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// kadai1-1.cpp
// ex) plot "???.txt" w l
#define _USE_MATH_DEFINES
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
 
//ランダムウォークのステップ数
const int STEPS = 1000;
 
//0以上1未満の一様乱数を生成する
double frand()
{
	return rand() / (RAND_MAX+1.0);
}
 
//Box-Muller法で標準正規乱数を生成する
double box_muller()
{
	//Box-Muller法は2個の一様乱数から2個の正規乱数を生成する
	//そのうち一方はすぐに返し、もう一方は次に呼び出されたときに返す
	static bool haveRandom = false;
	static double random;
 
	if(haveRandom){
		//正規乱数はすでにできている
		haveRandom = false;
		return random;
	} else {
		//正規乱数は手元にないので新しく2個の正規乱数を作る
		double u1 = sqrt(-2*log(1-frand()));
		double u2 = 2*M_PI*frand();
 
		//2個のうち一方は次の呼び出しのためにとっておく
		haveRandom = true;
		random = u1 * sin(u2);
 
		//もう一方を返す
		return u1 * cos(u2);
	}
}
 
int main()
{
	double	x, y;
	int	step;
 
	//乱数を初期化する
	srand((unsigned int)time(NULL));
 
	//STEPSステップのランダムウォークを実施する
	x = y = 0.0;
	for (step = 0; step < STEPS; step++) {
		x += box_muller();
		y += box_muller();
		printf("% 5.1f % 5.1f\n", x, y);
	}
 
