Peg Solitaire English Style (Standard) 33-Hole Board
2021-01-05 15:38
This GeoGebra applet constructs the classic English standard 33-hole Peg Solitaire board. Using geometric commands such as Circle, Polygon, and Sequence, it accurately renders the cross-shaped board and the positions of all 33 holes. This model demonstrates the application of geometric construction in board game design and serves as an interactive platform for logic reasoning and path planning, he
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Math Games with GeoGebra
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<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="9.75" A3="0" A4="3" A5="1"/>
<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(3, 0)" a1="r"/>
<output a0="c20"/>
</command>
<element type="conic" label="c20">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
<labelOffset x="-3" y="23"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(3,0)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="8.75" A3="0" A4="-3" A5="0"/>
<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(-2, -1)" a1="r"/>
<output a0="c22"/>
</command>
<element type="conic" label="c22">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
<labelOffset x="-10" y="21"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(-2,-1)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="4.75" A3="0" A4="2" A5="1"/>
<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(-1, -1)" a1="r"/>
<output a0="c23"/>
</command>
<element type="conic" label="c23">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
<labelOffset x="-10" y="21"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(-1,-1)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="1.75" A3="0" A4="1" A5="1"/>
<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(0, -1)" a1="r"/>
<output a0="c24"/>
</command>
<element type="conic" label="c24">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
<labelOffset x="-5" y="23"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(0,-1)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
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<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(1, -1)" a1="r"/>
<output a0="c25"/>
</command>
<element type="conic" label="c25">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
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<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(1,-1)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
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<eqnStyle style="specific"/>
</element>
<command name="Circle">
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</command>
<element type="conic" label="c26">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
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<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(2,-1)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
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<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(3, -1)" a1="r"/>
<output a0="c27"/>
</command>
<element type="conic" label="c27">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
<labelOffset x="-7" y="21"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(3,-1)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="9.75" A3="0" A4="-3" A5="1"/>
<eqnStyle style="specific"/>
<caption val="(3, -1)"/>
</element>
<command name="Circle">
<input a0="(-1, -2)" a1="r"/>
<output a0="c28"/>
</command>
<element type="conic" label="c28">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
<labelOffset x="-10" y="21"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(-1,-2)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="4.75" A3="0" A4="1" A5="2"/>
<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(0, -2)" a1="r"/>
<output a0="c29"/>
</command>
<element type="conic" label="c29">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
<labelOffset x="-6" y="21"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(0,-2)]
"/>
<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="3.75" A3="0" A4="0" A5="2"/>
<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(1, -2)" a1="r"/>
<output a0="c30"/>
</command>
<element type="conic" label="c30">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
<labelOffset x="-5" y="21"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(1,-2)]
"/>
<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="4.75" A3="0" A4="-1" A5="2"/>
<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(-1, -3)" a1="r"/>
<output a0="c31"/>
</command>
<element type="conic" label="c31">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
<labelOffset x="-10" y="22"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(-1,-3)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="9.75" A3="0" A4="1" A5="3"/>
<eqnStyle style="specific"/>
<caption val="(-1, -3)"/>
</element>
<command name="Circle">
<input a0="(0, -3)" a1="r"/>
<output a0="c32"/>
</command>
<element type="conic" label="c32">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
<labelOffset x="-7" y="21"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(0,-3)]
"/>
<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="8.75" A3="0" A4="0" A5="3"/>
<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(1, -3)" a1="r"/>
<output a0="c33"/>
</command>
<element type="conic" label="c33">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="5"/>
<labelOffset x="-6" y="23"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(1,-3)]
"/>
<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="9.75" A3="0" A4="-1" A5="3"/>
<eqnStyle style="specific"/>
</element>
<expression label="focusongo" exp="{If[focuson(1) + (1, 0) ∈ checkers, focuson(1) + (2, 0)], If[focuson(1) + (-1, 0) ∈ checkers, focuson(1) + (-2, 0)], If[focuson(1) + (0, 1) ∈ checkers, focuson(1) + (0, 2)], If[focuson(1) + (0, -1) ∈ checkers, focuson(1) + (0, -2)]}" />
<element type="list" label="focusongo">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<angleStyle val="0"/>
</element>
<command name="Intersection">
<input a0="focusongo" a1="spaces"/>
<output a0="spacesgo1"/>
</command>
<element type="list" label="spacesgo1">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<listType val="point"/>
<pointSize val="9"/>
<pointStyle val="3"/>
<angleStyle val="0"/>
</element>
<expression label="F" exp="(2, 2)" type="point"/>
<element type="point" label="F">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<ggbscript onUpdate="RunClickScript(buttonMove)"/>
<coords x="2" y="2" z="1"/>
<pointSize val="9"/>
<pointStyle val="4"/>
</element>
<expression label="S" exp="(2, 2)" type="point"/>
<element type="point" label="S">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="2" y="2" z="1"/>
<pointSize val="9"/>
<pointStyle val="4"/>
</element>
<expression label="T" exp="(2, 2)" type="point"/>
<element type="point" label="T">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="2" y="2" z="1"/>
<pointSize val="9"/>
<pointStyle val="4"/>
</element>
<element type="button" label="buttonRestart">
<show object="true" label="true" ev="2"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="191" g="255" b="0" alpha="255"/>
<layer val="7"/>
<labelOffset x="294" y="647"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="spaces={(0,0)}

