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1090. Largest Values From Labels

We have a set of items: the i-th item has value values[i] and label labels[i].

Then, we choose a subset S of these items, such that:

  • |S| <= num_wanted
  • For every label L, the number of items in S with label L is <= use_limit.

Return the largest possible sum of the subset S.

Example 1:

Input: values = [5,4,3,2,1], labels = [1,1,2,2,3], num_wanted = 3, use_limit = 1
Output: 9
Explanation: The subset chosen is the first, third, and fifth item.

Example 2:

Input: values = [5,4,3,2,1], labels = [1,3,3,3,2], num_wanted = 3, use_limit = 2
Output: 12
Explanation: The subset chosen is the first, second, and third item.

Example 3:

Input: values = [9,8,8,7,6], labels = [0,0,0,1,1], num_wanted = 3, use_limit = 1
Output: 16
Explanation: The subset chosen is the first and fourth item.

Example 4:

Input: values = [9,8,8,7,6], labels = [0,0,0,1,1], num_wanted = 3, use_limit = 2
Output: 24
Explanation: The subset chosen is the first, second, and fourth item.

Note:

  1. 1 <= values.length == labels.length <= 20000
  2. 0 <= values[i], labels[i] <= 20000
  3. 1 <= num_wanted, use_limit <= values.length

Solutions (Ruby)

1. Greedy

# @param {Integer[]} values
# @param {Integer[]} labels
# @param {Integer} num_wanted
# @param {Integer} use_limit
# @return {Integer}
def largest_vals_from_labels(values, labels, num_wanted, use_limit)
    items = Array.new(values.length) {|i| [values[i], labels[i]] }
    items.sort! {|a, b| b <=> a }
    label_use = Hash.new(0)
    cnt = 0
    ret = 0

    for item in items
        if label_use[item[1]] < use_limit
            ret += item[0]
            cnt += 1
            label_use[item[1]] += 1
            break if cnt >= num_wanted
        end
    end

    return ret
end