	return 0;
}

Success #stdin #stdout 0.02s 2680KB

stdin

Standard input is empty

stdout

  0.5   0.7
  1.2  -0.4
  1.1  -0.5
  2.5  -0.6
  1.6  -0.8
  4.0  -1.6
  2.7  -1.6
  4.4  -1.8
  4.1  -1.7
  4.7  -3.0
  5.6  -1.3
  5.4  -1.6
  5.4  -3.4
  5.0  -1.7
  3.5  -2.0
  4.3  -2.1
  5.1  -3.4
  4.5  -5.2
  3.3  -5.0
  4.5  -5.9
  4.4  -6.0
  2.7  -6.8
  2.3  -7.2
  2.6  -6.0
  2.7  -5.6
  2.9  -5.8
  3.7  -5.1
  4.2  -3.9
  2.6  -2.7
  1.6  -3.2
  1.6  -5.6
  0.7  -6.5
 -0.4  -5.8
  0.3  -5.2
  2.3  -5.0
  2.4  -5.0
  3.3  -6.2
  3.8  -7.2
  5.0  -7.2
  4.7  -7.3
  5.3  -7.0
  4.3  -7.6
  4.9  -7.2
  6.5  -6.6
  6.6  -5.5
  5.3  -4.9
  6.1  -2.0
  5.8  -2.2
  4.8  -1.2
  3.3  -1.2
  2.9  -2.1
  3.8  -1.7
  4.5  -2.8
  6.6  -2.4
  8.3  -3.3
  9.5  -2.9
  9.6  -2.8
 10.1  -1.5
  9.5  -1.2
  9.1  -1.8
 10.2  -2.8
 10.0  -3.1
 10.2  -2.8
 10.1  -3.4
 11.0  -4.2
 11.6  -4.5
 10.4  -5.2
 12.6  -3.1
 13.4  -3.9
 13.3  -3.3
 13.1  -5.1
 13.4  -5.9
 15.2  -6.3
 18.6  -7.0
 18.6  -6.0
 19.9  -5.6
 19.8  -6.1
 20.0  -4.6
 21.6  -5.7
 19.9  -4.0
 21.0  -2.6
 20.5  -2.0
 20.1  -0.4
 20.8   0.5
 20.4   0.1
 21.4  -0.2
 21.4  -1.1
 22.2   0.4
 22.3  -1.2
 22.7  -0.9
 22.8  -1.0
 23.1  -0.6
 23.7  -1.5
 23.3  -0.6
 22.5   0.8
 21.0   0.4
 22.1   0.4
 22.9   2.5
 22.2   2.9
 21.3   3.2
 21.4   2.9
 20.4   3.4
 21.0   4.4
 21.3   5.7
 21.2   3.4
 22.0   3.1
 20.8   3.3
 21.3   3.3
 20.4   3.3
 21.2   3.7
 23.1   3.9
 22.7   5.2
 22.5   5.2
 22.2   6.3
 23.3   4.1
 24.9   4.1
 25.7   5.2
 26.6   5.7
 27.5   5.8
 27.4   6.7
 26.2   5.5
 26.1   6.2
 25.9   6.6
 25.3   7.1
 23.6   6.3
 22.9   5.4
 24.1   6.0
 22.3   4.6
 21.1   5.3
 19.0   4.6
 18.6   4.0
 19.2   2.9
 20.9   2.6
 22.5   4.2
 23.2   7.2
 23.2   6.2
 21.7   5.0
 21.9   4.9
 21.5   7.2
 21.5   6.3
 21.9   4.4
 21.0   4.8
 20.2   6.6
 19.9   6.7
 21.4   6.1
 21.6   6.1
 20.4   5.6
 18.9   6.6
 18.6   5.4
 17.4   5.2
 19.5   4.1
 19.5   3.3
 19.1   4.5
 17.6   4.8
 18.9   4.7
 18.3   5.0
 16.9   4.1
 15.5   2.6
 17.3   1.3
 17.1   1.0
 18.5   2.2
 17.2   2.7
 15.9   3.4
 16.4   5.3
 16.0   5.7
 17.5   6.3
 18.3   6.4
 19.3   4.9
 18.4   4.9
 19.1   4.5
 18.0   4.4
 18.0   5.3
 18.1   5.7
 20.2   5.9
 20.6   5.9
 22.0   5.3
 21.9   5.8
 22.0   4.8
 22.1   6.3
 23.5   3.9
 23.3   2.5
 25.2   1.6
 24.8  -0.1
 26.3   0.7
 26.9   1.0
 25.6  -1.7
 25.0  -0.5
 24.0  -2.6
 24.5  -3.7
 23.3  -4.7
 22.3  -3.2
 23.3  -4.0
 24.7  -4.5
 24.0  -3.1
 23.6  -3.6
 23.8  -4.2
