#include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;
long long one_billionth(long long x) {
long long y = (x >> 32) * 2305843009LL;
y >>= 29;
x -= 1000000000LL * y;
x += (x >> 4);
return (y + (((x >> 29) + 1) >> 1));
}
long long crazy_degree_table[] = {
// angle x y angle (dms)
0, 1000000000, 0, // 0: 0: 0
3599269, 999847757, 17448863, // 0:59:59.269
7198351, 999391106, 34891507, // 1:59:58.351
10799869, 998629568, 52335322, // 2:59:59.869
14392361, 997566633, 69719529, // 3:59:52.361
18001484, 996194071, 87162910, // 5: 0: 1.484
21603140, 994520304, 104543603, // 6: 0: 3.14
25198449, 992547068, 121861880, // 6:59:58.449
28800050, 990268035, 139173341, // 8: 0: 0.05
32397717, 987690072, 156423533, // 8:59:57.717
35999728, 984807982, 173646879, // 9:59:59.728
39601035, 981626226, 190813921, // 11: 0:1.035
43199592, 978148012, 207909756, // 11:59:59.592
46800693, 974369309, 224954328, // 13: 0: 0.693
50397751, 970298364, 241911316, // 13:59:57.751
53997701, 965928711, 258808279, // 14:59:57.701
57600865, 961260540, 275641387, // 16: 0: 0.865
61199837, 956304987, 292370949, // 16:59:59.837
64799302, 951057562, 309013776, // 17:59:59.302
68401066, 945516893, 325573041, // 19: 0: 1.066
72001124, 939690757, 342025264, // 20: 0: 1.124
75601453, 933577902, 358374526, // 21: 0: 1.453
79199676, 927184443, 374605137, // 21:59:59.676
82800308, 920504270, 390732503, // 23: 0: 0.308
86400832, 913543817, 406740328, // 24: 0: 0.832
89998876, 906310090, 422613323, // 24:59:58.876
93600202, 898793617, 438372027, // 26: 0: 0.202
97197971, 891010990, 453981735, // 26:59:57.971
100801394, 882944420, 469477530, // 28: 0: 1.394
104401002, 874617352, 484813869, // 29: 0: 1.002
108000141, 866025062, 500000592, // 30: 0: 0.141
111598780, 857170347, 515033005, // 30:59:58.78
115200617, 848046511, 529921801, // 32: 0: 0.617
118802334, 838664405, 544648525, // 33: 0: 2.334
122398991, 829040308, 559188848, // 33:59:58.991
125998685, 819155701, 573571214, // 34:59:58.685
129599798, 809017570, 587784460, // 35:59:59.798
133200048, 798635370, 601815209, // 37: 0: 0.048
136800553, 788009103, 615663588, // 38: 0: 0.553
140401537, 777141272, 629326182, // 39: 0: 1.537
143999915, 766044708, 642787294, // 39:59:59.915
147600516, 754707939, 656060917, // 41: 0: 0.516
151199457, 743146587, 669128650, // 41:59:59.457
154799036, 731356889, 681994942, // 42:59:59.036
158401431, 719334981, 694663361, // 44: 0: 1.431
161995261, 707123027, 707090535 // 44:59:55.261
};
long long crazy_minute_table [] = {
// angle x y angle (dms)
0, 1000000000, 0, // 0: 0: 0
59784, 999999958, 289841, // 0: 0:59.784
119917, 999999831, 581374, // 0: 1:59.917
180056, 999999619, 872936, // 0: 3: 0.056
240017, 999999323, 1163635, // 0: 4: 0.017
300043, 999998942, 1454649, // 0: 5: 0.043
360108, 999998476, 1745852, // 0: 6: 0.108
421304, 999997914, 2042538, // 0: 7: 1.304
479938, 999997293, 2326803, // 0: 7:59.938
539611, 999996578, 2616105, // 0: 8:59.611
600013, 999995769, 2908941, // 0:10: 0.013
659920, 999994882, 3199377, // 0:10:59.92
720569, 999993898, 3493410, // 0:12: 0.569
