#include <stdio.h>

double cos_t[] = { 1.000000, 0.999848, 0.999391, 0.998630, 0.997564, 0.996195, 0.994522, 0.992546, 0.990268, 0.987688, 0.984808, 0.981627, 0.978148, 0.974370, 0.970296, 0.965926, 0.961262, 0.956305, 0.951057, 0.945519, 0.939693, 0.933580, 0.927184, 0.920505, 0.913545, 0.906308, 0.898794, 0.891007, 0.882948, 0.874620, 0.866025, 0.857167, 0.848048, 0.838671, 0.829038, 0.819152, 0.809017, 0.798636, 0.788011, 0.777146, 0.766044, 0.754710, 0.743145, 0.731354, 0.719340, 0.707107, 0.694658, 0.681998, 0.669131, 0.656059, 0.642788, 0.629320, 0.615661, 0.601815, 0.587785, 0.573576, 0.559193, 0.544639, 0.529919, 0.515038, 0.500000, 0.484810, 0.469472, 0.453990, 0.438371, 0.422618, 0.406737, 0.390731, 0.374607, 0.358368, 0.342020, 0.325568, 0.309017, 0.292372, 0.275637, 0.258819, 0.241922, 0.224951, 0.207912, 0.190809, 0.173648, 0.156434, 0.139173, 0.121869, 0.104528, 0.087156, 0.069756, 0.052336, 0.034899, 0.017452, 0.000000, -0.017452, -0.034899, -0.052336, -0.069756, -0.087156, -0.104528, -0.121869, -0.139173, -0.156434, -0.173648, -0.190809, -0.207912, -0.224951, -0.241922, -0.258819, -0.275637, -0.292372, -0.309017, -0.325568, -0.342020, -0.358368, -0.374607, -0.390731, -0.406737, -0.422618, -0.438371, -0.453990, -0.469472, -0.484810, -0.500000, -0.515038, -0.529919, -0.544639, -0.559193, -0.573576, -0.587785, -0.601815, -0.615661, -0.629320, -0.642788, -0.656059, -0.669131, -0.681998, -0.694658, -0.707107, -0.719340, -0.731354, -0.743145, -0.754710, -0.766044, -0.777146, -0.788011, -0.798636, -0.809017, -0.819152, -0.829038, -0.838671, -0.848048, -0.857167, -0.866025, -0.874620, -0.882948, -0.891007, -0.898794, -0.906308, -0.913545, -0.920505, -0.927184, -0.933580, -0.939693, -0.945519, -0.951057, -0.956305, -0.961262, -0.965926, -0.970296, -0.974370, -0.978148, -0.981627, -0.984808, -0.987688, -0.990268, -0.992546, -0.994522, -0.996195, -0.997564, -0.998630, -0.999391, -0.999848, -1.000000, -0.999848, -0.999391, -0.998630, -0.997564, -0.996195, -0.994522, -0.992546, -0.990268, -0.987688, -0.984808, -0.981627, -0.978148, -0.974370, -0.970296, -0.965926, -0.961262, -0.956305, -0.951057, -0.945519, -0.939693, -0.933580, -0.927184, -0.920505, -0.913545, -0.906308, -0.898794, -0.891007, -0.882948, -0.874620, -0.866025, -0.857167, -0.848048, -0.838671, -0.829038, -0.819152, -0.809017, -0.798636, -0.788011, -0.777146, -0.766044, -0.754710, -0.743145, -0.731354, -0.719340, -0.707107, -0.694658, -0.681998, -0.669131, -0.656059, -0.642788, -0.629320, -0.615661, -0.601815, -0.587785, -0.573576, -0.559193, -0.544639, -0.529919, -0.515038, -0.500000, -0.484810, -0.469472, -0.453990, -0.438371, -0.422618, -0.406737, -0.390731, -0.374607, -0.358368, -0.342020, -0.325568, -0.309017, -0.292372, -0.275637, -0.258819, -0.241922, -0.224951, -0.207912, -0.190809, -0.173648, -0.156434, -0.139173, -0.121869, -0.104528, -0.087156, -0.069756, -0.052336, -0.034899, -0.017452, -0.000000, 0.017452, 0.034899, 0.052336, 0.069756, 0.087156, 0.104528, 0.121869, 0.139173, 0.156434, 0.173648, 0.190809, 0.207912, 0.224951, 0.241922, 0.258819, 0.275637, 0.292372, 0.309017, 0.325568, 0.342020, 0.358368, 0.374607, 0.390731, 0.406737, 0.422618, 0.438371, 0.453990, 0.469472, 0.484810, 0.500000, 0.515038, 0.529919, 0.544639, 0.559193, 0.573576, 0.587785, 0.601815, 0.615661, 0.629320, 0.642788, 0.656059, 0.669131, 0.681998, 0.694658, 0.707107, 0.719340, 0.731354, 0.743145, 0.754710, 0.766044, 0.777146, 0.788011, 0.798636, 0.809017, 0.819152, 0.829038, 0.838671, 0.848048, 0.857167, 0.866025, 0.874620, 0.882948, 0.891007, 0.898794, 0.906308, 0.913545, 0.920505, 0.927184, 0.933580, 0.939693, 0.945519, 0.951057, 0.956305, 0.961262, 0.965926, 0.970296, 0.974370, 0.978148, 0.981627, 0.984808, 0.987688, 0.990268, 0.992546, 0.994522, 0.996195, 0.997564, 0.998630, 0.999391, 0.999848 };
