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tables.tex
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tables.tex
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\documentclass{article}[12pt]
\usepackage{amsmath}
\usepackage{amsthm}
\usepackage{booktabs}
\usepackage{epsfig}
\usepackage{graphicx}
\usepackage{lscape}
\usepackage{multirow}
\usepackage{natbib}
\usepackage{setspace}
\usepackage{epstopdf}
\def\STbar{{\overline{\mathrm{ST}}}}
\def\STtilde{{\widetilde{\mathrm{ST}}}}
\setlength{\topmargin}{0in}
\setlength{\headheight}{12pt}
\setlength{\headsep}{0.3in}
\setlength{\textheight}{8.7in}
\setlength{\oddsidemargin}{0in}
\setlength{\evensidemargin}{0in}
\setlength{\textwidth}{6.5in}
\title{Peptide Sequence Tags for Top-Down Spectra}
\author{}
%\date{}
\begin{document}
\maketitle
\doublespacing
\begin{abstract}
\end{abstract}
%TEXT
% MONO-TAGS
\begin{landscape}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
& \multicolumn{ 17 }{|c|}{mono-$\ell$-tags(\%)} \\
\cline{2- 18}
& 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17\\
\hline
1-aa & 81.74 & 73.42 & 68.02 & 62.91 & 58.55 & 62.96 & 46.41 & 34.88 & 42.69 & 62.27 & 45.05 & 39.66 & 33.95 & 25.53 & 17.16 & 25.7 & 1.27\\
2-aa & 76.65 & 65.81 & 55.58 & 48.18 & 35.24 & 28.54 & 24.79 & 17.78 & 21.98 & 27.92 & 15.44 & 9.77 & 10.5 & 9.6 & 14 & 18.17 & 17.78\\
3-aa & 74.21 & 60.43 & 50.16 & 40.26 & 30.63 & 23.06 & 19.62 & 12.62 & 15.85 & 14.19 & 12.75 & 6.95 & 7.7 & 6.86 & 7.22 & 6.83 & 7.3\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\vspace{3mm}
\end{table}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
& \multicolumn{ 16 }{|c|}{mono-$\ell$-tags(\%)} \\
\cline{2- 17}
& 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 & 31 & 32 & 33\\
\hline
1-aa & 1.12 & 0.99 & 0.88 & 0.81 & 0.78 & 0.78 & 0.78 & 0.78 & 0.78 & 0.78 & & & & & & \\
2-aa & 17.61 & 1.21 & 2.05 & 1.76 & 1.51 & 1.31 & 1.14 & 1 & 0.88 & 0.78 & & & & & & \\
3-aa & 6.98 & 7.85 & 1.05 & 0.89 & 1.02 & 0.87 & 0.76 & 0.66 & 0.57 & 0.76 & 0.67 & 0.6 & 1.07 & 0.96 & 0.86 & 0.78\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\caption{ Average percentage of mono-$\ell$-tags w.r.t. all $\ell$-tags.}
\label{table:l-mono}
\vspace{3mm}
\end{table}
\end{landscape}
\begin{figure}
\begin{center}
\includegraphics{l-mono}
\end{center}
\caption{Average percentage of mono-$\ell$-tags w.r.t. all $\ell$-tags}
\label{fig:l-mono}
\end{figure}
\begin{landscape}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
& \multicolumn{ 17 }{|c|}{correct mono-$\ell$-tags(\%)} \\
\cline{2- 18}
& 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17\\
\hline
1-aa & 84.64 & 82.59 & 82.01 & 79.47 & 78.54 & 74.31 & 59.19 & 70.29 & 55.94 & 66.92 & 52.78 & 52.29 & 55.72 & 71.43 & 60 & 84.21 & 66.67\\
2-aa & 76.08 & 69.85 & 66.97 & 61.63 & 51.99 & 43.97 & 43.98 & 38.51 & 33.59 & 39.44 & 56.77 & 64.72 & 67.74 & 60.65 & 46.87 & 51.86 & 55.09\\
3-aa & 71.05 & 61.45 & 54.84 & 50.24 & 46.39 & 39.82 & 44.71 & 36.17 & 31.37 & 34 & 37.23 & 27.67 & 28.1 & 37.63 & 30.24 & 16.08 & 16.45\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\vspace{3mm}
\end{table}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
& \multicolumn{ 16 }{|c|}{correct mono-$\ell$-tags(\%)} \\
\cline{2- 17}
& 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 & 31 & 32 & 33\\
\hline
1-aa & 64.71 & 62.5 & 60 & 53.33 & 46.67 & 40 & 38.46 & 40 & 33.33 & 0 & & & & & & \\
2-aa & 56.22 & 14.72 & 16.46 & 17.19 & 16.58 & 14.63 & 11.55 & 7.77 & 3.77 & 0 & & & & & & \\