779998, 999992850, 3781528, // 0:12:59.998
839932, 999991709, 4072094, // 0:13:59.932
900081, 999990479, 4363702, // 0:15: 0.081
959964, 999989170, 4654020, // 0:15:59.964
1020042, 999987772, 4945283, // 0:17: 0.042
1078867, 999986321, 5230471, // 0:17:58.867
1139920, 999984729, 5526460, // 0:18:59.92
1200101, 999983074, 5818221, // 0:20: 0.101
1260042, 999981341, 6108818, // 0:21: 0.042
1320065, 999979521, 6399812, // 0:22: 0.065
1380098, 999977616, 6690854, // 0:23: 0.098
1439844, 999975636, 6980504, // 0:23:59.844
1499876, 999973562, 7271540, // 0:24:59.876
1560081, 999971397, 7563414, // 0:26: 0.081
1619177, 999969189, 7849911, // 0:26:59.177
1679867, 999966836, 8144135, // 0:27:59.867
1740079, 999964416, 8436041, // 0:29: 0.079
1799931, 999961926, 8726201, // 0:29:59.931
1859870, 999959348, 9016782 // 0:30:59.87
};
const long ONE_CRAZY_SECOND = 1000L;
const long ONE_CRAZY_MINUTE = 60L * ONE_CRAZY_SECOND;
const long ONE_CRAZY_DEGREE = 60L * ONE_CRAZY_MINUTE;
const long ONE_CRAZY_OCTANT = 45L * ONE_CRAZY_DEGREE;
const long ONE_CRAZY_TURN = 8L * ONE_CRAZY_OCTANT;
//
// note that 2 * ONE_CRAZY_TURN WILL NOT FIT in a long!!
long crazy_sin (long theta) {
// normalize theta (range: -180 to +180 degrees)
while (theta < (-4 * ONE_CRAZY_OCTANT)) theta += ONE_CRAZY_TURN;
while (theta > (4 * ONE_CRAZY_OCTANT)) theta -= ONE_CRAZY_TURN;
// use an identity to reduce range to: -90 to +90 degrees
if (theta < (-2 * ONE_CRAZY_OCTANT)) {
theta = (-4 * ONE_CRAZY_OCTANT) - theta;
}
if (theta > (2 * ONE_CRAZY_OCTANT)) {
theta = (4 * ONE_CRAZY_OCTANT) - theta;
}
// where do we look in the table?
// this is complicated because C++ modulo function is nuts
int where = theta / ONE_CRAZY_DEGREE;
if ((theta-(where*ONE_CRAZY_DEGREE))>(30*ONE_CRAZY_MINUTE)) where++;
else if ((theta-(where*ONE_CRAZY_DEGREE))<(-30*ONE_CRAZY_MINUTE)) where--;
// now do the table lookup
long long x; long long y;
if (where > 90) return -1111111111L;
else if (where > 45) {
where = 90 - where;
theta -= ((90 * ONE_CRAZY_DEGREE) - crazy_degree_table[where*3]);
y = crazy_degree_table[(where*3)+1];
x = crazy_degree_table[(where*3)+2];
}
else if (where >= 0) {
theta -= crazy_degree_table[where*3];
x = crazy_degree_table[(where*3)+1];
y = crazy_degree_table[(where*3)+2];
}
else if (where >= -45) {
where = -where;
theta += crazy_degree_table[where*3];
x = crazy_degree_table[(where*3)+1];
y = -crazy_degree_table[(where*3)+2];
}
else if (where >= -90) {
where += 90;
theta += ((90 * ONE_CRAZY_DEGREE) - crazy_degree_table[where*3]);
y = -crazy_degree_table[(where*3)+1];
x = crazy_degree_table[(where*3)+2];
}
else return -1111111111L;
// lather, rinse, repeat
where = theta / ONE_CRAZY_MINUTE;
if ((theta-(where*ONE_CRAZY_MINUTE))>(30*ONE_CRAZY_SECOND)) where++;
else if ((theta-(where*ONE_CRAZY_MINUTE))<(-30*ONE_CRAZY_SECOND)) where--;
// okay, now it gets complicated
// let's try to squeeze in a few "guard bits"
x <<= 2;
y <<= 2;
// and we need some new temporary storage
long long x_2;
long long y_2;
long long t;
// so let's take care of the minutes ...
