Canadian Computing Competition: 2018 Stage 1, Senior #1
In the country of Voronoi, there are villages, located at distinct points on a straight road. Each of these villages will be represented by an integer position along this road.
Each village defines its neighbourhood as all points along the road which are closer to it than to any other village. A point which is equally close to two distinct villages and is in the neighbourhood of and also in the neighbourhood of .
Each neighbourhood has a size which is the difference between the minimum (leftmost) point in its neighbourhood and the maximum (rightmost) point in its neighbourhood.
The neighbourhoods of the leftmost and rightmost villages are defined to be of infinite size, while all other neighbourhoods are finite in size.
Determine the smallest size of any of the neighbourhoods (with exactly 1 digit after the decimal point).
Input Specification
The first line will contain the number , the number of villages. On the next lines there will be one integer per line, where the line will contain the integer , the position of the village . All villages are at distinct positions.
Output Specification
Output the smallest neighbourhood size with exactly one digit after the decimal point.
Sample Input
5
16
0
10
4
15
Sample Output
3.0
Explanation for Sample Output
The neighbourhoods around and are infinite. The neighbourhood around is units ( to the left, and to the right). The neighbourhood around is units ( to the left and to the right). The neighbourhood around is units ( to the left and to the right).
Comments
Hi!, I was using python to answer the question, and when I tried running the program locally, it works fine. However, my program only passed 1 test case, does anyone mind taking a look?: https://dmoj.ca/submission/6139460
Very much appreciated!
Didn't try out your entire code. But I suspect the error is in "for k in range (n-1) :", as you need to remove the smallest and the largest village in the sorted list. So less 2 calculations and not 1.
i dont understand how your supposed to get the output from the given numbers. The explanation for the ouput doesn't make any sense to me can someone please explain
thank you very much this clarifies things much more now!
For those who are constantly getting 6/15, make sure that your output isn't in scientific notation, took me a bit to figure that out on the CCC.
It says that in the editorial as well, but it probably only occurs in some languages. Thanks anyways for that useful info!