 24.8  -3.9
 26.0  -2.9
 24.3  -2.8
 24.9  -3.0
 25.5  -1.8
 26.4  -0.8
 25.3  -1.3
 27.1  -1.0
 26.1  -1.0
 26.7   0.3
 27.3   2.1
 26.9   2.2
 26.9   1.7
 26.0   3.2
 26.9   2.8
 26.9   2.2
 28.6   0.3
 28.2  -1.6
 29.1  -1.4
 30.5  -2.1
 30.2  -1.4
 30.2  -1.7
 31.5  -3.3
 31.4  -1.6
 30.6  -1.0
 31.0  -0.0
 29.7  -0.3
 29.6  -1.7
 28.9  -1.4
 28.7  -1.7
 28.9  -0.8
 28.5   0.1
 28.5   0.5
 28.3   0.6
 28.0  -0.2
 27.1  -0.3
 27.0  -0.2
 27.6  -0.8
 28.3  -0.7
 27.9  -1.0
 27.1  -1.6
 28.9  -1.5
 28.4  -1.4
 27.1  -0.3
 28.0  -2.2
 28.0  -1.9
 27.8  -1.8
 28.8  -1.0
 27.6  -1.9
 28.8  -2.1
 29.5  -2.7
 29.0  -1.6
 29.0  -2.4
 28.4  -2.7
 27.5  -1.3
 27.7  -0.7
 30.1  -0.6
 30.7  -0.4
 31.8  -0.7
 31.1   0.1
 29.4   0.3
 29.8  -1.0
 31.1   0.8
 29.3  -0.3
 27.7   0.3
 28.9   0.7
 29.8   0.9
 29.2   0.2
 27.6  -0.6
 27.0  -0.8
 25.1   0.4
 26.1  -1.0
 27.1  -1.2
 28.6  -2.8
 27.3  -1.0
 27.0  -1.7
 27.8  -3.4
 27.8  -4.6
 25.8  -2.9
 25.6  -3.8
 27.0  -5.0
 27.8  -3.6
 29.5  -1.9
 29.3  -3.7
 30.8  -3.5
 30.2  -4.1
 31.1  -3.7
 31.7  -4.6
 31.5  -4.5
 32.9  -5.1
 34.4  -5.8
 33.1  -6.3
 34.4  -5.3
 34.1  -6.2
 33.4  -7.1
 33.0  -6.1
 33.6  -5.1
 32.4  -4.8
 32.2  -4.0
 32.9  -4.1
 32.0  -4.1
 31.9  -5.4
 33.1  -4.9
 32.0  -5.6
 31.9  -4.6
 32.6  -3.6
 33.0  -3.1
 34.4  -3.8
 35.2  -3.7
 35.0  -5.1
 36.4  -4.7
 36.6  -4.4
 35.9  -4.6
 34.4  -4.7
 35.6  -6.2
 36.3  -5.2
 37.1  -4.6
 38.9  -5.5
 38.3  -5.3
 37.4  -6.0
 38.9  -5.6
 40.1  -6.7
 39.5  -6.5
 37.9  -5.6
 36.8  -5.3
 37.2  -4.9
 37.6  -3.8
 37.3  -4.6
 38.9  -5.0
 38.3  -5.3
 37.9  -7.1
 38.6  -5.6
 37.1  -6.7
 37.6  -6.7
 37.4  -6.9
 37.2  -8.2
 36.4  -7.0
 37.2  -8.1
 35.6  -7.4
 35.6  -6.6
 33.7  -5.6
 33.0  -5.0
 32.5  -6.3
 32.3  -6.0
 31.9  -4.6
 29.5  -4.1
 29.4  -4.2
 30.1  -5.5
 30.1  -6.3
 29.5  -4.6
 28.7  -4.0
 28.9  -4.0
 28.0  -5.3
 25.9  -5.8
 26.1  -5.4
 27.9  -5.7
 28.5  -4.6
 28.7  -3.7
 26.9  -2.8
 25.6  -2.9
 24.1  -3.3
 23.5  -6.4
 23.1  -7.0
 21.8  -6.8
 21.2  -6.0
 21.5  -7.8
 22.2  -9.3
 20.4  -9.5
 20.2 -10.6
 19.9 -10.8
 21.1 -12.4
 19.9 -12.2
 20.0 -12.4
 21.2 -13.3
 21.2 -12.5
 22.2 -12.3
 20.7 -11.4
 22.3 -11.3
 22.2 -11.0
 21.1 -10.6
 20.9  -9.2
 20.3  -8.9
 20.7  -8.7
 18.5  -9.7
 20.2  -9.7
 20.0 -10.1
 18.9 -11.8
 19.3 -12.2
 19.9 -13.3
 20.8 -14.7
 21.0 -14.3
 22.5 -15.6
 21.4 -16.4
 20.0 -18.1
 18.5 -16.6
 18.1 -16.8
 17.4 -15.5
 17.3 -18.3
 18.2 -18.7
 18.6 -17.9
 16.5 -17.1
 16.8 -19.0
 17.2 -19.0
 16.2 -20.1
