text: # Wood Cut
  
  ID; 183; hard; 木材加工
  
  ## Solution 1 (Java)
  
  ``````public class Solution {
  /**
  * @param L: Given n pieces of wood with length L[i]
  * @param k: An integer
  * @return: The maximum length of the small pieces
  */
  public int woodCut(int[] L, int k) {
  if (L == null || L.length == 0)
  return 0;
  int maxLength = findMaxWoodLength(L);
  int left = 1, right = maxLength;
  
  while (left + 1 < right) {
  int mid = left + (right - left) / 2;
  int counts = countPieces(L, mid);
  if (counts >= k) {
  left = mid;
  } else {
  right = mid;
  }
  }
  
  if (countPieces(L, right) >= k) return right;
  if (countPieces(L, left) >= k) return left;
  return 0;
  }
  
  private int findMaxWoodLength(int[] L) {
  int max = 0;
  for (int l : L) {
  max = Math.max(max, l);
  }
  return max;
  }
  
  private int countPieces(int[] L, int cutLength) {
  int counts = 0;
  for (int l : L) {
  counts += l / cutLength;
  }
  return counts;
  }
  }``````
  
  ### Notes
  
  There are two key requirements in this problem:
  
  1. The woods need to be cut into `k` pieces of the same length.
  
  2. The length of the pieces should be maximized.
  
  We use binary search to search for the cut length, i.e., the length of the pieces. The initial range for this length is `[1, max]` where `max` is the maximum length among the woods. We take the middle number and count the number of pieces using that number as the cut length.
  
  • If `count ≥ k`, the first requirement is satisfied but we still need to test the second requirement, so we do not immediately return. Now the new range is `[mid, max]`.
  
  • If `count < k`, the first requirement is not satisfied, which means we are cutting too much. Then, the new range is `[1, mid]`.
  
  Lastly, we end up with the range `[left, right]`. To satisfy the two requirements, we would return `right` if possible since `right` is larger than `left`.
  
  Last updated
explanation: The document describes a programming problem related to cutting wood into pieces of the same length, with the goal of maximizing the length of these pieces while ensuring a specific number of pieces (`k`) is achieved. The document includes a Java solution to the problem and an explanation of the approach, which involves using binary search to find the optimal cut length.
  
  The document does not contain a direct math question or a question and answer pair. It is primarily a programming problem and solution.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Wood Cut
  
  ID; 183; hard; 木材加工
  
  ## Solution 1 (Java)
  
  ``````public class Solution {
  /**
  * @param L: Given n pieces of wood with length L[i]
  * @param k: An integer
  * @return: The maximum length of the small pieces
  */
  public int woodCut(int[] L, int k) {
  if (L == null || L.length == 0)
  return 0;
  int maxLength = findMaxWoodLength(L);
  int left = 1, right = maxLength;
  
  while (left + 1 < right) {
  int mid = left + (right - left) / 2;
  int counts = countPieces(L, mid);
  if (counts >= k) {
  left = mid;
  } else {
  right = mid;
  }
  }
  
  if (countPieces(L, right) >= k) return right;
  if (countPieces(L, left) >= k) return left;
  return 0;
  }
  
  private int findMaxWoodLength(int[] L) {
  int max = 0;
  for (int l : L) {
  max = Math.max(max, l);
  }
  return max;
  }
  
  private int countPieces(int[] L, int cutLength) {
  int counts = 0;
  for (int l : L) {
  counts += l / cutLength;
  }
  return counts;
  }
  }``````
  
  ### Notes
  
  There are two key requirements in this problem:
  
  1. The woods need to be cut into `k` pieces of the same length.
  
  2. The length of the pieces should be maximized.
  
  We use binary search to search for the cut length, i.e., the length of the pieces. The initial range for this length is `[1, max]` where `max` is the maximum length among the woods. We take the middle number and count the number of pieces using that number as the cut length.
  
  • If `count ≥ k`, the first requirement is satisfied but we still need to test the second requirement, so we do not immediately return. Now the new range is `[mid, max]`.
  
  • If `count < k`, the first requirement is not satisfied, which means we are cutting too much. Then, the new range is `[1, mid]`.
  
  Lastly, we end up with the range `[left, right]`. To satisfy the two requirements, we would return `right` if possible since `right` is larger than `left`.
  
  Last updated
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document describes a programming problem related to cutting wood into pieces of the same length, with the goal of maximizing the length of these pieces while ensuring a specific number of pieces (`k`) is achieved. The document includes a Java solution to the problem and an explanation of the approach, which involves using binary search to find the optimal cut length.
  
  The document does not contain a direct math question or a question and answer pair. It is primarily a programming problem and solution.
  
  Label: no-question