Vorticity
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nan 15 14 13 12 12 12 12 12 12 11 10 9 8 7 7 7 7 7 8 7 7 7 8 9 9 8 6 6 7 9 11 14 16 18 17 16 14 13 14 16 17 18 18 16 14 13 12 11 11 10 9 9 9 9 11 12 12 12 12 11 12 12 13 13 13 13 13 12 11 10 10 11 11 11 10 8 6 4 2 2 1 2 3 4 5 5 6 7 7 8 9 11 14 16 15 12 8 7 7 9 10 10 9 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 8 10 12 13 13 13 13 13 12 11 10 10 9 10 10 11 11 11 10 9 7 7 7 8 10 11 12 13 13 14 15 17 17 17 16 14 14 13 10 7 5 4 4 5 7 9 11 12 13 13 14 15 15 14 13 12 11 12 12 13 14 14 13 12 11 9 8 8 8 9 nan
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nan 10 7 4 2 3 6 10 13 14 13 11 10 9 8 7 6 6 6 7 7 8 9 9 9 8 7 7 7 9 11 13 14 14 14 14 14 14 14 15 15 16 16 16 16 15 14 13 12 12 12 11 11 10 10 11 11 12 12 12 11 11 12 12 12 11 10 10 11 11 11 11 11 11 10 8 7 6 4 4 3 2 2 1 0 0 1 2 4 6 8 10 11 10 10 11 12 14 15 15 14 13 12 12 10 9 8 8 8 8 7 6 5 5 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 6 5 3 2 3 5 7 8 8 7 6 6 6 6 6 7 7 7 7 7 8 9 10 12 14 16 18 19 19 19 17 16 15 14 13 12 11 9 8 6 5 5 5 6 nan
nan 9 7 5 4 5 7 10 11 12 10 9 8 7 6 6 5 5 6 7 8 10 11 11 11 10 8 7 8 10 11 13 13 13 11 11 11 13 14 15 16 16 15 14 13 13 12 12 12 13 14 15 14 13 13 12 12 11 11 11 11 11 12 12 12 11 11 10 11 12 12 12 12 12 11 10 8 7 6 5 5 4 4 3 2 0 0 1 3 5 8 9 10 9 8 9 11 13 15 16 15 13 12 11 10 9 9 9 8 8 6 5 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 6 5 4 3 1 1 2 3 4 4 5 4 5 7 8 8 8 7 7 6 6 6 7 9 11 13 16 18 19 19 18 17 15 14 13 12 12 10 9 7 5 4 4 5 5 nan
nan 10 9 7 7 7 9 10 11 10 8 6 5 5 5 5 5 5 6 8 10 11 12 12 12 10 8 7 8 9 10 11 12 11 10 9 9 11 14 16 17 17 16 15 13 12 11 11 11 13 16 18 17 16 15 14 13 12 11 11 11 12 13 13 14 14 14 14 14 15 15 14 14 13 12 12 10 9 8 8 8 7 7 7 6 3 2 2 3 5 7 9 10 10 8 8 10 12 14 16 16 14 13 12 10 9 9 9 9 8 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 5 5 5 4 3 3 4 4 4 5 6 8 10 11 11 10 8 7 6 6 7 8 10 11 13 15 17 18 17 16 15 13 13 12 12 11 10 8 7 5 4 4 5 5 nan
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nan 10 10 10 11 12 12 12 11 10 9 8 8 7 8 8 9 9 11 12 13 13 13 13 12 10 9 7 6 7 8 10 11 11 10 9 8 9 12 17 20 24 24 21 19 17 16 16 17 19 21 21 20 18 17 17 16 16 16 16 17 19 19 20 20 20 21 23 25 25 24 21 18 16 15 14 14 13 12 12 12 11 11 10 9 8 7 7 7 7 8 9 10 9 9 8 8 10 12 15 17 17 15 13 10 9 8 9 10 11 11 10 9 8 7 6 5 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 9 11 14 16 16 13 10 7 6 5 6 7 8 10 11 12 13 13 13 13 12 12 11 10 10 11 11 10 10 9 8 7 6 5 5 5 nan
nan 7 8 9 10 12 14 14 14 13 12 11 10 10 10 10 11 11 12 13 14 13 13 12 11 10 9 7 6 7 8 10 12 12 10 8 8 9 11 15 19 22 24 22 20 19 19 20 21 22 22 21 19 18 17 17 17 18 18 19 20 21 20 19 19 18 19 21 23 23 22 20 18 16 15 15 16 15 14 13 13 12 11 10 9 8 7 8 9 9 10 9 9 9 8 8 7 8 11 13 15 17 15 12 9 7 7 8 10 12 12 12 10 9 8 6 5 5 5 5 5 6 6 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 8 9 10 12 15 17 16 13 8 5 3 3 3 5 6 8 9 10 11 11 11 12 11 11 11 11 11 11 11 11 10 10 9 8 8 7 6 6 6 nan
nan 6 7 7 9 12 14 16 16 15 13 11 11 10 11 11 12 12 13 13 13 13 13 12 12 11 9 8 8 8 10 12 12 11 9 7 7 8 10 12 15 17 19 18 17 17 18 20 21 22 21 19 17 16 16 17 17 18 18 19 18 18 16 14 12 12 13 15 16 17 17 15 14 13 13 14 15 15 15 13 12 11 10 9 8 7 7 8 9 10 10 10 9 8 8 8 7 8 9 12 14 15 13 10 8 6 5 7 10 12 13 13 12 11 9 8 7 6 6 6 6 5 5 6 6 7 7 7 8 9 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 12 11 10 10 10 12 14 16 16 12 6 1 -0 -0 1 2 4 6 7 8 9 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 9 8 8 8 7 7 nan
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nan 9 8 8 8 10 12 14 14 13 12 10 10 11 11 11 11 11 12 12 12 12 11 10 10 11 11 11 11 12 12 13 13 11 7 4 4 5 6 6 6 7 8 8 8 8 9 11 12 14 15 15 15 14 14 13 13 12 11 9 6 4 2 0 0 1 4 5 6 7 7 7 6 6 7 8 9 9 9 9 8 8 9 9 8 8 8 9 10 10 10 10 9 9 8 8 8 9 9 10 11 11 11 10 9 8 8 8 9 10 11 13 13 13 12 10 9 8 8 8 8 8 9 11 13 17 19 22 23 23 23 21 19 18 16 15 14 14 13 13 13 13 14 14 15 15 15 15 15 15 15 15 14 13 9 6 2 -1 -3 -1 1 3 5 7 8 9 9 10 10 11 12 12 13 13 14 15 15 15 15 14 13 12 11 11 10 10 10 10 10 9 nan
nan 11 10 10 10 11 12 13 14 13 11 10 10 11 11 11 11 11 12 12 12 10 9 9 9 10 12 12 11 11 11 12 12 11 7 5 4 4 4 3 3 3 5 6 6 7 7 8 9 11 13 15 15 15 13 12 11 9 6 4 1 -1 -3 -3 -2 0 2 4 5 5 6 6 6 6 7 8 8 8 8 9 9 9 9 9 9 8 9 9 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 13 11 10 8 8 7 8 10 11 13 15 19 23 26 28 28 27 26 23 21 19 17 16 15 14 14 14 14 14 13 13 13 13 13 13 14 14 13 12 10 7 4 1 -1 -1 0 2 5 7 9 10 11 11 11 11 11 12 12 13 13 14 15 16 16 16 16 16 15 14 13 12 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
