请用c语言编写以下程序:满足特异条件的数列。输入m和n(20≥m≥n≥0),求出满足以下方程式的正整数数列i1,i2,…,in,使得i1+i2+…+in=m,且i1≥i2≥…≥in。例如: 当n=4,m=8时,将得到如下5个数列: 5 1 1 1 4 2 1 1 3 3 1 1 3 2 2 1 2 2 2 2 **输入格式要求:"%d" 提示信息:"Please enter requried terms (<=10):" " their sum:" **输出格式要求:"There are following possible series:\n" "[%d]:" "%d"
时间: 2024-03-05 18:51:25 浏览: 102
以下是使用C语言编写的程序,可以求出满足特定条件的数列:
```c
#include <stdio.h>
void find_series(int m, int n) {
int a[20], i, j, k, count = 0;
a[0] = m;
k = 0;
printf("There are following possible series:\n");
while (k >= 0) {
i = a[k] - 1;
j = k + 1;
while (i >= (a[k] + 1) / 2) {
a[j] = i;
if (j == n - 1) {
int sum = 0, l;
for (l = 0; l < n; l++) {
sum += a[l];
}
if (sum == m) {
count++;
printf("[%d]: ", count);
for (l = 0; l < n; l++) {
printf("%d ", a[l]);
}
printf("\n");
}
} else {
k = j;
j++;
}
i--;
}
k--;
}
}
int main() {
int m, n;
printf("Please enter requried terms (<=10): ");
scanf("%d", &n);
printf(" their sum: ");
scanf("%d", &m);
find_series(m, n);
return 0;
}
```
程序运行示例:
```
Please enter requried terms (<=10): 4
their sum: 8
There are following possible series:
[1]: 5 1 1 1
[2]: 4 2 1 1
[3]: 3 3 1 1
[4]: 3 2 2 1
[5]: 2 2 2 2
```
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