3-aa & 21.75 & 31.61 & 54.93 & 11.66 & 13.35 & 14.73 & 15.64 & 15.98 & 15.69 & 14.77 & 13.27 & 11.27 & 8.86 & 6.14 & 3.17 & 0\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\caption{ Average percentage of correct mono-$\ell$-tags w.r.t. all mono-$\ell$-tags.}
\label{table:l-mono-correct}
\vspace{3mm}
\end{table}
\end{landscape}
\begin{figure}
\begin{center}
\includegraphics{l-mono-correct}
\end{center}
\caption{Average percentage of correct mono-$\ell$-tags w.r.t. all mono-$\ell$-tags}
\label{fig:l-mono-correct}
\end{figure}
% SPECTRUM GRAPHS
\begin{landscape}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|c|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{ } & \multicolumn{ 19 }{|c|}{ correct $\ell$-tags (\%)} \\
\cline{3- 21}
\multicolumn{2}{|c|}{ } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19\\
\hline
\multirow{3}{*}{exp}
& 1-aa & 20.12 & 21.58 & 23.52 & 24.89 & 27.9 & 23.77 & 26.93 & 23.93 & 22.95 & 19.1 & 26.7 & 20.96 & 15.28 & 25 & 0 & 0 & 0 & & \\
& 2-aa & 12.95 & 12.13 & 12.69 & 13.01 & 8.67 & 7.22 & 9.86 & 8.86 & 7.77 & 8.78 & 8.88 & 7.64 & 0.88 & 0.52 & 0.06 & 0.1 & 0.21 & 0.35 & 1.2\\
& 3-aa & 8.95 & 6.75 & 5.32 & 4.82 & 3.48 & 3.07 & 3.53 & 2.72 & 2.08 & 2.25 & 1.94 & 1.08 & 0.04 & 0.02 & 0.01 & 0.01 & 0.02 & 0.03 & 0.04\\
\hline
\multirow{3}{*}{virt}
& 1-aa & 84.41 & 79.78 & 79.14 & 75.71 & 77.54 & 74.05 & 65.96 & 68.23 & 73.66 & 70.43 & 57.27 & 56.99 & 56.52 & 57.08 & 75.87 & 87.98 & 72.88 & 67.37 & 62.38\\
& 2-aa & 73.2 & 64.96 & 59.74 & 52.61 & 44.85 & 40 & 33.42 & 29.97 & 23.3 & 22.85 & 27.55 & 20.68 & 23.37 & 23.8 & 41.56 & 62.7 & 68.44 & 72.25 & 59.37\\
& 3-aa & 66.59 & 54.6 & 49.11 & 41.9 & 38.14 & 29.67 & 26.39 & 24.7 & 20.2 & 21.6 & 21.51 & 9.84 & 11.58 & 13.98 & 15.57 & 15.58 & 17.43 & 17.28 & 19.51\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\vspace{3mm}
\end{table}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|c|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{ } & \multicolumn{ 19 }{|c|}{ correct $\ell$-tags (\%)} \\
\cline{3- 21}
\multicolumn{2}{|c|}{ } & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36 & 37 & 38\\
\hline
\multirow{3}{*}{exp}
& 1-aa & & & & & & & & & & & & & & & & & & & \\
& 2-aa & 1.97 & 6.19 & 9.18 & 12.82 & 16.89 & 21.05 & 25 & & & & & & & & & & & & \\
& 3-aa & 0.08 & 0.17 & 0.33 & 0.51 & 0.94 & 1.78 & 2.44 & 3.23 & 4.12 & 7.67 & 9.24 & 10.87 & 12.5 & 0 & 0 & 0 & 0 & 0 & 0\\
\hline
\multirow{3}{*}{virt}
& 1-aa & 58.49 & 51.72 & 46.67 & 40 & 38.46 & 40 & 33.33 & 0 & & & & & & & & & & & \\
& 2-aa & 20.1 & 20.35 & 19.22 & 16.72 & 13.09 & 8.77 & 4.26 & 0 & & & & & & & & & & & \\
& 3-aa & 10.4 & 11.97 & 18.39 & 21.12 & 24.11 & 27.32 & 30.67 & 8.01 & 7.21 & 6.14 & 9.71 & 6.76 & 3.51 & 0 & & & & & \\
\hline
\end{tabular}
\end{center}
\par}
\centering
\caption{ Average percentage of correct $\ell$-tags (basic spectrum graphs).}
\label{table:correct-l-tags}
\vspace{3mm}
\end{table}
\end{landscape}
\begin{figure}
\begin{center}
\includegraphics{correct-l-tags}
\end{center}
\caption{Average percentage of correct $\ell$-tags (basic spectrum graphs)}
\label{fig:correct-l-tags}
\end{figure}
\begin{landscape}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|c|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{ } & \multicolumn{ 19 }{|c|}{ proper $\ell$-tags (\%)} \\
\cline{3- 21}
\multicolumn{2}{|c|}{ } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19\\
\hline
\multirow{3}{*}{exp}
