Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 42388 | Accepted: 19686 |
Description
How far can you make a stack of cards overhang a table? If you have one card, you can create a maximum overhang of half a card length. (We're assuming that the cards must be perpendicular to the table.) With two cards you can make the top card overhang the bottom one by half a card length, and the bottom one overhang the table by a third of a card length, for a total maximum overhang of 1/2 + 1/3 = 5/6 card lengths. In general you can make n cards overhang by 1/2 + 1/3 + 1/4 + ... + 1/( n + 1) card lengths, where the top card overhangs the second by 1/2, the second overhangs tha third by 1/3, the third overhangs the fourth by 1/4, etc., and the bottom card overhangs the table by 1/( n + 1). This is illustrated in the figure below.

Input
Output
Sample Input
1.00 3.71 0.04 5.19 0.00
Sample Output
3 card(s) 61 card(s) 1 card(s) 273 card(s)
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解題思路:最小的張數(shù)就是大于總長度的第一個數(shù)字,注意使用浮點數(shù)。
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import java.util.*; public class Main { public static void main(String[] args) { Scanner cin = new Scanner(System.in); String str; int maxCardNum = 0; while(cin.hasNext()) { str = cin.nextLine(); if(str.equals("0.00")) break; float len = Float.valueOf(str).floatValue(); maxCardNum = getCardNum(len); System.out.println(maxCardNum + " card(s)"); } } private static int getCardNum(float len) { float value = 0; int index = 2; while (value < len) { value += 1.0/index; index++; } return index-2; } }?
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