<snapdata remixID="12927065"><project name="U2L4-MathLibrary" app="Snap! 9.0, https://snap.berkeley.edu" version="2"><notes></notes><thumbnail>data:image/png;base64,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</thumbnail><scenes select="1"><scene name="U2L4-MathLibrary"><notes></notes><hidden></hidden><headers></headers><code></code><blocks><block-definition s="is %&apos;mid&apos; between %&apos;low&apos; and %&apos;high&apos; ?" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input><input type="%s"></input></inputs><script><block s="doReport"><block s="reportVariadicAnd"><list><custom-block s="%s ≥ %s"><block var="mid"/><block var="low"/></custom-block><custom-block s="%s ≤ %s"><block var="mid"/><block var="high"/></custom-block></list></block></block></script><scripts><comment x="14.666666666666666" y="88.8" w="304.6666666666667" collapsed="false">As the lab says, it&apos;s okay to use &quot;&gt;&quot; and &quot;&lt;&quot; instead of &quot;≥&quot; and &quot;≤.&quot;</comment></scripts></block-definition><block-definition s="%&apos;a&apos; ≥ %&apos;b&apos;" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input></inputs><script><block s="doReport"><block s="reportVariadicOr"><list><block s="reportVariadicGreaterThan"><list><block var="a"/><block var="b"/></list></block><block s="reportVariadicEquals"><list><block var="a"/><block var="b"/></list></block></list></block></block></script></block-definition><block-definition s="%&apos;a&apos; ≤ %&apos;b&apos;" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input></inputs><script><block s="doReport"><block s="reportVariadicOr"><list><block s="reportVariadicLessThan"><list><block var="a"/><block var="b"/></list></block><block s="reportVariadicEquals"><list><block var="a"/><block var="b"/></list></block></list></block></block></script></block-definition><block-definition s="number of divisors %&apos;number&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n"></input></inputs><script><block s="doReport"><block s="reportListAttribute"><l><option>length</option></l><custom-block s="divisors of %n"><block var="number"/></custom-block></block></block></script></block-definition><block-definition s="divisors of %&apos;number&apos;" type="reporter" category="lists"><header></header><code></code><translations></translations><inputs><input type="%n"></input></inputs><script><block s="doReport"><block s="reportKeep"><block s="reifyPredicate"><autolambda><custom-block s="is %n divisible by %n ?"><block var="number"/><l></l></custom-block></autolambda><list></list></block><block s="reportNumbers"><l>1</l><block var="number"/></block></block></block></script></block-definition><block-definition s="maximum of list %&apos;data&apos;" type="reporter" category="lists"><header></header><code></code><translations></translations><inputs><input type="%l"></input></inputs><script><block s="doReport"><block s="reportCombine"><block var="data"/><block s="reifyReporter"><autolambda><custom-block s="maximum of %n and %n"><l></l><l></l></custom-block></autolambda><list></list></block></block></block></script></block-definition><block-definition s="maximum of %&apos;a&apos; and %&apos;b&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n"></input><input type="%n"></input></inputs><script><block s="doReport"><block s="reportIfElse"><block s="reportVariadicGreaterThan"><list><block var="a"/><block var="b"/></list></block><block var="a"/><block var="b"/></block></block></script><scripts><comment x="16" y="87.46666666666665" w="246.66666666666666" collapsed="false">The &quot;reporter IF&quot; used here is the simplest and most elegant solution, and you should show it to students when you debrief this lab, but you&apos;re more likely to get commands, e.g. this:</comment><script x="23" y="172.46666666666667"><block s="doIfElse"><block s="reportVariadicGreaterThan"><list><block var="a"/><block var="b"/></list></block><script><block s="doReport"><block var="a"/></block></script><script><block s="doReport"><block var="b"/></block></script></block></script></scripts></block-definition><block-definition s="average of list %&apos;data&apos;" type="reporter" category="lists"><header></header><code></code><translations></translations><inputs><input type="%l"></input></inputs><script><block s="doReport"><block s="reportQuotient"><custom-block s="sum of list %l"><block var="data"/></custom-block><block s="reportListAttribute"><l><option>length</option></l><block var="data"/></block></block></block></script><scripts><comment x="14" y="88.8" w="289.3333333333333" collapsed="false">Important note:  It does NOT work to make a block that takes the average of two numbers and then do</comment><script x="19" y="151.13333333333333"><block s="doReport"><block s="reportCombine"><block var="data"/><block s="reifyReporter"><autolambda><custom-block s="average of %n and %n"><l></l><l></l></custom-block></autolambda><list></list></block></block></block></script><script x="15" y="273.8"><block s="reportCombine"><block s="reportNewList"><list><l>5</l><l>100</l><l>200</l></list></block><block s="reifyReporter"><autolambda><custom-block s="average of %n and %n"><l></l><l></l></custom-block></autolambda><list></list></block></block></script><script x="15.333333333333334" y="306.46666666666664"><block s="reportCombine"><block s="reportNewList"><list><l>200</l><l>100</l><l>5</l></list></block><block s="reifyReporter"><autolambda><custom-block s="average of %n and %n"><l></l><l></l></custom-block></autolambda><list></list></block></block></script><comment x="18.333333333333332" y="190.80000399999997" w="303.3333333333333" collapsed="false">This will tempt students because it follows the pattern of the other exercises so far on this page.  