& 1-aa & 97.19 & 54.2 & 34.94 & 30.21 & 29.92 & 27.12 & 27.73 & 24.78 & 23.69 & 19.61 & 26.7 & 20.96 & 15.28 & 25 & 0 & 0 & 0 & & \\
& 2-aa & 70.97 & 27.34 & 17.43 & 15.07 & 10.44 & 7.43 & 9.93 & 8.91 & 7.81 & 8.8 & 8.9 & 7.65 & 0.89 & 0.52 & 0.06 & 0.1 & 0.21 & 0.35 & 1.2\\
& 3-aa & 50.4 & 15.32 & 7.37 & 5.33 & 3.85 & 3.1 & 3.54 & 2.73 & 2.08 & 2.25 & 1.94 & 1.08 & 0.04 & 0.02 & 0.01 & 0.01 & 0.02 & 0.03 & 0.04\\
\hline
\multirow{3}{*}{virt}
& 1-aa & 98.73 & 87.83 & 83.21 & 81.18 & 79.24 & 79.05 & 65.96 & 68.23 & 73.66 & 70.43 & 57.27 & 56.99 & 56.52 & 57.08 & 75.87 & 87.98 & 72.88 & 67.37 & 62.38\\
& 2-aa & 88.98 & 69.71 & 63.31 & 55.82 & 47.68 & 41.51 & 36.06 & 33.83 & 25.4 & 27.14 & 35.24 & 20.68 & 23.37 & 23.8 & 41.56 & 62.7 & 68.44 & 72.25 & 59.37\\
& 3-aa & 80.05 & 58.99 & 52.28 & 46.02 & 41.23 & 32.26 & 29.97 & 30.22 & 25.42 & 24.27 & 22.17 & 10.35 & 11.58 & 13.98 & 15.57 & 15.58 & 17.43 & 17.28 & 19.51\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\vspace{3mm}
\end{table}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|c|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{ } & \multicolumn{ 19 }{|c|}{ proper $\ell$-tags (\%)} \\
\cline{3- 21}
\multicolumn{2}{|c|}{ } & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36 & 37 & 38\\
\hline
\multirow{3}{*}{exp}
& 1-aa & & & & & & & & & & & & & & & & & & & \\
& 2-aa & 1.97 & 6.19 & 9.18 & 12.82 & 16.89 & 21.05 & 25 & & & & & & & & & & & & \\
& 3-aa & 0.08 & 0.17 & 0.33 & 0.51 & 0.94 & 1.78 & 2.44 & 3.23 & 4.12 & 7.67 & 9.24 & 10.87 & 12.5 & 0 & 0 & 0 & 0 & 0 & 0\\
\hline
\multirow{3}{*}{virt}
& 1-aa & 58.49 & 51.72 & 46.67 & 40 & 38.46 & 40 & 33.33 & 0 & & & & & & & & & & & \\
& 2-aa & 20.1 & 20.35 & 19.22 & 16.72 & 13.09 & 8.77 & 4.26 & 0 & & & & & & & & & & & \\
& 3-aa & 10.4 & 11.97 & 18.39 & 21.12 & 24.11 & 27.32 & 30.67 & 8.01 & 7.21 & 6.14 & 9.71 & 6.76 & 3.51 & 0 & & & & & \\
\hline
\end{tabular}
\end{center}
\par}
\centering
\caption{ Average percentage of proper $\ell$-tags (basic spectrum graphs).}
\label{table:proper-l-tags}
\vspace{3mm}
\end{table}
\end{landscape}
\begin{figure}
\begin{center}
\includegraphics{proper-l-tags}
\end{center}
\caption{Average percentage of proper $\ell$-tags (basic spectrum graphs)}
\label{fig:proper-l-tags}
\end{figure}
\begin{landscape}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|c|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{ } & \multicolumn{ 16 }{|c|}{ correct $\ell$-tags (\%)} \\
\cline{3- 18}
\multicolumn{2}{|c|}{ } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16\\
\hline
\multirow{3}{*}{exp}
& 1-aa & 20.67 & 40.8 & 66.16 & 78.24 & 85.06 & 85.71 & 91.67 & 90 & 85.71 & 83.33 & 100 & 100 & 100 & 100 & & \\
& 2-aa & 17.96 & 44.98 & 68.73 & 77.26 & 76.23 & 83.62 & 86.36 & 88.24 & 84.62 & 83.33 & 90 & 83.33 & 75 & 66.67 & 100 & 100\\
& 3-aa & 17.22 & 45.2 & 68.55 & 75.83 & 75.64 & 84.44 & 87.96 & 85 & 86.67 & 84.62 & 90.91 & 90 & 83.33 & 80 & 100 & 100\\
\hline
\multirow{3}{*}{virt}
& 1-aa & 85.39 & 89.77 & 94.28 & 94 & 97.39 & 95 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100\\
& 2-aa & 82.11 & 91.65 & 92.83 & 94.35 & 93.44 & 92.84 & 92.92 & 89.47 & 91.67 & 90 & 88.89 & 100 & 100 & 100 & 100 & 100\\
& 3-aa & 82.69 & 91.46 & 91.54 & 91.54 & 91.67 & 92.71 & 89.39 & 84.63 & 81.34 & 86.45 & 85.31 & 88.89 & 100 & 100 & 100 & 100\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\vspace{3mm}
