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//Example 6.3: clc; clear; close; //given data : format('v',4) a=5.6*10^-6/2;// channel width in m epsilon0=8.86*10^-12;// in F/m epsilon=12*epsilon0;// in F/m Nd=10^21;// in m^-3 e=1.6*10^-19;// in V Vp=e*Nd*a^2/(2*epsilon); disp(Vp,"Pinch off voltage,Vp(V) = ")
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Eg=400//emf generated n=80//no. of slots on armature c=10//conductors per slot Z=n*c//total no. of conductors on armature N=1000//speed in rpm phi=60*Eg/(N*Z) Eg=220//desired value of generated voltage N=60*Eg/(phi*Z) mprintf("Speed of rotation to generate 220 V=%f rpm\n", round(N))
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n =4; mo = 2; X = [4.2 1.8 5.3 1.7]; t =3; tstar= min(t, (n*(n+1)/2) - t); P = zeros(4,4); P(1,1)= 0.5; P(1,2) = 1; P(1,3) = 1; P(1,4) = 1; for i=2:4 for j = 1:4 if (j-i <1) P(i,j) = 0.5*P(i-1, j); //disp(j,i); //disp(P(i,j)) else P(i,j) = 0.5*(P(i-1,j-i)+P(i-1,j)); end end end disp(P)
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exec('quantum.sci', -1) //Given that L = 100*10^-12 //in m Uo = 450*conv //in ev l = 2*10^-9 //in m //Sample Problem 40-4a printf("**Sample Prblem 40-4a**\n") E1 = Ediff(1, 0, Me, L) E = Uo - E1 lambda = wavelength(E) printf("The wavelength of the free electron is %1.2fnm\n", lambda*10^9) //Sample Problem 40-4b printf("\n**Sample Prblem 40-4b**\n") E2 = Energy(l) K = E2 - E printf("The electron energy is %1.2fev", K/conv)
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clc; close; clear; Cgate=1+1; Cinv=1+2; LEf=Cgate/Cinv; LEr=2*Cgate/Cinv; LE=(LEf+LEr)/2; disp(LEf,'Falling case Logical effort='); disp(LEr,'Rising case Logical effort='); disp(LE,'Average logical effort=');
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//exapple 1.17 clc; funcprot(0); // Initialization of Variable time=10*3600+30*60; GMN=-14*60-10; changeET=1*1.5; neterr=GMN+changeET; GAT=time+neterr; hr=round(GAT/3600); b=GAT-hr*3600; mi=round(b/60-1); c=GAT-hr*3600-mi*60; disp("GAT is" ); disp(hr,"hours"); disp(mi,"minutes"); disp(c,"seconds");
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//Chapter 8 //Example 8_27 //Page 196 clear;clc; c=8; l=300; s=10; slope=15; printf("On level ground: \n") wbyt=8*s/l^2; h=s+c; printf("Height of tower = %d m \n\n", h); printf("On sloping ground: \n"); hs=l/slope; printf("Vertical distance between two towers = %d m \n", hs); x1=75; x2=225; printf("From the graph: \nx1 = 75m, x2 = 225m \n"); s1=wbyt*x1^2/2; s2=wbyt*x2^2/2; printf("S1 = %.2f m \n", s1); printf("S2 = %.2f m \n", s2); cl=38-s2-5; printf("Clearance = %.2f m \n", cl); x=75; //minimum clearance minc=8; printf("x = %d m \n", x); printf("Minimum clearance = %d m \n", minc);
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// Exa 7.8 format('v',7) clc; clear; close; // Given data R = 100;// in k ohm R = R * 10^3;// in ohm C = 2;// in µF C = C * 10^-6;// in F f = 10;// in kHz f = f * 10^3;// in Hz omega = 2*%pi*f;// in Krad // The open loop voltage gain, A = R*omega*C; disp(A,"The open loop voltage gain is"); format('e',9) //The feedback function, B is evaluated as, A_F = -R/Z_C*( 1/(1+(1/(A*B))) ); B = 1/( sqrt( 1+((R*omega*C)^2) ) ); disp(B,"The feed back function is"); format('v',7) //A_F = -R/Z_C*(1/( 1+(1/(A*B)) )); Av = 10^3; A_F = round(A*(1/(1+(1/(Av*B))))); disp(A_F,"The overall gain is"); // Note: The open loop voltage gain in the book is not accurate.
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// Exa 2.13 clc; clear; // Given data // Refering Fig. 2.24 we get, B=100; // Current gain Vbe=0.7; // Volts Vcc=5; // Volts R1= 10*10^3; // Ω // Solution printf(' Referring to circuit shown in Fig. 2.24 and using KVL we get Iref as ' ); // KVL for loop 1 // Vcc-Vbe-R1*Iref+Vcc = 0; // Therefore Iref= (2*Vcc-Vbe)/R1; printf(' %.2f mA. \n',Iref*1000); // At emitter node E., Iref=2*Ie (Assuming identical transistors //Then; Ic= B*Iref/(2*(1+B)); printf(' Due to mirror effect, Io = Ic1 = Ic = %0.2f mA. \n ',Ic*1000);
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function v=isdef(variablename) v=exists(variablename)==1
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function I = ajeita(I) // I = I - min(I); I = I / max(I); I = round(I*255+1); endfunction
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// solid time yData = [] xData = [] solid = 0:1:1 slopSolid = 10 //y=mx solidY = slopSolid*solid xData = [xData solid] yData = [yData solidY] melting = solid($):1:10; meltY = ones(1,length(melting))*solidY($) xData = [xData melting]; yData = [yData meltY] liquid = 0.1:0.1:1 //y=mx slopLiquid = 12 liquidY = liquid*slopLiquid*yData($) xData = [xData melting($):0.1:melting($)+1-0.1] yData = [yData liquidY] plot2d(xData,yData)
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EXAMPLE5_29.SCE
//ANALOG AND DIGITAL COMMUNICATION //BY Dr.SANJAY SHARMA //CHAPTER 5 //ANGLE MODULATION clear all; clc; printf("EXAMPLE 5.29(PAGENO 256)"); //given delta_f = 75*10^3//frequency deviation f_m = 15*10^3//modulating frequency //calculations D = delta_f/f_m//deviation ratio BW1 = 2*delta_f*(1+(1/D))//bandwidth of FM signal //using universal curve, replacing m_f by D,we get BW2 = 3.2*delta_f//for D = 5=3.2*75*10^3 BW = (BW2-BW1)*100/BW2//percentage of under estimation of bandwidth by using carson's rule //results printf("\n\ni.Bandwidth of FM signal = %.2f Hz",BW1); printf("\n\nii.Bandwidth obtained by replacing m_f by D = %.2f Hz",BW2); printf("\n\niii.Percentage of under estimation of bandwidth by using Carson rule = %.2f percent",BW); disp("It means that cason s rule under estimates the band-width by 25% as compared with the resulat obtained from the universal curve.");
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//************************** GND out (Macro block) ******************************** if(blk_name.entries(bl)=='gnd_o') then for ss=1:scs_m.objs(bl).model.ipar(1) cap_info = cap_info2(cap_info,pass_num,'fb_gndout_net"+string(blk(blk_objs(bl),2))+"_"+string(ss)+"', bl) mputl("#GND_OUT "+string(bl),fd_w); mputl(".subckt gnd_out in[0]=fb_gndout_net"+string(blk(blk_objs(bl),2))+"_"+string(ss)+" in[1]=net"+string(blk(blk_objs(bl),2))+"_"+string(ss)+" out[0]=fb_gndout_net"+string(blk(blk_objs(bl),2))+"_"+string(ss)+" #gnd_out_c =0",fd_w); mputl(' ',fd_w); end end
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//ch 2 ex 2.1 solving using newton's method. clc disp("the soln of eqn 2.1--> Newton Method"); x=.5 //initial value xnew=0 e=1 while e>10^-4 do x=xnew,function y=Fa(x), y=x^3-5*x+1; //defining fn endfunction der=derivative(Fa,x), //differentiating the fn xnew=x-Fa(x)/der, e=abs(xnew-x), end disp(xnew,"the root of the eqn is");
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2787 --- 1 2768 2767 2787 --- 1 2768 2787 2788 --- 1 2769 2768 2788 --- 1 2769 2788 2789 --- 1 2770 2769 2789 --- 1 2770 2789 2790 --- 1 2771 2770 2790 --- 1 2771 2790 2791 --- 1 2752 2771 2791 --- 1 2752 2791 2772 --- 1 2773 2772 2792 --- 1 2773 2792 2793 --- 1 2774 2773 2793 --- 1 2774 2793 2794 --- 1 2775 2774 2794 --- 1 2775 2794 2795 --- 1 2776 2775 2795 --- 1 2776 2795 2796 --- 1 2777 2776 2796 --- 1 2777 2796 2797 --- 1 2778 2777 2797 --- 1 2778 2797 2798 --- 1 2779 2778 2798 --- 1 2779 2798 2799 --- 1 2780 2779 2799 --- 1 2780 2799 2800 --- 1 2781 2780 2800 --- 1 2781 2800 2801 --- 1 2782 2781 2801 --- 1 2782 2801 2802 --- 1 2783 2782 2802 --- 1 2783 2802 2803 --- 1 2784 2783 2803 --- 1 2784 2803 2804 --- 1 2785 2784 2804 --- 1 2785 2804 2805 --- 1 2786 2785 2805 --- 1 2786 2805 2806 --- 1 2787 2786 2806 --- 1 2787 2806 2807 --- 1 2788 2787 2807 --- 1 2788 2807 2808 --- 1 2789 2788 2808 --- 1 2789 2808 2809 --- 1 2790 2789 2809 --- 1 2790 2809 2810 --- 1 2791 2790 2810 --- 1 2791 2810 2811 --- 1 2772 2791 2811 --- 1 2772 2811 2792 --- 1 2793 2792 2812 --- 1 2793 2812 2813 --- 1 2794 2793 2813 --- 1 2794 2813 2814 --- 1 2795 2794 2814 --- 1 2795 2814 2815 --- 1 2796 2795 2815 --- 1 2796 2815 2816 --- 1 2797 2796 2816 --- 1 2797 2816 2817 --- 1 2798 2797 2817 --- 1 2798 2817 2818 --- 1 2799 2798 2818 --- 1 2799 2818 2819 --- 1 2800 2799 2819 --- 1 2800 2819 2820 --- 1 2801 2800 2820 --- 1 2801 2820 2821 --- 1 2802 2801 2821 --- 1 2802 2821 2822 --- 1 2803 2802 2822 --- 1 2803 2822 2823 --- 1 2804 2803 2823 --- 1 2804 2823 2824 --- 1 2805 2804 2824 --- 1 2805 2824 2825 --- 1 2806 2805 2825 --- 1 2806 2825 2826 --- 1 2807 2806 2826 --- 1 2807 2826 2827 --- 1 2808 2807 2827 --- 1 2808 2827 2828 --- 1 2809 2808 2828 --- 1 2809 2828 2829 --- 1 2810 2809 2829 --- 1 2810 2829 2830 --- 1 2811 2810 2830 --- 1 2811 2830 2831 --- 1 2792 2811 2831 --- 1 2792 2831 2812 --- 1 2813 2812 2832 --- 1 2813 2832 2833 --- 1 2814 2813 2833 --- 1 2814 2833 2834 --- 1 2815 2814 2834 --- 1 2815 2834 2835 --- 1 2816 2815 2835 --- 1 2816 2835 2836 --- 1 2817 2816 2836 --- 1 2817 2836 2837 --- 1 2818 2817 2837 --- 1 2818 2837 2838 --- 1 2819 2818 2838 --- 1 2819 2838 2839 --- 1 2820 2819 2839 --- 1 2820 2839 2840 --- 1 2821 2820 2840 --- 1 2821 2840 2841 --- 1 2822 2821 2841 --- 1 2822 2841 2842 --- 1 2823 2822 2842 --- 1 2823 2842 2843 --- 1 2824 2823 2843 --- 1 2824 2843 2844 --- 1 2825 2824 2844 --- 1 2825 2844 2845 --- 1 2826 2825 2845 --- 1 2826 2845 2846 --- 1 2827 2826 2846 --- 1 2827 2846 2847 --- 1 2828 2827 2847 --- 1 2828 2847 2848 --- 1 2829 2828 2848 --- 1 2829 2848 2849 --- 1 2830 2829 2849 --- 1 2830 2849 2850 --- 1 2831 2830 2850 --- 1 2831 2850 2851 --- 1 2812 2831 2851 --- 1 2812 2851 2832 --- 1 2833 2832 2852 --- 1 2833 2852 2853 --- 1 2834 2833 2853 --- 1 2834 2853 2854 --- 1 2835 2834 2854 --- 1 2835 2854 2855 --- 1 2836 2835 2855 --- 1 2836 2855 2856 --- 1 2837 2836 2856 --- 1 2837 2856 2857 --- 1 2838 2837 2857 --- 1 2838 2857 2858 --- 1 2839 2838 2858 --- 1 2839 2858 2859 --- 1 2840 2839 2859 --- 1 2840 2859 2860 --- 1 2841 2840 2860 --- 1 2841 2860 2861 --- 1 2842 2841 2861 --- 1 2842 2861 2862 --- 1 2843 2842 2862 --- 1 2843 2862 2863 --- 1 2844 2843 2863 --- 1 2844 2863 2864 --- 1 2845 2844 2864 --- 1 2845 2864 2865 --- 1 2846 2845 2865 --- 1 2846 2865 2866 --- 1 2847 2846 2866 --- 1 2847 2866 2867 --- 1 2848 2847 2867 --- 1 2848 2867 2868 --- 1 2849 2848 2868 --- 1 2849 2868 2869 --- 1 2850 2849 2869 --- 1 2850 2869 2870 --- 1 2851 2850 2870 --- 1 2851 2870 2871 --- 1 2832 2851 2871 --- 1 2832 2871 2852 --- 1 2853 2852 2872 --- 1 2853 2872 2873 --- 1 2854 2853 2873 --- 1 2854 2873 2874 --- 1 2855 2854 2874 --- 1 2855 2874 2875 --- 1 2856 2855 2875 --- 1 2856 2875 2876 --- 1 2857 2856 2876 --- 1 2857 2876 2877 --- 1 2858 2857 2877 --- 1 2858 2877 2878 --- 1 2859 2858 2878 --- 1 2859 2878 2879 --- 1 2860 2859 2879 --- 1 2860 2879 2880 --- 1 2861 2860 2880 --- 1 2861 2880 2881 --- 1 2862 2861 2881 --- 1 2862 2881 2882 --- 1 2863 2862 2882 --- 1 2863 2882 2883 --- 1 2864 2863 2883 --- 1 2864 2883 2884 --- 1 2865 2864 2884 --- 1 2865 2884 2885 --- 1 2866 2865 2885 --- 1 2866 2885 2886 --- 1 2867 2866 2886 --- 1 2867 2886 2887 --- 1 2868 2867 2887 --- 1 2868 2887 2888 --- 1 2869 2868 2888 --- 1 2869 2888 2889 --- 1 2870 2869 2889 --- 1 2870 2889 2890 --- 1 2871 2870 2890 --- 1 2871 2890 2891 --- 1 2852 2871 2891 --- 1 2852 2891 2872 --- 1 2873 2872 2892 --- 1 2873 2892 2893 --- 1 2874 2873 2893 --- 1 2874 2893 2894 --- 1 2875 2874 2894 --- 1 2875 2894 2895 --- 1 2876 2875 2895 --- 1 2876 2895 2896 --- 1 2877 2876 2896 --- 1 2877 2896 2897 --- 1 2878 2877 2897 --- 1 2878 2897 2898 --- 1 2879 2878 2898 --- 1 2879 2898 2899 --- 1 2880 2879 2899 --- 1 2880 2899 2900 --- 1 2881 2880 2900 --- 1 2881 2900 2901 --- 1 2882 2881 2901 --- 1 2882 2901 2902 --- 1 2883 2882 2902 --- 1 2883 2902 2903 --- 1 2884 2883 2903 --- 1 2884 2903 2904 --- 1 2885 2884 2904 --- 1 2885 2904 2905 --- 1 2886 2885 2905 --- 1 2886 2905 2906 --- 1 2887 2886 2906 --- 1 2887 2906 2907 --- 1 2888 2887 2907 --- 1 2888 2907 2908 --- 1 2889 2888 2908 --- 1 2889 2908 2909 --- 1 2890 2889 2909 --- 1 2890 2909 2910 --- 1 2891 2890 2910 --- 1 2891 2910 2911 --- 1 2872 2891 2911 --- 1 2872 2911 2892 --- 1 2893 2892 2912 --- 1 2893 2912 2913 --- 1 2894 2893 2913 --- 1 2894 2913 2914 --- 1 2895 2894 2914 --- 1 2895 2914 2915 --- 1 2896 2895 2915 --- 1 2896 2915 2916 --- 1 2897 2896 2916 --- 1 2897 2916 2917 --- 1 2898 2897 2917 --- 1 2898 2917 2918 --- 1 2899 2898 2918 --- 1 2899 2918 2919 --- 1 2900 2899 2919 --- 1 2900 2919 2920 --- 1 2901 2900 2920 --- 1 2901 2920 2921 --- 1 2902 2901 2921 --- 1 2902 2921 2922 --- 1 2903 2902 2922 --- 1 2903 2922 2923 --- 1 2904 2903 2923 --- 1 2904 2923 2924 --- 1 2905 2904 2924 --- 1 2905 2924 2925 --- 1 2906 2905 2925 --- 1 2906 2925 2926 --- 1 2907 2906 2926 --- 1 2907 2926 2927 --- 1 2908 2907 2927 --- 1 2908 2927 2928 --- 1 2909 2908 2928 --- 1 2909 2928 2929 --- 1 2910 2909 2929 --- 1 2910 2929 2930 --- 1 2911 2910 2930 --- 1 2911 2930 2931 --- 1 2892 2911 2931 --- 1 2892 2931 2912 --- 1 2913 2912 2932 --- 1 2913 2932 2933 --- 1 2914 2913 2933 --- 1 2914 2933 2934 --- 1 2915 2914 2934 --- 1 2915 2934 2935 --- 1 2916 2915 2935 --- 1 2916 2935 2936 --- 1 2917 2916 2936 --- 1 2917 2936 2937 --- 1 2918 2917 2937 --- 1 2918 2937 2938 --- 1 2919 2918 2938 --- 1 2919 2938 2939 --- 1 2920 2919 2939 --- 1 2920 2939 2940 --- 1 2921 2920 2940 --- 1 2921 2940 2941 --- 1 2922 2921 2941 --- 1 2922 2941 2942 --- 1 2923 2922 2942 --- 1 2923 2942 2943 --- 1 2924 2923 2943 --- 1 2924 2943 2944 --- 1 2925 2924 2944 --- 1 2925 2944 2945 --- 1 2926 2925 2945 --- 1 2926 2945 2946 --- 1 2927 2926 2946 --- 1 2927 2946 2947 --- 1 2928 2927 2947 --- 1 2928 2947 2948 --- 1 2929 2928 2948 --- 1 2929 2948 2949 --- 1 2930 2929 2949 --- 1 2930 2949 2950 --- 1 2931 2930 2950 --- 1 2931 2950 2951 --- 1 2912 2931 2951 --- 1 2912 2951 2932 --- 1 2933 2932 2952 --- 1 2933 2952 2953 --- 1 2934 2933 2953 --- 1 2934 2953 2954 --- 1 2935 2934 2954 --- 1 2935 2954 2955 --- 1 2936 2935 2955 --- 1 2936 2955 2956 --- 1 2937 2936 2956 --- 1 2937 2956 2957 --- 1 2938 2937 2957 --- 1 2938 2957 2958 --- 1 2939 2938 2958 --- 1 2939 2958 2959 --- 1 2940 2939 2959 --- 1 2940 2959 2960 --- 1 2941 2940 2960 --- 1 2941 2960 2961 --- 1 2942 2941 2961 --- 1 2942 2961 2962 --- 1 2943 2942 2962 --- 1 2943 2962 2963 --- 1 2944 2943 2963 --- 1 2944 2963 2964 --- 1 2945 2944 2964 --- 1 2945 2964 2965 --- 1 2946 2945 2965 --- 1 2946 2965 2966 --- 1 2947 2946 2966 --- 1 2947 2966 2967 --- 1 2948 2947 2967 --- 1 2948 2967 2968 --- 1 2949 2948 2968 --- 1 2949 2968 2969 --- 1 2950 2949 2969 --- 1 2950 2969 2970 --- 1 2951 2950 2970 --- 1 2951 2970 2971 --- 1 2932 2951 2971 --- 1 2932 2971 2952 --- 1 2953 2952 2732 --- 1 2953 2732 2733 --- 1 2954 2953 2733 --- 1 2954 2733 2734 --- 1 2955 2954 2734 --- 1 2955 2734 2735 --- 1 2956 2955 2735 --- 1 2956 2735 2736 --- 1 2957 2956 2736 --- 1 2957 2736 2737 --- 1 2958 2957 2737 --- 1 2958 2737 2738 --- 1 2959 2958 2738 --- 1 2959 2738 2739 --- 1 2960 2959 2739 --- 1 2960 2739 2740 --- 1 2961 2960 2740 --- 1 2961 2740 2741 --- 1 2962 2961 2741 --- 1 2962 2741 2742 --- 1 2963 2962 2742 --- 1 2963 2742 2743 --- 1 2964 2963 2743 --- 1 2964 2743 2744 --- 1 2965 2964 2744 --- 1 2965 2744 2745 --- 1 2966 2965 2745 --- 1 2966 2745 2746 --- 1 2967 2966 2746 --- 1 2967 2746 2747 --- 1 2968 2967 2747 --- 1 2968 2747 2748 --- 1 2969 2968 2748 --- 1 2969 2748 2749 --- 1 2970 2969 2749 --- 1 2970 2749 2750 --- 1 2971 2970 2750 --- 1 2971 2750 2751 --- 1 2952 2971 2751 --- 1 2952 2751 2732 --- 2 2972 2973 2975 --- 2 2972 2975 2974 --- 3 2976 2979 2978 --- 3 2976 2978 2977 --- 3 2980 2979 2976 --- 3 2981 2983 2982 --- 3 2982 2983 2985 --- 3 2982 2985 2984 --- 3 2984 2985 2987 --- 3 2984 2987 2986 --- 3 2986 2987 2989 --- 3 2986 2989 2988 --- 3 2981 2991 2990 --- 3 2990 2992 2981 --- 3 2981 2992 2993 --- 3 2981 2993 2983 --- 3 2983 2993 2994 --- 3 2983 2994 2985 --- 3 2994 2995 2987 --- 3 2994 2987 2985 --- 3 2987 2995 2996 --- 3 2987 2996 2989 --- 3 2990 2998 2997 --- 3 2990 2997 2992 --- 3 2992 2997 2999 --- 3 2992 2999 2993 --- 3 2993 2999 3000 --- 3 2993 3000 2994 --- 3 2994 3000 3001 --- 3 2994 3001 2995 --- 3 2995 3001 3002 --- 3 2995 3002 2996 --- 3 3002 3004 3003 --- 3 3003 3005 2996 --- 3 3003 2996 3002 --- 3 3006 3007 2990 --- 3 3006 2990 2991 --- 3 3007 3008 2998 --- 3 3007 2998 2990 --- 3 3008 3010 3009 --- 3 3008 3009 2998 --- 3 3009 2997 2998 --- 3 3010 3011 3009 --- 3 3009 3012 2997 --- 3 2997 3012 2999 --- 3 2999 3012 3000 --- 3 3000 3012 3013 --- 3 3009 3014 3012 --- 3 3014 3009 3011 --- 3 3014 3011 3015 --- 3 3000 3016 3001 --- 3 3001 3017 3002 --- 3 3002 3018 3004 --- 3 3018 3002 3017 --- 3 3018 3017 3019 --- 3 3017 3001 3016 --- 3 3017 3016 3020 --- 3 3013 3012 3014 --- 3 3013 3014 3021 --- 3 3021 3023 3022 --- 3 3021 3022 3013 --- 3 3016 3000 3013 --- 3 3016 3013 3022 --- 3 3022 3024 3020 --- 3 3022 3020 3016 --- 3 3022 3023 3025 --- 3 3022 3025 3024 --- 3 3024 3025 3027 --- 3 3024 3027 3026 --- 3 3026 3028 3020 --- 3 3026 3020 3024 --- 3 3019 3017 3020 --- 3 3019 3020 3028 --- 3 3015 3029 3021 --- 3 3015 3021 3014 --- 3 3029 3030 3023 --- 3 3029 3023 3021 --- 3 3030 3031 3025 --- 3 3030 3025 3023 --- 3 3031 3032 3027 --- 3 3031 3027 3025 --- 3 3033 3034 3015 --- 3 3034 3035 3029 --- 3 3034 3029 3015 --- 3 3035 3036 3030 --- 3 3035 3030 3029 --- 3 3036 3037 3031 --- 3 3036 3031 3030 --- 3 3037 3038 3032 --- 3 3037 3032 3031 --- 3 3039 3041 3040 --- 3 3040 3041 3033 --- 3 3033 3041 3042 --- 3 3033 3042 3034 --- 3 3041 3039 3043 --- 3 3041 3043 3042 --- 3 3042 3044 3035 --- 3 3042 3035 3034 --- 3 3044 3045 3036 --- 3 3044 3036 3035 --- 3 3045 3046 3037 --- 3 3045 3037 3036 --- 3 3047 3038 3037 --- 3 3047 3037 3046 --- 3 3038 3048 3032 --- 3 3047 3050 3049 --- 3 3050 3047 3046 --- 3 3050 3046 3051 --- 3 3051 3046 3045 --- 3 3051 3045 3052 --- 3 3052 3045 3044 --- 3 3052 3044 3053 --- 3 3053 3044 3042 --- 3 3053 3042 3043 --- 3 3054 3057 3056 --- 3 3054 3056 3055 --- 3 3055 3056 3059 --- 3 3055 3059 3058 --- 3 3058 3059 3053 --- 3 3058 3053 3043 --- 3 3057 3060 3056 --- 3 3057 3061 3060 --- 3 3060 3062 3059 --- 3 3060 3059 3056 --- 3 3062 3052 3053 --- 3 3062 3053 3059 --- 3 3060 3063 3062 --- 3 3062 3063 3051 --- 3 3062 3051 3052 --- 3 3063 3050 3051 --- 3 3063 3064 3049 --- 3 3063 3049 3050 --- 3 3063 3060 3065 --- 3 3065 3066 3064 --- 3 3065 3064 3063 --- 3 3018 3068 3067 --- 3 3018 3067 3004 --- 3 3018 3019 3069 --- 3 3018 3069 3068 --- 3 3004 3067 3070 --- 3 3070 3071 3003 --- 3 3070 3003 3004 --- 3 3067 3073 3072 --- 3 3072 3074 3070 --- 3 3072 3070 3067 --- 3 3074 3075 3071 --- 3 3074 3071 3070 --- 3 3067 3068 3076 --- 3 3076 3077 3073 --- 3 3076 3073 3067 --- 3 3073 3079 3078 --- 3 3078 3081 3080 --- 3 3078 3080 3073 --- 3 3073 3080 3082 --- 3 3073 3082 3072 --- 3 3082 3083 3074 --- 3 3082 3074 3072 --- 3 3074 3083 3084 --- 3 3074 3084 3075 --- 3 3079 3086 3085 --- 3 3079 3085 3078 --- 3 3086 3088 3087 --- 3 3086 3087 3085 --- 3 3088 3090 3089 --- 3 3088 3089 3087 --- 3 3087 3089 3092 --- 3 3087 3092 3091 --- 3 3091 3085 3087 --- 3 3085 3081 3078 --- 3 3092 3094 3093 --- 3 3092 3093 3091 --- 3 3091 3093 3081 --- 3 3091 3081 3085 --- 3 3094 3096 3095 --- 3 3094 3095 3093 --- 3 3093 3095 3080 --- 3 3093 3080 3081 --- 3 3080 3095 3097 --- 3 3080 3097 3082 --- 3 3095 3096 3098 --- 3 3095 3098 3097 --- 3 3099 3097 3098 --- 3 3099 3098 3100 --- 3 3097 3099 3083 --- 3 3097 3083 3082 --- 3 3084 3083 3099 --- 3 3084 3099 3101 --- 3 3101 3099 3100 --- 3 3101 3100 3102 --- 3 3101 3102 3104 --- 3 3101 3104 3103 --- 3 3101 3103 3105 --- 3 3101 3105 3084 --- 3 3105 3103 2979 --- 3 3105 2979 2980 --- 3 3103 3104 2978 --- 3 3103 2978 2979 --- 3 3077 3106 3079 --- 3 3077 3079 3073 --- 3 3106 3107 3086 --- 3 3106 3086 3079 --- 3 3088 3086 3108 --- 3 3108 3109 3090 --- 3 3108 3090 3088 --- 3 3110 3112 3111 --- 3 3111 3114 3113 --- 3 3111 3113 3110 --- 3 3111 3116 3115 --- 3 3115 3116 3106 --- 3 3115 3106 3117 --- 3 3116 3107 3106 --- 3 3117 3106 3077 --- 3 3117 3077 3118 --- 3 3118 3077 3076 --- 3 3118 3076 3119 --- 3 3119 3076 3068 --- 3 3119 3068 3069 --- 3 3019 3028 3120 --- 3 3019 3120 3069 --- 3 3069 3120 3121 --- 3 3069 3121 3119 --- 3 3119 3121 3122 --- 3 3118 3119 3122 --- 3 3118 3122 3123 --- 3 3118 3123 3117 --- 3 3117 3123 3124 --- 3 3117 3124 3115 --- 3 3115 3124 3125 --- 3 3115 3125 3111 --- 3 3111 3125 3126 --- 3 3111 3126 3114 --- 3 3127 3123 3122 --- 3 3128 3130 3129 --- 3 3122 3131 3130 --- 3 3131 3122 3121 --- 3 3131 3121 3132 --- 3 3132 3121 3120 --- 3 3132 3120 3133 --- 3 3133 3120 3028 --- 3 3133 3028 3026 --- 3 3126 3125 3135 --- 3 3126 3135 3134 --- 3 3135 3125 3124 --- 3 3135 3124 3136 --- 3 3136 3124 3123 --- 3 3136 3123 3127 --- 3 3128 3129 3138 --- 3 3128 3138 3137 --- 3 3137 3138 3140 --- 3 3137 3140 3139 --- 3 3139 3140 3142 --- 3 3139 3142 3141 --- 3 3143 3142 3140 --- 3 3143 3140 3144 --- 3 3144 3140 3138 --- 3 3144 3138 3145 --- 3 3145 3138 3129 --- 3 3145 3129 3146 --- 3 3146 3129 3130 --- 3 3146 3130 3147 --- 3 3147 3130 3131 --- 3 3147 3131 3148 --- 3 3112 3110 3113 --- 3 3112 3113 3149 --- 3 3149 3109 3108 --- 3 3149 3108 3112 --- 3 3148 3131 3132 --- 3 3148 3132 3150 --- 3 3150 3132 3152 --- 3 3150 3152 3151 --- 3 3152 3132 3133 --- 3 3152 3133 3153 --- 3 3153 3133 3026 --- 3 3153 3026 3027 --- 3 3048 3153 3027 --- 3 3048 3027 3032 --- 3 3148 3155 3154 --- 3 3148 3154 3147 --- 3 3147 3154 3156 --- 3 3147 3156 3146 --- 3 3146 3156 3157 --- 3 3146 3157 3145 --- 3 3145 3157 3158 --- 3 3145 3158 3144 --- 3 3144 3158 3159 --- 3 3144 3159 3143 --- 3 3160 3159 3158 --- 3 3160 3158 3161 --- 3 3161 3158 3157 --- 3 3161 3157 3162 --- 3 3162 3157 3156 --- 3 3162 3156 