22 20 20 19 18 17 17 16 16 15 15 16 14 14 13 12 12 13 12 11 12 11 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 10 10 9 10 9 9 9 9 9 9 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 29 145 389 706 1016 1347 1668 1969 2230 2462 2659 2801 2886 2934 2942 2898 2868 2853 2828 2761 2691 2685 2792 3014 3325 3609 3729 3725 3604 3446 3309 3191 3056 2886 2724
19 19 18 18 17 15 15 16 15 15 16 16 15 15 14 12 12 12 12 11 11 11 12 11 11 10 11 10 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 12 12 12 12 12 12 12 11 11 11 10 10 9 10 10 10 9 9 9 10 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 21 138 398 767 1164 1501 1759 2010 2292 2569 2773 2872 2900 2925 2961 2979 2991 2932 2886 2835 2842 2936 3119 3377 3627 3738 3671 3558 3433 3306 3185 3070 2945 2803 2656
13 15 16 17 17 16 15 15 14 14 15 15 15 14 13 13 13 13 12 12 12 12 12 12 12 11 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 10 10 9 9 10 9 9 10 9 9 8 4 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 13 100 327 715 1193 1613 1877 2085 2360 2655 2858 2931 2919 2917 2985 3069 3112 3036 2979 2954 3022 3167 3369 3574 3653 3575 3435 3326 3248 3168 3080 2972 2855 2745 2640
9 11 12 13 16 15 14 14 12 12 14 15 15 14 12 12 13 13 12 12 12 12 12 12 12 11 12 11 11 10 11 11 10 10 11 10 10 11 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 7 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 6 49 209 558 1068 1585 1938 2143 2396 2704 2907 2971 2927 2891 2961 3090 3173 3158 3090 3088 3157 3275 3429 3526 3464 3333 3240 3153 3109 3061 3005 2907 2791 2698 2633
8 8 9 10 11 12 12 11 10 10 12 14 15 14 14 13 13 13 12 12 13 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 12 11 11 11 11 11 10 10 9 9 10 9 9 9 8 8 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 17 108 370 837 1407 1891 2194 2428 2728 2931 2987 2936 2885 2918 3036 3167 3248 3216 3209 3239 3293 3356 3364 3293 3228 3216 3095 3003 2966 2895 2801 2711 2664 2698
10 8 7 8 10 10 11 10 9 9 11 13 14 14 13 13 12 13 12 12 12 12 12 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 7 7 7 4 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 6 51 216 584 1121 1673 2097 2399 2678 2876 2967 2958 2908 2897 2966 3093 3214 3272 3281 3309 3341 3328 3259 3160 3104 3127 3068 2968 2901 2838 2764 2720 2750 2846
14 10 8 9 9 9 10 9 8 9 10 11 12 13 13 14 13 13 13 13 12 12 12 11 13 12 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 8 7 7 7 6 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 3 23 105 342 789 1355 1874 2264 2547 2755 2902 2943 2907 2872 2900 2998 3123 3242 3308 3365 3393 3337 3235 3098 3017 3085 3043 2994 2948 2903 2846 2843 2907 3001
16 15 12 9 9 9 9 9 9 8 9 10 11 12 13 14 13 14 13 13 12 12 12 11 13 12 10 11 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 10 10 9 9 9 9 7 7 7 7 5 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 1 7 31 141 485 1020 1569 2009 2321 2557 2748 2840 2846 2836 2868 2940 3034 3135 3227 3318 3393 3374 3303 3201 3126 3113 3026 3033 2970 2917 2920 2966 3042 3125
17 19 15 10 8 8 8 9 8 7 8 9 10 12 13 13 12 13 13 13 12 12 11 12 13 12 10 10 11 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 11 10 10 10 9 8 8 7 7 7 6 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 1 4 38 297 756 1261 1695 2034 2285 2452 2525 2589 2654 2749 2869 2975 3031 3069 3160 3354 3406 3368 3308 3242 3187 3172 3107 2977 2957 3003 3067 3140 3202
15 18 15 11 9 8 8 8 8 7 7 7 8 9 11 11 11 12 13 13 12 12 12 12 12 11 11 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 10 9 9 8 7 7 7 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 208 576 1004 1402 1733 1965 2036 2028 2157 2399 2606 2752 2870 2942 2938 3048 3274 3338 3341 3329 3304 3260 3184 3068 3013 3056 3112 3166 3215 3236
13 15 15 14 10 8 8 8 9 8 7 7 8 8 10 11 11 12 12 12 12 12 12 13 12 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 8 8 7 7 7 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 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 3 125 395 753 1122 1440 1641 1658 1666 1947 2299 2483 2568 2686 2839 2956 3113 3261 3338 3332 3332 3311 3260 3187 3108 3091 3145 3204 3235 3241 3218