double sin_t[] = { 0.000000, 0.017452, 0.034899, 0.052336, 0.069756, 0.087156, 0.104528, 0.121869, 0.139173, 0.156434, 0.173648, 0.190809, 0.207912, 0.224951, 0.241922, 0.258819, 0.275637, 0.292372, 0.309017, 0.325568, 0.342020, 0.358368, 0.374607, 0.390731, 0.406737, 0.422618, 0.438371, 0.453990, 0.469472, 0.484810, 0.500000, 0.515038, 0.529919, 0.544639, 0.559193, 0.573576, 0.587785, 0.601815, 0.615661, 0.629320, 0.642788, 0.656059, 0.669131, 0.681998, 0.694658, 0.707107, 0.719340, 0.731354, 0.743145, 0.754710, 0.766044, 0.777146, 0.788011, 0.798636, 0.809017, 0.819152, 0.829038, 0.838671, 0.848048, 0.857167, 0.866025, 0.874620, 0.882948, 0.891007, 0.898794, 0.906308, 0.913545, 0.920505, 0.927184, 0.933580, 0.939693, 0.945519, 0.951057, 0.956305, 0.961262, 0.965926, 0.970296, 0.974370, 0.978148, 0.981627, 0.984808, 0.987688, 0.990268, 0.992546, 0.994522, 0.996195, 0.997564, 0.998630, 0.999391, 0.999848, 1.000000, 0.999848, 0.999391, 0.998630, 0.997564, 0.996195, 0.994522, 0.992546, 0.990268, 0.987688, 0.984808, 0.981627, 0.978148, 0.974370, 0.970296, 0.965926, 0.961262, 0.956305, 0.951057, 0.945519, 0.939693, 0.933580, 0.927184, 0.920505, 0.913545, 0.906308, 0.898794, 0.891007, 0.882948, 0.874620, 0.866025, 0.857167, 0.848048, 0.838671, 0.829038, 0.819152, 0.809017, 0.798636, 0.788011, 0.777146, 0.766044, 0.754710, 0.743145, 0.731354, 0.719340, 0.707107, 0.694658, 0.681998, 0.669131, 0.656059, 0.642788, 0.629320, 0.615661, 0.601815, 0.587785, 0.573576, 0.559193, 0.544639, 0.529919, 0.515038, 0.500000, 0.484810, 0.469472, 0.453990, 0.438371, 0.422618, 0.406737, 0.390731, 0.374607, 0.358368, 0.342020, 0.325568, 0.309017, 0.292372, 0.275637, 0.258819, 0.241922, 0.224951, 0.207912, 0.190809, 0.173648, 0.156434, 0.139173, 0.121869, 0.104528, 0.087156, 0.069756, 0.052336, 0.034899, 0.017452, 0.000000, -0.017452, -0.034899, -0.052336, -0.069756, -0.087156, -0.104528, -0.121869, -0.139173, -0.156434, -0.173648, -0.190809, -0.207912, -0.224951, -0.241922, -0.258819, -0.275637, -0.292372, -0.309017, -0.325568, -0.342020, -0.358368, -0.374607, -0.390731, -0.406737, -0.422618, -0.438371, -0.453990, -0.469472, -0.484810, -0.500000, -0.515038, -0.529919, -0.544639, -0.559193, -0.573576, -0.587785, -0.601815, -0.615661, -0.629320, -0.642788, -0.656059, -0.669131, -0.681998, -0.694658, -0.707107, -0.719340, -0.731354, -0.743145, -0.754710, -0.766044, -0.777146, -0.788011, -0.798636, -0.809017, -0.819152, -0.829038, -0.838671, -0.848048, -0.857167, -0.866025, -0.874620, -0.882948, -0.891007, -0.898794, -0.906308, -0.913545, -0.920505, -0.927184, -0.933580, -0.939693, -0.945519, -0.951057, -0.956305, -0.961262, -0.965926, -0.970296, -0.974370, -0.978148, -0.981627, -0.984808, -0.987688, -0.990268, -0.992546, -0.994522, -0.996195, -0.997564, -0.998630, -0.999391, -0.999848, -1.000000, -0.999848, -0.999391, -0.998630, -0.997564, -0.996195, -0.994522, -0.992546, -0.990268, -0.987688, -0.984808, -0.981627, -0.978148, -0.974370, -0.970296, -0.965926, -0.961262, -0.956305, -0.951057, -0.945519, -0.939693, -0.933580, -0.927184, -0.920505, -0.913545, -0.906308, -0.898794, -0.891007, -0.882948, -0.874620, -0.866025, -0.857167, -0.848048, -0.838671, -0.829038, -0.819152, -0.809017, -0.798636, -0.788011, -0.777146, -0.766044, -0.754710, -0.743145, -0.731354, -0.719340, -0.707107, -0.694658, -0.681998, -0.669131, -0.656059, -0.642788, -0.629320, -0.615661, -0.601815, -0.587785, -0.573576, -0.559193, -0.544639, -0.529919, -0.515038, -0.500000, -0.484810, -0.469472, -0.453990, -0.438371, -0.422618, -0.406737, -0.390731, -0.374607, -0.358368, -0.342020, -0.325568, -0.309017, -0.292372, -0.275637, -0.258819, -0.241922, -0.224951, -0.207912, -0.190809, -0.173648, -0.156434, -0.139173, -0.121869, -0.104528, -0.087156, -0.069756, -0.052336, -0.034899, -0.017452 };

