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i=c[h][g];i>0&&i<this.minD&&(this.minD=i)}for(this.minD===Number.MAX_VALUE&&(this.minD=1),h=this.k;h--;){for(this.g[h]=new Array(f),this.H[h]=new Array(f),g=f;g--;)this.H[h][g]=new Array(f);this.Hd[h]=new Array(f),this.a[h]=new Array(f),this.b[h]=new Array(f),this.c[h]=new Array(f),this.d[h]=new Array(f),this.e[h]=new Array(f),this.ia[h]=new Array(f),this.ib[h]=new Array(f),this.xtmp[h]=new Array(f)}}return a.createSquareMatrix=function(a,b){for(var c=new Array(a),d=0;a>d;++d){c[d]=new Array(a);for(var e=0;a>e;++e)c[d][e]=b(d,e)}return c},a.prototype.offsetDir=function(){for(var a=this,b=new Array(this.k),c=0,d=0;d<this.k;++d){var e=b[d]=this.random.getNextBetween(.01,1)-.5;c+=e*e}return c=Math.sqrt(c),b.map(function(b){return b*=a.minD/c})},a.prototype.computeDerivatives=function(a){var b=this,c=this.n;if(!(1>c)){for(var d,e=new Array(this.k),f=new Array(this.k),g=new Array(this.k),h=0,i=0;c>i;++i){for(d=0;d<this.k;++d)g[d]=this.g[d][i]=0;for(var j=0;c>j;++j)if(i!==j){for(;;){var k=0;for(d=0;d<this.k;++d){var l=e[d]=a[d][i]-a[d][j];k+=f[d]=l*l}if(k>1e-9)break;var m=this.offsetDir();for(d=0;d<this.k;++d)a[d][j]+=m[d]}var n=Math.sqrt(k),o=this.D[i][j],p=null!=this.G?this.G[i][j]:1;if(p>1&&n>o||!isFinite(o))for(d=0;d<this.k;++d)this.H[d][i][j]=0;else{p>1&&(p=1);var q=o*o,r=p*(n-o)/(q*n),s=-p/(q*n*n*n);for(isFinite(r)||console.log(r),d=0;d<this.k;++d)this.g[d][i]+=e[d]*r,g[d]-=this.H[d][i][j]=s*(o*(f[d]-k)+n*k)}}for(d=0;d<this.k;++d)h=Math.max(h,this.H[d][i][i]=g[d])}this.locks.isEmpty()||this.locks.apply(function(c,e){for(d=0;d<b.k;++d)b.H[d][c][c]+=h,b.g[d][c]-=h*(e[d]-a[d][c])})}},a.dotProd=function(a,b){for(var c=0,d=a.length;d--;)c+=a[d]*b[d];return c},a.rightMultiply=function(b,c,d){for(var e=b.length;e--;)d[e]=a.dotProd(b[e],c)},a.prototype.computeStepSize=function(b){for(var c=0,d=0,e=0;2>e;++e)c+=a.dotProd(this.g[e],b[e]),a.rightMultiply(this.H[e],b[e],this.Hd[e]),d+=a.dotProd(b[e],this.Hd[e]);return 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g.gid?b.target:d[g.gid]))}),d},a.prototype.allEdges=function(){var b=[];return a.getEdges(this.roots,b),b},a.getEdges=function(b,c){for(var d in b){var e=b[d];e.getEdges(c),a.getEdges(e.children,c)}},a}();a.Configuration=g;var h=function(){function a(a,b,c,d){this.id=a,this.outgoing=b,this.incoming=c,this.children=d}return a.prototype.getEdges=function(a){for(var b in this.outgoing)a.push({source:this.id,target:this.outgoing[b].id})},a.prototype.isLeaf=function(){return 0==Object.keys(this.children).length},a.prototype.isIsland=function(){return 0==Object.keys(this.outgoing).length&&0==Object.keys(this.incoming).length},a}();a.Module=h,a.getGroups=e}(a.powergraph||(a.powergraph={}));a.powergraph}(cola||(cola={}));var PairingHeap=function(){function a(a){this.elem=a,this.subheaps=[]}return a.prototype.toString=function(a){for(var b="",c=!1,d=0;d<this.subheaps.length;++d){var e=this.subheaps[d];e.elem?