1 /*Hangover 2 时间限制:1000 ms | 内存限制:65535 KB 3 难度:1 4 描述 5 6 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 7 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 8 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, 9 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 10 by 1/(n + 1). This is illustrated in the figure below. 11 12 输入 13 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 14 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. 15 输出 16 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. 17 样例输入 18 1.00 19 3.71 20 0.04 21 5.19 22 0.00样例输出 23 3 card(s) 24 61 card(s) 25 1 card(s) 26 273 card(s)来源 27 POJ 28 上传者 29 iphxer 30 */ 31 #include<stdio.h> 32 int main() 33 { 34 double n; 35 while( scanf("%lf", &n ) != EOF ) 36 { 37 if( n == 0.00 ) break; 38 double length=0, i; 39 for(i = 2.0; length < n ; i++) 40 length += 1.0/i; 41 printf("%d card(s)\n", (int)i-2 ); 42 } 43 return 0; 44 }