if (where > 31) return -1111111111L;
else if (where >= 0) {
theta -= crazy_minute_table[where*3];
x_2 = crazy_minute_table[(where*3)+1];
y_2 = crazy_minute_table[(where*3)+2];
}
else if (where >= -31) {
where = -where;
theta += crazy_minute_table[where*3];
x_2 = crazy_minute_table[(where*3)+1];
y_2 = -crazy_minute_table[(where*3)+2];
}
else return -1111111111L;
// I told you it would be complicated ...
t = one_billionth((x * x_2) - (y * y_2));
y = one_billionth((x * y_2) + (y * x_2));
x = t;
// next we take care of, that's right, the seconds
// our angle unit is 1/1000 arcsecond,
// which is 4.848136811e-9 of a radian
t = (((635455LL * theta) >> 15)+1)>>1;
x_2 = 2000000000LL - one_billionth((t * t) >> 2); // bug squashed
y_2 = t;
// wiggle it... just a little bit...
// t = one_billionth((x * x_2) - (y * y_2));
y = one_billionth((x * y_2) + (y * x_2));
// x = t;
// x += 4;
y += 4;
// x >>= 3;
y >>= 3;
return y;
}
int main() {
long one_deg = 3600000L;
long one_step = one_deg/200;
double maxerr = 0.0;
for (long i = -360*one_deg; i <= 360*one_deg; i += one_step) {
double th = (i*1.0) / one_deg;
double cs = (crazy_sin(i)*1.0e-9);
double rs = sin(th * 0.0174532925199433);
double err = abs(cs-rs);
if (err > maxerr) maxerr = err;
// cout << th << " " ;
// cout << setprecision(9) << cs << " " << rs << " ";
// cout << err << "\n";
}
cout << maxerr << "\n";
// your code goes here
return 0;
}
#include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;

long long one_billionth(long long x) {
	long long y = (x >> 32) * 2305843009LL;
	y >>= 29;
	x -= 1000000000LL * y;
	x += (x >> 4);
	return (y + (((x >> 29) + 1) >> 1));
}

long long crazy_degree_table[] = {
  //  angle        x         y         angle (dms)
          0, 1000000000,        0, //  0: 0: 0
    3599269, 999847757,  17448863, //  0:59:59.269
    7198351, 999391106,  34891507, //  1:59:58.351
   10799869, 998629568,  52335322, //  2:59:59.869
   14392361, 997566633,  69719529, //  3:59:52.361
   18001484, 996194071,  87162910, //  5: 0: 1.484
   21603140, 994520304, 104543603, //  6: 0: 3.14
   25198449, 992547068, 121861880, //  6:59:58.449
   28800050, 990268035, 139173341, //  8: 0: 0.05
   32397717, 987690072, 156423533, //  8:59:57.717
   35999728, 984807982, 173646879, //  9:59:59.728
   39601035, 981626226, 190813921, // 11: 0:1.035
   43199592, 978148012, 207909756, // 11:59:59.592
   46800693, 974369309, 224954328, // 13: 0: 0.693
   50397751, 970298364, 241911316, // 13:59:57.751
   53997701, 965928711, 258808279, // 14:59:57.701
   57600865, 961260540, 275641387, // 16: 0: 0.865
   61199837, 956304987, 292370949, // 16:59:59.837
   64799302, 951057562, 309013776, // 17:59:59.302
   68401066, 945516893, 325573041, // 19: 0: 1.066
   72001124, 939690757, 342025264, // 20: 0: 1.124
   75601453, 933577902, 358374526, // 21: 0: 1.453
   79199676, 927184443, 374605137, // 21:59:59.676
   82800308, 920504270, 390732503, // 23: 0: 0.308
   86400832, 913543817, 406740328, // 24: 0: 0.832
   89998876, 906310090, 422613323, // 24:59:58.876
   93600202, 898793617, 438372027, // 26: 0: 0.202
   97197971, 891010990, 453981735, // 26:59:57.971
  100801394, 882944420, 469477530, // 28: 0: 1.394