(c&&(b+=","),b+=e.toString(a),c=!0):c=!1}return""!==b&&(b="("+b+")"),(this.elem?a(this.elem):"")+b},a.prototype.forEach=function(a){this.empty()||(a(this.elem,this),this.subheaps.forEach(function(b){return b.forEach(a)}))},a.prototype.count=function(){return this.empty()?0:1+this.subheaps.reduce(function(a,b){return a+b.count()},0)},a.prototype.min=function(){return this.elem},a.prototype.empty=function(){return null==this.elem},a.prototype.contains=function(a){if(this===a)return!0;for(var b=0;b<this.subheaps.length;b++)if(this.subheaps[b].contains(a))return!0;return!1},a.prototype.isHeap=function(a){var b=this;return this.subheaps.every(function(c){return a(b.elem,c.elem)&&c.isHeap(a)})},a.prototype.insert=function(b,c){return this.merge(new a(b),c)},a.prototype.merge=function(a,b){return this.empty()?a:a.empty()?this:b(this.elem,a.elem)?(this.subheaps.push(a),this):(a.subheaps.push(this),a)},a.prototype.removeMin=function(a){return this.empty()?null:this.mergePairs(a)},a.prototype.mergePairs=function(b){if(0==this.subheaps.length)return new a(null);if(1==this.subheaps.length)return this.subheaps[0];var c=this.subheaps.pop().merge(this.subheaps.pop(),b),d=this.mergePairs(b);return c.merge(d,b)},a.prototype.decreaseKey=function(b,c,d,e){var f=b.removeMin(e);b.elem=f.elem,b.subheaps=f.subheaps,null!==d&&null!==f.elem&&d(b.elem,b);var g=new a(c);return null!==d&&d(c,g),this.merge(g,e)},a}(),PriorityQueue=function(){function a(a){this.lessThan=a}return a.prototype.top=function(){return this.empty()?null:this.root.elem},a.prototype.push=function(){for(var a=[],b=0;b<arguments.length-0;b++)a[b]=arguments[b+0];for(var c,d,e=0;d=a[e];++e)c=new PairingHeap(d),this.root=this.empty()?c:this.root.merge(c,this.lessThan);return c},a.prototype.empty=function(){return!this.root||!this.root.elem},a.prototype.isHeap=function(){return this.root.isHeap(this.lessThan)},a.prototype.forEach=function(a){this.root.forEach(a)},a.prototype.pop=function(){if(this.empty())return null;var a=this.root.min();return this.root=this.root.removeMin(this.lessThan),a},a.prototype.reduceKey=function(a,b,c){"undefined"==typeof c&&(c=null),this.root=this.root.decreaseKey(a,b,c,this.lessThan)},a.prototype.toString=function(a){return this.root.toString(a)},a.prototype.count=function(){return this.root.count()},a}(),cola;!function(a){!function(a){var b=function(){function a(a){this.scale=a,this.AB=0,this.AD=0,this.A2=0}return a.prototype.addVariable=function(a){var b=this.scale/a.scale,c=a.offset/a.scale,d=a.weight;this.AB+=d*b*c,this.AD+=d*b*a.desiredPosition,this.A2+=d*b*b},a.prototype.getPosn=function(){return(this.AD-this.AB)/this.A2},a}();a.PositionStats=b;var c=function(){function a(a,b,c,d){"undefined"==typeof