#include <stdio.h>
#include <stdlib.h>
typedef struct Ll_node Ll_node;
struct Ll_node {
int original_height;
int longest_piece;
int shortest_piece;
int number_of_cuts;
Ll_node *next;
};
void update_longest_piece(Ll_node *ll_node)
{
int preliminary_value = ll_node->original_height / (ll_node->number_of_cuts + 1);
ll_node->shortest_piece = preliminary_value;
if (preliminary_value * (ll_node->number_of_cuts + 1) == ll_node->original_height) {
ll_node->longest_piece = preliminary_value;
} else {
ll_node->longest_piece = preliminary_value + 1;
}
}
void insort(Ll_node *ll_node, Ll_node **head)
{
Ll_node *current_ll_node = *head;
if (ll_node->longest_piece > (*head)->longest_piece || (ll_node->longest_piece == (*head)->longest piece && ll_node->original_height > (*head)->original_height)) {
ll_node->next = *head;
*head = ll_node;
return;
}
while (current_ll_node->next != NULL && current_ll_node->next->longest_piece > ll_node->longest_piece) {
current_ll_node = current_ll_node->next;
}
ll_node->next = current_ll_node->next;
current_ll_node->next = ll_node;
}
void print_ll(Ll_node *head)
{
Ll_node *ll_node = head;
while (ll_node != NULL) {
printf("Original length: %d, longest piece: %d, shortest_piece: %d\n", ll_node->original_height, ll_node->longest_piece, ll_node->shortest_piece);
ll_node = ll_node->next;
}
printf("\n");
}
void distribute_cut(Ll_node **head)
{
Ll_node *loose_head;
(*head)->number_of_cuts++;
update_longest_piece(*head);
if ((*head)->next == NULL) {
return;
}
loose_head = *head;
*head = (*head)->next;
insort(loose_head, head);
}
Ll_node *parse_ll(int number_of_sticks)
{
int stick_height, i;
Ll_node *head, *tmp_stick;
for (i = 0; i < number_of_sticks; i++) {
tmp_stick = malloc(sizeof(*tmp_stick));
scanf("%d", &stick_height);
tmp_stick->original_height = stick_height;
tmp_stick->longest_piece = stick_height;
tmp_stick->shortest_piece = stick_height;
tmp_stick->number_of_cuts = 0;
tmp_stick->next = NULL;
if (i == 0) {
head = tmp_stick;
continue;
}
insort(tmp_stick, &head);
}
return head;
}
int find_maximum_difference(Ll_node *head)
{
int max = -1, min = 1000000001;
Ll_node *ll_node = head;
while (ll_node != NULL) {
if (ll_node->longest_piece > max) {
max = ll_node->longest_piece;
}
if (ll_node->shortest_piece < min) {
min = ll_node->shortest_piece;
}
ll_node = ll_node->next;
}
return max - min;
}
int main(void)
{
int number_of_sticks, max_number_of_cuts, i;
Ll_node *tmp_stick, *head;
scanf("%d%d", &number_of_sticks, &max_number_of_cuts);
head = parse_ll(number_of_sticks);
for (i = 0; i < max_number_of_cuts; i++) {
distribute_cut(&head);
printf("%d ", find_maximum_difference(head));
}
return 0;
}