3163 --- 3 3163 3156 3154 --- 3 3163 3154 3164 --- 3 3155 3164 3154 --- 3 3165 3155 3148 --- 3 3165 3166 3164 --- 3 3165 3164 3155 --- 3 3166 3167 3163 --- 3 3166 3163 3164 --- 3 3167 3168 3162 --- 3 3167 3162 3163 --- 3 3168 3169 3161 --- 3 3168 3161 3162 --- 3 3169 3170 3160 --- 3 3169 3160 3161 --- 3 3165 3171 3166 --- 3 3171 3172 3167 --- 3 3171 3167 3166 --- 3 3172 3173 3168 --- 3 3172 3168 3167 --- 3 3173 3174 3169 --- 3 3173 3169 3168 --- 3 3174 3175 3170 --- 3 3174 3170 3169 --- 3 3174 3177 3176 --- 3 3174 3176 3175 --- 3 3177 3174 3173 --- 3 3177 3173 3178 --- 3 3173 3172 3179 --- 3 3173 3179 3178 --- 3 3171 3179 3172 --- 3 3176 3177 3181 --- 3 3176 3181 3180 --- 3 3181 3177 3178 --- 3 3181 3178 3182 --- 3 3182 3178 3179 --- 3 3182 3179 3183 --- 3 3183 3179 3171 --- 3 3183 3171 3184 --- 3 3184 3171 3165 --- 3 3165 3185 3184 --- 3 3184 3185 3186 --- 3 3184 3186 3183 --- 3 3183 3186 3187 --- 3 3183 3187 3182 --- 3 3182 3187 3188 --- 3 3182 3188 3181 --- 3 3181 3188 3189 --- 3 3181 3189 3180 --- 3 3165 3190 3185 --- 3 3165 3191 3190 --- 3 3165 3192 3191 --- 3 3165 3151 3192 --- 3 3165 3150 3151 --- 3 3165 3148 3150 --- 3 3152 3153 3048 --- 3 3152 3048 3193 --- 3 3193 3192 3151 --- 3 3193 3151 3152 --- 3 3048 3194 3193 --- 3 3192 3193 3191 --- 3 3191 3196 3195 --- 3 3191 3195 3190 --- 3 3190 3195 3197 --- 3 3190 3197 3185 --- 3 3197 3186 3185 --- 3 3186 3197 3199 --- 3 3186 3199 3198 --- 3 3198 3200 3187 --- 3 3198 3187 3186 --- 3 3200 3201 3188 --- 3 3200 3188 3187 --- 3 3201 3202 3189 --- 3 3201 3189 3188 --- 3 3199 3197 3195 --- 3 3199 3195 3203 --- 3 3203 3195 3196 --- 3 3203 3196 3204 --- 3 3204 3196 3194 --- 3 3204 3194 3205 --- 3 3205 3194 3048 --- 3 3048 3038 3206 --- 3 3206 3207 3205 --- 3 3206 3205 3048 --- 3 3205 3207 3208 --- 3 3208 3204 3205 --- 3 3208 3209 3203 --- 3 3208 3203 3204 --- 3 3209 3210 3199 --- 3 3209 3199 3203 --- 3 3210 3211 3198 --- 3 3210 3198 3199 --- 3 3211 3212 3200 --- 3 3211 3200 3198 --- 3 3212 3213 3201 --- 3 3212 3201 3200 --- 3 3213 3202 3201 --- 3 3206 3038 3047 --- 3 3206 3047 3214 --- 3 3214 3215 3207 --- 3 3214 3207 3206 --- 3 3215 3216 3208 --- 3 3215 3208 3207 --- 3 3216 3218 3217 --- 3 3216 3217 3208 --- 3 3208 3217 3219 --- 3 3208 3219 3209 --- 3 3219 3210 3209 --- 3 3217 3221 3220 --- 3 3217 3220 3219 --- 3 3220 3222 3210 --- 3 3220 3210 3219 --- 3 3218 3221 3217 --- 3 3210 3222 3223 --- 3 3210 3223 3211 --- 3 3211 3223 3224 --- 3 3211 3224 3212 --- 3 3212 3224 3225 --- 3 3212 3225 3213 --- 3 3218 3227 3226 --- 3 3226 3227 3229 --- 3 3226 3229 3228 --- 3 3227 3230 3229 --- 3 3230 3231 3229 --- 3 3229 3231 3232 --- 3 3218 3233 3221 --- 3 3229 3232 3228 --- 3 3233 3220 3221 --- 3 3233 3234 3222 --- 3 3233 3222 3220 --- 3 3234 3235 3223 --- 3 3234 3223 3222 --- 3 3234 3233 3237 --- 3 3234 3237 3236 --- 3 3218 3226 3237 --- 3 3218 3237 3233 --- 3 3227 3238 3230 --- 3 3238 3216 3215 --- 3 3238 3215 3239 --- 3 3239 3215 3214 --- 3 3239 3214 3240 --- 3 3240 3214 3047 --- 3 3240 3047 3049 --- 3 3230 3238 3242 --- 3 3230 3242 3241 --- 3 3242 3238 3239 --- 3 3242 3239 3243 --- 3 3243 3239 3240 --- 3 3243 3240 3244 --- 3 3244 3240 3049 --- 3 3244 3049 3064 --- 3 3228 3245 3237 --- 3 3228 3237 3226 --- 3 3237 3245 3246 --- 3 3237 3246 3236 --- 3 3247 3249 3248 --- 3 3247 3245 3228 --- 3 3247 3228 3232 --- 3 3249 3247 3232 --- 3 3249 3232 3250 --- 3 3232 3231 3251 --- 3 3232 3251 3250 --- 3 3250 3253 3252 --- 3 3250 3252 3249 --- 3 3249 3252 3254 --- 3 3249 3254 3248 --- 3 3248 3254 3255 --- 3 3255 3254 3257 --- 3 3255 3257 3256 --- 3 3251 3258 3253 --- 3 3251 3253 3250 --- 3 3246 3245 3247 --- 3 3246 3247 3248 --- 3 3254 3252 3259 --- 3 3254 3259 3257 --- 3 3255 3256 3261 --- 3 3255 3261 3260 --- 3 3248 3255 3260 --- 3 3248 3260 3262 --- 3 3248 3262 3263 --- 3 3248 3263 3246 --- 3 3246 3263 3264 --- 3 3246 3264 3236 --- 3 3234 3236 3264 --- 3 3234 3264 3235 --- 3 3260 3261 3266 --- 3 3260 3266 3265 --- 3 3252 3253 3267 --- 3 3252 3267 3259 --- 3 3253 3258 3268 --- 3 3253 3268 3267 --- 3 3258 3270 3269 --- 3 3258 3269 3268 --- 3 3270 3258 3251 --- 3 3270 3251 3271 --- 3 3251 3231 3272 --- 3 3251 3272 3271 --- 3 3271 3272 3274 --- 3 3271 3274 3273 --- 3 3273 3275 3270 --- 3 3273 3270 3271 --- 3 3275 3276 3269 --- 3 3275 3269 3270 --- 3 3230 3277 3272 --- 3 3230 3272 3231 --- 3 3230 3241 3277 --- 3 3277 3278 3274 --- 3 3277 3274 3272 --- 3 3241 3279 3277 --- 3 3277 3279 3280 --- 3 3277 3280 3278 --- 3 3279 3241 3242 --- 3 3275 3282 3281 --- 3 3275 3281 3276 --- 3 3282 3275 3273 --- 3 3282 3273 3283 --- 3 3283 3273 3274 --- 3 3283 3274 3284 --- 3 3284 3274 3278 --- 3 3284 3278 3285 --- 3 3286 3281 3282 --- 3 3286 3282 3287 --- 3 3287 3282 3283 --- 3 3287 3283 3288 --- 3 3288 3283 3284 --- 3 3288 3284 3289 --- 3 3289 3284 3285 --- 3 3289 3285 3290 --- 3 3291 3286 3287 --- 3 3291 3287 3292 --- 3 3292 3287 3288 --- 3 3292 3288 3293 --- 3 3293 3288 3289 --- 3 3293 3289 3294 --- 3 3292 3296 3295 --- 3 3292 3295 3291 --- 3 3297 3296 3292 --- 3 3297 3292 3293 --- 3 3297 3298 3296 --- 3 3296 3298 3299 --- 3 3296 3299 3295 --- 3 3298 3302 3301 --- 3 3298 3301 3300 --- 3 3298 3297 3302 --- 3 3298 3300 3303 --- 3 3298 3303 3299 --- 3 3300 3305 3304 --- 3 3300 3304 3303 --- 3 3305 3307 3306 --- 3 3305 3306 3304 --- 3 3308 3305 3300 --- 3 3308 3300 3301 --- 3 3309 3305 3308 --- 3 3309 3310 3307 --- 3 3309 3307 3305 --- 3 3057 3054 3311 --- 3 3311 3061 3057 --- 3 3311 3312 3061 --- 3 3312 3313 3061 --- 3 3311 3314 3312 --- 3 3312 3314 3316 --- 3 3312 3316 3315 --- 3 3315 3318 3317 --- 3 3315 3317 3312 --- 3 3312 3317 3313 --- 3 3313 3317 3320 --- 3 3313 3320 3319 --- 3 3317 3318 3321 --- 3 3317 3321 3320 --- 3 3318 3322 3321 --- 3 3315 3323 3318 --- 3 3315 3316 3325 --- 3 3315 3325 3324 --- 3 3324 3326 3323 --- 3 3324 3323 3315 --- 3 3326 3328 3327 --- 3 3326 3327 3323 --- 3 3323 3327 3322 --- 3 3323 3322 3318 --- 3 3320 3330 3329 --- 3 3320 3329 3319 --- 3 3320 3321 3331 --- 3 3320 3331 3330 --- 3 3321 3322 3332 --- 3 3321 3332 3331 --- 3 3322 3327 3333 --- 3 3322 3333 3332 --- 3 3327 3328 3334 --- 3 3327 3334 3333 --- 3 3328 3336 3335 --- 3 3328 3335 3334 --- 3 3336 3328 3326 --- 3 3336 3326 3337 --- 3 3337 3326 3324 --- 3 3337 3324 3325 --- 3 3330 3309 3308 --- 3 3330 3308 3338 --- 3 3338 3329 3330 --- 3 3329 3338 3339 --- 3 3339 3338 3308 --- 3 3339 3308 3301 --- 3 3301 3302 3339 --- 3 3330 3331 3310 --- 3 3330 3310 3309 --- 3 3331 3332 3340 --- 3 3331 3340 3310 --- 3 3310 3340 3341 --- 3 3310 3341 3307 --- 3 3307 3341 3342 --- 3 3307 3342 3306 --- 3 3332 3333 3343 --- 3 3332 3343 3340 --- 3 3333 3334 3344 --- 3 3333 3344 3343 --- 3 3334 3335 3345 --- 3 3334 3345 3344 --- 3 3337 3346 3336 --- 3 3346 3347 3335 --- 3 3346 3335 3336 --- 3 3347 3348 3345 --- 3 3347 3345 3335 --- 3 3343 3349 3341 --- 3 3343 3341 3340 --- 3 3349 3350 3342 --- 3 3349 3342 3341 --- 3 3344 3351 3349 --- 3 3344 3349 3343 --- 3 3351 3352 3350 --- 3 3351 3350 3349 --- 3 3345 3353 3351 --- 3 3345 3351 3344 --- 3 3353 3354 3352 --- 3 3353 3352 3351 --- 3 3348 3355 3353 --- 3 3348 3353 3345 --- 3 3355 3356 3354 --- 3 3355 3354 3353 --- 3 3289 3357 3294 --- 3 3278 3280 3358 --- 3 3278 3358 3285 --- 3 3359 3290 3285 --- 3 3359 3285 3358 --- 3 3357 3289 3290 --- 3 3357 3290 3360 --- 3 3360 3290 3359 --- 3 3293 3294 3361 --- 3 3293 3361 3297 --- 3 3297 3362 3302 --- 3 3361 3294 3357 --- 3 3361 3357 3363 --- 3 3363 3357 3360 --- 3 3302 3362 3364 --- 3 3302 3364 3339 --- 3 3339 3364 3365 --- 3 3339 3365 3329 --- 3 3329 3365 3366 --- 3 3329 3366 3319 --- 3 3319 3366 3367 --- 3 3319 3367 3313 --- 3 3313 3367 3368 --- 3 3313 3368 3061 --- 3 3061 3368 3060 --- 3 3359 3369 3363 --- 3 3359 3363 3360 --- 3 3369 3370 3363 --- 3 3363 3370 3371 --- 3 3372 3374 3373 --- 3 3371 3370 3376 --- 3 3371 3376 3375 --- 3 3375 3376 3374 --- 3 3375 3374 3372 --- 3 3370 3377 3376 --- 3 3376 3377 3378 --- 3 3376 3378 3374 --- 3 3374 3378 3379 --- 3 3374 3379 3373 --- 3 3373 3379 3381 --- 3 3373 3381 3380 --- 3 3370 3383 3382 --- 3 3370 3382 3377 --- 3 3377 3382 3384 --- 3 3377 3384 3378 --- 3 3378 3384 3385 --- 3 3378 3385 3379 --- 3 3379 3385 3386 --- 3 3379 3386 3381 --- 3 3386 3387 3065 --- 3 3386 3065 3381 --- 3 3380 3381 3065 --- 3 3380 3065 3060 --- 3 3065 3387 3066 --- 3 3359 3358 3388 --- 3 3359 3389 3369 --- 3 3369 3389 3383 --- 3 3369 3383 3370 --- 3 3388 3390 3359 --- 3 3388 3358 3280 --- 3 3066 3244 3064 --- 3 3244 3066 3392 --- 3 3244 3392 3391 --- 3 3391 3393 3243 --- 3 3391 3243 3244 --- 3 3393 3394 3242 --- 3 3393 3242 3243 --- 3 3394 3395 3279 --- 3 3394 3279 3242 --- 3 3395 3388 3280 --- 3 3395 3280 3279 --- 3 3387 3396 3392 --- 3 3387 3392 3066 --- 3 3386 3397 3396 --- 3 3386 3396 3387 --- 3 3397 3386 3385 --- 3 3397 3385 3398 --- 3 3398 3385 3384 --- 3 3398 3384 3399 --- 3 3399 3384 3382 --- 3 3399 3382 3400 --- 3 3400 3382 3383 --- 3 3400 3383 3401 --- 3 3383 3389 3401 --- 3 3389 3359 3390 --- 3 3389 3390 3402 --- 3 3389 3402 3403 --- 3 3389 3403 3401 --- 3 3401 3403 3404 --- 3 3401 3404 3400 --- 3 3404 3405 3399 --- 3 3404 3399 3400 --- 3 3399 3405 3406 --- 3 3399 3406 3398 --- 3 3398 3406 3407 --- 3 3398 3407 3397 --- 3 3407 3408 3391 --- 3 3407 3391 3392 --- 3 3408 3393 3391 --- 3 3408 3409 3394 --- 3 3408 3394 3393 --- 3 3409 3410 3395 --- 3 3409 3395 3394 --- 3 3390 3388 3395 --- 3 3390 3395 3410 --- 3 3397 3407 3396 --- 3 3396 3407 3392 --- 3 3010 3412 3411 --- 3 3010 3411 3011 --- 3 3411 3412 3414 --- 3 3411 3414 3413 --- 3 3413 3414 3416 --- 3 3413 3416 3415 --- 3 3415 3416 3418 --- 3 3415 3418 3417 --- 3 3415 3417 3419 --- 3 3415 3419 3413 --- 3 3419 3420 3411 --- 3 3419 3411 3413 --- 3 3420 3421 3011 --- 3 3420 3011 3411 --- 3 3422 3423 3419 --- 3 3422 3419 3417 --- 3 3423 3424 3420 --- 3 3423 3420 3419 --- 3 3424 3425 3421 --- 3 3424 3421 3420 --- 3 3418 3422 3417 --- 3 3426 3427 3422 --- 3 3426 3422 3418 --- 3 3427 3428 3423 --- 3 3427 3423 3422 --- 3 3428 3429 3424 --- 3 3428 3424 3423 --- 3 3429 3430 3425 --- 3 3429 3425 3424 --- 3 3430 3431 3425 --- 3 3432 3426 3431 --- 3 3432 3431 3430 --- 3 3432 3430 3429 --- 3 3432 3429 3428 --- 3 3432 3428 3427 --- 3 3432 3427 3426 --- 3 3416 3434 3433 --- 3 3433 3434 3436 --- 3 3433 3436 3435 --- 3 3436 3438 3437 --- 3 3436 3437 3435 --- 3 3435 3437 3007 --- 3 3435 3007 3006 --- 3 3010 3008 3439 --- 3 3010 3439 3412 --- 3 3437 3439 3008 --- 3 3437 3008 3007 --- 3 3440 3416 3414 --- 3 3414 3412 3440 --- 3 3440 3438 3436 --- 3 3440 3412 3439 --- 3 3440 3439 3437 --- 3 3440 3437 3438 --- 3 3416 3440 3436 --- 3 3416 3436 3434 --- 3 3441 3444 3443 --- 3 3441 3443 3442 --- 3 2988 2989 2996 --- 3 2988 2996 3005 --- 3 3224 3265 3266 --- 3 3224 3266 3225 --- 3 3223 3235 3446 --- 3 3223 3446 3445 --- 3 3224 3223 3445 --- 3 3224 3445 3442 --- 3 3265 3224 3442 --- 3 3265 3442 3443 --- 3 3260 3265 3443 --- 3 3260 3443 3444 --- 3 3262 3260 3444 --- 3 3262 3444 3441 --- 3 3263 3262 3441 --- 3 3263 3441 3447 --- 3 3264 3263 3447 --- 3 3264 3447 3448 --- 3 3235 3264 3448 --- 3 3235 3448 3446 --- 3 3134 3135 3139 --- 3 3134 3139 3141 --- 3 3135 3136 3137 --- 3 3135 3137 3139 --- 3 3136 3127 3128 --- 3 3136 3128 3137 --- 3 3122 3128 3127 --- 3 3216 3238 3227 --- 3 3216 3227 3218 --- 3 3130 3128 3122 --- 3 2977 2978 3450 --- 3 2977 3450 3449 --- 3 3451 3449 3450 --- 3 3452 3454 3453 --- 3 3455 3456 3453 --- 3 3455 3453 3454 --- 3 3457 3458 3456 --- 3 3457 3456 3455 --- 3 3459 3460 3458 --- 3 3459 3458 3457 --- 3 3452 3462 3461 --- 3 3462 3452 3463 --- 3 3453 3464 3463 --- 3 3453 3463 3452 --- 3 3456 3465 3464 --- 3 3456 3464 3453 --- 3 3456 3458 3466 --- 3 3456 3466 3465 --- 3 3460 3467 3466 --- 3 3460 3466 3458 --- 3 3463 3469 3468 --- 3 3463 3468 3462 --- 3 3464 3470 3469 --- 3 3464 3469 3463 --- 3 3465 3471 3470 --- 3 3465 3470 3464 --- 3 3466 3472 3471 --- 3 3466 3471 3465 --- 3 3467 3473 3472 --- 3 3467 3472 3466 --- 3 3473 3475 3474 --- 3 3473 3467 3476 --- 3 3473 3476 3475 --- 3 3461 3462 3478 --- 3 3461 3478 3477 --- 3 3462 3468 3479 --- 3 3462 3479 3478 --- 3 3468 3481 3480 --- 3 3468 3480 3479 --- 3 3481 3468 3469 --- 3 3480 3481 3482 --- 3 3481 3469 3483 --- 3 3469 3470 3483 --- 3 3470 3471 3483 --- 3 3471 3484 3483 --- 3 3481 3483 3485 --- 3 3486 3482 3481 --- 3 3486 3481 3485 --- 3 3471 3472 3487 --- 3 3472 3473 3488 --- 3 3473 3474 3489 --- 3 3490 3488 3473 --- 3 3490 3473 3489 --- 3 3491 3487 3472 --- 3 3491 3472 3488 --- 3 3492 3485 3483 --- 3 3492 3483 3484 --- 3 3484 3494 3493 --- 3 3484 3493 3492 --- 3 3494 3484 3471 --- 3 3494 3471 3487 --- 3 3487 3491 3495 --- 3 3487 3495 3494 --- 3 3495 3496 3493 --- 3 3495 3493 3494 --- 3 3497 3498 3496 --- 3 3497 3496 3495 --- 3 3495 3491 3499 --- 3 3495 3499 3497 --- 3 3499 3491 3488 --- 3 3499 3488 3490 --- 3 3485 3492 3500 --- 3 3485 3500 3486 --- 3 3492 3493 3501 --- 3 3492 3501 3500 --- 3 3493 3496 3502 --- 3 3493 3502 3501 --- 3 3496 3498 3503 --- 3 3496 3503 3502 --- 3 3504 3486 3505 --- 3 3486 3500 3506 --- 3 3486 3506 3505 --- 3 3500 3501 3507 --- 3 3500 3507 3506 --- 3 3501 3502 3508 --- 3 3501 3508 3507 --- 3 3502 3503 3509 --- 3 3502 3509 3508 --- 3 3510 3512 3511 --- 3 3512 3504 3511 --- 3 3505 3513 3511 --- 3 3505 3511 3504 --- 3 3513 3514 3510 --- 3 3513 3510 3511 --- 3 3505 3506 3515 --- 3 3505 3515 3513 --- 3 3506 3507 3516 --- 3 3506 3516 3515 --- 3 3507 3508 3517 --- 3 3507 3517 3516 --- 3 3517 3508 3509 --- 3 3517 3509 3518 --- 3 3509 3503 3519 --- 3 3518 3521 3520 --- 3 3522 3517 3518 --- 3 3522 3518 3520 --- 3 3523 3516 3517 --- 3 3523 3517 3522 --- 3 3524 3515 3516 --- 3 3524 3516 3523 --- 3 3514 3513 3515 --- 3 3514 3515 3524 --- 3 3525 3528 3527 --- 3 3525 3527 3526 --- 3 3529 3530 3528 --- 3 3529 3528 3525 --- 3 3514 3524 3530 --- 3 3514 3530 3529 --- 3 3527 3528 3531 --- 3 3527 3531 3532 --- 3 3528 3530 3533 --- 3 3528 3533 3531 --- 3 3530 3524 3523 --- 3 3530 3523 3533 --- 3 3531 3533 3534 --- 3 3523 3522 3534 --- 3 3523 3534 3533 --- 3 3534 3522 3520 --- 3 3520 3521 3535 --- 3 3520 3535 3534 --- 3 3534 3536 3531 --- 3 3534 3535 3537 --- 3 3534 3537 3536 --- 3 3474 3539 3538 --- 3 3474 3538 3489 --- 3 3538 3540 3490 --- 3 3538 3490 3489 --- 3 3474 3541 3539 --- 3 3474 3475 3542 --- 3 3474 3542 3541 --- 3 3539 3544 3543 --- 3 3539 3541 3545 --- 3 3539 3545 3544 --- 3 3541 3542 3546 --- 3 3541 3546 3545 --- 3 3539 3547 3538 --- 3 3539 3543 3548 --- 3 3539 3548 3547 --- 3 3543 3550 3549 --- 3 3543 3552 3551 --- 3 3543 3551 3550 --- 3 3544 3553 3552 --- 3 3544 3552 3543 --- 3 3544 3545 3554 --- 3 3544 3554 3553 --- 3 3546 3555 3554 --- 3 3546 3554 3545 --- 3 3550 3557 3556 --- 3 3550 3556 3549 --- 3 3557 3559 3558 --- 3 3557 3558 3556 --- 3 3559 3089 3090 --- 3 3559 3090 3558 --- 3 3560 3092 3089 --- 3 3560 3089 3559 --- 3 3560 3559 3557 --- 3 3557 3550 3551 --- 3 3560 3561 3094 --- 3 3560 3094 3092 --- 3 3557 3551 3561 --- 3 3557 3561 3560 --- 3 3561 3562 3096 --- 3 3561 3096 3094 --- 3 3551 3552 3562 --- 3 3551 3562 3561 --- 3 3553 3563 3562 --- 3 3553 3562 3552 --- 3 3563 3098 3096 --- 3 3563 3096 3562 --- 3 3100 3098 3563 --- 3 3100 3563 3564 --- 3 3553 3554 3564 --- 3 3553 3564 3563 --- 3 3565 3564 3554 --- 3 3565 3554 3555 --- 3 3102 3100 3564 --- 3 3102 3564 3565 --- 3 3566 3104 3102 --- 3 3566 3102 3565 --- 3 3555 3567 3566 --- 3 3555 3566 3565 --- 3 3451 3450 3566 --- 3 3451 3566 3567 --- 3 3450 2978 3104 --- 3 3450 3104 3566 --- 3 3543 3549 3568 --- 3 3543 3568 3548 --- 3 3549 3556 3569 --- 3 3549 3569 3568 --- 3 3569 3556 3570 --- 3 3558 3090 3109 --- 3 3558 3109 3571 --- 3 3569 3570 3572 --- 3 3573 3113 3114 --- 3 3573 3114 3574 --- 3 3574 3575 3572 --- 3 3576 3568 3572 --- 3 3576 3572 3575 --- 3 3572 3568 3569 --- 3 3577 3548 3568 --- 3 3577 3568 3576 --- 3 3578 3547 3548 --- 3 3578 3548 3577 --- 3 3540 3538 3547 --- 3 3540 3547 3578 --- 3 3540 3579 3499 --- 3 3540 3499 3490 --- 3 3578 3580 3579 --- 3 3578 3579 3540 --- 3 3578 3581 3580 --- 3 3577 3581 3578 --- 3 3576 3582 3581 --- 3 3576 3581 3577 --- 3 3575 3583 3582 --- 3 3575 3582 3576 --- 3 3574 3584 3583 --- 3 3574 3583 3575 --- 3 3114 3126 3584 --- 3 3114 3584 3574 --- 3 3585 3581 3582 --- 3 3586 3588 3587 --- 3 3581 3587 3589 --- 3 3590 3580 3581 --- 3 3590 3581 3589 --- 3 3591 3579 3580 --- 3 3591 3580 3590 --- 3 3497 3499 3579 --- 3 3497 3579 3591 --- 3 3134 3592 3584 --- 3 3134 3584 3126 --- 3 3593 3583 3584 --- 3 3593 3584 3592 --- 3 3585 3582 3583 --- 3 3585 3583 3593 --- 3 3594 3595 3588 --- 3 3594 3588 3586 --- 3 3596 3597 3595 --- 3 3596 3595 3594 --- 3 3141 3142 3597 --- 3 3141 3597 3596 --- 3 3598 3597 3142 --- 3 3598 3142 3143 --- 3 3599 3595 3597 --- 3 3599 3597 3598 --- 3 3600 3588 3595 --- 3 3600 3595 3599 --- 3 3601 3587 3588 --- 3 3601 3588 3600 --- 3 3602 3589 3587 --- 3 3602 3587 3601 --- 3 3149 3113 3573 --- 3 3149 3573 3570 --- 3 3570 3571 3109 --- 3 3570 3109 3149 --- 3 3603 3590 3589 --- 3 3603 3589 3602 --- 3 3604 3605 3590 --- 3 3604 3590 3603 --- 3 3606 3591 3590 --- 3 3606 3590 3605 --- 3 3498 3497 3591 --- 3 3498 3591 3606 --- 3 3503 3498 3606 --- 3 3503 3606 3519 --- 3 3601 3608 3607 --- 3 3601 3607 3602 --- 3 3600 3609 3608 --- 3 3600 3608 3601 --- 3 3599 3610 3609 --- 3 3599 3609 3600 --- 3 3598 3611 3610 --- 3 3598 3610 3599 --- 3 3143 3159 3611 --- 3 3143 3611 3598 --- 3 3612 3611 3159 --- 3 3612 3159 3160 --- 3 3613 3610 3611 --- 3 3613 3611 3612 --- 3 3614 3609 3610 --- 3 3614 3610 3613 --- 3 3615 3608 3609 --- 3 3615 3609 3614 --- 3 3607 3608 3615 --- 3 3616 3602 3607 --- 3 3607 3615 3617 --- 3 3607 3617 3616 --- 3 3615 3614 3618 --- 3 3615 3618 3617 --- 3 3614 3613 3619 --- 3 3614 3619 3618 --- 3 3613 3612 3620 --- 3 3613 3620 3619 --- 3 3612 3160 3170 --- 3 3612 3170 3620 --- 3 3616 3617 3621 --- 3 3617 3618 3622 --- 3 3617 3622 3621 --- 3 3618 3619 3623 --- 3 3618 3623 3622 --- 3 3619 3620 3624 --- 3 3619 3624 3623 --- 3 3620 3170 3175 --- 3 3620 3175 3624 --- 3 3175 3176 3625 --- 3 3175 3625 3624 --- 3 3626 3623 3624 --- 3 3626 3624 3625 --- 3 3626 3627 3622 --- 3 3626 3622 3623 --- 3 3621 3622 3627 --- 3 3180 3628 3625 --- 3 3180 3625 3176 --- 3 3629 3626 3625 --- 3 3629 3625 3628 --- 3 3630 3627 3626 --- 3 3630 3626 3629 --- 3 3631 3621 3627 --- 3 3631 3627 3630 --- 3 3631 3616 3621 --- 3 3616 3631 3632 --- 3 3630 3633 3632 --- 3 3630 3632 3631 --- 3 3629 3634 3633 --- 3 3629 3633 3630 --- 3 3628 3635 3634 --- 3 3628 3634 3629 --- 3 3180 3189 3635 --- 3 3180 3635 3628 --- 3 3616 3632 3636 --- 3 3616 3636 3637 --- 3 3616 3637 3638 --- 3 3616 3638 3604 --- 3 3616 3604 3603 --- 3 3616 3603 3602 --- 3 3639 3519 3606 --- 3 3639 3606 3605 --- 3 3605 3604 3638 --- 3 3605 3638 3639 --- 3 3519 3639 3640 --- 3 3640 3639 3641 --- 3 3636 3642 3641 --- 3 3636 3641 3637 --- 3 3632 3643 3642 --- 3 3632 3642 3636 --- 3 3643 3632 3633 --- 3 3644 3645 3643 --- 3 3644 3643 3633 --- 3 3633 3634 3646 --- 3 3633 3646 3644 --- 3 3634 3635 3647 --- 3 3634 3647 3646 --- 3 3635 3189 3202 --- 3 3635 3202 3647 --- 3 3648 3642 3643 --- 3 3648 3643 3645 --- 3 3649 3641 3642 --- 3 3649 3642 3648 --- 3 3650 3640 3641 --- 3 3650 3641 3649 --- 3 3650 3519 3640 --- 3 3519 3651 3509 --- 3 3519 3650 3652 --- 3 3519 3652 3651 --- 3 3650 3653 3652 --- 3 3653 3650 3649 --- 3 3649 3648 3654 --- 3 3649 3654 3653 --- 3 3648 3645 3655 --- 3 3648 3655 3654 --- 3 3645 3644 3656 --- 3 3645 3656 3655 --- 3 3644 3646 3657 --- 3 3644 3657 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3521 3518 3658 --- 3 3521 3658 3683 --- 3 3684 3685 3681 --- 3 3684 3681 3673 --- 3 3686 3682 3681 --- 3 3686 3681 3685 --- 3 3687 3683 3682 --- 3 3687 3682 3686 --- 3 3535 3521 3683 --- 3 3535 3683 3687 --- 3 3670 3680 3688 --- 3 3670 3688 3671 --- 3 3679 3689 3688 --- 3 3679 3688 3680 --- 3 3690 3692 3691 --- 3 3675 3671 3688 --- 3 3675 3688 3690 --- 3 3693 3675 3690 --- 3 3693 3690 3691 --- 3 3693 3694 3674 --- 3 3693 3674 3675 --- 3 3691 3696 3695 --- 3 3691 3695 3693 --- 3 3692 3697 3696 --- 3 3692 3696 3691 --- 3 3692 3698 3697 --- 3 3256 3257 3697 --- 3 3256 3697 3698 --- 3 3693 3695 3699 --- 3 3693 3699 3694 --- 3 3692 3690 3688 --- 3 3692 3688 3689 --- 3 3257 3259 3696 --- 3 3257 3696 3697 --- 3 3700 3261 3256 --- 3 3700 3256 3698 --- 3 3701 3700 3698 --- 3 3701 3698 3692 --- 3 3689 3702 3701 --- 3 3689 3701 3692 --- 3 3679 3703 3702 --- 3 3679 3702 3689 --- 3 3678 3703 3679 --- 3 3678 3679 3677 --- 3 3704 3266 3261 --- 3 3704 3261 3700 --- 3 3259 3267 3695 --- 3 3259 3695 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3724 3723 3726 --- 3 3724 3726 3727 --- 3 3727 3726 3728 --- 3 3295 3299 3728 --- 3 3295 3728 3726 --- 3 3729 3731 3730 --- 3 3729 3730 3728 --- 3 3728 3730 3727 --- 3 3299 3303 3729 --- 3 3299 3729 3728 --- 3 3303 3304 3732 --- 3 3303 3732 3729 --- 3 3304 3306 3733 --- 3 3304 3733 3732 --- 3 3731 3729 3732 --- 3 3731 3732 3734 --- 3 3735 3734 3732 --- 3 3732 3733 3736 --- 3 3732 3736 3735 --- 3 3527 3737 3526 --- 3 3737 3527 3532 --- 3 3737 3532 3738 --- 3 3738 3532 3739 --- 3 3737 3738 3740 --- 3 3741 3742 3740 --- 3 3741 3740 3738 --- 3 3738 3744 3743 --- 3 3738 3743 3741 --- 3 3738 3739 3744 --- 3 3745 3746 3744 --- 3 3745 3744 3739 --- 3 3746 3747 3743 --- 3 3746 3743 3744 --- 3 3743 3747 3748 --- 3 3741 3743 3749 --- 3 3750 3751 3742 --- 3 3750 3742 3741 --- 3 3741 3749 3752 --- 3 3741 3752 3750 --- 3 3749 3754 3753 --- 3 3749 3753 3752 --- 3 3743 3748 3754 --- 3 3743 3754 3749 --- 3 3745 3756 3755 --- 3 3745 3755 3746 --- 3 3755 3757 3747 --- 3 3755 3747 3746 --- 3 3757 3758 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3775 3352 3354 --- 3 3775 3354 3776 --- 3 3770 3776 3777 --- 3 3770 3777 3773 --- 3 3776 3354 3356 --- 3 3776 3356 3777 --- 3 3721 3725 3778 --- 3 3718 