data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|
primeintellect
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Solve the following coding problem using the programming language python:\n\nThe stardate is 1977 and the science and art of detecting Death Stars is in its infancy. Princess Heidi has received information about the stars in the nearby solar system from the Rebel spies and now, to help her identify the exact location of the Death Star, she needs to know whether this information is correct. \n\nTwo rebel spies have provided her with the maps of the solar system. Each map is an N × N grid, where each cell is either occupied by a star or empty. To see whether the information is correct, Heidi needs to know whether the two maps are of the same solar system, or if possibly one of the spies is actually an Empire double agent, feeding her false information.\n\nUnfortunately, spies may have accidentally rotated a map by 90, 180, or 270 degrees, or flipped it along the vertical or the horizontal axis, before delivering it to Heidi. If Heidi can rotate or flip the maps so that two of them become identical, then those maps are of the same solar system. Otherwise, there are traitors in the Rebel ranks! Help Heidi find out.\n\nInput\n\nThe first line of the input contains one number N (1 ≤ N ≤ 10) – the dimension of each map. Next N lines each contain N characters, depicting the first map: 'X' indicates a star, while 'O' indicates an empty quadrant of space. Next N lines each contain N characters, depicting the second map in the same format.\n\nOutput\n\nThe only line of output should contain the word Yes if the maps are identical, or No if it is impossible to match them by performing rotations and translations.\n\nExamples\n\nInput\n\n4\nXOOO\nXXOO\nOOOO\nXXXX\nXOOO\nXOOO\nXOXO\nXOXX\n\n\nOutput\n\nYes\n\n\nInput\n\n2\nXX\nOO\nXO\nOX\n\n\nOutput\n\nNo\n\nNote\n\nIn the first test, you can match the first map to the second map by first flipping the first map along the vertical axis, and then by rotating it 90 degrees clockwise.\n\nThe input will be given via stdin and the output should be printed to stdout by your code.\n\nNow solve the problem by providing the code.",
"role": "user"
}
] |
code
|
{
"ground_truth": [
{
"input": "4\nXOOO\nXXOO\nOOOO\nXXXX\nXOOO\nXOOO\nXOXO\nXOXX\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "2\nXX\nOO\nXO\nOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "10\nXXXOXOOXXX\nOOXXOXXOXO\nOOOOXOOXOX\nXOOXOXOOXX\nXOXXOXOOXX\nOOOXXOXOXX\nOOOXOOOOXO\nOOXOOXXOXX\nXXOXOOXOOX\nOXXXOOXOXX\nXXOXOOXXXO\nXOOXOOXOXX\nXXOXXOOXOO\nOXOOOOXOOO\nXXOXOXXOOO\nXXOOXOXXOX\nXXOOXOXOOX\nXOXOOXOOOO\nOXOXXOXXOO\nXXXOOXOXXX\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "10\nXOOOOXOOOX\nOOOOOOOXXX\nOXOOOXXOXO\nOOXXXOOXOX\nOOXXOOOXXO\nXXXXOXOXXX\nXXXOOXOOOO\nXXXXOOXXXO\nOXXXXXXOXX\nXXXOOOXOXO\nXOOOXOOOOX\nXXXOOOOOOO\nOXOXXOOOXO\nXOXOOXXXOO\nOXXOOOXXOO\nXXXOXOXXXX\nOOOOXOOXXX\nOXXXOOXXXX\nXXOXXXXXXO\nOXOXOOOXXX\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "3\nOXO\nOXO\nOOO\nOOO\nOXO\nOXO\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "9\nOXOXXXXOX\nXOXXOXOOO\nOOXOOOXOO\nOOOXXOXOX\nOOXOOOOXX\nOXXXOXOOO\nOOOXXOXOO\nOOXOXXOXO\nOOXOOOXOX\nOXOOOOXOO\nXOOOOXOOO\nOXXOXXOXO\nXXOXOXXOO\nXOOOOOOXO\nXXOOOXOXO\nXOXOOOXOX\nOOXOXOOXO\nXOOXXOOOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "10\nXXOXXOXOOX\nOOOOXOOXXO\nOXXXOOXOOO\nOOXOOOOOOO\nXXXOXOXXXX\nOXXXXOXXOO\nOXXXXOOXXX\nXXOXXOXOXO\nOOOXOOOOOO\nXOOXOOOOXX\nXOOXOOOOXX\nOOOXOOOOOO\nXXOXXOXOXO\nOXXXXOOXXX\nOXXXXOXXOO\nXXXOXOXXXX\nOOXOOOOOOO\nOXXXOOXOOO\nOOOOXOOXXO\nXXOXXOXOOX\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "3\nOXX\nOOO\nXXO\nOOX\nXOO\nOOO\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "4\nOXOO\nXOXX\nOOOO\nOXXX\nOXOO\nXXXO\nOXOO\nOOOO\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "2\nOX\nOX\nXX\nOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "10\nXXXOOOOXOX\nOOOXXXOXXO\nXOXXXXOOXX\nXOOOXXOXOO\nOOXOOOOOOX\nXXXXOXOOOO\nXXXOOXOXOX\nOOOOXOXOXX\nXOXXOXOOXO\nOOOOOXOOOO\nXXXOOOOXOX\nOOOXXXOXXO\nXOXXXXOOXX\nXOOOXXOXOO\nOOXOOOOOOX\nXXXXOXOOOO\nXXXOOXOXOX\nOOOOXOXOXX\nXOXXOXOOXO\nOOOOOXOOOO\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "2\nOO\nOO\nOO\nOO\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "10\nXXOOOOOXXO\nOXOOXOOXXO\nXOOXOXXXXO\nOXXXXOXOXO\nXXXOXXOXOO\nOXOOOOOXOX\nXOXOXOOOXO\nOXXXOOOOOX\nXXOOOOOXOO\nXOXXXOOXXX\nXXOXOXOXOX\nOXXOXXXOXX\nXOXXOXXOOO\nXOXOOOXXOO\nXOOXOXXOXO\nOOOOOXOXOO\nOXOOOOXXOO\nXXOOXXOXXX\nXOOXOOXXXX\nXOXOXOOOOO\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "6\nOOOOOX\nOXOXXX\nXXOOOO\nXXXOXX\nXOOOOX\nOOOXOX\nXXXOXX\nOOXOXO\nXOOOXO\nOOXOOO\nOOXXXO\nOXXXOO\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "1\nO\nO\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "10\nXXOOXOOOXO\nXXOXXXXXXX\nXOOOXOOXXX\nOXOOOXXXXO\nXOOOOOOOOO\nXXOXXXXOOX\nOOOXOXOOOX\nXOXOOXOOXO\nOOXOOXOXXO\nXOXOXOXXOO\nOOOXXOOXXO\nOXXOOOOXOX\nXXOOOOXXXO\nXOOOXOXOXO\nOXXXXOXOXO\nXOOOXOOXXX\nOOOXXOOOXO\nXXXOOOOOOO\nOOOOXOXOXX\nXOXOXXOXXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "10\nXOOXOXXXXX\nXOXXOXOXXX\nOOOXOXOOOX\nOOOXXXOOXX\nOXOXXOXOXO\nOXXOXOOOOO\nOXOOXXOXXO\nOOXOXXXXOX\nXOXXXXOOXX\nXOOOOXXOOX\nXXXOOOXXXX\nOXOXOXXOXX\nOOXXOOOOXX\nXOXOOXOOOX\nXXXXOOXXXX\nOXXXXXXOOO\nOXOOOXXXXX\nOXXOXOOOXO\nOOOXXXOOOO\nXXOOOOOOXX\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "5\nXXXXO\nOXOXO\nXOXOO\nXOXXX\nXOXXX\nXXXXO\nOXOXO\nXOXOO\nXOXXX\nXOXXX\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "2\nOX\nXO\nXO\nOX\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "10\nXOXXOXXOOX\nOXXOXOXXXX\nXXOOXOXOOO\nOXOOOOXOOO\nOOOOOOOXOX\nXXOXXOOXOX\nXOXOXOOOOX\nOXOXOOXXOX\nXOXOXOXXXO\nOOXOXXXXXX\nOOXOOXXXXX\nXOXOXOXXXO\nOXOXOOXXOX\nXOXXXOOOOX\nXXOXXOOXOX\nOOOOOOOXOX\nOXOOOOXOOO\nXXOOXOXOOO\nOXXOXOXXXX\nXOXOOXXOOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "1\nX\nO\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "7\nXOXOOXO\nXOOOXXO\nXOOXXXO\nXOOXXOO\nOXXOOXX\nXXOOOXO\nXXOXXXX\nXOXOOXX\nXOOOXXO\nXOOOXXO\nXOOXXOO\nXXXXOXX\nXXOOOXO\nXXOXOOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "2\nOX\nOX\nXO\nXO\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "8\nOXOOOOOO\nXOXOXXXO\nOXXXXXOX\nOOXXOXOO\nXOOOXOOO\nXOOXXOXO\nOOXXXXXX\nXXXOOXXX\nOXOOXXOO\nXOXOOOOX\nOOXXOOXX\nOOXXOXXO\nOXXOXXXX\nOXOXXOXO\nOXOOOXXX\nOOXOOOXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "7\nOOXXOOX\nXOXOOXO\nOOOXOOO\nXXOOOXX\nXXXXXOX\nXOXOOOO\nXOXOOOX\nOXOXXXX\nOOOXXOO\nXXOOXXX\nXOXOXOO\nOOOOXOO\nOXOXOOO\nXOOXXOX\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "10\nXXXOOOOOXO\nXXOXOOXOXX\nXOXXXXXXXO\nXOXOXOOXXX\nXXOOXXOXXO\nOOOOOOOOXX\nOOXOXXOOXX\nXXXXOXXOOO\nXOXOXXXOXX\nOXXOXXOOOO\nOXOXOXXOXO\nXXXXXXXOXO\nOOXXXOOOOO\nOXXOOOOXXO\nOOXOXOXXXX\nOOXXXOXOXX\nOXXOOOOXOO\nXOXXOOXXXX\nXXOOXOOXOX\nXXXXXOOXXO\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "10\nXOXXXXXOOO\nOXXOOXXOXX\nXXXXXOOXOX\nOOOOOXOXOX\nOXXOXXXOXO\nXOOXOXXXXX\nXOOOOOOOOX\nOOXXOOXXXX\nOOOOXXOOOX\nXXXXXOOOXX\nXXOOOXXXXX\nXOOOXXOOOO\nXXXXOOXXOO\nXOOOOOOOOX\nXXXXXOXOOX\nOXOXXXOXXO\nXOXOXOOOOO\nXOXOOXXXXX\nXXOXXOOXXO\nOOOXXXXXOX\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "10\nXXOXOOOOXX\nXOXXXOXOXO\nOXXXOOXOOO\nXXOXOOXXOX\nXXOXXOXXOO\nOOOXXXXOXO\nOXXXOXOXOO\nOXOXXXXXXX\nXXXOOXXXXX\nXXOOXOOXXO\nXOOOOXXOXX\nXXXXOXXXOX\nOXOXOOOXXO\nOOXXXXXXXX\nXOXOXXOOXO\nOXXXXOOOXX\nOXXXXXXXXO\nXXXXOXXOOO\nXXXOXOOOXX\nOXXXOOXOOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "9\nXXXOXOOXO\nXOOOOXOOO\nOOXXOXOXO\nXXXXOXOXX\nXXXXXXOXO\nOOXOXXOXX\nXXOXXXXXO\nXXXOXOOOO\nXXOOXOOXX\nXXXOXOOXO\nXOOOOXOOO\nOOXXOXOXO\nXXXXOXOXX\nXXXXXXOXO\nOOXOXXOXX\nXXOXXXXXO\nXXXOXOOOO\nXXOOXOOXX\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "10\nXOXXXXXXXX\nOOOOXXXOXO\nXOXXXXOOXX\nXXXOXXXXXO\nOXXXXOXOOO\nOOOOOXOXXX\nXOOOXOOXXX\nXOOOXXXXOO\nOXOOXOXXOX\nOXOXXOXXOX\nXXOXXOOXOX\nOOOXXOXXXX\nXXXXXOXOOX\nXXXOOXXOXO\nOOXOXOXXXX\nXXXXOXXXXX\nXOOOOXOXOX\nOOOXOXXXXX\nXXOOOXXOOO\nOOXXOOXOOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "5\nXOXXX\nXOXXO\nOXOOX\nOOXXX\nOOXXX\nXOXXO\nXXXXO\nOXOOX\nXXXOX\nOOOXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "10\nXXOOOOOXOX\nOOOOXXXOXX\nOOOXOOOOXX\nOXXXXXXOOX\nXOOXOXOOXX\nXOOOOOOXXO\nXXXOOOOXOO\nOOOOXOXOOO\nOXOOOOOXOX\nXXOXXXOXOX\nXXOOOXXXXO\nOOOOXXOOXO\nXXOXXOOOOX\nXOXOOOXOXO\nXOOOOXXOXO\nXOXOOOXOXO\nXOOXOXXXXO\nOOOXOOXOOO\nXXOXOXXOOX\nXOOXXXOOOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "4\nXXXX\nXXOO\nOOOX\nXXOX\nXXOX\nXXOX\nXOOO\nXOXX\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "8\nOXOXXXXX\nXXXXOXOO\nOXOXOXOX\nXXXOXXOX\nOXXOXXXX\nXXOXXXOO\nXXXXOOOO\nOXXXOOOO\nOOOOXXXO\nOOOOXXXX\nOOXXXOXX\nXXXXOXXO\nXOXXOXXX\nXOXOXOXO\nOOXOXXXX\nXXXXXOXO\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "6\nXOOXOO\nXXOOXO\nOXXOOO\nXOOXOO\nOXXXXX\nOOOOXX\nXXOXOO\nOXOOXO\nOOXOOX\nXXOXXO\nOXOOXX\nOOOOXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "2\nOX\nXX\nOX\nXX\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "9\nOXOXXXXOX\nXOXXOXOOO\nOOXOOOXOO\nOOOXXOXOX\nOOXOOOOXX\nOXXXOXOOO\nOOOXXOXOO\nOXOXXOXOO\nOOXOOOXOX\nOXOOOOXOO\nXOOOOXOOO\nOXXOXXOXO\nXXOXOXXOO\nXOOOOOOXO\nXXOOOXOXO\nXOXOOOXOX\nOOXOXOOXO\nXOOXXOOOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "2\nXO\nOX\nOX\nXO\n",
"metadata": {
"func_name": null
},
"output": "Yes\n",
"testtype": "stdin"
},
{
"input": "3\nXXO\nOOO\nXXO\nOOX\nXOO\nOOO\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "10\nXOOXOXXXXX\nXOXXOXOXXX\nXOOOXOXOOO\nOOOXXXOOXX\nOXOXXOXOXO\nOXXOXOOOOO\nOXOOXXOXXO\nOOXOXXXXOX\nXOXXXXOOXX\nXOOOOXXOOX\nXXXOOOXXXX\nOXOXOXXOXX\nOOXXOOOOXX\nXOXOOXOOOX\nXXXXOOXXXX\nOXXXXXXOOO\nOXOOOXXXXX\nOXXOXOOOXO\nOOOXXXOOOO\nXXOOOOOOXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "7\nXXXOOOO\nXOOOXXO\nXOOXXXO\nXOOXXOO\nOXXOOXX\nXXOOOXO\nXXOXXXX\nXOXOOXX\nXOOOXXO\nXOOOXXO\nXOOXXOO\nXXXXOXX\nXXOOOXO\nXXOXOOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "2\nXO\nOX\nXO\nXO\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "10\nXXOXOOOOXX\nXOXXXOXOXO\nOXXXOOXOOO\nXXOXOOXXOX\nXXOXXOXXOO\nOOOXXXXOXO\nOXXXOXOXOO\nOXOXXXXXXX\nXXXOOXXXXX\nXXOOXOOXXO\nXOOOOXXOXX\nXXXXOXXXOX\nOXOXOOOXXO\nOOXXXXXXXX\nXOXOXXOOXO\nOXXXXOOOXX\nOXXXXXXXXO\nXXXXOXXOOO\nXXOOOXOXXX\nOXXXOOXOOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "9\nXXXOXOOXO\nOOOXOOOOX\nOOXXOXOXO\nXXXXOXOXX\nXXXXXXOXO\nOOXOXXOXX\nXXOXXXXXO\nXXXOXOOOO\nXXOOXOOXX\nXXXOXOOXO\nXOOOOXOOO\nOOXXOXOXO\nXXXXOXOXX\nXXXXXXOXO\nOOXOXXOXX\nXXOXXXXXO\nXXXOXOOOO\nXXOOXOOXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "10\nXXOOOOOXOX\nOOOOXXXOXX\nOOOXOOOOXX\nXOOXXXXXXO\nXOOXOXOOXX\nXOOOOOOXXO\nXXXOOOOXOO\nOOOOXOXOOO\nOXOOOOOXOX\nXXOXXXOXOX\nXXOOOXXXXO\nOOOOXXOOXO\nXXOXXOOOOX\nXOXOOOXOXO\nXOOOOXXOXO\nXOXOOOXOXO\nXOOXOXXXXO\nOOOXOOXOOO\nXXOXOXXOOX\nXOOXXXOOOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "8\nOXOXXXXX\nXXXXOXOO\nOXOXOXOX\nXXXOXXOX\nOXXOXXXX\nXXOXXXOO\nXXXXOOOO\nOXXXOOOO\nOXXXOOOO\nOOOOXXXX\nOOXXXOXX\nXXXXOXXO\nXOXXOXXX\nXOXOXOXO\nOOXOXXXX\nXXXXXOXO\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "6\nXOOXOO\nXXOOXO\nOXXOOO\nXOOXOO\nOXXXXX\nOOOXOX\nXXOXOO\nOXOOXO\nOOXOOX\nXXOXXO\nOXOOXX\nOOOOXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "6\nXOOXOO\nXOOXXO\nOXXOOO\nXOOXOO\nOXXXXX\nOOOXOX\nXXOXOO\nOXOOXO\nOOXOOX\nXXOXXO\nOXOOXX\nOOOOXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "2\nXO\nOX\nOX\nOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "6\nXOOXOO\nXOOXXO\nOXXOOO\nXOOXOO\nOXXXXX\nOOOXOX\nXXOXOO\nOXOOXO\nOOXOOX\nXXOXXO\nXXOOXO\nOOOOXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "6\nOOXOOX\nXOOXXO\nOXXOOO\nXOOXOO\nOXXXXX\nOOOXOX\nXXOXOO\nOXOOXO\nOOXOOX\nXXOXXO\nXXOOXO\nOOOOXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "10\nXXXOXOOXXX\nOOXXOXXOXO\nOOOOXOOXOX\nXOOXOXOOXX\nXOXXOXOOXX\nOOOXXOXOXX\nOOOXOOOOXO\nOOXOOXXOXX\nXXOXOOXOOX\nOXXXOOXOXX\nXXOXOOXXXO\nXOOXOOXOXX\nOOXOOXXOXX\nOXOOOOXOOO\nXXOXOXXOOO\nXXOOXOXXOX\nXXOOXOXOOX\nXOXOOXOOOO\nOXOXXOXXOO\nXXXOOXOXXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "3\nOXO\nOXO\nOOO\nOOO\nOXO\nXOO\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "10\nXXOOOOOXXO\nOXXOOXOOXO\nXOOXOXXXXO\nOXXXXOXOXO\nXXXOXXOXOO\nOXOOOOOXOX\nXOXOXOOOXO\nOXXXOOOOOX\nXXOOOOOXOO\nXOXXXOOXXX\nXXOXOXOXOX\nOXXOXXXOXX\nXOXXOXXOOO\nXOXOOOXXOO\nXOOXOXXOXO\nOOOOOXOXOO\nOXOOOOXXOO\nXXOOXXOXXX\nXOOXOOXXXX\nXOXOXOOOOO\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
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"metadata": {
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},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "10\nXOXXOXXOOX\nOXXOXOXXXX\nXXOOXOXOOO\nOXOOOOXOOO\nOOOOOOOXOX\nXXOXXOOXOX\nXOXOXOOOOX\nOXOXOOXXOX\nXOXOXOXXXO\nOOXOXXXXXX\nOOXOOXXXXX\nXOXOXOXXXO\nOOOXXOXXOX\nXOXXXOOOOX\nXXOXXOOXOX\nOOOOOOOXOX\nOXOOOOXOOO\nXXOOXOXOOO\nOXXOXOXXXX\nXOXOOXXOOX\n",
"metadata": {
