[parent];
pos[data[parent]] = child;
pos[data[child]] = parent;
key[parent] = key[child];
data[parent] = data[child];
key[child] = tmp_key;
data[child] = tmp_data;
child = parent;
}
}
void pqdk_sift_down(int *key, int *data, int *pos, int data_bound,
int n, int idx)
{
int current = idx;
while (current * 2 + 1 < n) {
int left = current * 2 + 1;
int right = left + 1;
int smallest = left;
if (right < n && key[right] < key[left]) {
smallest = right;
}
if (key[current] <= key[smallest]) {
break;
}
int tmp_key = key[current];
int tmp_data = data[current];
pos[data[current]] = smallest;
pos[data[smallest]] = current;
key[current] = key[smallest];
data[current] = data[smallest];
key[smallest] = tmp_key;
data[smallest] = tmp_data;
current = smallest;
}
}
void pqdk_push(int *key, int *data, int *pos, int *size,
int data_bound, int data_x, int key_x)
{
int n0 = *size;
key[n0] = key_x;
data[n0] = data_x;
pos[data_x] = n0;
*size = n0 + 1;
pqdk_sift_up(key, data, pos, data_bound, n0 + 1, n0);
}
void pqdk_decrease_key(int *key, int *data, int *pos, int *size,
int data_bound, int data_x, int key_x)
{
int n0 = *size;
int idx = pos[data_x];
key[idx] = key_x;
pqdk_sift_up(key, data, pos, data_bound, n0, idx);
}
void pqdk_update_or_push(int *key, int *data, int *pos, int *size,
int data_bound, int data_x, int key_x)
{
int idx = pos[data_x];
if (idx < 0) {
pqdk_push(key, data, pos, size, data_bound, data_x, key_x);
} else {
pqdk_decrease_key(key, data, pos, size, data_bound, data_x, key_x);
}
}
void pqdk_pop(int *key, int *data, int *pos, int *size,
int data_bound, int *data_out, int *key_out)
{
int n0 = *size;
int result_key = key[0];
int result_data = data[0];
*key_out = result_key;
*data_out = result_data;
pos[result_data] = -1;
if (n0 == 1) {
*size = 0;
return;
}
pos[data[n0 - 1]] = 0;
key[0] = key[n0 - 1];
data[0] = data[n0 - 1];
*size = n0 - 1;
pqdk_sift_down(key, data, pos, data_bound, n0 - 1, 0);
}