3779 3714 --- 3 3718 3714 3712 --- 3 3779 3718 3722 --- 3 3779 3722 3780 --- 3 3781 3722 3721 --- 3 3781 3721 3778 --- 3 3781 3780 3722 --- 3 3727 3782 3725 --- 3 3727 3725 3724 --- 3 3727 3730 3783 --- 3 3784 3778 3725 --- 3 3784 3725 3782 --- 3 3784 3781 3778 --- 3 3765 3785 3783 --- 3 3765 3783 3730 --- 3 3756 3786 3785 --- 3 3756 3785 3765 --- 3 3745 3787 3786 --- 3 3745 3786 3756 --- 3 3739 3788 3787 --- 3 3739 3787 3745 --- 3 3532 3789 3788 --- 3 3532 3788 3739 --- 3 3532 3531 3789 --- 3 3781 3784 3790 --- 3 3781 3790 3780 --- 3 3790 3784 3791 --- 3 3784 3792 3791 --- 3 3793 3795 3794 --- 3 3796 3797 3791 --- 3 3796 3791 3792 --- 3 3793 3794 3797 --- 3 3793 3797 3796 --- 3 3791 3797 3798 --- 3 3794 3799 3798 --- 3 3794 3798 3797 --- 3 3795 3800 3799 --- 3 3795 3799 3794 --- 3 3801 3802 3800 --- 3 3801 3800 3795 --- 3 3798 3804 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3821 3824 3822 --- 3 3821 3820 3826 --- 3 3821 3826 3825 --- 3 3819 3827 3826 --- 3 3819 3826 3820 --- 3 3818 3828 3827 --- 3 3818 3827 3819 --- 3 3813 3812 3829 --- 3 3813 3829 3828 --- 3 3829 3812 3814 --- 3 3814 3815 3830 --- 3 3814 3830 3829 --- 3 3815 3816 3831 --- 3 3815 3831 3830 --- 3 3831 3816 3809 --- 3 3831 3809 3811 --- 3 3818 3817 3828 --- 3 3817 3813 3828 --- 3 3482 3833 3832 --- 3 3482 3832 3480 --- 3 3834 3835 3832 --- 3 3834 3832 3833 --- 3 3836 3837 3835 --- 3 3836 3835 3834 --- 3 3838 3839 3837 --- 3 3838 3837 3836 --- 3 3834 3840 3838 --- 3 3834 3838 3836 --- 3 3834 3833 3841 --- 3 3834 3841 3840 --- 3 3833 3482 3842 --- 3 3833 3842 3841 --- 3 3838 3840 3844 --- 3 3838 3844 3843 --- 3 3840 3841 3845 --- 3 3840 3845 3844 --- 3 3841 3842 3846 --- 3 3841 3846 3845 --- 3 3839 3838 3843 --- 3 3839 3843 3848 --- 3 3839 3848 3847 --- 3 3843 3844 3849 --- 3 3843 3849 3848 --- 3 3844 3845 3850 --- 3 3844 3850 3849 --- 3 3845 3846 3851 --- 3 3845 3851 3850 --- 3 3851 3846 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3141 3596 3592 --- 3 3141 3592 3134 --- 3 3596 3594 3593 --- 3 3596 3593 3592 --- 3 3594 3586 3585 --- 3 3594 3585 3593 --- 3 3581 3585 3586 --- 3 3661 3669 3681 --- 3 3661 3681 3660 --- 3 3587 3581 3586 --- 3 3086 3107 3112 --- 3 3086 3112 3108 --- 3 3112 3107 3116 --- 3 3112 3116 3111 --- 3 3193 3194 3196 --- 3 3193 3196 3191 --- 3 3446 3448 3447 --- 3 3446 3447 3441 --- 3 3442 3445 3446 --- 3 3442 3446 3441 --- 3 3556 3558 3571 --- 3 3556 3571 3570 --- 3 3570 3573 3574 --- 3 3570 3574 3572 --- 3 3639 3638 3637 --- 3 3639 3637 3641 --- 3 3867 3868 3869 --- 3 3867 3869 3862 --- 3 3863 3866 3867 --- 3 3863 3867 3862 --- 3 3870 3873 3872 --- 3 3870 3872 3871 --- 3 3871 3872 3875 --- 3 3871 3875 3874 --- 3 3874 3875 3877 --- 3 3874 3877 3876 --- 3 3876 3877 3879 --- 3 3876 3879 3878 --- 3 3878 3879 3881 --- 3 3878 3881 3880 --- 3 3880 3881 3883 --- 3 3880 3883 3882 --- 3 3882 3883 3885 --- 3 3882 3885 3884 --- 3 3884 3885 3887 --- 3 3884 3887 3886 --- 3 3888 3884 3886 --- 3 3888 3886 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3910 3921 3918 --- 3 3915 3922 3914 --- 3 3917 3922 3915 --- 3 3920 3923 3919 --- 3 3919 3923 3921 --- 3 3905 3906 3914 --- 3 3905 3914 3924 --- 3 3908 3905 3924 --- 3 3908 3924 3920 --- 3 3914 3922 3925 --- 3 3914 3925 3924 --- 3 3924 3925 3923 --- 3 3924 3923 3920 --- 3 3926 3922 3917 --- 3 3926 3917 3927 --- 3 3923 3926 3927 --- 3 3923 3927 3921 --- 3 3918 3921 3927 --- 3 3918 3927 3928 --- 3 3928 3927 3917 --- 3 3928 3917 3916 --- 3 3925 3922 3926 --- 3 3925 3926 3923 --- 3 3912 3913 3930 --- 3 3912 3930 3929 --- 3 3916 3912 3929 --- 3 3916 3929 3931 --- 3 3916 3931 3928 --- 3 3918 3928 3931 --- 3 3918 3931 3932 --- 3 3918 3932 3909 --- 3 3877 3909 3932 --- 3 3877 3932 3879 --- 3 3879 3932 3933 --- 3 3879 3933 3881 --- 3 3881 3933 3934 --- 3 3881 3934 3883 --- 3 3883 3934 3935 --- 3 3883 3935 3885 --- 3 3885 3935 3936 --- 3 3885 3936 3887 --- 3 3937 3936 3935 --- 3 3937 3935 3938 --- 3 3938 3935 3934 --- 3 3938 3934 3939 --- 3 3939 3934 3933 --- 3 3939 3933 3940 --- 3 3940 3933 3932 --- 3 3940 3932 3931 --- 3 3940 3931 3929 --- 3 3940 3929 3941 --- 3 3941 3929 3930 --- 3 3941 3930 3942 --- 3 3941 3942 3944 --- 3 3941 3944 3943 --- 3 3943 3944 3946 --- 3 3943 3946 3945 --- 3 3945 3946 3948 --- 3 3945 3948 3947 --- 3 3938 3945 3947 --- 3 3938 3947 3937 --- 3 3939 3943 3945 --- 3 3939 3945 3938 --- 3 3940 3941 3943 --- 3 3940 3943 3939 --- 3 3870 3950 3949 --- 3 3870 3949 3873 --- 3 3873 3949 3951 --- 3 3952 3951 3949 --- 3 3952 3949 3950 --- 3 3952 3950 3954 --- 3 3952 3954 3953 --- 3 3954 3950 3955 --- 3 3956 3955 3950 --- 3 3956 3950 3870 --- 3 3952 3953 3958 --- 3 3952 3958 3957 --- 3 3958 3961 3960 --- 3 3958 3960 3959 --- 3 3958 3959 3957 --- 3 3960 3963 3962 --- 3 3960 3962 3959 --- 3 3964 3962 3963 --- 3 3964 3963 3965 --- 3 3952 3957 3966 --- 3 3967 3966 3957 --- 3 3967 3957 3959 --- 3 3962 3968 3967 --- 3 3962 3967 3959 --- 3 3964 3969 3968 --- 3 3964 3968 3962 --- 3 3897 3873 3971 --- 3 3897 3971 3970 --- 3 3972 3971 3873 --- 3 3972 3873 3951 --- 3 3972 3951 3952 --- 3 3972 3952 3973 --- 3 3897 3970 3974 --- 3 3897 3974 3899 --- 3 3899 3974 3975 --- 3 3899 3975 3901 --- 3 3913 3904 3977 --- 3 3913 3977 3976 --- 3 3930 3913 3976 --- 3 3930 3976 3978 --- 3 3942 3930 3978 --- 3 3942 3978 3979 --- 3 3944 3942 3979 --- 3 3944 3979 3980 --- 3 3946 3944 3980 --- 3 3946 3980 3981 --- 3 3948 3946 3981 --- 3 3948 3981 3982 --- 3 3901 3975 3983 --- 3 3901 3983 3902 --- 3 3902 3983 3977 --- 3 3902 3977 3904 --- 3 3965 3985 3984 --- 3 3965 3984 3964 --- 3 3964 3984 3986 --- 3 3964 3986 3969 --- 3 3985 3988 3987 --- 3 3985 3987 3984 --- 3 3984 3987 3989 --- 3 3984 3989 3986 --- 3 3990 3989 3987 --- 3 3990 3987 3991 --- 3 3992 3991 3987 --- 3 3992 3987 3988 --- 3 3993 3994 3990 --- 3 3993 3990 3991 --- 3 3995 3993 3991 --- 3 3995 3991 3992 --- 3 3996 3993 3995 --- 3 3996 3995 3997 --- 3 3996 3998 3994 --- 3 3996 3994 3993 --- 3 3994 3998 4000 --- 3 3994 4000 3999 --- 3 3990 3994 3999 --- 3 3990 3999 4001 --- 3 3989 3990 4001 --- 3 3989 4001 4002 --- 3 3969 3986 4004 --- 3 3969 4004 4003 --- 3 3968 3969 4003 --- 3 3968 4003 4005 --- 3 3967 3968 4005 --- 3 3967 4005 4006 --- 3 3989 4002 4004 --- 3 3989 4004 3986 --- 3 3999 4000 4008 --- 3 3999 4008 4007 --- 3 4001 3999 4007 --- 3 4001 4007 4009 --- 3 4002 4001 4009 --- 3 4002 4009 4010 --- 3 4004 4002 4010 --- 3 4004 4010 4011 --- 3 4003 4004 4011 --- 3 4003 4011 4012 --- 3 4009 4007 4013 --- 3 4009 4013 4015 --- 3 4009 4015 4014 --- 3 4009 4014 4016 --- 3 4009 4016 4010 --- 3 4010 4016 4017 --- 3 4010 4017 4011 --- 3 4011 4017 4018 --- 3 4011 4018 4012 --- 3 4005 4003 4012 --- 3 4005 4012 4019 --- 3 4006 4005 4019 --- 3 4006 4019 4020 --- 3 4019 4012 4018 --- 3 4019 4018 4021 --- 3 4020 4019 4021 --- 3 4020 4021 4022 --- 3 3952 3966 4023 --- 3 3952 4023 3973 --- 3 4023 3966 3967 --- 3 4023 3967 4006 --- 3 3972 3973 4025 --- 3 3972 4025 4024 --- 3 3971 3972 4024 --- 3 3971 4024 4026 --- 3 3971 4026 3970 --- 3 3970 4026 4027 --- 3 3970 4027 3974 --- 3 3974 4027 4028 --- 3 3974 4028 3975 --- 3 3975 4028 4029 --- 3 3975 4029 3983 --- 3 3977 3983 4029 --- 3 3977 4029 4030 --- 3 3976 3977 4030 --- 3 3976 4030 4031 --- 3 3978 3976 4031 --- 3 3978 4031 4032 --- 3 3979 3978 4032 --- 3 3979 4032 4033 --- 3 3980 3979 4033 --- 3 3980 4033 4034 --- 3 3981 3980 4034 --- 3 3981 4034 4035 --- 3 3982 3981 4035 --- 3 3982 4035 4036 --- 3 4030 4029 4038 --- 3 4030 4038 4037 --- 3 4039 4038 4029 --- 3 4039 4029 4041 --- 3 4039 4041 4040 --- 3 4031 4030 4037 --- 3 4031 4037 4042 --- 3 4032 4031 4042 --- 3 4032 4042 4043 --- 3 4033 4032 4043 --- 3 4033 4043 4044 --- 3 4034 4033 4044 --- 3 4034 4044 4045 --- 3 4035 4034 4045 --- 3 4035 4045 4046 --- 3 4035 4046 4047 --- 3 4035 4047 4036 --- 3 3973 4023 4048 --- 3 3973 4048 4025 --- 3 4023 4006 4020 --- 3 4023 4020 4048 --- 3 4048 4020 4022 --- 3 4048 4022 4051 --- 3 4048 4051 4050 --- 3 4048 4050 4049 --- 3 4024 4025 4048 --- 3 4024 4048 4049 --- 3 4024 4049 4052 --- 3 4026 4024 4027 --- 3 4027 4024 4028 --- 3 4028 4024 4052 --- 3 4028 4052 4053 --- 3 4053 4041 4029 --- 3 4053 4029 4028 --- 3 4040 4050 4051 --- 3 4040 4051 4039 --- 3 4016 4014 4054 --- 3 4017 4016 4054 --- 3 4017 4054 4055 --- 3 4017 4055 4056 --- 3 4017 4056 4018 --- 3 4018 4056 4057 --- 3 4018 4057 4021 --- 3 4055 4054 4059 --- 3 4055 4059 4058 --- 3 4056 4055 4058 --- 3 4057 4056 4058 --- 3 4057 4058 4060 --- 3 4022 4021 4057 --- 3 4022 4057 4061 --- 3 4022 4061 4062 --- 3 4022 4062 4051 --- 3 4051 4062 4063 --- 3 4051 4063 4039 --- 3 4039 4063 4064 --- 3 4039 4064 4038 --- 3 4061 4057 4060 --- 3 4061 4060 4065 --- 3 4061 4065 4066 --- 3 4061 4066 4062 --- 3 4062 4066 4067 --- 3 4062 4067 4063 --- 3 4063 4067 4068 --- 3 4064 4063 4068 --- 3 4069 4068 4067 --- 3 4069 4067 4066 --- 3 4069 4066 4070 --- 3 4070 4066 4065 --- 3 4070 4065 4071 --- 3 4071 4065 4060 --- 3 4071 4060 4072 --- 3 4072 4060 4058 --- 3 4038 4064 4073 --- 3 4038 4073 4037 --- 3 4037 4073 4074 --- 3 4037 4074 4042 --- 3 4042 4074 4075 --- 3 4042 4075 4043 --- 3 4043 4075 4076 --- 3 4043 4076 4044 --- 3 4044 4076 4077 --- 3 4044 4077 4045 --- 3 4045 4077 4078 --- 3 4045 4078 4046 --- 3 4046 4078 4079 --- 3 4046 4079 4047 --- 3 4073 4064 4068 --- 3 4073 4068 4080 --- 3 4074 4073 4080 --- 3 4075 4074 4080 --- 3 4075 4080 4081 --- 3 4076 4075 4081 --- 3 4077 4076 4081 --- 3 4077 4081 4082 --- 3 4078 4077 4082 --- 3 4078 4082 4083 --- 3 4079 4078 4083 --- 3 4084 3892 3891 --- 3 4085 4088 4087 --- 3 4085 4087 4086 --- 3 4087 3891 4089 --- 3 4086 4087 4089 --- 3 4086 4089 4090 --- 3 4089 3891 3890 --- 3 4089 3890 4091 --- 3 4090 4089 4091 --- 3 4090 4091 4092 --- 3 4091 3890 3888 --- 3 4091 3888 4093 --- 3 4093 3888 3889 --- 3 4093 3889 4094 --- 3 4093 4094 4096 --- 3 4093 4096 4095 --- 3 4092 4091 4093 --- 3 4092 4093 4095 --- 3 4068 4069 4098 --- 3 4068 4098 4097 --- 3 4069 4070 4099 --- 3 4069 4099 4098 --- 3 4070 4071 4100 --- 3 4070 4100 4099 --- 3 4071 4072 4101 --- 3 4071 4101 4100 --- 3 4072 4058 4102 --- 3 4072 4102 4101 --- 3 4058 4059 4102 --- 3 4100 4101 4104 --- 3 4100 4104 4103 --- 3 4099 4100 4103 --- 3 4099 4103 4105 --- 3 4098 4099 4105 --- 3 4098 4105 4106 --- 3 4097 4098 4106 --- 3 4097 4106 4107 --- 3 4080 4068 4097 --- 3 4080 4097 4108 --- 3 4081 4080 4108 --- 3 4081 4108 4109 --- 3 4082 4081 4109 --- 3 4082 4109 4110 --- 3 4083 4082 4110 --- 3 4083 4110 4111 --- 3 4079 4083 4111 --- 3 4079 4111 4112 --- 3 4112 4111 4114 --- 3 4112 4114 4113 --- 3 4114 4111 4110 --- 3 4114 4110 4115 --- 3 4115 4110 4109 --- 3 4115 4109 4116 --- 3 4116 4109 4108 --- 3 4116 4108 4117 --- 3 4117 4108 4097 --- 3 4117 4097 4107 --- 3 3996 3997 4119 --- 3 3996 4119 4118 --- 3 3996 4118 4120 --- 3 3996 4120 3998 --- 3 3998 4120 4121 --- 3 3998 4121 4000 --- 3 4121 4122 4008 --- 3 4121 4008 4000 --- 3 4119 4123 4118 --- 3 4120 4118 4123 --- 3 4120 4123 4124 --- 3 4124 4123 4126 --- 3 4124 4126 4125 --- 3 4125 4126 4128 --- 3 4125 4128 4127 --- 3 4125 4127 4130 --- 3 4125 4130 4129 --- 3 4124 4125 4129 --- 3 4124 4129 4131 --- 3 4120 4124 4131 --- 3 4120 4131 4121 --- 3 4129 4130 4133 --- 3 4129 4133 4132 --- 3 4129 4132 4134 --- 3 4129 4134 4131 --- 3 4131 4134 4122 --- 3 4131 4122 4121 --- 3 4013 4007 4008 --- 3 4013 4008 4135 --- 3 4135 4008 4122 --- 3 4135 4122 4136 --- 3 4136 4122 4134 --- 3 4136 4134 4137 --- 3 4137 4134 4132 --- 3 4137 4132 4138 --- 3 4138 4132 4133 --- 3 4138 4133 4139 --- 3 4015 4013 4135 --- 3 4015 4135 4141 --- 3 4015 4141 4140 --- 3 4140 4141 4142 --- 3 4140 4142 4059 --- 3 4014 4015 4140 --- 3 4014 4140 4054 --- 3 4141 4135 4144 --- 3 4141 4144 4143 --- 3 4142 4141 4143 --- 3 4144 4135 4136 --- 3 4144 4136 4145 --- 3 4145 4136 4137 --- 3 4145 4137 4146 --- 3 4146 4137 4138 --- 3 4146 4138 4147 --- 3 4147 4138 4139 --- 3 4147 4139 4148 --- 3 4147 4148 4150 --- 3 4147 4150 4149 --- 3 4146 4147 4149 --- 3 4146 4149 4151 --- 3 4145 4146 4151 --- 3 4145 4151 4152 --- 3 4144 4145 4152 --- 3 4144 4152 4153 --- 3 4143 4144 4153 --- 3 4102 4059 4142 --- 3 4102 4142 4154 --- 3 4101 4102 4154 --- 3 4101 4154 4104 --- 3 4143 4154 4142 --- 3 4104 4154 4143 --- 3 4104 4143 4155 --- 3 4103 4104 4155 --- 3 4103 4155 4156 --- 3 4157 4105 4103 --- 3 4157 4103 4156 --- 3 4106 4105 4157 --- 3 4106 4157 4158 --- 3 4107 4106 4158 --- 3 4107 4158 4159 --- 3 4117 4107 4159 --- 3 4117 4159 4160 --- 3 4116 4117 4160 --- 3 4116 4160 4161 --- 3 4115 4116 4161 --- 3 4115 4161 4162 --- 3 4163 4114 4115 --- 3 4163 4115 4162 --- 3 4113 4114 4163 --- 3 4113 4163 4164 --- 3 4149 4150 4166 --- 3 4149 4166 4165 --- 3 4151 4149 4165 --- 3 4151 4165 4167 --- 3 4152 4151 4167 --- 3 4152 4167 4168 --- 3 4153 4152 4168 --- 3 4153 4168 4169 --- 3 4143 4153 4169 --- 3 4143 4169 4155 --- 3 4165 4166 4171 --- 3 4165 4171 4170 --- 3 4167 4165 4170 --- 3 4167 4170 4172 --- 3 4168 4167 4172 --- 3 4168 4172 4173 --- 3 4174 4168 4173 --- 3 4169 4168 4174 --- 3 4169 4174 4175 --- 3 4155 4169 4175 --- 3 4155 4175 4156 --- 3 4170 4171 4177 --- 3 4170 4177 4176 --- 3 4172 4170 4176 --- 3 4172 4176 4178 --- 3 4173 4172 4178 --- 3 4173 4178 4179 --- 3 4174 4173 4179 --- 3 4174 4179 4180 --- 3 4175 4174 4180 --- 3 4175 4180 4181 --- 3 4176 4177 4183 --- 3 4176 4183 4182 --- 3 4178 4176 4182 --- 3 4178 4182 4184 --- 3 4179 4178 4184 --- 3 4179 4184 4185 --- 3 4180 4179 4185 --- 3 4180 4185 4186 --- 3 4187 4180 4186 --- 3 4181 4180 4187 --- 3 4181 4187 4188 --- 3 4182 4183 4190 --- 3 4182 4190 4189 --- 3 4184 4182 4189 --- 3 4184 4189 4191 --- 3 4185 4184 4191 --- 3 4185 4191 4192 --- 3 4186 4185 4192 --- 3 4186 4192 4193 --- 3 4187 4186 4193 --- 3 4187 4193 4194 --- 3 4188 4187 4194 --- 3 4188 4194 4195 --- 3 4189 4190 4197 --- 3 4189 4197 4196 --- 3 4191 4189 4196 --- 3 4191 4196 4198 --- 3 4192 4191 4198 --- 3 4192 4198 4199 --- 3 4193 4192 4199 --- 3 4193 4199 4200 --- 3 4194 4193 4200 --- 3 4194 4200 4201 --- 3 4195 4194 4201 --- 3 4195 4201 4202 --- 3 4196 4197 4204 --- 3 4196 4204 4203 --- 3 4198 4196 4203 --- 3 4198 4203 4205 --- 3 4199 4198 4205 --- 3 4199 4205 4206 --- 3 4200 4199 4206 --- 3 4200 4206 4207 --- 3 4201 4200 4207 --- 3 4201 4207 4208 --- 3 4202 4201 4208 --- 3 4202 4208 4209 --- 3 4203 4204 4211 --- 3 4203 4211 4210 --- 3 4210 4211 4213 --- 3 4210 4213 4212 --- 3 4212 4213 4215 --- 3 4212 4215 4214 --- 3 4205 4203 4210 --- 3 4205 4210 4216 --- 3 4216 4210 4212 --- 3 4216 4212 4217 --- 3 4217 4212 4214 --- 3 4217 4214 4218 --- 3 4206 4205 4216 --- 3 4206 4216 4219 --- 3 4219 4216 4217 --- 3 4219 4217 4220 --- 3 4220 4217 4218 --- 3 4220 4218 4221 --- 3 4207 4206 4219 --- 3 4207 4219 4222 --- 3 4222 4219 4220 --- 3 4222 4220 4223 --- 3 4223 4220 4221 --- 3 4223 4221 4224 --- 3 4208 4207 4222 --- 3 4208 4222 4225 --- 3 4225 4222 4223 --- 3 4225 4223 4226 --- 3 4226 4223 4224 --- 3 4226 4224 4227 --- 3 4209 4208 4225 --- 3 4209 4225 4228 --- 3 4228 4225 4226 --- 3 4228 4226 4229 --- 3 4229 4226 4227 --- 3 4229 4227 4230 --- 3 4156 4175 4181 --- 3 4156 4181 4157 --- 3 4157 4181 4188 --- 3 4157 4188 4158 --- 3 4158 4188 4195 --- 3 4158 4195 4159 --- 3 4159 4195 4202 --- 3 4159 4202 4160 --- 3 4160 4202 4209 --- 3 4160 4209 4161 --- 3 4161 4209 4228 --- 3 4161 4228 4162 --- 3 4162 4228 4229 --- 3 4162 4229 4163 --- 3 4163 4229 4230 --- 3 4163 4230 4164 --- 3 4054 4140 4059 --- 3 4088 4084 3891 --- 3 4088 3891 4087 --- 3 4231 4239 4238 --- 3 4231 4238 4237 --- 3 4231 4237 4236 --- 3 4231 4236 4235 --- 3 4231 4235 4234 --- 3 4231 4234 4233 --- 3 4231 4233 4232 --- 3 4236 4096 4094 --- 3 4236 4094 4240 --- 3 4240 4094 3889 --- 3 4240 3889 4241 --- 3 4241 3889 3886 --- 3 4241 3886 4242 --- 3 4242 3886 3887 --- 3 4242 3887 4243 --- 3 4243 3887 3936 --- 3 4243 3936 4244 --- 3 4244 3936 3937 --- 3 4244 3937 4245 --- 3 4245 3937 3947 --- 3 4245 3947 4246 --- 3 4246 3947 3948 --- 3 4246 3948 4247 --- 3 4247 3948 3982 --- 3 4247 3982 4248 --- 3 4248 3982 4036 --- 3 4248 4036 4249 --- 3 4249 4036 4047 --- 3 4249 4047 4250 --- 3 4250 4047 4079 --- 3 4250 4079 4251 --- 3 4251 4079 4112 --- 3 4251 4112 4252 --- 3 4252 4112 4113 --- 3 4252 4113 4253 --- 3 4253 4113 4164 --- 3 4253 4164 4254 --- 3 4254 4164 4230 --- 3 4254 4230 4255 --- 3 4255 4230 4227 --- 3 4255 4227 4235 --- 3 4235 4227 4224 --- 3 4235 4224 4234 --- 3 4234 4224 4221 --- 3 4234 4221 4233 --- 3 4233 4221 4218 --- 3 4233 4218 4232 --- 3 4232 4218 4214 --- 3 4232 4214 4231 --- 3 4231 4214 4215 --- 3 4231 4215 4239 --- 3 4254 4255 4249 --- 3 4254 4249 4250 --- 3 4254 4250 4251 --- 3 4254 4251 4252 --- 3 4254 4252 4253 --- 3 4255 4235 4236 --- 3 4255 4236 4240 --- 3 4255 4240 4241 --- 3 4255 4241 4242 --- 3 4255 4242 4243 --- 3 4255 4243 4244 --- 3 4255 4244 4245 --- 3 4255 4245 4246 --- 3 4255 4246 4247 --- 3 4255 4247 4248 --- 3 4255 4248 4249 --- 3 4256 4259 4258 --- 3 4256 4258 4257 --- 3 4260 4261 4259 --- 3 4260 4259 4256 --- 3 4262 4263 4261 --- 3 4262 4261 4260 --- 3 4264 4265 4263 --- 3 4264 4263 4262 --- 3 4266 4267 4265 --- 3 4266 4265 4264 --- 3 4268 4269 4267 --- 3 4268 4267 4266 --- 3 4270 4271 4269 --- 3 4270 4269 4268 --- 3 4272 4273 4271 --- 3 4272 4271 4270 --- 3 4274 4272 4270 --- 3 4274 4270 4275 --- 3 4275 4270 4268 --- 3 4275 4268 4276 --- 3 4276 4268 4266 --- 3 4276 4266 4277 --- 3 4277 4266 4264 --- 3 4277 4264 4278 --- 3 4278 4264 4262 --- 3 4278 4262 4279 --- 3 4279 4262 4260 --- 3 4279 4260 4280 --- 3 4280 4260 4256 --- 3 4280 4256 4281 --- 3 4281 4256 4257 --- 3 4282 4283 4258 --- 3 4282 4258 4259 --- 3 4284 4285 4283 --- 3 4284 4283 4282 --- 3 4286 4287 4285 --- 3 4286 4285 4284 --- 3 4286 4288 4287 --- 3 4289 4290 4288 --- 3 4289 4288 4286 --- 3 4291 4289 4286 --- 3 4291 4286 4284 --- 3 4291 4284 4292 --- 3 4293 4292 4284 --- 3 4293 4284 4282 --- 3 4293 4282 4294 --- 3 4261 4294 4282 --- 3 4261 4282 4259 --- 3 4295 4296 4294 --- 3 4295 4294 4261 --- 3 4295 4261 4263 --- 3 4297 4299 4290 --- 3 4297 4290 4289 --- 3 4297 4289 4298 --- 3 4298 4289 4291 --- 3 4300 4298 4291 --- 3 4300 4291 4301 --- 3 4302 4297 4298 --- 3 4302 4298 4300 --- 3 4302 4300 4303 --- 3 4294 4296 4293 --- 3 4295 4304 4296 --- 3 4296 4306 4305 --- 3 4296 4305 4293 --- 3 4304 4307 4306 --- 3 4304 4306 4296 --- 3 4300 4301 4308 --- 3 4303 4300 4308 --- 3 4305 4306 4309 --- 3 4306 4307 4309 --- 3 4310 4301 4291 --- 3 4310 4291 4292 --- 3 4305 4310 4292 --- 3 4305 4292 4293 --- 3 4310 4311 4308 --- 3 4310 4308 4301 --- 3 4305 4309 4311 --- 3 4305 4311 4310 --- 3 4312 4303 4308 --- 3 4312 4308 4313 --- 3 4307 4312 4313 --- 3 4307 4313 4309 --- 3 4314 4312 4307 --- 3 4314 4307 4304 --- 3 4302 4303 4312 --- 3 4302 4312 4314 --- 3 4309 4313 4308 --- 3 4309 4308 4311 --- 3 4315 4316 4299 --- 3 4315 4299 4297 --- 3 4317 4315 4297 --- 3 4317 4297 4302 --- 3 4317 4302 4314 --- 3 4318 4317 4314 --- 3 4318 4314 4304 --- 3 4318 4304 4295 --- 3 4265 4318 4295 --- 3 4265 4295 4263 --- 3 4267 4319 4318 --- 3 4267 4318 4265 --- 3 4269 4320 4319 --- 3 4269 4319 4267 --- 3 4271 4321 4320 --- 3 4271 4320 4269 --- 3 4273 4322 4321 --- 3 4273 4321 4271 --- 3 4323 4321 4322 --- 3 4323 4322 4324 --- 3 4325 4320 4321 --- 3 4325 4321 4323 --- 3 4326 4319 4320 --- 3 4326 4320 4325 --- 3 4317 4318 4319 --- 3 4317 4319 4326 --- 3 4327 4315 4317 --- 3 4327 4317 4326 --- 3 4328 4316 4315 --- 3 4328 4315 4327 --- 3 4329 4330 4328 --- 3 4329 4328 4327 --- 3 4331 4332 4330 --- 3 4331 4330 4329 --- 3 4333 4334 4332 --- 3 4333 4332 4331 --- 3 4324 4333 4331 --- 3 4324 4331 4323 --- 3 4323 4331 4329 --- 3 4323 4329 4325 --- 3 4325 4329 4327 --- 3 4325 4327 4326 --- 3 4258 4336 4335 --- 3 4258 4335 4257 --- 3 4258 4337 4336 --- 3 4338 4336 4337 --- 3 4339 4335 4336 --- 3 4339 4336 4338 --- 3 4339 4338 4340 --- 3 4339 4341 4335 --- 3 4342 4335 4341 --- 3 4342 4257 4335 --- 3 4343 4344 4340 --- 3 4343 4340 4338 --- 3 4345 4347 4346 --- 3 4345 4346 4344 --- 3 4345 4344 4343 --- 3 4345 4349 4348 --- 3 4345 4348 4347 --- 3 4350 4348 4349 --- 3 4350 4349 4351 --- 3 4338 4352 4343 --- 3 4345 4343 4352 --- 3 4345 4352 4353 --- 3 4345 4353 4354 --- 3 4345 4354 4349 --- 3 4349 4354 4355 --- 3 4349 4355 4351 --- 3 4356 4357 4258 --- 3 4356 4258 4283 --- 3 4337 4258 4357 --- 3 4337 4357 4358 --- 3 4359 4338 4337 --- 3 4359 4337 4358 --- 3 4285 4360 4356 --- 3 4285 4356 4283 --- 3 4287 4361 4360 --- 3 4287 4360 4285 --- 3 4362 4363 4290 --- 3 4362 4290 4299 --- 3 4364 4362 4299 --- 3 4364 4299 4316 --- 3 4365 4364 4316 --- 3 4365 4316 4328 --- 3 4366 4365 4328 --- 3 4366 4328 4330 --- 3 4367 4366 4330 --- 3 4367 4330 4332 --- 3 4368 4367 4332 --- 3 4368 4332 4334 --- 3 4288 4369 4361 --- 3 4288 4361 4287 --- 3 4290 4363 4369 --- 3 4290 4369 4288 --- 3 4351 4371 4370 --- 3 4351 4370 4350 --- 3 4355 4372 4371 --- 3 4355 4371 4351 --- 3 4371 4374 4373 --- 3 4371 4373 4370 --- 3 4372 4375 4374 --- 3 4372 4374 4371 --- 3 4376 4374 4375 --- 3 4376 4375 4377 --- 3 4373 4374 4376 --- 3 4373 4376 4378 --- 3 4376 4377 4380 --- 3 4376 4380 4379 --- 3 4378 4376 4379 --- 3 4378 4379 4381 --- 3 4382 4381 4379 --- 3 4382 4379 4383 --- 3 4379 4380 4384 --- 3 4379 4384 4383 --- 3 4385 4386 4384 --- 3 4385 4384 4380 --- 3 4387 4385 4380 --- 3 4387 4380 4377 --- 3 4388 4387 4377 --- 3 4388 4377 4375 --- 3 4389 4390 4372 --- 3 4389 4372 4355 --- 3 4391 4389 4355 --- 3 4391 4355 4354 --- 3 4392 4391 4354 --- 3 4392 4354 4353 --- 3 4372 4390 4388 --- 3 4372 4388 4375 --- 3 4393 4394 4386 --- 3 4393 4386 4385 --- 3 4395 4393 4385 --- 3 4395 4385 4387 --- 3 4396 4395 4387 --- 3 4396 4387 4388 --- 3 4397 4396 4388 --- 3 4397 4388 4390 --- 3 4398 4397 4390 --- 3 4398 4390 4389 --- 3 4395 4399 4393 --- 3 4400 4401 4399 --- 3 4400 4399 4395 --- 3 4396 4402 4400 --- 3 4396 