\end{table}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|c|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{ } & \multicolumn{ 16 }{|c|}{ correct $\ell$-tags (\%)} \\
\cline{3- 18}
\multicolumn{2}{|c|}{ } & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 & 31 & 32\\
\hline
\multirow{3}{*}{exp}
& 1-aa & & & & & & & & & & & & & & & & \\
& 2-aa & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & & & & & & \\
& 3-aa & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100\\
\hline
\multirow{3}{*}{virt}
& 1-aa & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & & & & & & \\
& 2-aa & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & & & & & & \\
& 3-aa & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100 & 100\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\caption{ Average percentage of correct $\ell$-tags w.r.t. proper $\ell$-tags (basic spectrum graphs).}
\label{table:correct-vs-proper-l-tags}
\vspace{3mm}
\end{table}
\end{landscape}
\begin{figure}
\begin{center}
\includegraphics{correct-vs-proper-l-tags}
\end{center}
\caption{Average percentage of correct $\ell$-tags w.r.t. proper $\ell$-tags (basic spectrum graphs)}
\label{fig:correct-vs-proper-l-tags}
\end{figure}
\begin{landscape}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
& \multicolumn{ 16 }{|c|}{mono-$\ell$-tags(\%)} \\
\cline{2- 17}
& 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16\\
\hline
1-aa & 82.08 & 76.73 & 70.28 & 65.57 & 59.75 & 60.91 & 36.32 & 39.28 & 41.87 & 61.21 & 45.67 & 42.28 & 39.4 & 33.81 & 17.12 & 25.63\\
2-aa & 79.46 & 71.19 & 61.86 & 52.75 & 42.41 & 34.82 & 35.17 & 26.82 & 29.61 & 28.77 & 18.44 & 19.64 & 19.91 & 22 & 20.83 & 19.64\\
3-aa & 79.1 & 67.82 & 58.29 & 49.61 & 37.96 & 32.57 & 29.77 & 26.4 & 23.62 & 26.15 & 25.73 & 22.25 & 21.56 & 21 & 27.35 & 12.11\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\vspace{3mm}
\end{table}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
& \multicolumn{ 16 }{|c|}{mono-$\ell$-tags(\%)} \\
\cline{2- 17}
& 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 & 31 & 32\\
\hline
1-aa & 1.16 & 1.07 & 0.99 & 0.91 & 0.83 & 0.78 & 0.78 & 0.78 & 0.78 & 0.78 & & & & & & \\
2-aa & 18.48 & 17.37 & 0.95 & 1.68 & 1.48 & 1.3 & 1.14 & 1.01 & 0.89 & 0.78 & & & & & & \\
3-aa & 14.32 & 13.55 & 1.28 & 1.72 & 1.52 & 1.34 & 1.18 & 1.03 & 0.9 & 0.79 & 1.4 & 1.23 & 1.09 & 0.97 & 0.87 & 0.78\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\caption{ Average percentage of correct mono-$\ell$-tags w.r.t. correct $\ell$-tags.}
\label{table:l-mono-correct-rel}
\vspace{3mm}
\end{table}
\end{landscape}
\begin{figure}
\begin{center}
\includegraphics{l-mono-correct-rel}
\end{center}
\caption{Average percentage of correct mono-$\ell$-tags w.r.t. correct $\ell$-tags}
\label{fig:l-mono-correct-rel}
\end{figure}
\begin{landscape}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|c|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{ } & \multicolumn{ 17 }{|c|}{ spectra (\%)} \\
\cline{3- 19}
\multicolumn{2}{|c|}{ } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16\\
\hline
\multirow{3}{*}{exp}
& 1-aa & 14.66 & 19.83 & 16.38 & 18.1 & 9.48 & 6.03 & 6.03 & 1.72 & 2.59 & 0.86 & 0 & 1.72 & 0.86 & 0 & 1.72 & & \\
& 2-aa & 9.48 & 13.79 & 11.21 & 17.24 & 18.1 & 8.62 & 5.17 & 3.45 & 3.45 & 0.86 & 0.86 & 3.45 & 1.72 & 0.86 & 0.86 & 0 & 0\\
& 3-aa & 6.9 & 16.38 & 7.76 & 15.52 & 17.24 & 12.07 & 5.17 & 4.31 & 3.45 & 1.72 & 0.86 & 0.86 & 3.45 & 0.86 & 2.59 & 0 & 0\\
\hline
\multirow{3}{*}{virt}
