Problem StatementIn a gaming tournament, players are ranked in ascending order based on their scores. Your task is to design a program using binary search to determine the score of the player positioned at the kth place, enabling the organizers to swiftly identify individual performance levels. The program takes the total number of players, their sorted scores, and the rank (k) as input, and outputs the score of the player ranked at the kth position(position value starts from 1).Input format :The first line of input consists of an integer N, representing the total number of players in the tournament.The second line consists of N distinct space-separated integers, representing the sorted list of players' scores.The third line consists of an integer k, representing the rank of the player whose score needs to be determined.Output format :The output prints a single integer, representing the score of the player ranked at position k in the tournament.Code constraints :1 ≤ N ≤ 101 ≤ score ≤ 1001 ≤ k ≤ NSample test cases :Input 1 :712 15 34 47 49 57 583Output 1 :34Input 2 :624 25 37 48 98 995Output 2 :98
Question
Problem StatementIn a gaming tournament, players are ranked in ascending order based on their scores. Your task is to design a program using binary search to determine the score of the player positioned at the kth place, enabling the organizers to swiftly identify individual performance levels. The program takes the total number of players, their sorted scores, and the rank (k) as input, and outputs the score of the player ranked at the kth position(position value starts from 1).Input format :The first line of input consists of an integer N, representing the total number of players in the tournament.The second line consists of N distinct space-separated integers, representing the sorted list of players' scores.The third line consists of an integer k, representing the rank of the player whose score needs to be determined.Output format :The output prints a single integer, representing the score of the player ranked at position k in the tournament.Code constraints :1 ≤ N ≤ 101 ≤ score ≤ 1001 ≤ k ≤ NSample test cases :Input 1 :712 15 34 47 49 57 583Output 1 :34Input 2 :624 25 37 48 98 995Output 2 :98
Solution
To solve this problem, we can use the binary search algorithm. Here are the steps:
Step 1: Read the total number of players (N) from the input.
Step 2: Read the sorted list of players' scores.
Step 3: Read the rank (k) of the player whose score needs to be determined.
Step 4: Since the scores are already sorted in ascending order, we can directly access the score of the player at the kth position. In most programming languages, array indexing starts from 0, so we need to subtract 1 from k to get the correct index.
Step 5: Print the score of the player at the kth position.
Here is a Python code snippet that implements these steps:
# Read the total number of players
N = int(input())
# Read the sorted list of players' scores
scores = list(map(int, input().split()))
# Read the rank of the player
k = int(input())
# Print the score of the player at the kth position
print(scores[k-1])
This code works because the scores are already sorted, so the score at the kth position in the sorted list is the score of the player ranked kth in the tournament. The time complexity of this code is O(1) because we are directly accessing the element at the kth position.
Similar Questions
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