// Source : https://leetcode.com/problems/single-threaded-cpu/
// Author : Hao Chen
// Date   : 2021-04-20

/***************************************************************************************************** 
 *
 * You are given n​​​​​​ tasks labeled from 0 to n - 1 represented by a 2D integer array tasks, where 
 * tasks[i] = [enqueueTimei, processingTimei] means that the i^​​​​​​th​​​​ task will be available to 
 * process at enqueueTimei and will take processingTimei to finish processing.
 * 
 * You have a single-threaded CPU that can process at most one task at a time and will act in the 
 * following way:
 * 
 * 	If the CPU is idle and there are no available tasks to process, the CPU remains idle.
 * 	If the CPU is idle and there are available tasks, the CPU will choose the one with the 
 * shortest processing time. If multiple tasks have the same shortest processing time, it will choose 
 * the task with the smallest index.
 * 	Once a task is started, the CPU will process the entire task without stopping.
 * 	The CPU can finish a task then start a new one instantly.
 * 
 * Return the order in which the CPU will process the tasks.
 * 
 * Example 1:
 * 
 * Input: tasks = [[1,2],[2,4],[3,2],[4,1]]
 * Output: [0,2,3,1]
 * Explanation: The events go as follows: 
 * - At time = 1, task 0 is available to process. Available tasks = {0}.
 * - Also at time = 1, the idle CPU starts processing task 0. Available tasks = {}.
 * - At time = 2, task 1 is available to process. Available tasks = {1}.
 * - At time = 3, task 2 is available to process. Available tasks = {1, 2}.
 * - Also at time = 3, the CPU finishes task 0 and starts processing task 2 as it is the shortest. 
 * Available tasks = {1}.
 * - At time = 4, task 3 is available to process. Available tasks = {1, 3}.
 * - At time = 5, the CPU finishes task 2 and starts processing task 3 as it is the shortest. 
 * Available tasks = {1}.
 * - At time = 6, the CPU finishes task 3 and starts processing task 1. Available tasks = {}.
 * - At time = 10, the CPU finishes task 1 and becomes idle.
 * 
 * Example 2:
 * 
 * Input: tasks = [[7,10],[7,12],[7,5],[7,4],[7,2]]
 * Output: [4,3,2,0,1]
 * Explanation: The events go as follows:
 * - At time = 7, all the tasks become available. Available tasks = {0,1,2,3,4}.
 * - Also at time = 7, the idle CPU starts processing task 4. Available tasks = {0,1,2,3}.
 * - At time = 9, the CPU finishes task 4 and starts processing task 3. Available tasks = {0,1,2}.
 * - At time = 13, the CPU finishes task 3 and starts processing task 2. Available tasks = {0,1}.
 * - At time = 18, the CPU finishes task 2 and starts processing task 0. Available tasks = {1}.
 * - At time = 28, the CPU finishes task 0 and starts processing task 1. Available tasks = {}.
 * - At time = 40, the CPU finishes task 1 and becomes idle.
 * 
 * Constraints:
 * 
 * 	tasks.length == n
 * 	1 <= n <= 10^5
 * 	1 <= enqueueTimei, processingTimei <= 10^9
 ******************************************************************************************************/

class Solution {
private:
    template<typename T>
    void print(T q) { 
        while(!q.empty()) {
            auto t = q.top();
            cout << t[2]<< "[" << t[0] <<","<< t[1] << "] ";
            q.pop();
        }
        std::cout << '\n';
    }
public:
    vector<int> getOrder(vector<vector<int>>& tasks) {
        // push the index into each task.
        // [enQueueTime, ProcessingTime, index]
        for(int i=0; i<tasks.size(); i++){
            tasks[i].push_back(i); 
        }
        
        //Sort the tasks by enQueueTtime
        sort(tasks.begin(), tasks.end(), [&](vector<int>& lhs, vector<int>& rhs) {
            return lhs[0] < rhs[0];
        });
        
        //Sort function for tasks priority queue.
        auto comp = [&](vector<int>& lhs, vector<int>& rhs){
            // if the processing time is same ,get the smaller index
            if (lhs[1] == rhs[1]) return lhs[2] > rhs[2]; 
            // choosing the shorter processing time.
            return lhs[1] > rhs[1];
        };

        priority_queue<vector<int>, std::vector<vector<int>>, decltype(comp)> q (comp);
        vector<int> result;
        
        int i = 0;
        while (i < tasks.size()) {
            long time = tasks[i][0];
            int start = i;
            for (;i < tasks.size() && tasks[start][0] == tasks[i][0];i++ ) {
                q.push(tasks[i]);
            }
            //print(q);
           
            while(!q.empty()){
                //processing the task
                auto t = q.top(); q.pop();
                //cout << "DEQUEUE: " <<  t[2] << ":[" << t[0] <<","<< t[1] << "]"<< endl;
                result.push_back(t[2]);
                
                //enQueue the tasks when CPU proceing the current task
                time += t[1];
                for(;i < tasks.size() && tasks[i][0] <= time; i++) {
                    //cout << "ENQUEUE: " <<  tasks[i][2] << ":[" << tasks[i][0] <<","<< tasks[i][1] << "]"<< endl;
                    q.push(tasks[i]);
                }
                //print(q);
                //cout << endl;
            }
        }
        return result;
    }
};