Cable master
阿新 • • 發佈:2018-06-02
des 但是 number its decide distance equal written OS
To buy network cables, the Judging Committee has contacted a local
network solutions provider with a request to sell for them a specified
number of cables with equal lengths. The Judging Committee wants the
cables to be as long as possible to sit contestants as far from each
other as possible.
The Cable Master of the company was assigned to the task. He knows
the length of each cable in the stock up to a centimeter,and he can cut
them with a centimeter precision being told the length of the pieces he
must cut. However, this time, the length is not known and the Cable
Master is completely puzzled.
You are to help the Cable Master, by writing a program that will
determine the maximal possible length of a cable piece that can be cut
from the cables in the stock, to get the specified number of pieces.
If it is not possible to cut the requested number of pieces each one being at least one centimeter long, then the output file must contain the single number "0.00" (without quotes).
Description
Inhabitants of the Wonderland have decided to hold a regional programming contest. The Judging Committee has volunteered and has promised to organize the most honest contest ever. It was decided to connect computers for the contestants using a "star" topology - i.e. connect them all to a single central hub. To organize a truly honest contest, the Head of the Judging Committee has decreed to place all contestants evenly around the hub on an equal distance from it.Input
The first line of the input file contains two integer numb ers N and K, separated by a space. N (1 = N = 10000) is the number of cables in the stock, and K (1 = K = 10000) is the number of requested pieces. The first line is followed by N lines with one number per line, that specify the length of each cable in the stock in meters. All cables are at least 1 meter and at most 100 kilometers in length. All lengths in the input file are written with a centimeter precision, with exactly two digits after a decimal point.Output
Write to the output file the maximal length (in meters) of the pieces that Cable Master may cut from the cables in the stock to get the requested number of pieces. The number must be written with a centimeter precision, with exactly two digits after a decimal point.If it is not possible to cut the requested number of pieces each one being at least one centimeter long, then the output file must contain the single number "0.00" (without quotes).
Sample Input
4 11 8.02 7.43 4.57 5.39
Sample Output
2.00
Source
Northeastern Europe 2001 本來以為就是一道簡單的二分,精度真是個大問題,要求的結果是個浮點數,二分的結束判斷應該是根據差不超過一個限制,但是總是錯誤。書上讓二分過程循環100次,直到解的範圍最夠小,最後輸出保留兩位,要把兩位之後的完全切除掉,不能存在四舍五入。 代碼:#include <iostream> #include <cstdio> #include <cmath> using namespace std; int n,k; double l,r; double s[10001]; int sum(double t) { int c = 0; for(int i = 0;i < n;i ++) c += (int)(s[i] / t); return c; } int main() { scanf("%d%d",&n,&k); for(int i = 0;i < n;i ++) { scanf("%lf",&s[i]); r = max(r,s[i]); } int i = 0; while(i ++ <= 100) { double mid = (l + r) / 2; int su = sum(mid); if(su < k)r = mid; else l = mid; } printf("%.2f",(int)(l * 100) / 100.0); }
還有一種方法是轉換成整數。
Cable master