Brian Buller
42d8211402
Since that's what they actually want, even though the exercise says it's a tree
303 lines
7.1 KiB
Go
303 lines
7.1 KiB
Go
package pov
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import (
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"fmt"
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"reflect"
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"sort"
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"testing"
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)
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const targetTestVersion = 2
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// POV / reparent / change root of a tree
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//
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// API:
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// type Graph
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// func New() *Graph
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// func (*Graph) AddNode(nodeLabel string)
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// func (*Graph) AddArc(from, to string)
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// func (*Graph) ArcList() []string
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// func (*Graph) ChangeRoot(oldRoot, newRoot string) *Graph
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//
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// The type name is Graph because you'll probably be implementing a general
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// directed graph representation, although the test program will only use
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// it to create a tree. The term "arc" is used here to mean a directed edge.
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//
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// The test program will create a graph with New, then use AddNode to add
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// leaf nodes. After that it will use AddArc to construct the rest of the tree
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// from the bottom up. That is, the `to` argument will aways specify a node
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// that has already been added.
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//
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// ArcList is a dump method to let the test program see your graph. It must
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// return a list of all arcs in the graph. Format each arc as a single string
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// like "from -> to". The test program can then easily sort the list and
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// compare it to an expected result. You do not need to bother with sorting
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// the list yourself.
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//
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// All this graph construction and dumping must be working before you start
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// on the interesting part of the exercise, so it is tested separately as
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// a first test.
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//
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// API function ChangeRoot does the interesting part of the exercise.
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// OldRoot is passed (as a convenience) and you must return a graph with
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// newRoot as the root. You can modify the original graph in place and
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// return it or create a new graph and return that. If you return a new
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// graph you are free to consume or destroy the original graph. Of course
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// it's nice to leave it unmodified.
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type arc struct{ fr, to string }
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type testCase struct {
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description string
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leaves []string
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arcPairs []arc
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root string
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arcStrings []string
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reRooted []string
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}
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var testCases = []testCase{
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{
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description: "singleton",
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leaves: []string{"x"},
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arcPairs: nil,
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root: "x",
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arcStrings: nil,
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reRooted: nil,
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},
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{
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description: "simple tree",
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leaves: []string{"sibling", "x"},
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arcPairs: []arc{
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{"parent", "sibling"},
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{"parent", "x"},
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},
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root: "parent",
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arcStrings: []string{
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"parent -> sibling",
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"parent -> x",
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},
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reRooted: []string{
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"parent -> sibling",
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"x -> parent",
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},
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},
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{
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description: "large flat",
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leaves: []string{"sib-a", "sib-b", "x", "sib-c", "sib-d"},
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arcPairs: []arc{
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{"parent", "sib-a"},
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{"parent", "sib-b"},
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{"parent", "x"},
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{"parent", "sib-c"},
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{"parent", "sib-d"},
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},
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root: "parent",
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arcStrings: []string{
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"parent -> sib-a",
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"parent -> sib-b",
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"parent -> sib-c",
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"parent -> sib-d",
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"parent -> x",
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},
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reRooted: []string{
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"parent -> sib-a",
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"parent -> sib-b",
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"parent -> sib-c",
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"parent -> sib-d",
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"x -> parent",
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},
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},
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{
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description: "deeply nested",
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leaves: []string{"x"},
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arcPairs: []arc{
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{"level-4", "x"},
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{"level-3", "level-4"},
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{"level-2", "level-3"},
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{"level-1", "level-2"},
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{"level-0", "level-1"},
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},
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root: "level-0",
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arcStrings: []string{
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"level-0 -> level-1",
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"level-1 -> level-2",
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"level-2 -> level-3",
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"level-3 -> level-4",
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"level-4 -> x",
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},
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reRooted: []string{
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"level-1 -> level-0",
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"level-2 -> level-1",
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"level-3 -> level-2",
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"level-4 -> level-3",
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"x -> level-4",
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},
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},
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{
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description: "cousins",
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leaves: []string{"sib-1", "x", "sib-2", "cousin-1", "cousin-2"},
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arcPairs: []arc{
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{"parent", "sib-1"},
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{"parent", "x"},
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{"parent", "sib-2"},
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{"aunt", "cousin-1"},
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{"aunt", "cousin-2"},
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{"grand-parent", "parent"},
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{"grand-parent", "aunt"},