F=(2,2)
S=(2,2)
T=(2,2)

focuson={}
Gamelog={}

showLog=false
showCoordinate=false
showRule=false
showResult=false"/>
<font serif="false" sizeM="3" size="40" style="1"/>
<dimensions width="170" height="70" />
<startPoint x="-1" y="-4" z="1"/>
<caption val="Restart"/>
</element>
<command name="RemoveUndefined">
<input a0="Sequence[If[(focuson(1) + spacesgo1(k)) / 2 ∈ checkers, spacesgo1(k)], k, 1, Length[spacesgo1]]"/>
<output a0="spacesgo"/>
</command>
<element type="list" label="spacesgo">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<listType val="point"/>
<pointSize val="9"/>
<pointStyle val="3"/>
<angleStyle val="0"/>
</element>
<command name="Polygon">
<input a0="{(-1.5, -3.5), (1.5, -3.5), (1.5, -1.5), (3.5, -1.5), (3.5, 1.5), (1.5, 1.5), (1.5, 3.5), (-1.5, 3.5), (-1.5, 1.5), (-3.5, 1.5), (-3.5, -1.5), (-1.5, -1.5)}"/>
<output a0="polyBoard"/>
</command>
<element type="polygon" label="polyBoard">
<lineStyle thickness="0" type="0" typeHidden="1" opacity="178"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="255" b="0" alpha="1" inverseFill="true"/>
<layer val="1"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<selectionAllowed val="false"/>
<ggbscript val="F=(2,2)
S=(2,2)
T=(2,2)
focuson={}
SelectObjects()"/>
</element>
<element type="point" label="A">
<show object="false" label="false" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="8"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="2" y="-3" z="1"/>
<pointSize val="9"/>
<pointStyle val="1"/>
</element>
<element type="image" label="picMarble">
<file name="6d3dd647aa379cf884da63bdb8774136/transferImage.png"/>
<inBackground val="false"/>
<startPoint number="0" exp="A"/>
<startPoint number="1" exp="A + (0.75, 0)"/>
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="1"/>
<layer val="8"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<command name="Polygon">
<input a0="{(-1.5, -3.5), (1.5, -3.5), (1.5, -1.5), (3.5, -1.5), (3.5, 1.5), (1.5, 1.5), (1.5, 3.5), (-1.5, 3.5), (-1.5, 1.5), (-3.5, 1.5), (-3.5, -1.5), (-1.5, -1.5)}"/>
<output a0="polyBoardEdge"/>
</command>
<element type="polygon" label="polyBoardEdge">
<lineStyle thickness="13" type="0" typeHidden="1" opacity="178"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<ggbscript val="F=(2,2)
S=(2,2)
T=(2,2)
focuson={}
SelectObjects()"/>
</element>
<command name="Polygon">
<input a0="{Corner[1], Corner[2], Corner[3], Corner[4]}"/>
<output a0="polyBackground"/>
</command>
<element type="polygon" label="polyBackground">
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="255" b="255" alpha="0.18000000715255737"/>
<layer val="0"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<ggbscript val="S=(2,2)
T=(2,2)
focuson={}
SelectObjects()"/>
</element>
<command name="Length">
<input a0="checkers"/>
<output a0="numR"/>
</command>
<element type="numeric" label="numR">
<value val="32"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<element type="button" label="buttonMove">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="8"/>
<labelOffset x="101" y="187"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[T,(2,2)]
If[F∈checkers,Execute({"SetValue[focuson,{F}]","SetValue[S,F]"})]
If[F∈spacesgo,SetValue[T,F]]

If[T∈spacesgo,SetValue(Gamelog,CopyFreeObject(If(Last(Gamelog(nGL))=={S},Join(First(Gamelog,nGL-1),{Join(Gamelog(nGL),{T})}),Append(Gamelog,{S,T}))))]

If[T∈spacesgo,Execute({"SetValue[spaces,Append(spaces,S)]","SetValue[spaces,Remove(spaces,{T})]","SetValue[spaces,Append(spaces,(S+T)/2)]","SetValue[focuson,{F}]"})]
If[spacesgo=={},SetValue[focuson,{}],SetValue[S,F]]

