C++ Programming Using Big O notation, indicate the time requirement of each of the following tasks in the worst case. Given the associated assumptions. After arriving at a party, you shake hands with each person there. Assume: where n is the number of people at the party under the assumptions that there is a fixed maximum time between hand shakes, and there is a fixed maximum time for a handshake. Each person in a room shakes hands with everyone else in the room. Assume: where n is the number of people at the party under the assumptions that there is a fixed maximum time between hand shakes, and there is a fixed maximum time for a handshake. You climb a flight of stairs. Assume: where n is the number of steps under the assumptions that you never take a backward step, and there is a fixed maximum time between steps. You slide down the banister. Assume: where n is the height of the banister under the assumptions that you never slow down and you reach a limiting speed. After entering an elevator, you press a button to choose a floor. Assume: you reach a decision and press the button within a fixed amount of time. You ride the elevator from the ground floor up to the nth floor. Assume: where n is the number of the floor under the assumptions that the elevator only stops at floors, there is a fixed maximum time for each stop, and there is a fixed maximum time that an elevator requires to travel between two adjacent floors.  You read a book twice. Assume: where n is the number of pages in the book and under the assumptions that you never read a word more than twice, you read at least one word in a session, there is a fixed maximum time between sessions, and there is a fixed maximum number of words on a page.   - After arriving at a party, you shake hands with each person there.                                                                                          - Each person in a room shakes hands with everyone else in the room.                                                                                          - You climb a flight of stairs.                                                                                          - You slide down the banister.                                                                                          - After entering an elevator, you press a button to choose a floor.                                                                                          - You ride the elevator from the ground floor up to the nth floor.                                                                                          - You read a book twice.

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C++ Programming

Using Big O notation, indicate the time requirement of each of the following tasks in the worst case. Given the associated assumptions.

  • After arriving at a party, you shake hands with each person there.
    • Assume: where n is the number of people at the party under the assumptions that there is a fixed maximum time between hand shakes, and there is a fixed maximum time for a handshake.
  • Each person in a room shakes hands with everyone else in the room.
    • Assume: where n is the number of people at the party under the assumptions that there is a fixed maximum time between hand shakes, and there is a fixed maximum time for a handshake.
  • You climb a flight of stairs.
    • Assume: where n is the number of steps under the assumptions that you never take a backward step, and there is a fixed maximum time between steps.
  • You slide down the banister.
    • Assume: where n is the height of the banister under the assumptions that you never slow down and you reach a limiting speed.
  • After entering an elevator, you press a button to choose a floor.
    • Assume: you reach a decision and press the button within a fixed amount of time.
  • You ride the elevator from the ground floor up to the nth floor.
    • Assume: where n is the number of the floor under the assumptions that the elevator only stops at floors, there is a fixed maximum time for each stop, and there is a fixed maximum time that an elevator requires to travel between two adjacent floors. 
  • You read a book twice.
    • Assume: where n is the number of pages in the book and under the assumptions that you never read a word more than twice, you read at least one word in a session, there is a fixed maximum time between sessions, and there is a fixed maximum number of words on a page.
 
- After arriving at a party, you shake hands with each person there.
 
                                                                                    
 
- Each person in a room shakes hands with everyone else in the room.
 
                                                                                    
 
- You climb a flight of stairs.
 
                                                                                    
 
- You slide down the banister.
 
                                                                                    
 
- After entering an elevator, you press a button to choose a floor.
 
                                                                                    
 
- You ride the elevator from the ground floor up to the nth floor.
 
                                                                                    
 
- You read a book twice.
 
                                                                                    
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