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package g1001_1100.s1090_largest_values_from_labels;

// #Medium #Array #Hash_Table #Sorting #Greedy #Counting
// #2022_02_23_Time_14_ms_(95.96%)_Space_43.2_MB_(80.43%)

import java.util.HashMap;
import java.util.PriorityQueue;

/**
 * 1090 - Largest Values From Labels\.
 *
 * Medium
 *
 * There is a set of `n` items. You are given two integer arrays `values` and `labels` where the value and the label of the ith element are `values[i]` and `labels[i]` respectively. You are also given two integers `numWanted` and `useLimit`.
 *
 * Choose a subset `s` of the `n` elements such that:
 *
 * *   The size of the subset `s` is **less than or equal to** `numWanted`.
 * *   There are **at most** `useLimit` items with the same label in `s`.
 *
 * The **score** of a subset is the sum of the values in the subset.
 *
 * Return _the maximum **score** of a subset_ `s`.
 *
 * **Example 1:**
 *
 * **Input:** values = [5,4,3,2,1], labels = [1,1,2,2,3], numWanted = 3, useLimit = 1
 *
 * **Output:** 9
 *
 * **Explanation:** The subset chosen is the first, third, and fifth items.
 *
 * **Example 2:**
 *
 * **Input:** values = [5,4,3,2,1], labels = [1,3,3,3,2], numWanted = 3, useLimit = 2
 *
 * **Output:** 12
 *
 * **Explanation:** The subset chosen is the first, second, and third items.
 *
 * **Example 3:**
 *
 * **Input:** values = [9,8,8,7,6], labels = [0,0,0,1,1], numWanted = 3, useLimit = 1
 *
 * **Output:** 16
 *
 * **Explanation:** The subset chosen is the first and fourth items.
 *
 * **Constraints:**
 *
 * *   `n == values.length == labels.length`
 * *   1 <= n <= 2 * 104
 * *   0 <= values[i], labels[i] <= 2 * 104
 * *   `1 <= numWanted, useLimit <= n`
**/
public class Solution {
    private static class Node {
        int val;
        int label;

        Node(int val, int label) {
            this.val = val;
            this.label = label;
        }
    }

    public int largestValsFromLabels(int[] values, int[] labels, int numWanted, int useLimit) {
        PriorityQueue maxHeap =
                new PriorityQueue<>((a, b) -> b.val != a.val ? b.val - a.val : a.label - b.label);
        int n = values.length;
        for (int i = 0; i < n; i++) {
            maxHeap.offer(new Node(values[i], labels[i]));
        }
        int ans = 0;
        HashMap labelAddedCount = new HashMap<>();
        while (!maxHeap.isEmpty() && numWanted > 0) {
            Node cur = maxHeap.poll();
            if (labelAddedCount.containsKey(cur.label)
                    && labelAddedCount.get(cur.label) >= useLimit) {
                continue;
            }
            if (cur.val > 0) {
                ans += cur.val;
                labelAddedCount.put(cur.label, labelAddedCount.getOrDefault(cur.label, 0) + 1);
                numWanted--;
            }
        }
        return ans;
    }
}




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