 14.7 -19.1
 15.6 -19.7
 14.9 -18.6
 15.7 -17.0
 14.7 -19.1
 15.6 -20.7
 15.9 -20.9
 15.7 -21.9
 15.2 -21.3
 14.4 -22.1
 14.5 -22.9
 14.9 -21.2
 14.5 -21.7
 13.7 -18.9
 12.7 -20.0
 10.5 -19.3
 10.2 -19.2
  9.6 -19.8
 10.6 -18.6
  9.7 -20.1
  8.3 -21.3
  9.1 -22.1
 10.0 -22.9
 10.1 -24.3
 10.8 -24.1
  9.8 -24.3
 10.7 -22.7
 12.3 -22.6
 12.1 -24.4
 11.3 -24.3
 11.4 -23.3
  9.6 -21.9
  9.4 -20.5
  9.3 -20.4
  9.7 -21.4
  9.7 -21.1
  8.7 -21.3
  9.1 -21.5
  8.9 -22.5
  8.0 -23.8
  9.5 -23.0
  8.9 -23.3
  9.6 -23.5
 10.8 -22.9
 11.8 -24.0
 13.0 -23.8
 12.6 -23.6
 12.5 -24.7
 10.9 -24.1
 11.2 -23.7
 11.7 -23.2
 11.3 -24.1
  9.8 -24.3
 11.1 -23.7
 10.8 -23.0
 12.4 -23.2
 13.3 -23.6
 12.5 -24.6
 14.0 -23.3
 12.5 -23.8
 12.4 -21.0
 13.6 -20.4
 15.2 -20.3
 13.4 -19.7
 14.4 -20.3
 14.0 -21.7
 14.3 -21.6
 13.9 -22.6
 15.2 -22.6
 15.4 -24.3
 14.5 -24.2
 14.0 -25.8
 13.8 -24.8
 13.5 -23.9
 14.4 -23.6
 13.0 -22.2
 12.2 -21.9
 13.3 -21.7
 13.2 -20.6
 14.1 -21.3
 14.6 -20.9
 14.9 -19.6
 15.4 -19.6
 14.1 -21.4
 12.8 -24.2
 12.5 -23.2
 12.8 -22.6
 12.7 -22.7
 12.0 -21.8
 13.4 -23.5
 13.4 -24.6
 13.3 -25.3
 13.0 -25.9
 11.9 -27.1
 12.1 -24.5
 12.8 -23.5
 13.4 -22.8
 12.5 -22.5
 12.4 -22.0
 12.7 -21.7
 10.1 -21.9
 10.7 -21.1
  9.3 -20.4
 10.4 -19.1
  9.5 -20.6
 10.7 -17.6
 10.8 -16.6
  9.0 -17.8
  7.9 -19.8
  8.4 -20.3
  8.5 -22.4
  8.5 -22.1
  6.8 -21.0
  8.3 -20.8
  8.5 -22.3
  8.3 -22.8
  7.5 -23.0
  9.3 -23.4
  6.8 -24.6
  6.8 -25.1
  7.4 -24.6
  5.9 -26.6
  6.5 -27.3
  6.5 -26.6
  5.3 -26.3
  4.8 -26.1
  5.1 -25.5
  6.2 -24.5
  5.4 -23.4
  5.3 -22.9
  5.3 -22.3
  3.2 -21.1
  3.3 -23.0
  3.6 -23.9
  2.7 -23.9
  1.5 -24.5
  0.2 -24.6
  0.8 -24.8
 -0.1 -24.6
  0.4 -25.0
 -0.9 -23.0
 -0.4 -22.2
  0.8 -22.2
  1.4 -21.7
  0.6 -21.2
 -0.3 -21.1
 -1.1 -19.7
 -3.1 -19.7
 -3.2 -19.2
 -3.9 -18.8
 -2.9 -20.2
 -5.1 -18.4
 -4.8 -17.5
 -4.9 -18.3
 -6.3 -18.6
 -7.5 -19.4
 -5.5 -19.7
 -6.8 -18.6
 -4.1 -17.9
 -4.7 -16.9
 -3.8 -17.6
 -2.6 -16.2
 -2.9 -16.9
 -3.4 -15.6
 -1.2 -16.8
 -1.3 -18.4
 -1.8 -20.0
 -1.4 -19.6
 -3.5 -19.0
 -5.3 -19.9
 -8.1 -20.0
 -7.7 -20.5
 -6.7 -21.0
 -7.4 -20.8
 -7.6 -23.6
 -9.2 -22.8
-10.4 -23.5
 -9.6 -24.6
 -9.4 -23.8
 -9.3 -23.3
 -8.9 -23.6
 -7.0 -25.3
 -5.9 -24.6
 -6.1 -24.6
 -5.1 -25.4
 -5.4 -25.5
 -5.3 -24.5
 -4.6 -25.1
 -5.0 -25.5
 -4.4 -24.8
 -3.7 -24.1
 -2.5 -24.3
 -1.4 -23.1
  0.5 -23.4
  1.4 -23.5
  0.8 -23.2
  1.7 -21.5
  0.9 -21.1
  0.5 -20.5
  1.2 -22.6
  2.0 -22.7
  1.3 -23.3
  1.1 -23.9
  0.4 -23.0