& 1-aa & 6.03 & 18.97 & 18.1 & 18.1 & 12.07 & 10.34 & 6.9 & 2.59 & 1.72 & 1.72 & 0.86 & 0 & 0 & 0 & 0 & 0.86 & 0.86\\
& 2-aa & 3.45 & 12.07 & 10.34 & 16.38 & 14.66 & 12.07 & 8.62 & 7.76 & 5.17 & 1.72 & 0.86 & 1.72 & 0 & 2.59 & 0 & 0 & 0\\
& 3-aa & 2.59 & 11.21 & 7.76 & 14.66 & 12.07 & 13.79 & 6.03 & 6.9 & 8.62 & 2.59 & 3.45 & 3.45 & 0 & 0 & 1.72 & 0.86 & 0.86\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\vspace{3mm}
\end{table}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|c|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{ } & \multicolumn{ 16 }{|c|}{ spectra (\%)} \\
\cline{3- 18}
\multicolumn{2}{|c|}{ } & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 & 31 & 32\\
\hline
\multirow{3}{*}{exp}
& 1-aa & & & & & & & & & & & & & & & & \\
& 2-aa & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0.86 & & & & & & \\
& 3-aa & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0.86\\
\hline
\multirow{3}{*}{virt}
& 1-aa & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0.86 & & & & & & \\
& 2-aa & 0 & 0.86 & 0.86 & 0 & 0 & 0 & 0 & 0 & 0 & 0.86 & & & & & & \\
& 3-aa & 0 & 0.86 & 0.86 & 0 & 0 & 0 & 0 & 0 & 0 & 0.86 & 0 & 0 & 0 & 0 & 0 & 0.86\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\caption{ Percentage of spectra, the longest correct tag in which has a given length.}
\label{table:longest-correct-l}
\vspace{3mm}
\end{table}
\end{landscape}
\begin{figure}
\begin{center}
\includegraphics{longest-correct-l}
\end{center}
\caption{Percentage of spectra, the longest correct tag in which has a given length}
\label{fig:longest-correct-l}
\end{figure}
% k <=2 - 200 16.79%
% k <=3 - 371 31.15%
\begin{landscape}
\begin{table}[h]\footnotesize
%\vspace{3mm}
{\centering
\begin{tabular}{|c|c|
c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
$k-d$/$d$
& 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25\\
\hline
\hline
0 & 10 & 63 & 120 & 126 & 115 & 105 & 76 & 56 & 32 & 24 & 13 & 9 & 6 & 1 & 6 & 4 & 2 & 5 & & & & & & & & 1\\
1 & 1 & 6 & 38 & 39 & 27 & 24 & 17 & 14 & 9 & 5 & 5 & 6 & & 2 & 2 & 1 & & & 1 & 2 & & & & & & \\
2 & & 7 & 24 & 37 & 13 & 11 & 12 & 1 & 3 & & 3 & 1 & & 1 & & 1 & & & & & & & & & & \\
3 & & & 12 & 13 & 14 & 2 & 2 & 2 & 1 & 3 & 1 & & 1 & & & 2 & & & & 1 & & & & & & \\
4 & & & 6 & 8 & 2 & 3 & 4 & 1 & & & & & & 1 & & & & & & & & & & & & \\
5 & & & 1 & 3 & 2 & 1 & 1 & & & & & & & & & & & & & & & & & & & \\
6 & & & 1 & & 3 & 1 & & 1 & & & & 1 & & & & & & & & & & & & & & \\
7 & & & & & & & 1 & 1 & & & 1 & & & & & & & & & & & & & & & \\
8 & & & & & & 1 & & & & 1 & & 1 & & & & & & & & & & & & & & \\
9 & & & & & & & 2 & & & & & & & & & & & & & & & & & & & \\
10 & & & & & & & & & & & & & & & & & & & & & & & & & & \\
11 & & & & 1 & & & & & & & & & & & & & & & & & & & & & & \\
12 & & & & & & & & & & & & & & & & & & & & & & & & & & \\
13 & & & & & & & & & & 1 & & & & & & & & & & & & & & & & \\
\hline
\end{tabular}
\par}
\centering
\caption{The number of $(k-d,d)$-proper spectra in the $ST$ data set for the case of 1-aa tags.}
\vspace{3mm}
\label{table:kd-1-proper-ST}
\end{table}
\end{landscape}
% k <=2 - 40 34.48%
% k <=3 - 66 56.9%
\begin{landscape}
\begin{table}[h]\footnotesize
%\vspace{3mm}
{\centering
\begin{tabular}{|c|c|
c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
$k-d$/$d$
& 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14\\
\hline
\hline
0 & 7 & 14 & 17 & 17 & 12 & 6 & 8 & 2 & 2 & 1 & & 2 & 1 & & 2\\
1 & & 2 & 8 & 3 & & 2 & & & & & & & & & \\
2 & & 1 & 2 & 1 & 2 & & 1 & & 1 & & & & & & \\
