Given a circular ring which has marking from 1 to N. Given two numbers A and B, you can stand at any place(say X) and count the total sum of the distance(say Z i.e., distance from X to A + distance from X to B). The task is to choose X in such a way that Z is minimized. Print the value of Z thus obtained. Note that X cannot neither be equal to A nor be equal to B.
Input: N = 6, A = 2, B = 4
Choose X as 3, so that distance from X to A is 1, and distance from X to B is 1.
Input: N = 4, A = 1, B = 2
Choose X as 3 or 4, both of them gives distance as 3.
Approach: There are two paths between the positions A and B on the circle, one in clockwise direction and another in anti-clockwise. An optimal value for Z is to choose X as any point on the minimum path between A and B then Z will be equal to the minimum distance between the positions except for the case when both the positions are adjacent to each other i.e. the minimum distance is 1. In that case, X cannot be chosen as the point between them as it must be different from both A and B and the result will be 3.
Below is the implementation of the above approach:
- Minimum distance from a point to the line segment using Vectors
- Find the integer points (x, y) with Manhattan distance atleast N
- Find integral points with minimum distance from given set of integers using BFS
- Binary Array Range Queries to find the minimum distance between two Zeros
- Find the subarray of size K with minimum XOR
- Find the minimum positive integer such that it is divisible by A and sum of its digits is equal to B
- Distance between a point and a Plane in 3 D
- Shortest distance between a point and a circle
- Perpendicular distance between a point and a Line in 2 D
- Shortest distance between a Line and a Point in a 3-D plane
- Minimum decrements to make integer A divisible by integer B
- Sort an Array of Points by their distance from a reference Point
- Ratio of the distance between the centers of the circles and the point of intersection of two transverse common tangents to the circles
- Ratio of the distance between the centers of the circles and the point of intersection of two direct common tangents to the circles
- Find the number of rectangles of size 2*1 which can be placed inside a rectangle of size n*m
If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to email@example.com. 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.