
 % Directional Spectrum 
% 360 Directions and 512 Frequencies
% Units are mm/sqrt(Hz) per degree
% Frequency Bands are 0.00195313 Hz
% The first direction slice begins at 170 degrees
 20584 20086 19554 18992 18408 17808 17196 16579 15960 15344 14735 14135 13548 12976 12420 11881 11361 10861 10381 9920 9480 9059 8658 8276 7913 7568 7240 6929 6634 6355 6091 5841 5604 5380 5168 4967 4778 4599 4430 4270 4118 3975 3840 3713 3592 3478 3371 3269 3173 3082 2997 2916 2839 2767 2699 2635 2575 2518 2465 2415 2368 2323 2282 2243 2207 2173 2142 2113 2086 2061 2038 2018 1999 1982 1967 1954 1943 1933 1925 1919 1914 1912 1911 1911 1913 1917 1923 1930 1939 1950 1963 1977 1993 2011 2031 2053 2078 2104 2132 2163 2196 2231 2269 2310 2353 2399 2449 2501 2557 2616 2679 2745 2816 2891 2970 3054 3143 3238 3337 3443 3555 3673 3799 3931 4072 4220 4377 4544 4720 4906 5103 5311 5531 5764 6010 6269 6544 6833 7139 7461 7801 8158 8534 8929 9343 9778 10232 10706 11200 11714 12246 12797 13365 13947 14543 15150 15764 16382 17001 17615 18220 18810 19379 19922 20432 20902 21326 21698 22014 22267 22454 22572 22620 22595 22499 22333 22101 21804 21449 21041 20585 20087 19554 18993 18408 17807 17196 16578 15959 15343 14734 14134 13547 12974 12418 11880 11360 10860 10379 9919 9478 9058 8657 8275 7911 7566 7239 6928 6633 6354 6090 5839 5602 5378 5167 4966 4777 4598 4428 4268 4117 3974 3839 3712 3591 3477 3370 3268 3172 3081 2996 2915 2839 2767 2699 2635 2574 2518 2464 2414 2367 2323 2281 2242 2206 2172 2141 2112 2085 2060 2038 2017 1998 1981 1966 1953 1942 1932 1924 1918 1914 1911 1910 1911 1913 1917 1922 1930 1939 1949 1962 1976 1993 2011 2031 2053 2077 2103 2131 2162 2195 2230 2268 2309 2352 2398 2448 2500 2556 2615 2678 2744 2815 2890 2969 3053 3142 3237 3336 3442 3554 3672 3797 3930 4070 4219 4376 4542 4718 4904 5101 5309 5529 5762 6007 6267 6542 6831 7137 7459 7798 8155 8531 8926 9340 9774 10228 10702 11196 11710 12242 12793 13360 13943 14538 15145 15759 16377 16996 17610 18215 18805 19374 19917 20426 20896 21321 21693 22009 22262 22450 22569 22616 22592 22496 22331 22098 21803 21448 21040
 19 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 19 19 19 19 19 19 19 19 19 19 19 19 19 20 20 20 20 20 20 20 20 21 21 21 21 21 21 22 22 22 22 22 22 23 23 23 23 23 24 24 24 24 24 25 25 25 25 26 26 26 26 26 27 27 27 27 27 28 28 28 28 28 28 29 29 29 29 29 29 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 29 29 29 29 29 29 29 28 28 28 28 28 28 27 27 27 27 27 26 26 26 26 26 26 25 25 25 25 25 25 24 24 24 24 24 24 23 23 23 23 23 23 22 22 22 22 22 22 22 22 22 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 20 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 23 24 24 24 24 24 24 24 25 25 25 25 25 25 26 26 26 26 26 26 26 27 27 27 27 27 27 27 28 28 28 28 28 28 28 28 28 28 28 28 28 29 29 29 29 29 29 29 29 29 28 28 28 28 28 28 28 28 28 28 28 28 28 27 27 27 27 27 27 27 26 26 26 26 26 26 25 25 25 25 25 24 24 24 24 24 24 23 23 23 23 23 22 22 22 22 22 22 21 21 21 21 21 21 21 20 20 20 20 20 20 20 20 19 19 19 19 19 19 19 19 19 19 19 19
 16 16 15 15 15 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 15 15 15 16 16 16 17 17 18 18 18 19 19 20 20 21 21 22 23 23 24 24 25 26 27 27 28 29 30 30 31 32 33 34 35 35 36 37 38 39 40 41 42 42 43 44 45 46 46 47 47 48 49 49 49 50 50 50 50 50 50 50 50 50 49 49 49 48 48 47 46 46 45 44 44 43 42 41 40 39 38 38 37 36 35 34 33 32 32 31 30 29 28 28 27 26 25 25 24 24 23 22 22 21 21 20 20 19 19 18 18 17 17 17 16 16 16 15 15 15 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 15 15 15 15 16 16 16 17 17 17 18 18 19 19 19 20 20 21 21 22 22 23 23 24 24 25 26 26 27 27 28 29 29 30 30 31 32 32 33 33 34 34 35 35 36 36 36 37 37 37 38 38 38 38 38 38 38 38 38 38 37 37 37 37 36 36 35 35 35 34 34 33 32 32 31 31 30 30 29 28 28 27 27 26 25 25 24 24 23 23 22 22 21 21 20 20 19 19 18 18 18 17 17 16 16
