Minimum Number of Groups to Create a Valid AssignmentMy SubmissionsBack to ContestUser Accepted:708User Tried:4579Total Accepted:745Total Submissions:10584Difficulty:MediumYou are given a 0-indexed integer array nums of length n.We want to group the indices so for each index i in the range [0, n - 1], it is assigned to exactly one group.A group assignment is valid if the following conditions hold:For every group g, all indices i assigned to group g have the same value in nums.For any two groups g1 and g2, the difference between the number of indices assigned to g1 and g2 should not exceed 1.Return an integer denoting the minimum number of groups needed to create a valid group assignment. Example 1:Input: nums = [3,2,3,2,3]Output: 2Explanation: One way the indices can be assigned to 2 groups is as follows, where the values in square brackets are indices:group 1 -> [0,2,4]group 2 -> [1,3]All indices are assigned to one group.In group 1, nums[0] == nums[2] == nums[4], so all indices have the same value.In group 2, nums[1] == nums[3], so all indices have the same value.The number of indices assigned to group 1 is 3, and the number of indices assigned to group 2 is 2.Their difference doesn't exceed 1.It is not possible to use fewer than 2 groups because, in order to use just 1 group, all indices assigned to that group must have the same value.Hence, the answer is 2.Example 2:Input: nums = [10,10,10,3,1,1]Output: 4Explanation: One way the indices can be assigned to 4 groups is as follows, where the values in square brackets are indices:group 1 -> [0]group 2 -> [1,2]group 3 -> [3]group 4 -> [4,5]The group assignment above satisfies both conditions.It can be shown that it is not possible to create a valid assignment using fewer than 4 groups.Hence, the answer is 4. Constraints:1 <= nums.length <= 1051 <= nums[i] <= 109
Question
Minimum Number of Groups to Create a Valid AssignmentMy SubmissionsBack to ContestUser Accepted:708User Tried:4579Total Accepted:745Total Submissions:10584Difficulty:MediumYou are given a 0-indexed integer array nums of length n.We want to group the indices so for each index i in the range [0, n - 1], it is assigned to exactly one group.A group assignment is valid if the following conditions hold:For every group g, all indices i assigned to group g have the same value in nums.For any two groups g1 and g2, the difference between the number of indices assigned to g1 and g2 should not exceed 1.Return an integer denoting the minimum number of groups needed to create a valid group assignment. Example 1:Input: nums = [3,2,3,2,3]Output: 2Explanation: One way the indices can be assigned to 2 groups is as follows, where the values in square brackets are indices:group 1 -> [0,2,4]group 2 -> [1,3]All indices are assigned to one group.In group 1, nums[0] == nums[2] == nums[4], so all indices have the same value.In group 2, nums[1] == nums[3], so all indices have the same value.The number of indices assigned to group 1 is 3, and the number of indices assigned to group 2 is 2.Their difference doesn't exceed 1.It is not possible to use fewer than 2 groups because, in order to use just 1 group, all indices assigned to that group must have the same value.Hence, the answer is 2.Example 2:Input: nums = [10,10,10,3,1,1]Output: 4Explanation: One way the indices can be assigned to 4 groups is as follows, where the values in square brackets are indices:group 1 -> [0]group 2 -> [1,2]group 3 -> [3]group 4 -> [4,5]The group assignment above satisfies both conditions.It can be shown that it is not possible to create a valid assignment using fewer than 4 groups.Hence, the answer is 4. Constraints:1 <= nums.length <= 1051 <= nums[i] <= 109
Solution
This problem is about grouping elements in an array based on their values and the size of the groups. The goal is to find the minimum number of groups needed to satisfy two conditions: all elements in a group have the same value, and the size difference between any two groups is at most 1.
Here is a step-by-step solution:
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Count the frequency of each number in the array. This can be done by using a hash map where the keys are the numbers in the array and the values are their frequencies.
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Sort the frequencies in descending order. This can be done by converting the values of the hash map to a list and sorting it.
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Initialize a variable, say
max_groups, to store the maximum number of groups. Set it to the maximum frequency. -
Iterate over the sorted frequencies. For each frequency, if it is equal to
max_groups, decrementmax_groupsby 1. This is because we can form a group with this frequency and still satisfy the conditions. -
The minimum number of groups needed is the original
max_groupsplus the number of frequencies that are greater than the finalmax_groups.
This solution works because it ensures that the groups with the highest frequencies are formed first, which minimizes the number of groups. The time complexity is O(n log n) due to sorting, where n is the length of the array. The space complexity is O(n) for storing the frequencies.
Similar Questions
There are n people that are split into some unknown number of groups. Each person is labeled with a unique ID from 0 to n - 1.You are given an integer array groupSizes, where groupSizes[i] is the size of the group that person i is in. For example, if groupSizes[1] = 3, then person 1 must be in a group of size 3.Return a list of groups such that each person i is in a group of size groupSizes[i].Each person should appear in exactly one group, and every person must be in a group. If there are multiple answers, return any of them. It is guaranteed that there will be at least one valid solution for the given input. Example 1:Input: groupSizes = [3,3,3,3,3,1,3]Output: [[5],[0,1,2],[3,4,6]]Explanation: The first group is [5]. The size is 1, and groupSizes[5] = 1.The second group is [0,1,2]. The size is 3, and groupSizes[0] = groupSizes[1] = groupSizes[2] = 3.The third group is [3,4,6]. The size is 3, and groupSizes[3] = groupSizes[4] = groupSizes[6] = 3.Other possible solutions are [[2,1,6],[5],[0,4,3]] and [[5],[0,6,2],[4,3,1]].Example 2:Input: groupSizes = [2,1,3,3,3,2]Output: [[1],[0,5],[2,3,4]]
3020. Find the Maximum Number of Elements in SubsetMy SubmissionsBack to ContestUser Accepted:5163User Tried:8859Total Accepted:5388Total Submissions:34167Difficulty:MediumYou are given an array of positive integers nums.You need to select a subset of nums which satisfies the following condition:You can place the selected elements in a 0-indexed array such that it follows the pattern: [x, x2, x4, ..., xk/2, xk, xk/2, ..., x4, x2, x] (Note that k can be be any non-negative power of 2). For example, [2, 4, 16, 4, 2] and [3, 9, 3] follow the pattern while [2, 4, 8, 4, 2] does not.Return the maximum number of elements in a subset that satisfies these conditions. Example 1:Input: nums = [5,4,1,2,2]Output: 3Explanation: We can select the subset {4,2,2}, which can be placed in the array as [2,4,2] which follows the pattern and 22 == 4. Hence the answer is 3.Example 2:Input: nums = [1,3,2,4]Output: 1Explanation: We can select the subset {1}, which can be placed in the array as [1] which follows the pattern. Hence the answer is 1. Note that we could
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