<snapdata remixID="9326542"><project name="U5L3 CA" app="Snap! 5.4, http://snap.berkeley.edu" version="1"><notes></notes><thumbnail>data:image/png;base64,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</thumbnail><stage name="Stage" 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struct="atomic" id="2"></list></costumes><sounds><list struct="atomic" id="3"></list></sounds><variables></variables><blocks></blocks><scripts></scripts><sprites><sprite name="Sprite" idx="1" x="0" y="-180" heading="0" scale="1" volume="100" pan="0" rotation="1" draggable="true" costume="0" color="0,0,0,1" pen="tip" id="8"><costumes><list struct="atomic" id="9"></list></costumes><sounds><list struct="atomic" id="10"></list></sounds><blocks></blocks><variables></variables><scripts><script x="20" y="20"><custom-block s="1000 numbers starting from %n"><l>0</l></custom-block></script><script x="20" y="53"><custom-block s="list from %n through %n"><l>0</l><l>1</l></custom-block></script><script x="20" y="86"><custom-block s="all %n digit numbers"><l>0</l></custom-block></script><script x="20" y="119"><custom-block s="time function %repRing"><block s="reifyReporter"><script></script><list></list></block></custom-block></script></scripts></sprite><watcher scope="Sprite" s="xPosition" style="normal" x="10" y="40.000001999999995" color="74,108,212" hidden="true"/></sprites></stage><hidden></hidden><headers></headers><code></code><blocks><block-definition s="for %&apos;i&apos; = %&apos;start&apos; to %&apos;end&apos; %&apos;action&apos;" type="command" category="control"><header></header><code></code><translations></translations><inputs><input type="%upvar"></input><input type="%n">1</input><input type="%n">10</input><input type="%cs"></input></inputs><script><block s="doDeclareVariables"><list><l>step</l><l>tester</l></list></block><block s="doIfElse"><block s="reportGreaterThan"><block var="start"/><block var="end"/></block><script><block s="doSetVar"><l>step</l><l>-1</l></block><block s="doSetVar"><l>tester</l><block s="reifyReporter"><autolambda><block s="reportLessThan"><block var="i"/><block var="end"/></block></autolambda><list></list></block></block></script><script><block s="doSetVar"><l>step</l><l>1</l></block><block s="doSetVar"><l>tester</l><block s="reifyReporter"><autolambda><block s="reportGreaterThan"><block var="i"/><block var="end"/></block></autolambda><list></list></block></block></script></block><block s="doSetVar"><l>i</l><block var="start"/></block><block s="doUntil"><block s="evaluate"><block var="tester"/><list></list></block><script><block s="doRun"><block var="action"/><list></list></block><block s="doChangeVar"><l>i</l><block var="step"/></block></script></block></script></block-definition><block-definition s="announce axes position %&apos;x&apos; %&apos;y&apos;" type="command" category="looks"><header></header><code></code><translations></translations><inputs><input type="%n"></input><input type="%n"></input></inputs><script><block s="up"></block><block s="gotoXY"><block var="x"/><block s="reportSum"><block var="y"/><l>5</l></block></block></script></block-definition><block-definition s="set window scale xmin %&apos;xmin&apos; xmax %&apos;xmax&apos; ymin %&apos;ymin&apos; ymax %&apos;ymax&apos;" type="command" category="looks"><header></header><code></code><translations></translations><inputs><input type="%n"></input><input type="%n"></input><input type="%n"></input><input type="%n"></input></inputs><script><block s="clear"></block><block s="doSetVar"><l>x min val</l><block var="xmin"/></block><block s="doSetVar"><l>x max val</l><block var="xmax"/></block><block s="doSetVar"><l>y min val</l><block var="ymin"/></block><block s="doSetVar"><l>y max val</l><block var="ymax"/></block><block s="doSetVar"><l>x-stepsize</l><block s="reportQuotient"><l>480</l><block s="reportDifference"><block var="xmax"/><block var="xmin"/></block></block></block><block s="doSetVar"><l>y-stepsize</l><block s="reportQuotient"><l>360</l><block s="reportDifference"><block var="ymax"/><block var="ymin"/></block></block></block><custom-block s="announce axes position %n %n"><custom-block s="y-axis"></custom-block><custom-block s="x-axis"></custom-block></custom-block></script></block-definition><block-definition s="y-axis" type="reporter" category="looks"><header></header><code></code><translations></translations><inputs></inputs><script><block s="bubble"><l></l></block><block s="setHeading"><l>0</l></block><block s="doIfElse"><l/><script><block s="up"></block><block s="gotoXY"><l></l><l>-180</l></block><block s="setSize"><l>3</l></block><block s="down"></block><block s="forward"><l>360</l></block><block s="up"></block><block s="setSize"><l>1</l></block><block s="doReport"><block s="xPosition"></block></block></script><script><block s="up"></block><block s="gotoXY"><l>0</l><l>-180</l></block><block s="setSize"><l>1</l></block></script></block></script></block-definition><block-definition s="x-axis" type="reporter" category="looks"><header></header><code></code><translations></translations><inputs></inputs><script><block