 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 28 28 28 28 28 28 28 28 29 29 29 29 29 29 30 30 30 30 30 30 31 31 31 31 31 32 32 32 32 32 33 33 33 33 33 33 34 34 34 34 34 35 35 35 35 35 35 36 36 36 36 36 36 36 36 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 36 36 36 36 36 36 36 36 36 35 35 35 35 35 35 34 34 34 34 34 34 34 33 33 33 33 33 33 32 32 32 32 32 32 32 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 32 32 32 32 32 33 33 33 33 33 34 34 34 34 35 35 35 35 36 36 36 37 37 37 38 38 38 39 39 39 40 40 40 41 41 41 42 42 42 43 43 43 44 44 44 45 45 45 45 46 46 46 47 47 47 47 48 48 48 48 48 48 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 48 48 48 48 48 47 47 47 47 46 46 46 46 45 45 45 44 44 44 43 43 43 42 42 41 41 41 40 40 40 39 39 38 38 38 37 37 37 36 36 36 35 35 35 34 34 34 33 33 33 32 32 32 32 31 31 31 31 30 30 30 30 29 29 29 29 29 29 28 28 28 28 28 28 28 27 27 27 27 27 27 27 27 27 27 27 27 27 27
 17 18 19 19 20 21 22 23 24 25 26 27 29 30 31 33 35 36 38 40 42 44 46 48 51 53 56 59 61 64 67 71 74 77 80 84 87 90 93 96 99 102 105 107 110 111 113 114 115 115 115 115 114 113 111 109 107 105 102 99 96 93 89 86 83 79 76 73 70 67 63 61 58 55 52 50 47 45 43 41 39 37 35 33 32 30 29 28 26 25 24 23 22 21 20 19 18 18 17 16 16 15 14 14 13 13 12 12 12 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 12 12 12 13 13 14 14 15 15 16 17 17 18 19 19 20 21 22 23 24 25 26 27 28 29 31 32 33 35 36 38 39 41 42 44 46 48 49 51 53 55 56 58 60 61 63 64 66 67 68 69 70 71 71 71 72 72 71 71 70 70 69 68 67 65 64 63 61 59 58 56 54 53 51 49 48 46 44 43 41 39 38 36 35 34 32 31 30 29 27 26 25 24 23 23 22 21 20 19 19 18 17 17 16 16 15 15 14 14 13 13 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 13 13 13 14 14 15 15 16 17
 19 19 19 19 19 19 20 20 20 20 21 21 21 22 22 22 23 23 23 24 24 25 25 26 26 27 27 28 29 29 30 31 31 32 33 34 35 35 36 37 38 39 40 41 42 44 45 46 47 48 49 51 52 53 55 56 57 59 60 61 63 64 65 67 68 69 70 72 73 74 75 75 76 77 78 78 79 79 79 79 79 79 79 79 78 78 77 76 76 75 74 73 72 71 69 68 67 65 64 63 61 60 59 57 56 54 53 52 50 49 48 46 45 44 43 41 40 39 38 37 36 35 34 33 32 32 31 30 29 28 28 27 26 26 25 24 24 23 23 22 22 21 21 20 20 20 19 19 19 18 18 18 17 17 17 17 16 16 16 16 16 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 16 16 16 16 16 16 17 17 17 17 18 18 18 18 19 19 19 20 20 20 21 21 21 22 22 22 23 23 24 24 25 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 32 33 33 34 34 34 35 35 36 36 36 36 37 37 37 37 37 37 38 38 38 38 38 38 37 37 37 37 37 37 36 36 36 36 35 35 35 34 34 33 33 33 32 32 31 31 31 30 30 29 29 28 28 28 27 27 26 26 26 25 25 25 24 24 23 23 23 23 22 22 22 21 21 21 21 20 20 20 20 19 19 19 19 19 19 19 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18
 23 23 24 24 24 24 24 25 25 25 25 25 26 26 26 26 27 27 27 27 28 28 28 29 29 29 30 30 30 30 31 31 31 32 32 32 33 33 33 34 34 34 34 35 35 35 36 36 36 36 37 37 37 37 37 37 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 37 37 37 37 37 36 36 36 36 35 35 35 35 34 34 34 33 33 33 32 32 32 31 31 31 31 30 30 30 29 29 29 28 28 28 27 27 27 27 26 26 26 26 25 25 25 25 24 24 24 24 24 23 23 23 23 23 23 22 22 22 22 22 22 22 22 22 22 22 21 21 21 21 21 21 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 24 24 24 24 24 25 25 25 25 26 26 26 26 27 27 27 28 28 28 29 29 29 30 30 30 31 31 32 32 32 33 33 33 34 34 35 35 35 36 36 37 37 37 38 38 39 39 39 40 40 40 41 41 41 41 42 42 42 42 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 42 42 42 42 42 41 41 41 40 40 40 39 39 39 38 38 38 37 37 36 36 36 35 35 35 34 34 33 33 33 32 32 31 31 31 30 30 30 29 29 29 28 28 28 27 27 27 27 26 26 26 26 25 25 25 25 24 24 24 24 24 23 23 23 23 23 23 23 22 22 22 22 22 22 22 22 22 22 22 22 22 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22 22 22 22 22 23 23 23 23 23
 18 18 18 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 19 19 19 19 19 19 20 20 20 20 20 21 21 21 21 22 22 22 23 23 23 24 24 24 25 25 26 26 27 27 27 28 28 29 30 30 31 31 32 33 33 34 34 35 36 37 37 38 39 40 40 41 42 43 44 45 45 46 47 48 49 50 51 52 52 53 54 55 56 57 57 58 59 60 60 61 62 62 63 63 64 64 64 65 65 65 65 65 65 65 65 65 65 65 64 64 64 63 63 62 62 61 60 60 59 58 58 57 56 55 54 54 53 52 51 50 49 49 48 47 46 45 44 44 43 42 41 40 40 39 38 38 37 36 35 35 34 34 33 32 32 31 31 30 30 29 29 28 28 27 27 27 26 26 26 25 25 25 24 24 24 23 23 23 23 22 22 22 22 22 21 21 21 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 21 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 23 23 23 23 23 23 23 23 23 24 24 24 24 24 24 24 24 24 24 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 24 24 24 24 24 24 24 24 24 24 23 23 23 23 23 23 23 22 22 22 22 22 22 22 21 21 21 21 21 21 20 20 20 20 20 20 20 19 19 19 19 19 19 19 19 18 18 18 18 18 18 18 18