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},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "2\nOX\nOX\nXO\nOX\n",
"metadata": {
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},
"output": "No\n",
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},
{
"input": "10\nXXOXOOOOXX\nXOXXXOXOXO\nOXXXOOXOOO\nXXOXOOXXOX\nOOXXOXXOXX\nOOOXXXXOXO\nOXXXOXOXOO\nOXOXXXXXXX\nXXXOOXXXXX\nXXOOXOOXXO\nXOOOOXXOXX\nXXXXOXXXOX\nOXOXOOOXXO\nOOXXXXXXXX\nXOXOXXOOXO\nOXXXXOOOXX\nOXXXXXXXXO\nXXXXOXXOOO\nXXXOXOOOXX\nOXXXOOXOOX\n",
"metadata": {
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"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "5\nXOXXX\nOXXOX\nOXOOX\nOOXXX\nOOXXX\nXOXXO\nXXXXO\nOXOOX\nXXXOX\nOOOXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "4\nXXXX\nXXOO\nOOOX\nXXOX\nXOXX\nXXOX\nXOOO\nXOXX\n",
"metadata": {
"func_name": null
},
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{
"input": "8\nOXOXXXXX\nXXXXOXOO\nOXOXOXOX\nXXXOXXOX\nOXXOXXXX\nXXOXXXOO\nXXXXOOOO\nOXXXOOOO\nOOOOXXXO\nOOOOXXXX\nOOXXXOXX\nXXXXOXXO\nXOXXXXOX\nXOXOXOXO\nOOXOXXXX\nXXXXXOXO\n",
"metadata": {
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"output": "No\n",
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},
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"input": "4\nOOOX\nXXOO\nOOOO\nXXXX\nXOOO\nXOOO\nXOXO\nXOXX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
},
{
"input": "9\nOXOXXXXOX\nXOXXOXOOO\nOOXOOOXOO\nOOOXXOXOX\nOOXOOOOXX\nOXXXOXOOO\nOOOXXOXOO\nOXOXXOXOO\nOOXOOOXOX\nOXOOOOXOO\nXOOOOXOOO\nOXXOXXOXO\nXXOXOXXOO\nXOOOOOOXO\nXXOOOXOXO\nXOXOOOXOX\nOXOOXOXOO\nXOOXXOOOX\n",
"metadata": {
"func_name": null
},
"output": "No\n",
"testtype": "stdin"
}
],
"style": "rule"
}
|
{
"index": 0,
"solution": "```python\nn=int(input())\na=[]\nb=[]\nfor i in range(n):\n a.append(input())\nfor i in range(n):\n b.append(input())\n\ndef h(d):\n c=[]\n for i in range(n):\n c.append(d[n-i-1])\n return c\ndef r(d):\n c=[]\n for i in range(n):\n temp=\"\"\n for j in range(n):\n temp+=d[j][n-i-1]\n c.append(temp)\n return c\nyes=0\nfor i in range(4):\n if a==b:\n print('YES')\n yes=1\n break\n a=r(a)\nif yes==0:\n a=h(a)\n for i in range(4):\n if a==b:\n print('YES')\n yes=1\n break\n a=r(a)\nif yes==0:\n print('NO')\n \n \n```",
"split": "train"
}
|
primeintellect
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Solve the following coding problem using the programming language python:\n\nThere is a kangaroo at coordinate 0 on an infinite number line that runs from left to right, at time 0. During the period between time i-1 and time i, the kangaroo can either stay at his position, or perform a jump of length exactly i to the left or to the right. That is, if his coordinate at time i-1 is x, he can be at coordinate x-i, x or x+i at time i. The kangaroo's nest is at coordinate X, and he wants to travel to coordinate X as fast as possible. Find the earliest possible time to reach coordinate X.\n\nConstraints\n\n* X is an integer.\n* 1≤X≤10^9\n\nInput\n\nThe input is given from Standard Input in the following format:\n\n\nX\n\n\nOutput\n\nPrint the earliest possible time for the kangaroo to reach coordinate X.\n\nExamples\n\nInput\n\n6\n\n\nOutput\n\n3\n\n\nInput\n\n2\n\n\nOutput\n\n2\n\n\nInput\n\n11\n\n\nOutput\n\n5\n\nThe input will be given via stdin and the output should be printed to stdout by your code.\n\nNow solve the problem by providing the code.",
"role": "user"
}
] |
code
|
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}
],
"style": "rule"
}
|
{
"index": 1,
"solution": "```python\nimport math\nX = int(input())\nlow_N = (-1 + (1 + 8 * X)**0.5) / 2\nhigh_N = (1 + (1 + 8 * X)**0.5) / 2\nif low_N % 1 == 0:\n print(int(low_N))\nelse:\n print(math.floor(high_N))\n```",
"split": "train"
}
|
primeintellect
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Solve the following coding problem using the programming language python:\n\nAndrewid the Android is a galaxy-famous detective. He is now investigating the case of vandalism at the exhibition of contemporary art.\n\nThe main exhibit is a construction of n matryoshka dolls that can be nested one into another. The matryoshka dolls are numbered from 1 to n. A matryoshka with a smaller number can be nested in a matryoshka with a higher number, two matryoshkas can not be directly nested in the same doll, but there may be chain nestings, for example, 1 → 2 → 4 → 5. \n\nIn one second, you can perform one of the two following operations:\n\n * Having a matryoshka a that isn't nested in any other matryoshka and a matryoshka b, such that b doesn't contain any other matryoshka and is not nested in any other matryoshka, you may put a in b; \n * Having a matryoshka a directly contained in matryoshka b, such that b is not nested in any other matryoshka, you may get a out of b. \n\n\n\nAccording to the modern aesthetic norms the matryoshka dolls on display were assembled in a specific configuration, i.e. as several separate chains of nested matryoshkas, but the criminal, following the mysterious plan, took out all the dolls and assembled them into a single large chain (1 → 2 → ... → n). In order to continue the investigation Andrewid needs to know in what minimum time it is possible to perform this action.\n\nInput\n\nThe first line contains integers n (1 ≤ n ≤ 105) and k (1 ≤ k ≤ 105) — the number of matryoshkas and matryoshka chains in the initial configuration.\n\nThe next k lines contain the descriptions of the chains: the i-th line first contains number mi (1 ≤ mi ≤ n), and then mi numbers ai1, ai2, ..., aimi — the numbers of matryoshkas in the chain (matryoshka ai1 is nested into matryoshka ai2, that is nested into matryoshka ai3, and so on till the matryoshka aimi that isn't nested into any other matryoshka).\n\nIt is guaranteed that m1 + m2 + ... + mk = n, the numbers of matryoshkas in all the chains are distinct, in each chain the numbers of matryoshkas follow in the ascending order.\n\nOutput\n\nIn the single line print the minimum number of seconds needed to assemble one large chain from the initial configuration.\n\nExamples\n\nInput\n\n3 2\n2 1 2\n1 3\n\n\nOutput\n\n1\n\n\nInput\n\n7 3\n3 1 3 7\n2 2 5\n2 4 6\n\n\nOutput\n\n10\n\nNote\n\nIn the first sample test there are two chains: 1 → 2 and 3. In one second you can nest the first chain into the second one and get 1 → 2 → 3.\n\nIn the second sample test you need to disassemble all the three chains into individual matryoshkas in 2 + 1 + 1 = 4 seconds and then assemble one big chain in 6 seconds.\n\nThe input will be given via stdin and the output should be printed to stdout by your code.\n\nNow solve the problem by providing the code.",