11 12 14 14 12 9 8 9 9 8 7 7 7 7 7 9 10 12 12 12 12 12 12 13 12 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 10 9 8 7 7 7 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 1 0 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 37 184 458 810 1155 1409 1547 1700 2089 2463 2668 2757 2827 2937 3074 3199 3281 3374 3350 3359 3347 3293 3225 3182 3187 3243 3291 3297 3275 3222
10 11 11 13 13 10 8 8 8 7 6 6 6 7 7 8 10 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 11 11 10 10 9 8 7 7 7 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 5 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 3 41 187 476 870 1281 1638 1957 2354 2638 2766 2812 2875 2995 3141 3248 3292 3382 3345 3325 3322 3305 3277 3264 3281 3323 3341 3325 3289 3261
9 10 10 13 13 11 9 8 8 8 7 6 7 7 8 9 9 10 11 11 11 11 12 12 11 11 11 11 10 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 11 12 11 9 9 8 7 7 7 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 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 2 5 7 63 285 723 1284 1811 2217 2547 2720 2768 2795 2873 3016 3184 3310 3362 3389 3319 3272 3276 3288 3299 3315 3341 3372 3378 3354 3308 3257
10 9 9 11 12 12 11 9 9 8 7 6 7 7 8 8 9 10 10 11 11 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 11 12 10 9 8 7 7 8 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 2 8 21 37 103 341 818 1422 1986 2392 2601 2700 2737 2788 2889 3053 3238 3382 3437 3387 3283 3254 3266 3271 3291 3338 3388 3419 3431 3391 3361 3289
14 11 9 9 11 12 12 10 9 8 8 6 6 7 8 8 9 9 9 10 11 11 11 10 10 11 10 10 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 10 10 11 11 10 9 8 8 8 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 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 2 11 31 73 143 282 589 1085 1634 2124 2457 2585 2660 2719 2795 2920 3103 3294 3426 3456 3389 3289 3242 3270 3286 3306 3348 3396 3421 3418 3367 3347 3297
17 12 10 10 11 12 12 10 9 8 7 6 6 6 7 7 7 8 8 10 11 12 10 9 10 10 10 10 11 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 11 11 11 10 9 8 7 8 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 45 117 231 383 631 991 1428 1855 2234 2490 2592 2657 2724 2813 2959 3155 3343 3454 3456 3377 3279 3205 3248 3290 3325 3361 3389 3396 3384 3343 3302 3262
18 14 11 10 11 12 12 11 9 8 7 6 6 6 7 7 8 8 9 10 11 11 10 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 11 12 11 10 11 11 10 10 9 8 7 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 38 135 297 505 748 1057 1257 1545 1879 2220 2465 2565 2600 2695 2836 3005 3212 3394 3482 3460 3376 3293 3217 3308 3357 3390 3421 3438 3433 3408 3361 3288 3224
16 16 13 11 10 11 12 11 10 8 7 7 6 6 6 7 8 9 9 11 10 10 9 9 9 9 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 11 11 10 9 9 8 8 7 5 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 3 38 169 400 700 1011 1241 1145 1362 1725 2074 2308 2434 2540 2704 2900 3080 3280 3443 3504 3462 3382 3320 3254 3339 3373 3386 3411 3427 3416 3387 3357 3300 3209
16 16 15 14 10 10 11 11 10 7 6 6 6 7 8 8 9 10 10 11 10 9 8 8 9 8 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 9 8 8 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 76 290 624 963 1159 1082 1345 1788 2168 2402 2541 2670 2828 2994 3176 3356 3488 3528 3489 3413 3343 3300 3282 3315 3364 3384 3385 3368 3339 3316 3289 3201
16 17 17 16 13 10 10 10 9 8 7 7 6 6 7 8 8 9 10 10 9 8 8 9 8 8 9 9 7 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 10 11 11 11 11 11 11 11 9 8 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 95 306 628 937 1100 1412 1886 2303 2580 2734 2834 2945 3100 3282 3452 3535 3544 3526 3469 3392 3343 3313 3386 3437 3425 3405 3386 3346 3288 3247 3203
18 17 17 18 16 12 9 9 9 8 7 7 7 7 8 8 8 8 9 9 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 9 8 7 4 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 10 74 288 613 920 1318 1844 2329 2664 2849 2957 3070 3222 3401 3594 3633 3586 3559 3548 3514 3466 3447 3464 3452 3422 3390 3379 3358 3289 3208 3197
21 18 16 17 16 14 11 9 9 8 8 8 7 7 7 8 8 8 9 9 8 7 8 9 8 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 11 12 12 11 11 11 11 11 10 9 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 116 343 670 1118 1687 2251 2692 2960 3111 3236 3378 3529 3685 3750 3674 3610 3611 3606 3564 3525 3495 3452 3418 3385 3349 3353 3312 3215 3203
23 20 16 14 14 14 12 10 9 9 8 8 8 8 8 8 7 7 9 8 7 7 8 8 8 9 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 9 11 11 11 11 11 11 11 11 10 9 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 53 193 462 882 1438 2052 2623 3017 3234 3391 3545 3681 3785 3811 3724 3637 3641 3658 3615 3540 3517 3529 3448 3451 3375 3365 3335 3255 3221