 16 16 16 16 17 17 17 17 17 18 18 18 18 18 19 19 19 20 20 20 21 21 21 22 22 23 23 23 24 24 25 25 26 26 27 27 28 28 29 30 30 31 31 32 33 33 34 35 35 36 37 37 38 39 39 40 41 42 42 43 44 44 45 45 46 47 47 48 48 49 49 49 50 50 51 51 51 51 51 51 52 52 52 52 51 51 51 51 51 50 50 50 49 49 49 48 48 47 47 46 45 45 44 44 43 42 42 41 41 40 39 39 38 38 37 36 36 35 35 34 33 33 32 32 31 31 30 30 29 29 29 28 28 27 27 27 26 26 25 25 25 25 24 24 24 23 23 23 23 22 22 22 22 22 22 21 21 21 21 21 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 21 21 21 21 21 21 21 21 21 22 22 22 22 22 22 23 23 23 23 24 24 24 24 25 25 25 25 26 26 26 27 27 27 28 28 28 29 29 29 30 30 31 31 31 32 32 32 33 33 34 34 34 35 35 35 36 36 36 37 37 37 37 38 38 38 38 38 38 39 39 39 39 39 39 39 39 39 39 38 38 38 38 38 38 37 37 37 36 36 36 35 35 35 34 34 33 33 33 32 32 31 31 30 30 29 29 29 28 28 27 27 26 26 25 25 25 24 24 23 23 23 22 22 22 21 21 21 20 20 20 19 19 19 19 18 18 18 18 18 17 17 17 17 17 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16
 33 33 33 33 33 34 34 34 34 35 35 35 35 36 36 36 36 37 37 37 37 38 38 38 38 39 39 39 39 40 40 40 40 41 41 41 41 41 42 42 42 42 42 43 43 43 43 43 43 43 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 43 43 43 43 43 43 43 42 42 42 42 42 41 41 41 41 41 40 40 40 40 40 39 39 39 39 38 38 38 38 37 37 37 37 37 36 36 36 36 36 35 35 35 35 35 34 34 34 34 34 33 33 33 33 33 33 32 32 32 32 32 32 32 32 31 31 31 31 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 31 31 31 31 31 31 31 32 32 32 32 32 32 32 32 32 32 32 32 32 33 33 33 33 33 33 33 33 33 33 33 33 33 33 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 33 33 33 33 33 33 33 33 33 33 33 33 33 32 32 32 32 32 32 32 32 32 32 31 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 29 29 29 29 29 29 29 29 29 29 29 29 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 29 29 29 29 29 29 29 29 29 30 30 30 30 30 30 30 31 31 31 31 31 31 32 32 32 32 32
 26 26 26 26 26 27 27 27 27 27 27 27 27 27 27 27 27 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 31 32 32 32 32 32 32 32 33 33 33 33 33 33 33 34 34 34 34 34 34 34 35 35 35 35 35 35 35 35 36 36 36 36 36 36 36 36 37 37 37 37 37 37 37 37 37 37 37 37 37 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 37 37 37 37 37 37 37 37 37 37 37 37 36 36 36 36 36 36 36 36 35 35 35 35 35 35 35 34 34 34 34 34 34 33 33 33 33 33 32 32 32 32 32 32 31 31 31 31 31 31 30 30 30 30 30 29 29 29 29 29 29 28 28 28 28 28 28 28 27 27 27 27 27 27 27 26 26 26 26 26 26 26 26 26 26 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 26 26 26 26 26 26 26
 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 16 16 16 16 16 17 17 17 17 18 18 18 18 18 19 19 19 19 19 20 20 20 20 20 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 23 23 23 22 22 22 22 22 22 22 22 22 22 22 21 21 21 21 21 21 21 20 20 20 20 20 20 19 19 19 19 19 19 18 18 18 18 18 18 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 19 19 19 19 19 19 19 19 20 20 20 20 20 20 20 20 20 20 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19 19 18 18 18 18 18 18 17 17 17 17 17 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10
 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18 19 19 19 19 19 19 19 19 20 20 20 20 20 20 20 20 20 21 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 21 21 21 21 21 21 21 21 20 20 20 20 20 19 19 19 19 19 18 18 18 18 18 17 17 17 17 16 16 16 16 16 15 15 15 15 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14
 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6