struct rameno_s
{
	int dlzka;
	int uhol;
	double x, y;
} ramena[11111];


int main()
{
	int n, c, i, j, k, uhol, v;

	v = scanf("%d %d", &n, &c);

	while (v != EOF)
	{
		for (i = 0; i < n; i++)
		{
			scanf("%d", &ramena[i].dlzka);

			if (i == 0)
				ramena[i].y = ramena[i].dlzka;
			else
				ramena[i].y = ramena[i -1].y + ramena[i].dlzka;

			ramena[i].x = 0;
			ramena[i].uhol = 180;
		}

		for (i = 0; i < c; i++)
		{
			scanf("%d %d", &k, &uhol);

			for (j = k; j < n; j++)
			{
				ramena[j].uhol = (ramena[j].uhol + uhol) % 360;

				ramena[j].x = -ramena[j].dlzka * sin_t[ramena[j].uhol] + ramena[j -1].x;
				ramena[j].y = -ramena[j].dlzka * cos_t[ramena[j].uhol] + ramena[j -1].y;
			}

			if (ramena[n -1].x < 0 && ramena[n -1].x > -0.005)
				printf("0.00 ");
			else
				printf("%.2f ", ramena[n -1].x);

			if (ramena[n -1].y < 0 && ramena[n -1].y > -0.005)
				printf("0.00\n");
			else
				printf("%.2f\n", ramena[n -1].y);
		}

		v = scanf("%d %d", &n, &c);

		if (v != EOF)
			printf("\n");
	}

	return 0;
}