Given two integers X and Y where X denotes the number of points required to qualify and Y denotes the number of matches left. The team receives 2 points on winning the match and 1 point on losing. The task is to find the minimum number of matches the team needs to win in order to qualify for next round.
Input: X = 10, Y = 5
The team needs to win all the matches in order to get 10 points.
Input : X = 6, Y = 5
Output : 1
If the team wins a single match and loses the rest 4 matches, they would still qualify.
A naive approach is to check by iterating over all values from 0 to Y and find out the first value which gives us X points.
An efficient approach is to perform a binary search on the number of matches to be won to find out the minimum number of the match. Initially low = 0 and high = X, and then we check for the condition (mid * 2 + (y – mid)) ≥ x. If the condition prevails, then check if any lower value exists in the left half i.e. high = mid – 1 else check in the right half i.e. low = mid + 1.
Below is the implementation of the above approach:
Time Complexity: O(log y)
- Ways of selecting men and women from a group to make a team
- Given number of matches played, find number of teams in tournament
- Longest string in an array which matches with prefix of the given string
- Minimum adjacent swaps to move maximum and minimum to corners
- Find minimum x such that (x % k) * (x / k) == n | Set-2
- Find minimum x such that (x % k) * (x / k) == n
- Minimum possible value of (i * j) % 2019
- Minimum value of N such that xor from 1 to N is equal to K
- Minimum value possible of a given function from the given set
- Find the value of N when F(N) = f(a)+f(b) where a+b is the minimum possible and a*b = N
- Minimum LCM and GCD possible among all possible sub-arrays
- Minimum possible number with the given operation
- Minimum value to be added to X such that it is at least Y percent of N
- Longest sub-sequence with minimum LCM
- Minimum number with digits as 4 and 7 only and given sum
If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to firstname.lastname@example.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.