s="bubble"><l></l></block><block s="setHeading"><l>90</l></block><block s="doIfElse"><l/><script><block s="up"></block><block s="gotoXY"><l>-240</l><l></l></block><block s="setSize"><l>3</l></block><block s="down"></block><block s="forward"><l>480</l></block><block s="setSize"><l>1</l></block><block s="up"></block><block s="doReport"><block s="yPosition"></block></block></script><script><block s="up"></block><block s="gotoXY"><l>-240</l><l>0</l></block><block s="setSize"><l>1</l></block></script></block></script></block-definition><block-definition s="for each %&apos;item&apos; of %&apos;data&apos; %&apos;action&apos;" type="command" category="lists"><header></header><code></code><translations></translations><inputs><input type="%upvar"></input><input type="%l"></input><input type="%cs"></input></inputs><script><block s="doUntil"><l/><script><block s="doSetVar"><l>item</l><block s="reportListItem"><l>1</l><block var="data"/></block></block><block s="doRun"><block var="action"/><list><block s="reportListItem"><l>1</l><block var="data"/></block></list></block><block s="doSetVar"><l>data</l><block s="reportCDR"><block var="data"/></block></block></script></block></script></block-definition><block-definition s="go to scaled point x: %&apos;x&apos; y: %&apos;y&apos;" type="command" category="motion"><header></header><code></code><translations></translations><inputs><input type="%n"></input><input type="%n"></input></inputs><script><block s="gotoXY"><l></l><l></l></block></script></block-definition><block-definition s="plot point x: %&apos;x&apos; y: %&apos;y&apos;" type="command" category="looks"><header></header><code></code><translations></translations><inputs><input type="%n"></input><input type="%n"></input></inputs><script><custom-block s="go to scaled point x: %n y: %n"><block var="x"/><block var="y"/></custom-block><block s="down"></block><block s="forward"><l>1</l></block><block s="up"></block><block s="forward"><l>-1</l></block></script></block-definition><block-definition s="graph datapoints %&apos;data&apos; pen down: %&apos;pendown&apos;" type="command" category="looks"><header></header><code></code><translations></translations><inputs><input type="%l"></input><input type="%b"></input></inputs><script><block s="up"></block><custom-block s="for each %upvar of %l %cs"><l>item</l><block var="data"/><script><custom-block s="plot point x: %n y: %n"><block s="reportListItem"><l>1</l><l/></block><block s="reportListItem"><l>2</l><l/></block></custom-block><block s="doIf"><block var="pendown"/><script><block s="down"></block></script></block></script></custom-block></script></block-definition><block-definition s="list from %&apos;number 1&apos; through %&apos;number 2&apos;" type="reporter" category="lists"><header></header><code></code><translations></translations><inputs><input type="%n"></input><input type="%n"></input></inputs><script><block s="doDeclareVariables"><list><l>result</l></list></block><block s="doSetVar"><l>result</l><block s="reportNewList"><list></list></block></block><custom-block s="for %upvar = %n to %n %cs"><l>i</l><block var="number 1"/><block var="number 2"/><script><block s="doAddToList"><block var="i"/><block var="result"/></block></script></custom-block><block s="doReport"><block var="result"/></block></script></block-definition><block-definition s="alphie way %&apos;num&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n"></input></inputs><script><block s="doReport"><l></l></block></script></block-definition><block-definition s="betsy way %&apos;num&apos;" type="reporter" category="operators"><header></header><code></code><translations></translations><inputs><input type="%n"></input></inputs><script><block s="doReport"><block s="reportQuotient"><block s="reportProduct"><block var="num"/><block s="reportSum"><block var="num"/><l>1</l></block></block><l>2</l></block></block></script></block-definition><block-definition s="are the numbers of %&apos;data&apos; distinct?" type="predicate" category="operators"><header></header><code></code><translations></translations><inputs><input type="%l"></input></inputs><script><block s="doIfElse"><l/><script><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script><script><block s="doIfElse"><block s="reportListContainsItem"><block s="reportCDR"><block var="data"/></block><block s="reportListItem"><l>1</l><block var="data"/></block></block><script><block s="doReport"><block s="reportBoolean"><l><bool>false</bool></l></block></block></script><script><block s="doReport"><custom-block s="are the numbers of %l distinct?"