Wednesday, April 7, 2021

636. Exclusive Time of Functions

 On a single-threaded CPU, we execute a program containing n functions. Each function has a unique ID between 0 and n-1.

Function calls are stored in a call stack: when a function call starts, its ID is pushed onto the stack, and when a function call ends, its ID is popped off the stack. The function whose ID is at the top of the stack is the current function being executed. Each time a function starts or ends, we write a log with the ID, whether it started or ended, and the timestamp.

You are given a list logs, where logs[i] represents the ith log message formatted as a string "{function_id}:{"start" | "end"}:{timestamp}". For example, "0:start:3" means a function call with function ID 0 started at the beginning of timestamp 3, and "1:end:2" means a function call with function ID 1 ended at the end of timestamp 2. Note that a function can be called multiple times, possibly recursively.

A function's exclusive time is the sum of execution times for all function calls in the program. For example, if a function is called twice, one call executing for 2 time units and another call executing for 1 time unit, the exclusive time is 2 + 1 = 3.

Return the exclusive time of each function in an array, where the value at the ithindex represents the exclusive time for the function with ID i.

 

Example 1:

Input: n = 2, logs = ["0:start:0","1:start:2","1:end:5","0:end:6"]
Output: [3,4]
Explanation:
Function 0 starts at the beginning of time 0, then it executes 2 for units of time and reaches the end of time 1.
Function 1 starts at the beginning of time 2, executes for 4 units of time, and ends at the end of time 5.
Function 0 resumes execution at the beginning of time 6 and executes for 1 unit of time.
So function 0 spends 2 + 1 = 3 units of total time executing, and function 1 spends 4 units of total time executing.

Example 2:

Input: n = 1, logs = ["0:start:0","0:start:2","0:end:5","0:start:6","0:end:6","0:end:7"]
Output: [8]
Explanation:
Function 0 starts at the beginning of time 0, executes for 2 units of time, and recursively calls itself.
Function 0 (recursive call) starts at the beginning of time 2 and executes for 4 units of time.
Function 0 (initial call) resumes execution then immediately calls itself again.
Function 0 (2nd recursive call) starts at the beginning of time 6 and executes for 1 unit of time.
Function 0 (initial call) resumes execution at the beginning of time 7 and executes for 1 unit of time.
So function 0 spends 2 + 4 + 1 + 1 = 8 units of total time executing.

Example 3:

Input: n = 2, logs = ["0:start:0","0:start:2","0:end:5","1:start:6","1:end:6","0:end:7"]
Output: [7,1]
Explanation:
Function 0 starts at the beginning of time 0, executes for 2 units of time, and recursively calls itself.
Function 0 (recursive call) starts at the beginning of time 2 and executes for 4 units of time.
Function 0 (initial call) resumes execution then immediately calls function 1.
Function 1 starts at the beginning of time 6, executes 1 units of time, and ends at the end of time 6.
Function 0 resumes execution at the beginning of time 6 and executes for 2 units of time.
So function 0 spends 2 + 4 + 1 = 7 units of total time executing, and function 1 spends 1 unit of total time executing.

Example 4:

Input: n = 2, logs = ["0:start:0","0:start:2","0:end:5","1:start:7","1:end:7","0:end:8"]
Output: [8,1]

Example 5:

Input: n = 1, logs = ["0:start:0","0:end:0"]
Output: [1]

 

Constraints:

  • 1 <= n <= 100
  • 1 <= logs.length <= 500
  • 0 <= function_id < n
  • 0 <= timestamp <= 109
  • No two start events will happen at the same timestamp.
  • No two end events will happen at the same timestamp.
  • Each function has an "end" log for each "start" log.


class Solution {
public:
    vector<int> exclusiveTime(int n, vector<string>& logs) {
        // base cases handle.
        
        vector<int> ans(n, 0);
        stack<int> st;
        int pretime = 0;
        for (auto log : logs) {
            int first_idx = log.find(":");
            int idx = stoi(log.substr(0, first_idx));
            int second_idx = log.find_last_of(":");
            string op = log.substr(first_idx + 1, second_idx - first_idx - 1);
            int timestamp = stoi(log.substr(second_idx + 1));
            
            if (!st.empty()) {
                ans[st.top()] += timestamp - pretime;
            }
            pretime = timestamp;
            if (op == "start") {
                st.push(idx);
            } else {
                int top = st.top(); st.pop();
                ans[top]++;
                pretime++;
            }
        }
        return ans;
    }
};

============== 2nd time =============

    vector<int> exclusiveTime(int n, vector<string>& logs) {
        vector<int> ans(n, 0);
        stack<int> st;
        int pre = -1;
        
        for (auto log : logs) {
            int task_idx = log.find(':');
            int task = stoi(log.substr(0, task_idx));
            int second_idx = log.find_last_of(':');
            string op = log.substr(task_idx + 1, second_idx - task_idx - 1);
            int time = stoi(log.substr(second_idx + 1));
            
            if (st.empty() || pre == -1) {
                pre = time;
                st.push(task);
            } else {
                if (op == "start") {
                    ans[st.top()] += time - pre;
                    st.push(task);
                    pre = time;
                } else {
                    ans[st.top()] += time - pre + 1;
                    st.pop();
                    pre = time;
                    pre++;
                }
            }
        }
        return ans;
    }

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