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This approach uses binary search to guess the number. We maintain two pointers, low and high, representing the current range of numbers we need to search. Then, we guess the middle number of the range and adjust our range based on the response from the guess API. If the guessed number is correct, we return it. Otherwise, we adjust the low or high pointers and repeat the process until the number is guessed correctly.
Time Complexity: O(log n)
Space Complexity: O(1)
1def guessNumber(n):
2 low, high = 1, n
3 while low <= high:
4 mid = (low + high) // 2
5 res = guess(mid)
6 if res == 0:
7 return mid
8 elif res < 0:
9 high = mid - 1
10 else:
11 low = mid + 1
12 return -1 # should not reach hereThis Python function uses binary search to find the target number. It calls the guess API to check if the guessed number is correct or needs adjustment.
This approach is a straightforward linear search that iterates from 1 to n guessing each number one by one until it finds the correct pick. It's simple but not efficient for larger values of n and is provided here primarily for educational purposes.
Time Complexity: O(n)
Space Complexity: O(1)
1 public int GuessNumber(int n) {
for (int i = 1; i <= n; i++) {
if (guess(i) == 0) {
return i;
}
}
return -1; // should not reach here
}
}Implementing a linear search, this C# version checks each possible number from 1 to n, relying on the guess function to identify the correct answer.