How to solve the C language chicken and rabbit in the s…
The problem of placing a chicken and a rabbit in the same cage is a classic math problem that can be solved using loops and exhaustive search.
If there are n chickens and m rabbits in a cage, there will be a total of x legs. According to the given conditions, each chicken has 2 legs and each rabbit has 4 legs, resulting in the equation:
2n + 4m = x
Based on this equation, we can solve the chicken and rabbit in the same cage problem using loops and exhaustive methods.
The specific steps are as follows:
- Input the total number of feet in the cage.
- Iterate through the values of 0 to x/2 for the number of chickens, n, because each chicken has two feet.
- Iterate from 0 to x/4 for the quantity of rabbits m, because each rabbit has four legs.
- In the loop, if the equation 2n + 4m equals x, then a solution has been found.
- Output the number of chickens as n and the number of rabbits as m.
Here is an example code written in C language:
#include <stdio.h>
int main() {
int x; // 总脚数
printf("请输入笼子里的总脚数:");
scanf("%d", &x);
int n, m;
int found = 0; // 标记是否找到解
for (n = 0; n <= x/2; n++) {
for (m = 0; m <= x/4; m++) {
if (2*n + 4*m == x) {
found = 1;
break;
}
}
if (found) {
break;
}
}
if (found) {
printf("鸡的数量:%d\n", n);
printf("兔的数量:%d\n", m);
} else {
printf("无解\n");
}
return 0;
}
By running this code and inputting the total number of legs, you can obtain the solution for the number of chickens and rabbits.