 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 16 16 16 16 17 17 17 18 18 18 19 19 19 20 20 20 21 21 21 22 22 22 23 23 24 24 24 25 25 25 26 26 27 27 27 28 28 28 29 29 29 30 30 30 31 31 31 32 32 32 32 33 33 33 33 33 33 33 34 34 34 34 34 34 34 34 34 34 34 34 34 34 33 33 33 33 33 33 33 33 32 32 32 32 32 31 31 31 31 31 31 30 30 30 30 30 29 29 29 29 29 29 28 28 28 28 28 28 28 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 28 28 28 28 28 28 29 29 29 29 29 30 30 30 31 31 31 31 32 32 32 33 33 34 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 45 45 46 46 47 47 48 48 49 49 50 50 50 51 51 51 52 52 52 52 53 53 53 53 53 53 53 53 53 53 52 52 52 52 51 51 50 50 49 49 48 48 47 47 46 45 45 44 43 43 42 41 40 40 39 38 38 37 36 35 35 34 33 32 32 31 30 30 29 28 28 27 27 26 25 25 24 24 23 23 22 22 21 21 20 20 19 19 19 18 18 18 17 17 17 16 16 16 15 15 15 15 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
 19 19 19 19 19 19 19 20 20 20 20 20 20 21 21 21 21 21 22 22 22 22 22 22 23 23 23 23 23 23 24 24 24 24 24 24 24 25 25 25 25 25 25 25 25 25 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 25 25 25 25 25 25 25 25 25 25 24 24 24 24 24 24 24 24 24 23 23 23 23 23 23 23 23 23 22 22 22 22 22 22 22 22 22 22 22 22 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 24 24 24 24 25 25 25 26 26 26 26 27 27 28 28 28 29 29 30 30 31 31 32 32 33 33 34 35 35 36 37 37 38 39 40 40 41 42 43 44 44 45 46 47 48 49 50 51 52 53 53 54 55 56 57 58 59 60 61 62 62 63 64 65 65 66 67 67 68 68 69 69 69 69 70 70 70 70 70 70 69 69 69 68 68 67 67 66 66 65 64 63 62 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 39 38 37 36 35 35 34 33 32 32 31 30 30 29 29 28 27 27 26 26 25 25 25 24 24 23 23 22 22 22 21 21 21 21 20 20 20 19 19 19 19 19 18 18 18 18 18 18 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18
 21 21 21 21 21 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 23 24 24 24 24 24 24 25 25 25 25 25 26 26 26 26 26 27 27 27 27 28 28 28 28 28 29 29 29 29 30 30 30 30 30 31 31 31 31 31 32 32 32 32 32 32 32 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 32 32 32 32 32 32 32 32 31 31 31 31 31 31 30 30 30 30 30 29 29 29 29 29 28 28 28 28 28 28 27 27 27 27 27 27 26 26 26 26 26 26 25 25 25 25 25 25 25 25 25 25 25 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 25 25 25 25 25 25 25 25 25 26 26 26 26 26 27 27 27 27 28 28 28 28 29 29 29 30 30 30 31 31 32 32 32 33 33 34 34 35 35 36 36 37 38 38 39 39 40 41 41 42 43 43 44 45 45 46 47 48 48 49 50 50 51 52 53 53 54 55 55 56 57 57 58 59 59 60 60 61 61 62 62 63 63 63 63 64 64 64 64 64 64 64 64 64 63 63 63 63 62 62 61 61 60 60 59 59 58 57 57 56 55 55 54 53 53 52 51 50 49 49 48 47 46 46 45 44 43 43 42 41 40 40 39 38 38 37 37 36 35 35 34 34 33 32 32 31 31 30 30 30 29 29 28 28 28 27 27 26 26 26 26 25 25 25 24 24 24 24 23 23 23 23 23 23 22 22 22 22 22 22 22 22 22 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21
 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 17 17 17 17 17 17 18 18 18 18 18 19 19 19 19 20 20 20 20 21 21 21 21 22 22 22 22 23 23 23 24 24 24 24 25 25 25 26 26 26 26 27 27 27 27 27 28 28 28 28 28 29 29 29 29 29 29 29 29 29 29 29 30 30 29 29 29 29 29 29 29 29 29 29 29 28 28 28 28 28 28 27 27 27 27 26 26 26 26 25 25 25 25 24 24 24 24 23 23 23 23 22 22 22 22 21 21 21 21 21 20 20 20 20 19 19 19 19 19 19 18 18 18 18 18 18 18 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 19 19 19 19 20 20 20 20 21 21 21 21 22 22 22 23 23 23 24 24 25 25 25 26 26 27 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 35 36 36 37 37 38 38 38 39 39 39 40 40 40 41 41 41 41 41 41 42 42 42 42 42 41 41 41 41 41 41 40 40 40 40 39 39 39 38 38 37 37 36 36 36 35 35 34 34 33 33 32 32 31 31 30 30 29 29 28 28 27 27 26 26 25 25 24 24 24 23 23 22 22 22 21 21 21 20 20 20 19 19 19 19 18 18 18 18 17 17 17 17 17 16 16 16 16 16 16 16 15 15 15 15
 18 18 18 18 17 17 17 17 17 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 17 17 17 17 17 17 18 18 18 18 18 18 19 19 19 19 19 20 20 20 20 21 21 21 21 21 22 22 22 22 23 23 23 23 24 24 24 24 24 25 25 25 25 25 26 26 26 26 26 27 27 27 27 27 28 28 28 28 28 28 28 29 29 29 29 29 29 29 29 29 29 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 32 32 32 32 32 32 32 32 33 33 33 33 33 33 34 34 34 34 34 35 35 35 35 36 36 36 36 37 37 37 38 38 38 39 39 39 40 40 40 41 41 42 42 42 43 43 44 44 45 45 46 46 47 47 47 48 48 49 49 50 50 51 51 52 52 53 53 54 54 55 55 55 56 56 56 57 57 57 58 58 58 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 58 58 58 58 57 57 56 56 56 55 55 54 54 53 52 52 51 51 50 49 49 48 47 47 46 45 45 44 43 43 42 41 41 40 39 39 38 37 37 36 35 35 34 34 33 32 32 31 31 30 30 29 29 28 28 27 27 26 26 25 25 24 24 24 23 23 22 22 22 21 21 21 20 20 20 20 19 19 19 18