"role": "user"
}
] |
code
|
{
"ground_truth": [
{
"input": "3 2\n2 1 2\n1 3\n",
"metadata": {
"func_name": null
},
"output": "1",
"testtype": "stdin"
},
{
"input": "7 3\n3 1 3 7\n2 2 5\n2 4 6\n",
"metadata": {
"func_name": null
},
"output": "10",
"testtype": "stdin"
},
{
"input": "3 2\n1 2\n2 1 3\n",
"metadata": {
"func_name": null
},
"output": "3",
"testtype": "stdin"
},
{
"input": "100 3\n45 1 2 3 4 5 6 7 8 9 19 21 24 27 28 30 34 35 37 39 40 41 42 43 46 47 48 51 52 55 58 59 61 63 64 66 69 71 76 80 85 86 88 89 94 99\n26 10 11 15 18 23 29 31 33 36 38 44 49 54 56 60 62 65 75 78 82 83 84 95 96 97 98\n29 12 13 14 16 17 20 22 25 26 32 45 50 53 57 67 68 70 72 73 74 77 79 81 87 90 91 92 93 100\n",
"metadata": {
"func_name": null
},
"output": "180",
"testtype": "stdin"
},
{
"input": "10 10\n1 5\n1 4\n1 10\n1 3\n1 7\n1 1\n1 8\n1 6\n1 9\n1 2\n",
"metadata": {
"func_name": null
},
"output": "9",
"testtype": "stdin"
},
{
"input": "100 19\n6 62 72 83 91 94 97\n3 61 84 99\n1 63\n5 46 53 56 69 78\n5 41 43 49 74 89\n5 55 57 79 85 87\n3 47 59 98\n3 64 76 82\n3 48 66 75\n2 60 88\n2 67 77\n4 40 51 73 95\n41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 44 71 81\n4 58 65 90 93\n1 100\n5 39 45 52 80 86\n2 50 68\n1 92\n4 42 54 70 96\n",
"metadata": {
"func_name": null
},
"output": "106",
"testtype": "stdin"
},
{
"input": "20 6\n3 8 9 13\n3 4 14 20\n2 15 17\n3 2 5 11\n5 7 10 12 18 19\n4 1 3 6 16\n",
"metadata": {
"func_name": null
},
"output": "33",
"testtype": "stdin"
},
{
"input": "8 5\n2 1 2\n2 3 4\n1 5\n2 6 7\n1 8\n",
"metadata": {
"func_name": null
},
"output": "8",
"testtype": "stdin"
},
{
"input": "5 3\n1 4\n3 1 2 3\n1 5\n",
"metadata": {
"func_name": null
},
"output": "2",
"testtype": "stdin"
},
{
"input": "1 1\n1 1\n",
"metadata": {
"func_name": null
},
"output": "0",
"testtype": "stdin"
},
{
"input": "50 50\n1 2\n1 5\n1 28\n1 46\n1 42\n1 24\n1 3\n1 37\n1 33\n1 50\n1 23\n1 40\n1 43\n1 26\n1 49\n1 34\n1 8\n1 45\n1 15\n1 1\n1 22\n1 18\n1 27\n1 25\n1 13\n1 39\n1 38\n1 10\n1 44\n1 6\n1 17\n1 47\n1 7\n1 35\n1 20\n1 36\n1 31\n1 21\n1 32\n1 29\n1 4\n1 12\n1 19\n1 16\n1 11\n1 41\n1 9\n1 14\n1 30\n1 48\n",
"metadata": {
"func_name": null
},
"output": "49",
"testtype": "stdin"
},
{
"input": "13 8\n1 5\n2 8 10\n1 13\n4 1 2 3 11\n1 7\n2 6 12\n1 4\n1 9\n",
"metadata": {
"func_name": null
},
"output": "13",
"testtype": "stdin"
},
{
"input": "21 13\n1 18\n2 8 13\n1 21\n1 17\n2 7 9\n1 20\n1 19\n1 4\n1 16\n2 5 6\n3 12 14 15\n3 1 2 3\n2 10 11\n",
"metadata": {
"func_name": null
},
"output": "24",
"testtype": "stdin"
},
{
"input": "50 10\n6 17 21 31 42 45 49\n6 11 12 15 22 26 38\n3 9 29 36\n3 10 23 43\n5 14 19 28 46 48\n2 30 39\n6 13 20 24 33 37 47\n8 1 2 3 4 5 6 7 8\n7 16 18 25 27 34 40 44\n4 32 35 41 50\n",
"metadata": {
"func_name": null
},
"output": "75",
"testtype": "stdin"
}
],
"style": "rule"
}
|
{
"index": 2,
"solution": "```python\nn,k = map(int,input().split(\" \"))\ni=0\nres=k\nsh=0\nwhile i<k:\n i+=1\n mas=list(map(int,input().split(\" \")))[1:]\n\n\n if mas[0]==1:\n j=0\n while j<(len(mas)-1):\n\n if(mas[j]+1!=mas[j+1]):\n break\n else:\n j+=1\n sh+=len(mas)-j-1\n res+=len(mas)-j-1\n else:\n res+=len(mas)-1\n sh+=len(mas)-1\n\nprint(sh+res-1)\n\n```",
"split": "train"
}
|
primeintellect
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Solve the following coding problem using the programming language python:\n\nA car number in Berland consists of exactly n digits. A number is called beautiful if it has at least k equal digits. Vasya wants to change the digits in his car's number so that the number became beautiful. To replace one of n digits Vasya has to pay the sum of money, equal to the absolute difference between the old digit and the new one.\n\nHelp Vasya: find the minimum sum of money he should pay to make the number of his car beautiful. You should also find the resulting beautiful number. If there are several such numbers, then print the lexicographically minimum one.\n\nInput\n\nThe first line contains two space-separated integers n and k (2 ≤ n ≤ 104, 2 ≤ k ≤ n) which represent how many digits the number has and how many equal digits a beautiful number should have. The second line consists of n digits. It describes the old number of Vasya's car. It is guaranteed that the number contains no spaces and only contains digits.\n\nOutput\n\nOn the first line print the minimum sum of money Vasya needs to change the number. On the second line print the car's new number. If there are several solutions, print the lexicographically minimum one.\n\nExamples\n\nInput\n\n6 5\n898196\n\n\nOutput\n\n4\n888188\n\n\nInput\n\n3 2\n533\n\n\nOutput\n\n0\n533\n\n\nInput\n\n10 6\n0001112223\n\n\nOutput\n\n3\n0000002223\n\nNote\n\nIn the first sample replacing the second digit with an \"8\" costs |9 - 8| = 1. Replacing the fifth digit with an \"8\" costs the same. Replacing the sixth digit costs |6 - 8| = 2. As a result, Vasya will pay 1 + 1 + 2 = 4 for a beautiful number \"888188\".\n\nThe lexicographical comparison of strings is performed by the < operator in modern programming languages. The string x is lexicographically smaller than the string y, if there exists such i (1 ≤ i ≤ n), that xi < yi, and for any j (1 ≤ j < i) xj = yj. The strings compared in this problem will always have the length n.\n\nThe input will be given via stdin and the output should be printed to stdout by your code.\n\nNow solve the problem by providing the code.",
"role": "user"
}
] |
code
|
{
"ground_truth": [
{
"input": "3 2\n533\n",
"metadata": {
"func_name": null
},
"output": "0\n533\n",
"testtype": "stdin"
},
{
"input": "10 6\n0001112223\n",
"metadata": {
"func_name": null
},
"output": "3\n0000002223\n",
"testtype": "stdin"
},
{
"input": "6 5\n898196\n",
"metadata": {
"func_name": null
},
"output": "4\n888188\n",
"testtype": "stdin"
},
{
"input": "2 2\n11\n",
"metadata": {
"func_name": null
},
"output": "0\n11\n",
"testtype": "stdin"
},
{
"input": "5 4\n21122\n",
"metadata": {
"func_name": null
},
"output": "1\n21222\n",
"testtype": "stdin"
},
{
