{
  "id": 3760,
  "name": "assign-elements-to-groups-with-constraints",
  "difficulty": "Medium",
  "link": "https://leetcode.com/problems/assign-elements-to-groups-with-constraints/",
  "date": "2025-02-02",
  "task_description": "You are given an integer array `groups`, where `groups[i]` represents the size of the `ith` group. You are also given an integer array `elements`. Your task is to assign **one** element to each group based on the following rules: An element at index `j` can be assigned to a group `i` if `groups[i]` is **divisible** by `elements[j]`. If there are multiple elements that can be assigned, assign the element with the **smallest index** `j`. If no element satisfies the condition for a group, assign -1 to that group. Return an integer array `assigned`, where `assigned[i]` is the index of the element chosen for group `i`, or -1 if no suitable element exists. **Note**: An element may be assigned to more than one group. **Example 1:** **Input:** groups = [8,4,3,2,4], elements = [4,2] **Output:** [0,0,-1,1,0] **Explanation:** `elements[0] = 4` is assigned to groups 0, 1, and 4. `elements[1] = 2` is assigned to group 3. Group 2 cannot be assigned any element. **Example 2:** **Input:** groups = [2,3,5,7], elements = [5,3,3] **Output:** [-1,1,0,-1] **Explanation:** `elements[1] = 3` is assigned to group 1. `elements[0] = 5` is assigned to group 2. Groups 0 and 3 cannot be assigned any element. **Example 3:** **Input:** groups = [10,21,30,41], elements = [2,1] **Output:** [0,1,0,1] **Explanation:** `elements[0] = 2` is assigned to the groups with even values, and `elements[1] = 1` is assigned to the groups with odd values. **Constraints:** `1 <= groups.length <= 105` `1 <= elements.length <= 105` `1 <= groups[i] <= 105` `1 <= elements[i] <= 105`",
  "test_case": [
    {
      "label": "Example 1",
      "input": "groups = [8,4,3,2,4], elements = [4,2]",
      "output": "[0,0,-1,1,0] "
    },
    {
      "label": "Example 2",
      "input": "groups = [2,3,5,7], elements = [5,3,3]",
      "output": "[-1,1,0,-1] "
    },
    {
      "label": "Example 3",
      "input": "groups = [10,21,30,41], elements = [2,1]",
      "output": "[0,1,0,1] "
    }
  ],
  "constraints": [
    "An element at index j can be assigned to a group i if groups[i] is divisible by elements[j].",
    "If there are multiple elements that can be assigned, assign the element with the smallest index j.",
    "If no element satisfies the condition for a group, assign -1 to that group.",
    "elements[0] = 4 is assigned to groups 0, 1, and 4.",
    "elements[1] = 2 is assigned to group 3.",
    "Group 2 cannot be assigned any element.",
    "elements[1] = 3 is assigned to group 1.",
    "elements[0] = 5 is assigned to group 2.",
    "Groups 0 and 3 cannot be assigned any element.",
    "1 <= groups.length <= 105",
    "1 <= elements.length <= 105",
    "1 <= groups[i] <= 105",
    "1 <= elements[i] <= 105"
  ],
  "python_template": "class Solution(object):\n    def assignElements(self, groups, elements):\n        \"\"\"\n        :type groups: List[int]\n        :type elements: List[int]\n        :rtype: List[int]\n        \"\"\"\n        ",
  "java_template": "class Solution {\n    public int[] assignElements(int[] groups, int[] elements) {\n        \n    }\n}",
  "metadata": {
    "func_name": "assignElements"
  }
}