d&&(d=!1),this.left=a,this.right=b,this.gap=c,this.equality=d,this.active=!1,this.unsatisfiable=!1,this.left=a,this.right=b,this.gap=c,this.equality=d}return a.prototype.slack=function(){return this.unsatisfiable?Number.MAX_VALUE:this.right.scale*this.right.position()-this.gap-this.left.scale*this.left.position()},a}();a.Constraint=c;var d=function(){function a(a,b,c){"undefined"==typeof b&&(b=1),"undefined"==typeof c&&(c=1),this.desiredPosition=a,this.weight=b,this.scale=c,this.offset=0}return a.prototype.dfdv=function(){return 2*this.weight*(this.position()-this.desiredPosition)},a.prototype.position=function(){return(this.block.ps.scale*this.block.posn+this.offset)/this.scale},a.prototype.visitNeighbours=function(a,b){var c=function(c,d){return c.active&&a!==d&&b(c,d)};this.cOut.forEach(function(a){return c(a,a.right)}),this.cIn.forEach(function(a){return c(a,a.left)})},a}();a.Variable=d;var e=function(){function a(a){this.vars=[],a.offset=0,this.ps=new b(a.scale),this.addVariable(a)}return a.prototype.addVariable=function(a){a.block=this,this.vars.push(a),this.ps.addVariable(a),this.posn=this.ps.getPosn()},a.prototype.updateWeightedPosition=function(){this.ps.AB=this.ps.AD=this.ps.A2=0;for(var a=0,b=this.vars.length;b>a;++a)this.ps.addVariable(this.vars[a]);this.posn=this.ps.getPosn()},a.prototype.compute_lm=function(a,b,c){var d=this,e=a.dfdv();return a.visitNeighbours(b,function(b,f){var g=d.compute_lm(f,a,c);f===b.right?(e+=g*b.left.scale,b.lm=g):(e+=g*b.right.scale,b.lm=-g),c(b)}),e/a.scale},a.prototype.populateSplitBlock=function(a,b){var c=this;a.visitNeighbours(b,function(b,d){d.offset=a.offset+(d===b.right?b.gap:-b.gap),c.addVariable(d),c.populateSplitBlock(d,a)})},a.prototype.traverse=function(a,b,c,d){"undefined"==typeof c&&(c=this.vars[0]),"undefined"==typeof d&&(d=null);var e=this;c.visitNeighbours(d,function(d,f){b.push(a(d)),e.traverse(a,b,f,c)})},a.prototype.findMinLM=function(){var a=null;return this.compute_lm(this.vars[0],null,function(b){!b.equality&&(null===a||b.lm<a.lm)&&(a=b)}),a},a.prototype.findMinLMBetween=function(a,b){this.compute_lm(a,null,function(){});var c=null;return this.findPath(a,null,b,function(a,b){!a.equality&&a.right===b&&(null===c||a.lm<c.lm)&&(c=a)}),c},a.prototype.findPath=function(a,b,c,d){var e=this,f=!1;return a.visitNeighbours(b,function(b,g){f||g!==c&&!e.findPath(g,a,c,d)||(f=!0,d(b,g))}),f},a.prototype.isActiveDirectedPathBetween=function(a,b){if(a===b)return!0;for(var c=a.cOut.length;c--;){var d=a.cOut[c];if(d.active&&this.isActiveDirectedPathBetween(d.right,b))return!0}return!1},a.split=function(b){return b.active=!1,[a.createSplitBlock(b.left),a.createSplitBlock(b.right)]},a.createSplitBlock=function(b){var c=new a(b);return c.populateSplitBlock(b,null),c},a.prototype.splitBetween=function(b,c){var d=this.findMinLMBetween(b,c);if(null!