  1.0 -23.7
  0.4 -24.7
  3.2 -23.9
  2.8 -25.3
  2.2 -25.3
  0.7 -25.1
  1.5 -25.9
  0.6 -23.8
  0.6 -23.5
 -0.2 -22.0
 -0.8 -23.1
 -0.6 -23.6
 -2.0 -23.3
 -1.4 -24.2
 -0.8 -24.4
 -1.5 -24.3
 -2.3 -25.9
 -2.2 -26.4
 -1.7 -27.9
 -0.9 -28.7
 -0.5 -28.0
 -0.6 -29.0
 -0.6 -28.7
 -0.4 -28.4
  0.2 -29.5
  0.9 -28.8
 -0.1 -29.3
  1.3 -27.3
  1.1 -27.2
  2.1 -24.3
  2.5 -23.5
  3.5 -22.4
  4.4 -24.1
  2.4 -24.9
  1.3 -24.1
  2.2 -24.6
  2.6 -25.9
  1.5 -26.8
  1.4 -27.3
  0.3 -28.4
  0.8 -27.3
  2.5 -26.9
  2.0 -28.5
  2.1 -29.1
  2.2 -28.8
 -0.1 -27.4
 -0.6 -28.1
 -0.3 -26.9
 -1.4 -26.6
 -0.0 -25.5
  0.5 -23.7
  0.4 -23.6
  0.4 -23.6
  0.5 -23.5
  0.6 -24.5
  2.0 -25.3
 -0.3 -24.8
 -1.5 -27.0
 -1.1 -26.5
 -1.1 -25.5
 -1.9 -25.0
 -2.6 -26.3
 -2.5 -26.0
 -4.4 -26.6
 -5.3 -27.8
 -6.8 -27.7
 -7.7 -29.4
 -6.4 -31.1
 -5.6 -31.5
 -6.2 -33.9
 -7.0 -35.2
 -8.1 -36.0
 -8.5 -36.3
 -8.8 -35.5
 -9.1 -37.1
 -7.9 -36.8
 -7.8 -36.3
 -7.3 -34.7
 -8.2 -35.3
 -6.7 -34.6
 -7.3 -34.2
 -6.3 -33.4
 -6.6 -33.3
 -8.7 -31.9
 -7.9 -32.5
 -7.4 -32.3
 -7.5 -33.5
 -8.0 -35.0
 -7.1 -35.2
 -4.2 -34.1
 -5.7 -34.5
 -5.5 -34.9
 -4.8 -36.5
 -4.8 -36.3
 -4.7 -37.3
 -5.1 -38.0
 -4.8 -38.5
 -4.7 -36.8
 -4.9 -37.7
 -5.4 -39.0
 -5.3 -40.4
 -4.5 -38.9
 -5.6 -38.6
 -4.6 -40.3
 -3.9 -41.1
 -2.1 -40.0
 -1.1 -40.0
 -0.0 -38.1
  1.5 -39.1
  1.7 -38.2
  0.5 -39.1
  1.6 -40.9
  0.9 -41.7
  0.9 -42.1
  0.7 -43.0
  1.8 -43.2
  2.1 -42.1
  2.6 -42.2
  4.1 -42.1
  5.8 -41.2
  5.4 -43.2
  5.3 -42.6
  6.8 -42.0
  5.8 -42.2
  6.3 -44.8
  5.2 -46.2
  4.6 -47.0
  5.1 -48.0
  4.3 -48.3
  3.6 -49.3
  4.4 -49.4
  4.6 -50.8
  4.6 -51.4
  5.6 -52.8
  4.1 -53.7
  2.6 -55.4
  3.3 -54.9
  5.4 -54.5
  5.1 -54.0
  6.0 -53.1
  5.8 -52.7
  4.1 -52.8
  4.2 -50.0
  4.1 -49.2
  5.3 -50.5
  7.1 -49.2
  5.2 -49.5
  7.2 -49.1
  6.6 -49.7
  8.6 -49.2
  8.9 -49.9
  7.4 -50.1
  5.5 -51.1
  6.7 -50.7
  8.3 -49.2
  8.9 -49.1
  9.9 -49.5
  8.8 -48.9
  9.2 -49.4
 10.7 -49.5
  9.5 -50.5
  9.1 -50.8
  9.6 -50.9
  8.4 -50.2
  7.1 -50.1
  7.5 -51.1
  8.1 -50.5
  8.5 -49.7
  9.7 -50.6
  9.1 -51.1
  9.0 -51.0
  7.6 -50.7
  7.9 -49.8
  5.8 -49.9
  5.5 -50.1
  5.8 -51.2
  5.3 -51.5
  4.9 -50.7
  6.1 -50.7
  7.2 -49.5
  7.7 -48.4
  8.2 -50.8
  8.0 -50.0
 10.7 -49.9
 10.8 -49.3
 11.3 -48.0
 11.2 -46.7
 12.5 -47.2
 11.5 -47.5
 10.4 -47.7
 10.9 -47.8
 10.5 -47.0
 10.2 -48.2
 11.5 -47.6
 10.4 -46.4
 10.7 -45.8
 11.4 -44.8
 13.0 -46.9
 14.0 -47.3
 12.6 -48.6
 12.0 -48.5
 12.1 -50.4
 10.5 -50.1
 11.1 -48.7
