#include <iostream>
#include <queue>
using namespace std;
void fast_io(void)
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
}
int main(void)
{
fast_io();
queue<int> q;
int n, k;
while(true)
{
cin >> n >> k;
if(n+k==0) break;
for (int i = 0; i < n; i++)
{
q.push(i + 1);
}
while (n--)
{
for (int i = 0; i < k; i++)
{
if (i == k - 1 )
{
if(q.size()==1)
cout << q.front() << "\n";
}
else
{
q.push(q.front());
}
q.pop();
}
}
}
}
큐를 사용해서 해결했다.