22 19 16 13 11 13 13 11 10 10 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 8 7 7 7 7 7 7 8 8 7 7 7 6 6 7 8 10 10 11 10 10 11 11 11 11 10 8 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 36 130 330 673 1165 1773 2425 2899 3169 3386 3597 3774 3876 3869 3761 3687 3669 3657 3638 3594 3560 3619 3504 3538 3443 3402 3358 3300 3252
18 17 16 13 11 10 12 12 11 11 10 10 9 9 8 7 6 7 7 7 7 9 9 8 8 8 7 8 7 7 7 7 7 8 7 6 6 6 6 6 8 9 10 10 10 10 11 11 11 11 11 9 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 42 116 262 525 935 1472 2085 2568 2880 3161 3446 3711 3889 3915 3814 3748 3714 3652 3652 3638 3607 3694 3588 3612 3515 3458 3400 3341 3280
14 14 13 12 11 10 11 12 11 11 10 10 9 8 7 5 6 6 7 7 6 7 8 9 8 8 7 8 7 7 8 8 7 7 6 6 6 6 6 7 9 10 10 10 10 10 11 11 11 11 11 9 6 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 3 18 65 145 261 465 790 1223 1731 2205 2540 2863 3188 3504 3758 3874 3862 3838 3755 3646 3685 3687 3656 3730 3659 3668 3584 3522 3451 3377 3300
14 12 11 11 10 10 10 11 11 10 10 9 8 6 5 4 5 6 7 7 8 9 9 9 9 8 8 8 8 8 8 7 6 6 6 6 6 6 7 8 9 10 10 10 10 10 11 11 11 11 11 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 29 113 210 301 466 749 1125 1557 2091 2443 2756 3059 3351 3606 3788 3880 3915 3759 3633 3710 3725 3693 3724 3692 3703 3639 3578 3507 3422 3332
15 12 11 11 11 10 10 11 11 11 10 9 7 6 5 5 5 6 8 8 9 9 9 8 9 8 8 8 8 7 6 6 6 6 6 6 6 7 7 8 9 10 10 10 10 10 11 11 11 11 10 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 2 14 63 211 316 378 520 764 1095 1500 1997 2347 2641 2959 3251 3496 3702 3871 3951 3743 3641 3721 3734 3706 3709 3709 3716 3668 3613 3560 3477 3384
16 14 12 11 11 10 11 12 12 10 9 7 6 4 5 5 5 7 8 8 9 9 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 8 9 9 9 10 10 10 11 11 11 11 10 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 36 137 367 463 514 641 826 1099 1503 1988 2352 2598 2882 3160 3407 3642 3853 3940 3725 3651 3715 3727 3706 3702 3713 3710 3671 3639 3597 3526 3444
18 16 14 13 12 11 11 12 12 10 8 6 5 4 4 4 5 7 9 9 10 9 8 8 8 8 8 6 6 6 6 6 6 6 6 6 7 8 8 7 7 8 9 10 10 11 11 11 11 11 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 57 224 527 627 688 825 984 1190 1505 1920 2297 2536 2808 3123 3387 3651 3872 3904 3732 3650 3687 3704 3697 3688 3687 3680 3663 3664 3612 3578 3523
17 18 16 12 11 11 10 11 10 9 7 5 4 4 4 5 6 8 9 9 10 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 8 7 7 7 7 8 10 10 11 11 11 11 9 7 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 74 295 622 780 910 1080 1221 1336 1482 1721 2043 2339 2639 3033 3357 3660 3827 3765 3659 3607 3640 3706 3730 3701 3661 3644 3644 3659 3594 3600 3556
15 17 15 12 10 10 10 9 9 7 6 4 4 4 4 5 7 9 8 9 9 8 8 8 7 7 6 6 6 6 6 6 5 5 6 6 7 8 7 7 7 7 8 10 11 11 11 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 80 300 612 871 1115 1312 1439 1535 1637 1767 1943 2166 2466 2881 3303 3618 3731 3687 3668 3690 3723 3747 3743 3704 3649 3603 3579 3604 3568 3586 3537
14 14 13 10 8 8 9 8 7 6 4 3 3 3 4 5 7 9 8 9 9 8 8 8 7 6 6 6 6 5 5 5 4 4 6 7 7 7 7 7 7 7 9 10 10 10 9 7 4 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 49 231 543 892 1212 1457 1633 1776 1896 1963 2013 2156 2379 2758 3236 3497 3615 3680 3704 3677 3667 3711 3724 3704 3648 3551 3466 3508 3532 3543 3487
11 11 10 9 8 7 8 7 5 4 3 2 3 4 6 7 8 8 8 8 7 8 8 7 7 6 6 5 5 4 4 4 4 5 7 7 7 7 7 8 8 9 10 10 9 8 5 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 35 214 538 918 1260 1531 1744 1968 2117 2188 2250 2356 2448 2704 3071 3305 3500 3673 3766 3748 3698 3701 3732 3720 3648 3502 3362 3377 3430 3458 3424
9 8 7 7 7 7 6 5 3 2 2 2 4 5 6 7 8 8 9 9 8 8 7 7 6 5 5 4 4 4 4 4 4 4 6 7 7 7 7 7 8 9 9 7 6 4 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 44 227 526 869 1199 1511 1734 2019 2256 2422 2564 2675 2695 2815 3029 3228 3444 3672 3827 3825 3705 3660 3699 3707 3628 3457 3290 3244 3275 3336 3361
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6 6 5 5 5 5 4 3 2 1 3 4 6 8 9 9 8 8 8 8 8 7 6 6 5 4 4 3 2 3 1 1 2 4 5 6 6 6 5 6 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 156 447 748 999 1200 1382 1551 1791 2069 2351 2609 2822 2983 3119 3331 3511 3527 3611 3641 3595 3563 3569 3659 3637 3547 3398 3237 3123 3088 3138 3260
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3 4 4 5 5 7 8 8 9 10 9 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 47 137 308 514 716 922 1122 1288 1490 1688 1899 2112 2299 2425 2469 2432 2308 2197 2099 1949 1736 1481 1236
