Zero Array Transformation III
<p>You are given an integer array <code>nums</code> of length <code>n</code> and a 2D array <code>queries</code> where <code>queries[i] = [l<sub>i</sub>, r<sub>i</sub>]</code>.</p>

<p>Each <code>queries[i]</code> represents the following action on <code>nums</code>:</p>

<ul>
	<li>Decrement the value at each index in the range <code>[l<sub>i</sub>, r<sub>i</sub>]</code> in <code>nums</code> by <strong>at most</strong><strong> </strong>1.</li>
	<li>The amount by which the value is decremented can be chosen <strong>independently</strong> for each index.</li>
</ul>

<p>A <strong>Zero Array</strong> is an array with all its elements equal to 0.</p>

<p>Return the <strong>maximum </strong>number of elements that can be removed from <code>queries</code>, such that <code>nums</code> can still be converted to a <strong>zero array</strong> using the <em>remaining</em> queries. If it is not possible to convert <code>nums</code> to a <strong>zero array</strong>, return -1.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">nums = [2,0,2], queries = [[0,2],[0,2],[1,1]]</span></p>

<p><strong>Output:</strong> <span class="example-io">1</span></p>

<p><strong>Explanation:</strong></p>

<p>After removing <code>queries[2]</code>, <code>nums</code> can still be converted to a zero array.</p>

<ul>
	<li>Using <code>queries[0]</code>, decrement <code>nums[0]</code> and <code>nums[2]</code> by 1 and <code>nums[1]</code> by 0.</li>
	<li>Using <code>queries[1]</code>, decrement <code>nums[0]</code> and <code>nums[2]</code> by 1 and <code>nums[1]</code> by 0.</li>
</ul>
</div>

<p><strong class="example">Example 2:</strong></p>

<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">nums = [1,1,1,1], queries = [[1,3],[0,2],[1,3],[1,2]]</span></p>

<p><strong>Output:</strong> <span class="example-io">2</span></p>

<p><strong>Explanation:</strong></p>

<p>We can remove <code>queries[2]</code> and <code>queries[3]</code>.</p>
</div>

<p><strong class="example">Example 3:</strong></p>

<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">nums = [1,2,3,4], queries = [[0,3]]</span></p>

<p><strong>Output:</strong> <span class="example-io">-1</span></p>

<p><strong>Explanation:</strong></p>

<p><code>nums</code> cannot be converted to a zero array even after using all the queries.</p>
</div>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>
	<li><code>0 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>
	<li><code>1 &lt;= queries.length &lt;= 10<sup>5</sup></code></li>
	<li><code>queries[i].length == 2</code></li>
	<li><code>0 &lt;= l<sub>i</sub> &lt;= r<sub>i</sub> &lt; nums.length</code></li>
</ul>
Greedy; Array; Prefix Sum; Sorting; Heap (Priority Queue)
function maxRemoval(nums: number[], queries: number[][]): number {
    queries.sort((a, b) => a[0] - b[0]);
    const pq = new MaxPriorityQueue<number>();
    const n = nums.length;
    const d: number[] = Array(n + 1).fill(0);
    let [s, j] = [0, 0];
    for (let i = 0; i < n; i++) {
        s += d[i];
        while (j < queries.length && queries[j][0] <= i) {
            pq.enqueue(queries[j][1]);
            j++;
        }
        while (s < nums[i] && !pq.isEmpty() && pq.front() >= i) {
            s++;
            d[pq.dequeue() + 1]--;
        }
        if (s < nums[i]) {
            return -1;
        }
    }
    return pq.size();
}