But COMBINE can be used only with associative operators, which AVERAGE isn&apos;t.  The last number to be averaged in will have too much influence.  Try these:</comment></scripts></block-definition><block-definition s="average of %&apos;a&apos; and %&apos;b&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n"></input><input type="%n"></input></inputs><script><block s="doReport"><block s="reportQuotient"><block s="reportVariadicSum"><list><block var="a"/><block var="b"/></list></block><l>2</l></block></block></script></block-definition><block-definition s="sum of list %&apos;data&apos;" type="reporter" category="lists"><header></header><code></code><translations></translations><inputs><input type="%l"></input></inputs><script><block s="doReport"><block s="reportCombine"><block var="data"/><block s="reifyReporter"><autolambda><block s="reportVariadicSum"><list><l></l><l></l></list></block></autolambda><list></list></block></block></block></script></block-definition><block-definition s="minimum of list %&apos;data&apos;" type="reporter" category="lists"><header></header><code></code><translations></translations><inputs><input type="%l"></input></inputs><script><block s="doReport"><block s="reportCombine"><block var="data"/><block s="reifyReporter"><autolambda><custom-block s="minimum of %n and %n"><l></l><l></l></custom-block></autolambda><list></list></block></block></block></script></block-definition><block-definition s="minimum of %&apos;a&apos; and %&apos;b&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n"></input><input type="%n"></input></inputs><script><block s="doReport"><block s="reportIfElse"><block s="reportVariadicLessThan"><list><block var="a"/><block var="b"/></list></block><block var="a"/><block var="b"/></block></block></script></block-definition><block-definition s="odd? %&apos;number&apos;" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n"></input></inputs><script><block s="doReport"><block s="reportNot"><custom-block s="is %n divisible by %n ?"><block var="number"/><l>2</l></custom-block></block></block></script></block-definition><block-definition s="even? %&apos;number&apos;" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n"></input></inputs><script><block s="doReport"><custom-block s="is %n divisible by %n ?"><block var="number"/><l>2</l></custom-block></block></script></block-definition><block-definition s="is %&apos;big&apos; divisible by %&apos;small&apos; ?" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n"></input><input type="%n"></input></inputs><script><block s="doReport"><block s="reportVariadicEquals"><list><block s="reportModulus"><block var="big"/><block var="small"/></block><l>0</l></list></block></block></script></block-definition></blocks><stage 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6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECByxcQFpoRMBzwAAAABJRU5ErkJggg==</pentrails><costumes><list struct="atomic" id="273"></list></costumes><sounds><list struct="atomic" id="274"></list></sounds><variables></variables><blocks></blocks><scripts></scripts><sprites select="1"><sprite name="Sprite" idx="1" x="0" y="0" heading="90" scale="1" volume="100" pan="0" rotation="1" draggable="true" costume="0" color="80,80,80,1" pen="tip" id="279"><costumes><list struct="atomic" id="280"></list></costumes><sounds><list struct="atomic" id="281"></list></sounds><blocks></blocks><variables></variables><scripts><script x="12" y="39.66666666666654"><custom-block s="is %s between %s and %s ?"><l>5</l><l>9</l><l>3</l></custom-block></script><script x="18" y="10"><block s="reportModulus"><l>5</l><l>12</l></block></script><script x="12" y="65.66666666666657"><custom-block s="is %n divisible by %n ?"><l>14</l><l>7</l></custom-block></script><script x="10" y="94.66666666666657"><custom-block s="maximum of %n and %n"><l>4</l><l>8</l></custom-block></script><script x="14" y="126.66666666666657"><custom-block s="even? %n"><l>5</l></custom-block></script><script x="12" y="160.66666666666663"><custom-block s="minimum of %n and %n"><l>4</l><l>6</l></custom-block></script><script x="15" y="194.66666666666686"><custom-block s="number of divisors %n"><l>8</l></custom-block></script><script x="13" y="225.66666666666674"><custom-block s="%s ≥ %s"><l>7</l><l>2</l></custom-block></script><script x="11" y="261.6666666666667"><custom-block s="odd? %n"><l>7</l></custom-block></script><script x="13" y="292.66666666666646"><custom-block s="%s ≤ %s"><l>4</l><l>4</l></custom-block></script><script x="13" y="318.66666666666634"><custom-block s="%s ≥ %s"><l>1</l><l>7</l></custom-block></script><script x="17" y="350.66666666666634"><custom-block s="divisors of %n"><l>4</l></custom-block></script><script x="17" y="381.66666666666646"><custom-block s="maximum of list %l"><block s="reportNewList"><list><l>6</l><l>14</l><l>17</l><l>-3</l></list></block></custom-block></script><script x="15" y="414.66666666666606"><custom-block s="minimum of list %l"><block s="reportNewList"><list><l>6</l><l>14</l><l>17</l><l>-3</l></list></block></custom-block></script><script x="15" y="447.6666666666657"><custom-block s="sum of list %l"><block s="reportNewList"><list><l>6</l><l>14</l><l>17</l><l>-3</l></list></block></custom-block></script><script x="15" y="486.66666666666583"><custom-block s="average of list %l"><block s="reportNewList"><list><l>6</l><l>14</l><l>17</l><l>-3</l></list></block></custom-block></script></scripts></sprite></sprites></stage><variables></variables></scene></scenes></project><media name="U2L4-MathLibrary" app="Snap! 9.0, https://snap.berkeley.edu" version="2"></media></snapdata>