/***********************************************************************************************************/

 const int cos_theta[1000]={ 
32765, 32757, 32744, 32726, 32703, 32674, 32641, 32602, 32558, 32509, 

32455, 32396, 32331, 32262, 32187, 32107, 32023, 31933, 31838, 31738, 

31633, 31523, 31408, 31289, 31164, 31034, 30899, 30760, 30616, 30466, 

30312, 30154, 29990, 29822, 29649, 29471, 29289, 29102, 28910, 28714, 

28514, 28309, 28099, 27885, 27666, 27444, 27216, 26985, 26749, 26509, 

26265, 26017, 25765, 25508, 25248, 24983, 24715, 24442, 24166, 23886, 

23603, 23315, 23024, 22729, 22431, 22129, 21823, 21515, 21202, 20887, 

20568, 20246, 19920, 19592, 19260, 18925, 18588, 18247, 17904, 17557, 

17208, 16857, 16502, 16145, 15786, 15424, 15059, 14692, 14323, 13951, 

13578, 13202, 12824, 12444, 12062, 11678, 11293, 10905, 10516, 10125, 

9733, 9339, 8944, 8547, 8149, 7749, 7348, 6947, 6544, 6140, 

5735, 5329, 4922, 4515, 4106, 3698, 3288, 2878, 2468, 2057, 

1646, 1235, 823, 411, 0, -411, -823, -1235, -1646, -2057, 

-2468, -2878, -3288, -3698, -4106, -4515, -4922, -5329, -5735, -6140, 

-6544, -6947, -7348, -7749, -8149, -8547, -8944, -9339, -9733, -10125, 

-10516, -10905, -11293, -11678, -12062, -12444, -12824, -13202, -13578, -13951, 

-14323, -14692, -15059, -15424, -15786, -16145, -16502, -16857, -17208, -17557, 

-17904, -18247, -18588, -18925, -19260, -19592, -19920, -20246, -20568, -20887, 

-21202, -21515, -21823, -22129, -22431, -22729, -23024, -23315, -23603, -23886, 

-24166, -24442, -24715, -24983, -25248, -25508, -25765, -26017, -26265, -26509, 

-26749, -26985, -27216, -27444, -27666, -27885, -28099, -28309, -28514, -28714, 

-28910, -29102, -29289, -29471, -29649, -29822, -29990, -30154, -30312, -30466, 

-30616, -30760, -30899, -31034, -31164, -31289, -31408, -31523, -31633, -31738, 

-31838, -31933, -32023, -32107, -32187, -32262, -32331, -32396, -32455, -32509, 

-32558, -32602, -32641, -32674, -32703, -32726, -32744, -32757, -32765, -32767, 

-32765, -32757, -32744, -32726, -32703, -32674, -32641, -32602, -32558, -32509, 

-32455, -32396, -32331, -32262, -32187, -32107, -32023, -31933, -31838, -31738, 

-31633, -31523, -31408, -31289, -31164, -31034, -30899, -30760, -30616, -30466, 

-30312, -30154, -29990, -29822, -29649, -29471, -29289, -29102, -28910, -28714, 

-28514, -28309, -28099, -27885, -27666, -27444, -27216, -26985, -26749, -26509, 

-26265, -26017, -25765, -25508, -25248, -24983, -24715, -24443, -24166, -23886, 

-23603, -23315, -23024, -22729, -22431, -22129, -21823, -21515, -21202, -20887, 

-20568, -20246, -19920, -19592, -19260, -18925, -18588, -18247, -17904, -17557, 

-17208, -16857, -16502, -16145, -15786, -15424, -15059, -14692, -14323, -13951, 

-13578, -13202, -12824, -12444, -12062, -11678, -11293, -10905, -10516, -10125, 

-9733, -9339, -8944, -8547, -8149, -7749, -7348, -6947, -6544, -6140, 

-5735, -5329, -4922, -4515, -4106, -3698, -3288, -2878, -2468, -2057, 

-1646, -1235, -823, -411, 0, 411, 823, 1235, 1646, 2057, 

2468, 2878, 3288, 3698, 4106, 4515, 4922, 5329, 5735, 6140, 

6544, 6947, 7348, 7749, 8149, 8547, 8944, 9339, 9733, 10125, 

10516, 10905, 11293, 11678, 12062, 12444, 12824, 13202, 13578, 13951, 

14323, 14692, 15059, 15424, 15786, 16145, 16502, 16857, 17208, 17557, 

17904, 18247, 18588, 18925, 19260, 19592, 19920, 20246, 20568, 20887, 

21202, 21514, 21823, 22129, 22431, 22729, 23024, 23315, 23603, 23886, 

24166, 24442, 24715, 24983, 25248, 25508, 25765, 26017, 26265, 26509, 

26749, 26985, 27216, 27444, 27666, 27885, 28099, 28309, 28514, 28714, 

28910, 29102, 29289, 29471, 29649, 29822, 29990, 30154, 30312, 30466, 

30616, 30760, 30899, 31034, 31164, 31289, 31408, 31523, 31633, 31738, 

31838, 31933, 32023, 32107, 32187, 32262, 32331, 32396, 32455, 32509, 