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 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 13 13 13 13 14 14 14 15 15 15 15 16 16 16 17 17 17 17 18 18 18 18 19 19 19 19 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 18 18 18 18 17 17 17 16 16 16 15 15 14 14 14 13 13 13 12 12 12 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 13 13 13 14 14 14 14 15 15 15 15 15 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9
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 36 37 37 38 38 39 39 40 40 41 42 42 43 44 45 45 46 47 48 49 50 52 53 54 56 57 59 61 62 64 66 69 71 74 76 79 82 86 89 93 97 101 106 111 116 122 128 135 142 149 157 166 175 185 196 208 220 234 248 264 280 298 317 338 360 384 409 436 465 495 528 563 599 638 679 721 766 812 859 907 956 1005 1053 1100 1145 1188 1227 1261 1290 1313 1329 1338 1340 1334 1321 1301 1275 1243 1206 1165 1121 1074 1026 977 928 879 831 784 738 695 653 613 575 539 506 474 444 416 390 365 343 321 301 283 266 250 235 221 208 196 185 174 164 155 147 139 132 125 118 112 107 102 97 92 88 84 80 77 73 70 67 65 62 60 57 55 53 51 49 48 46 44 43 42 40 39 38 37 36 35 34 33 32 31 30 29 29 28 27 27 26 25 25 24 24 23 23 22 22 21 21 20 20 20 19 19 19 18 18 18 18 17 17 17 17 16 16 16 16 16 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 17 17 17 17 17 17 17 18 18 18 18 18 18 19 19 19 19 19 19 20 20 20 20 20 21 21 21 21 21 21 22 22 22 22 22 22 23 23 23 23 23 24 24 24 24 24 24 25 25 25 25 25 25 26 26 26 26 26 26 27 27 27 27 27 27 28 28 28 28 28 29 29 29 29 29 29 30 30 30 30 30 31 31 31 31 32 32 32 32 33 33 33 33 34 34 34 35 35 35 36 36
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 21 21 22 22 23 23 24 24 25 25 26 26 27 28 29 29 30 31 32 33 34 35 36 37 38 39 41 42 44 45 47 49 51 54 56 59 62 65 68 72 76 80 85 90 95 101 108 115 123 131 141 151 162 175 188 203 220 238 257 279 303 330 359 391 427 466 510 557 610 668 732 802 880 964 1056 1156 1264 1380 1504 1635 1770 1909 2049 2186 2315 2432 2531 2608 2658 2679 2667 2625 2554 2458 2342 2211 2070 1924 1778 1634 1495 1364 1240 1125 1019 921 833 752 678 612 552 497 448 404 364 329 296 267 241 217 196 177 159 143 129 116 105 94 84 76 68 61 54 48 43 38 34 29 26 22 19 17 14 12 9 7 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 13 14 14 14 15 15 15 16 16 16 17 17 17 18 18 18 19 19 19 20 20 21
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 31 31 32 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 40 40 41 42 43 43 44 45 46 47 48 49 51 52 53 55 56 58 60 62 64 66 68 71 74 77 80 83 87 91 96 100 105 111 117 124 131 139 147 156 167 177 189 202 217 232 249 267 288 310 334 360 388 419 453 490 531 574 621 673 728 787 851 918 989 1064 1142 1222 1303 1383 1461 1535 1602 1660 1708 1742 1761 1764 1751 1722 1678 1621 1554 1478 1397 1312 1226 1140 1056 974 897 824 755 691 631 577 526 480 437 399 363 331 302 275 251 229 209 190 174 158 145 132 121 110 101 92 84 77 70 64 59 54 49 45 41 37 34 31 28 26 23 21 19 17 15 14 12 11 10 9 8 7 6 5 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 14 14 14 14 15 15 15 16 16 16 16 17 17 17 18 18 18 19 19 19 20 20 20 21 21 21 22 22 22 23 23 23 24 24 24 25 25 25 26 26 27 27 27 28 28 28 29 29 30 30 30
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 43 45 47 49 51 53 55 58 60 63 65 68 71 74 78 81 85 89 93 97 102 106 111 117 122 128 135 141 148 156 164 173 182 191 201 212 224 236 249 263 277 292 309 326 344 362 382 403 424 446 468 491 514 538 561 584 607 628 649 668 686 701 715 726 734 740 743 743 740 735 727 717 704 689 673 656 637 617 596 575 554 533 511 490 469 449 429 410 391 373 355 338 322 306 291 277 263 250 238 226 215 204 194 185 176 167 159 151 144 137 131 124 119 113 108 103 99 95 91 87 83 80 77 74 71 68 66 64 62 59 58 56 54 52 51 49 48 47 45 44 43 42 41 39 38 37 36 36 35 34 33 32 31 30 30 29 28 27 27 26 25 24 24 23 22 22 21 20 20 19 19 18 17 17 16 16 15 15 14 13 13 12 12 11 11 10 10 9 9 8 8 8 7 7 6 6 5 5 5 4 4 4 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 4 4 4 5 5 6 6 6 7 7 8 8 9 10 10 11 11 12 12 13 13 14 14 15 16 16 17 17 18 18 19 19 20 20 20 21 21 22 22 23 23 23 24 24 24 24 25 25 25 25 25 26 26 26 26 26 26 26 26 26 26 26 26 25 25 25 25 25 24 24 24 24 23 23 23 22 22 22 21 21 21 20 20 20 19 19 19 19 18 18 18 18 18 17 17 17 17 17 17 17 18 18 18 18 18 19 19 20 20 21 21 22 23 23 24 25 26 27 28 29 30 31 33 34 35 37 38 40 41
