猴子吃桃问题:猴子第一天摘下若干个桃子,当即吃了一半,还不过瘾,又多吃了一个。第二天早上又将第一天剩下的桃子吃掉一半,又多吃了一个。以后每天早上都吃了前一天剩下的一半零一个。到第10天早上想再吃时,发现只剩下一个桃子了。编写程序 求猴子第一天共摘了多少个桃子。
两种方法,递归+For循环:
#include<iostream>
using namespace std;
//递归的方法
int get_peach_one(int day, int day_end, int peach_num)
{
if (day == day_end)
return peach_num;
else {
day++;
peach_num = (peach_num + 1) * 2;
return get_peach_one(day, day_end, peach_num);
}
}
//直接利用for循环
int get_peach_two(int day_begin, int day_end, int peach_num)
{
for (int i = day_begin; i < day_end; i++)
{
peach_num = (peach_num + 1) * 2;
}
return peach_num;
}
int main()
{
int peach_total = 0;
int day_begin = 1, day_end = 10, peach_begin = 1;
//法一
peach_total = get_peach_one(day_begin, day_end, peach_begin);
cout <<"method one: " << peach_total << endl;
//法二
peach_total = get_peach_two(day_begin, day_end, peach_begin);
cout << "method two: " << peach_total << endl;
return 0;
}