"input": "356 339\n90713123988967376077374685385857243899541739889434281713194182070073947448051066204296405724136030046475387234588789683960244522406704483328080177635790417478469563537849906260100031272024144948352721319113584314778607455620696032294129842532911886401415747087765570443593673103700483651161340044647214751601613569664275752937177165137014927765832674935091\n",
"metadata": {
"func_name": null
},
"output": "769\n44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444944444444444444444444444444444494444444449444444449944444444444444444444944444444449444444444444444444444494444494449444444944444444444444444444444444494444444444444444444444444444444444444444449444444444944444444444444944444444444944494\n",
"testtype": "stdin"
},
{
"input": "24 5\n438088068198972282890781\n",
"metadata": {
"func_name": null
},
"output": "0\n438088068198972282890781\n",
"testtype": "stdin"
},
{
"input": "16 14\n6124258626539246\n",
"metadata": {
"func_name": null
},
"output": "22\n4444448444449444\n",
"testtype": "stdin"
},
{
"input": "6 5\n223333\n",
"metadata": {
"func_name": null
},
"output": "1\n233333\n",
"testtype": "stdin"
},
{
"input": "5 4\n11233\n",
"metadata": {
"func_name": null
},
"output": "3\n11113\n",
"testtype": "stdin"
},
{
"input": "100 100\n1111111111222222222233333333334444444444555555555566666666667777777777888888888899999999990000000000\n",
"metadata": {
"func_name": null
},
"output": "250\n4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444\n",
"testtype": "stdin"
},
{
"input": "45 32\n293440596342887581257444442930778730382520372\n",
"metadata": {
"func_name": null
},
"output": "44\n393333393333883383337333333933778733383333373\n",
"testtype": "stdin"
},
{
"input": "2 2\n80\n",
"metadata": {
"func_name": null
},
"output": "8\n00\n",
"testtype": "stdin"
},
{
"input": "5 4\n12221\n",
"metadata": {
"func_name": null
},
"output": "1\n12222\n",
"testtype": "stdin"
},
{
"input": "490 406\n6937620658350546677982121486389899418322368306416898602098608742746618866398816281683487378363055175834430809130055167725989297432631546167569254739009984031319216325885901155975051308675689263659830423003844586142203356046853592049537849615230121968733935503099047499243659967467210261734604823020656447423321550183799772473757948538911374517796361954090889656392709554559699998961074109288895345641132806900327583681875693131517858168659050373933110409335022047853526996256346106200848216\n",
"metadata": {
"func_name": null
},
"output": "823\n6666660666660666666666161666666666616666666606616666606066606666666616666666616661666666666666066166666660606160066166666666666666661666166666666666006666061616616666666601166666061606666666666666660666006666666166606666066666666066666666616660161666666666606066066666666666666666610661666606666060666666666661660166666666666666666666611666616666661666060666666666606666666666666661066106666666666661166606600666666661666666666666666666666060666666660606666066066666666666666666606600666666\n",
"testtype": "stdin"
},
{
"input": "3 2\n531\n",
"metadata": {
"func_name": null
},
"output": "2\n331\n",
"testtype": "stdin"
},
{
"input": "5 4\n34445\n",
"metadata": {
"func_name": null
},
"output": "1\n34444\n",
"testtype": "stdin"
},
{
"input": "8 4\n22294777\n",
"metadata": {
"func_name": null
},
"output": "2\n22274777\n",
"testtype": "stdin"
},
{
"input": "8 6\n88899999\n",
"metadata": {
"func_name": null
},
"output": "1\n88999999\n",
"testtype": "stdin"
},
{
"input": "82 80\n2119762952003918195325258677229419698255491250839396799769357665825441616335532825\n",
"metadata": {
"func_name": null
},
"output": "184\n5555555555005555555555555555555555555555555555555555555555555555555555555555555555\n",
"testtype": "stdin"
},
{
"input": "10 8\n2222221134\n",
"metadata": {
"func_name": null
},
"output": "2\n2222221224\n",
"testtype": "stdin"
},
{
"input": "5 2\n11233\n",
"metadata": {
"func_name": null
},
"output": "0\n11233\n",
"testtype": "stdin"
},
{
"input": "2 2\n09\n",
"metadata": {
"func_name": null
},
"output": "9\n00\n",
"testtype": "stdin"
},
{
"input": "200 150\n34567484444444444444768934769793476984376983476983469347693847683947689347239485723985723452390458290385902385902385285490238459028350934902834908239048590328590234890283459023520354820938590238534533\n",
"metadata": {
"func_name": null
},
"output": "232\n44444444444444444444444944449494444944444944444944449444494444444944449444449444444944444444490444490444904444904444444490444449044440944904444904449044490444490444890484449044440444840948490448444444\n",
"testtype": "stdin"
},
{
"input": "156 81\n154048888528343996517566504808882818609764630684954673234602444413507803713170523618021219782031130705466944034778721589983846786551930214111097548781325421\n",
"metadata": {
"func_name": null
},
"output": "99\n144048888448444994414444404808884818409444440484944444444404444414404804414140444418041419784041140704444944044778741489984844784441940414111097448781444441\n",
"testtype": "stdin"
},
{
"input": "4 3\n1335\n",
"metadata": {
"func_name": null
},
"output": "2\n1333\n",
"testtype": "stdin"
},
{
"input": "5 4\n12811\n",
"metadata": {
"func_name": null
},
"output": "1\n11811\n",
"testtype": "stdin"
},
{
"input": "356 339\n18727530110322491776070549894389164202514875576337084940561091677565814783202918608766777999333591081696685745458323205522991485224377299126147574273157595824202975046313913841883104925968711968776557007361205875883513952231318844513999092608545899243407198880666584682945469989857357671356868463711134938889227752085844880450637596495232449479259954807938\n",
"metadata": {
"func_name": null
},
"output": "781\n55555550550555555555050555555555555505555555555555055550555055555555555555505555505555555555555555055555555555555555505555555555555555555555555555555555555555505555055555555555555505555555555555555555005555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555\n",
"testtype": "stdin"
},
{
"input": "16 14\n5214346571127960\n",
"metadata": {
"func_name": null
},
"output": "26\n4444444444444940\n",
"testtype": "stdin"
},
{
"input": "6 4\n223333\n",
"metadata": {
"func_name": null
},
"output": "0\n223333\n",
"testtype": "stdin"
},
{
"input": "45 7\n293440596342887581257444442930778730382520372\n",
"metadata": {
"func_name": null
},
"output": "0\n293440596342887581257444442930778730382520372\n",
"testtype": "stdin"
},
{
