<snapdata remixID="11961614"><project name="U2L4-MathLibrary" app="Snap! 7, https://snap.berkeley.edu" version="2"><notes></notes><thumbnail>data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKAAAAB4CAYAAAB1ovlvAAAAAXNSR0IArs4c6QAAAspJREFUeF7t10FKW1EAhtGbSiAzcSJVIUKhuAE30BU4t6SDgsQQ6Xo6cDFZjoKjjJUUOuvAUjrIB+G88YOf+90DjzfZ7Xa74VEgKjABMCpv9ncBAEFICwCY5jcOIANpAQDT/MYBZCAtAGCa3ziADKQFAEzzGweQgbQAgGl+4wAykBYAMM1vHEAG0gIApvmNA8hAWgDANL9xABlICwCY5jcOIANpAQDT/MYBZCAtAGCa3ziADKQFAEzzGweQgbQAgGl+4wAykBYAMM1vHEAG0gIApvmNA8hAWgDANL9xABlICwCY5jcOIANpAQDT/MYBZCAtAGCa3ziADKQFAEzzGweQgbQAgGl+4wAykBYAMM1vHEAG0gIApvmNA8hAWgDANL9xABlICwCY5jcOIANpAQDT/MYBZCAtAGCa3ziADKQFAHwn/+Pjz/H8/DQWi+9jPp+nl3TI4wC+c7vb7XZcX1+Nl5en8fo6GcvlepyfX47V6mHMZrNDNrHXswH4l9ybzWbc3HwZR0d/vnR8fDqWy9W4uPg0Fotve72wQxsD8D8Anpx8HHd3yzGffx63t18PzcRezwPgP3yC394+jPv79Tg7uxzr9Y8xnU73ekmHPAagn5DUN4BpfuMAMpAWADDNbxxABtICAKb5jQPIQFoAwDS/cQAZSAsAmOY3DiADaQEA0/zGAWQgLQBgmt84gAykBQBM8xsHkIG0AIBpfuMAMpAWADDNbxxABtICAKb5jQPIQFoAwDS/cQAZSAsAmOY3DiADaQEA0/zGAWQgLQBgmt84gAykBQBM8xsHkIG0AIBpfuMAMpAWADDNbxxABtICAKb5jQPIQFoAwDS/cQAZSAsAmOY3DiADaQEA0/zGAWQgLQBgmt84gAykBQBM8xsHkIG0AIBpfuMAMpAWADDNbxxABtICAKb5jQPIQFoAwDS/cQAZSAsAmOY3/gvfEgy3b9bdoQAAAABJRU5ErkJggg==</thumbnail><scenes select="1"><scene name="U2L4-MathLibrary"><notes></notes><hidden></hidden><headers></headers><code></code><blocks><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="reportEquals"><block s="reportModulus"><block var="big"/><block var="small"/></block><l>0</l></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="integer? %&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="reportEquals"><block var="number"/><block s="reportRound"><block var="number"/></block></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="reportOr"><block s="reportLessThan"><block var="a"/><block var="b"/></block><block s="reportEquals"><block var="a"/><block var="b"/></block></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="reportOr"><block s="reportGreaterThan"><block var="a"/><block var="b"/></block><block s="reportEquals"><block var="a"/><block var="b"/></block></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="reportEquals"><block var="a"/><block var="b"/></block></block></block></script></block-definition><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="reportAnd"><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></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="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="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="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="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="reportGreaterThan"><block var="a"/><block var="b"/></block><block var="a"/><block var="b"/></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="reportLessThan"><block var="a"/><block var="b"/></block><block var="a"/><block var="b"/></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="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="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="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></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="greatest common divisor 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="reportListItem"><l><option>last</option></l><custom-block s="intersection %l %l"><custom-block s="divisors of %n"><block var="a"/></custom-block><custom-block s="divisors of %n"><block var="b"/></custom-block></custom-block></block></block></script></block-definition><block-definition s="intersection %&apos;lista&apos; %&apos;listb&apos;" type="reporter" category="lists"><header></header><code></code><translations></translations><inputs><input type="%l"></input><input type="%l"></input></inputs><script><block s="doReport"><block s="reportKeep"><block s="reifyPredicate"><autolambda><block s="reportListContainsItem"><block var="listb"/><l></l></block></autolambda><list></list></block><block var="lista"/></block></block></script><scripts><comment x="10.666666666666666" y="92.8" w="314.6666666666667" collapsed="false">This solution is a little counterintuitive, because it treats the two lists asymmetrically.  We start with LISTA and keep items from it that are also in LISTB.  So, expect students to have trouble thinking of this solution.</comment></scripts></block-definition><block-definition s="make a point" type="command" category="looks"><header></header><code></code><translations></translations><inputs></inputs><script><block s="setSize"><l>5</l></block><block s="down"></block><block s="forward"><l>0</l></block><block s="up"></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" 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