==d){var e=a.split(d);return{constraint:d,lb:e[0],rb:e[1]}}return null},a.prototype.mergeAcross=function(a,b,c){b.active=!0;for(var d=0,e=a.vars.length;e>d;++d){var f=a.vars[d];f.offset+=c,this.addVariable(f)}this.posn=this.ps.getPosn()},a.prototype.cost=function(){for(var a=0,b=this.vars.length;b--;){var c=this.vars[b],d=c.position()-c.desiredPosition;a+=d*d*c.weight}return a},a}();a.Block=e;var f=function(){function a(a){this.vs=a;var b=a.length;for(this.list=new Array(b);b--;){var c=new e(a[b]);this.list[b]=c,c.blockInd=b}}return a.prototype.cost=function(){for(var a=0,b=this.list.length;b--;)a+=this.list[b].cost();return a},a.prototype.insert=function(a){a.blockInd=this.list.length,this.list.push(a)},a.prototype.remove=function(a){var b=this.list.length-1,c=this.list[b];this.list.length=b,a!==c&&(this.list[a.blockInd]=c,c.blockInd=a.blockInd)},a.prototype.merge=function(a){var b=a.left.block,c=a.right.block,d=a.right.offset-a.left.offset-a.gap;b.vars.length<c.vars.length?(c.mergeAcross(b,a,d),this.remove(b)):(b.mergeAcross(c,a,-d),this.remove(c))},a.prototype.forEach=function(a){this.list.forEach(a)},a.prototype.updateBlockPositions=function(){this.list.forEach(function(a){return a.updateWeightedPosition()})},a.prototype.split=function(a){var b=this;this.updateBlockPositions(),this.list.forEach(function(c){var d=c.findMinLM();null!==d&&d.lm<g.LAGRANGIAN_TOLERANCE&&(c=d.left.block,e.split(d).forEach(function(a){return b.insert(a)}),b.remove(c),a.push(d))})},a}();a.Blocks=f;var g=function(){function a(a,b){this.vs=a,this.cs=b,this.vs=a,a.forEach(function(a){a.cIn=[],a.cOut=[]}),this.cs=b,b.forEach(function(a){a.left.cOut.push(a),a.right.cIn.push(a)}),this.inactive=b.map(function(a){return a.active=!1,a}),this.bs=null}return a.prototype.cost=function(){return this.bs.cost()},a.prototype.setStartingPositions=function(a){this.inactive=this.cs.map(function(a){return a.active=!1,a}),this.bs=new f(this.vs),this.bs.forEach(function(b,c){return b.posn=a[c]})},a.prototype.setDesiredPositions=function(a){this.vs.forEach(function(b,c){return b.desiredPosition=a[c]})},a.prototype.mostViolated=function(){for(var b=Number.MAX_VALUE,c=null,d=this.inactive,e=d.length,f=e,g=0;e>g;++g){var h=d[g];if(!h.unsatisfiable){var i=h.slack();if((h.equality||b>i)&&(b=i,c=h,f=g,h.equality))break}}return f!==e&&(b<a.ZERO_UPPERBOUND&&!c.active||c.equality)&&(d[f]=d[e-1],d.length=e-1),c},a.prototype.satisfy=function(){null==this.bs&&(this.bs=new f(this.vs)),this.bs.split(this.inactive);for(var b=null;(b=this.mostViolated())&&(b.equality||b.slack()<a.ZERO_UPPERBOUND&&!b.active);){var c=b.left.block,d=b.right.block;if(c!