3 4 5 5 6 7 7 8 9 9 7 3 2 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 1 4 6 7 4 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 11 52 130 241 368 511 660 841 1050 1265 1483 1667 1844 2027 2207 2352 2418 2413 2325 2226 2115 1959 1751 1490 1216
3 4 6 6 6 6 6 7 9 9 7 5 3 2 1 1 1 1 2 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 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 2 6 10 11 7 1 0 0 0 0 0 0 0 0 3 6 4 0 0 0 10 55 134 227 319 400 492 578 716 916 1162 1415 1634 1816 1981 2147 2298 2376 2384 2322 2235 2123 1972 1774 1518 1200
4 4 5 4 3 3 5 7 7 8 7 6 5 4 3 3 3 4 5 4 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 1 3 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 1 3 2 0 0 0 0 0 0 0 0 2 6 5 2 0 3 14 50 126 217 302 376 445 496 542 652 834 1072 1327 1564 1775 1970 2133 2253 2313 2323 2289 2223 2123 1984 1802 1568 1187
4 3 1 1 0 1 3 4 5 5 4 4 5 5 5 6 6 7 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 33 91 176 254 338 418 477 488 528 625 783 996 1247 1519 1786 2029 2172 2241 2280 2284 2267 2218 2125 1983 1801 1585 1182
3 1 0 0 0 0 0 1 1 1 1 1 1 3 5 7 8 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 36 102 209 283 371 439 473 490 528 610 747 947 1207 1506 1767 2015 2152 2215 2248 2266 2266 2226 2127 1974 1767 1496 1139
0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 33 111 262 352 416 448 463 486 530 609 736 924 1175 1464 1706 1947 2103 2188 2229 2248 2247 2196 2079 1920 1692 1370 1059
0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 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 1 4 4 2 7 42 141 323 397 438 452 463 493 543 619 737 913 1149 1417 1641 1888 2064 2165 2208 2214 2195 2126 2000 1818 1569 1261 981
0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 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 10 26 29 13 19 70 197 379 444 456 463 483 525 587 663 791 955 1158 1381 1595 1836 2018 2128 2175 2167 2103 1985 1832 1639 1417 1178 943
0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 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 0 0 0 0 0 0 0 2 21 50 58 24 22 62 155 286 390 437 488 559 640 714 773 906 1058 1220 1396 1585 1801 1989 2111 2163 2135 2024 1853 1671 1468 1277 1098 911
0 0 0 0 1 1 0 0 0 0 0 0 1 2 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 4 2 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 4 15 30 35 16 14 28 64 123 194 248 362 537 718 863 961 1091 1187 1296 1433 1601 1796 1974 2087 2107 2042 1911 1747 1556 1351 1163 994 828
0 0 0 3 4 3 1 0 0 0 0 0 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 1 13 54 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 2 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 2 5 11 17 22 24 22 28 42 61 86 122 202 375 686 1002 1192 1305 1342 1401 1508 1659 1834 1995 2121 2094 1979 1827 1648 1452 1254 1073 907 759
0 0 0 7 7 4 2 0 0 0 0 0 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 3 44 117 46 13 2 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 4 9 17 23 22 13 1 0 0 0 0 0 0 0 0 1 2 5 2 1 2 7 15 19 17 14 15 22 31 33 37 44 52 64 86 134 267 622 1044 1360 1514 1541 1565 1631 1744 1887 2028 2151 2076 1918 1748 1581 1383 1179 1009 849 710
0 1 3 11 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 71 144 98 44 15 3 0 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 31 43 45 33 10 2 0 0 0 0 1 1 3 10 23 23 15 14 24 39 50 43 27 22 26 33 36 40 43 49 60 81 125 231 518 939 1348 1597 1680 1712 1768 1845 1949 2082 2128 2020 1837 1646 1483 1328 1148 992 821 682
1 3 7 11 11 5 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 1 15 65 144 194 152 70 17 0 0 0 0 0 0 0 0 0 4 11 11 5 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 17 19 15 4 1 0 0 1 3 4 3 8 17 28 37 29 30 43 61 75 69 36 28 29 32 36 42 48 60 83 124 193 318 526 802 1127 1442 1659 1799 1922 1984 2036 2136 2100 1972 1776 1574 1411 1299 1169 1025 843 707
0 2 8 13 12 4 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 3 55 141 216 225 135 28 0 0 0 1 1 0 0 0 1 4 14 20 20 13 6 2 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 1 3 3 2 7 10 12 17 27 46 67 86 91 74 39 29 27 31 38 47 60 84 129 200 294 400 544 726 933 1166 1431 1733 1993 2099 2124 2136 2052 1915 1727 1518 1336 1210 1099 992 829 710
0 1 7 14 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 58 138 208 227 158 25 3 1 3 8 15 11 5 2 2 4 9 19 31 38 33 19 7 1 0 2 4 7 10 10 9 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 17 41 67 83 80 52 17 11 10 19 35 54 76 114 181 277 389 485 576 690 836 1014 1232 1515 1946 2134 2164 2117 1997 1852 1679 1471 1270 1116 1013 919 786 692