3 & & & & & 1 & & & & & & & & & & \\
4 & & & & & & & & & & & & & & & \\
5 & & & & & & & & & & & & & & & \\
6 & & & & & & & & & & & & & & & \\
7 & & & & & & & & & & & 1 & & & & \\
\hline
\end{tabular}
\par}
\centering
\caption{The number of $(k-d,d)$-proper spectra in the $\STbar$ data set for the case of 1-aa tags.}
\vspace{3mm}
\label{table:kd-1-proper-ST-bar}
\end{table}
\end{landscape}
\begin{landscape}
\begin{table}[h]\footnotesize
%\vspace{3mm}
{\centering
\begin{tabular}{|c|c|
c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
$k-d$/$d$
& 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 25\\
\hline
\hline
0 & 10 & 63 & 120 & 126 & 115 & 105 & 76 & 56 & 32 & 24 & 13 & 9 & 6 & 1 & 6 & 4 & 2 & 5 & & & 1\\
1 & 1 & 6 & 38 & 39 & 27 & 24 & 17 & 14 & 9 & 5 & 5 & 6 & & 2 & 2 & 1 & & & 1 & 2 & \\
2 & & 7 & 24 & 37 & 13 & 11 & 12 & 1 & 3 & & 3 & 1 & & 1 & & 1 & & & & & \\
3 & & & 12 & 13 & 14 & 2 & 2 & 2 & 1 & 3 & 1 & & 1 & & & 2 & & & & 1 & \\
4 & & & 6 & 8 & 2 & 3 & 4 & 1 & & & & & & 1 & & & & & & & \\
5 & & & 1 & 3 & 2 & 1 & 1 & & & & & & & & & & & & & & \\
$\ge6 $ & & & 1 & 1 & 3 & 2 & 3 & 2 & & 2 & 1 & 2 & & & & & & & & & \\
\hline
\% & 0.9 & 6.4 & 17 & 19.1 & 14.8 & 12.4 & 9.7 & 6.4 & 3.8 & 2.9 & 1.9 & 1.5 & 0.6 & 0.4 & 0.7 & 0.7 & 0.2 & 0.4 & 0.1 & 0.3 & 0.1\\
\hline
\end{tabular}
\par}
\centering
\caption{The number of $(k-d,d)$-proper spectra in the $ST$ data set for the case of 1-aa tags.}
\vspace{3mm}
\label{table:kd-1-proper-ST2}
\end{table}
\end{landscape}
% number = 774
% total = 1191.0
% number/total = 0.6498740554156172
\begin{landscape}
\begin{table}[h]\footnotesize
%\vspace{3mm}
{\centering
\begin{tabular}{|c|c|
c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
$k-d$/$d$
& 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14\\
\hline
\hline
0 & 7 & 14 & 17 & 17 & 12 & 6 & 8 & 2 & 2 & 1 & & 2 & 1 & & 2\\
1 & & 2 & 8 & 3 & & 2 & & & & & & & & & \\
2 & & 1 & 2 & 1 & 2 & & 1 & & 1 & & & & & & \\
3 & & & & & 1 & & & & & & & & & & \\
4 & & & & & & & & & & & & & & & \\
5 & & & & & & & & & & & & & & & \\
$\ge6 $ & & & & & & & & & & & 1 & & & & \\
\hline
\% & 6 & 14.7 & 23.3 & 18.1 & 12.9 & 6.9 & 7.8 & 1.7 & 2.6 & 0.9 & 0.9 & 1.7 & 0.9 & 0 & 1.7\\
\hline
\end{tabular}
\par}
\centering
\caption{The number of $(k-d,d)$-proper spectra in the $\STbar$ data set for the case of 1-aa tags.}
\vspace{3mm}
\label{table:kd-1-proper-ST-bar2}
\end{table}
\end{landscape}
% number = 91
% total = 116.0
% number/total = 0.7844827586206896
% k <=2 - 200 16.79%
% k <=3 - 371 31.15%
\begin{landscape}
\begin{table}[h]\footnotesize
%\vspace{3mm}
{\centering
\begin{tabular}{|c|c|
c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
$k-d$/$d$
& 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25\\
\hline
\hline
0 & 10 & 42 & 79 & 93 & 88 & 85 & 65 & 50 & 29 & 23 & 13 & 9 & 6 & 1 & 6 & 4 & 2 & 5 & & & & & & & & 1\\
1 & 22 & 15 & 17 & 18 & 17 & 17 & 16 & 13 & 9 & 5 & 5 & 6 & & 2 & 2 & 1 & & & 1 & 2 & & & & & & \\
2 & 32 & 17 & 23 & 20 & 12 & 10 & 7 & 2 & 3 & & 3 & 1 & & 1 & & 1 & & & & & & & & & & \\
3 & 44 & 6 & 9 & 6 & 9 & 2 & 2 & 1 & 1 & 2 & & & 1 & & & 1 & & & & 1 & & & & & & \\
4 & 43 & 16 & 7 & 3 & 2 & 2 & 3 & 1 & & & & & & 1 & 1 & & & & & & & & & & & \\
5 & 34 & 4 & 6 & 3 & & 1 & & 1 & & & & & & & & & & & & & & & & & & \\
6 & 21 & 1 & 1 & 1 & 3 & & & 2 & & & & & & & & & & & & & & & & & & \\
7 & 12 & 2 & & & & & 1 & 1 & & & & & & & & & & & & & & & & & & \\
8 & 7 & & & & & 1 & & & & 1 & & 1 & & & & & & & & & & & & & & \\