==d)this.bs.merge(b);else{if(c.isActiveDirectedPathBetween(b.right,b.left)){b.unsatisfiable=!0;continue}var e=c.splitBetween(b.left,b.right);if(null===e){b.unsatisfiable=!0;continue}this.bs.insert(e.lb),this.bs.insert(e.rb),this.bs.remove(c),this.inactive.push(e.constraint),b.slack()>=0?this.inactive.push(b):this.bs.merge(b)}}},a.prototype.solve=function(){this.satisfy();for(var a=Number.MAX_VALUE,b=this.bs.cost();Math.abs(a-b)>1e-4;)this.satisfy(),a=b,b=this.bs.cost();return b},a.LAGRANGIAN_TOLERANCE=-1e-4,a.ZERO_UPPERBOUND=-1e-10,a}();a.Solver=g}(a.vpsc||(a.vpsc={}));a.vpsc}(cola||(cola={}));var cola;!function(a){!function(b){function c(a){return a.bounds="undefined"!=typeof a.leaves?a.leaves.reduce(function(a,b){return b.bounds.union(a)},q.empty()):q.empty(),"undefined"!=typeof a.groups&&(a.bounds=a.groups.reduce(function(a,b){return c(b).union(a)},a.bounds)),a.bounds=a.bounds.inflate(a.padding),a.bounds}function d(a,b,c,d){var e=b.rayIntersection(c.cx(),c.cy());e||(e={x:b.cx(),y:b.cy()});var f=c.rayIntersection(b.cx(),b.cy());f||(f={x:c.cx(),y:c.cy()});var g=f.x-e.x,h=f.y-e.y,i=Math.sqrt(g*g+h*h),j=i-d;a.sourceIntersection=e,a.targetIntersection=f,a.arrowStart={x:e.x+j*g/i,y:e.y+j*h/i}}function e(a,b,c){var d=b.rayIntersection(a.x,a.y);d||(d={x:b.cx(),y:b.cy()});var e=d.x-a.x,f=d.y-a.y,g=Math.sqrt(e*e+f*f);return{x:d.x-c*e/g,y:d.y-c*f/g}}function f(a,b){return a.pos>b.pos?1:a.pos<b.pos?-1:a.isOpen?-1:0}function g(){return new RBTree(function(a,b){return a.pos-b.pos})}function h(a,b,c,d){"undefined"==typeof d&&(d=!1);var e=a.padding,f="undefined"!=typeof a.groups?a.groups.length:0,g="undefined"!=typeof a.leaves?a.leaves.length:0,j=f?a.groups.reduce(function(a,d){return a.concat(h(d,b,c,!0))},[]):[],k=(d?2:0)+g+f,l=new Array(k),m=new Array(k),n=0,o=function(a,b){m[n]=a,l[n++]=b};if(d){var p=a.bounds,q=b.getCentre(p),r=b.getSize(p)/2,s=b.getOpen(p),t=b.getClose(p),u=q-r+e/2,v=q+r-e/2;a.minVar.desiredPosition=u,o(b.makeRect(s,t,u,e),a.minVar),a.maxVar.desiredPosition=v,o(b.makeRect(s,t,v,e),a.maxVar)}g&&a.leaves.forEach(function(a){return o(a.bounds,a.variable)}),f&&a.groups.forEach(function(a){var c=a.bounds;o(b.makeRect(b.getOpen(c),b.getClose(c),b.getCentre(c),b.getSize(c)),a.minVar)});var w=i(m,l,b,c);return f&&(l.forEach(function(a){a.cOut=[],a.cIn=[]}),w.forEach(function(a){a.left.cOut.push(a),a.right.cIn.push(a)}),a.groups.forEach(function(a){var c=(a.padding-b.getSize(a.bounds))/2;a.minVar.cIn.forEach(function(a){return a.gap+=c}),a.minVar.cOut.forEach(function(b){b.left=a.maxVar,b.gap+=c})})),j.concat(w)}function i(b,c,d,e){var h,i=b.length,j=2*i;console.assert(c.length>=i);var k=new Array(j);for(h=0;i>h;++h){var l=b[h],m=new r(c[h],l,d.getCentre(l));k[h]=new s(!0,m,d.getOpen(l)),k[h+i]=new s(!1,m,d.getClose(l))}k.sort(f);var n=new Array,o=g();for(h=0;j>h;++h){var p=k[h],m=p.v;if(p.isOpen)o.insert(m),d.findNeighbours(m,o);else{o.remove(m);var q=function(b,c){var f=(d.getSize(b.r)+d.getSize(c.r))/2+e;n.push(new a.vpsc.Constraint(b.v,c.v,f))},t=function(a,b,c){for(var d,e=m[a].iterator();null!