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Ingy döt Net 2023-07-01 11:58:00 -04:00
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<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">throwDie</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">nSides</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">counts</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">nDice</span> <span style="color: #0000FF;">==</span> <span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">counts</span><span style="color: #0000FF;">[</span><span style="color: #000000;">s</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
<span style="color: #008080;">else</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">nSides</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">counts</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">throwDie</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nSides</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">+</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">counts</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">counts</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">beatingProbability</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">nSides1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nSides2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice2</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">len1</span> <span style="color: #0000FF;">:=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">nSides1</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">)</span> <span style="color: #0000FF;">*</span> <span style="color: #000000;">nDice1</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">len2</span> <span style="color: #0000FF;">:=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">nSides2</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">)</span> <span style="color: #0000FF;">*</span> <span style="color: #000000;">nDice2</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">c1</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">throwDie</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nSides1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">len1</span><span style="color: #0000FF;">)),</span>
<span style="color: #000000;">c2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">throwDie</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nSides2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">len2</span><span style="color: #0000FF;">))</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">p12</span> <span style="color: #0000FF;">:=</span> <span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nSides1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice1</span><span style="color: #0000FF;">)</span> <span style="color: #0000FF;">*</span> <span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nSides2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nDice2</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">tot</span> <span style="color: #0000FF;">:=</span> <span style="color: #000000;">0.0</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">len1</span> <span style="color: #008080;">do</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">min</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">len2</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">tot</span> <span style="color: #0000FF;">+=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">c1</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">*</span> <span style="color: #000000;">c2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">])</span> <span style="color: #0000FF;">/</span> <span style="color: #000000;">p12</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">tot</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%0.16f\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">beatingProbability</span><span style="color: #0000FF;">(</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">))</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%0.16f\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">beatingProbability</span><span style="color: #0000FF;">(</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">))</span>
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