"input": "490 295\n6937620658350546677982121486389899418322368306416898602098608742746618866398816281683487378363055175834430809130055167725989297432631546167569254739009984031319216325885901155975051308675689263659830423003844586142203356046853592049537849615230121968733935503099047499243659967467210261734604823020656447423321550183799772473757948538911374517796361954090889656392709554559699998961074109288895345641132806900327583681875693131517858168659050373933110409335022047853526996256346106200848216\n",
"metadata": {
"func_name": null
},
"output": "431\n5955520555550555555952121555559599515522555505515595502095505552555515555595515251555555555555055155555550509150055155525959295552551555155559255559009955051519215525555901155955051505555559255559550525005555555152205555055555592059555559515250121955555955505099055599255559955555210251555505525020555555525521550155599552555555955555911555515595551955090559555592509555559599995951055109255595555551152505900525555551855595151515858158559050555955110509555022055855525995255555105200858215\n",
"testtype": "stdin"
},
{
"input": "3 2\n628\n",
"metadata": {
"func_name": null
},
"output": "2\n626\n",
"testtype": "stdin"
},
{
"input": "8 2\n88899999\n",
"metadata": {
"func_name": null
},
"output": "0\n88899999\n",
"testtype": "stdin"
},
{
"input": "82 80\n2996285457107359568818566990861731528952729699841502645784479071349040947427034947\n",
"metadata": {
"func_name": null
},
"output": "192\n5555555555505555555555555550555555555555555555555555555555555555555555555555555555\n",
"testtype": "stdin"
},
{
"input": "10 10\n2222221134\n",
"metadata": {
"func_name": null
},
"output": "5\n2222222222\n",
"testtype": "stdin"
},
{
"input": "2 2\n10\n",
"metadata": {
"func_name": null
},
"output": "1\n00\n",
"testtype": "stdin"
},
{
"input": "3 2\n893\n",
"metadata": {
"func_name": null
},
"output": "1\n883\n",
"testtype": "stdin"
},
{
"input": "10 1\n0001112223\n",
"metadata": {
"func_name": null
},
"output": "0\n0001112223\n",
"testtype": "stdin"
},
{
"input": "45 14\n293440596342887581257444442930778730382520372\n",
"metadata": {
"func_name": null
},
"output": "6\n293440496342887481247444442930778730482420472\n",
"testtype": "stdin"
},
{
"input": "3 2\n812\n",
"metadata": {
"func_name": null
},
"output": "1\n811\n",
"testtype": "stdin"
},
{
"input": "10 10\n2259555677\n",
"metadata": {
"func_name": null
},
"output": "15\n5555555555\n",
"testtype": "stdin"
},
{
"input": "3 3\n893\n",
"metadata": {
"func_name": null
},
"output": "6\n888\n",
"testtype": "stdin"
},
{
"input": "45 14\n496654070630446656634882688140691349737853066\n",
"metadata": {
"func_name": null
},
"output": "3\n496654060630446656634882688140691349636853066\n",
"testtype": "stdin"
},
{
"input": "10 10\n3044335284\n",
"metadata": {
"func_name": null
},
"output": "14\n3333333333\n",
"testtype": "stdin"
},
{
"input": "45 27\n496654070630446656634882688140691349737853066\n",
"metadata": {
"func_name": null
},
"output": "26\n496664060630666666636662666160691369636663066\n",
"testtype": "stdin"
},
{
"input": "16 14\n1806835839259609\n",
"metadata": {
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{
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"input": "200 150\n25664412218043869927993106658244823510106845113148416423582777199729072498761594045915949266631552737257838593738821046777843037543579061599636204774956445699535382429098787631739934193267953053819546\n",
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"input": "490 295\n6125781048912156481871431864218513782924540998794700007980093036944352201186605115850260674602489633856686480097568807039393833601858641068030187657852181838202912022726522563498134259829869336454687781795103658616806779529141204884720324014804388593289660550990394788436908728115816594916936149846102378947071306773745458131906776112234991514263781622805331168596323098979242660155907628523555573981772559337328192784314966100417616516895266102207851610571051302721326785085438028881932616\n",
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{
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{
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},
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],
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}
|
{
"index": 3,
"solution": "```python\n#------------------------template--------------------------#\nimport os\nimport sys\nfrom math import *\nfrom collections import *\nfrom fractions import *\nfrom bisect import *\nfrom heapq import*\nfrom io import BytesIO, IOBase\ndef vsInput():\n sys.stdin = open('input.txt', 'r')\n sys.stdout = open('output.txt', 'w')\nBUFSIZE = 8192\nclass FastIO(IOBase):\n newlines = 0\n def __init__(self, file):\n self._fd = file.fileno()\n self.buffer = BytesIO()\n self.writable = \"x\" in file.mode or \"r\" not in file.mode\n self.write = self.buffer.write if self.writable else None\n def read(self):\n while True:\n b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n if not b:\n break\n ptr = self.buffer.tell()\n self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n self.newlines = 0\n return self.buffer.read()\n def readline(self):\n while self.newlines == 0:\n b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n self.newlines = b.count(b\"\\n\") + (not b)\n ptr = self.buffer.tell()\n self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n self.newlines -= 1\n return self.buffer.readline()\n def flush(self):\n if self.writable:\n os.write(self._fd, self.buffer.getvalue())\n self.buffer.truncate(0), self.buffer.seek(0)\nclass IOWrapper(IOBase):\n def __init__(self, file):\n self.buffer = FastIO(file)\n self.flush = self.buffer.flush\n self.writable = self.buffer.writable\n self.write = lambda s: self.buffer.write(s.encode(\"ascii\"))\n self.read = lambda: self.buffer.read().decode(\"ascii\")\n self.readline = lambda: self.buffer.readline().decode(\"ascii\")\nsys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)\ninput = lambda: sys.stdin.readline().rstrip(\"\\r\\n\")\nALPHA='abcdefghijklmnopqrstuvwxyz'\nM=10**9+7\nEPS=1e-6\ndef value():return tuple(map(int,input().split()))\ndef array():return [int(i) for i in input().split()]\ndef Int():return int(input())\ndef Str():return input()\ndef arrayS():return [i for i in input().split()]\n\n\n#-------------------------code---------------------------#\n# vsInput()\n\n\ndef fun(a):\n \n if(a[1]==0): return a\n else: return (a[0],a[1],-a[2])\n\n return a\ndef operate(x):\n\n ans=list(s)\n c=[]\n\n for i in range(n):\n c.append((abs(x-int(s[i])),int(x>int(s[i])),i))\n\n c.sort(key=fun)\n cost=0\n\n # print(c)\n\n for i in range(k):\n cost+=c[i][0]\n ans[c[i][-1]]=str(x)\n\n return (cost,''.join(ans))\n\n\n\n\nn,k=value()\ns=input()\n\nminCost=inf\nans=s\n\n# operate(3)\n\nfor i in range(10):\n cost,t=operate(i)\n if(cost<minCost):\n minCost=cost\n ans=t\n elif(cost==minCost):\n ans=min(ans,t)\n\nprint(minCost)\nprint(ans)\n\n\n\n\n\n\n\n\n \n\n \n\n\n\n\n\n\n\n\n\n \n```",