4400 4395 --- 3 4397 4403 4402 --- 3 4397 4402 4396 --- 3 4398 4404 4403 --- 3 4398 4403 4397 --- 3 4405 4398 4389 --- 3 4405 4389 4391 --- 3 4406 4405 4391 --- 3 4406 4391 4392 --- 3 4407 4404 4398 --- 3 4407 4398 4405 --- 3 4408 4407 4405 --- 3 4408 4405 4406 --- 3 4359 4409 4352 --- 3 4359 4352 4338 --- 3 4392 4353 4352 --- 3 4392 4352 4409 --- 3 4410 4411 4359 --- 3 4410 4359 4358 --- 3 4412 4410 4358 --- 3 4412 4358 4357 --- 3 4357 4356 4412 --- 3 4360 4413 4412 --- 3 4360 4412 4356 --- 3 4361 4414 4413 --- 3 4361 4413 4360 --- 3 4369 4415 4414 --- 3 4369 4414 4361 --- 3 4416 4415 4369 --- 3 4416 4369 4363 --- 3 4417 4416 4363 --- 3 4417 4363 4362 --- 3 4418 4417 4362 --- 3 4418 4362 4364 --- 3 4419 4418 4364 --- 3 4419 4364 4365 --- 3 4420 4419 4365 --- 3 4420 4365 4366 --- 3 4421 4420 4366 --- 3 4421 4366 4367 --- 3 4422 4421 4367 --- 3 4422 4367 4368 --- 3 4423 4424 4415 --- 3 4423 4415 4416 --- 3 4425 4415 4424 --- 3 4425 4424 4427 --- 3 4425 4427 4426 --- 3 4428 4423 4416 --- 3 4428 4416 4417 --- 3 4429 4428 4417 --- 3 4429 4417 4418 --- 3 4430 4429 4418 --- 3 4430 4418 4419 --- 3 4431 4430 4419 --- 3 4431 4419 4420 --- 3 4432 4431 4420 --- 3 4432 4420 4421 --- 3 4422 4433 4432 --- 3 4422 4432 4421 --- 3 4411 4434 4409 --- 3 4411 4409 4359 --- 3 4434 4406 4392 --- 3 4434 4392 4409 --- 3 4435 4408 4406 --- 3 4435 4406 4434 --- 3 4435 4434 4437 --- 3 4435 4437 4436 --- 3 4410 4434 4411 --- 3 4438 4437 4434 --- 3 4438 4434 4410 --- 3 4412 4413 4410 --- 3 4413 4414 4410 --- 3 4439 4438 4410 --- 3 4439 4410 4414 --- 3 4414 4415 4425 --- 3 4414 4425 4439 --- 3 4427 4435 4436 --- 3 4427 4436 4426 --- 3 4402 4440 4400 --- 3 4441 4440 4402 --- 3 4441 4402 4403 --- 3 4404 4442 4441 --- 3 4404 4441 4403 --- 3 4407 4443 4442 --- 3 4407 4442 4404 --- 3 4444 4445 4440 --- 3 4444 4440 4441 --- 3 4442 4444 4441 --- 3 4446 4444 4442 --- 3 4446 4442 4443 --- 3 4447 4443 4407 --- 3 4447 4407 4408 --- 3 4435 4448 4447 --- 3 4435 4447 4408 --- 3 4427 4449 4448 --- 3 4427 4448 4435 --- 3 4424 4450 4449 --- 3 4424 4449 4427 --- 3 4451 4446 4443 --- 3 4451 4443 4447 --- 3 4448 4452 4451 --- 3 4448 4451 4447 --- 3 4449 4453 4452 --- 3 4449 4452 4448 --- 3 4449 4454 4453 --- 3 4450 4454 4449 --- 3 4455 4453 4454 --- 3 4456 4452 4453 --- 3 4456 4453 4455 --- 3 4457 4451 4452 --- 3 4457 4452 4456 --- 3 4458 4446 4451 --- 3 4458 4451 4457 --- 3 4458 4444 4446 --- 3 4423 4459 4450 --- 3 4423 4450 4424 --- 3 4428 4460 4459 --- 3 4428 4459 4423 --- 3 4429 4461 4460 --- 3 4429 4460 4428 --- 3 4430 4462 4461 --- 3 4430 4461 4429 --- 3 4431 4463 4462 --- 3 4431 4462 4430 --- 3 4432 4464 4463 --- 3 4432 4463 4431 --- 3 4433 4465 4464 --- 3 4433 4464 4432 --- 3 4466 4454 4450 --- 3 4466 4450 4459 --- 3 4460 4466 4459 --- 3 4467 4466 4460 --- 3 4467 4460 4461 --- 3 4462 4467 4461 --- 3 4468 4467 4462 --- 3 4468 4462 4463 --- 3 4469 4468 4463 --- 3 4469 4463 4464 --- 3 4465 4469 4464 --- 3 4470 4277 4278 --- 3 4471 4474 4473 --- 3 4471 4473 4472 --- 3 4474 4475 4277 --- 3 4476 4475 4474 --- 3 4476 4474 4471 --- 3 4477 4276 4277 --- 3 4477 4277 4475 --- 3 4478 4477 4475 --- 3 4478 4475 4476 --- 3 4479 4275 4276 --- 3 4479 4276 4477 --- 3 4480 4274 4275 --- 3 4480 4275 4479 --- 3 4481 4482 4480 --- 3 4481 4480 4479 --- 3 4481 4479 4477 --- 3 4481 4477 4478 --- 3 4483 4484 4455 --- 3 4483 4455 4454 --- 3 4484 4485 4456 --- 3 4484 4456 4455 --- 3 4485 4486 4457 --- 3 4485 4457 4456 --- 3 4486 4487 4458 --- 3 4486 4458 4457 --- 3 4487 4488 4444 --- 3 4487 4444 4458 --- 3 4444 4488 4445 --- 3 4489 4490 4487 --- 3 4489 4487 4486 --- 3 4491 4489 4486 --- 3 4491 4486 4485 --- 3 4492 4491 4485 --- 3 4492 4485 4484 --- 3 4493 4492 4484 --- 3 4493 4484 4483 --- 3 4494 4483 4454 --- 3 4494 4454 4466 --- 3 4495 4494 4466 --- 3 4495 4466 4467 --- 3 4496 4495 4467 --- 3 4496 4467 4468 --- 3 4497 4496 4468 --- 3 4497 4468 4469 --- 3 4498 4497 4469 --- 3 4498 4469 4465 --- 3 4499 4500 4497 --- 3 4499 4497 4498 --- 3 4501 4496 4497 --- 3 4501 4497 4500 --- 3 4502 4495 4496 --- 3 4502 4496 4501 --- 3 4503 4494 4495 --- 3 4503 4495 4502 --- 3 4493 4483 4494 --- 3 4493 4494 4503 --- 3 4504 4505 4382 --- 3 4504 4382 4383 --- 3 4384 4506 4504 --- 3 4384 4504 4383 --- 3 4386 4507 4506 --- 3 4386 4506 4384 --- 3 4386 4394 4508 --- 3 4386 4508 4507 --- 3 4505 4504 4509 --- 3 4510 4509 4504 --- 3 4510 4504 4506 --- 3 4511 4512 4509 --- 3 4511 4509 4510 --- 3 4127 4128 4512 --- 3 4127 4512 4511 --- 3 4513 4130 4127 --- 3 4513 4127 4511 --- 3 4514 4513 4511 --- 3 4514 4511 4510 --- 3 4507 4514 4510 --- 3 4507 4510 4506 --- 3 4515 4133 4130 --- 3 4515 4130 4513 --- 3 4514 4516 4515 --- 3 4514 4515 4513 --- 3 4507 4508 4516 --- 3 4507 4516 4514 --- 3 4517 4394 4393 --- 3 4517 4393 4399 --- 3 4518 4508 4394 --- 3 4518 4394 4517 --- 3 4519 4516 4508 --- 3 4519 4508 4518 --- 3 4520 4515 4516 --- 3 4520 4516 4519 --- 3 4139 4133 4515 --- 3 4139 4515 4520 --- 3 4401 4517 4399 --- 3 4521 4522 4517 --- 3 4521 4517 4401 --- 3 4445 4523 4522 --- 3 4445 4522 4521 --- 3 4440 4521 4401 --- 3 4440 4401 4400 --- 3 4524 4525 4517 --- 3 4524 4517 4522 --- 3 4523 4524 4522 --- 3 4526 4518 4517 --- 3 4526 4517 4525 --- 3 4527 4519 4518 --- 3 4527 4518 4526 --- 3 4528 4520 4519 --- 3 4528 4519 4527 --- 3 4148 4139 4520 --- 3 4148 4520 4528 --- 3 4529 4150 4148 --- 3 4529 4148 4528 --- 3 4530 4529 4528 --- 3 4530 4528 4527 --- 3 4531 4530 4527 --- 3 4531 4527 4526 --- 3 4532 4531 4526 --- 3 4532 4526 4525 --- 3 4524 4532 4525 --- 3 4533 4523 4445 --- 3 4533 4445 4488 --- 3 4490 4533 4488 --- 3 4490 4488 4487 --- 3 4524 4523 4533 --- 3 4534 4524 4533 --- 3 4534 4533 4490 --- 3 4535 4534 4490 --- 3 4535 4490 4489 --- 3 4535 4489 4491 --- 3 4535 4491 4536 --- 3 4537 4536 4491 --- 3 4537 4491 4492 --- 3 4538 4537 4492 --- 3 4538 4492 4493 --- 3 4539 4538 4493 --- 3 4539 4493 4503 --- 3 4540 4539 4503 --- 3 4540 4503 4502 --- 3 4541 4540 4502 --- 3 4541 4502 4501 --- 3 4541 4501 4500 --- 3 4541 4500 4542 --- 3 4543 4542 4500 --- 3 4543 4500 4499 --- 3 4544 4166 4150 --- 3 4544 4150 4529 --- 3 4545 4544 4529 --- 3 4545 4529 4530 --- 3 4546 4545 4530 --- 3 4546 4530 4531 --- 3 4547 4546 4531 --- 3 4547 4531 4532 --- 3 4534 4547 4532 --- 3 4534 4532 4524 --- 3 4548 4171 4166 --- 3 4548 4166 4544 --- 3 4549 4548 4544 --- 3 4549 4544 4545 --- 3 4550 4549 4545 --- 3 4550 4545 4546 --- 3 4551 4550 4546 --- 3 4552 4551 4546 --- 3 4552 4546 4547 --- 3 4535 4552 4547 --- 3 4535 4547 4534 --- 3 4553 4177 4171 --- 3 4553 4171 4548 --- 3 4554 4553 4548 --- 3 4554 4548 4549 --- 3 4555 4554 4549 --- 3 4555 4549 4550 --- 3 4556 4555 4550 --- 3 4556 4550 4551 --- 3 4557 4556 4551 --- 3 4557 4551 4552 --- 3 4558 4183 4177 --- 3 4558 4177 4553 --- 3 4559 4558 4553 --- 3 4559 4553 4554 --- 3 4560 4559 4554 --- 3 4560 4554 4555 --- 3 4561 4560 4555 --- 3 4561 4555 4556 --- 3 4562 4561 4556 --- 3 4563 4562 4556 --- 3 4563 4556 4557 --- 3 4564 4190 4183 --- 3 4564 4183 4558 --- 3 4565 4564 4558 --- 3 4565 4558 4559 --- 3 4566 4565 4559 --- 3 4566 4559 4560 --- 3 4567 4566 4560 --- 3 4567 4560 4561 --- 3 4568 4567 4561 --- 3 4568 4561 4562 --- 3 4569 4568 4562 --- 3 4569 4562 4563 --- 3 4570 4197 4190 --- 3 4570 4190 4564 --- 3 4571 4570 4564 --- 3 4571 4564 4565 --- 3 4572 4571 4565 --- 3 4572 4565 4566 --- 3 4573 4572 4566 --- 3 4573 4566 4567 --- 3 4574 4573 4567 --- 3 4574 4567 4568 --- 3 4575 4574 4568 --- 3 4575 4568 4569 --- 3 4576 4204 4197 --- 3 4576 4197 4570 --- 3 4577 4576 4570 --- 3 4577 4570 4571 --- 3 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4754 4739 4755 --- 3 4754 4755 4757 --- 3 4754 4757 4756 --- 3 4746 4754 4756 --- 3 4746 4756 4749 --- 3 4749 4756 4758 --- 3 4749 4758 4759 --- 3 4749 4759 4751 --- 3 4760 4759 4758 --- 3 4760 4758 4761 --- 3 4761 4758 4756 --- 3 4761 4756 4757 --- 3 2977 3449 4752 --- 3 2977 4752 4753 --- 3 4762 4085 4086 --- 3 4762 4086 4090 --- 3 4762 4090 4763 --- 3 4764 4762 4763 --- 3 4763 4090 4092 --- 3 4763 4092 4765 --- 3 4764 4763 4765 --- 3 4764 4765 4766 --- 3 4765 4092 4095 --- 3 4765 4095 4767 --- 3 4767 4095 4096 --- 3 4767 4096 4768 --- 3 4766 4765 4767 --- 3 4766 4767 4769 --- 3 4769 4767 4768 --- 3 4769 4768 4770 --- 3 3461 4736 4735 --- 3 3461 4735 3452 --- 3 4627 4119 3997 --- 3 4627 3997 4673 --- 3 4680 4679 3963 --- 3 4680 3963 3960 --- 3 3451 3567 3555 --- 3 3451 3555 4743 --- 3 4731 4730 3476 --- 3 4731 3476 3459 --- 3 3476 4730 3475 --- 3 4729 4743 3555 --- 3 3542 3475 4729 --- 3 3542 4729 3555 --- 3 3542 3555 3546 --- 3 4730 4729 3475 --- 3 4771 4773 4772 --- 3 4773 4775 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4815 4909 4908 --- 3 4815 4908 4816 --- 3 4809 4910 4909 --- 3 4809 4909 4815 --- 3 4806 4911 4910 --- 3 4806 4910 4809 --- 3 4807 4912 4911 --- 3 4807 4911 4806 --- 3 2982 4910 4911 --- 3 2982 4911 2981 --- 3 2984 4909 4910 --- 3 2984 4910 2982 --- 3 2986 4908 4909 --- 3 2986 4909 2984 --- 3 2988 4907 4908 --- 3 2988 4908 2986 --- 3 4913 4900 4899 --- 3 4913 4899 4914 --- 3 4915 4901 4900 --- 3 4915 4900 4913 --- 3 4916 4914 4899 --- 3 4917 4916 4899 --- 3 4918 4917 4899 --- 3 4918 4899 4904 --- 3 4919 4918 4904 --- 3 4919 4904 4905 --- 3 4920 4921 4916 --- 3 4920 4916 4917 --- 3 4914 4916 4921 --- 3 4914 4921 4922 --- 3 4920 4917 4918 --- 3 2980 4923 4919 --- 3 4918 4919 4923 --- 3 4918 4923 4920 --- 3 4921 4925 4924 --- 3 4921 4924 4922 --- 3 4751 4924 4925 --- 3 4751 4925 4750 --- 3 4926 4925 4921 --- 3 4926 4921 4920 --- 3 4926 4920 4923 --- 3 4926 4923 2980 --- 3 4926 2980 2976 --- 3 4750 4925 4926 --- 3 4750 4926 4753 --- 3 4927 4913 4914 --- 3 4927 4914 4922 --- 3 4928 4915 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5106 5105 5107 --- 3 5107 5105 4928 --- 3 5107 4928 4930 --- 3 5108 5100 5103 --- 3 5108 5103 5106 --- 3 4932 5110 5109 --- 3 4932 5109 4930 --- 3 4760 4996 5110 --- 3 4760 5110 4932 --- 3 5111 5110 4996 --- 3 5111 4996 4997 --- 3 5112 5109 5110 --- 3 5112 5110 5111 --- 3 5106 5107 5109 --- 3 5106 5109 5112 --- 3 5113 5108 5106 --- 3 5114 5113 5106 --- 3 5114 5106 5112 --- 3 5115 5114 5112 --- 3 5115 5112 5111 --- 3 5003 5115 5111 --- 3 5003 5111 4997 --- 3 5116 5108 5113 --- 3 5117 5116 5113 --- 3 5117 5113 5114 --- 3 5118 5117 5114 --- 3 5118 5114 5115 --- 3 5007 5118 5115 --- 3 5007 5115 5003 --- 3 5119 5120 5108 --- 3 5119 5108 5116 --- 3 5121 5100 5108 --- 3 5121 5108 5120 --- 3 5122 5121 5120 --- 3 5122 5120 5123 --- 3 5121 5124 5097 --- 3 5121 5097 5100 --- 3 5125 4881 4892 --- 3 5125 4892 5124 --- 3 5097 5124 4892 --- 3 5097 4892 5095 --- 3 5122 5125 5124 --- 3 5122 5124 5121 --- 3 4880 4881 5125 --- 3 4880 5125 5126 --- 3 5126 5125 5122 --- 3 5126 5122 5127 --- 3 5127 5122 5123 --- 3 5127 5123 5128 --- 3 5129 5123 5120 --- 3 5129 5120 5119 --- 3 5130 4879 4880 --- 3 5130 4880 5126 --- 3 5130 5126 5127 --- 3 4874 4879 5130 --- 3 4874 5130 5131 --- 3 5131 5130 5127 --- 3 5131 5127 5132 --- 3 5128 5132 5127 --- 3 5133 5128 5123 --- 3 5133 5123 5129 --- 3 5134 5132 5128 --- 3 5134 5128 5133 --- 3 5135 5131 5132 --- 3 5135 5136 4874 --- 3 5135 4874 5131 --- 3 5137 4873 4874 --- 3 5138 4873 5137 --- 3 5138 5137 5139 --- 3 5140 5137 4874 --- 3 5136 5140 4874 --- 3 5139 5137 5140 --- 3 5139 5140 5141 --- 3 5136 5141 5140 --- 3 5142 5141 5136 --- 3 5142 5136 5143 --- 3 5144 5139 5141 --- 3 5144 5141 5142 --- 3 5145 5143 5136 --- 3 5145 5136 5135 --- 3 5146 5135 5132 --- 3 5146 5132 5134 --- 3 5147 5145 5135 --- 3 5147 5135 5146 --- 3 5148 5149 5116 --- 3 5148 5116 5117 --- 3 5150 5148 5117 --- 3 5150 5117 5118 --- 3 5040 5150 5118 --- 3 5040 5118 5007 --- 3 5041 5151 5150 --- 3 5041 5150 5040 --- 3 5152 5148 5150 --- 3 5152 5150 5151 --- 3 5153 5149 5148 --- 3 5153 5148 5152 --- 3 5041 5045 4945 --- 3 5041 4945 5151 --- 3 5152 5151 4945 --- 3 5152 4945 4943 --- 3 4941 5153 5152 --- 3 4941 5152 4943 --- 3 5154 5119 5116 --- 3 5154 5116 5149 --- 3 5155 5129 5119 --- 3 5155 5119 5154 --- 3 5155 5133 5129 --- 3 5155 5134 5133 --- 3 5156 5146 5134 --- 3 5156 5134 5155 --- 3 5157 5147 5146 --- 3 5157 5146 5156 --- 3 5158 5154 5149 --- 3 5158 5149 5153 --- 3 5159 5155 5154 --- 3 5159 5154 5158 --- 3 5160 5156 5155 --- 3 5160 5155 5159 --- 3 4942 5158 5153 --- 3 4942 5153 4941 --- 3 4944 5159 5158 --- 3 4944 5158 4942 --- 3 4946 5160 5159 --- 3 4946 5159 4944 --- 3 4947 5161 5160 --- 3 4947 5160 4946 --- 3 5161 5157 5156 --- 3 5161 5156 5160 --- 3 5162 5163 5157 --- 3 5162 5157 5161 --- 3 4948 5162 5161 --- 3 4948 5161 4947 --- 3 4949 5164 5162 --- 3 4949 5162 4948 --- 3 5165 5163 5164 --- 3 5162 5164 5163 --- 3 5157 5163 5165 --- 3 5157 5165 5147 --- 3 4950 5166 5164 --- 3 4950 5164 4949 --- 3 5166 5167 5164 --- 3 5165 5164 5167 --- 3 5165 5167 5168 --- 3 5169 5170 5165 --- 3 5169 5165 5168 --- 3 5170 5171 5165 --- 3 5147 5165 5171 --- 3 5147 5171 5145 --- 3 5172 5143 5145 --- 3 5172 5145 5171 --- 3 5173 5142 5143 --- 3 5173 5143 5172 --- 3 5174 5144 5142 --- 3 5174 5142 5173 --- 3 5173 5175 5174 --- 3 5176 4872 4873 --- 3 5176 4873 5138 --- 3 5177 4870 4872 --- 3 5177 4872 5176 --- 3 5177 4869 4870 --- 3 4281 4869 5177 --- 3 4281 5177 5178 --- 3 4281 5178 4280 --- 3 4279 4280 5178 --- 3 4279 5178 5179 --- 3 4278 4279 5179 --- 3 4470 4278 5180 --- 3 5179 5181 5180 --- 3 5179 5180 4278 --- 3 5179 5182 5181 --- 3 5179 5178 5182 --- 3 5182 5178 5177 --- 3 5183 5182 5177 --- 3 5183 5177 5184 --- 3 5184 5177 5176 --- 3 5184 5176 5185 --- 3 5186 4470 5180 --- 3 5187 5186 5180 --- 3 5188 5187 5180 --- 3 5188 5180 5189 --- 3 5190 5188 5189 --- 3 5190 5189 5191 --- 3 5192 5138 5139 --- 3 5185 5176 5138 --- 3 5185 5138 5192 --- 3 5144 5193 5139 --- 3 5194 5139 5193 --- 3 5195 5194 5193 --- 3 5195 5193 5196 --- 3 5197 5195 5196 --- 3 5181 5182 5195 --- 3 5181 5195 5197 --- 3 5198 5192 5139 --- 3 5198 5139 5194 --- 3 5199 5198 5194 --- 3 5199 5194 5195 --- 3 5183 5199 5195 --- 3 5183 5195 5182 --- 3 5184 5185 5192 --- 3 5184 5192 5198 --- 3 5184 5198 5199 --- 3 5184 5199 5183 --- 3 5174 5193 5144 --- 3 5174 5196 5193 --- 3 5200 5197 5196 --- 3 5200 5196 5174 --- 3 5169 5200 5174 --- 3 5201 5197 5200 --- 3 5201 5181 5197 --- 3 5191 5189 5201 --- 3 5189 5202 5201 --- 3 5181 5201 5202 --- 3 5189 5180 5202 --- 3 5181 5202 5180 --- 3 5191 5201 5168 --- 3 5191 5168 5167 --- 3 5169 5168 5201 --- 3 5201 5200 5169 --- 3 5190 5191 5167 --- 3 5190 5167 5166 --- 3 5190 5166 4950 --- 3 5190 4950 4951 --- 3 4952 5188 5190 --- 3 4952 5190 4951 --- 3 5187 5188 4952 --- 3 5187 4952 4953 --- 3 4953 4473 5186 --- 3 4953 5186 5187 --- 3 5172 5170 5169 --- 3 5172 5169 5175 --- 3 5173 5172 5175 --- 3 5174 5175 5169 --- 3 5171 5170 5172 --- 3 5107 4930 5109 --- 3 5186 4473 4470 --- 3 4776 4945 5045 --- 3 3842 3482 3486 --- 3 3842 3486 5203 --- 3 5203 3486 3504 --- 3 3842 5203 3846 --- 3 5203 3504 3512 --- 3 5203 3512 5204 --- 3 5203 5204 3852 --- 3 5203 3852 3846 --- 3 5205 5204 3512 --- 3 5205 3512 3510 --- 3 5205 3510 5206 --- 3 3514 5206 3510 --- 3 5206 3514 5207 --- 3 5208 5207 3514 --- 3 5208 3514 3529 --- 3 5205 5206 5210 --- 3 5205 5210 5209 --- 3 5207 5210 5206 --- 3 5210 5207 5212 --- 3 5210 5212 5211 --- 3 5208 5212 5207 --- 3 5213 5212 5208 --- 3 5213 5208 5214 --- 3 5214 5208 3529 --- 3 5214 3529 3525 --- 3 5215 5213 5214 --- 3 5215 5214 3526 --- 3 3526 5214 3525 --- 3 3777 3356 5217 --- 3 3777 5217 5216 --- 3 5216 5217 5218 --- 3 3777 5216 5219 --- 3 3777 5219 3773 --- 3 3773 5219 5220 --- 3 3773 5220 3772 --- 3 3772 5220 5221 --- 3 3772 5221 3771 --- 3 3771 5221 5223 --- 3 3771 5223 5222 --- 3 3771 5222 3763 --- 3 3763 5222 3751 --- 3 3742 3751 5225 --- 3 3742 5225 5224 --- 3 5223 5225 3751 --- 3 5223 3751 5222 --- 3 5224 3740 3742 --- 3 3737 3740 5224 --- 3 3737 5224 5226 --- 3 5227 3737 5226 --- 3 5228 5230 5229 --- 3 5204 5205 5209 --- 3 5204 5209 3852 --- 3 3852 5209 5231 --- 3 3852 5231 3847 --- 3 3847 5231 5232 --- 3 3847 5232 3839 --- 3 5233 5232 5231 --- 3 5233 5231 5210 --- 3 5233 5210 5211 --- 3 5209 5210 5231 --- 3 5232 5233 5234 --- 3 5232 5234 5235 --- 3 5232 5235 3839 --- 3 3839 5235 3837 --- 3 5236 3855 3837 --- 3 5236 3837 5237 --- 3 3837 5235 5237 --- 3 4631 3855 5236 --- 3 4631 5236 4628 --- 3 5238 4628 5236 --- 3 5238 5236 5239 --- 3 4624 4628 5238 --- 3 4624 5238 5240 --- 3 4624 5240 5241 --- 3 4624 5241 4627 --- 3 5236 5237 5242 --- 3 5236 5242 5239 --- 3 5242 5237 5235 --- 3 5242 5235 5243 --- 3 5243 5235 5234 --- 3 5243 5234 5245 --- 3 5243 5245 5244 --- 3 5245 5234 5233 --- 3 5245 5233 5211 --- 3 5245 5211 5246 --- 3 5212 5213 5246 --- 3 5212 5246 5211 --- 3 5247 5246 5213 --- 3 5247 5213 5215 --- 3 5215 3526 5248 --- 3 5227 5248 3526 --- 3 5227 3526 3737 --- 3 5247 5215 5248 --- 3 5247 5248 5249 --- 3 5249 5248 5227 --- 3 5249 5227 5250 --- 3 5250 5227 5251 --- 3 5252 5251 5227 --- 3 5252 5227 5226 --- 3 5252 5226 5224 --- 3 5252 5224 5253 --- 3 5254 5224 5225 --- 3 5254 5225 5255 --- 3 5256 5253 5254 --- 3 5251 5252 5257 --- 3 5253 5256 5257 --- 3 5253 5257 5252 --- 3 5251 5257 5258 --- 3 5251 5258 5250 --- 3 5255 5225 5223 --- 3 5255 5223 5259 --- 3 5259 5223 5260 --- 3 5221 5260 5223 --- 3 5261 5259 5260 --- 3 5261 5260 5262 --- 3 5262 5260 5221 --- 3 5262 5221 5220 --- 3 5262 5220 5263 --- 3 5263 5220 5219 --- 3 5263 5219 5264 --- 3 5265 5219 5216 --- 3 5265 5216 5218 --- 3 5264 5219 5265 --- 3 5264 5265 5266 --- 3 5266 5265 5269 --- 3 5266 5269 5268 --- 3 5266 5268 5267 --- 3 5266 5267 5270 --- 3 5266 5270 5264 --- 3 5270 5271 5263 --- 3 5270 5263 5264 --- 3 5263 5271 5261 --- 3 5263 5261 5262 --- 3 5258 5257 5256 --- 3 5258 5256 5272 --- 3 5273 5256 5254 --- 3 5273 5254 5274 --- 3 5272 5256 5273 --- 3 5274 5254 5255 --- 3 5274 5255 5276 --- 3 5274 5276 5275 --- 3 5277 5276 5259 --- 3 5275 5276 5277 --- 3 5275 5277 5278 --- 3 5278 5277 5279 --- 3 5280 5279 5277 --- 3 5280 5277 5281 --- 3 5282 5281 5261 --- 3 5282 5261 5271 --- 3 5280 5281 5282 --- 3 5280 5282 5283 --- 3 5284 5283 5282 --- 3 5276 5255 5259 --- 3 5270 5267 5285 --- 3 5270 5285 5284 --- 3 5284 5282 5271 --- 3 5284 5271 5270 --- 3 5285 5267 5268 --- 3 5285 5268 5286 --- 3 5287 5286 5288 --- 3 5288 5286 5291 --- 3 5288 5291 5290 --- 3 5288 5290 5289 --- 3 5285 5286 5287 --- 3 5285 5287 5283 --- 3 5285 5283 5284 --- 3 5287 5288 5292 --- 3 5287 5292 5283 --- 3 5283 5292 5293 --- 3 5283 5293 5279 --- 3 5278 5293 5275 --- 3 5283 5279 5280 --- 3 5279 5293 5278 --- 3 5294 5274 5275 --- 3 5294 5275 5295 --- 3 5295 5275 5297 --- 3 5295 5297 5296 --- 3 5296 5297 5298 --- 3 5298 5297 5300 --- 3 5298 5300 5299 --- 3 5300 5297 5275 --- 3 5300 5275 5293 --- 3 5300 5293 5292 --- 3 5274 5294 5273 --- 3 5273 5294 5295 --- 3 5273 5295 5301 --- 3 5301 5295 5296 --- 3 5301 5296 5302 --- 3 5302 5296 5303 --- 3 5304 5303 5296 --- 3 5304 5296 5298 --- 3 5272 5273 5301 --- 3 5272 5301 5305 --- 3 5305 5302 5303 --- 3 5305 5303 5306 --- 3 5306 5303 5307 --- 3 5308 5307 5303 --- 3 5308 5303 5304 --- 3 5258 5272 5249 --- 3 5249 5272 5305 --- 3 5249 5305 5247 --- 3 5305 5309 5247 --- 3 5246 5247 5309 --- 3 5246 5309 5310 --- 3 5307 5311 5306 --- 3 5305 5306 5311 --- 3 5305 5311 5309 --- 3 5312 5311 5307 --- 3 5312 5307 5308 --- 3 5312 5308 5313 --- 3 5301 5302 5305 --- 3 5312 5313 5315 --- 3 5312 5315 5314 --- 3 5314 5315 5317 --- 3 5314 5317 5316 --- 3 5318 5316 5239 --- 3 5318 5239 5242 --- 3 5316 5317 5241 --- 3 5316 5241 5240 --- 3 5238 5316 5240 --- 3 5239 5316 5238 --- 3 5318 5242 5243 --- 3 5318 5243 5244 --- 3 5318 5244 5310 --- 3 5318 5310 5311 --- 3 5309 5311 5310 --- 3 5318 5311 5312 --- 3 5318 5312 5314 --- 3 5246 5310 5244 --- 3 5246 5244 5245 --- 3 5316 5318 5314 --- 3 5250 5258 5249 --- 3 4627 5241 5319 --- 3 4627 5319 4119 --- 3 4126 4123 5321 --- 3 4126 5321 5320 --- 3 4128 4126 5320 --- 3 4128 5320 5322 --- 3 5323 5322 5320 --- 3 5323 5320 5324 --- 3 5324 5320 5321 --- 3 5324 5321 5325 --- 3 5325 5315 5327 --- 3 5325 5327 5326 --- 3 5313 5327 5315 --- 3 5328 5323 5324 --- 3 5328 5324 5329 --- 3 5329 5324 5325 --- 3 5329 5325 5326 --- 3 5330 5326 5327 --- 3 5330 5327 5331 --- 3 5331 5327 5313 --- 3 5331 5313 5308 --- 3 5326 5330 5332 --- 3 5326 5332 5329 --- 3 5333 5328 5329 --- 3 5333 5329 5332 --- 3 5308 5304 5331 --- 3 5330 5331 5304 --- 3 5330 5304 5334 --- 3 5330 5334 5335 --- 3 5330 5335 5332 --- 3 5335 5336 5333 --- 3 5335 5333 5332 --- 3 5337 5336 5335 --- 3 5337 5335 5338 --- 3 5338 5335 5334 --- 3 5338 5334 5299 --- 3 5299 5334 5304 --- 3 5299 5304 5298 --- 3 5338 5299 5300 --- 3 5338 5300 5339 --- 3 5338 5339 5340 --- 3 5338 5340 5337 --- 3 5289 5340 5339 --- 3 5289 5339 5288 --- 3 5288 5339 5300 --- 3 5288 5300 5292 --- 3 5321 4123 4119 --- 3 5321 4119 5319 --- 3 5321 5319 5341 --- 3 5317 5341 5319 --- 3 5317 5319 5241 --- 3 5315 5325 5321 --- 3 5315 5321 5341 --- 3 5315 5341 5317 --- 3 5291 5286 5268 --- 3 5291 5268 5269 --- 3 5261 5281 5277 --- 3 5261 5277 5259 --- 3 5253 5224 5254 --- 3 3461 3477 4736 --- 3 5229 5230 5228 --- 3 3477 3856 3855 --- 3 3477 3855 4631 --- 3 3477 4631 4736 --- 3 5342 3015 3011 --- 3 5342 3011 3421 --- 3 5342 3033 3015 --- 3 3421 3425 5342 --- 3 5343 3040 3033 --- 3 5343 3033 5342 --- 3 3425 3431 5343 --- 3 3425 5343 5342 --- 3 5344 3040 5343 --- 3 5345 3039 3040 --- 3 5345 3040 5344 --- 3 3043 3039 5345 --- 3 5345 5346 3043 --- 3 3058 3043 5346 --- 3 3058 5346 5347 --- 3 5348 5349 5345 --- 3 5348 5345 5344 --- 3 5346 5345 5349 --- 3 5350 5351 5346 --- 3 5350 5346 5349 --- 3 5347 5346 5351 --- 3 5352 5347 5351 --- 3 5352 5351 5353 --- 3 3055 3058 5347 --- 3 3055 5347 5352 --- 3 3054 5352 5353 --- 3 3054 5353 5354 --- 3 3054 3055 5352 --- 3 5355 5217 3356 --- 3 5355 3356 3355 --- 3 5355 5218 5217 --- 3 3348 5356 5355 --- 3 3348 5355 3355 --- 3 3347 5357 