#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <ctype.h>
#include <math.h>

# define M_PI		3.14159265358979323846	/* pi */
#define MAX 10001

double cranex[MAX], craney[MAX];
double a_sin[360], a_cos[360];
int engls[MAX];

int N;

void print()
{
	char buf1[50], buf2[50], *b1, *b2;
	sprintf( buf1, "%.2f", cranex[N] );
	sprintf( buf2, "%.2f", craney[N] );
	b1 = strcmp("-0.00", buf1) ? buf1 : buf1+1;
	b2 = strcmp("-0.00", buf2) ? buf2 : buf2+1;
	printf("%s %s\n", b1, b2 );
}

void rotabout( double x, double y, int by, int i )
{
	double ox, oy, nx, ny;
	ox = cranex[i]-x;
	oy = craney[i]-y;
	nx = ox*a_cos[by] - oy*a_sin[by];
	ny = ox*a_sin[by] + oy*a_cos[by];
	cranex[i] = nx + x;
	craney[i] = ny + y;
}

void rot( int s, int a )
{
	int i;
	int by = a-engls[s];
	if (by < 0)
		by += 360;
	for ( i = s+1; i <= N; ++i ) {
		rotabout( cranex[s], craney[s], by, i );
	}
}

int main()
{
	int i, l, c, sep = 0;
	for ( i = 0; i < 360; ++i ) {
		a_sin[i] = sin((i*M_PI)/180);
		a_cos[i] = cos((i*M_PI)/180);
	}

	while (scanf( "%d %d", &N, &c ) == 2) {
		if (sep)
			puts("");
		else
			sep = 1;
		memset( cranex, 0, sizeof(cranex) );
		for ( i = 1; i <= N; ++i ) {
			scanf( "%d", &l );
			engls[i] = 180;
			craney[i] = craney[i-1] + l;
		}
		while (c--) {
			int s, a;
			scanf( "%d %d", &s, &a );
			rot( s, a );
			print();
		}
	}
	return 0;
}