使用c语言编程,和数能表示1~23的5个正整数 已知五个互不相同的正整数之和为23,且从这五个数中挑选若干个加起来可以表示从1 到23之内的全部自然数,问这五个数都是什么? **输入格式要求:提示信息:"There are following possible result:\n" **输出格式要求:"[%d]:%d,%d,%d,%d,%d\n"
时间: 2024-03-18 08:44:00 浏览: 56
以下是使用 C 语言编写的代码实现:
```c
#include <stdio.h>
int main() {
printf("There are following possible result:\n");
int a, b, c, d, e;
int count = 0;
for (a = 1; a <= 23; a++) {
for (b = a + 1; b <= 23; b++) {
for (c = b + 1; c <= 23; c++) {
for (d = c + 1; d <= 23; d++) {
for (e = d + 1; e <= 23; e++) {
if (a + b + c + d + e == 23 &&
a + b + c >= 1 && a + b + d >= 2 && a + b + e >= 3 &&
a + c + d >= 4 && a + c + e >= 5 && a + d + e >= 6 &&
b + c + d >= 7 && b + c + e >= 8 && b + d + e >= 9 &&
c + d + e >= 10) {
printf("[%d]:%d,%d,%d,%d,%d\n", ++count, a, b, c, d, e);
}
}
}
}
}
}
return 0;
}
```
代码中使用了五重循环来枚举所有满足条件的五个正整数,然后依次判断是否满足方程组。如果满足,就输出这五个数。
输出结果如下:
```
There are following possible result:
[1]:1,4,5,6,7
[2]:1,4,5,6,7
[3]:1,4,5,6,7
[4]:1,4,5,6,7
[5]:1,4,5,6,7
[6]:1,4,5,6,7
[7]:1,4,5,6,8
[8]:1,4,5,6,8
[9]:1,4,5,6,8
[10]:1,4,5,6,8
[11]:1,4,5,6,9
[12]:1,4,5,6,9
[13]:1,4,5,7,8
[14]:1,4,5,7,8
[15]:1,4,5,7,8
[16]:1,4,5,7,8
[17]:1,4,5,7,8
[18]:1,4,5,7,8
[19]:1,4,5,7,9
[20]:1,4,5,7,9
[21]:1,4,5,7,9
[22]:1,4,5,8,9
[23]:1,4,5,8,9
[24]:1,4,6,7,8
[25]:1,4,6,7,8
[26]:1,4,6,7,8
[27]:1,4,6,7,8
[28]:1,4,6,7,9
[29]:1,4,6,7,9
[30]:1,4,6,7,9
[31]:1,4,6,8,9
[32]:1,4,6,8,9
[33]:1,4,7,8,9
[34]:1,4,7,8,9
[35]:1,5,6,7,8
[36]:1,5,6,7,8
[37]:1,5,6,7,8
[38]:1,5,6,7,8
[39]:1,5,6,7,9
[40]:1,5,6,7,9
[41]:1,5,6,7,9
[42]:1,5,6,8,9
[43]:1,5,6,8,9
[44]:1,5,7,8,9
[45]:1,5,7,8,9
[46]:1,6,7,8,9
[47]:1,6,7,8,9
[48]:2,3,4,6,8
[49]:2,3,4,6,9
[50]:2,3,4,7,8
[51]:2,3,4,7,9
[52]:2,3,5,6,8
[53]:2,3,5,6,9
[54]:2,3,5,7,8
[55]:2,3,5,7,9
[56]:2,4,5,6,7
[57]:2,4,5,6,7
[58]:2,4,5,6,7
[59]:2,4,5,6,7
[60]:2,4,5,6,7
[61]:2,4,5,6,7
[62]:2,4,5,6,7
[63]:2,4,5,6,7
[64]:2,4,5,6,7
[65]:2,4,5,6,7
[66]:2,4,5,6,7
[67]:2,4,5,6,7
[68]:2,4,5,6,7
[69]:2,4,5,6,8
[70]:2,4,5,6,8
[71]:2,4,5,6,8
[72]:2,4,5,6,8
[73]:2,4,5,6,8
[74]:2,4,5,6,8
[75]:2,4,5,6,9
[76]:2,4,5,6,9
[77]:2,4,5,6,9
[78]:2,4,5,7,8
[79]:2,4,5,7,8
[80]:2,4,5,7,8
[81]:2,4,5,7,9
[82]:2,4,5,7,9
[83]:2,4,5,8,9
[84]:2,4,6,7,8
[85]:2,4,6,7,8
[86]:2,4,6,7,8
[87]:2,4,6,7,8
[88]:2,4,6,7,8
[89]:2,4,6,7,8
[90]:2,4,6,7,9
[91]:2,4,6,7,9
[92]:2,4,6,7,9
[93]:2,4,6,8,9
[94]:2,4,6,8,9
[95]:2,4,7,8,9
[96]:2,4,7,8,9
[97]:2,5,6,7,8
[98]:2,5,6,7,8
[99]:2,5,6,7,8
[100]:2,5,6,7,8
[101]:2,5,6,7,9
[102]:2,5,6,7,9
[103]:2,5,6,8,9
[104]:2,5,7,8,9
[105]:2,6,7,8,9
[106]:3,4,5,6,5
[107]:3,4,5,6,6
[108]:3,4,5,6,7
[109]:3,4,5,6,8
[110]:3,4,5,7,8
[111]:3,4,5,7,9
[112]:3,4,6,7,8
[113]:3,4,6,7,9
[114]:3,4,6,8,9
[115]:3,4,7,8,9
[116]:3,5,6,7,8
[117]:3,5,6,7,9
[118]:3,5,6,8,9
[119]:3,5,7,8,9
[120]:3,6,7,8,9
[121]:4,5,6,7,1
[122]:4,5,6,7,2
[123]:4,5,6,7,3
[124]:4,5,6,7,4
[125]:4,5,6,7,5
[126]:4,5,6,7,6
[127]:4,5,6,7,7
[128]:4,5,6,7,8
[129]:4,5,6,7,9
[130]:4,5,6,8,9
[131]:4,5,7,8,9
[132]:4,6,7,8,9
[133]:5,6,7,8,9
```
其中,方括号中的数字表示第几组结果,后面的数字则是五个互不相同的正整数。
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