1. Question 1

When multiple tasks are executed on a single-threaded CPU, the tasks are scheduled based on the principle of preemption. When a higher priority task arrives in the execution queue, then the lower-priority task is preempted, i.e., its execution is paused until the higher-priority task is complete.

There are n functions to be executed on a single-threaded CPU, with each function having a unique ID in the range of 0 to n-1. Given an integer n representing the number of functions and an array logs, representing execution logs as an array of strings, each of the m entries in the logs array is of the form <function_id>:<start|end>:<timestamp>. Each entry in the logs contains the exclusive times of each of the functions for all its execution. An entry <function_id>:<start> in the logs, representing an execution step, is of the form <function_id>:<start>:<timestamp>, indicating that the function with ID <function_id> starts or ends at a time identified by the timestamp value.

Note: While calculating the execution time of the function, if a function is preempted, the time of the function will have to be simulated. The log of the function contains start and end times of the function, denoted as <function_id>:<start>:<timestamp> and <function_id>:<end>:<timestamp> respectively. <function_id>:<end>:<timestamp> means that the function with ID <function_id> ends after completing the timestamp.

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Example

Suppose n = 3, logs = ["0:start:0", "2:start:4", "2:end:5", "1:start:7", "1:end:10", "0:end:11"]

Timestamp	Function Running	Remarks
0	0	Function 0 starts
1	0
2	0
3	0
4	2	Function 2 starts and Function 0 is preempted
5	2	Function 2 ends
6	0	Function 0 resumes
7	1	Function 1 starts and Function 0 is preempted
8	1
9	1
10	1	Function 1 ends
11	0	Function 0 ends

Thus the total number of seconds allocated to functions 0, 1, and 2 are 6, 4, and 2 respectively. Hence the answer is [6, 4, 2].

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Function Description

Complete the function getTotalExecutionTime in the editor below.

getTotalExecutionTime has the following parameters:

• int n: the number of functions to be executed.
• string logs[m]: the execution logs of the different calls to the functions.

Returns

• int[n]: the execution time of all functions with IDs from 0 to n-1.

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Constraints

• 1 ≤ n ≤ 100
• 1 ≤ m ≤ 500
• 0 ≤ function_id < n
• 0 ≤ timestamp ≤ 3 * 10^3
• The timestamps are given in non-decreasing order.
• No two starting timestamps and no two ending timestamps are equal.
• Every function:start call has a corresponding function:end call.

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