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

double len[20000];
double ang[20000];

int main(void)
{
  int n,c,i,j;
  
while (scanf("%d %d", &n, &c) == 2) {
  for (i=0; i<n; i++) {
    scanf("%lf", &(len[i]));
    ang[i] = 180.0;
  }


  for (j=0; j<c; j++) {
    double f;
    double x=0, y=0, a=180;
    scanf("%d %lf", &i, &f);
    ang[i] = f;
    for (i=0; i<n; i++) {
      a += ang[i]-180;
      x += len[i] * sin(a*(3.14159265953 / 180));
      y += -len[i] * cos(a*(3.14159265953 / 180));
/*      printf("[%d %.2lf %.2lf]",i, x, y);*/

    }
    printf("%.2lf %.2lf\n", x, y);
  }
  
  printf("\n");
}

  return 0;
}