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\begin {table}
\centering
\caption {Birthday spacings test: Expected and
observed number of collisions for each $i$ and $j$.}
\label {tab:birth.res1}
\smallskip
%%%%%%%%%%%%%%%%%%%%%
\begin {tabular}{|c|@{\extracolsep{10pt}}rr|rr|rr|rr|rr|}
\hline
LSize& \multicolumn{2}{c|}{$ j=1 $} & \multicolumn{2}{c|}{$ j=2 $} & \multicolumn{2}{c|}{$ j=3 $} & \multicolumn{2}{c|}{$ j=4 $} & \multicolumn{2}{c|}{$ j=5 $} \\
\hline
10 & --- & --- & 1.01 & 5 & 1.00 & 48 & 1.00 & 131 & --- & --- \\
11 & --- & --- & 1.01 & 8 & 1.00 & 52 & 1.00 & 147 & 1.00 & 377 \\
12 & 1.01 & 0 & 1.00 & 10 & 1.00 & 44 & 1.00 & 204 & 1.00 & 447 \\
13 & 1.01 & 0 & 1.00 & 11 & 1.00 & 50 & 1.00 & 196 & 1.00 & 579 \\
14 & 1.01 & 0 & 1.00 & 10 & 1.00 & 56 & 1.00 & 247 & 1.00 & 662 \\
15 & 1.00 & 2 & 1.00 & 9 & 1.00 & 55 & 1.00 & 258 & 1.00 & 911 \\
16 & 1.00 & 1 & 1.00 & 5 & 1.00 & 61 & 1.00 & 316 & 1.00 & 958 \\
17 & 1.00 & 0 & 1.00 & 7 & 1.00 & 70 & 1.00 & 365 & 1.00 & 1172 \\
18 & 1.00 & 1 & 1.00 & 10 & 1.00 & 73 & 1.00 & 385 & 1.00 & 1374 \\
19 & 1.00 & 4 & 1.00 & 13 & 1.00 & 79 & 1.00 & 414 & 1.00 & 1600 \\
20 & 1.00 & 0 & 1.00 & 7 & 1.00 & 72 & 1.00 & 449 & 1.00 & 1895 \\
21 & 1.00 & 1 & 1.00 & 5 & 1.00 & 73 & 1.00 & 509 & 1.00 & 2176 \\
22 & 1.00 & 4 & 1.00 & 8 & 1.00 & 78 & 1.00 & 505 & 1.00 & 2472 \\
23 & 1.00 & 3 & 1.00 & 13 & 1.00 & 79 & 1.00 & 522 & 1.00 & 2797 \\
24 & 1.00 & 1 & 1.00 & 16 & 1.00 & 59 & 1.00 & 580 & 1.00 & 3092 \\
25 & 1.00 & 2 & 1.00 & 9 & 1.00 & 102 & 1.00 & 588 & 1.00 & 3392 \\
26 & 1.00 & 0 & 1.00 & 10 & 1.00 & 79 & 1.00 & 629 & 1.00 & 3709 \\
27 & 1.00 & 2 & 1.00 & 11 & 1.00 & 89 & 1.00 & 636 & 1.00 & 3915 \\
28 & 1.00 & 1 & 1.00 & 8 & 1.00 & 83 & 1.00 & 691 & 1.00 & 4097 \\
29 & 1.00 & 2 & 1.00 & 12 & 1.00 & 89 & 1.00 & 650 & 1.00 & 4500 \\
30 & 1.00 & 3 & 1.00 & 16 & 1.00 & 80 & 1.00 & 649 & 1.00 & 4551 \\
\hline
\end {tabular} \\
\medskip
\end {table}
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