 5 6 6 7 7 8 8 9 9 10 10 11 11 12 13 13 14 15 16 17 17 18 19 20 21 23 24 25 27 28 30 32 34 36 38 41 44 47 50 54 58 63 69 75 82 90 98 108 120 132 147 163 182 203 226 253 283 317 355 397 443 494 548 605 663 721 776 825 865 893 906 902 883 850 805 752 694 633 573 516 461 411 365 323 285 252 222 196 172 151 133 117 102 90 78 68 59 52 45 39 33 28 24 20 17 14 12 9 7 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 3 3 3 4 4 4 5 5
 14 15 15 16 16 16 17 17 18 18 19 19 19 20 20 21 21 22 22 23 24 24 25 25 26 27 28 28 29 30 31 32 33 34 35 37 38 39 41 43 44 46 49 51 53 56 59 62 65 69 73 78 83 88 93 100 106 114 121 130 139 149 159 171 183 195 209 223 237 253 268 284 301 317 333 348 363 378 390 402 412 419 425 429 430 429 426 420 413 404 393 380 367 353 338 322 307 291 276 261 246 231 217 204 191 179 168 157 147 137 128 120 112 104 98 91 85 80 75 70 66 62 59 55 52 50 47 45 43 41 39 37 36 34 33 32 31 30 29 28 27 27 26 25 25 24 24 23 23 22 22 22 21 21 20 20 20 20 19 19 19 18 18 18 18 17 17 17 17 16 16 16 16 16 15 15 15 15 14 14 14 14 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 13 13 13 14 14
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 28 30 31 33 35 37 39 41 43 45 47 49 52 54 56 59 61 64 67 70 73 76 79 82 86 89 93 97 101 106 111 116 121 126 132 139 145 153 160 169 178 188 198 210 222 236 250 266 284 302 323 345 369 395 423 453 485 519 555 593 632 672 713 753 793 831 867 900 928 950 967 977 979 975 963 944 919 889 855 817 776 734 692 649 607 566 526 488 452 417 385 355 327 301 276 254 233 213 196 179 164 150 138 126 115 106 97 89 81 75 69 63 58 53 49 46 42 39 37 34 32 30 28 27 25 24 23 22 21 20 20 19 19 18 18 17 17 17 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 8 8 8 7 7 7 6 6 6 5 5 5 4 4 4 3 3 3 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 4 5 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 22 23 25 26
 72 75 77 80 83 86 88 91 95 98 101 105 109 113 117 122 127 132 137 143 149 156 163 171 180 189 198 209 221 233 247 261 277 295 313 334 355 379 404 431 459 489 521 553 586 620 653 685 715 743 768 788 804 814 818 816 808 794 776 753 726 696 665 632 598 565 532 499 468 438 410 383 358 334 312 291 271 253 237 221 206 193 180 169 158 148 138 129 121 114 106 100 94 88 82 77 72 68 64 60 56 53 50 47 44 41 39 37 35 33 31 29 28 26 25 24 23 22 21 20 19 19 18 18 17 17 16 16 15 15 15 15 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 12 12 13 13 14 14 15 16 16 17 18 18 19 20 21 22 23 24 25 26 28 29 30 31 33 34 36 37 39 40 42 44 46 47 49 51 53 55 57 59 61 63 66 68 70
 78 78 78 79 79 79 80 80 80 81 81 81 81 82 82 82 82 83 83 83 83 84 84 84 85 85 86 86 87 87 88 88 89 90 90 91 92 93 94 95 96 97 98 99 100 101 102 104 105 106 107 109 110 111 112 113 114 115 116 117 118 119 119 120 120 121 121 121 121 121 121 121 120 120 119 118 118 117 116 114 113 112 111 109 108 106 104 103 101 99 97 96 94 92 90 88 86 84 82 80 78 76 74 72 70 68 66 64 63 61 59 57 55 54 52 51 49 47 46 45 43 42 41 39 38 37 36 35 34 33 32 31 31 30 29 28 28 27 26 26 25 25 24 24 23 23 22 22 22 21 21 21 20 20 20 19 19 19 18 18 18 18 17 17 17 17 16 16 16 16 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 13 14 14 14 14 15 15 15 16 16 16 17 17 18 18 18 19 19 20 20 21 21 22 22 23 24 24 25 26 26 27 28 29 30 30 31 32 33 34 35 36 38 39 40 41 42 43 45 46 47 49 50 51 52 54 55 56 58 59 60 61 63 64 65 66 67 68 69 70 71 72 72 73 74 74 75 76 76 77 77
 80 84 89 93 98 103 108 113 118 123 129 134 140 146 152 158 165 171 177 184 190 197 203 210 216 223 229 236 242 248 254 259 265 270 275 280 285 289 293 297 300 304 307 310 312 315 317 319 321 323 325 326 328 330 331 332 334 335 336 338 339 340 341 342 342 343 344 344 344 344 343 343 342 341 339 338 335 333 330 327 324 320 316 312 307 302 296 291 285 279 272 265 258 251 244 237 229 222 214 207 199 192 185 177 170 163 156 149 143 137 130 125 119 113 108 103 99 94 90 86 82 79 75 72 69 66 64 61 59 57 55 53 51 50 48 47 45 44 43 42 41 40 39 38 37 36 35 34 34 33 32 32 31 30 30 29 29 28 28 27 26 26 25 25 24 24 23 23 23 22 22 21 21 20 20 19 19 18 18 18 17 17 16 16 15 15 15 14 14 13 13 12 12 12 11 11 11 10 10 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 15 16 17 18 19 20 22 23 25 26 28 30 32 34 36 38 41 43 46 49 52 55 58 61 65 68 72 76