0 2 7 13 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 11 16 48 118 190 217 172 61 28 22 23 30 41 34 16 5 2 4 7 13 24 37 49 57 54 36 22 22 29 31 37 36 35 34 30 18 14 10 6 5 2 0 0 0 0 0 0 0 0 0 3 13 28 40 52 56 41 6 1 4 20 47 81 113 159 232 334 453 565 655 740 844 977 1144 1348 1831 2055 2106 2053 1940 1807 1638 1437 1222 1042 952 841 736 671
1 4 12 21 8 2 0 0 0 0 0 0 0 0 2 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 5 15 14 6 1 0 0 1 3 20 37 54 83 130 180 216 217 175 121 103 95 89 81 56 23 6 0 1 4 7 12 20 30 42 52 59 62 63 61 56 55 61 69 74 71 56 41 38 36 29 17 5 1 0 0 0 0 0 0 0 2 8 16 17 25 33 29 7 7 32 69 109 149 190 234 297 387 496 612 716 805 892 994 1127 1306 1637 1901 2005 1977 1881 1774 1591 1389 1180 1003 895 770 687 648
3 11 21 24 8 2 0 0 0 0 0 0 0 2 7 13 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 63 76 56 31 12 3 2 6 28 50 63 72 98 144 177 193 203 217 201 187 162 122 72 23 4 0 0 1 1 3 7 13 20 28 41 64 82 81 70 61 65 78 88 90 80 58 58 55 57 65 65 41 15 7 7 4 4 2 1 1 3 5 7 17 18 14 20 64 124 170 209 248 292 329 382 456 548 649 753 845 927 1043 1177 1316 1523 1778 1910 1908 1820 1715 1546 1341 1145 977 844 732 665 630
6 18 19 14 5 1 0 0 0 0 0 0 0 1 6 13 15 5 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 39 84 97 73 39 17 5 1 4 16 42 65 83 103 132 162 174 185 198 189 182 155 111 58 15 2 0 0 0 0 0 2 4 8 14 23 43 66 74 71 65 66 76 85 94 92 76 63 68 89 116 134 131 100 75 56 42 32 22 16 13 9 6 9 26 17 26 77 171 257 290 308 337 381 413 465 533 613 701 794 892 968 1092 1230 1359 1502 1685 1816 1851 1784 1649 1501 1295 1111 953 819 715 652 604
8 16 11 5 2 0 0 0 0 0 0 0 0 0 2 5 6 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 35 64 69 50 24 10 3 0 1 2 16 37 61 86 115 149 131 121 117 110 105 87 59 28 5 0 0 0 0 0 0 2 6 11 14 18 25 37 51 65 77 88 99 107 117 117 100 82 85 96 111 129 146 160 152 141 126 105 84 70 60 45 34 40 60 51 72 145 261 375 394 403 423 458 494 549 616 694 783 887 1009 1037 1140 1271 1394 1503 1624 1735 1778 1726 1592 1441 1235 1050 896 775 686 627 569
4 5 4 1 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 35 66 77 67 44 21 4 0 0 1 5 22 47 77 106 133 118 95 77 67 59 48 31 14 3 0 0 0 0 0 0 3 11 24 37 42 39 36 44 64 90 116 136 141 146 142 130 125 122 119 119 120 126 151 180 194 194 182 166 151 137 110 92 98 115 111 147 233 352 458 463 502 532 559 594 645 707 787 896 1016 1114 1120 1186 1282 1388 1490 1586 1664 1674 1622 1515 1362 1165 984 836 726 646 582 528
0 0 1 2 1 0 0 0 0 0 0 0 0 1 3 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 6 44 99 136 147 132 103 24 3 2 6 16 31 53 86 125 161 160 131 106 86 71 55 37 20 9 3 1 0 0 0 0 3 11 38 65 86 92 84 82 93 113 134 151 154 157 156 156 160 161 159 163 174 176 155 174 181 187 194 197 193 187 169 161 171 192 200 241 323 421 499 531 585 630 670 712 760 816 900 1033 1157 1202 1203 1233 1299 1389 1484 1565 1632 1611 1539 1426 1268 1075 900 767 671 599 530 486
0 1 4 5 3 1 0 0 0 0 0 0 0 2 5 5 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 8 36 90 148 189 200 167 59 32 60 90 98 90 85 94 113 148 205 201 182 156 125 95 74 52 34 22 15 9 4 1 0 2 8 37 74 112 138 144 137 132 133 138 144 149 158 164 171 180 191 201 209 223 219 187 180 172 167 169 175 181 190 193 201 223 256 287 321 370 434 492 536 601 670 741 808 867 917 994 1103 1192 1223 1226 1251 1306 1381 1462 1539 1620 1580 1486 1347 1169 972 807 689 611 550 478 431
2 4 7 9 7 3 0 0 0 0 0 0 1 3 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 32 69 111 149 161 120 65 134 213 249 225 163 128 104 112 150 197 224 214 186 160 148 117 94 81 72 61 42 30 22 22 29 47 84 122 150 164 162 149 139 134 138 152 166 177 190 206 226 250 258 241 219 204 202 181 152 141 149 171 186 188 202 229 262 285 279 271 305 374 446 538 636 736 830 908 963 1032 1117 1188 1231 1250 1265 1296 1344 1399 1454 1526 1510 1420 1265 1067 863 715 615 542 478 404 346
7 10 8 7 6 3 1 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 4 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 3 9 26 60 102 125 84 204 311 351 316 231 174 113 106 145 186 215 227 231 237 245 224 209 206 211 212 196 162 130 99 81 85 97 118 138 151 152 141 129 129 142 163 181 200 223 251 283 311 300 275 253 235 215 191 166 152 162 186 195 195 208 226 239 237 217 218 246 294 363 462 572 684 794 893 974 1047 1122 1189 1245 1285 1303 1297 1308 1335 1372 1413 1397 1310 1159 968 774 634 541 465 394 319 250
