码迷,mamicode.com
首页 > 其他好文 > 详细

SGU 456 Annuity Payment Scheme

时间:2015-07-30 21:18:45      阅读:114      评论:0      收藏:0      [点我收藏+]

标签:

D - Annuity Payment Scheme
Time Limit:500MS     Memory Limit:65536KB     64bit IO Format:%I64d & %I64u

Description



At the peak of the Global Economic Crisis BerBank offered an unprecedented credit program. The offering was so attractive that Vitaly decided to try it. He took a loan of s burles for m months with the interest rate of p percent. 

Vitaly has to follow the scheme of annuity payments, meaning that he should make fixed monthly payments — x burles per month. Obviously, at the end of the period he will pay m · x burles to the bank in total. 

Each of the monthly payments is divided by BerBank into two parts as follows:
  • The first part ai is used to pay off the percent p of the current debt. It‘s clear that ai=s‘ · p / 100 where s‘=s for the first month and equals to the remaining debt for each of the subsequent months.
  • The second part bi is used to pay off the current debt. The sum of all bi over the payment period is equal to s, meaning that the borrower needs to pay off the debt completely by decreasing it from s to 0 in m months.
BerBank uses calculations with floating-point numbers, and the value of x is uniquely determined by sm and p

For example, if s=100, m=2, p=50 then x=90. For the first month a1 = s‘ · p / 100 = s · p / 100 = 50 and b1 = 90 - 50 = 40. For the second month a2 = (100-40) · 50 / 100 = 30, so b2 = 90 - 30 = 60 and the debt is paid off completely. 

Your task is to help Vitaly and write a program that computes x given the values of sm and p.

Input

The single line of the input contains three integers sm and p (1 ≤ s ≤ 10 6, 1 ≤ m ≤ 120, 0 ≤ p ≤ 100).

Output

Output the single value of monthly payment x in burles. An absolute error of up to 10 -5 is allowed.

Sample Input

sample input
sample output
100 2 50
90.00000

 

 

水题,推个公式出来,注意精度...一遍A

 1 /*************************************************************************
 2     > File Name: code/2015summer/#5/D.cpp
 3     > Author: 111qqz
 4     > Email: rkz2013@126.com 
 5     > Created Time: 2015年07月30日 星期四 13时17分26秒
 6  ************************************************************************/
 7 
 8 #include<iostream>
 9 #include<iomanip>
10 #include<cstdio>
11 #include<algorithm>
12 #include<cmath>
13 #include<cstring>
14 #include<string>
15 #include<map>
16 #include<set>
17 #include<queue>
18 #include<vector>
19 #include<stack>
20 #define y0 abc111qqz
21 #define y1 hust111qqz
22 #define yn hez111qqz
23 #define j1 cute111qqz
24 #define tm crazy111qqz
25 #define lr dying111qqz
26 using namespace std;
27 #define REP(i, n) for (int i=0;i<int(n);++i)  
28 typedef long long LL;
29 typedef unsigned long long ULL;
30 const int inf = 0x7fffffff;
31 int s,m,p;
32 double ans;
33 
34 double cal(double x,int n)
35 {
36     double res = 1.0;
37     for ( int i = 1 ; i <= n ; i++ )
38     {
39     res = res * x;
40     }
41   //  cout<<"res:"<<res<<endl;
42     return res;
43 }
44 int main()
45 {
46     cin>>s>>m>>p;
47     double sum = 0;
48     double per = p*1.0/100+1;
49     for ( int i = 1 ; i <= m;  i++ )
50     {
51     sum=sum+1.0/cal(per,i);
52 //    cout<<"sum:"<<sum<<endl;
53     }
54  //   cout<<sum<<endl;
55     cout<<fixed<<setprecision(5)<<s*1.0/sum<<endl;
56   
57     return 0;
58 }

 

SGU 456 Annuity Payment Scheme

标签:

原文地址:http://www.cnblogs.com/111qqz/p/4690432.html

(0)
(0)
   
举报
评论 一句话评论(0
登录后才能评论!
© 2014 mamicode.com 版权所有  联系我们:gaon5@hotmail.com
迷上了代码!