每次需要满足的条件:abs(x[j]-x[k])==abs(j-k) || x[j]==x[k]
#include <iostream>
#include <cmath>
using namespace std;
const int num=8;
int sum=0;
int x[num]={0};
bool place (int k)
{
for(int j=1;j<k;j++)
{
if(abs(x[j]-x[k])==abs(j-k)||x[j]==x[k])
return false;
}
return true;
}
void backtrack(int t)
{
if(t>num)
{
sum++;
for(int m=1;m<=num;m++)
{
cout<<x[m];
}
cout<<endl;
}
else
{
for(int i=1;i<=num;i++)
{
x[t]=i;
if(place(t))backtrack(t+1);
}
}
}
int main()
{
backtrack(1);
cout<<"All solutions: "<<sum;
return 0;
}
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