==(d=e[a]());)c(d,m),d[b].remove(m)};t("prev","next",function(a,b){return q(a,b)}),t("next","prev",function(a,b){return q(b,a)})}}return console.assert(0===o.size),n}function j(a,b){var c=function(c,d){for(var e,f=b.findIter(a);null!==(e=f[c]());){var g=e.r.overlapX(a.r);if((0>=g||g<=e.r.overlapY(a.r))&&(a[c].insert(e),e[d].insert(a)),0>=g)break}};c("next","prev"),c("prev","next")}function k(a,b){var c=function(c,d){var e=b.findIter(a)[c]();null!==e&&e.r.overlapX(a.r)>0&&(a[c].insert(e),e[d].insert(a))};c("next","prev"),c("prev","next")}function l(a,b){return i(a,b,t,1e-6)}function m(a,b){return i(a,b,u,1e-6)}function n(a){return h(a,t,1e-6)}function o(a){return h(a,u,1e-6)}function p(b){var c=b.map(function(b){return new a.vpsc.Variable(b.cx())}),d=a.vpsc.generateXConstraints(b,c),e=new a.vpsc.Solver(c,d);e.solve(),c.forEach(function(a,c){return b[c].setXCentre(a.position())}),c=b.map(function(b){return new a.vpsc.Variable(b.cy())}),d=a.vpsc.generateYConstraints(b,c),e=new a.vpsc.Solver(c,d),e.solve(),c.forEach(function(a,c){return b[c].setYCentre(a.position())})}b.computeGroupBounds=c;var q=function(){function a(a,b,c,d){this.x=a,this.X=b,this.y=c,this.Y=d}return a.empty=function(){return new a(Number.POSITIVE_INFINITY,Number.NEGATIVE_INFINITY,Number.POSITIVE_INFINITY,Number.NEGATIVE_INFINITY)},a.prototype.cx=function(){return(this.x+this.X)/2},a.prototype.cy=function(){return(this.y+this.Y)/2},a.prototype.overlapX=function(a){var b=this.cx(),c=a.cx();return c>=b&&a.x<this.X?this.X-a.x:b>=c&&this.x<a.X?a.X-this.x:0},a.prototype.overlapY=function(a){var b=this.cy(),c=a.cy();return c>=b&&a.y<this.Y?this.Y-a.y:b>=c&&this.y<a.Y?a.Y-this.y:0},a.prototype.setXCentre=function(a){var b=a-this.cx();this.x+=b,this.X+=b},a.prototype.setYCentre=function(a){var b=a-this.cy();this.y+=b,this.Y+=b},a.prototype.width=function(){return this.X-this.x},a.prototype.height=function(){return this.Y-this.y},a.prototype.union=function(b){return new a(Math.min(this.x,b.x),Math.max(this.X,b.X),Math.min(this.y,b.y),Math.max(this.Y,b.Y))},a.prototype.lineIntersections=function(b,c,d,e){for(var f=[[this.x,this.y,this.X,this.y],[this.X,this.y,this.X,this.Y],[this.X,this.Y,this.x,this.Y],[this.x,this.Y,this.x,this.y]],g=[],h=0;4>h;++h){var i=a.lineIntersection(b,c,d,e,f[h][0],f[h][1],f[h][2],f[h][3]);null!==i&&g.push({x:i.x,y:i.y})}return g},a.prototype.rayIntersection=function(a,b){var c=this.lineIntersections(this.cx(),this.cy(),a,b);return c.length>0?c[0]:null},a.prototype.vertices=function(){return[{x:this.x,y:this.y},{x:this.X,y:this.y},{x:this.X,y:this.Y},{x:this.x,y:this.Y},{x:this.x,y:this.y}]},a.lineIntersection=function(a,b,c,d,e,f,g,h){var i=c-a,j=g-e,k=d-b,l=h-f,m=l*i-j*k;if(0==m)return null;var n=a-e,o=b-f,p=j*o-l*n,q=p/m,r=i*o-k*n,s=r/m;return q>=0&&1>=q&&s>=0&&1>=s?{x:a+q*i,y:b+q*k}:null},a.prototype.inflate=function(b){return new 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