20 lines
1.2 KiB
TeX
20 lines
1.2 KiB
TeX
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\documentclass{article}
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\usepackage{array}
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\usepackage[margin=0.5in]{geometry}
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\begin{document}
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\title{Problems 1-1}
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\author{pezy}
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\maketitle
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\begin{tabular}{ c | c | c | c | c | c | c | c | }
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& 1 & 1 & 1 & 1 & 1 & 1 & 1 \\
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& second & minute & hour & day & month & year & century \\ \hline
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$\lg n$ & $2^{10^6}$ & $2^{6\cdot10^7}$ & $2^{36\cdot10^8}$ & $2^{864\cdot10^8}$ & $2^{2592\cdot10^9}$ & $2^{31536\cdot10^9}$ & $2^{31536\cdot10^{11}}$ \\ \hline
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$\sqrt{n}$ & $10^{12}$ & $3.6\cdot10^{15}$ & $1.296\cdot10^{19}$ & $7.46496\cdot10^{21}$ & $6.718464\cdot10^{24}$ & $9.945192960\cdot10^{26}$ & $9.945192960\cdot10^{30}$ \\ \hline
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$n$ & $10^6$ & $6\cdot10^7$ & $3.6\cdot10^9$ & $8.64\cdot10^{10}$ & $2.592\cdot10^{12}$ & $3.1536\cdot10^{13}$ & $3.1536\cdot10^{15}$ \\ \hline
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$n \lg n$ & $62746$ & $2801418$ & $133378059$ & $2755147513$ & $71870856404$ & $7.9763389\cdot10^{11}$ & $6.86109568\cdot10^{13}$ \\ \hline
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$n^2$ & $1000$ & $7745$ & $60000$ & $293938$ & $1609968$ & $5615692$ & $56156922$ \\ \hline
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$n^3$ & $100$ & $391$ & $1532$ & $4420$ & $13736$ & $31593$ & $146645$ \\ \hline
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$2^n$ & $19$ & $25$ & $31$ & $36$ & $41$ & $44$ & $51$ \\ \hline
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$n!$ & $9$ & $11$ & $12$ & $13$ & $15$ & $16$ & $17$ \\ \hline
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\end{tabular}
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\end{document}
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