5356 --- 3 3347 5356 3348 --- 3 3346 5358 5357 --- 3 3346 5357 3347 --- 3 5359 5360 5358 --- 3 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6119 6120 6117 --- 4 6120 5778 6121 --- 4 6120 6121 6117 --- 4 6123 5526 6124 --- 4 6123 6124 6122 --- 4 6124 5666 6125 --- 4 6124 6125 6122 --- 4 6125 5780 6126 --- 4 6125 6126 6122 --- 4 6128 5523 6129 --- 4 6128 6129 6127 --- 4 6129 5579 6130 --- 4 6129 6130 6127 --- 4 6130 5782 6131 --- 4 6130 6131 6127 --- 4 6133 5543 6134 --- 4 6133 6134 6132 --- 4 6134 5699 6135 --- 4 6134 6135 6132 --- 4 6135 5784 6136 --- 4 6135 6136 6132 --- 4 6141 5506 6142 --- 4 6141 6142 6140 --- 4 6142 5582 6143 --- 4 6142 6143 6140 --- 4 6143 5580 5788 --- 4 6143 5788 6140 --- 4 5961 5525 5901 --- 4 5961 5901 6144 --- 4 5901 5583 6145 --- 4 5901 6145 6144 --- 4 6145 5580 6143 --- 4 6145 6143 6144 --- 4 6147 5524 6148 --- 4 6147 6148 6146 --- 4 6148 5584 5789 --- 4 6148 5789 6146 --- 4 5789 5580 6145 --- 4 5789 6145 6146 --- 4 6150 5507 6151 --- 4 6150 6151 6149 --- 4 6151 5587 6152 --- 4 6151 6152 6149 --- 4 6152 5585 5793 --- 4 6152 5793 6149 --- 4 5963 5530 5916 --- 4 5963 5916 6153 --- 4 5916 5588 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6179 5603 6180 --- 4 6179 6180 6177 --- 4 6180 5601 5824 --- 4 6180 5824 6177 --- 4 6114 5546 5966 --- 4 6114 5966 6181 --- 4 5966 5604 6182 --- 4 5966 6182 6181 --- 4 6182 5601 6180 --- 4 6182 6180 6181 --- 4 6184 5545 6185 --- 4 6184 6185 6183 --- 4 6185 5605 5825 --- 4 6185 5825 6183 --- 4 5825 5601 6182 --- 4 5825 6182 6183 --- 4 6187 5511 5884 --- 4 6187 5884 6186 --- 4 5884 5608 6188 --- 4 5884 6188 6186 --- 4 6188 5606 5829 --- 4 6188 5829 6186 --- 4 5883 5550 5980 --- 4 5883 5980 6189 --- 4 5980 5609 6190 --- 4 5980 6190 6189 --- 4 6190 5606 6188 --- 4 6190 6188 6189 --- 4 6192 5549 6193 --- 4 6192 6193 6191 --- 4 6193 5610 5830 --- 4 6193 5830 6191 --- 4 5830 5606 6190 --- 4 5830 6190 6191 --- 4 6195 5512 6196 --- 4 6195 6196 6194 --- 4 6196 5613 6197 --- 4 6196 6197 6194 --- 4 6197 5611 5834 --- 4 6197 5834 6194 --- 4 5922 5531 5994 --- 4 5922 5994 6198 --- 4 5994 5614 6199 --- 4 5994 6199 6198 --- 4 6199 5611 6197 --- 4 6199 6197 6198 --- 4 6201 5553 6202 --- 4 6201 6202 6200 --- 4 6202 5615 5835 --- 4 6202 5835 6200 --- 4 5835 5611 6199 --- 4 5835 6199 6200 --- 4 6204 5512 6205 --- 4 6204 6205 6203 --- 4 6205 5618 6206 --- 4 6205 6206 6203 --- 4 6206 5616 5839 --- 4 6206 5839 6203 --- 4 5985 5551 6009 --- 4 5985 6009 6207 --- 4 6009 5619 6208 --- 4 6009 6208 6207 --- 4 6208 5616 6206 --- 4 6208 6206 6207 --- 4 6210 5554 6211 --- 4 6210 6211 6209 --- 4 6211 5620 5840 --- 4 6211 5840 6209 --- 4 5840 5616 6208 --- 4 5840 6208 6209 --- 4 6213 5514 5888 --- 4 6213 5888 6212 --- 4 5888 5623 6214 --- 4 5888 6214 6212 --- 4 6214 5621 5844 --- 4 6214 5844 6212 --- 4 5887 5558 6023 --- 4 5887 6023 6215 --- 4 6023 5624 6216 --- 4 6023 6216 6215 --- 4 6216 5621 6214 --- 4 6216 6214 6215 --- 4 6218 5557 6219 --- 4 6218 6219 6217 --- 4 6219 5625 5845 --- 4 6219 5845 6217 --- 4 5845 5621 6216 --- 4 5845 6216 6217 --- 4 6221 5515 6222 --- 4 6221 6222 6220 --- 4 6222 5628 6223 --- 4 6222 6223 6220 --- 4 6223 5626 5849 --- 4 6223 5849 6220 --- 4 5937 5536 6037 --- 4 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6292 --- 4 5823 5527 5911 --- 4 5823 5911 6294 --- 4 5911 5669 6295 --- 4 5911 6295 6294 --- 4 6295 5668 6293 --- 4 6295 6293 6294 --- 4 6297 5524 6291 --- 4 6297 6291 6296 --- 4 6291 5667 5909 --- 4 6291 5909 6296 --- 4 5909 5668 6295 --- 4 5909 6295 6296 --- 4 6299 5509 6300 --- 4 6299 6300 6298 --- 4 6300 5672 6301 --- 4 6300 6301 6298 --- 4 6301 5670 5913 --- 4 6301 5913 6298 --- 4 6005 5528 5786 --- 4 6005 5786 6302 --- 4 5786 5584 6303 --- 4 5786 6303 6302 --- 4 6303 5670 6301 --- 4 6303 6301 6302 --- 4 6148 5524 6297 --- 4 6148 6297 6304 --- 4 6297 5669 5914 --- 4 6297 5914 6304 --- 4 5914 5670 6303 --- 4 5914 6303 6304 --- 4 6306 5500 6307 --- 4 6306 6307 6305 --- 4 6307 5675 6308 --- 4 6307 6308 6305 --- 4 6308 5673 5918 --- 4 6308 5918 6305 --- 4 5995 5531 5921 --- 4 5995 5921 6309 --- 4 5921 5676 6310 --- 4 5921 6310 6309 --- 4 6310 5673 6308 --- 4 6310 6308 6309 --- 4 6312 5529 6156 --- 4 6312 6156 6311 --- 4 6156 5588 5919 --- 4 6156 5919 6311 --- 4 5919 5673 6310 --- 4 5919 6310 6311 --- 4 6196 5512 6204 --- 4 6196 6204 6313 --- 4 6204 5617 6314 --- 4 6204 6314 6313 --- 4 6314 5677 5923 --- 4 6314 5923 6313 --- 4 5838 5532 5926 --- 4 5838 5926 6315 --- 4 5926 5678 6316 --- 4 5926 6316 6315 --- 4 6316 5677 6314 --- 4 6316 6314 6315 --- 4 6318 5529 6312 --- 4 6318 6312 6317 --- 4 6312 5676 5924 --- 4 6312 5924 6317 --- 4 5924 5677 6316 --- 4 5924 6316 6317 --- 4 6320 5513 6321 --- 4 6320 6321 6319 --- 4 6321 5681 6322 --- 4 6321 6322 6319 --- 4 6322 5679 5928 --- 4 6322 5928 6319 --- 4 6048 5533 5791 --- 4 6048 5791 6323 --- 4 5791 5589 6324 --- 4 5791 6324 6323 --- 4 6324 5679 6322 --- 4 6324 6322 6323 --- 4 6157 5529 6318 --- 4 6157 6318 6325 --- 4 6318 5678 5929 --- 4 6318 5929 6325 --- 4 5929 5679 6324 --- 4 5929 6324 6325 --- 4 6327 5498 6328 --- 4 6327 6328 6326 --- 4 6328 5684 6329 --- 4 6328 6329 6326 --- 4 6329 5682 5933 --- 4 6329 5933 6326 --- 4 6038 5536 5936 --- 4 6038 5936 6330 --- 4 5936 5685 6331 --- 4 5936 6331 6330 --- 4 6331 5682 6329 --- 4 6331 6329 6330 --- 4 6333 5534 6165 --- 4 6333 6165 6332 --- 4 6165 5593 5934 --- 4 6165 5934 6332 --- 4 5934 5682 6331 --- 4 5934 6331 6332 --- 4 6222 5515 6230 --- 4 6222 6230 6334 --- 4 6230 5632 6335 --- 4 6230 6335 6334 --- 4 6335 5686 5938 --- 4 6335 5938 6334 --- 4 5853 5537 5941 --- 4 5853 5941 6336 --- 4 5941 5687 6337 --- 4 5941 6337 6336 --- 4 6337 5686 6335 --- 4 6337 6335 6336 --- 4 6339 5534 6333 --- 4 6339 6333 6338 --- 4 6333 5685 5939 --- 4 6333 5939 6338 --- 4 5939 5686 6337 --- 4 5939 6337 6338 --- 4 6341 5516 6342 --- 4 6341 6342 6340 --- 4 6342 5690 6343 --- 4 6342 6343 6340 --- 4 6343 5688 5943 --- 4 6343 5943 6340 --- 4 6091 5538 5796 --- 4 6091 5796 6344 --- 4 5796 5594 6345 --- 4 5796 6345 6344 --- 4 6345 5688 6343 --- 4 6345 6343 6344 --- 4 6166 5534 6339 --- 4 6166 6339 6346 --- 4 6339 5687 5944 --- 4 6339 5944 6346 --- 4 5944 5688 6345 --- 4 5944 6345 6346 --- 4 6348 5497 6349 --- 4 6348 6349 6347 --- 4 6349 5693 6350 --- 4 6349 6350 6347 --- 4 6350 5691 5948 --- 4 6350 5948 6347 --- 4 6081 5541 5951 --- 4 6081 5951 6351 --- 4 5951 5694 6352 --- 4 5951 6352 6351 --- 4 6352 5691 6350 --- 4 6352 6350 6351 --- 4 6354 5539 6174 --- 4 6354 6174 6353 --- 4 6174 5598 5949 --- 4 6174 5949 6353 --- 4 5949 5691 6352 --- 4 5949 6352 6353 --- 4 6248 5518 6256 --- 4 6248 6256 6355 --- 4 6256 5647 6356 --- 4 6256 6356 6355 --- 4 6356 5695 5953 --- 4 6356 5953 6355 --- 4 5868 5542 5956 --- 4 5868 5956 6357 --- 4 5956 5696 6358 --- 4 5956 6358 6357 --- 4 6358 5695 6356 --- 4 6358 6356 6357 --- 4 6360 5539 6354 --- 4 6360 6354 6359 --- 4 6354 5694 5954 --- 4 6354 5954 6359 --- 4 5954 5695 6358 --- 4 5954 6358 6359 --- 4 6362 5519 6363 --- 4 6362 6363 6361 --- 4 6363 5699 6364 --- 4 6363 6364 6361 --- 4 6364 5697 5958 --- 4 6364 5958 6361 --- 4 6134 5543 5801 --- 4 6134 5801 6365 --- 4 5801 5599 6366 --- 4 5801 6366 6365 --- 4 6366 5697 6364 --- 4 6366 6364 6365 --- 4 6175 5539 6360 --- 4 6175 6360 6367 --- 4 6360 5696 5959 --- 4 6360 5959 6367 --- 4 5959 5697 6366 --- 4 5959 6366 6367 --- 4 6370 5501 5808 --- 4 6370 5808 6369 --- 4 5808 5703 6371 --- 4 5808 6371 6369 --- 4 6371 5701 5968 --- 4 6371 5968 6369 --- 4 5807 5547 5971 --- 4 5807 5971 6372 --- 4 5971 5704 6373 --- 4 5971 6373 6372 --- 4 6373 5701 6371 --- 4 6373 6371 6372 --- 4 6375 5545 6184 --- 4 6375 6184 6374 --- 4 6184 5604 5969 --- 4 6184 5969 6374 --- 4 5969 5701 6373 --- 4 5969 6373 6374 --- 4 5805 5511 6187 --- 4 5805 6187 6376 --- 4 6187 5607 6377 --- 4 6187 6377 6376 --- 4 6377 5705 5972 --- 4 6377 5972 6376 --- 4 5828 5548 5975 --- 4 5828 5975 6378 --- 4 5975 5707 6379 --- 4 5975 6379 6378 --- 4 6379 5705 6377 --- 4 6379 6377 6378 --- 4 6381 5545 6375 --- 4 6381 6375 6380 --- 4 6375 5704 5973 --- 4 6375 5973 6380 --- 4 5973 5705 6379 --- 4 5973 6379 6380 --- 4 6383 5509 6299 --- 4 6383 6299 6382 --- 4 6299 5671 6384 --- 4 6299 6384 6382 --- 4 6384 5708 5977 --- 4 6384 5977 6382 --- 4 5912 5527 5822 --- 4 5912 5822 6385 --- 4 5822 5605 6386 --- 4 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10259 10291 10260 --- 4 10260 10291 10292 --- 4 10260 10292 10261 --- 4 10261 10292 10293 --- 4 10261 10293 10262 --- 4 10262 10293 10294 --- 4 10262 10294 10263 --- 4 10263 10294 10295 --- 4 10263 10295 10264 --- 4 10264 10295 10296 --- 4 10264 10296 10265 --- 4 10265 10296 10297 --- 4 10265 10297 10266 --- 4 10266 10297 10298 --- 4 10266 10298 10267 --- 4 10267 10298 10299 --- 4 10267 10299 10268 --- 4 10268 10299 10300 --- 4 10268 10300 10269 --- 4 10269 10300 10301 --- 4 10269 10301 10270 --- 4 10270 10301 10302 --- 4 10270 10302 10271 --- 4 10271 10302 10303 --- 4 10271 10303 10272 --- 4 10272 10303 10304 --- 4 10272 10304 10273 --- 4 10273 10304 10305 --- 4 10273 10305 10274 --- 4 10274 10305 10306 --- 4 10274 10306 10275 --- 4 10275 10306 10307 --- 4 10275 10307 10276 --- 4 10276 10307 10308 --- 4 10276 10308 10277 --- 4 10277 10308 10309 --- 4 10277 10309 10278 --- 4 10278 10309 10310 --- 4 10278 10310 10279 --- 4 10279 10310 10311 --- 4 10279 10311 10280 --- 4 10280 10311 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10559 10590 10591 --- 4 10559 10591 10560 --- 4 10560 10591 10592 --- 4 10560 10592 10561 --- 4 10561 10592 10593 --- 4 10561 10593 10562 --- 4 10562 10593 10594 --- 4 10562 10594 10563 --- 4 10564 10595 10596 --- 4 10564 10596 10565 --- 4 10565 10596 10597 --- 4 10565 10597 10566 --- 4 10566 10597 10598 --- 4 10566 10598 10567 --- 4 10567 10598 10599 --- 4 10567 10599 10568 --- 4 10568 10599 10600 --- 4 10568 10600 10569 --- 4 10569 10600 10601 --- 4 10569 10601 10570 --- 4 10570 10601 10602 --- 4 10570 10602 10571 --- 4 10571 10602 10603 --- 4 10571 10603 10572 --- 4 10572 10603 10604 --- 4 10572 10604 10573 --- 4 10573 10604 10605 --- 4 10573 10605 10574 --- 4 10574 10605 10606 --- 4 10574 10606 10575 --- 4 10575 10606 10607 --- 4 10575 10607 10576 --- 4 10576 10607 10608 --- 4 10576 10608 10577 --- 4 10577 10608 10609 --- 4 10577 10609 10578 --- 4 10578 10609 10610 --- 4 10578 10610 10579 --- 4 10579 10610 10611 --- 4 10579 10611 10580 --- 4 10580 10611 10612 --- 4 10580 10612 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10602 10634 10603 --- 4 10603 10634 10635 --- 4 10603 10635 10604 --- 4 10604 10635 10636 --- 4 10604 10636 10605 --- 4 10605 10636 10637 --- 4 10605 10637 10606 --- 4 10606 10637 10638 --- 4 10606 10638 10607 --- 4 10607 10638 10639 --- 4 10607 10639 10608 --- 4 10608 10639 10640 --- 4 10608 10640 10609 --- 4 10609 10640 10641 --- 4 10609 10641 10610 --- 4 10610 10641 10642 --- 4 10610 10642 10611 --- 4 10611 10642 10643 --- 4 10611 10643 10612 --- 4 10612 10643 10644 --- 4 10612 10644 10613 --- 4 10613 10644 10645 --- 4 10613 10645 10614 --- 4 10614 10645 10646 --- 4 10614 10646 10615 --- 4 10615 10646 10647 --- 4 10615 10647 10616 --- 4 10616 10647 10648 --- 4 10616 10648 10617 --- 4 10617 10648 10649 --- 4 10617 10649 10618 --- 4 10618 10649 10650 --- 4 10618 10650 10619 --- 4 10619 10650 10651 --- 4 10619 10651 10620 --- 4 10620 10651 10652 --- 4 10620 10652 10621 --- 4 10621 10652 10653 --- 4 10621 10653 10622 --- 4 10622 10653 10654 --- 4 10622 10654 10623 --- 4 10623 10654 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10645 10676 10677 --- 4 10645 10677 10646 --- 4 10646 10677 10678 --- 4 10646 10678 10647 --- 4 10647 10678 10679 --- 4 10647 10679 10648 --- 4 10648 10679 10680 --- 4 10648 10680 10649 --- 4 10649 10680 10681 --- 4 10649 10681 10650 --- 4 10650 10681 10682 --- 4 10650 10682 10651 --- 4 10651 10682 10683 --- 4 10651 10683 10652 --- 4 10652 10683 10684 --- 4 10652 10684 10653 --- 4 10653 10684 10685 --- 4 10653 10685 10654 --- 4 10654 10685 10686 --- 4 10654 10686 10655 --- 4 10655 10686 10687 --- 4 10655 10687 10656 --- 4 10657 10688 10689 --- 4 10657 10689 10658 --- 4 10658 10689 10690 --- 4 10658 10690 10659 --- 4 10659 10690 10691 --- 4 10659 10691 10660 --- 4 10660 10691 10692 --- 4 10660 10692 10661 --- 4 10661 10692 10693 --- 4 10661 10693 10662 --- 4 10662 10693 10694 --- 4 10662 10694 10663 --- 4 10663 10694 10695 --- 4 10663 10695 10664 --- 4 10664 10695 10696 --- 4 10664 10696 10665 --- 4 10665 10696 10697 --- 4 10665 10697 10666 --- 4 10666 10697 10698 --- 4 10666 10698 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10688 10720 10689 --- 4 10689 10720 10721 --- 4 10689 10721 10690 --- 4 10690 10721 10722 --- 4 10690 10722 10691 --- 4 10691 10722 10723 --- 4 10691 10723 10692 --- 4 10692 10723 10724 --- 4 10692 10724 10693 --- 4 10693 10724 10725 --- 4 10693 10725 10694 --- 4 10694 10725 10726 --- 4 10694 10726 10695 --- 4 10695 10726 10727 --- 4 10695 10727 10696 --- 4 10696 10727 10728 --- 4 10696 10728 10697 --- 4 10697 10728 10729 --- 4 10697 10729 10698 --- 4 10698 10729 10730 --- 4 10698 10730 10699 --- 4 10699 10730 10731 --- 4 10699 10731 10700 --- 4 10700 10731 10732 --- 4 10700 10732 10701 --- 4 10701 10732 10733 --- 4 10701 10733 10702 --- 4 10702 10733 10734 --- 4 10702 10734 10703 --- 4 10703 10734 10735 --- 4 10703 10735 10704 --- 4 10704 10735 10736 --- 4 10704 10736 10705 --- 4 10705 10736 10737 --- 4 10705 10737 10706 --- 4 10706 10737 10738 --- 4 10706 10738 10707 --- 4 10707 10738 10739 --- 4 10707 10739 10708 --- 4 10708 10739 10740 --- 4 10708 10740 10709 --- 4 10709 10740 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10731 10762 10763 --- 4 10731 10763 10732 --- 4 10732 10763 10764 --- 4 10732 10764 10733 --- 4 10733 10764 10765 --- 4 10733 10765 10734 --- 4 10734 10765 10766 --- 4 10734 10766 10735 --- 4 10735 10766 10767 --- 4 10735 10767 10736 --- 4 10736 10767 10768 --- 4 10736 10768 10737 --- 4 10737 10768 10769 --- 4 10737 10769 10738 --- 4 10738 10769 10770 --- 4 10738 10770 10739 --- 4 10739 10770 10771 --- 4 10739 10771 10740 --- 4 10740 10771 10772 --- 4 10740 10772 10741 --- 4 10741 10772 10773 --- 4 10741 10773 10742 --- 4 10742 10773 10774 --- 4 10742 10774 10743 --- 4 10743 10774 10775 --- 4 10743 10775 10744 --- 4 10744 10775 10776 --- 4 10744 10776 10745 --- 4 10745 10776 10777 --- 4 10745 10777 10746 --- 4 10746 10777 10778 --- 4 10746 10778 10747 --- 4 10747 10778 10779 --- 4 10747 10779 10748 --- 4 10748 10779 10780 --- 4 10748 10780 10749 --- 4 10750 10781 10782 --- 4 10750 10782 10751 --- 4 10751 10782 10783 --- 4 10751 10783 10752 --- 4 10752 10783 10784 --- 4 10752 10784 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10773 10805 10774 --- 4 10774 10805 10806 --- 4 10774 10806 10775 --- 4 10775 10806 10807 --- 4 10775 10807 10776 --- 4 10776 10807 10808 --- 4 10776 10808 10777 --- 4 10777 10808 10809 --- 4 10777 10809 10778 --- 4 10778 10809 10810 --- 4 10778 10810 10779 --- 4 10779 10810 10811 --- 4 10779 10811 10780 --- 4 10781 10812 10813 --- 4 10781 10813 10782 --- 4 10782 10813 10814 --- 4 10782 10814 10783 --- 4 10783 10814 10815 --- 4 10783 10815 10784 --- 4 10784 10815 10816 --- 4 10784 10816 10785 --- 4 10785 10816 10817 --- 4 10785 10817 10786 --- 4 10786 10817 10818 --- 4 10786 10818 10787 --- 4 10787 10818 10819 --- 4 10787 10819 10788 --- 4 10788 10819 10820 --- 4 10788 10820 10789 --- 4 10789 10820 10821 --- 4 10789 10821 10790 --- 4 10790 10821 10822 --- 4 10790 10822 10791 --- 4 10791 10822 10823 --- 4 10791 10823 10792 --- 4 10792 10823 10824 --- 4 10792 10824 10793 --- 4 10793 10824 10825 --- 4 10793 10825 10794 --- 4 10794 10825 10826 --- 4 10794 10826 10795 --- 4 10795 10826 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11202 11234 11203 --- 4 11203 11234 11235 --- 4 11203 11235 11204 --- 4 11204 11235 11236 --- 4 11204 11236 11205 --- 4 11205 11236 11237 --- 4 11205 11237 11206 --- 4 11206 11237 11238 --- 4 11206 11238 11207 --- 4 11207 11238 11239 --- 4 11207 11239 11208 --- 4 11208 11239 11240 --- 4 11208 11240 11209 --- 4 11209 11240 11241 --- 4 11209 11241 11210 --- 4 11210 11241 11242 --- 4 11210 11242 11211 --- 4 11211 11242 11243 --- 4 11211 11243 11212 --- 4 11212 11243 11244 --- 4 11212 11244 11213 --- 4 11213 11244 11245 --- 4 11213 11245 11214 --- 4 11215 11246 11247 --- 4 11215 11247 11216 --- 4 11216 11247 11248 --- 4 11216 11248 11217 --- 4 11217 11248 11249 --- 4 11217 11249 11218 --- 4 11218 11249 11250 --- 4 11218 11250 11219 --- 4 11219 11250 11251 --- 4 11219 11251 11220 --- 4 11220 11251 11252 --- 4 11220 11252 11221 --- 4 11221 11252 11253 --- 4 11221 11253 11222 --- 4 11222 11253 11254 --- 4 11222 11254 11223 --- 4 11223 11254 11255 --- 4 11223 11255 11224 --- 4 11224 11255 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clc; // page no 135 // prob no 4_11_1 //An amplifier is given Rn=300;//Equivalent noise resistance Ieq=5*10^-6;//Equivalent noise current is 5 uA Rs=150;//Amplifier fed from 150 ohm,10 uV rms sinusoidal source Vs=10*10^-6; Bn=10*10^6;//Noise BW is 10 MHz //Assume the following kT=4*10^-21;//k is Boltzman constant in J/K & T is room temp q=1.6*10^-19;//Charge on electron in coulombs //Determination of shot noise current Ina=(2*q*Ieq*Bn)^(1/2); disp('nA',Ina*(10^9)','The value of shot noise current Ina is '); //Noise voltage developed by this across source resistance is V=Ina*Rs; disp('uV',Vs*(10^6)','The value of noise voltage across Rs is '); //Noise voltage developed across Rn resistance is Vna=(4*Rn*kT*Bn)^(1/2); disp('uV',Vna*(10^6)','The value of noise voltage across Rn is '); //Determination of thermal noise voltage from source Vns=(4*Rs*kT*Bn)^(1/2); disp('uV',Vns*(10^6)','The value of thermal noise voltage at Rs is'); //Determination of total noise voltage at input Vn=(((V)^2)+((Vna)^2)+((Vns)^2))^(1/2) disp('uV',Vn*(10^6)','The value of total noise voltage Vn is '); //Determination of signal to noise ratio in dB SNR=20*(log10(Vs/Vn)); disp('dB',SNR,'The value of signal to noise ratio is ');
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clear; clc; printf("\t\t\tProblem Number 6.21\n\n\n"); // Chapter 6: The Ideal Gas // Problem 6.21 (page no. 264) // Solution //data T2=100+273; //Celsius temperature converted to Kelvin //final temperature T1=20+273; //Celsius temperature converted to Kelvin //initial temperature cv=0.7186; //specific heat at constant volume //kJ/kg*K //Now, deltas=cv*log(T2/T1); //change in entropy //Unit:kJ/kg*K //For 0.2 kg, deltaS=(0.2)*deltas; //The change in enthalpy in kJ/K printf("For 0.2 kg of air,The change in enthalpy is %f kJ/K\n",deltaS);
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//Example 2.5 clc clear function f = fun5(x) f = exp(-x)/10; endfunction clc tol = 1e-4; maxit = 4; xold = 0; iter = 1; while(1) xnew = fun5(xold); EA = abs(xnew - xold); if EA < tol | iter > maxit then break end xold = xnew; iter = iter + 1; end root = round(xnew*10^4) / 10^4; //rounded to 4 decimal places disp(root,"root = ")
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function x=DD(A) //Determina, para la matriz cuadrada A y por filas, la diferencia (en valor absoluto) entre el elemento diagonal y el resto de elementos. [n,n]=size(A); v=zeros(n); for i=1:n v(i)=2*abs(A(i,i))-sum(abs(A(i,:))); end; x=and(v>0) endfunction
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data node { int val; node next; }. /* pred ll<n,u,sm,lg> == self=null & n=0 & sm<=lg & u=1 or self::node<v, null> & n=1 & sm<=v<=lg & u=1 or self::node<v, q> * q::ll<n-1,_,sm,lg> & q!=null & sm<=v<=lg & u=1 inv n>=0 & sm<=lg. */ pred ll2<n,u> == self=null & n=0 & u=1 or self::node<v, q> * q::ll2<n-1,_> & u=3 & (v=2 | v=4) inv n>=0. /*pred ll3<n,u> == self=null & n=0 & u=1 or self::node<v, q> * q::ll3<n-1,_> & u=3+n & v=4 inv n>=0. */ /* checkentail x::node<w,q>*q::ll<a,b,sm,lg> & sm<=w<=lg & q!=null |- (exists d: x::ll<c,d,s2,l2>). print residue. checkentail x::node<w,r>*r::node<w,q>*q::ll2<a,b,sm,lg> & sm<=w<=lg & q!=null |- (exists c: x::ll2<c,d,s2,l2> & c>=1). checkentail x::node<w,r>*r::node<w,q>*q::ll2<a,b> & w=4 |- (exists c:x::ll2<c,d> & c>=1). print residue. checkentail x::node<w,q>*q::ll2<a,b> & w=4 |- x::ll2<c,d> & c>=1. print residue. checkentail x::node<w,r>*r::node<w,q>*q::ll2<a,b> & w=4 |- (exists c:x::ll2<c,d> & c>=1). print residue. */ checkentail x::node<w,r>*r::node<w,q>*q::ll2<a,b> & w=4 |- x::ll2<c,d> & c>=1. print residue. /*checkentail x::node<w,r>*r::node<w,q>*q::ll3<a,b> & w=4 |- x::ll3<c,d> & c>=1. print residue.*/
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// A resposta no moodle tem uma iteracao a menos, ainda nao sei por que a = 23.4 b = 27.8 count = 0 dif = b - a while (dif > 0.0001) then dif = dif/2 count = count + 1 disp(dif) end disp(count)
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//Problem 25.03: The admittance of a circuit is (0.040 + i0.025) S. Determine the values of the resistance and the capacitive reactance of the circuit if they are connected (a) in parallel, (b) in series. Draw the phasor diagram for each of the circuits. //initializing the variables: Y = 0.040 - %i*0.025; // in S //calculation: //impedance, Z Z = 1/Y //conductance, G G = real(Y) //Suspectance, Bc Bc = abs(imag(Y)) //parallrl //resistance, R Rp = 1/G //capacitive reactance Xcp = 1/Bc //series //resistance, R Rs = real(Z) //capacitive reactance Xcs = abs(imag(Z)) printf("\n\n Result \n\n") printf("\n (a)for parallel, resistance,R is %.0f ohm and capacitive reactance, Xc is %.0f ohm ",Rp,Xcp) printf("\n (b)forseries, resistance,R is %.2f ohm and capacitive reactance, Xc is %.2f ohm ",Rs,Xcs)