SelectObjects()
If[allgo=={},SetValue(showResult,true)]
"/>
<font serif="false" sizeM="2" size="20" style="0"/>
<caption val="MoveScript"/>
</element>
<command name="Length">
<input a0="Gamelog"/>
<output a0="nGL"/>
</command>
<element type="numeric" label="nGL">
<value val="0"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<expression label="showCoordinate" exp="false"/>
<element type="boolean" label="showCoordinate">
<value val="false"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="7"/>
<labelOffset x="542" y="733"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="Coordinate"/>
</element>
<command name="Sequence">
<input a0="Translate[picMarble, Vector[A, checkers(k) + (-0.375, -0.375)]]" a1="k" a2="1" a3="Length[checkers]"/>
<output a0="checkersM"/>
</command>
<element type="list" label="checkersM">
<show object="true" label="false" ev="4"/>
<objColor r="75" g="0" b="130" alpha="1"/>
<layer val="2"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<selectionAllowed val="false"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[checkers(k), 0.375]" a1="k" a2="1" a3="Length[checkers]"/>
<output a0="checkersC"/>
</command>
<element type="list" label="checkersC">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<selectionAllowed val="false"/>
<lineStyle thickness="3" type="0" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[spacesgo(k), 0.375]" a1="k" a2="1" a3="Length[spacesgo]"/>
<output a0="spacesgoC"/>
</command>
<element type="list" label="spacesgoC">
<show object="true" label="false" ev="4"/>
<objColor r="127" g="0" b="255" alpha="0.5"/>
<layer val="3"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<selectionAllowed val="false"/>
<lineStyle thickness="1" type="0" typeHidden="1"/>
<listType val="conic"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<angleStyle val="0"/>
</element>
<expression label="focusonC" exp="{Circle[focuson(1), 0.375]}" />
<element type="list" label="focusonC">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="0" alpha="0.4000000059604645"/>
<layer val="3"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<lineStyle thickness="1" type="0" typeHidden="1" opacity="178"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[spaces(k), 0.375]" a1="k" a2="1" a3="Length[spaces]"/>
<output a0="spacesC"/>
</command>
<element type="list" label="spacesC">
<show object="true" label="false" ev="4"/>
<objColor r="192" g="192" b="192" alpha="0.75"/>
<layer val="2"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<selectionAllowed val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<angleStyle val="0"/>
</element>
<expression label="showRule" exp="false"/>
<element type="boolean" label="showRule">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="5" y="65"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label="showLog" exp="false"/>
<element type="boolean" label="showLog">
<value val="false"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="7"/>
<labelOffset x="542" y="649"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="GameLog"/>
</element>
<expression label="textMoves" exp=""Moves
 " + nGL + """ />
<element type="text" label="textMoves">
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跳。棋子只能跳過相鄰的棋子到空位上，並且把被跳
過的棋子吃掉。棋子可以沿格線橫、縱方向跳，但是
不能斜跳，剩下越少棋子越好。
最佳結果是在最後只留下一個棋子在盤面的正中央，
最少所需的移動步數為18步(連續跳躍視為同一步)。

Peg solitaire (or Solo Noble) is a board game for one 
player involving movement of pegs on a board with 
holes.You have to remove the pegs one after the other 
by jumping horizontally or vertically over one. In the 
end one peg should be left in the centre hole. 
The “world record” is a solution with 18 moves by 
E. Bergholt from 1912.
Consecutive multi-jump counts as one move.""/>
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You have spent " + nGL + " moves, 
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Rank: " + (If[numR > 6, rankEng(1), ""]) + "" + (If[numR ≟ 6, rankEng(2), ""]) + "" + (If[numR ≟ 5, rankEng(3), ""]) + "" + (If[numR ≟ 4, rankEng(4), ""]) + "" + (If[numR ≟ 3, rankEng(5), ""]) + "" + (If[numR ≟ 2, rankEng(6), ""]) + "" + (If[numR ≟ 1 ∧ checkers ≠ {(0, 0)} ∧ nGL ≠ 18, rankEng(7), ""]) + "" + (If[numR ≟ 1 ∧ checkers ≟ {(0, 0)} ∧ nGL ≠ 18, rankEng(8), ""]) + "" + (If[numR ≟ 1 ∧ checkers ≟ {(0, 0)} ∧ nGL ≟ 18, rankEng(9), ""]) + """ />
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您走了 " + nGL + " 步，剩餘 " + numR + " 個棋子
評級: " + (LaTeX[If[numR > 6, rankCht(1)]]) + "" + (LaTeX[If[numR ≟ 6, rankCht(2)]]) + "" + (LaTeX[If[numR ≟ 5, rankCht(3)]]) + "" + (LaTeX[If[numR ≟ 4, rankCht(4)]]) + "" + (LaTeX[If[numR ≟ 3, rankCht(5)]]) + "" + (LaTeX[If[numR ≟ 2, rankCht(6)]]) + "" + (LaTeX[If[numR ≟ 1 ∧ checkers ≠ {(0, 0)} ∧ nGL ≠ 18, rankCht(7)]]) + "" + (LaTeX[If[numR ≟ 1 ∧ checkers ≟ {(0, 0)} ∧ nGL ≠ 18, rankCht(8)]]) + "" + (LaTeX[If[numR ≟ 1 ∧ checkers ≟ {(0, 0)} ∧ nGL ≟ 18, rankCht(9)]]) + """ />
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