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