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clear // //Given //Variable declaration L=2.5*1000 //Length in mm w=16.4 //Uniformly distributed load in kN/m I=7.95e7 //Moment of Inertia in mm^4 E=2e5 //Youngs modulus in N/sq.mm //Calculation W=w*L //Total load in N yB=((W*L**3)/(E*I*8)) //Deflection at the free end in mm //Result printf("\n Deflection at the free end = %0.3f mm",yB)
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//example 14.1 clc; funcprot(0); Cc=0.28; Hc=6; eo=0.9; Cv=0.36; H=3; t=9; sigmao=210; sigmap=115; //deltasigmap Sc=Cc*Hc/(1+eo)*log10((sigmao+sigmap)/sigmao); disp(Sc*1000,"primary consolidation in mm"); Tv=Cv*t/H^2; //from table k=1.8; //constant sf=k*sigmap; disp(sf,"deltasigmaf in kN/m^2");
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//clc() A = [1,1/2,1/3;1/2,1/3,1/4;1/3,1/4,1/5]; n = det(A(2,1)); A(2,:) = A(2,:)/n; n = det(A(3,1)); A(3,:) = A(3,:)/n; B = inv(A); disp(A,"A = ") for j = 1:3 a = 0; for i = 1:3 m(i) = det(A(j,i)); su(j) = a + m(i); a = su(j); end end if su(1) < su(2) then if su(2) < su(3) then z = su(3); else z = su(2); end else if su(1) < su(3) then z = su(3); else z = su(1); end end for j = 1:3 a = 0; for i = 1:3 m(i) = det(B(j,i)); sm(j) = a + abs(m(i)); a = sm(j); end end if sm(1) < sm(2) then if sm(2) < sm(3) then y = sm(3); else y = sm(2); end else if sm(1) < sm(3) then y = sm(3); else y = sm(1); end end C = z*y; disp(C,"Condition number for the matrix =")
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//ex7.15 I_DSS=12*10^-3; V_DD=18; R_D=620; I_D=I_DSS; V_DS=V_DD-I_D*R_D; disp(V_DS,'Drain to sorce voltage in volts')
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// Macro for 1 hot encoding of dataset -- Scilab function [categories, encode] = hotEncode(x) categories = unique(x); sizeM = size(x(:, 1))(1); items = size(categories)(1); encode = []; for i = 1:sizeM p = grep(categories,x(i)); encode = [encode; zeros(1, p - 1), 1, zeros(1, items - p)]; end endfunction
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//Ducoulombier Nikita //Looze Valentin clear v0 = zeros(1, 50) v1 = 10 .* ones(1, 50) v2 = 0:0.3:10 v5 = linspace(-3, 7, 50) r = 2 .* ones(1, 25) v = linspace(1, 25, 25) v6 = r .^ v x = linspace(-2, 2, 100); function f= truc(x) truc = (1+x) .* sin(%pi .* x) endfunction y = ((1+x) .* sin(%pi .* x)); xdel(winsid()); fenetre = figure("Figure_name", "Mon premier tracé", "position", [100 50 1000 600]); fenetre.background = color("aliceblue"); set("current_figure", fenetre); plot2d(x', y', style=[color("forestgreen")]) function P1= truc1(x) P1 = %pi .* x endfunction y1 = (%pi .* x); function P2= truc2(x) P2 = (%pi .* x) + (%pi .* (x .^ 2)) endfunction y2 = (%pi .* x) + (%pi .* (x .^ 2)); plot2d(x, y1, style=[color("blue")]); plot2d(x, y2, style=[color("red")]); fenetre2 = figure("Figure_name", "Mon premier tracé", "position", [100 50 1000 600]); fenetre2.background = color("aliceblue"); set("current_figure", fenetre2); function P3 = truc3(t, y) P3 = ((y ./ t) + t) .* log(t) endfunction t = linspace(1, 4, 100); a = 1 coor = get("current_axes"); coor.y_location = "origin"; for u = [-2 1 2] y3 = ode("rk", u, a, t, truc3); plot2d(t, y3, style=[color("black")]); end;
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// c*e^()ax) x=[0:0.1:1]; y=sin(x)+1; yi=log(y); A=[ones(11,1) x']; v=inv(A'*A)*A'*yi' C=exp(v(1)) a=v(2)
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%%-*- mode: erlang -*- %%-*- coding: utf-8 -*- % Test control options [{tests, []}]. %% %% TESTS %% "select a:b from x". "select a::b from x". "select a[] from x". "select a {} from x". "select a:f() from x". "select a:b[f(p:q)] from x". "select a.g:b.f[f(p.r:q)] from x". "select a.g:b.f\n[\tf(p.r:q)] from x".
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//Optimum cruise speed// pathname=get_absolute_file_path('9.08.sce') filename=pathname+filesep()+'9.08-data.sci' exec(filename) //Plotting velocity with drag force V=175:25:455; [m n]=size(V); for i=1:n CL(i)=2*W/p*(3600/V(i)/5280)^2/A; Cd(i)=Cd0+CL(i)^2/%pi/ar; Fd(i)=Cd(i)/CL(i)*W; FD(i)=Fd(i)/1000; end plot(V,FD) xtitle('Flight speed vs thrust','Flight Speed(in mph)','Drag Force(in 1000lbf)') //Optimum cuise speed at speed level is obtained to be 320 mph from the graph. Vosl=320; //Ratio of speeds at 30000 ft and at sea level is given by: r=sqrt(1/0.375); //Stall speed at 30000ft is(in mph): Vs3=Vssl*r; //Optimum Cruise speed at 30000ft(in mph): Vo3=Vosl*r; printf("\n\nRESULTS\n\n") printf("\n\nOptimum cruise speed at sea level: %.3f mph\n\n",Vosl) printf("\n\nStall speed at 30000 ft: %.3f mph\n\n",Vs3) printf("\n\nOptimum cruise speed at 30000 ft: %.3f\n\n",Vo3)
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//Problem 3 //Calculate the number of oscillations corresponding to the coherence length and the coherence time clear clc L=2.945*(10)^(-2)//length for NA light (in m) w=5890//wavelength of NA light (in A) c=3*(10)^8//speed of light n=L/(w*(10)^(-10))//number of oscillations in length L t=L/c//coherence time printf('number of oscillations in length L = %.4f\n',n) printf('coherence time = %.13f sec',t)
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//CHAPTER 7 ILLUSRTATION 10 PAGE NO 206 //TITLE:GOVERNORS //FIGURE 7.10 clc clear //=========================================================================================== //INPUT DATA PI=3.147 AE=.25// LENGTH OF UPPER ARM IN m CE=.25// LENGTH OF LOWER ARM IN m EH=.1// LENGTH OF EXTENDED ARM IN m EF=.15// RADIUS OF BALL PATH IN m m=5// MASS OF EACH BALL IN Kg M=40// MASS OF EACH BALL IN Kg //=================================================================== h=(AE^2-EF^2)^.5// HEIGHT OF THE GOVERNOR IN m EM=h HM=EH+EM// FROM FIGURE 7.10 N=((895/h)*(EM/HM)*((m+M)/m))^.5 printf('EQUILIBRIUM SPEED OF GOVERNOR = %.3f rpm',N)
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// Calculate the change in thickness along its length clc; d=4.5-2.5; Tg=2*(0.5)*0.509; disp(Tg,'change in thickness along its length(micro-meter)')
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clc; clear; D=0.50;//Diameter of machine in m l=0.20;//Lemgth of machine in m lg=0.005;//Gap length in m A1=12800;//Current density of stator A2=9600;//Current density of rotor Lamda=%pi/3;//Electrical torque angle sin(Lamda)==0.87; S=sin(Lamda); Mewzero=4*%pi*(1e-7);//Permeability constant F1=((A1)*D)/2;//MMF of stator F2=((A2)*D)/2;//MMF of rotor M=-((%pi*D*l*(F1)*(F2)*S*(Mewzero))/(2*(lg)));//Torque produced //case1: disp('To find the torque with the machine windings arranged to give a 2-pole field:') M1=M/1;//Torque produced with 2-pole field disp(M1,'Torque for 2-pole field in N-m is') //case2: disp('To find the torque with the machine windings arranged to give a 8-pole field:') M2=M/4;//Torque produced with 8-pole field disp(M2,'Torque for 8-pole field in N-m is')
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tic() global w1 global w2 global w3 global C counter=1 //'w1', 'w2' and 'w3' are the weighting factors --> Weighted Sum Method //'w1_vector', 'w2_vector' and 'w3_vectors' are vectors containing all the weighting factors used during the multi-objective optimization w1=0 while w1<=1.000001 w2=0 while w2<=((1-w1)+0.000001) w1_vector(counter)=w1 w2_vector(counter)=w2 w3=1-w1-w2 w3_vector(counter)=w3 function y=fermenter(V) //'C' is the vector of concentrations, in which: 'C(1)' viable cells concentration; 'C(2)' dead cells concentration; 'C(3)' substrate concentration and 'C(4)' ethanol concentration, all in g/L //'f' is the derivative of 'C' at a given time global f global w1 global w2 global w3 global C // 'to' is the initial time and 'Co' is 'C' at time 'to' //'V' is the vector of decision variables, in which: 'V(1)' batch reactor temperature in oC; 'V(2)' initial concentration of substrate in g/L and 'V(3)' operating time in s to=0 Co=[5;0;V(2);0] //function containing the kinetic model function [f]=fun(t,C,V) global f Ks=23.587; Ki=103.502; Pmax=201.443; ms=0.272; kd=0.054;betamix=2.201; n=0.365; a=2.6; b=-0.282 mumax=2.305*exp(-61.786/V(1))+-15.326*exp(-152.713/V(1)) Yxs=-0.187*exp(-83.083/V(1))+0.05*exp(-3.288/V(1)) Ypx=41.086*exp(-52.601/V(1))+43.330*exp(-52.015/V(1)) Imix=150 f(1)= (mumax*C(3)/(Ks+C(3)+(C(3))^2/Ki)*(1-C(4)/Pmax))*C(1)-kd*C(1) f(2)=kd*C(1) f(3)= -((betamix*(1-a*exp(b*C(1)))*C(3)*Imix^n)*((mumax*C(3)/(Ks+C(3)+(C(3))^2/Ki)*(1-C(4)/Pmax))/Yxs +ms))/((betamix*(1-a*exp(b*C(1)))*C(3)*Imix^n)+(((mumax*C(3)/(Ks+C(3)+(C(3))^2/Ki)*(1-C(4)/Pmax))/Yxs +ms)))*C(1) f(4)= Ypx*(mumax*C(3)/(Ks+C(3)+(C(3))^2/Ki)*(1-C(4)/Pmax))*C(1) endfunction dlist=list(fun,V) t = V(3) C=ode(Co,to,t,dlist) //'t_ss' is the time to reach steady state if f(4)<=0.001 then f(4)=50 t_ss=5 while f(4)>0.001 t_ss=t_ss+0.1 C=ode(Co,to,t_ss,dlist) end else t_ss=13 end //'dev1' and 'dev2' are penalty terms dev1= 32- C(4) dev2=t-t_ss //objective function y=-(w1*(C(4)/t)/9.3 +w2/0.511.*(C(4)./(V(2))) + w3/0.511*(C(4)/(V(2)-C(3))))+0.5*max(0,dev1)+ 0.5*abs(max(0,dev2)) endfunction //////////////////////////// //PSO algorithm xmin=[26,70,1] xmax=[42,170,12] H = abs(xmax-xmin) N=30 c1=2 c2=2 D=3 //Inicialization for i=1:N for d=1:D x(i,d)=xmin(d)+(xmax(d)- xmin(d))*rand(1,1,'uniform') v(i,d)=0 end pk(i,:)=x(i,:) P(i)=fermenter(pk(i,:)) if i==1 then g=pk(1,:) G=P(i) end if P(i)<G then g=pk(i,:) G=P(i) end end //Iterations tmax=50 for tatual=1:tmax for i=1:N R=rand(2,1,'uniform') wmax=0.9 wmin=0.4 w= wmax-(wmax-wmin)*tatual/tmax v(i,:)=w*v(i,:)+ c1*R(1)*(pk(i,:)-x(i,:))+c2*R(2)*(g-x(i,:)) x(i,:)=x(i,:)+v(i,:) for d=1:D if x(i,d)<xmin(d) x(i,d)=xmin(d) v(i,d)=0 end if x(i,d)>xmax(d) x(i,d)=xmax(d) v(i,d)=0 end end X(i)=fermenter(x(i,:)) if X(i)<P(i) pk(i,:)=x(i,:) P(i)=X(i) if P(i)< G g=pk(i,:) G=P(i) end end end end ///////////////////////// //Calculation of goals (Productivity, Yield1 and Yield2) and decision variables(Dec_var_T, Dec_var_So and Dec_var_t) y=fermenter(g) x_opt=g Productivity(counter)=(C(4)/x_opt(3))/9.3 Yield1(counter)=(1/0.511)*(C(4)/x_opt(2)) Yield2(counter)=(C(4)/(x_opt(2)-C(3)))/0.511 Dec_var_T(counter)=x_opt(1) Dec_var_So(counter)=x_opt(2) Dec_var_t(counter)=x_opt(3) //step used for w2 is 0.032 and for w1 is 0.033 w2=w2+0.032 counter=counter+1 end w1=w1+0.033 end computacional_time=toc() //Plotting Pareto frontier and decision variables scf() scatter3(Yield2,Productivity,Yield1,'fill') gca().rotation_angles = [60, 45]; xlabel('$\eta_{P/\Delta S}$') ylabel('$\frac{Q_{P}}{Q_{P}_{max}}$') zlabel('$\eta_{P/S_{o}}$') gca().hidden_axis_color = 1 scf() scatter3(Dec_var_T,Dec_var_So,Dec_var_t,'fill') gca().rotation_angles = [60, 45]; xlabel('$T(^{o}C)$') ylabel('$S_{o}(g/L)$') zlabel('$t_{F}(h)$') gca().hidden_axis_color = 1
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// Exa 11.10 clc; clear; close; format('v',6) // Given data Cs = 0.04;// in pF C_M = 2;// in pF Per = (1/2)*(Cs/C_M)*100;// in % disp("Parallel resonant frequency is greater than series resonant frequency by "+string(Per)+" %")
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//Chapter 21, Problem 20 clc c=4e3 //coper loss p=500e3 //transformer rating r=2.5e3 //iron loss pf=0.75 //power factor x=sqrt(r/c) eff=x*p los=2*r po=eff*pf pi=po-los n=(1-(los/pi))*100 printf("(a) The Output KVA at maximum efficiency = %.2f kVA\n\n",eff/1000) printf("(b) Maximum efficiency = %.2f percent",n)
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INFO: Reading startup configuration from file PulsarLogOn.act_ssl_config -- Fuzzy Logix, LLC: Functional Testing Script for DB Lytix functions on Teradata Aster -- -- Copyright (c): 2016 Fuzzy Logix, LLC -- -- NOTICE: All information contained herein is, and remains the property of Fuzzy Logix, LLC. -- The intellectual and technical concepts contained herein are proprietary to Fuzzy Logix, LLC. -- and may be covered by U.S. and Foreign Patents, patents in process, and are protected by trade -- secret or copyright law. Dissemination of this information or reproduction of this material is -- strictly forbidden unless prior written permission is obtained from Fuzzy Logix, LLC. -- Functional Test Specifications: -- -- Test Category: Date Functions -- -- Last Updated: 05-30-2017 -- -- Author: <kamlesh.meena@fuzzyl.com> -- -- BEGIN: TEST SCRIPT \timing on Timing is on -- BEGIN: TEST(s) -----**************************************************************** ---FLCOLLAPSEDATES -----**************************************************************** SELECT OBSID, CASE WHEN DATEIN1>DATEIN2 THEN DATEIN2 ELSE DATEIN1 END AS MINDATE, CASE WHEN DATEIN1<DATEIN2 THEN DATEIN2 ELSE DATEIN1 END AS MAXDATE, FLCOLLAPSEDATES(MINDATE,MAXDATE) OVER (PARTITION BY OBSID) AS D1 FROM tbltestdate ORDER BY 1,2; ------------------------------------------------------------------------------------- -----**************************************************************** ---FLDateAdd -----**************************************************************** SELECT a.ObsID, a.DateIN1, FLDateAdd('yy', 1, a.DateIN1) AS DateAddYear, FLDateAdd('qq', 1, a.DateIN1) AS DateAddQuarter, FLDateAdd('mm', 1, a.DateIN1) AS DateAddMonth, FLDateAdd('wk', 1, a.DateIN1) AS DateAddWeek, FLDateAdd('dd', 1, a.DateIN1) AS DateAddDay FROM tblTestDate a ORDER BY 1; ------------------------------------------------------------------------------------- -----**************************************************************** ---FLDateConvert -----**************************************************************** SELECT a.ObsID, a.DateIN1, FLDateConvert(a.DateIN1, 101) AS FLDateConvert101, FLDateConvert(a.DateIN1, 102) AS FLDateConvert102, FLDateConvert(a.DateIN1, 103) AS FLDateConvert103, FLDateConvert(a.DateIN1, 104) AS FLDateConvert104, FLDateConvert(a.DateIN1, 105) AS FLDateConvert105, FLDateConvert(a.DateIN1, 106) AS FLDateConvert106, FLDateConvert(a.DateIN1, 107) AS FLDateConvert107, FLDateConvert(a.DateIN1, 110) AS FLDateConvert110, FLDateConvert(a.DateIN1, 111) AS FLDateConvert111, FLDateConvert(a.DateIN1, 112) AS FLDateConvert112 FROM tblTestDate a ORDER BY 1; ------------------------------------------------------------------------------------- -----**************************************************************** ---FLDateDiff -----**************************************************************** SELECT a.ObsID, a.DateIN1, a.DateIN2, FLDateDiff('YEAR',a.DateIN1, a.DateIN2) AS DateDiffYear, FLDateDiff('QUARTER',a.DateIN1, a.DateIN2) AS DateDiffQuarter, FLDateDiff('MONTH',a.DateIN1, a.DateIN2) AS DateDiffMonth, FLDateDiff('WEEK',a.DateIN1, a.DateIN2) AS DateDiffWeek, FLDateDiff('DAY',a.DateIN1, a.DateIN2) AS DateDiffDay FROM tblTestDate a ORDER BY 1; ------------------------------------------------------------------------------------- -----**************************************************************** ---FLDatePart -----**************************************************************** SELECT a.ObsID, a.DateIN1, FLDatePart('yy', a.DateIN1) AS DatePartYear, FLDatePart('qq', a.DateIN1) AS DatePartQuarter, FLDatePart('mm', a.DateIN1) AS DatePartMonth, FLDatePart('dy', a.DateIN1) AS DatePartDayOfYear, FLDatePart('dd', a.DateIN1) AS DatePartDay, FLDatePart('wk', a.DateIN1) AS DatePartWeek, FLDatePart('dw', a.DateIN1) AS DatePartWeekday FROM tblTestDate a ORDER BY 1; ------------------------------------------------------------------------------------- -----**************************************************************** ---FLDateTrunc -----**************************************************************** SELECT a.ObsID, a.DateIN1, FLDateTrunc('yy', a.DateIN1) AS TruncYear, FLDateTrunc('mm', a.DateIN1) AS TruncMonth, FLDateTrunc('dd', a.DateIN1) AS TruncDay FROM tblTestDate a ORDER BY 1; ------------------------------------------------------------------------------------- -----**************************************************************** ---FLDECODEDATES -----**************************************************************** SELECT c.*, t.Start_date, t.End_date FROM ( SELECT OBSID, CASE WHEN DATEIN1>DATEIN2 THEN DATEIN2 ELSE DATEIN1 END AS MINDATE, CASE WHEN DATEIN1<DATEIN2 THEN DATEIN2 ELSE DATEIN1 END AS MAXDATE, FLCOLLAPSEDATES(MINDATE,MAXDATE) OVER (PARTITION BY OBSID) AS D1 FROM tbltestdate ) c, TABLE (FLDECODEDATES(C.D1)) AS T ORDER BY 1,2; ------------------------------------------------------------------------------------- -----**************************************************************** ---FLFirstLast -----**************************************************************** SELECT a.DateIN1, FLFirstLast('F', a.DateTS1, a.ObsId) OVER(PARTITION BY a.DateIN1 ORDER BY a.DateIN1) AS FirstOccurance FROM tblTestDate a ORDER BY 1; ------------------------------------------------------------------------------------- SELECT a.DateIN1, FLFirstLast('L', a.DateTS1, a.ObsId) OVER(PARTITION BY a.DateIN1 ORDER BY a.DateIN1) AS LastOccurance FROM tblTestDate a ORDER BY 1; ------------------------------------------------------------------------------------- -----**************************************************************** ---FLMaxAt -----**************************************************************** SELECT a.TickerSymbol, a.FLMaxAt, b.TxnDate, b.ClosePrice FROM( SELECT a.TickerSymbol, FLMaxAt(a.DateIdx, a.ClosePrice) AS FLMaxAt FROM finStockPrice a WHERE a.TickerSymbol IN ('AAPL','HPQ','IBM','MSFT','ORCL') GROUP BY a.TickerSymbol ) a, finStockPrice b WHERE b.TickerSymbol = a.TickerSymbol AND b.DateIdx = a.FLMaxAt ORDER BY 1; ------------------------------------------------------------------------------------- -----**************************************************************** ---FLMinAt -----**************************************************************** SELECT a.TickerSymbol, a.FLMinAt, b.TxnDate, b.ClosePrice FROM ( SELECT a.TickerSymbol, FLMinAt(a.DateIdx, a.ClosePrice) AS FLMinAt FROM finStockPrice a WHERE a.TickerSymbol IN ('AAPL','HPQ','IBM','MSFT','ORCL') GROUP BY a.TickerSymbol ) a, finStockPrice b WHERE b.TickerSymbol = a.TickerSymbol AND b.DateIdx = a.FLMinAt ORDER BY 1;
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//**************************** nmirror with bias *********************************** if (blk_name.entries(bl) =='nmirror_w_bias') then mputl("#NMIRROR_W_BIAS",fd_w); for ss=1:scs_m.objs(bl).model.ipar(1) nmirror_w_bias_str=".subckt nmirror_w_bias in[0]=fbout_"+string(internal_number)+"_"+string(ss)+" in[1]=net"+string(blk(blk_objs(bl),2))+"_"+string(ss)+" out[0]=fbout_"+string(internal_number)+"_"+string(ss)+" #nmirror_w_bias_fg =0&nmirror_w_bias_bias ="+string(sprintf('%1.2e',scs_m.objs(blk_objs(bl)).model.rpar(4))); mputl(nmirror_w_bias_str,fd_w); mputl(" ",fd_w); if scs_m.objs(bl).model.rpar(1) == 1 then plcvpr = %t; plcloc=[plcloc;"fbout_"+string(internal_number)+"_"+string(ss),string(scs_m.objs(bl).model.rpar(2))+' '+string(scs_m.objs(bl).model.rpar(3))+' 0']; end end internal_number=internal_number+1; end
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A=[-1 0;0 -2]; B=[0;1]; [r c]=size(A) I=eye(r,c) P=cont_mat(A,B); disp(P,"Controllability Matrix=") d=det(P) if d==0 printf("matrix is singular, so system is uncontrollable"); else printf("system is controllable"); end; C=[1 2]; P=obsv_mat(A,C); disp(P,"Observability Matrix="); d=det(P) if d==0 printf("matrix is singular, so system is unobservable"); else printf("system is observable"); end;
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clc G=16 H=7 c=30 Ta=0.65*G*H*(tand(45-c/2))^2 A=Ta*3*3/4 B1=Ta*3-54.61 C=Ta*4*4/4 B2=Ta*4-97.08 s=2 As=A*s Bs=(B1+B2)*s Cs=C*s printf( 'The strut loads at level A = %f kN\n',As) printf( ' The strut loads at level B = %f kN\n',Bs) printf( ' The strut loads at level C = %f kN',Cs)
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//Example 16_3 clc(); clear; //To find the speed of an electron e=1.6*10^-19 //Units in C vab=45 //Units in V m=9.11*10^-31 //Units in Kg va=sqrt((2*e*vab)/m) //Units in meters/sec printf("The speed of the electron is Vab=%.2f meters/sec",va)
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clc clear //INPUT DATA V=2265//volume of hall in m^3 Ta1S1=94.85//The total absorbtion coefficient in m^2 //CALCULATION T1=((0.167*V)/Ta1S1)//The reverberation time in the hall without audience in sec Ta2S2=2*Ta1S1//The new absorbtion coefficient in m^2 T2=((0.167*V)/Ta2S2)//The reverberation time in the hall with audience in sec //OUTPUT printf('The reverberation time in the hall without audience is %3.3f sec \n The reverberation time in the hall with audience is %3.3f sec \n Thus,the reverberation reduces to half of its initial value when the audience fill the hall.',T1,T2)
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//Problem 1.04: A portable machine requires a force of 200 N to move it. How much work is done if the machine is moved 20 m and what average power is utilized if the movement takes 25 s? //initializing the variables: F = 200; // in Newton d = 20; // in m t = 25; // in sec //calculation: W = F*d P = W/t printf("\n\nResult\n\n") printf("\nPower: %.0f watt(W)\n",P)
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function [t,w,e] = ej8a(f,a,b,h,alfa,yex) N=(b-a)/h; t=(a:h:b); w(1)=alfa; w(2:4)=yex(t(2:4)); for (n=4:N) //predictor w(n+1)=w(n)+(h/12)*(23*f(t(n),w(n))-16*f(t(n-1),w(n-1))+5*f(t(n-2),w(n-2))); //corrector w(n+1)=w(n)+(h/24)*(9*f(t(n+1),w(n+1))+19*f(t(n),w(n))-5*f(t(n-1),w(n-1))+f(t(n-2),w(n-2))); end e=abs(yex(t)-w); endfunction function z = f(t,y) z=(1 ./ (1 + (t .^ 2))) - (2 .* (y .^ 2)); endfunction function z = yex(t) z=(t ./ (1 + (t .^ 2))); endfunction alfa=0; a=0; b=10; //Para h=0.125 h1=0.125; [t1,w1,e1] = ej8a(f,a,b,h1,alfa,yex); //Para h=0.0625 h2=0.0625; [t2,w2,e2] = ej8a(f,a,b,h2,alfa,yex); //Toma los puntos que tiene en común e2 con e1 e2mod=e2(1:2:length(e2)); //Calculo del orden empírico lnE=log(norm(e2mod)/norm(e1)); lnh=log(h2/h1); m=lnE/lnh; disp(m)
