Use English names
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@ -27,10 +27,10 @@ For example, the table
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\begin{tabular}{ccc}
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\begin{tabular}{ccc}
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person & arrival time & leaving time \\
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person & arrival time & leaving time \\
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\hline
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\hline
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Uolevi & 10 & 15 \\
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John & 10 & 15 \\
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Maija & 6 & 12 \\
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Maria & 6 & 12 \\
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Kaaleppi & 14 & 16 \\
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Peter & 14 & 16 \\
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Liisa & 5 & 13 \\
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Lisa & 5 & 13 \\
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\end{tabular}
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\end{tabular}
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\end{center}
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\end{center}
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corresponds to the following events:
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corresponds to the following events:
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@ -51,10 +51,10 @@ corresponds to the following events:
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\draw[fill] (5,-5.5) circle [radius=0.05];
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\draw[fill] (5,-5.5) circle [radius=0.05];
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\draw[fill] (13,-5.5) circle [radius=0.05];
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\draw[fill] (13,-5.5) circle [radius=0.05];
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\node at (2,-1) {Uolevi};
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\node at (2,-1) {John};
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\node at (2,-2.5) {Maija};
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\node at (2,-2.5) {Maria};
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\node at (2,-4) {Kaaleppi};
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\node at (2,-4) {Peter};
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\node at (2,-5.5) {Liisa};
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\node at (2,-5.5) {Lisa};
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\end{tikzpicture}
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\end{tikzpicture}
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\end{center}
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\end{center}
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We go through the events from left to right
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We go through the events from left to right
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@ -85,10 +85,10 @@ In the example, the events are processed as follows:
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\draw[fill] (5,-5.5) circle [radius=0.05];
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\draw[fill] (5,-5.5) circle [radius=0.05];
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\draw[fill] (13,-5.5) circle [radius=0.05];
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\draw[fill] (13,-5.5) circle [radius=0.05];
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\node at (2,-1) {Uolevi};
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\node at (2,-1) {John};
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\node at (2,-2.5) {Maija};
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\node at (2,-2.5) {Maria};
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\node at (2,-4) {Kaaleppi};
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\node at (2,-4) {Peter};
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\node at (2,-5.5) {Liisa};
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\node at (2,-5.5) {Lisa};
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\path[draw,dashed] (10,0)--(10,-6.5);
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\path[draw,dashed] (10,0)--(10,-6.5);
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\path[draw,dashed] (15,0)--(15,-6.5);
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\path[draw,dashed] (15,0)--(15,-6.5);
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@ -122,7 +122,7 @@ The symbols $+$ and $-$ indicate whether the
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value of the counter increases or decreases,
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value of the counter increases or decreases,
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and the value of the counter is shown below.
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and the value of the counter is shown below.
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The maximum value of the counter is 3
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The maximum value of the counter is 3
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between Uolevi's arrival time and Maija's leaving time.
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between John's arrival time and Maria's leaving time.
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The running time of the algorithm is $O(n \log n)$,
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The running time of the algorithm is $O(n \log n)$,
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because sorting the events takes $O(n \log n)$ time
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because sorting the events takes $O(n \log n)$ time
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