  104401002, 874617352, 484813869, // 29: 0: 1.002
  108000141, 866025062, 500000592, // 30: 0: 0.141
  111598780, 857170347, 515033005, // 30:59:58.78
  115200617, 848046511, 529921801, // 32: 0: 0.617
  118802334, 838664405, 544648525, // 33: 0: 2.334
  122398991, 829040308, 559188848, // 33:59:58.991
  125998685, 819155701, 573571214, // 34:59:58.685
  129599798, 809017570, 587784460, // 35:59:59.798
  133200048, 798635370, 601815209, // 37: 0: 0.048
  136800553, 788009103, 615663588, // 38: 0: 0.553
  140401537, 777141272, 629326182, // 39: 0: 1.537
  143999915, 766044708, 642787294, // 39:59:59.915
  147600516, 754707939, 656060917, // 41: 0: 0.516
  151199457, 743146587, 669128650, // 41:59:59.457
  154799036, 731356889, 681994942, // 42:59:59.036
  158401431, 719334981, 694663361, // 44: 0: 1.431
  161995261, 707123027, 707090535  // 44:59:55.261
};

long long crazy_minute_table [] = {
  // angle        x         y     angle (dms)
        0, 1000000000,      0, // 0: 0: 0
    59784, 999999958,  289841, // 0: 0:59.784
   119917, 999999831,  581374, // 0: 1:59.917
   180056, 999999619,  872936, // 0: 3: 0.056
   240017, 999999323, 1163635, // 0: 4: 0.017
   300043, 999998942, 1454649, // 0: 5: 0.043
   360108, 999998476, 1745852, // 0: 6: 0.108
   421304, 999997914, 2042538, // 0: 7: 1.304
   479938, 999997293, 2326803, // 0: 7:59.938
   539611, 999996578, 2616105, // 0: 8:59.611
   600013, 999995769, 2908941, // 0:10: 0.013
   659920, 999994882, 3199377, // 0:10:59.92
   720569, 999993898, 3493410, // 0:12: 0.569
   779998, 999992850, 3781528, // 0:12:59.998
   839932, 999991709, 4072094, // 0:13:59.932
   900081, 999990479, 4363702, // 0:15: 0.081
   959964, 999989170, 4654020, // 0:15:59.964
  1020042, 999987772, 4945283, // 0:17: 0.042
  1078867, 999986321, 5230471, // 0:17:58.867
  1139920, 999984729, 5526460, // 0:18:59.92
  1200101, 999983074, 5818221, // 0:20: 0.101
  1260042, 999981341, 6108818, // 0:21: 0.042
  1320065, 999979521, 6399812, // 0:22: 0.065
  1380098, 999977616, 6690854, // 0:23: 0.098
  1439844, 999975636, 6980504, // 0:23:59.844
  1499876, 999973562, 7271540, // 0:24:59.876
  1560081, 999971397, 7563414, // 0:26: 0.081
  1619177, 999969189, 7849911, // 0:26:59.177
  1679867, 999966836, 8144135, // 0:27:59.867
  1740079, 999964416, 8436041, // 0:29: 0.079
  1799931, 999961926, 8726201, // 0:29:59.931
  1859870, 999959348, 9016782  // 0:30:59.87 
};

const long ONE_CRAZY_SECOND = 1000L;
const long ONE_CRAZY_MINUTE = 60L * ONE_CRAZY_SECOND;
const long ONE_CRAZY_DEGREE = 60L * ONE_CRAZY_MINUTE;
const long ONE_CRAZY_OCTANT = 45L * ONE_CRAZY_DEGREE;
const long ONE_CRAZY_TURN   =  8L * ONE_CRAZY_OCTANT;
//
// note that 2 * ONE_CRAZY_TURN WILL NOT FIT in a long!!

long crazy_sin (long theta) {
  // normalize theta (range: -180  to +180 degrees)
  while (theta < (-4 * ONE_CRAZY_OCTANT)) theta += ONE_CRAZY_TURN;
  while (theta > (4 * ONE_CRAZY_OCTANT)) theta -= ONE_CRAZY_TURN;
  // use an identity to reduce range to: -90 to +90 degrees
  if (theta < (-2 * ONE_CRAZY_OCTANT)) {
    theta = (-4 * ONE_CRAZY_OCTANT) - theta;
  }
  if (theta > (2 * ONE_CRAZY_OCTANT)) {
    theta = (4 * ONE_CRAZY_OCTANT) - theta;
  }
  // where do we look in the table?