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//author: Darshan Ramakant Bhat //a = rc2poly(k) converts the reflection coefficients k corresponding to the lattice structure to the prediction filter polynomial a, with a(1) = 1. The output a is row vector of length length(k) + 1. function a =rc2poly(k) if ~isreal(k), error('Line spectral frequencies are not defined for complex polynomials.'); end i =1; a = k(i); for i =2:length(k) a = [a+a(i-1:-1:1)*k(i) k(i)]; end a = [1 a]; endfunction
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clc clear //Input data P1=1;//Initial Pressure of a gas turbine power plant in bar P2=8;//Final pressure in bar T1=300;//Initial temperature in K T5=850;//Temperature of air expanded in the turbine in K m=1.8;//Mass of air circulated per second in kg Cp=1.05;//Specific heat of air at constant pressure in kJ/kg K r=1.4;//Ratio of specific heat //Calculations P4=(P1*P2)^(0.5);//Pressure for maximum power output in bar P3=P2;//Pressure after the constant pressure process in bar T3=T5;//For reheating condition Temperature in K T2=T1*(P2/P1)^((r-1)/r);//Temperature at the end of constant entropy process in K T4=T3/((P3/P4)^((r-1)/r));//Temperature after the process 3-4 in K T6=T4;//Temperature at the end of process 5-6 in K Wt=m*Cp*((T3-T4)+(T5-T6));//Work done by the turbine in kJ/s Wc=m*Cp*(T2-T1);//Work absorbed by the compressor in kJ/s P=Wt-Wc;//Power that can be obtained from gas turbine installation in kW //Output printf('The maximum power that can be obtained from turbine installation is %3.0f kW',P)
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errcatch(-1,"stop");mode(2);//Ex:1.14 ; ; r=12;//in ohms v=6;//in volts i=(v/r); printf("Current = %f Amp",i); exit();
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//Given that C = 15*10^-6 //in Farad Em = 36.0 //in volts fd = 60.0 //in Hz //Sample Problem 33-5a printf("**Sample Problem 33-5a**\n") //Vc = Emax*sin(w*t) printf("The voltage drop across the capacitor is Vc=%1.2f*sin(%1.2f*t)\n", Em, w) //Sample Problem 33-5b printf("\n**Sample Problem 33-5b**\n") //I = -C*(dV/dt) IcMAX = abs(w*C*Em) printf("The current in the capacitor as a function of time is Ic=%1.2f*cos(%1.2f*t)", IcMAX, w)
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//Exa 1.10 clc; clear; close; //given data VBE=0.7;//in Volts BETA=120;//unitless disp("as BETA>>1"); VCC=10;//in Volts //KCL at Node a disp("Writing KCL at Node (a) gives :"); disp("IR=IC1+I"); disp("IR=IC1+IB1+I1"); disp("IR=IC1+IC1/BETA+I1"); disp("IR=IC1(1+1/BETA)+I1"); disp("as BETA>>1"); disp("IR=IC1+I1"); //KCL at Node b disp("Writing KCL at Node (b) gives :"); disp("I1=IC2+I2"); disp("I1=IC2+IB2+IB3"); disp("I1=IC2+IC2/BETA+IB3"); disp("IR=IC2(1+1/BETA)+IB3"); disp("as BETA>>1"); disp("I1=IC2+IB3"); //solving both equations disp("IR=IC1+IC2+IB3"); disp("IR=2IC+IB3") //As transistors are matched VBE1=VBE;//in Volts VBE2=VBE;//in Volts VBE3=VBE;//in Volts disp("As transistors are matched. IC1=IC2=IC") disp("IR=2IC+IC3/BETA=2IC+IC/BETA"); disp("Due to current Mirror formed. IC1=IC2=IC3=IC") disp("IR=IC(2+1/BETA)"); disp("as BETA>>1"); disp("IR=2*IC"); IR=(VCC-VBE)/(3.6);//in mA IC=IR/2;//in mA Iload=IC;//in mA disp(Iload,"Load current in the circuit in mA is :")
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//To Find the Magnetic Dipole Moment of the Current Loop //Example 34.4 clear; clc; i=10.0*10^-9;//Current in the Circular Loop in Amperes r=5.0*10^-2;//Radius of the Circular Loop in metres A=%pi*r^2;//Area of Circular Loop u=i*A;//Magnetic Dipole Moment in A-m^2 printf("Magnetic Dipole Moment = %f*10^-11 A-m^2",u*10^11);
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clc;funcprot(0);//Example 7.2 //Initilisation of Variables Do=0.013;.....//Outer diameter of tube in m Tw=75;....//Uniform temparature of tube in degrees celcius Tv=85;......//Temparature of condence steam in degrees celcius N=256;.....//Number of tubes Na=16;....//number of arrangements in array Kl=0.668;.....//Thermal conductivity of tube in W/m K Ml=355*10^-6;....//saturated liquid velocity in kg/m s hfg=2309*10^3;....//latent heat of vapouraisation in kJ/kg g=9.81;......//accelaration due to gravity in m/s^2 Pl=974;.....//density of saturated liquid in kg/m^3 hii=0.725*[(g*Pl^2*hfg*Kl^3)/(Ml*(Tv-Tw)*Na*Do)]^(1/4);.....//Average heat transfer coefficient of horizantal tube in W/m^2 K m=1;....//Length of tube in m Q=hii*m*(N*%pi*Do)*(Tv-Tw);......//Heat flow rate of tubes in per meter length ma=Q/hfg;.....//Mass of condensate per meter length in kg/s.m disp(ma,"Mass of condensate per meter length in kg/s.m") //////The Answer arraived in textbook is found to be wrong when calculated
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//EX9_10 PG-9.24 clc L1=2e-3; L2=20e-6; Leq=L1+L2;//total inductance for Hartley oscillator fmax=2050e3;//maximum frequency fmin=950e3;//minimum frequency printf("For f=fmax=2050kHz") f=fmax; C=1/(4*%pi^2*f^2*Leq);//since f=1/(2*%pi*sqrt(Leq*C)); C=C*1e12 printf("\n C=%.2f pF \n",C) printf("\n For f=fmin=950kHz") f=fmin; C1=1/(4*%pi^2*f^2*Leq);//since f=1/(2*%pi*sqrt(Leq*C)); C1=C1*1e12 printf("\n C=%.2f pF \n",C1) printf("\n Hence C must be varied between %.2f pF and %.2f pF \n",C,C1)
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clc;clear; //Example 16.7 //given data T=120+273.15;//in K //from Table A-4 hf=503.81; hg=2706; sf=1.5279; sg=7.1292; //calculations disp('liquid phase'); gf=hf-T*sf; disp(gf,'gf value in kJ/kg'); disp('vapour phase'); gg=hg-T*sg; disp(gg,'gg value in kJ/kg');
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//Variable declaration V2=6/7. //voltage source(V) //Calculations Rth=V2 //thevinin resistance(ohms) Zl=Rth //load resistance(ohms) //Result printf ("load resistance is %.3f ohms",Zl)
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//check o/p when i/p is a matrix containing imaginary and nan elements v=[3 5 2 ;1+6*%i 6 3; %nan 7 8 ]; m=cummax(v,'reverse'); disp(m); //output // Nan 7. 8. // Nan 7. 8. // Nan 7. 8. // //corresponding MATLAB o/p //1.0000 + 6.0000i 7.0000 + 0.0000i 8.0000 + 0.0000i // 1.0000 + 6.0000i 7.0000 + 0.0000i 8.0000 + 0.0000i // NaN + 0.0000i 7.0000 + 0.0000i 8.0000 + 0.0000i
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clc; //Example 7.4 //page no 67, fig 7.5 printf("Example 7.4 page no,fig 7.5\n\n") //Given pollutant in ppm in liquid stream ,some pollutant in discharge volume //calculate what fraction of liquid bypass //liquid stream having 600 ppm pollutant //pollutant in the discharge stream is 50 ppm //if B =factio of liquid bypassed,then 1-B= fraction of liquid treated //performing a pollutant mass balance around point2 in fig. 7.5 B=poly([0],'x'); N=roots((1-B)*0+600*B-50*1) printf("\n\n calculation:\n calculation of liquid bypassed B=%.4f ",N(1));
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//Ex 5.5 clc;clear;close; Vo=0.7;//V Vsat=12;//V R1=10;//kohm R2=60;//kohm Vth=R1/(R1+R2)*Vo;//V iDmax=(Vsat-Vo)/R1-Vo/(R1+R2);//mA disp(iDmax,"Maximum current(mA) : ");
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//page 53 //Example 2.19 clear; clc; close; disp('P = '); disp('cos(thetha) -sin(thetha)'); disp('sin(thetha) cos(thetha)'); disp('Inverse(P) = '); disp('cos(thetha) sin(thetha)'); disp('-sin(thetha) cos(thetha)'); disp('where, thetha is some real number'); disp('The basis for R^2 (B'') is the set consisting of vectors (cos(thetha) , sin(thetha)) and (-sin(thetha) , cos(thetha))'); disp('This basis may be obtained by rotating the standard basis by angle thetha'); disp('a = [x1 x2]'); disp('[a]B'' = '); disp('|cos(thetha) sin(thetha)| * |x1|'); disp('|-sin(thetha) cos(thetha)| |x2|'); disp('or'); disp('x1'' = x1*cos(thetha) + x2*sin(thetha)'); disp('x2'' = -x1*sin(thetha) + x2*cos(thetha)'); //end
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function [s] = MySequence(n) // หาค่าของ s_n เมื่อ n เป็นจำนวนเต็มบวกที่กำหนดให้ โดยใช้ฟังก์ชันเวียนเกิด if n <= 0 then // แจ้งข้อผิดพลาดแก่ผู้ใช้งาน error("n ต้องเป็นจำนวนเต็มบวก"); elseif n == 1 then s = 1; // output ค่าของ s_1 elseif n == 2 then s = 2; // output ค่าของ s_2 elseif n == 3 then s = 3/4; // output ค่าของ s_3 else s = MySequence(n-1); // s = s_{n-1} s = s + 2*sqrt(MySequence(n-2)); // s = s + 2*sqrt(s_{n-2}) s = s / (4*MySequence(n-3)); // s = s / (4*s_{n-3}) end endfunction
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//Caption:expression_for_unit_step_response // example 11_11 //page 481 syms G1 G2 G3 H1 t; s=%s; G1=s+1; G2=1/(s+2); H2=1/(s*(s+1)); H1=1/(s+2); a=G1/(1+G1*H1); b=a/(1+a*H2) y=b*G2; disp(y,"C(s)/R(s)=") //for unit step response R(s)=1/s; C=y*(1/s) c=ilaplace(C,s,t) disp(c,"expression_for_unit_step_response_is=")
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example_11_3.sce
//there is no pole or zero at the origin as the slope is initially 0 wc1=1 y1=poly([1 1 ],'s','coeff'); // mag at wc2 is -20 and wc1 is 0. hence wc1 and wc2 are a decade apart. wc2=10 y2=poly([1 1/wc2 ],'s','coeff'); disp(y2) // mag at wc2 is -20 and at w=1000 is 0. hence wc2 and wc3 are decade apart. wc3=100 y3=poly([1 1/wc3 ],'s','coeff'); wc4=1000 //given y4=poly([1 1/wc4 ],'s','coeff'); TF= (y2*y3)/(y1*y4) disp(TF,"transfer function = ")
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7_1.sce
clc clear //Input data N=1500;//Engine speed in rpm p=110;//Load on brakes in kg L=900;//Length of brake arm in mm g=9.81;//Gravitational force in N/m^2 pi=3.14;//Mathematical constant //Calculations T=((p*g)*(L/1000));//Braking torque in Nm P=((T/1000)*((2*3.14*N)/60));//Power available at the brakes of the engine in kW //Output printf('(a) Brake torque is %3.1f Nm \n (b)Power available at the brakes of the engine is %3.2f kW',T,P)
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Ex7_7.sce
clc;clear; //Example 7.7 //given data P1=1; T1=110; P2=5; T2=120; //from Table //At P1 and T1 s1=4.875; cp1=3.471; //at P2 and T2 s2=5.145; cp2=3.486; //calculations //part - a dSa=s2-s1; disp(dSa,'change in entropy in kJ/kg K using tabulated properties'); //part - b cavg=(cp1+cp2)/2; dSb=cavg*log(T2/T1); disp(dSb,'change in entropy in kJ/kg K approximating liquid methane as an incompressible substance'); E=(dSb-dSa)/dSa*100; disp(E,'Error % is')
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23_10.sce
//Chapter 23, Problem 10 clc; nr = 24; // in rev/sec p = 4/2; // no. of pole pairs R2 = 0.35; // in Ohms X2 = 3.5; // in Ohms V = 415; // in Volts tr = 0.85; // turn ratio N2/N1 f = 50 ; // in Hz Pl = 770; // in Watt m = 3; // no. of phases //ns is the synchronous speed, f is the frequency in hertz of the supply to the stator and p is the number of pairs of poles. ns = f/p //The slip, s s = ((ns - nr)/ns)*100 // in percent //Phase voltage, E1 = V/(3^0.5) E1 = V/(3^0.5) //Full load torque T = [m*(tr^2)/(2*%pi*ns)]*[(s/100)*E1*E1*R2/(R2*R2 + (X2*(s/100))^2)] //Output power, including friction losses Pm = 2*%pi*nr*T //power output Po = Pm - Pl //Maximum torque occurs when R2 = Xr = 0.35 ohm //Slip sm = R2/X2 //maximum torque, Tm Tm = [m*(tr^2)/(2*%pi*ns)]*[sm*E1*E1*R2/(R2*R2 + (X2*sm)^2)] //speed at which maximum torque occurs nrm = ns*(1 - sm) nrmrpm = nrm*60 //At the start, i.e., at standstill, slip, s=1 ss = 1 //starting torque Ts = [m*(tr^2)/(2*%pi*ns)]*[ss*E1*E1*R2/(R2*R2 + (X2*ss)^2)] printf("\n\n(a)Synchronous speed is %.0f rev/sec",ns) printf("\n\n(b)Slip is %.0f percent",s) printf("\n\n(c)Full load torque is %.2f Nm",T) printf("\n\n(d)power output is %.2E W",Po) printf("\n\n(e)maximum torque is %.2f Nm",Tm) printf("\n\n(f)speed at which maximum torque occurs is %.0frev/min",nrmrpm) printf("\n\n(g)starting torque is %.2f Nm",Ts)
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//Ch25_Ex17 clc; clear; close; vol=0.88; l=7; //length d=2/100; //diameter converting into centimeter r=d/2; volRod=%pi*r^2*l; noRods=vol/volRod; //number of rods mprintf("The number of rods made are %.0f",noRods);
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# 3^0*(108*r^2 + 20*r + 1) = 2 * m^2 + n^2 ? 0 1 1 3*43 = 2 * (2)^2 + (11)^2 proper representation by 2^2 + 11^2 2 11*43 = 2 * (2^2)^2 + (3*7)^2 proper representation by 4^2 + 21^2 = 2 * (2*7)^2 + (3^2)^2 proper representation by 14^2 + 9^2 [2] 3 1033 = 2 * (2*3)^2 + (31)^2 proper representation by 6^2 + 31^2 4 3^3*67 = 2 * (2^3)^2 + (41)^2 proper representation by 8^2 + 41^2 = 2 * (2^2*3)^2 + (3*13)^2 = 2 * (2*11)^2 + (29)^2 proper representation by 22^2 + 29^2 = 2 * (2*3*5)^2 + (3)^2 [4] 5 2801 = 2 * (2*5)^2 + (3*17)^2 proper representation by 10^2 + 51^2 6 19*211 = 2 * (2^2*3)^2 + (61)^2 proper representation by 12^2 + 61^2 = 2 * (2*3*5)^2 + (47)^2 proper representation by 30^2 + 47^2 [2] 7 3*1811 = 2 * (2*7)^2 + (71)^2 proper representation by 14^2 + 71^2 = 2 * (2^2*13)^2 + (5)^2 proper representation by 52^2 + 5^2 [2] 8 11*643 = 2 * (2^4)^2 + (3^4)^2 proper representation by 16^2 + 81^2 = 2 * (2*17)^2 + (3*23)^2 proper representation by 34^2 + 69^2 [2] 9 8929 = 2 * (2*3^2)^2 + (7*13)^2 proper representation by 18^2 + 91^2 10 3*19*193 = 2 * (2*7)^2 + (103)^2 proper representation by 14^2 + 103^2 = 2 * (2^2*5)^2 + (101)^2 proper representation by 20^2 + 101^2 = 2 * (2^6)^2 + (53)^2 proper representation by 64^2 + 53^2 = 2 * (2*37)^2 + (7)^2 proper representation by 74^2 + 7^2 [4] 11 97*137 = 2 * (2*11)^2 + (3*37)^2 proper representation by 22^2 + 111^2 = 2 * (2*29)^2 + (3^4)^2 proper representation by 58^2 + 81^2 [2] 12 17*929 = 2 * (2^3*3)^2 + (11^2)^2 proper representation by 24^2 + 121^2 = 2 * (2^2*3*7)^2 + (41)^2 proper representation by 84^2 + 41^2 [2] 13 3^2*11^2*17 = 2 * (2^2*3)^2 + (3^3*5)^2 = 2 * (2*13)^2 + (131)^2 proper representation by 26^2 + 131^2 = 2 * (2*19)^2 + (5^3)^2 proper representation by 38^2 + 125^2 = 2 * (2^2*11)^2 + (11^2)^2 = 2 * (2*3*11)^2 + (3^2*11)^2 = 2 * (2*43)^2 + (61)^2 proper representation by 86^2 + 61^2 = 2 * (2^3*11)^2 + (5*11)^2 = 2 * (2*47)^2 + (29)^2 proper representation by 94^2 + 29^2 = 2 * (2^5*3)^2 + (3^2)^2 [9] 14 89*241 = 2 * (2^2*7)^2 + (3*47)^2 proper representation by 28^2 + 141^2 = 2 * (2^4*5)^2 + (3*31)^2 proper representation by 80^2 + 93^2 [2] 15 73*337 = 2 * (2*3*5)^2 + (151)^2 proper representation by 30^2 + 151^2 = 2 * (2*3^3)^2 + (137)^2 proper representation by 54^2 + 137^2 [2] 16 3*9323 = 2 * (2^5)^2 + (7*23)^2 proper representation by 32^2 + 161^2 = 2 * (2*59)^2 + (11)^2 proper representation by 118^2 + 11^2 [2] 17 139*227 = 2 * (2*17)^2 + (3^2*19)^2 proper representation by 34^2 + 171^2 = 2 * (2^3*7)^2 + (3*53)^2 proper representation by 56^2 + 159^2 [2] 18 35353 = 2 * (2^2*3^2)^2 + (181)^2 proper representation by 36^2 + 181^2 19 3*11*1193 = 2 * (2*19)^2 + (191)^2 proper representation by 38^2 + 191^2 = 2 * (2^4*5)^2 + (163)^2 proper representation by 80^2 + 163^2 = 2 * (2*41)^2 + (7*23)^2 proper representation by 82^2 + 161^2 = 2 * (2^2*5*7)^2 + (13)^2 proper representation by 140^2 + 13^2 [4] 20 59*739 = 2 * (2^3*5)^2 + (3*67)^2 proper representation by 40^2 + 201^2 = 2 * (2*5*13)^2 + (3^2*11)^2 proper representation by 130^2 + 99^2 [2] 21 48049 = 2 * (2*3*7)^2 + (211)^2 proper representation by 42^2 + 211^2 22 3^2*5857 = 2 * (2^2*11)^2 + (13*17)^2 proper representation by 44^2 + 221^2 = 2 * (2^6)^2 + (211)^2 proper representation by 64^2 + 211^2 = 2 * (2*3^4)^2 + (3*5)^2 [3] 23 57593 = 2 * (2*23)^2 + (3*7*11)^2 proper representation by 46^2 + 231^2 24 11*41*139 = 2 * (2^4*3)^2 + (241)^2 proper representation by 48^2 + 241^2 = 2 * (2*3*5^2)^2 + (7*19)^2 proper representation by 150^2 + 133^2 = 2 * (2*3^4)^2 + (101)^2 proper representation by 162^2 + 101^2 = 2 * (2^3*3*7)^2 + (79)^2 proper representation by 168^2 + 79^2 [4] 25 3*19*1193 = 2 * (2*5^2)^2 + (251)^2 proper representation by 50^2 + 251^2 = 2 * (2^2*31)^2 + (193)^2 proper representation by 124^2 + 193^2 = 2 * (2*5*17)^2 + (101)^2 proper representation by 170^2 + 101^2 = 2 * (2^3*23)^2 + (17)^2 proper representation by 184^2 + 17^2 [4] 26 73529 = 2 * (2^2*13)^2 + (3^2*29)^2 proper representation by 52^2 + 261^2 27 79273 = 2 * (2*3^3)^2 + (271)^2 proper representation by 54^2 + 271^2 28 3*28411 = 2 * (2^3*7)^2 + (281)^2 proper representation by 56^2 + 281^2 = 2 * (2*103)^2 + (19)^2 proper representation by 206^2 + 19^2 [2] 29 17*19*283 = 2 * (2^3*5)^2 + (3^3*11)^2 proper representation by 40^2 + 297^2 = 2 * (2*29)^2 + (3*97)^2 proper representation by 58^2 + 291^2 = 2 * (2*101)^2 + (3^2*11)^2 proper representation by 202^2 + 99^2 = 2 * (2^2*53)^2 + (3*13)^2 proper representation by 212^2 + 39^2 [4] 30 11*17*523 = 2 * (2^2*3*5)^2 + (7*43)^2 proper representation by 60^2 + 301^2 = 2 * (2*3^2*7)^2 + (257)^2 proper representation by 126^2 + 257^2 = 2 * (2*3*29)^2 + (193)^2 proper representation by 174^2 + 193^2 = 2 * (2^3*3^3)^2 + (67)^2 proper representation by 216^2 + 67^2 [4] 31 3^4*1289 = 2 * (2*31)^2 + (311)^2 proper representation by 62^2 + 311^2 = 2 * (2*3^2*5)^2 + (3^3*11)^2 = 2 * (2^3*3*7)^2 + (3*73)^2 = 2 * (2*101)^2 + (151)^2 proper representation by 202^2 + 151^2 = 2 * (2^2*3*19)^2 + (3*7)^2 [5] 32 41*2713 = 2 * (2^6)^2 + (3*107)^2 proper representation by 64^2 + 321^2 = 2 * (2^3*19)^2 + (3*5*17)^2 proper representation by 152^2 + 255^2 [2] 33 118273 = 2 * (2*3*11)^2 + (331)^2 proper representation by 66^2 + 331^2 34 3*41843 = 2 * (2^2*17)^2 + (11*31)^2 proper representation by 68^2 + 341^2 = 2 * (2*5^3)^2 + (23)^2 proper representation by 250^2 + 23^2 [2] 35 11*107*113 = 2 * (2*5*7)^2 + (3^3*13)^2 proper representation by 70^2 + 351^2 = 2 * (2^2*7^2)^2 + (3*79)^2 proper representation by 196^2 + 237^2 = 2 * (2^2*59)^2 + (3*7^2)^2 proper representation by 236^2 + 147^2 = 2 * (2*127)^2 + (3^2*7)^2 proper representation by 254^2 + 63^2 [4] 36 140689 = 2 * (2^3*3^2)^2 + (19^2)^2 proper representation by 72^2 + 361^2 37 3*49531 = 2 * (2*37)^2 + (7*53)^2 proper representation by 74^2 + 371^2 = 2 * (2^4*17)^2 + (5^2)^2 proper representation by 272^2 + 25^2 [2] 38 67*2339 = 2 * (2^2*19)^2 + (3*127)^2 proper representation by 76^2 + 381^2 = 2 * (2*137)^2 + (3^4)^2 proper representation by 274^2 + 81^2 [2] 39 165049 = 2 * (2*3*13)^2 + (17*23)^2 proper representation by 78^2 + 391^2 40 3^2*19289 = 2 * (2^4*5)^2 + (401)^2 proper representation by 80^2 + 401^2 = 2 * (2^2*29)^2 + (383)^2 proper representation by 116^2 + 383^2 = 2 * (2*3*7^2)^2 + (3^3)^2 [3] 41 11*59*281 = 2 * (2*41)^2 + (3*137)^2 proper representation by 82^2 + 411^2 = 2 * (2^3*19)^2 + (3^2*41)^2 proper representation by 152^2 + 369^2 = 2 * (2^2*43)^2 + (3^3*13)^2 proper representation by 172^2 + 351^2 = 2 * (2*149)^2 + (3*23)^2 proper representation by 298^2 + 69^2 [4] 42 191353 = 2 * (2^2*3*7)^2 + (421)^2 proper representation by 84^2 + 421^2 43 3*66851 = 2 * (2*43)^2 + (431)^2 proper representation by 86^2 + 431^2 = 2 * (2^2*79)^2 + (29)^2 proper representation by 316^2 + 29^2 [2] 44 19*43*257 = 2 * (2^3*11)^2 + (3^2*7^2)^2 proper representation by 88^2 + 441^2 = 2 * (2*109)^2 + (3*113)^2 proper representation by 218^2 + 339^2 = 2 * (2^4*17)^2 + (3*83)^2 proper representation by 272^2 + 249^2 = 2 * (2*7*23)^2 + (3*17)^2 proper representation by 322^2 + 51^2 [4] 45 43*5107 = 2 * (2*3^2*5)^2 + (11*41)^2 proper representation by 90^2 + 451^2 = 2 * (2^2*3*5^2)^2 + (199)^2 proper representation by 300^2 + 199^2 [2] 46 3*11*17*409 = 2 * (2)^2 + (479)^2 proper representation by 2^2 + 479^2 = 2 * (2^2*23)^2 + (461)^2 proper representation by 92^2 + 461^2 = 2 * (2*59)^2 + (449)^2 proper representation by 118^2 + 449^2 = 2 * (2^3*29)^2 + (349)^2 proper representation by 232^2 + 349^2 = 2 * (2^2*5*13)^2 + (307)^2 proper representation by 260^2 + 307^2 = 2 * (2*5*31)^2 + (193)^2 proper representation by 310^2 + 193^2 = 2 * (2^6*5)^2 + (157)^2 proper representation by 320^2 + 157^2 = 2 * (2*13^2)^2 + (31)^2 proper representation by 338^2 + 31^2 [8] 47 17*73*193 = 2 * (2*7)^2 + (3*163)^2 proper representation by 14^2 + 489^2 = 2 * (2*47)^2 + (3*157)^2 proper representation by 94^2 + 471^2 = 2 * (2*13^2)^2 + (3*5*7)^2 proper representation by 338^2 + 105^2 = 2 * (2*173)^2 + (3^2)^2 proper representation by 346^2 + 9^2 [4] 48 19*13147 = 2 * (2*3*11)^2 + (491)^2 proper representation by 66^2 + 491^2 = 2 * (2^5*3)^2 + (13*37)^2 proper representation by 96^2 + 481^2 [2] 49 3^2*28921 = 2 * (2*7^2)^2 + (491)^2 proper representation by 98^2 + 491^2 = 2 * (2*71)^2 + (7*67)^2 proper representation by 142^2 + 469^2 = 2 * (2^3*3^2*5)^2 + (3*11)^2 [3] 50 457*593 = 2 * (2^2*5^2)^2 + (3*167)^2 proper representation by 100^2 + 501^2 = 2 * (2^2*79)^2 + (3*89)^2 proper representation by 316^2 + 267^2 [2] 51 257*1097 = 2 * (2*3*17)^2 + (7*73)^2 proper representation by 102^2 + 511^2 = 2 * (2*3^4)^2 + (479)^2 proper representation by 162^2 + 479^2 [2] 52 3*11*83*107 = 2 * (2*7)^2 + (541)^2 proper representation by 14^2 + 541^2 = 2 * (2^3*13)^2 + (521)^2 proper representation by 104^2 + 521^2 = 2 * (2*59)^2 + (5*103)^2 proper representation by 118^2 + 515^2 = 2 * (2*109)^2 + (5*89)^2 proper representation by 218^2 + 445^2 = 2 * (2^5*7)^2 + (439)^2 proper representation by 224^2 + 439^2 = 2 * (2^4*19)^2 + (7*47)^2 proper representation by 304^2 + 329^2 = 2 * (2^2*89)^2 + (199)^2 proper representation by 356^2 + 199^2 = 2 * (2*191)^2 + (5*7)^2 proper representation by 382^2 + 35^2 [8] 53 304433 = 2 * (2*53)^2 + (3^2*59)^2 proper representation by 106^2 + 531^2 54 251*1259 = 2 * (2*3*7)^2 + (13*43)^2 proper representation by 42^2 + 559^2 = 2 * (2^2*3^3)^2 + (541)^2 proper representation by 108^2 + 541^2 [2] 55 3*109267 = 2 * (2*5*11)^2 + (19*29)^2 proper representation by 110^2 + 551^2 = 2 * (2^2*101)^2 + (37)^2 proper representation by 404^2 + 37^2 [2] 56 419*811 = 2 * (2^4*7)^2 + (3*11*17)^2 proper representation by 112^2 + 561^2 = 2 * (2*191)^2 + (3*73)^2 proper representation by 382^2 + 219^2 [2] 57 11*32003 = 2 * (2*3*19)^2 + (571)^2 proper representation by 114^2 + 571^2 = 2 * (2^7*3)^2 + (239)^2 proper representation by 384^2 + 239^2 [2] 58 3^3*13499 = 2 * (2^2*29)^2 + (7*83)^2 proper representation by 116^2 + 581^2 = 2 * (2^3*3*7)^2 + (3*5*37)^2 = 2 * (2*157)^2 + (409)^2 proper representation by 314^2 + 409^2 = 2 * (2*3*71)^2 + (3*13)^2 [4] 59 377129 = 2 * (2*59)^2 + (3*197)^2 proper representation by 118^2 + 591^2 60 390001 = 2 * (2^3*3*5)^2 + (601)^2 proper representation by 120^2 + 601^2 61 3*134363 = 2 * (2*61)^2 + (13*47)^2 proper representation by 122^2 + 611^2 = 2 * (2^6*7)^2 + (41)^2 proper representation by 448^2 + 41^2 [2] 62 416393 = 2 * (2^2*31)^2 + (3^3*23)^2 proper representation by 124^2 + 621^2 63 11^3*17*19 = 2 * (2*3*11)^2 + (11*59)^2 = 2 * (2*3^2*7)^2 + (631)^2 proper representation by 126^2 + 631^2 = 2 * (2^3*3*11)^2 + (7^2*11)^2 = 2 * (2^3*3*13)^2 + (5*97)^2 proper representation by 312^2 + 485^2 = 2 * (2^2*3^4)^2 + (7*67)^2 proper representation by 324^2 + 469^2 = 2 * (2^2*3^2*11)^2 + (11*31)^2 = 2 * (2*3*73)^2 + (5*43)^2 proper representation by 438^2 + 215^2 = 2 * (2*3*7*11)^2 + (5*11)^2 [8]
