//---------------------------------------------------------------------------

#include <stdio.h>

int n,k;
int *pos;
//---------------------------------------------------------------------------
void generaCasos(int n,int k,int itera,FILE *output)
   {
   int i;
   fprintf(output,"%d %d\n",n,k);
   for(i = 1; i <= n; i++)
      { fprintf(output,"%d ",(i*itera)%n + 1); }

   }
//---------------------------------------------------------------------------

void quickSort(int *array,int *indice,int lower,int higher)
   {
   int lo, hi, mid, t;

   lo = lower;
   hi = higher;
   mid = array[(lo+hi)/2];
   do
   {
   while( array[lo] < mid )
      lo++;
   while( array[hi] > mid )
      hi--;
   if( lo <= hi )
      {
      // Intercambiamos los extremos.
      t = array[lo];
      array[lo] = array[hi];
      array[hi] = t;

      // Intercambiamos los índices
      t = indice[lo];
      indice[lo] = indice[hi];
      indice[hi] = t;

      lo++;
      hi--;
      }
   } while (lo <= hi);

   if( hi > lower )
      quickSort(array,indice,lower,hi);

   if( lo < higher )
      quickSort(array,indice,lo,higher);
   }
//---------------------------------------------------------------------------
void leeDatos(void)
   {
   int i;
   FILE *input = fopen("input.txt","r+t");

   fscanf(input,"%d %d",&n,&k);

   pos = new int[n];

   for(i = 0; i < n; i++)
      fscanf(input,"%d ",&pos[i]);

   fclose(input);
   }
//---------------------------------------------------------------------------
int main(void)
   {
   FILE *output;
   int i;
   int *index;

   /*
   output = fopen("input8.txt","w+t");
   generaCasos(11,90000,100,output);
   fclose(output);
              */

   leeDatos();

   index = new int[n];
   for(i = 0; i < n-1; i++)
      {
      pos[i] = ( pos[i] + ((i+1)*k) )%n;
      index[i] = i+1;
      }

   pos[n-1] = n;
   index[n-1] = n;

   quickSort(pos,index,0,n-1);



   output = fopen("output.txt","w+t");

   if( n == 1 )
      fprintf(output,"DE FIESTA");
   else if( pos[0] == pos[1] )
      fprintf(output,"DE FIESTA");
   else
      for(i = 0; i < n; i++)
         fprintf(output,"%d ",index[i]);

   delete[] pos;
   delete[] index;
   fclose(output);
   return 0;
   }
//---------------------------------------------------------------------------