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1,11,11,11,11,11,11,11,11,11,12,12,12,12,11,11,11,12,12,12,12,12,12,11,11,10,10,9,8,8,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,11,11,10,10,10,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,9,12,14,15,20,23,25,29,31,33,35,33,37,38,38,40,41,44,44,43,43,45,46,48,49,52,51,52,52,52,52,51,51,49,49,48,48,47,46,46,45,45,46,46,46,45,46,46,45,45,45,45,45,47,46,46,46,46,47,46,46,45,45,44,45,46,45,45,45,45,45,45,45,44,45,44,45,44,44,45,45,46,45,45,45,45,45,45,44,45,45,44,45,44,45,45,44,44,45,45,44,44,1456,1603,1731,1725.5,1897,2027.5,2005,2148,2190,2211,2260,2193,2305,2369.5,2380.5,2474.5,2578.5,2679,2661,2637.5,2556,2629,2699.5,2866,2907.5,3122,3108.5,3136,3121,3064.5,3005.5,2809,2684,2480.5,2376,2305.5,2237,2183.5,2153,2132,2124.5,2124.5,2107.5,2128.5,2149.5,2146,2150.5,2133.5,2134,2134,2147,2154,2159,2156.5,2157,2161,2158,2168,2173.5,2167,2142,2124.5,2113.5,2106,2106,2105.5,2106,2106,2107,2107,2108,2108,2108,2107.5,2107,2106.5,2106,2105.5,2104.5,2104,2103.5,2103,2102.5,2102.5,2102.5,2102.5,2102.5,2103.5,2104,2104.5,2105.5,2106,2106.5,2107,2107.5,2107.5,2108,2108,2108.5,2108.5,2109,2109,1456,1443,1585,1707,1699,1864,1989,1964,2101,2141,2160,2206,2141,2249,2311,2322,2413,2514,2611,2594,2570,2491,2562,2631,2793,2833,3042,3030,3057,3042,2986,2927,2735,2612,2412,2310,2241,2174,2122,2094,2073,2067,2067,2051,2072,2092,2089,2094,2077,2078,2078,2091,2098,2103,2101,2101,2105,2102,2112,2118,2111,2087,2071,2060,2053,2053,2053,2053,2054,2054,2055,2055,2056,2056,2056,2055,2055,2054,2054,2053,2053,2052,2052,2052,2052,2052,2052,2052,2053,2053,2054,2055,2056,2056,2057,2057,2057,2058,2058,2058,2059,2059,9,9,10,11,10,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,12,12,12,12,13,13,13,13,13,13,12,12,11,10,9,9,8,8,8,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,11,10,10,10,9,9,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,10,11,13,16,18,21,24,26,30,31,33,35,34,36,38,38,40,41,43,42,44,42,43,45,47,48,52,51,51,51,52,53,51,50,49,47,47,47,46,45,45,44,44,43,43,44,45,44,45,45,45,45,45,45,44,45,45,45,45,45,46,45,44,44,44,44,43,44,43,44,44,45,44,44,44,44,44,44,44,44,43,44,43,43,43,44,44,44,44,45,44,44,44,44,44,44,44,44,44,44,43,44,1460,1448,1591.5,1715.5,1708.5,1875.5,2002,1978,2117,2157.5,2177,2224,2158.5,2267.5,2330.5,2341.5,2433.5,2535.5,2633.5,2616,2592.5,2512.5,2584,2653.5,2817,2857.5,3068.5,3056,3083,3068,3012,2953,2759.5,2635.5,2434.5,2331.5,2262,2194.5,2142,2113,2092,2085.5,2085.5,2069,2090,2110.5,2107.5,2112,2095,2096,2096,2109,2116,2121,2118.5,2119,2123,2120,2130,2135.5,2129,2104.5,2088,2077,2070,2070,2069.5,2070,2070.5,2071,2071.5,2072,2072.5,2072.5,2072.5,2071.5,2071.5,2070.5,2070.5,2069.5,2069,2068.5,2068,2068,2068,2068,2068,2068,2069,2069.5,2070,2071,2072,2072,2073,2073,2073,2074,2074,2074,2074.5,2075,1216,1443,1429,1567,1686,1676,1837,1959,1934,2067,2105,2124,2168,2103,2209,2269,2280,2369,2468,2563,2546,2523,2445,2514,2582,2741,2781,2987,2975,3001,2987,2932,2873,2683,2561,2365,2264,2196,2130,2079,2051,2031,2025,2026,2010,2031,2051,2048,2053,2036,2037,2037,2050,2057,2062,2060,2060,2064,2062,2071,2077,2071,2048,2031,2021,2014,2015,2014,2014,2015,2016,2016,2017,2017,2018,2017,2017,2017,2016,2016,2015,2015,2015,2014,2014,2014,2014,2014,2015,2015,2016,2017,2018,2019,2019,2020,2020,2021,2021,2021,2022,2022,9,10,10,11,11,11,12,13,12,13,13,13,13,13,13,13,13,13,14,14,14,13,13,13,13,14,14,14,14,14,14,13,13,12,11,10,9,9,9,8,8,8,8,8,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,9,9,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,12,12,15,18,20,23,25,26,29,31,31,33,33,35,37,37,39,40,42,42,42,41,43,44,46,46,49,49,50,49,49,49,48,48,45,45,44,43,43,43,42,42,41,42,42,42,42,42,42,42,42,42,42,43,43,43,43,42,43,43,42,41,43,42,42,41,42,42,42,41,42,41,42,41,43,42,42,42,42,42,42,41,42,42,42,42,42,41,42,41,42,42,42,42,42,42,41,42,42,41,42,1220,1449.5,1436,1576,1696.5,1687.5,1850.5,1974,1949,2084,2123,2142,2187,2122,2229,2290,2301,2391,2491,2587,2570,2546.5,2468,2538,2606.5,2767,2807,3014.5,3002.5,3029,3014.5,2959,2900,2709,2586.5,2388.5,2287,2218.5,2152,2100.5,2072.5,2052,2046,2046.5,2030.5,2051.5,2071.5,2068.5,2073.5,2056.5,2057.5,2057.5,2070.5,2077.5,2082.5,2080.5,2080.5,2084.5,2082,2091.5,20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