2015-The 6th Blue Bridge Cup Individual Competition Provincial Competition (software) Zhenti C University Group A 1. Equation positive integer solution

Title description

Equation: a*a + b*b + c*c = 1000
Does this equation have a positive integer solution? There are: a,b,c=6,8,30 is a set of solutions.
Can you calculate another suitable solution?
Please fill in the smallest number in the solution.
Note: What you submit should be an integer, do not fill in any extra content or explanatory text.
Analysis: It's relatively simple, just direct violence, similar to the process of typing a meter:

#include<iostream>
#include<cstdio>
using namespace std;
int main(){
    
    
	for(int i=1;i<32;i++){
    
    //32*32=1024
		for(int j=i;j<32;j++){
    
    
			for(int k=j;k<32;k++){
    
    
				if(i*i+j*j+k*k==1000){
    
    
					cout<<i<<' '<<j<<' '<<k<<endl;
				}
			}
		}
	}
	return 0;
}

Output:

6 8 30
10 18 24

So the answer is 10