  // this is complicated because C++ modulo function is nuts
  int where = theta / ONE_CRAZY_DEGREE;
  if ((theta-(where*ONE_CRAZY_DEGREE))>(30*ONE_CRAZY_MINUTE)) where++;
  else if ((theta-(where*ONE_CRAZY_DEGREE))<(-30*ONE_CRAZY_MINUTE)) where--;
  // now do the table lookup
  long long x; long long y;
  if (where > 90) return -1111111111L;
  else if (where > 45) {
    where = 90 - where;
    theta -= ((90 * ONE_CRAZY_DEGREE) - crazy_degree_table[where*3]);
    y = crazy_degree_table[(where*3)+1];
    x = crazy_degree_table[(where*3)+2];
  } 
  else if (where >= 0) {
    theta -= crazy_degree_table[where*3];
    x = crazy_degree_table[(where*3)+1];
    y = crazy_degree_table[(where*3)+2]; 
  }
  else if (where >= -45) {
    where = -where;
    theta += crazy_degree_table[where*3];
    x = crazy_degree_table[(where*3)+1];
    y = -crazy_degree_table[(where*3)+2];     
  }
  else if (where >= -90) {
    where += 90;
    theta += ((90 * ONE_CRAZY_DEGREE) - crazy_degree_table[where*3]);
    y = -crazy_degree_table[(where*3)+1];
    x = crazy_degree_table[(where*3)+2]; 
  }
  else return -1111111111L;
  // lather, rinse, repeat
  where = theta / ONE_CRAZY_MINUTE;
  if ((theta-(where*ONE_CRAZY_MINUTE))>(30*ONE_CRAZY_SECOND)) where++;
  else if ((theta-(where*ONE_CRAZY_MINUTE))<(-30*ONE_CRAZY_SECOND)) where--;
  // okay, now it gets complicated
  // let's try to squeeze in a few "guard bits"
  x <<= 2;
  y <<= 2;
  // and we need some new temporary storage
  long long x_2;
  long long y_2;
  long long t; 
  // so let's take care of the minutes ...
  if (where > 31) return -1111111111L;
  else if (where >= 0) {
    theta -= crazy_minute_table[where*3];
    x_2 = crazy_minute_table[(where*3)+1];
    y_2 = crazy_minute_table[(where*3)+2]; 
  }
  else if (where >= -31) {
    where = -where;
    theta += crazy_minute_table[where*3];
    x_2 = crazy_minute_table[(where*3)+1];
    y_2 = -crazy_minute_table[(where*3)+2];     
  }
  else return -1111111111L;
  // I told you it would be complicated ...
  t = one_billionth((x * x_2) - (y * y_2));
  y = one_billionth((x * y_2) + (y * x_2));
  x = t;
  // next we take care of, that's right, the seconds
  // our angle unit is 1/1000 arcsecond,
  // which is 4.848136811e-9 of a radian
  t = (((635455LL * theta) >> 15)+1)>>1;
  x_2 = 2000000000LL - one_billionth((t * t) >> 2); // bug squashed
  y_2 = t;
  // wiggle it... just a little bit...
  // t = one_billionth((x * x_2) - (y * y_2));
  y = one_billionth((x * y_2) + (y * x_2));
  // x = t;
  // x += 4;
  y += 4;
  // x >>= 3;
  y >>= 3;
  return y; 
}

int main() {
	long one_deg = 3600000L;
	long one_step = one_deg/200;
	double maxerr = 0.0;
	for (long i = -360*one_deg; i <= 360*one_deg; i += one_step) {
	    double th = (i*1.0) / one_deg; 
	    double cs = (crazy_sin(i)*1.0e-9);
	    double rs = sin(th * 0.0174532925199433);
	    double err = abs(cs-rs);
	    if (err > maxerr) maxerr = err;
	    // cout << th << "  " ;
	    // cout << setprecision(9) << cs << "  " << rs << "  ";
	    // cout << err << "\n";
	}
	cout << maxerr << "\n";
	// your code goes here
	return 0;
}