parents={};var pq=new PriorityQueue;var v;function updateNeighbors(edge){var w=edge.v===v?edge.w:edge.v;var pri=pq.priority(w);if(pri!==undefined){var edgeWeight=weightFunc(edge);if(edgeWeight<pri){parents[w]=v;pq.decrease(w,edgeWeight)}}}if(g.nodeCount()===0){return result}g.nodes().forEach(function(v){pq.add(v,Number.POSITIVE_INFINITY);result.setNode(v)});
// Start from an arbitrary node
pq.decrease(g.nodes()[0],0);var init=false;while(pq.size()>0){v=pq.removeMin();if(Object.hasOwn(parents,v)){result.setEdge(v,parents[v])}else if(init){throw new Error("Input graph is not connected: "+g)}else{init=true}g.nodeEdges(v).forEach(updateNeighbors)}return result}},{"../data/priority-queue":15,"../graph":16}],13:[function(require,module,exports){module.exports=tarjan;function tarjan(g){var index=0;var stack=[];var visited={};// node id -> { onStack, lowlink, index }
var results=[];function dfs(v){var entry=visited[v]={onStack:true,lowlink:index,index:index++};stack.push(v);g.successors(v).forEach(function(w){if(!Object.hasOwn(visited,w)){dfs(w);entry.lowlink=Math.min(entry.lowlink,visited[w].lowlink)}else if(visited[w].onStack){entry.lowlink=Math.min(entry.lowlink,visited[w].index)}});if(entry.lowlink===entry.index){var cmpt=[];var w;do{w=stack.pop();visited[w].onStack=false;cmpt.push(w)}while(v!==w);results.push(cmpt)}}g.nodes().forEach(function(v){if(!Object.hasOwn(visited,v)){dfs(v)}});return results}},{}],14:[function(require,module,exports){function topsort(g){var visited={};var stack={};var results=[];function visit(node){if(Object.hasOwn(stack,node)){throw new CycleException}if(!Object.hasOwn(visited,node)){stack[node]=true;visited[node]=true;g.predecessors(node).forEach(visit);delete stack[node];results.push(node)}}g.sinks().forEach(visit);if(Object.keys(visited).length!==g.nodeCount()){throw new CycleException}return results}class CycleException extends Error{constructor(){super(...arguments)}}module.exports=topsort;topsort.CycleException=CycleException},{}],15:[function(require,module,exports){
/**
 * A min-priority queue data structure. This algorithm is derived from Cormen,
 * et al., "Introduction to Algorithms". The basic idea of a min-priority
 * queue is that you can efficiently (in O(1) time) get the smallest key in
 * the queue. Adding and removing elements takes O(log n) time. A key can
 * have its priority decreased in O(log n) time.
 */
class PriorityQueue{_arr=[];_keyIndices={};
/**
   * Returns the number of elements in the queue. Takes `O(1)` time.
   */size(){return this._arr.length}
/**
   * Returns the keys that are in the queue. Takes `O(n)` time.
   */keys(){return this._arr.map(function(x){return x.key})}
/**
   * Returns `true` if **key** is in the queue and `false` if not.
   */has(key){return Object.hasOwn(this._keyIndices,key)}
/**
   * Returns the priority for **key**. If **key** is not present in the queue
   * then this function returns `undefined`. Takes `O(1)` time.
   *
   * @param {Object} key
   */priority(key){var index=this._keyIndices[key];if(index!==undefined){return this._arr[index].priority}}
/**
   * Returns the key for the minimum element in this queue. If the queue is
   * empty this function throws an Error. Takes `O(1)` time.
   */min(){if(this.size()===0){throw new Error("Queue underflow")}return this._arr[0].key}
/**
   * Inserts a new key into the priority queue. If the key already exists in
   * the queue this function returns `false`; otherwise it will return `true`.
   * Takes `O(n)` time.
   *
   * @param {Object} key the key to add
   * @param {Number} priority the initial priority for the key
   */add(key,priority){var keyIndices=this._keyIndices;key=String(key);if(!Object.hasOwn(keyIndices,key)){var arr=this._arr;var index=arr.length;keyIndices[key]=index;arr.push({key:key,priority:priority});this._decrease(index);return true}return false}
/**
   * Removes and returns the smallest key in the queue. Takes `O(log n)` time.
   */removeMin(){this._swap(0,this._arr.length-1);var min=this._arr.pop();delete this._keyIndices[min.key];this._heapify(0);return min.key}
/**
   * Decreases the priority for **key** to **priority**. If the new priority is
   * greater than the previous priority, this function will throw an Error.
   *
   * @param {Object} key the key for which to raise priority
   * @param {Number} priority the new priority for the key
   */decrease(key,priority){var index=this._keyIndices[key];if(priority>this._arr[index].priority){throw new Error("New priority is greater than current priority. "+"Key: "+key+" Old: "+this._arr[index].priority+" New: "+priority)}this._arr[index].priority=priority;this._decrease(index)}_heapify(i){var arr=this._arr;var l=2*i;var r=l+1;var largest=i;if(l<arr.length){largest=arr[l].priority<arr[largest].priority?l:largest;if(r<arr.length){largest=arr[r].priority<arr[largest].priority?r:largest}if(largest!==i){this._swap(i,largest);this._heapify(largest)}}}_decrease(index){var arr=this._arr;var priority=arr[index].priority;var parent;while(index!==0){parent=index>>1;if(arr[parent].priority<priority){break}this._swap(index,parent);index=parent}}_swap(i,j){var arr=this._arr;var keyIndices=this._keyIndices;var origArrI=arr[i];var origArrJ=arr[j];arr[i]=origArrJ;arr[j]=origArrI;keyIndices[origArrJ.key]=i;keyIndices[origArrI.key]=j}}module.exports=PriorityQueue},{}],16:[function(require,module,exports){"use strict";var DEFAULT_EDGE_NAME="\0";var GRAPH_NODE="\0";var EDGE_KEY_DELIM="