<snapdata remixID="12884003"><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></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="%&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="reportNot"><block s="reportVariadicEquals"><list><block var="a"/><block var="b"/></list></block></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="%s"></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="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="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><block-definition s="Sum from %&apos;Number1#&apos; and %&apos;Number2#&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input></inputs><script><block s="doDeclareVariables"><list><l>Sum</l></list></block><block s="doSetVar"><l>Sum</l><l>0</l></block><block s="doFor"><l>i</l><block var="Number1#"/><block var="Number2#"/><script><block s="doChangeVar"><l>Sum</l><block var="i"/></block></script></block><block s="doReport"><block var="Sum"/></block></script></block-definition><block-definition s="sum from %&apos;num1&apos; to %&apos;num2&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n"></input><input type="%n"></input></inputs><script><block s="doDeclareVariables"><list><l>sum</l></list></block><block s="doSetVar"><l>sum</l><l>0</l></block><block s="doFor"><l>i</l><block var="num1"/><block var="num2"/><script><block s="doChangeVar"><l>sum</l><block var="i"/></block></script></block><block s="doReport"><block var="sum"/></block></script></block-definition><block-definition s="combine" type="reporter" category="variables"><header></header><code></code><translations></translations><inputs></inputs><script><block s="doReport"><l></l></block></script></block-definition><block-definition s="Maximum of list" type="command" category="variables"><header></header><code></code><translations></translations><inputs></inputs></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="Maximum of list %&apos;data&apos;" type="reporter" category="variables"><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></blocks><stage name="Stage" width="480" height="360" costume="0" color="255,255,255,1" tempo="60" threadsafe="false" penlog="false" volume="100" pan="0" lines="round" ternary="false" hyperops="true" codify="false" inheritance="true" sublistIDs="false" id="212"><pentrails>data:image/png;base64,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</pentrails><costumes><list struct="atomic" id="213"></list></costumes><sounds><list struct="atomic" id="214"></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="219"><costumes><list struct="atomic" id="220"></list></costumes><sounds><list struct="atomic" id="221"></list></sounds><blocks></blocks><variables></variables><scripts><script x="52" y="81"><custom-block s="is %n divisible by %n ?"><l>10</l><l>5</l></custom-block></script><script x="48" y="108.66666666666674"><block s="reportModulus"><l>15</l><l>6</l></block></script><script x="65" y="172"><custom-block s="is %s between %s and %s ?"><l></l><l></l><l></l></custom-block></script><script x="46" y="224"><custom-block s="%s ≤ %s"><l></l><l>2</l></custom-block></script><script x="54" y="261"><custom-block s="%s ≥ %s"><l></l><l></l></custom-block></script><script x="47" y="294"><custom-block s="%s ≠ %s"><l></l><l></l></custom-block></script><script x="200" y="293"><custom-block s="odd? %n"><l>6</l></custom-block></script><script x="123" y="331"><custom-block s="Even? %s"><l>85</l></custom-block></script><script x="369" y="196"><custom-block s="number of divisors %n"><l></l></custom-block></script><script x="331" y="299.6666666666665"><custom-block s="divisors of %n"><l>1000</l></custom-block></script><script x="143" y="415"><custom-block s="Sum from %s and %s"><l>4</l><l>56</l></custom-block></script><script x="380" y="151"><custom-block s="maximum of %n and %n"><l>5</l><l>4</l></custom-block></script><script x="210" y="348.66666666666777"><block s="reportCombine"><block s="reportNewList"><list><l>1</l><l>2</l><l>3</l></list></block><block s="reifyReporter"><autolambda><block s="reportVariadicSum"><list><l></l><l></l></list></block></autolambda><list></list></block></block></script><script x="227" y="218"><custom-block s="Maximum of list %l"><block s="reportNewList"><list><l>1</l><l>22</l><l>3</l><l>-4</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>