#include <stdio.h>
#include <math.h>

#define M_PI 3.141592653589793238462

typedef struct 
{ 
 float x,y;
 float an;
} POINT;

POINT pts[10000];
int ptc;

int cmc;

void rotate(int d, float an)
{
  int i;
  float matrix[2][2];
  float x, y;
  float nx, ny;
  float an2;
  
  for (i=d; i<ptc; i++)
  {
    /*
    printf("Setting point [%f %f]\n#########\n", pts[i].x, pts[i].y);
     */
    x = pts[i].x - pts[d-1].x;
    y = pts[i].y - pts[d-1].y;
    
    /*
    printf("New position is %f %f\n", x, y);
    printf("dest %f, source %f\n", an, pts[i].an);
    */
    
    an2 = an-pts[i].an;
    /*
    printf("Angle dif is %f\n", an2);
    */
    nx = x*cos(an2)-y*sin(an2);
    ny = x*sin(an2)+y*cos(an2);
    
    /*
    printf(" new x,y is %f %f\n", nx,ny);
    */
    
    pts[i].x = pts[d-1].x + nx;
    pts[i].y = pts[d-1].y + ny;
  }
}

int main(void)
{
  int i;
  int d; 
  int f;
  int j;
  int res;
  
  while (1)
  {
  
  res = scanf("%d %d\n", &ptc, &cmc);
  if (res==-1)
    break;
    
  for (i=0; i<ptc; i++)   {
     scanf("%d", &d);
     if (i==0) pts[i].x = d; else pts[i].x = pts[i-1].x + d;
     pts[i].y = 0;
     pts[i].an = M_PI;
  }
 
  for (i=0; i<cmc; i++)  {
    scanf("%d %d", &d, &f);
    rotate(d,((float) f)*(M_PI/180)); 
    /*
    printf("stat: ");
    for (j=0; j<ptc; j++)
      printf("[%f %f %f] ", pts[j].x, pts[j].y, pts[j].an);
    printf("\n");
    */
    
    printf("%.2f %.2f\n", -pts[ptc-1].y, pts[ptc-1].x);
    }
    printf("\n");
  }
}