32558, 32602, 32641, 32674, 32703, 32726, 32744, 32757, 32765, 32767, 

32765, 32757, 32744, 32726, 32703, 32674, 32641, 32602, 32558, 32509, 

32455, 32396, 32331, 32262, 32187, 32107, 32023, 31933, 31838, 31738, 

31633, 31523, 31408, 31289, 31164, 31034, 30899, 30760, 30616, 30466, 

30312, 30154, 29990, 29822, 29649, 29471, 29289, 29102, 28910, 28714, 

28514, 28309, 28099, 27885, 27666, 27444, 27216, 26985, 26749, 26509, 

26265, 26017, 25765, 25508, 25248, 24983, 24715, 24443, 24166, 23886, 

23603, 23315, 23024, 22729, 22431, 22129, 21823, 21515, 21202, 20887, 

20568, 20246, 19920, 19592, 19260, 18925, 18588, 18247, 17904, 17557, 

17208, 16857, 16502, 16145, 15786, 15424, 15059, 14692, 14323, 13951, 

13578, 13202, 12824, 12444, 12062, 11678, 11293, 10905, 10516, 10125, 

9733, 9339, 8944, 8547, 8149, 7749, 7348, 6947, 6544, 6140, 

5735, 5329, 4922, 4515, 4106, 3698, 3288, 2878, 2468, 2057, 

1646, 1235, 823, 411, 0, -411, -823, -1235, -1646, -2057, 

-2468, -2878, -3288, -3698, -4106, -4515, -4922, -5329, -5735, -6140, 

-6544, -6947, -7348, -7749, -8149, -8547, -8944, -9339, -9733, -10125, 

-10516, -10905, -11293, -11678, -12062, -12444, -12824, -13202, -13578, -13951, 

-14323, -14692, -15059, -15424, -15786, -16145, -16502, -16857, -17208, -17557, 

-17904, -18247, -18588, -18925, -19260, -19592, -19920, -20246, -20568, -20887, 

-21202, -21514, -21823, -22129, -22431, -22729, -23024, -23315, -23603, -23886, 

-24166, -24442, -24715, -24983, -25248, -25508, -25765, -26017, -26265, -26509, 

-26749, -26985, -27216, -27444, -27666, -27885, -28099, -28309, -28514, -28714, 

-28910, -29102, -29289, -29471, -29649, -29822, -29990, -30154, -30312, -30466, 

-30616, -30760, -30899, -31034, -31164, -31288, -31408, -31523, -31633, -31738, 

-31838, -31933, -32023, -32107, -32187, -32262, -32331, -32396, -32455, -32509, 

-32558, -32602, -32641, -32674, -32703, -32726, -32744, -32757, -32765, -32767, 

-32765, -32757, -32744, -32726, -32703, -32674, -32641, -32602, -32558, -32509, 

-32455, -32396, -32331, -32262, -32187, -32107, -32023, -31933, -31838, -31738, 

-31633, -31523, -31408, -31289, -31164, -31034, -30899, -30760, -30616, -30466, 

-30312, -30154, -29990, -29822, -29649, -29471, -29289, -29102, -28910, -28714, 

-28514, -28309, -28099, -27885, -27666, -27444, -27216, -26985, -26749, -26509, 

-26265, -26017, -25765, -25508, -25248, -24983, -24715, -24443, -24166, -23886, 

-23603, -23315, -23024, -22729, -22431, -22129, -21823, -21515, -21202, -20887, 

-20568, -20246, -19920, -19592, -19260, -18925, -18588, -18247, -17904, -17557, 

-17208, -16857, -16502, -16145, -15786, -15424, -15059, -14692, -14323, -13951, 

-13578, -13202, -12824, -12444, -12062, -11678, -11293, -10905, -10516, -10125, 

-9733, -9339, -8944, -8547, -8149, -7749, -7348, -6947, -6544, -6140, 

-5735, -5329, -4922, -4515, -4106, -3698, -3288, -2878, -2468, -2057, 

-1646, -1235, -823, -411, 0, 411, 823, 1235, 1646, 2057, 

2468, 2878, 3288, 3698, 4106, 4515, 4922, 5329, 5735, 6140, 

6544, 6947, 7348, 7749, 8149, 8547, 8944, 9339, 9733, 10125, 

10516, 10905, 11293, 11678, 12062, 12444, 12824, 13202, 13578, 13951, 

14323, 14692, 15059, 15424, 15786, 16145, 16502, 16857, 17208, 17557, 

17904, 18247, 18588, 18925, 19260, 19592, 19920, 20246, 20568, 20887, 

21202, 21514, 21823, 22129, 22431, 22729, 23024, 23315, 23603, 23886, 

24166, 24442, 24715, 24983, 25248, 25508, 25765, 26017, 26265, 26509, 

26749, 26985, 27216, 27444, 27666, 27885, 28099, 28309, 28514, 28714, 

28910, 29102, 29289, 29471, 29649, 29822, 29990, 30154, 30312, 30466, 

30616, 30760, 30899, 31034, 31164, 31288, 31408, 31523, 31633, 31738, 

31838, 31933, 32023, 32107, 32187, 32262, 32331, 32396, 32455, 32509, 

32558, 32602, 32641, 32674, 32703, 32726, 32744, 32757, 32765, 32767
};