#include <iostream>
#include <vector>
using namespace std;
int main() {
int N, K;
cin >> N >> K;
vector<int> A(N);
for (int i = 0; i < N; i++) {
cin >> A[i];
}
{ // Check existence of solution
vector<int> B(K);
for (int i = 0; i < N; i++) {
B[i % K] += A[i];
}
for (int i = 0; i < K; i++) {
B[i] %= K;
}
for (int i = 0; i < N % K; i++) {
if (B[i] != B[0]) {
cout << -1 << "\n";
return 0;
}
}
for (int i = N % K; i < K; i++) {
if (B[i] != B[N % K]) {
cout << -1 << "\n";
return 0;
}
}
}
vector<pair<int, int>> operations; // (type (0 vertical, 1 horizontal), leftmost column)
{ // Step 1: make A[0] <= A[1] <= ... <= A[N - 1] holds
for (int i = 1; i < N; i++) {
while (A[i - 1] > A[i]) {
A[i] += K;
operations.emplace_back(0, i);
}
}
for (int i = N - 1; i >= 0; i--) {
A[i] -= A[0]; // delete rows
}
}
{ // Step 2: Fill columns K - 1, K, ..., N - 1 with horizontal pieces
for (int i = 1; i <= A[N - 1]; i++) {
for (int j = N - 1; j >= 0; j--) {
if (j + K - 1 < N && A[j + K - 1] < i) {
operations.emplace_back(1, j);
for (int k = j; k < j + K; k++) {
A[k]++;
}
}
}
}
}
{ // Step 3: Clear columns K - 1, K, ..., N - 1 by filling 0...K-2 with vertical pieces
for (int i = 0; i < K - 1; i++) {
while (A[i] < A[N - 1]) {
operations.emplace_back(0, i);
A[i] += K;
}
}
for (int i = 0; i < N; i++) {
A[i] -= A[N - 1]; // delete rows
}
}
{ // Step 4: Fill vertical pieces for A[0], ..., A[N % K - 1] so they are all the same.
int mxheight = 0;
for (int i = 0; i < N % K; i++) {
mxheight = max(mxheight, A[i]);
}
for (int i = 0; i < N % K; i++) {
while (A[i] < mxheight) {
operations.emplace_back(0, i);
A[i] += K;
}
}
}
{ // Step 5: Fill vertical pieces for A[N % K], ..., A[N - 1] so they are all the same
int mxheight = 0;
for (int i = N % K; i < K - 1; i++) {
mxheight = max(mxheight, A[i]);
}
for (int i = N % K; i < N; i++) {
while (A[i] < mxheight) {
operations.emplace_back(0, i);
A[i] += K;
}
}
}
{ // Step 6: Make 0...N-1 the same height by adding horizontal positions
int key = 0;
for (int i = 0; i < N % K; i++) {
while (A[i] < A[N % K]) {
operations.emplace_back(0, i);
A[i] += K;
}
key = A[i];
}
for (int i = N % K; i < N; i += K) {
while (A[i] < key) {
operations.emplace_back(1, i);
for (int j = i; j < i + K; j++) {
A[j]++;
}
}
}
}
cout << operations.size() << "\n";
for (auto &i : operations) {
cout << i.first + 1 << " " << i.second + 1 << "\n";
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
256 KB |
Output is correct |
2 |
Correct |
4 ms |
256 KB |
Output is correct |
3 |
Correct |
5 ms |
256 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
256 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
4 ms |
256 KB |
Output is correct |
10 |
Correct |
5 ms |
256 KB |
Output is correct |
11 |
Correct |
5 ms |
256 KB |
Output is correct |
12 |
Correct |
5 ms |
256 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
256 KB |
Output is correct |
15 |
Correct |
5 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
256 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
4 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
256 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
256 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
4 ms |
256 KB |
Output is correct |
15 |
Correct |
5 ms |
256 KB |
Output is correct |
16 |
Correct |
4 ms |
256 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
256 KB |
Output is correct |
2 |
Correct |
4 ms |
256 KB |
Output is correct |
3 |
Correct |
5 ms |
256 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
256 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
4 ms |
256 KB |
Output is correct |
10 |
Correct |
5 ms |
256 KB |
Output is correct |
11 |
Correct |
5 ms |
256 KB |
Output is correct |
12 |
Correct |
5 ms |
256 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
256 KB |
Output is correct |
15 |
Correct |
5 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
256 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
5 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
384 KB |
Output is correct |
21 |
Correct |
5 ms |
256 KB |
Output is correct |
22 |
Correct |
5 ms |
256 KB |
Output is correct |
23 |
Correct |
5 ms |
256 KB |
Output is correct |
24 |
Correct |
5 ms |
384 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
4 ms |
256 KB |
Output is correct |
27 |
Correct |
5 ms |
384 KB |
Output is correct |
28 |
Correct |
5 ms |
256 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
5 ms |
256 KB |
Output is correct |
31 |
Correct |
5 ms |
256 KB |
Output is correct |
32 |
Correct |
4 ms |
256 KB |
Output is correct |
33 |
Correct |
4 ms |
256 KB |
Output is correct |