 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 42 43 44 45 46 48 49 51 52 53 55 57 58 60 62 64 66 68 71 73 76 79 82 85 89 93 97 102 107 113 119 126 133 141 150 160 170 182 194 208 223 239 257 276 297 319 342 368 394 422 450 480 510 540 569 598 624 648 668 685 697 703 704 700 690 675 655 631 604 574 543 511 478 446 414 383 354 326 300 275 252 230 210 192 175 160 145 132 120 110 100 91 82 75 68 62 57 52 47 43 40 36 33 31 28 26 24 23 21 20 19 18 17 16 15 14 14 13 13 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 7 7 8 8 9 9 10 10 11 12 12 13 14 14 15 16 17 18 18 19 20 21 22 23
 31 32 32 33 34 34 35 35 36 36 37 37 38 38 39 40 40 41 41 42 43 43 44 45 45 46 47 48 49 49 50 51 52 53 54 55 56 57 58 59 61 62 63 65 66 68 69 71 73 74 76 78 80 82 84 86 89 91 93 96 98 101 103 106 108 111 113 116 118 121 123 126 128 130 132 135 137 139 140 142 144 145 146 148 149 150 150 151 151 152 152 152 152 151 151 150 149 148 147 146 145 144 142 141 139 137 136 134 132 130 128 126 124 122 120 118 116 114 112 110 108 106 104 102 100 98 96 94 93 91 89 88 86 85 83 82 80 79 77 76 75 74 72 71 70 69 68 67 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 48 47 46 45 44 43 42 41 40 39 39 38 37 36 35 34 34 33 32 31 30 30 29 28 27 27 26 25 25 24 23 23 22 21 21 20 20 19 18 18 17 17 17 16 16 15 15 14 14 14 14 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 17 17 17 17 17 18 18 18 18 19 19 19 19 20 20 20 21 21 22 22 22 23 23 24 24 24 25 25 26 26 27 27 28 28 29 29 29 30 30 31
 74 79 85 91 97 104 111 118 126 135 144 154 165 176 187 200 213 227 242 257 273 290 307 325 344 362 381 399 417 434 451 466 480 491 501 508 513 516 516 513 508 501 491 480 468 454 440 424 409 393 378 363 348 333 319 306 293 282 270 260 250 241 232 224 216 209 203 197 191 186 181 177 173 169 165 162 159 156 153 150 148 146 143 141 139 138 136 134 132 131 129 128 126 125 123 122 120 119 117 116 114 113 111 109 108 106 104 103 101 99 97 95 93 91 89 87 85 83 81 79 77 75 73 71 69 67 65 63 61 59 57 56 54 52 51 49 47 46 44 43 42 40 39 38 36 35 34 33 32 31 30 29 28 27 26 25 25 24 23 22 21 21 20 19 19 18 17 17 16 16 15 15 14 14 13 13 12 12 11 11 10 10 9 9 8 8 8 7 7 7 6 6 5 5 5 4 4 4 4 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 14 15 15 16 17 19 20 21 23 24 26 28 30 32 35 37 40 43 46 49 53 56 60 65 69
 56 59 61 64 66 69 72 75 79 82 86 90 94 99 103 108 114 119 125 131 138 144 151 159 166 174 182 190 199 207 215 224 232 239 247 254 260 265 270 273 275 277 277 276 273 270 266 260 254 247 240 232 224 216 207 198 190 182 174 166 158 151 144 137 131 125 119 114 109 104 99 95 91 88 84 81 78 75 72 70 68 65 63 61 60 58 56 55 54 52 51 50 49 48 47 47 46 45 45 44 44 43 43 43 43 43 43 43 43 43 43 43 44 44 44 45 46 46 47 48 49 50 51 52 53 55 56 57 59 60 62 64 65 67 69 71 73 74 76 78 80 81 83 85 86 87 89 90 91 92 92 93 94 94 94 94 94 94 93 93 92 91 90 89 88 87 86 85 83 82 80 79 77 75 74 72 70 69 67 65 64 62 61 59 57 56 54 53 51 50 48 47 45 44 42 41 40 38 37 36 35 34 32 31 30 29 28 27 26 26 25 24 23 23 22 21 21 20 20 19 19 18 18 18 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 19 19 19 19 19 19 19 20 20 20 20 20 20 20 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 23 23 23 23 23 24 24 24 25 25 26 26 27 28 28 29 30 31 31 32 33 34 35 37 38 39 40 42 43 45 47 48 50 52 54
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 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 12 12 13 13 13 14 14 15 15 16 17 17 18 19 20 21 22 23 25 26 28 29 31 34 36 39 42 45 49 53 58 63 69 76 83 92 101 111 123 135 150 165 183 202 224 247 273 301 332 365 400 438 478 518 560 601 641 678 712 739 761 774 779 775 763 744 717 686 650 612 573 533 494 456 419 385 353 322 294 269 245 223 203 185 169 154 140 128 117 107 98 90 82 76 70 64 59 55 51 48 44 41 39 37 35 33 31 29 28 27 26 25 24 23 22 21 21 20 19 19 18 18 17 17 17 16 16 16 15 15 15 14 14 14 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5