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},
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root: "grand-parent",
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arcStrings: []string{
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"aunt -> cousin-1",
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"aunt -> cousin-2",
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"grand-parent -> aunt",
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"grand-parent -> parent",
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"parent -> sib-1",
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"parent -> sib-2",
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"parent -> x",
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},
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reRooted: []string{
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"aunt -> cousin-1",
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"aunt -> cousin-2",
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"grand-parent -> aunt",
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"parent -> grand-parent",
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"parent -> sib-1",
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"parent -> sib-2",
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"x -> parent",
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},
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},
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{
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description: "target with children",
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leaves: []string{"child-1", "child-2", "nephew", "niece",
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"2nd-cousin-1", "2nd-cousin-2", "2nd-cousin-3", "2nd-cousin-4"},
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arcPairs: []arc{
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{"x", "child-1"},
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{"x", "child-2"},
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{"sibling", "nephew"},
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{"sibling", "niece"},
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{"cousin-1", "2nd-cousin-1"},
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{"cousin-1", "2nd-cousin-2"},
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{"cousin-2", "2nd-cousin-3"},
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{"cousin-2", "2nd-cousin-4"},
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{"parent", "x"},
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{"parent", "sibling"},
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{"aunt", "cousin-1"},
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{"aunt", "cousin-2"},
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{"grand-parent", "parent"},
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{"grand-parent", "aunt"},
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},
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root: "grand-parent",
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arcStrings: []string{
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"aunt -> cousin-1",
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"aunt -> cousin-2",
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"cousin-1 -> 2nd-cousin-1",
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"cousin-1 -> 2nd-cousin-2",
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"cousin-2 -> 2nd-cousin-3",
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"cousin-2 -> 2nd-cousin-4",
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"grand-parent -> aunt",
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"grand-parent -> parent",
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"parent -> sibling",
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"parent -> x",
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"sibling -> nephew",
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"sibling -> niece",
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"x -> child-1",
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"x -> child-2",
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},
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reRooted: []string{
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"aunt -> cousin-1",
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"aunt -> cousin-2",
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"cousin-1 -> 2nd-cousin-1",
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"cousin-1 -> 2nd-cousin-2",
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"cousin-2 -> 2nd-cousin-3",
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"cousin-2 -> 2nd-cousin-4",
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"grand-parent -> aunt",
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"parent -> grand-parent",
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"parent -> sibling",
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"sibling -> nephew",
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"sibling -> niece",
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"x -> child-1",
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"x -> child-2",
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"x -> parent",
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},
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},
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}
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func (tc testCase) graph() *Graph {
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g := New()
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for _, l := range tc.leaves {
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g.AddNode(l)
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}
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for _, a := range tc.arcPairs {
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g.AddArc(a.fr, a.to)
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}
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return g
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}
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func (tc testCase) testResult(got, want []string, msg string, t *testing.T) {
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if len(got)+len(want) == 0 {
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return
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}
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gs := append([]string{}, got...)
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sort.Strings(gs)
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if reflect.DeepEqual(gs, want) {
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return
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}
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// test has failed
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t.Log(tc.description, "test case")
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t.Log(msg)
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t.Logf("got %d arcs:", len(got))
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for _, s := range got {
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t.Log(" ", s)
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}
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t.Logf("that result sorted:")
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for _, s := range gs {
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t.Log(" ", s)
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}
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t.Logf("want %d arcs:", len(want))
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for _, s := range want {
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t.Log(" ", s)
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}
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t.FailNow()
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}
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func TestTestVersion(t *testing.T) {
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if testVersion != targetTestVersion {
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t.Fatalf("Found testVersion = %v, want %v", testVersion, targetTestVersion)
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}
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}
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func TestConstruction(t *testing.T) {
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fmt.Println("TestConstruction")
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for _, tc := range testCases {
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fmt.Println("Starting test:", tc.description)
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got := tc.graph().ArcList()
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want := tc.arcStrings
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tc.testResult(got, want, "incorrect graph construction", t)
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fmt.Println(" Test Passed:", tc.description)
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}
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}
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func TestChangeRoot(t *testing.T) {
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for _, tc := range testCases {
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got := tc.graph().ChangeRoot(tc.root, "x").ArcList()
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want := tc.reRooted
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tc.testResult(got, want, "incorrect root change", t)
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}
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}
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func BenchmarkConstructOnlyNoChange(b *testing.B) {
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for i := 0; i < b.N; i++ {
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for _, tc := range testCases {
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tc.graph()
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}
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}
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}
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func BenchmarkConstructAndChangeRoot(b *testing.B) {
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for i := 0; i < b.N; i++ {
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for _, tc := range testCases {
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tc.graph().ChangeRoot(tc.root, "x")
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}
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}
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}
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