34 |
Correct |
5 ms |
384 KB |
Output is correct |
35 |
Correct |
4 ms |
256 KB |
Output is correct |
36 |
Correct |
4 ms |
256 KB |
Output is correct |
37 |
Correct |
4 ms |
256 KB |
Output is correct |
38 |
Correct |
4 ms |
256 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
256 KB |
Output is correct |
2 |
Correct |
4 ms |
256 KB |
Output is correct |
3 |
Correct |
5 ms |
256 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
256 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
4 ms |
256 KB |
Output is correct |
10 |
Correct |
5 ms |
256 KB |
Output is correct |
11 |
Correct |
5 ms |
256 KB |
Output is correct |
12 |
Correct |
5 ms |
256 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
256 KB |
Output is correct |
15 |
Correct |
5 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
256 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
5 ms |
384 KB |
Output is correct |
20 |
Correct |
4 ms |
384 KB |
Output is correct |
21 |
Correct |
5 ms |
384 KB |
Output is correct |
22 |
Correct |
5 ms |
384 KB |
Output is correct |
23 |
Correct |
4 ms |
384 KB |
Output is correct |
24 |
Correct |
5 ms |
256 KB |
Output is correct |
25 |
Correct |
5 ms |
384 KB |
Output is correct |
26 |
Correct |
5 ms |
384 KB |
Output is correct |
27 |
Correct |
5 ms |
256 KB |
Output is correct |
28 |
Correct |
5 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
4 ms |
256 KB |
Output is correct |
31 |
Correct |
5 ms |
256 KB |
Output is correct |
32 |
Correct |
4 ms |
256 KB |
Output is correct |
33 |
Correct |
5 ms |
256 KB |
Output is correct |
34 |
Correct |
5 ms |
384 KB |
Output is correct |
35 |
Correct |
5 ms |
384 KB |
Output is correct |
36 |
Correct |
5 ms |
384 KB |
Output is correct |
37 |
Correct |
5 ms |
256 KB |
Output is correct |
38 |
Correct |
5 ms |
256 KB |
Output is correct |
39 |
Correct |
5 ms |
256 KB |
Output is correct |
40 |
Correct |
5 ms |
384 KB |
Output is correct |
41 |
Correct |
5 ms |
384 KB |
Output is correct |
42 |
Correct |
4 ms |
256 KB |
Output is correct |
43 |
Correct |
5 ms |
384 KB |
Output is correct |
44 |
Correct |
5 ms |
256 KB |
Output is correct |
45 |
Correct |
5 ms |
384 KB |
Output is correct |
46 |
Correct |
5 ms |
256 KB |
Output is correct |
47 |
Correct |
5 ms |
256 KB |
Output is correct |
48 |
Correct |
4 ms |
256 KB |
Output is correct |
49 |
Correct |
4 ms |
256 KB |
Output is correct |
50 |
Correct |
5 ms |
384 KB |
Output is correct |
51 |
Correct |
4 ms |
256 KB |
Output is correct |
52 |
Correct |
4 ms |
256 KB |
Output is correct |
53 |
Correct |
4 ms |
256 KB |
Output is correct |
54 |
Correct |
4 ms |
256 KB |
Output is correct |
55 |
Correct |
5 ms |
256 KB |
Output is correct |
56 |
Correct |
5 ms |
512 KB |
Output is correct |
57 |
Correct |
5 ms |
256 KB |
Output is correct |
58 |
Correct |
5 ms |
256 KB |
Output is correct |
59 |
Correct |
5 ms |
256 KB |
Output is correct |
60 |
Correct |
5 ms |
256 KB |
Output is correct |
61 |
Correct |
5 ms |
384 KB |
Output is correct |
62 |
Correct |
4 ms |
256 KB |
Output is correct |
63 |
Correct |
5 ms |
256 KB |
Output is correct |
64 |
Correct |
5 ms |
256 KB |
Output is correct |
65 |
Correct |
5 ms |
256 KB |
Output is correct |
66 |
Correct |
4 ms |
256 KB |
Output is correct |
67 |
Correct |
5 ms |
384 KB |
Output is correct |
68 |
Correct |
5 ms |
256 KB |
Output is correct |
69 |
Correct |
5 ms |
256 KB |
Output is correct |
70 |
Correct |
5 ms |
384 KB |
Output is correct |
71 |
Correct |
5 ms |
384 KB |
Output is correct |
72 |
Correct |
5 ms |
384 KB |
Output is correct |
73 |
Correct |
5 ms |
384 KB |
Output is correct |
74 |
Correct |
5 ms |
384 KB |
Output is correct |
75 |
Correct |
5 ms |
384 KB |
Output is correct |
76 |
Correct |
5 ms |
384 KB |
Output is correct |
77 |
Correct |
5 ms |
384 KB |
Output is correct |
78 |
Correct |
5 ms |
256 KB |
Output is correct |
79 |
Correct |
5 ms |
256 KB |
Output is correct |
80 |
Correct |
5 ms |
256 KB |
Output is correct |
81 |
Correct |
5 ms |
384 KB |
Output is correct |
82 |
Correct |
5 ms |
384 KB |
Output is correct |
83 |
Correct |
5 ms |
256 KB |
Output is correct |
84 |
Correct |
5 ms |
256 KB |
Output is correct |
85 |
Correct |
5 ms |
304 KB |
Output is correct |
86 |
Correct |
5 ms |
256 KB |
Output is correct |
87 |
Correct |
5 ms |
256 KB |
Output is correct |
88 |
Correct |
5 ms |
384 KB |
Output is correct |
89 |
Correct |
5 ms |
384 KB |
Output is correct |
90 |
Correct |
5 ms |
256 KB |
Output is correct |
91 |
Correct |
5 ms |
256 KB |
Output is correct |
92 |
Correct |
5 ms |
384 KB |
Output is correct |