"split": "train"
}
|
primeintellect
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Solve the following coding problem using the programming language python:\n\nA tree is an undirected connected graph without cycles.\n\nLet's consider a rooted undirected tree with n vertices, numbered 1 through n. There are many ways to represent such a tree. One way is to create an array with n integers p1, p2, ..., pn, where pi denotes a parent of vertex i (here, for convenience a root is considered its own parent).\n\n<image> For this rooted tree the array p is [2, 3, 3, 2].\n\nGiven a sequence p1, p2, ..., pn, one is able to restore a tree:\n\n 1. There must be exactly one index r that pr = r. A vertex r is a root of the tree. \n 2. For all other n - 1 vertices i, there is an edge between vertex i and vertex pi. \n\n\n\nA sequence p1, p2, ..., pn is called valid if the described procedure generates some (any) rooted tree. For example, for n = 3 sequences (1,2,2), (2,3,1) and (2,1,3) are not valid.\n\nYou are given a sequence a1, a2, ..., an, not necessarily valid. Your task is to change the minimum number of elements, in order to get a valid sequence. Print the minimum number of changes and an example of a valid sequence after that number of changes. If there are many valid sequences achievable in the minimum number of changes, print any of them.\n\nInput\n\nThe first line of the input contains an integer n (2 ≤ n ≤ 200 000) — the number of vertices in the tree.\n\nThe second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ n).\n\nOutput\n\nIn the first line print the minimum number of elements to change, in order to get a valid sequence.\n\nIn the second line, print any valid sequence possible to get from (a1, a2, ..., an) in the minimum number of changes. If there are many such sequences, any of them will be accepted.\n\nExamples\n\nInput\n\n4\n2 3 3 4\n\n\nOutput\n\n1\n2 3 4 4 \n\n\nInput\n\n5\n3 2 2 5 3\n\n\nOutput\n\n0\n3 2 2 5 3 \n\n\nInput\n\n8\n2 3 5 4 1 6 6 7\n\n\nOutput\n\n2\n2 3 7 8 1 6 6 7\n\nNote\n\nIn the first sample, it's enough to change one element. In the provided output, a sequence represents a tree rooted in a vertex 4 (because p4 = 4), which you can see on the left drawing below. One of other correct solutions would be a sequence 2 3 3 2, representing a tree rooted in vertex 3 (right drawing below). On both drawings, roots are painted red.\n\n<image>\n\nIn the second sample, the given sequence is already valid.\n\nThe input will be given via stdin and the output should be printed to stdout by your code.\n\nNow solve the problem by providing the code.",
"role": "user"
}
] |
code
|
{
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{
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},
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},
{
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},
"output": "1 \n2 3 3 3 \n",
"testtype": "stdin"
},
{
"input": "3\n2 1 1\n",
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},
"output": "1\n2 2 1 ",
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},
{
"input": "6\n6 2 6 2 4 2\n",
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},
"output": "0\n6 2 6 2 4 2 ",
"testtype": "stdin"
},
{
"input": "2\n1 2\n",
"metadata": {
"func_name": null
},
"output": "1 \n1 1 \n",
"testtype": "stdin"
},
{
"input": "8\n2 1 2 2 6 5 6 6\n",
"metadata": {
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},
"output": "2 \n2 2 2 2 6 2 6 6 \n",
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},
{
"input": "18\n2 3 4 5 2 7 8 9 10 7 11 12 14 15 13 17 18 18\n",
"metadata": {
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},
"output": "5 \n2 3 4 5 11 7 8 9 10 11 11 11 14 15 11 17 18 11 \n",
"testtype": "stdin"
},
{
"input": "7\n1 2 3 4 5 6 7\n",
"metadata": {
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},
"output": "6 \n1 1 1 1 1 1 1 \n",
"testtype": "stdin"
},
{
"input": "7\n4 3 2 6 3 5 2\n",
"metadata": {
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},
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{
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},
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{
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},
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{
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},
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},
{
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},
"output": "5\n1 1 1 1 1 1 1\n",
"testtype": "stdin"
},
{
"input": "7\n4 3 2 6 5 5 2\n",
"metadata": {
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},
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"testtype": "stdin"
},
{
"input": "7\n1 2 3 4 7 1 7\n",
"metadata": {
"func_name": null
},
"output": "4\n1 1 1 1 7 1 1\n",
"testtype": "stdin"
},
{
"input": "7\n4 3 1 6 5 5 2\n",
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},
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},
{
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},
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},
{
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},
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{
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},
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{
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},
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},
{
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{
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},
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"testtype": "stdin"
},
{
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},
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},
{
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},
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},
{
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},
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},
{
"input": "7\n1 2 3 1 5 1 4\n",
"metadata": {
"func_name": null
},
"output": "3\n1 1 1 1 1 1 4\n",
"testtype": "stdin"
},
{
