数学趣题——具有特殊性质的数

1、题目

   4位数abcd,有这样的性质：abcd=(ab+cd)的平方。ab,cd都为两个2位数，求这个4位数abcd。

2、源码

   1: #include <stdio.h>

   2:  

   3: void func()

   4: {

   5:     int a, b, c, d;

   6:  

   7:     for(a = 1; a <= 9; a++)

   8:         for(b = 0; b <= 9; b++)

   9:             for(c = 0; c <= 9; c++)

  10:                 for(d = 0; d <= 9; d++)

  11:                 {

  12:                     if(a * 1000 + b * 100 + c * 10 + d == ((a * 10 + b) + (c * 10 + d))* ((a * 10 + b) + (c * 10 + d)))

  13:                         printf("%d%d%d%d\t", a, b, c, d);

  14:                 }

  15: }

  16:  

  17: int main()

  18: {

  19:     printf("There are following numbers according with the condition\n");

  20:     func();

  21:     return 0;

  22: }