 11.2 -48.5
 12.2 -47.2
 12.6 -47.2
 11.8 -47.9
 13.0 -46.9
 11.7 -46.3
 12.6 -47.0
 13.9 -46.8
 13.7 -47.0
 11.7 -46.8
 11.4 -48.0
 11.2 -48.4
 11.8 -48.7
 12.7 -49.2
 13.4 -48.5
 13.0 -48.2
 13.3 -49.0
 12.4 -48.0
 14.3 -47.6
 11.6 -48.9
 11.3 -49.4
  8.7 -51.4
  7.7 -52.2
  6.7 -53.1
  6.0 -53.1
  5.9 -53.5
  6.1 -52.9
  5.3 -52.3
  5.6 -52.7
  4.7 -52.8
  2.5 -51.6
  2.7 -49.3
  2.0 -49.3
  3.2 -48.6
  2.2 -49.4
  1.6 -50.6
  1.1 -51.3
  1.5 -51.9
  2.1 -52.4
  1.1 -51.9
  0.1 -52.2
 -0.3 -52.5
 -1.9 -52.9
 -1.9 -52.9
 -2.2 -52.1
 -2.6 -51.2
 -3.2 -49.6
 -2.0 -50.0
 -0.9 -48.4
 -1.1 -48.2
 -1.8 -49.7
 -1.6 -49.7
 -1.9 -48.9
 -3.7 -49.7
 -4.0 -49.0
 -7.0 -51.5
 -5.8 -50.0
 -6.4 -50.4
 -6.1 -48.9
 -5.0 -48.6
 -4.5 -49.7
 -4.5 -48.8
 -4.1 -49.1
 -3.4 -49.3
 -3.4 -49.0
 -3.1 -49.8
 -4.0 -47.6
 -4.0 -45.7
 -4.5 -47.0
 -3.6 -48.6
 -3.5 -48.7
 -2.8 -49.6
 -4.2 -51.7
 -4.9 -52.6
 -3.2 -53.7
 -4.4 -52.8
 -2.8 -52.5
 -1.8 -53.5
 -0.1 -55.1
  1.7 -55.2
  2.2 -54.8
  3.8 -54.1
  3.2 -54.9
  4.1 -54.7
  4.7 -54.0
  3.4 -52.4
  2.6 -50.0
  3.2 -50.4
  2.0 -52.7
  2.7 -53.8
  2.7 -52.4
  2.4 -51.8
  3.1 -52.2
  3.2 -51.6
  4.9 -51.6
  5.6 -51.9
  6.0 -51.8
  2.6 -52.0
  1.9 -50.6
  3.1 -50.4
  2.2 -49.7
  1.4 -49.3
  0.1 -50.2
 -0.4 -51.0
  0.3 -51.4
  1.1 -52.3
  1.1 -52.9
  0.5 -52.7
 -0.5 -51.7
 -1.9 -51.1
 -1.1 -51.6
 -2.1 -51.4
 -3.6 -49.6
 -5.5 -51.5
 -7.1 -51.5
 -6.2 -50.4
 -4.1 -50.0
 -5.1 -50.8
 -3.9 -51.5
 -3.2 -51.9
 -3.0 -53.8
 -1.3 -53.9
 -0.1 -54.3
  0.4 -53.3
  1.0 -52.7
  0.3 -53.9
  0.6 -54.0
  1.1 -54.1
  1.8 -53.5
  3.2 -53.3
  3.2 -51.9
  2.6 -52.0
  2.6 -52.8
  3.0 -53.1
  1.9 -52.1
  0.1 -52.0
 -0.5 -52.2
 -0.9 -53.3
  0.1 -53.8
  0.8 -55.6
  0.5 -55.5
  1.4 -54.9
  0.7 -55.7
  0.7 -56.0
 -0.1 -57.4
 -1.1 -55.8
  1.1 -55.9
  2.0 -54.2
  3.6 -54.4
  3.3 -54.2
  3.9 -54.9
  1.9 -55.3
  1.1 -54.6
  1.7 -54.8
  2.5 -54.5
  1.4 -53.3
  1.6 -52.0
  2.7 -52.1
  0.8 -52.5
 -0.7 -53.2
 -1.3 -53.5
  0.6 -52.4
  0.7 -53.7
  0.4 -53.0
 -0.4 -51.6
  0.8 -50.6
  0.3 -51.0
 -0.6 -52.0
  1.2 -54.5
  0.8 -53.3
  0.1 -51.2
 -1.4 -50.8
 -0.5 -49.9
 -1.2 -49.1
 -0.9 -47.7
  0.3 -49.7
  1.3 -51.2
 -0.4 -49.7
  0.2 -48.5
 -0.8 -47.2
 -1.9 -46.7
 -2.1 -47.8
 -1.9 -47.6
 -1.0 -47.4
  1.0 -48.7
  1.6 -49.4
  2.3 -49.4
  2.2 -50.3
  2.2 -50.8
  2.3 -51.3
  5.0 -50.6
  5.2 -51.9

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Discover > Sphere Engine API

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