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  • Hangover

    POJ - 1003
             

     

    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

    The input consists of one or more test cases, followed by a line containing the number 0.00 that signals the end of the input. Each test case is a single line containing a positive floating-point number c whose value is at least 0.01 and at most 5.20; c will contain exactly three digits.

    Output

    For each test case, output the minimum number of cards necessary to achieve an overhang of at least c card lengths. Use the exact output format shown in the examples.

    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)
    方法-:
    
    #include<stdio.h>
    int main(){
        float x;
        while(scanf("%f",&x)==1){
            int i;
            float t=0.0;
            if(x==0.00) break;
            for(i=1;t<x;i++)  t+=1.0/(float)(i+1);                                     
            printf("%d card(s)
    ",i-1);
        }
    }
    
    
    
    方法二:
    
    
    #include<stdio.h>
    int main(){
        int n;
        float b;
        for(;n=scanf("%f",&b),b;printf("%d card(s)
    ",n-1))
            for(;b>0;b-=1./++n);
    }
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  • 原文地址:https://www.cnblogs.com/HRuinger/p/3721410.html
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