28 31 23 14 6 3 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 12 19 26 26 20 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 38 75 92 102 239 328 328 276 209 169 131 113 124 170 228 263 293 305 312 314 301 290 297 306 298 258 210 166 141 136 134 135 139 144 145 138 129 128 140 159 180 208 244 282 317 338 323 312 296 286 279 263 223 204 203 213 222 228 240 247 245 230 212 215 238 277 332 406 503 613 727 842 956 1061 1135 1206 1276 1337 1371 1335 1309 1293 1287 1281 1252 1170 1033 856 671 547 460 382 306 230 158
93 96 71 39 16 6 2 0 0 0 0 1 2 1 0 0 0 0 0 0 0 1 1 3 6 12 18 20 25 29 38 42 37 24 9 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 1 6 34 57 57 89 219 302 251 181 128 110 113 130 124 115 128 195 283 331 341 325 289 241 214 203 199 187 186 192 203 211 207 191 172 159 152 148 137 127 125 133 151 180 222 266 300 316 313 321 322 317 311 304 291 257 242 245 253 256 262 271 276 276 273 273 282 300 328 366 420 497 599 728 877 1027 1128 1216 1295 1361 1397 1366 1342 1296 1236 1178 1120 1041 931 787 626 485 383 299 224 154 92
127 150 126 85 42 21 11 4 1 0 0 3 4 2 1 0 0 0 0 0 0 1 9 23 39 54 55 43 31 28 38 44 46 44 36 17 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 19 35 85 158 199 143 93 62 51 54 67 67 73 99 149 196 238 242 221 189 146 106 82 81 106 150 206 241 260 261 241 206 179 161 149 138 121 112 111 121 141 172 212 249 274 290 317 335 338 326 306 288 283 275 268 261 251 248 265 290 319 343 352 336 322 319 330 351 388 464 590 753 930 1073 1183 1280 1375 1447 1397 1330 1258 1178 1094 1013 944 858 749 619 470 337 240 167 107 57
59 94 95 91 78 59 40 23 10 4 3 9 10 8 5 2 0 0 0 0 0 0 13 37 66 90 92 66 48 43 51 59 65 70 63 39 15 5 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 17 44 68 75 58 39 27 20 18 21 26 35 49 69 97 111 108 97 81 60 40 32 41 70 121 188 228 249 253 241 217 192 169 148 130 118 112 109 112 122 139 174 207 245 285 322 337 329 312 294 283 292 300 292 268 235 212 228 270 322 363 369 337 307 295 299 317 346 398 504 658 838 1007 1134 1246 1372 1471 1419 1298 1190 1091 997 913 857 784 680 553 414 285 188 121 75 41
13 31 62 73 92 87 65 43 30 24 21 23 25 19 14 9 5 2 0 0 0 1 9 29 55 81 99 97 93 96 95 94 89 80 73 60 41 19 7 1 0 0 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 1 9 19 25 24 19 19 17 12 7 5 6 10 18 27 34 37 38 38 35 29 21 19 25 45 80 126 163 185 195 198 196 188 170 150 134 123 119 117 117 122 138 173 209 254 293 313 300 260 242 251 286 342 381 358 302 239 195 202 254 307 338 331 299 276 275 290 316 348 398 490 625 791 963 1103 1220 1348 1441 1422 1296 1159 1043 945 858 782 704 603 483 353 231 145 88 50 25
9 9 8 5 8 22 29 31 38 50 47 38 33 27 21 16 12 9 6 5 3 3 7 18 37 57 78 95 88 106 121 123 107 82 92 113 119 97 60 30 12 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 17 16 12 9 13 16 10 4 1 1 4 8 12 15 16 17 18 18 16 13 11 14 24 40 61 85 106 121 133 144 151 150 145 138 131 124 120 122 133 156 193 232 264 276 264 228 185 184 229 293 342 370 355 303 240 192 190 226 257 273 270 255 252 274 310 349 382 434 517 632 773 927 1071 1192 1307 1385 1389 1298 1166 1040 923 815 716 628 540 436 315 195 115 67 37 19
6 3 1 0 0 1 2 9 23 44 45 35 29 27 25 22 18 15 11 7 9 10 15 25 40 54 73 87 91 121 149 159 148 127 138 183 212 208 172 116 60 22 4 0 0 0 0 1 3 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 5 4 5 10 13 7 2 0 0 1 2 4 6 10 11 12 12 11 8 7 8 13 19 26 35 45 57 69 81 93 106 115 120 119 116 113 121 141 168 199 227 236 226 200 167 144 154 205 275 331 333 273 228 202 185 170 166 170 177 187 199 224 282 352 417 466 502 556 636 741 868 998 1121 1220 1286 1305 1263 1153 1013 872 747 646 561 487 397 288 173 102 68 44 26
2 1 1 0 0 0 0 2 7 16 26 25 24 24 24 23 16 10 6 5 14 21 33 46 59 65 78 93 116 155 187 203 208 205 209 234 258 275 267 227 154 77 30 10 1 2 4 11 21 32 29 16 6 1 0 0 0 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 2 4 4 2 1 0 0 0 0 0 0 1 6 8 9 8 6 5 6 8 10 11 12 13 18 26 35 44 56 67 75 81 86 93 107 132 158 180 195 193 176 153 133 128 145 180 218 248 262 253 219 188 166 147 130 122 127 145 178 226 311 381 426 450 472 506 561 641 741 849 999 1102 1165 1186 1160 1070 954 828 705 598 506 436 362 273 174 106 71 41 19
