\begin{array}{l}
{\text{Consider\ the\ equation~}{x^{0} + 0 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{1} + 1 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{2} + 2 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{3} + 3 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{4} + 4 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{5} + 5 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{6} + 6 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{7} + 7 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{8} + 8 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{9} + 9 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{10} + 10 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{11} + 11 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{12} + 12 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{13} + 13 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{14} + 14 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{15} + 15 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{16} + 16 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{17} + 17 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{18} + 18 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{19} + 19 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{20} + 20 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{21} + 21 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{22} + 22 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{23} + 23 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{24} + 24 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{25} + 25 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{26} + 26 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{27} + 27 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{28} + 28 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{29} + 29 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{30} + 30 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{31} + 31 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{32} + 32 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{33} + 33 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{34} + 34 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{35} + 35 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{36} + 36 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{37} + 37 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{38} + 38 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{39} + 39 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{40} + 40 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{41} + 41 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{42} + 42 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{43} + 43 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{44} + 44 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{45} + 45 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{46} + 46 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{47} + 47 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{48} + 48 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{49} + 49 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{50} + 50 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{51} + 51 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{52} + 52 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{53} + 53 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{54} + 54 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{55} + 55 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{56} + 56 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{57} + 57 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{58} + 58 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{59} + 59 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{60} + 60 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{61} + 61 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{62} + 62 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{63} + 63 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{64} + 64 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{65} + 65 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{66} + 66 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{67} + 67 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{68} + 68 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{69} + 69 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{70} + 70 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{71} + 71 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{72} + 72 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{73} + 73 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{74} + 74 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{75} + 75 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{76} + 76 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{77} + 77 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{78} + 78 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{79} + 79 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{80} + 80 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{81} + 81 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{82} + 82 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{83} + 83 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{84} + 84 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{85} + 85 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{86} + 86 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{87} + 87 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{88} + 88 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{89} + 89 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{90} + 90 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{91} + 91 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{92} + 92 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{93} + 93 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{94} + 94 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{95} + 95 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{96} + 96 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{97} + 97 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{98} + 98 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{99} + 99 = \delta}\text{.}} \\
\end{array}