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//Ex11_4 Pg-564 clc Vcc=10 //supply volage in V Rc=3600 //collector resistor in ohm Re=680 //emitter resistor in ohm Ri=10000 //input resistor in ohm R2=2.2 //resistor R2 in ohm R1=10 //resistor R1 in ohm Vb=R2/(R1+R2)*Vcc //bias voltage printf("(1) Bias voltage = %.1f V \n",Vb) Ie=(Vb-0.7)/Re //emitter current printf(" Emitter current = %.2f mA\n",Ie*1e3) Vc=Vcc-Rc*Ie //Dc collector voltage printf(" DC collector voltage = %.2f V\n",Vc) Vceq=Vc-Ie*Re //DC collector to emitter voltage printf(" DC collector to emitter voltage = %.2f V\n",Vceq) Pd=Vceq*Ie //power dissipation printf(" Power dissipation = %.2f mW\n",Pd*1e3) printf("\n(2)If collector resistance Rc is replaced by tank circuit \n there is no voltage drop across it. \n") Vc=Vcc printf(" DC collector voltage = %.0f V\n",Vc) Vceq=Vc-Ie*Re //DC collector to emitter voltage printf(" DC collector to emitter voltage = %.2f V\n",Vceq) Pd=Vceq*Ie //power dissipation printf(" Power dissipation = %.2f mW\n",Pd*1e3)
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// Given:- Rbar = 8.314 // universal gas constant in SI units Tnot = 298.0 // in kelvin // With data from the steam tables h = 2939.9 // in kj/kg hnot = 104.9 // in kj/kg s = 7.2307 // in kj/kg snot = 0.3674 // in kj/kg // With data from Table A-25 gbarH2Oliq = -237180.0 gbarH2Ogas = -228590.0 yeH2O = 0.0303 M =18.0 // molar mass of steam // Calculations ech = (1.0/M)*(gbarH2Oliq-gbarH2Ogas + Rbar*Tnot*log(1/yeH2O)) // in kj/kg ef = h-hnot-Tnot*(s-snot) + ech // in kj/kg // Result printf( ' The flow exergy of the steam, in is: %.2f kJ/kg ',ef)
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<?xml version="1.0" encoding="utf-8"?> <test> <description>Euler Isentropic Vortex P=11, periodic bcs, FRDG, GLL_LAGRANGE_SEM</description> <executable>CompressibleFlowSolver</executable> <parameters>IsentropicVortex_FRDG_SEM.xml</parameters> <files> <file description="Session File">IsentropicVortex_FRDG_SEM.xml</file> </files> <metrics> <metric type="L2" id="1"> <value variable="rho" tolerance="1e-12">0.0447202</value> <value variable="rhou" tolerance="1e-12">0.0789786</value> <value variable="rhov" tolerance="1e-12">0.0618054</value> <value variable="E" tolerance="1e-12">0.175818</value> </metric> <metric type="Linf" id="2"> <value variable="rho" tolerance="1e-12">0.0454094</value> <value variable="rhou" tolerance="1e-12">0.0898222</value> <value variable="rhov" tolerance="1e-12">0.0728035</value> <value variable="E" tolerance="1e-12">0.180614</value> </metric> </metrics> </test>
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// Exa 10.2 clc; clear; close; format('v',6) // Given data P = 8; N = 1200;// in rpm phi = 25;// in mWb phi = phi * 10^-3;// in Wb Eg = 440;// in V A = P; // Eg = (N*P*phi*Z)/(60*A); Z = (Eg*60*A)/(phi*N*P);// in conductors disp(Z,"The numbers of conductors when armature is lap wound"); A = 2; // Eg = (N*P*phi*Z)/(60*A); Z = (Eg*60*A)/(phi*N*P);// in conductors disp(Z,"The numbers of conductors when armature is wave wound ");
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//Example 7_11 clc(); clear; //To find the mass of the sun t=3.15*10^7 //units in sec r=1.5*10^11 //units in meters v=(2*%pi*r)/t //units in meters/sec G=6.67*10^-11 //units in Newtons ms=(v^2*r)/G //Units in Kg printf("The mass of the sun is Ms=") disp(ms) printf("Kg")
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// Macro for rebalancing classes of dataset -- Scilab function [x, y] = rebalanceOver(x, y) classVal = tabul(y) classNumber = max(real(classVal(:, 2))) numClasses = length(classVal(:, 1)) mainMat = [x, y] features = length(x(1,:)) for i = 1:numClasses classData = mainMat(find(mainMat(:, features + 1) == classVal(i, 1)), :) thisClass = real(classVal(i, 2)) for j = thisClass:classNumber - 1 mainMat = [mainMat; classData(1 + (thisClass-1)*rand(), :)] end end x = mainMat(:,1:features) y = mainMat(:, features + 1) endfunction // Subroutine to get distance between two points function dist = getDistance(point1, point2) n1 = length(point1) dist = 0 for i = 1:n1 dist = dist + (point1(i)-point2(i))^2; end dist = sqrt(dist); endfunction // Function to return flags for category of each data point function flags = kmeansCluster(x, centres) n = length(x(:,1)); index = round(n.*rand(1,centres)); points = []; flags = []; // Get a set of random centres for i = 1:centres points = [points; x(index(i), :)]; end for i = 1:n mindistance = -1; minindex = -1; // Find the closest centre to the data point for j = 1:centres if(minindex == -1) mindistance = getDistance(x(i, :), points(1, :)); minindex = 1; elseif(getDistance(x(i, :), points(j, :)) < mindistance) mindistance = getDistance(x(i, :), points(j, :)); minindex = j; end end // Update the centre with the new data point flags = [flags, minindex]; points(minindex, :) = (i.*points(minindex, :) + x(i, :))./(i + 1); end endfunction function [x, y] = rebalanceCluster(x, y, centres) classVal = tabul(y) classNumber = max(real(classVal(:, 2))) numClasses = length(classVal(:, 1)) mainMat = [x, y] features = length(x(1,:)) classFlags = [] maxCluster = 0 for i = 1:numClasses classData = mainMat(find(mainMat(:, features + 1) == classVal(i, 1)), :) flags = kmeansCluster(classData(:, 1:features), centres) for k = 1:centres clusterData = classData(find(flags == k)) thisClass = length(clusterData(:, 1)) for j = thisClass:classNumber - 1 mainMat = [mainMat; classData(1 + (thisClass-1)*rand(), :)] end end end x = mainMat(:,1:features) y = mainMat(:, features + 1) endfunction
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clc(); clear; //Given : Eg1= 0.72; //Energy gap for Germanium in eV Eg2= 1.10; //Energy gap for Silicon in eV Eg3= 5.6; //Energy gap for diamond in eV //Fraction of electron : n/N = exp(-Eg/(2*k*T)) , k*T = 0.026 eV F1 = exp(-Eg1/(2*0.026)); // For Germanium F2 = exp(-Eg2/(2*0.026)); // For Silicon F3 = exp(-Eg3/(2*0.026)); // For diamond printf("For Germanium , n/N = %.1f x 10^-7\n",F1*10^7); printf("For Silicon , n/N = %.1f x 10^-10\n",F2*10^10); printf("For diamond, n/N = %.1f x 10^-47",F3*10^47);
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//Ex 1.40.11 clc;clear;close; format('v',9); //Given : ni=1.5*10^10;//per cm^3 n_n=2.25*10^15;//per cm^3 disp(n_n,"Equillibrium electron density(per cm^3) : "); p_n=ni^2/n_n;//per cm^3 disp(p_n,"Equillibrium hole density(per cm^3) : ");
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clc; mw1=2*0.965*18; mw2=3*0.005*18; mw=mw1+mw2; R=8314.5 T=288; p=1.013*10^5; v=R*T/p mc=mw/v; hfg=2441.8; Qgt=38700; Qn=Qgt-mc*hfg; hs=3421; hf=419.1; Q=hs-hf; s_o=31.6; f_c=2.85; nB=Q*s_o/(f_c*Qn); disp(nB*100,"boiler efficiency is:"); g_o=25000; n=g_o/(f_c*Qn) disp(n*100,"overall thermal efficiency is:")
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funcprot(0); function [z]=qMoment(q,x,px) z=sum(px.*x.^q); endfunction d=[]; xd=[]; xc=[]; cc=[]; a=[]; c=[]; L = 6000; a = read("sh/z10/" +string(L) + "n1",-1,4); n=max(a(:,1)); c = zeros(n,1); c(a(:,1)+1) = a(:,3); endc=L; cc=c(1:endc); xc=(1:1:endc)'; nexp=800; exponents=linspace(log10(endc), log10(n), nexp); bounds=int(10**exponents); q=5; aq = qMoment(q, a(:,1), a(:,3)); scc=sum(cc); cq = qMoment(q, xc, cc); for i=1:nexp-1 d(i) = sum(c(bounds(i)+1:bounds(i+1))); end scd = scc + sum(d); for iter = 1:10000 for i=1:nexp-1 r = rand(); xd(i) = (bounds(i+1) + r*bounds(i))/(1+r); end dq = qMoment(q, xd, d); qerr(iter) = (cq+dq)/scd; end qq=mean(qerr); sqq=stdev(qerr); disp("L="+string(L)+", q="+string(q)+" bins="+string(nexp)+" err="+string(log(aq/qq))+" +/- "+string(sqq/qq*100)+" %.");
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//Chapter 6, Example 6.3, page 228 clc //Initialisation f=300*10**6 //frequency in Hz l1=4*10**3 //distance in m l2=6*10**3 //distance in m h1=20 //height in m c=3*10**8 //speed of light d1=4 //distance in km d2=6 //distance in km R=10 //radius in km m=0.13 n=1.99 //Calculation h=c*f**-1 //wavelength l=l1+l2 r1=sqrt(l1*l2*h/l) rat1=h1/r1 //ratio a=sqrt((2*(d1+d2))/(h*d1*d2)) v=0.0316*h1*a jv=6.9+20*log10(1.585) //knife-edge obstacle loss k=8.2+12*n Tmn=k*m A=jv+Tmn //rounded obstacle loss //Results printf("(1) Ratio = %f",rat1) printf("\n(2) Loss J(v) = %.1f dB",jv) printf("\n(3) Loss A = %.2f dB",A)
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// Calculating the log2. y = [1.2, 1, 1.9; 4, 2.6, 5; 2.3, 8, 7]; log2res = armaMat("log2",y)
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l=200*10^(-6); f=1.5*10^6; r=100; q=2*%pi*f*l/r; disp("the quality of the coil is"); disp(q);
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//Matrix a=[2,5,7,9;1,4,-9,2;7,8,4,-3] clc; clear; close; a=[2 5 7 9;1 4 -9 2;7 8 4 -3] a(2,:) = a(2,:) - (a(2,1)/a(1,1))*a(1,:) a(3,:) = a(3,:) - (a(3,1)/a(1,1))*a(1,:) disp(a) a(3,:) = a(3,:) - (a(3,2)/a(2,2))*a(2,:) disp(a) a(1,:) = a(1,:)/a(1,1) a(2,:) = a(2,:)/a(2,2) disp(a) for i=1:3 for j=i:4 if(a(i,j)<>0) disp('is a pivot column',j,'column') break end end end
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clc; // (b).Number of moles of each constituents nCH4=2; // Number of moles of CH4 E=3-nCH4; // Amount of reaction from (a) and refer example 15.1 (a) nH2O=1-E;// Number of moles of H2O nCO=1+E;// Number of moles of CO nH2=4+3*E;// Number of moles of H2 disp (nH2,"Number of moles of H2 = ",nCO,"Number of moles of CO = ",nH2O,"Number of moles of H2O = ","(b).Number of moles of each constituents");
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//******************************************* // Scilab script for visualisation of the // Coriolis force. // // Use the help facility for more information // on individual functions used. // // Author: J. Kaempf, 2015 (update) //******************************************** clf; scf(0); a=gcf(); a.figure_size= [800,600]; T = 24.*3600.; // period fre = 2*%pi/T; // rotation rate radius = 20; time = 0; dt = T/200; // time step xp = 0; // initial location yp = 5; up = 0.5; // speed in m/s vp = 0.5; // time loop starts here fact = 0.9; fac2 = fact*radius; xpp(1:200)= %nan; ypp(1:200)= %nan; for n = 1:200 // run for 1 period drawlater; clf; // isoview scaling plot2d(0,0,-1,"030"," ",[-20,-20,20,20]) time = time+dt; xx = radius*sin(-fre*time); yy = radius*cos(-fre*time); x1 = [fact*xx xx]; y1 = [fact*yy yy]; xset("color",5) xset("thickness",6) xpoly(x1,y1,"lines",1) xx = radius*cos(-fre*time); yy = -radius*sin(-fre*time); x2 = [fact*xx xx]; y2 = [fact*yy yy]; xset("color",0) xset("thickness",6) xpoly(x2,y2,"lines",1) xx = -radius*sin(-fre*time); yy = -radius*cos(-fre*time); x3 = [fact*xx xx]; y3 = [fact*yy yy]; xset("color",0) xset("thickness",6) xpoly(x3,y3,"lines",1) xx = -radius*cos(-fre*time); yy = radius*sin(-fre*time); x4 = [fact*xx xx]; y4 = [fact*yy yy]; xset("color",0) xset("thickness",6) xpoly(x4,y4,"lines",1) xset("color",2) xfarc(-fac2,fac2,2*fac2,2*fac2,0,360*64) x1 = [0 0]; y1 = [fact*fac2 fac2]; xset("color",5) xset("thickness",6) xpoly(x1,y1,"lines",1) x1 = [0 0]; y1 = [-fac2 -fact*fac2]; xset("color",0) xset("thickness",6) xpoly(x1,y1,"lines",1) y1 = [0 0]; x1 = [fact*fac2 fac2]; xset("color",0) xset("thickness",6) xpoly(x1,y1,"lines",1) y1 = [0 0]; x1 = [-fac2 -fact*fac2]; xset("color",0) xset("thickness",6) xpoly(x1,y1,"lines",1) //new ball position alpha = cos(dt*2*fre); bet = sin(dt*2*fre); upn= alpha*(up-dt*2*fre*vp)-bet*dt*2*fre*up; vpn= alpha*(vp+dt*2*fre*up)+bet*dt*2*fre*vp; xp = xp+dt*upn/1000; yp = yp+dt*vpn/1000; xpp(n) = xp; ypp(n) = yp; up = upn; vp = vpn; xset("color",1) xfarc(xp-1,yp+1,2.0,2,0,360*64) xset("color",7) xfarc(xp-0.8,yp+0.8,1.6,1.6,0,360*64) xset('thickness',4) plot2d(xpp,ypp,8,'000','',[-radius,-radius,radius,radius]) title("Rotating Frame of Reference","fontsize",3,"font_style",4); xpause(5d2); // creation of GIF files (optional) //if n < 10 then // xs2gif(0,'ex6b100'+string(n)+'.gif') //else // if n < 100 then // xs2gif(0,'ex6b10'+string(n)+'.gif') // else // xs2gif(0,'ex6b1'+string(n)+'.gif') // end // end drawnow; end;
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clc //Example 4.6 //calculate the mass consumed in a nuclear reactor per unit time //let D=d/dt DQ=-13*10^8;//J/s DW=7*10^8;//J/s //Dm=(DQ-DW)/c^2 where c is velocity of light sice E=mc^2 c=3*10^8;//m/s c1=3;//velocity of light without power pow=8//power of 10 in speed of light Dm=(DW-DQ)/c/c1//kg/s printf("the mass consumed in a nuclear reactor per unit time is %f * 10^(-%d) kg/s",Dm,pow);
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clc clear //input h=500; //hysteresis losses of the rotor of a d.c. machine in joule/cubic meter/cycle n=50; //number of cycles of magnetisation d=0.0075; //density of the material in mg/cubic meter H=10; //magnetising force in ampere/mater per mm when hysteresis loop is plotted on a graph B=0.02; //flux density in tesla per mm when hysteresis loop is plotted on a graph //calculations e=B*H; //energy represented by 1square mm in joules a=h/e; //area of loop in square mm p=h*n; //power loss in watts per cubic meter P=(p*(10^-6))/d; //power loss in watts per Kg //output mprintf('the area of hysteresis loop is %3.10f sq.mm \n the power loss is %3.10f W/Kg',a,P)
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MW=249.6;//molecular weight of CuSO4.5H2O in grams// w=0.3120;//weight of CuSO4.5H2O in grams// V=0.25;//volume of the solution in litres// printf('From Equation (a) 2 mol of CuSO4.5H2O liberates 1 mol of I2,i.e. 2 equivalents.\nHence the equlivalent weight of CuSO4.5H2O=mol.wt/1.'); printf('\nFrom equation (b) the equivalent weight of CuSO4.5H2O is mol.wt/2 since 1mol of CuSO4.5H2O reacts with 2 mol of OH-,i.e 2 equivalents.'); W=w/V;//weight of CuSO4.5H2O in one litre solution in grams// printf('\nWeight of CuSO4.5H2O in a litre of the solution=W=%fgrams.',W); Na=W/MW;//Normality of the solution for (a)// printf('\nNormality of the solution for (a)=Na=%f',Na); Nb=W*2/MW;//Normality of the solution for (b)// printf('\nNormality of the solution for (b)=Nb=%f',Nb); printf('\nIn the first case 1ml of the solution contains 5*10^-3equivalents or 5 equivalents of CuSO4.5H2O,\nand in the second case 1ml of the solution will contain 10m eq of CuSO4.5H2O.');
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class A public A(integer a) { } end class B inherit A public B() { } public void main() {} end
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Rfw = 0 Rrv = 0 fw1 = 0; rv1 = 0; fw2 = 0; rv2 = 0; for i = 1:10 fw1 = fw1 + fwData(i, 1) * fwData(i, 2); fw2 = fw2 + fwData(i, 2) * fwData(i, 2); rv1 = rv1 + rvData(i, 1) * rvData(i, 2); rv2 = rv2 + rvData(i, 2) * rvData(i, 2); end Rfw = fw1/fw2 Rrv = rv1/rv2 R = (Rfw + Rrv) * 0.5
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//example 7.7 clc clear //Ra = input('Enter the value of the resistance RA in Kohms :'); //C =input('Enter the value of the Capacitance C in micro farads :'); Ra=10//taking given values C=0.1 pw = 1.1*Ra*C //substituting in the equation printf('pulse width is %f milliseconds',pw);//displaying result
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// Exa 6.18 clc; clear; close; // Given data Q1 = 1000;// in kW Q2 = 492;// in kW T1 = 285;// in °C T1 = T1 + 273;// in K T2 = 5;// in °C T2 = T2 + 273;// in K Eta_carnot = (T1-T2)/T1*100;// in percentage disp(Eta_carnot,"Carnot efficiency in % is : ") Eta_heat = (Q1 - Q2)/Q1*100;// in percentage disp(Eta_heat,"Efficiency of the heat engine in % is : ") if Eta_heat>Eta_carnot then disp("As the efficiency of heat engine cannot be more than Carnot efficiency, Hence engine cannot execute irreversible cycle.So engine will execute Carnot Cycle which is a reversible cycle too") end
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clc; funcprot(0); //Example 15.1 Thrust and power coefficients // Initialisation of variables P = 500*550; // Power in ft-lb/sec V = 180*1.467; // Velocity in ft/sec n = 1900/60; // Rotaion per second D = 9; // Diameter in ft rho = 0.001756; // Calculations Cp = P/(rho*n^3*D^5); V_By_nD = V/(n*D); Ct = 0.074; // For corrosponding Cp and V/nD from figure 15.3.3 T = Ct*rho*n^2*D^4; Eff = Ct*V_By_nD/Cp; //Results disp(Eff*100,"Propeller Efficiency (%) : ",T,"Thrust (lb) :") ;
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Example8_4.sce
clear; clc; printf("\t Example 8.4\n"); T1=400; //hot oil temp.,K D=0.005; //diameter of line carrying oil, m T2=300; //temp. of air around the tube,K Tav=350; //average BI temp.,K //we evaluate properties at this temp. and write g as ge*(g-level), where ge is g at the earth surface and the g-level is the fraction of ge in the space vehicle. b=1/T2; // b=1/v*d(R*T/p)/dt=1/To characterisation constant of thermal expansion of solid, K^-1 v1=2.062*10^-5; // molecular diffusivity, m^2/s v2=2.92*10^-5; //molecular diffusivity, m^2/s Pr=0.706; //prandtl no. g=[10^-6 10^-5 10^-4 10^-2]; i=1; while(i<5) Ral=(9.8*b*((T1-T2))*(D^(3))/(v1*v2))*g(i); // Rayleigh no. Nu(i)=(0.6+0.387*(Ral/(1+(0.559/Pr)^(9/16))^(16/9))^(1/6))^2; //Nu(i)=(0.6+0.387*((Ral)/(1+(0.559/Pr)^(9/16))^(16/9))^1/6)^2; //churchill correlation. printf("\t Nusselt no. are : %.3f\n",Nu(i)); h(i)=Nu(i)*0.0297/D; // convective heat transfer coefficient,W/(m^2*K) printf("\t convective heat transfer coefficient are : %.2fW/(m^2*K)\n",h(i)); Q(i)=%pi*D*h(i)*(T1-T2); //heat transfer,W/m printf("\t heat transfer is :%.2fW/m of tube\n",Q(i)); i=i+1; end //end
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//Problem 3.02: //initializing the variables: Pi = 1.0; // in atm Pf = 3.0; // in atm qi = 3500; // in acfm //calculation: qf = qi*Pi/Pf printf("\n\nResult\n\n") printf("\n the final (f) volumetric flow rate of a gas is %.0f acfm\n",qf)
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Chapter3_Example27.sce
//Chapter-3, Example 3.27, Page 103 //============================================================================= clc clear //INPUT DATA D=0.025//Diameter of the rod in m Ti=22;//Temperature of air in the room in degree C x=0.1;//Distance between the points in m T=[110,85];//Temperature sat two points in degree C h=28.4;//Heat transfer coefficient in W/m^2.K //CALCULATIONS m=-log((T(2)-Ti)/(T(1)-Ti))/x;//Calculation of m for obtaining k P=(3.14*D);//Perimeter of the rod in m A=(3.14*D^2)/4;//Area of the rod in m^2 k=((h*P)/((m)^2*A));//Thermal conductivity of the rod material in W/m.K //OUTPUT mprintf('Thermal conductivity of the rod material is %3.1f W/m.K',k) //=================================END OF PROGRAM==============================
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// path=SCI+"/contrib/SOCKET/help/"; // txt = help_skeleton("SOCKET_pause",path) function SOCKET_pause(delay_s) my_delay=0; u=timer(); while(my_delay<delay_s) then, my_delay=my_delay+timer(); end; endfunction
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<?xml version="1.0" encoding="utf-8"?> <test> <description>NS, Couette flow, mixed bcs, FRDG advection and LFRDG diffusion, MODIFIED</description> <executable>CompressibleFlowSolver</executable> <parameters>Couette_FRDG_LFRDG_adiabatic.xml</parameters> <files> <file description="Session File">Couette_FRDG_LFRDG_adiabatic.xml</file> </files> <metrics> <metric type="L2" id="1"> <value variable="rho" tolerance="1e-8">0.0926743</value> <value variable="rhou" tolerance="1e-8">64.2553</value> <value variable="rhov" tolerance="1e-8">0.210065</value> <value variable="E" tolerance="1e-8">4937.29</value> </metric> <metric type="Linf" id="2"> <value variable="rho" tolerance="1e-8">0.0753016</value> <value variable="rhou" tolerance="1e-8">70.0111</value> <value variable="rhov" tolerance="2e-8">0.358313</value> <value variable="E" tolerance="1e-8">4483.59</value> </metric> </metrics> </test>