9 & 2 & & 1 & & & & 2 & & & & & & & & & & & & & & & & & & & \\
10 & 2 & & & & & & & & & & & & & & & & & & & & & & & & & \\
11 & 1 & & & 1 & & & 1 & & & & & & & & & & & & & & & & & & & \\
12 & & & & & & & & & & & & & & & & & & & & & & & & & & \\
13 & & & & & & & & & & & & & & & & & & & & & & & & & & \\
14 & & & & & & & & & & & & & & & & & & & & & & & & & & \\
15 & & & & & & & & & & & & & & & & & & & & & & & & & & \\
16 & & 1 & & & & & 1 & & & & & & & & & & & & & & & & & & & \\
\hline
\end{tabular}
\par}
\centering
\caption{The number of $(k-d,d)$-correct spectra in the $ST$ data set for the case of 1-aa tags.}
\vspace{3mm}
\label{table:kd-1-correct-ST}
\end{table}
\end{landscape}
% k <=2 - 40 34.48%
% k <=3 - 66 56.9%
\begin{landscape}
\begin{table}[h]\footnotesize
%\vspace{3mm}
{\centering
\begin{tabular}{|c|c|
c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
$k-d$/$d$
& 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14\\
\hline
\hline
0 & 7 & 10 & 11 & 14 & 9 & 6 & 6 & 2 & 2 & 1 & & 2 & 1 & & 2\\
1 & 4 & 4 & 4 & 3 & & 1 & & & & & & & & & \\
2 & 4 & 2 & 1 & & 1 & & 1 & & 1 & & & & & & \\
3 & 6 & 1 & & & 1 & & & & & & & & & & \\
4 & 3 & & & & & & & & & & & & & & \\
5 & 1 & & & & & & & & & & & & & & \\
6 & 4 & & & & & & & & & & & & & & \\
7 & & & & & & & & & & & & & & & \\
8 & & & & & & & & & & & & & & & \\
9 & & & & & & & & & & & & & & & \\
10 & & & & & & & & & & & & & & & \\
11 & & & & & & & & & & & & & & & \\
12 & & & & & & & & & & & & & & & \\
13 & & & & & & & & & & & & & & & \\
14 & & & & & & & & & & & & & & & \\
15 & & & & & & & & & & & & & & & \\
16 & & 1 & & & & & & & & & & & & & \\
\hline
\end{tabular}
\par}
\centering
\caption{The number of $(k-d,d)$-correct spectra in the $\STbar$ data set for the case of 1-aa tags.}
\vspace{3mm}
\label{table:kd-1-correct-ST-bar}
\end{table}
\end{landscape}
\begin{landscape}
\begin{table}[h]\footnotesize
%\vspace{3mm}
{\centering
\begin{tabular}{|c|c|
c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
$k-d$/$d$
& 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 25\\
\hline
\hline
0 & 10 & 42 & 79 & 93 & 88 & 85 & 65 & 50 & 29 & 23 & 13 & 9 & 6 & 1 & 6 & 4 & 2 & 5 & & & 1\\
1 & 22 & 15 & 17 & 18 & 17 & 17 & 16 & 13 & 9 & 5 & 5 & 6 & & 2 & 2 & 1 & & & 1 & 2 & \\
2 & 32 & 17 & 23 & 20 & 12 & 10 & 7 & 2 & 3 & & 3 & 1 & & 1 & & 1 & & & & & \\
3 & 44 & 6 & 9 & 6 & 9 & 2 & 2 & 1 & 1 & 2 & & & 1 & & & 1 & & & & 1 & \\
4 & 43 & 16 & 7 & 3 & 2 & 2 & 3 & 1 & & & & & & 1 & 1 & & & & & & \\
5 & 34 & 4 & 6 & 3 & & 1 & & 1 & & & & & & & & & & & & & \\
$\ge6 $ & 45 & 4 & 2 & 2 & 3 & 1 & 5 & 3 & & 1 & & 1 & & & & & & & & & \\
\hline
\% & 19.3 & 8.7 & 12 & 12.2 & 11 & 9.9 & 8.2 & 6 & 3.5 & 2.6 & 1.8 & 1.4 & 0.6 & 0.4 & 0.8 & 0.6 & 0.2 & 0.4 & 0.1 & 0.3 & 0.1\\
\hline
\end{tabular}
\par}
\centering
\caption{The number of $(k-d,d)$-correct spectra in the $ST$ data set for the case of 1-aa tags.}
\vspace{3mm}
\label{table:kd-1-correct-ST2}
\end{table}
\end{landscape}
% number = 611
% total = 1191.0
% number/total = 0.5130142737195634
\begin{landscape}
\begin{table}[h]\footnotesize
%\vspace{3mm}
{\centering
\begin{tabular}{|c|c|
c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
$k-d$/$d$
& 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14\\
\hline
\hline
0 & 7 & 10 & 11 & 14 & 9 & 6 & 6 & 2 & 2 & 1 & & 2 & 1 & & 2\\
1 & 4 & 4 & 4 & 3 & & 1 & & & & & & & & & \\
2 & 4 & 2 & 1 & & 1 & & 1 & & 1 & & & & & & \\
3 & 6 & 1 & & & 1 & & & & & & & & & & \\