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 17 18 18 18 18 19 19 19 20 20 20 21 21 21 22 22 22 22 23 23 23 24 24 24 25 25 25 26 26 26 27 27 28 28 28 29 29 30 30 31 31 32 32 33 33 34 35 35 36 37 37 38 38 39 40 40 41 41 42 43 43 44 44 45 45 45 46 46 46 46 46 46 46 46 46 46 46 46 45 45 45 44 44 43 43 42 42 41 41 40 39 39 38 37 37 36 36 35 34 34 33 33 32 31 31 30 30 29 29 28 28 27 27 26 26 25 25 25 24 24 24 24 23 23 23 23 23 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 24 24 24 24 25 25 25 25 26 26 26 26 27 27 27 27 28 28 28 28 28 29 29 29 29 29 29 29 29 29 29 29 29 29 28 28 28 28 28 27 27 27 26 26 26 25 25 24 24 23 23 22 22 22 21 21 20 19 19 18 18 18 17 17 16 16 15 15 14 14 14 13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 14 14 14 15 15 15 15 16 16 16 17 17
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 29 30 30 30 31 31 31 32 32 32 32 33 33 33 33 33 34 34 34 34 34 35 35 35 35 35 36 36 36 37 37 37 38 38 38 39 39 40 41 41 42 43 44 45 46 47 48 50 51 53 54 56 58 60 62 65 67 70 72 75 78 81 85 88 91 95 98 102 106 109 113 117 120 123 127 130 133 135 138 140 142 143 145 145 146 146 145 145 144 142 140 138 136 133 130 127 124 121 117 114 110 107 103 100 96 92 89 86 82 79 76 73 70 67 64 62 59 57 55 53 51 49 47 46 44 43 41 40 39 38 37 36 36 35 35 34 34 33 33 33 33 33 33 33 33 33 33 33 34 34 34 35 35 35 36 36 36 37 37 38 38 39 39 40 40 41 41 41 42 42 43 43 43 44 44 44 45 45 45 45 45 45 45 45 45 45 45 45 45 44 44 44 43 43 43 42 41 41 40 40 39 38 38 37 36 35 35 34 33 32 32 31 30 29 29 28 27 27 26 26 25 25 24 24 23 23 23 22 22 22 21 21 21 21 21 21 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 19 19 19 19 19 19 19 19 19 18 18 18 18 18 18 17 17 17 17 17 17 16 16 16 16 16 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 16 16 16 17 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 24 25 25 26 26 27 27 28 28 28 29 29
 24 24 24 24 24 24 25 25 25 25 25 25 25 25 25 25 26 26 26 26 26 26 27 27 27 28 28 28 29 29 29 30 30 31 32 32 33 34 35 35 36 37 38 40 41 42 44 45 47 49 51 53 55 57 60 62 65 68 70 74 77 80 83 87 91 94 98 102 106 110 114 118 121 125 129 133 136 139 143 146 148 151 153 155 156 158 159 160 160 160 160 159 158 157 156 154 152 150 148 145 143 140 137 134 131 128 125 122 119 115 112 109 106 103 100 97 94 92 89 86 84 81 79 77 75 73 71 69 67 65 64 62 61 60 58 57 56 55 54 53 53 52 51 50 50 49 49 48 48 47 47 46 46 46 45 45 45 44 44 44 43 43 43 43 42 42 42 42 41 41 41 41 40 40 40 40 39 39 39 39 38 38 38 38 37 37 37 37 36 36 36 35 35 35 35 34 34 34 33 33 32 32 32 31 31 31 30 30 30 29 29 29 28 28 28 27 27 27 27 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 27 27 27 27 28 28 28 28 29 29 29 30 30 30 30 31 31 31 32 32 32 33 33 33 34 34 34 35 35 35 35 36 36 36 36 37 37 37 37 37 38 38 38 38 38 38 38 38 38 38 38 38 38 38 37 37 37 37 37 36 36 36 35 35 35 34 34 34 33 33 33 32 32 31 31 31 30 30 30 29 29 29 28 28 28 27 27 27 27 27 26 26 26 26 26 26 25 25 25 25 25 25 25 25 25 25 25 25 24 24 24 24 24 24 24 24 24 24 24 24 24 24
 16 16 17 17 17 17 18 18 18 19 19 19 20 20 20 21 21 21 22 22 23 23 23 24 24 25 25 26 26 27 27 28 28 29 30 30 31 32 33 34 35 36 37 38 39 41 42 44 46 48 50 52 55 57 60 63 67 70 74 78 83 87 92 97 103 109 115 122 128 135 143 150 157 165 173 180 188 195 201 208 214 219 223 227 230 231 232 232 231 229 227 223 219 214 208 202 196 190 183 176 169 162 155 149 142 136 129 124 118 112 107 102 97 93 89 85 81 78 74 71 68 66 63 61 59 57 55 53 51 50 48 47 46 45 44 43 42 41 40 39 38 37 37 36 35 34 34 33 32 32 31 31 30 29 29 28 27 27 26 26 25 24 24 23 23 22 21 21 20 20 19 19 18 18 17 17 16 16 15 15 14 14 13 13 12 12 11 11 11 10 10 9 9 9 8 8 7 7 7 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 7 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 18 18 19 19 20 20 21 21 22 22 23 23 23 24 24 24 25 25 25 26 26 26 26 26 26 26 26 26 26 26 26 26 26 25 25 25 24 24 24 23 23 22 22 21 21 20 20 19 19 18 18 17 17 16 16 15 15 15 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 15 15 15 15 16
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