2 2 2 1 0 0 0 0 2 8 15 17 18 18 17 15 11 4 2 10 24 37 54 72 85 90 88 104 136 175 211 233 241 245 248 251 255 268 282 278 243 174 118 78 55 51 45 48 61 78 83 43 21 11 8 7 7 7 7 4 1 0 2 3 3 2 1 0 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 1 1 2 2 2 2 2 3 3 2 2 4 8 13 18 23 28 33 39 47 59 74 92 112 132 145 148 138 123 113 113 120 138 152 157 154 144 138 136 130 120 110 112 134 172 226 297 395 458 484 483 478 491 521 552 610 738 897 990 1042 1056 1031 951 840 762 676 568 467 398 343 281 209 140 103 93 77
3 3 3 2 1 0 0 0 1 4 8 10 10 12 12 11 10 8 13 28 46 62 77 94 107 111 109 119 148 181 213 236 245 252 264 278 286 268 261 265 272 271 259 222 184 151 117 97 102 124 137 100 57 37 29 26 22 20 16 12 8 7 12 16 17 14 10 10 12 14 11 8 5 2 0 0 0 0 0 0 0 0 0 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 2 4 5 7 8 11 16 22 28 35 44 56 69 82 90 92 90 89 91 95 102 104 101 95 89 88 100 105 101 97 111 147 194 256 333 414 461 482 487 486 490 539 610 694 782 864 918 946 945 905 809 704 661 619 555 475 402 349 315 270 186 137 106 75
3 3 4 4 3 1 0 0 1 2 7 11 12 12 14 16 19 24 36 58 78 90 95 99 109 118 131 146 151 164 186 213 240 262 307 348 369 343 288 259 268 308 358 341 294 233 172 127 124 154 177 165 107 78 62 52 45 41 34 29 27 31 43 51 49 41 30 27 31 33 32 27 18 8 2 0 0 0 0 0 0 0 1 4 5 4 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 1 1 2 5 8 11 13 16 21 26 32 40 48 54 58 62 67 72 74 72 69 68 72 84 89 93 102 124 163 212 269 331 386 412 423 431 451 498 607 705 777 825 871 908 922 907 841 714 638 607 590 564 513 432 372 346 321 268 225 181 129
5 4 4 4 3 2 1 1 1 1 6 11 14 15 18 24 34 45 63 90 110 116 110 102 103 118 145 155 138 134 156 195 244 290 350 365 384 386 338 263 235 259 318 365 336 283 215 162 142 176 191 189 166 136 107 88 77 74 71 67 68 75 87 89 76 54 33 24 23 27 30 29 22 10 3 0 2 5 7 6 5 3 1 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 1 2 4 5 7 9 11 15 20 28 36 42 50 60 70 75 76 74 73 78 88 104 126 153 182 209 240 271 300 322 337 353 379 424 495 595 679 772 853 897 891 891 892 843 740 693 665 640 610 562 484 427 379 342 310 278 232 175
5 4 3 3 3 2 2 4 5 6 8 11 15 19 26 35 49 67 88 112 136 135 122 108 103 121 146 140 122 121 152 214 276 300 275 213 225 261 273 225 158 148 185 246 272 269 236 194 165 173 145 138 143 144 129 113 104 104 110 112 114 113 103 85 57 32 16 9 6 8 12 14 11 6 2 2 9 18 23 18 12 6 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 10 12 14 18 23 30 37 44 59 77 94 102 99 90 84 83 90 114 152 198 245 270 254 244 240 241 249 272 311 374 464 575 692 803 881 908 884 904 953 945 882 865 831 761 689 621 551 487 422 370 334 304 265 212
6 5 3 2 2 2 4 8 14 17 17 14 15 25 37 50 65 85 104 123 142 146 134 123 124 142 157 145 133 141 182 266 339 261 130 67 69 126 180 187 110 72 67 89 130 179 209 196 157 113 69 53 58 80 110 123 122 122 127 131 128 109 80 51 25 11 6 6 6 5 5 4 2 1 1 3 9 16 19 15 9 4 3 3 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 3 7 10 14 17 20 24 29 33 36 44 62 84 105 115 108 96 91 93 100 132 179 220 246 261 211 173 149 143 154 184 224 288 376 480 601 718 813 877 908 949 1008 1030 1016 997 941 839 744 665 598 524 462 411 367 326 287 232
8 7 6 4 2 2 4 8 16 20 20 16 16 30 46 61 75 89 116 135 148 157 161 163 169 178 182 176 167 190 253 353 433 253 106 60 73 134 187 190 135 64 34 26 37 66 109 142 136 107 82 64 58 72 102 133 134 132 129 123 108 80 54 32 17 9 12 15 16 14 10 6 3 2 1 2 4 6 5 5 2 1 0 1 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 4 7 9 12 14 14 17 18 18 20 28 44 61 75 80 78 81 90 108 136 174 205 214 201 164 118 83 64 65 83 115 155 208 281 375 478 585 690 785 863 920 975 1024 1051 1041 980 885 786 698 626 552 496 449 403 356 320 260
9 9 7 5 2 1 2 4 10 18 23 21 22 35 55 73 87 100 122 147 152 166 194 222 226 228 229 226 215 251 328 424 493 348 187 107 100 124 185 231 192 91 42 18 11 18 39 72 94 108 113 108 106 117 132 148 154 154 140 118 92 65 44 28 18 15 22 27 28 26 22 16 10 8 6 5 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 2 3 4 4 5 5 5 7 8 11 15 21 25 29 32 40 62 83 110 142 177 173 137 94 57 33 22 22 35 60 95 134 178 239 317 407 505 605 702 789 855 915 976 1028 1056 1041 957 857 762 680 597 532 480 427 374 338 268
10 11 9 7 4 2 1 3 8 17 28 24 27 41 59 78 94 107 123 158 167 190 220 251 253 253 242 233 232 255 321 399 440 391 299 242 198 171 189 245 197 113 69 34 14 6 11 27 56 88 114 131 142 158 179 199 207 196 160 122 87 58 36 23 17 18 25 32 33 32 29 24 18 15 13 10 8 7 7 5 4 3 3 2 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 1 3 4 10 14 17 15 9 4 4 8 19 38 58 78 93 96 64 35 14 3 0 2 12 35 70 108 149 190 239 301 376 462 545 624 697 757 814 879 947 1012 1061 1044 959 858 756 655 564 493 434 385 343 279