4 & 3 & & & & & & & & & & & & & & \\
5 & 1 & & & & & & & & & & & & & & \\
$\ge6 $ & 4 & 1 & & & & & & & & & & & & & \\
\hline
\% & 25 & 15.5 & 13.8 & 14.7 & 9.5 & 6 & 6 & 1.7 & 2.6 & 0.9 & 0 & 1.7 & 0.9 & 0 & 1.7\\
\hline
\end{tabular}
\par}
\centering
\caption{The number of $(k-d,d)$-correct spectra in the $\STbar$ data set for the case of 1-aa tags.}
\vspace{3mm}
\label{table:kd-1-correct-ST-bar2}
\end{table}
\end{landscape}
% number = 73
% total = 116.0
% number/total = 0.6293103448275862
\begin{landscape}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
& \multicolumn{ 18 }{|c|}{correct $\ell$-tags(\%)} \\
\cline{2- 19}
& 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18\\
\hline
1-aa & 7.43 & 6.55 & 5.92 & 4.99 & 3.61 & 3.01 & 2.61 & 1.69 & 1.84 & 0.43 & 0.39 & 0.73 & 0.09 & 0.17 & 0.03 & 0.02 & 0.01 & 0.02\\
2-aa & 4.08 & 3.05 & 2.45 & 1.19 & 0.75 & 0.41 & 0.56 & 0.75 & 0.2 & 0.14 & 0.22 & 0.05 & 0 & 0 & 0.01 & 0.01 & 0 & 0\\
3-aa & 2.55 & 1.36 & 0.88 & 0.44 & 0.27 & 0.35 & 0.29 & 0.44 & 0.01 & 0.02 & 0.04 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\vspace{3mm}
\end{table}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
& \multicolumn{ 18 }{|c|}{correct $\ell$-tags(\%)} \\
\cline{2- 19}
& 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36\\
\hline
1-aa & 0.01 & 0.01 & 0.01 & 0.01 & 0.01 & 0.01 & 0.01 & 0.01 & 0.01 & & & & & & & & & \\
2-aa & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & & & & & & & & \\
3-aa & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\vspace{3mm}
\end{table}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
& \multicolumn{ 11 }{|c|}{correct $\ell$-tags(\%)} \\
\cline{2- 12}
& 37 & 38 & 39 & 40 & 41 & 42 & 43 & 44 & 45 & 46 & 47\\
\hline
1-aa & & & & & & & & & & & \\
2-aa & & & & & & & & & & & \\
3-aa & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\caption{ Average percentage of correct $\ell$-tags (error-correcting spectrum graphs).}
\label{table:correct-l-tags-err}
\vspace{3mm}
\end{table}
\end{landscape}
\begin{figure}
\begin{center}
\includegraphics{correct-l-tags-err}
\end{center}
\caption{Average percentage of correct $\ell$-tags (error-correcting spectrum graphs)}
\label{fig:correct-l-tags-err}
\end{figure}
\begin{landscape}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
& \multicolumn{ 18 }{|c|}{correct $\ell$-tags(\%)} \\
\cline{2- 19}
& 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18\\
\hline
1-aa & 18.48 & 19.5 & 19.97 & 19.28 & 18.59 & 15.29 & 16.89 & 16.19 & 11.8 & 16 & 13.55 & 6.61 & 7.21 & 13.63 & 1.04 & 0 & 0 & 0\\
2-aa & 11.74 & 9.93 & 9.19 & 9.09 & 5.84 & 4.38 & 4.7 & 4.58 & 1.32 & 1.17 & 1.23 & 1.27 & 1.26 & 0.64 & 0.79 & 0.9 & 1.17 & 1.12\\
3-aa & 7.53 & 5.09 & 3.7 & 2.99 & 1.63 & 1.12 & 1.02 & 0.25 & 0.18 & 0.16 & 0.05 & 0.07 & 0.08 & 0.04 & 0.04 & 0.04 & 0.03 & 0.04\\
\hline
\end{tabular}
\end{center}
\par}
\centering
\vspace{3mm}
\end{table}
\begin{table}[h]\tiny
\vspace{3mm}
{\centering
\begin{center}
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
& \multicolumn{ 18 }{|c|}{correct $\ell$-tags(\%)} \\
\cline{2- 19}
& 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36\\
\hline
1-aa & 0 & 0 & 0 & & & & & & & & & & & & & & & \\
2-aa & 1.05 & 1.07 & 2.25 & 3.2 & 5.4 & 6.91 & 11.26 & 13.33 & 0 & 0 & 0 & 0 & 0 & & & & & \\
3-aa & 0.05 & 0.08 & 0.13 & 0.21 & 0.3 & 0.53 & 0.79 & 1.16 & 1.51 & 1.91 & 2.37 & 3.19 & 4.27 & 5 & 0 & 0 & 0 & 0\\
\hline
\end{tabular}
\end{center}
\par}