><block s="reportCDR"><block var="data"/></block></custom-block></block></script></block></script></block></script><scripts><script x="15" y="366.4666666666667"><block s="doIf"><block s="reportLessThan"><block s="reportListLength"><block var="data"/></block><l>2</l></block><script><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script></block><custom-block s="for %upvar = %n to %n %cs"><l>i</l><l>1</l><block s="reportDifference"><block s="reportListLength"><block var="data"/></block><l>1</l></block><script><custom-block s="for %upvar = %n to %n %cs"><l>j</l><block s="reportSum"><block var="i"/><l>1</l></block><block s="reportListLength"><block var="data"/></block><script><block s="doIf"><block s="reportEquals"><block s="reportListItem"><block var="i"/><block var="data"/></block><block s="reportListItem"><block var="j"/><block var="data"/></block></block><script><block s="doReport"><block s="reportBoolean"><l><bool>false</bool></l></block></block></script></block></script></custom-block></script></custom-block><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script><script x="14.666666666666666" y="615.3333333333334"><block s="doRepeat"><block s="reportListLength"><block var="data"/></block><script><block s="doIf"><block s="reportListContainsItem"><block s="reportCDR"><block var="data"/></block><block s="reportListItem"><l>1</l><block var="data"/></block></block><script><block s="doReport"><block s="reportBoolean"><l><bool>false</bool></l></block></block></script></block><block s="doSetVar"><l>data</l><block s="reportCDR"><block var="data"/></block></block></script></block><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script><comment x="10.333334333333369" y="238.66667266666673" w="454.6666666666667" collapsed="false">This so much calls out for a recursive solution that I couldn&apos;t help putting that first.&#xD;&#xD;CONTAINS is a primitive block.  Students who remember that will have a much easier time writing this procedure than those who don&apos;t remember it.  The other thing that will complicate the solution is if the students have programmed before in one of those other languages and therefore insist on using index variables to find their way through the list instead of ALL BUT FIRST OF.  Here are a few examples of possible correct solutions:</comment><script x="13.333333333333334" y="796.8000000000001"><block s="doRepeat"><block s="reportListLength"><block var="data"/></block><script><custom-block s="for each %upvar of %l %cs"><l>item</l><block s="reportCDR"><block var="data"/></block><script><block s="doIf"><block s="reportEquals"><block s="reportListItem"><l>1</l><block var="data"/></block><block var="item"/></block><script><block s="doReport"><block s="reportBoolean"><l><bool>false</bool></l></block></block></script></block></script></custom-block><block s="doSetVar"><l>data</l><block s="reportCDR"><block var="data"/></block></block></script></block><block s="doReport"><block s="reportBoolean"><l><bool>true</bool></l></block></block></script></scripts></block-definition><block-definition s="TIME FUNCTION %&apos;function&apos;" type="reporter" category="motion"><header></header><code></code><translations></translations><inputs><input type="%repRing"></input></inputs><script><block s="doDeclareVariables"><list><l>time</l></list></block><block s="doSetVar"><l>time</l><block s="reportDate"><l><option>time in milliseconds</option></l></block></block><block s="doReport"><block s="reportNewList"><list><block s="evaluate"><block var="function"/><list></list></block><block s="reportDifference"><block s="reportDate"><l><option>time in milliseconds</option></l></block><block var="time"/></block></list></block></block></script></block-definition><block-definition s="time function %&apos;function&apos;" type="reporter" category="looks"><header></header><code></code><translations></translations><inputs><input type="%repRing"></input></inputs><script><block s="doReport"><block s="reportListItem"><l>2</l><custom-block s="TIME FUNCTION %repRing"><block var="function"/></custom-block></block></block></script></block-definition><block-definition s="average time %&apos;expression&apos; %&apos;times&apos;" type="reporter" category="other"><header></header><code></code><translations></translations><inputs><input type="%repRing"></input><input type="%n"></input></inputs><script><block s="doReport"><block var="times"/></block></script></block-definition><block-definition s="1000 numbers starting from %&apos;number 1&apos;" type="reporter" category="lists"><header></header><code></code><translations></translations><inputs><input type="%n"></input></inputs><script><block s="doReport"><custom-block s="list from %n through %n"><block var="number 1"/><block s="reportSum"><block var="number 1"/><l>999</l></block></custom-block></block></script></block-definition><block-definition s="all %&apos;digits&apos; digit numbers" type="reporter" category="lists"><header></header><code></code><translations></translations><inputs><input type="%n"></input></inputs><script><block s="doReport"><custom-block s="list from %n through %n"><block s="reportMonadic"><l><option>10^</option></l><block s="reportDifference"><block var="digits"/><l>1</l></block></block><block s="reportDifference"><block s="reportMonadic"><l><option>10^</option></l><block var="digits"/></block><l>1</l></block></custom-block></block></script></block-definition></blocks><variables></variables></project><media name="U5L3 CA" app="Snap! 5.4, http://snap.berkeley.edu" version="1"></media></snapdata>