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"metadata": {
"func_name": null
},
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"testtype": "stdin"
},
{
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},
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},
{
"input": "7\n4 1 1 6 4 3 1\n",
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"func_name": null
},
"output": "1\n1 1 1 6 4 3 1\n",
"testtype": "stdin"
},
{
"input": "7\n7 1 2 6 4 3 1\n",
"metadata": {
"func_name": null
},
"output": "1\n1 1 2 6 4 3 1\n",
"testtype": "stdin"
},
{
"input": "7\n7 1 2 6 4 3 2\n",
"metadata": {
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},
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},
{
"input": "7\n7 2 2 6 4 3 2\n",
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},
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},
{
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},
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{
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},
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},
{
"input": "18\n2 3 4 5 2 7 8 9 2 7 11 12 14 15 13 17 18 18\n",
"metadata": {
"func_name": null
},
"output": "4\n2 11 4 5 2 7 8 9 2 7 11 11 11 15 13 17 18 11\n",
"testtype": "stdin"
},
{
"input": "7\n1 2 3 5 5 6 7\n",
"metadata": {
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},
"output": "5\n1 1 1 5 1 1 1\n",
"testtype": "stdin"
},
{
"input": "7\n4 3 2 7 3 5 2\n",
"metadata": {
"func_name": null
},
"output": "1\n4 2 2 7 3 5 2\n",
"testtype": "stdin"
},
{
"input": "7\n7 5 3 1 2 1 6\n",
"metadata": {
"func_name": null
},
"output": "2\n3 3 3 1 2 1 6\n",
"testtype": "stdin"
},
{
"input": "7\n1 6 4 2 5 6 7\n",
"metadata": {
"func_name": null
},
"output": "3\n1 6 4 2 1 1 1\n",
"testtype": "stdin"
},
{
"input": "5\n5 2 2 5 3\n",
"metadata": {
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"input": "7\n4 3 4 6 5 5 3\n",
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"input": "7\n5 3 1 6 5 5 2\n",
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"input": "4\n3 3 1 4\n",
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"output": "1\n4 3 1 4\n",
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"input": "7\n6 3 2 6 5 5 3\n",
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"input": "7\n4 3 1 6 5 1 2\n",
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"input": "7\n1 2 2 7 5 1 4\n",
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"input": "7\n4 1 1 6 5 1 2\n",
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"input": "7\n7 2 2 6 4 3 4\n",
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"metadata": {
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"testtype": "stdin"
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{
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"metadata": {
"func_name": null
},
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"testtype": "stdin"
},
{
"input": "7\n1 4 2 6 4 3 2\n",
"metadata": {
"func_name": null
},
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"testtype": "stdin"
},
{
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"metadata": {
"func_name": null
},
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"testtype": "stdin"
},
{
"input": "7\n4 1 2 6 4 3 2\n",
"metadata": {
"func_name": null
},
"output": "1\n1 1 2 6 4 3 2\n",
"testtype": "stdin"
},
{
"input": "7\n5 1 2 6 4 3 2\n",
"metadata": {
"func_name": null
},
"output": "1\n1 1 2 6 4 3 2\n",
"testtype": "stdin"
},
{
"input": "7\n1 4 2 7 5 1 3\n",
"metadata": {
"func_name": null
},
"output": "2\n1 1 2 7 1 1 3\n",
"testtype": "stdin"
}
],
"style": "rule"
}
|
{
"index": 4,
"solution": "```python\nfrom collections import defaultdict\nfrom sys import stdin,setrecursionlimit\nsetrecursionlimit(10**6)\nimport threading\ndef f(a):\n\tn=len(a)\n\ta=list(map(lambda s:s-1,a))\n\troot=None\n\tfor i in range(len(a)):\n\t\tif a[i]==i:\n\t\t\troot=i\n\tvis=[0]*(n)\n\ttraitors=[]\n\tfor i in range(0,n):\n\t\tcycle=-1\n\t\tcur=i\n\t\tmove=set()\n\n\t\twhile vis[cur]==0:\n\t\t\tvis[cur]=1\n\t\t\tmove.add(cur)\n\t\t\tif a[cur] in move:\n\t\t\t\tcycle=cur\n\t\t\tcur=a[cur]\n\t\tif cycle!=-1:\n\t\t\ttraitors.append(cycle)\n\tans=len(traitors)-1\n\tif root==None:\n\t\ta[traitors[0]]=traitors[0]\n\t\troot=traitors[0]\n\t\tans+=1\n\tfor i in traitors:\n\t\tif i!=root:\n\t\t\ta[i]=root\n\tprint(ans)\n\ta=list(map(lambda s:s+1,a))\n\treturn a\nn=input()\na=list(map(int,input().strip().split()))\nprint(*f(a))\n```",
"split": "train"
}
|
primeintellect
| [{"content":"You are a helpful assistant.","role":"system"},{"content":"Solve the following coding p(...TRUNCATED)
|
code
| {"ground_truth":[{"input":"200000 26\n","metadata":{"func_name":null},"output":"aazzyyzxyxxzwywxwwzv(...TRUNCATED)
| {"index":5,"solution":"```python\ndef createks(k):\n\tks = ['a', 'a']\n\tif k == 1:\n\t\treturn ks\n(...TRUNCATED)
|
primeintellect
| [{"content":"You are a helpful assistant.","role":"system"},{"content":"Solve the following coding p(...TRUNCATED)
|
code
| {"ground_truth":[{"input":"4 6\n1 4\n2 3\n1 3\n1 2\n3 4\n2 4\n","metadata":{"func_name":null},"outpu(...TRUNCATED)
| {"index":6,"solution":"```python\n(n, m) = map(int, input().split())\nE = [[] for _ in range(n)]\nfo(...TRUNCATED)
|
primeintellect
| [{"content":"You are a helpful assistant.","role":"system"},{"content":"Solve the following coding p(...TRUNCATED)
|
code
| {"ground_truth":[{"input":"8 6\n4 5\n3 5\n2 5\n1 2\n2 8\n6 7\n","metadata":{"func_name":null},"outpu(...TRUNCATED)
| {"index":7,"solution":"```python\n(n, m) = [int(x) for x in input().split()]\nvalues = [1] * n\nnode(...TRUNCATED)
|
primeintellect
| [{"content":"You are a helpful assistant.","role":"system"},{"content":"Solve the following coding p(...TRUNCATED)
|
code
| {"ground_truth":[{"input":"2\n3 8\n10\n","metadata":{"func_name":null},"output":"3\n","testtype":"st(...TRUNCATED)
| {"index":8,"solution":"```python\nm = int(input())\nlistValue = input().split()\nx = input().rstrip((...TRUNCATED)
|
primeintellect
| [{"content":"You are a helpful assistant.","role":"system"},{"content":"Solve the following coding p(...TRUNCATED)
|
code
| {"ground_truth":[{"input":"4\n3 0 3\n4 -3 5\n42 -33 55\n69 -42 146\n","metadata":{"func_name":null},(...TRUNCATED)
| {"index":9,"solution":"```python\nimport sys\ninput = sys.stdin.readline\n\nmod = 10 ** 9 + 7\nfor t(...TRUNCATED)
|
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