Syncing Up

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2016-09-09 11:24:29 -05:00
parent 148fad68a9
commit 2f99878b09
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# Binary Search Tree
Write a program that inserts numbers and searches in a binary tree.
When we need to represent sorted data, an array does not make a good
data structure.
Say we have the array `[1, 3, 4, 5]`, and we add 2 to it so it becomes
`[1, 3, 4, 5, 2]` now we must sort the entire array again! We can
improve on this by realizing that we only need to make space for the new
item `[1, nil, 3, 4, 5]`, and then adding the item in the space we
added. But this still requires us to shift many elements down by one.
Binary Search Trees, however, can operate on sorted data much more
efficiently.
A binary search tree consists of a series of connected nodes. Each node
contains a piece of data (e.g. the number 3), a variable named `left`,
and a variable named `right`. The `left` and `right` variables point at
`nil`, or other nodes. Since these other nodes in turn have other nodes
beneath them, we say that the left and right variables are pointing at
subtrees. All data in the left subtree is less than or equal to the
current node's data, and all data in the right subtree is greater than
the current node's data.
For example, if we had a node containing the data 4, and we added the
data 2, our tree would look like this:
4
/
2
If we then added 6, it would look like this:
4
/ \
2 6
If we then added 3, it would look like this
4
/ \
2 6
\
3
And if we then added 1, 5, and 7, it would look like this
4
/ \
/ \
2 6
/ \ / \
1 3 5 7
To run the tests simply run the command `go test` in the exercise directory.
If the test suite contains benchmarks, you can run these with the `-bench`
flag:
go test -bench .
For more detailed info about the Go track see the [help
page](http://exercism.io/languages/go).
## Source
Josh Cheek [https://twitter.com/josh_cheek](https://twitter.com/josh_cheek)
## Submitting Incomplete Problems
It's possible to submit an incomplete solution so you can see how others have completed the exercise.

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package binarysearchtree
// SearchTreeData is a Binary Search Tree node
type SearchTreeData struct {
data int
left *SearchTreeData
right *SearchTreeData
}
// Bst creates a node from an int
func Bst(n int) *SearchTreeData {
return &SearchTreeData{data: n}
}
// Insert finds the correct location for a new node and inserts it there.
func (s *SearchTreeData) Insert(n int) *SearchTreeData {
if s == nil {
return Bst(n)
}
if s.data < n {
s.right = s.right.Insert(n)
} else {
s.left = s.left.Insert(n)
}
return s
}
// MapString maps a function to every node in the search tree and returns
// the []string result of it.
func (s *SearchTreeData) MapString(f func(int) string) []string {
var ret []string
if s != nil {
ret = append(ret, s.left.MapString(f)...)
ret = append(ret, f(s.data))
ret = append(ret, s.right.MapString(f)...)
}
return ret
}
// MapInt maps a function to every node in the search tree and returns
// the []int result of it.
func (s *SearchTreeData) MapInt(f func(int) int) []int {
var ret []int
if s != nil {
ret = append(ret, s.left.MapInt(f)...)
ret = append(ret, f(s.data))
ret = append(ret, s.right.MapInt(f)...)
}
return ret
}

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// API:
//
// type SearchTreeData struct {
// left *SearchTreeData
// data int
// right *SearchTreeData
// }
//
// func Bst(int) *SearchTreeData
// func (*SearchTreeData) Insert(int)
// func (*SearchTreeData) MapString(func(int) string) []string
// func (*SearchTreeData) MapInt(func(int) int) []int
package binarysearchtree
import (
"reflect"
"strconv"
"testing"
)
func TestDataIsRetained(t *testing.T) {
actual := Bst(4).data
expected := 4
if actual != expected {
t.Errorf("Bst(4).data: %d, want %d.", actual, expected)
}
}
func TestInsertingLess(t *testing.T) {
bst := SearchTreeData{data: 4}
bst.Insert(2)
actual := bst.data
expected := 4
if actual != expected {
t.Errorf("bst.data: %d, want %d.", actual, expected)
}
actual = bst.left.data
expected = 2
if actual != expected {
t.Errorf("bst.left.data: %d, want %d.", actual, expected)
}
}
func TestInsertingSame(t *testing.T) {
bst := SearchTreeData{data: 4}
bst.Insert(4)
actual := bst.data
expected := 4
if actual != expected {
t.Errorf("bst.data: %d, want %d.", actual, expected)
}
actual = bst.left.data
expected = 4
if actual != expected {
t.Errorf("bst.left.data: %d, want %d.", actual, expected)
}
}
func TestInsertingMore(t *testing.T) {
bst := SearchTreeData{data: 4}
bst.Insert(5)
actual := bst.data
expected := 4
if actual != expected {
t.Errorf("bst.data: %d, want %d.", actual, expected)
}
actual = bst.right.data
expected = 5
if actual != expected {
t.Errorf("bst.data: %d, want %d.", actual, expected)
}
}
func TestComplexTree(t *testing.T) {
bst := SearchTreeData{data: 4}
bst.Insert(2)
bst.Insert(6)
bst.Insert(1)
bst.Insert(3)
bst.Insert(7)
bst.Insert(5)
actual := bst.data
expected := 4
if actual != expected {
t.Errorf("bst.data: %d, want %d.", actual, expected)
}
actual = bst.left.data
expected = 2
if actual != expected {
t.Errorf("bst.left.data: %d, want %d.", actual, expected)
}
actual = bst.left.left.data
expected = 1
if actual != expected {
t.Errorf("bst.left.left.data: %d, want %d.", actual, expected)
}
actual = bst.left.right.data
expected = 3
if actual != expected {
t.Errorf("bst.left.right.data: %d, want %d.", actual, expected)
}
actual = bst.right.data
expected = 6
if actual != expected {
t.Errorf("bst.right.data: %d, want %d", actual, expected)
}
actual = bst.right.left.data
expected = 5
if actual != expected {
t.Errorf("bst.right.left.data: %d, want %d", actual, expected)
}
actual = bst.right.right.data
expected = 7
if actual != expected {
t.Errorf("bst.right.right.data: %d, want %d", actual, expected)
}
}
func TestMapStringWithOneElement(t *testing.T) {
bst := SearchTreeData{data: 4}
actual := bst.MapString(strconv.Itoa)
expected := []string{"4"}
if !reflect.DeepEqual(actual, expected) {
t.Errorf("bst.MapString(): %q, want %q.", actual, expected)
}
}
func TestMapStringWithSmallElement(t *testing.T) {
bst := SearchTreeData{data: 4}
bst.Insert(2)
actual := bst.MapString(strconv.Itoa)
expected := []string{"2", "4"}
if !reflect.DeepEqual(actual, expected) {
t.Errorf("bst.MapString(): %q, want %q.", actual, expected)
}
}
func TestMapStringWithLargeElement(t *testing.T) {
bst := SearchTreeData{data: 4}
bst.Insert(5)
actual := bst.MapString(strconv.Itoa)
expected := []string{"4", "5"}
if !reflect.DeepEqual(actual, expected) {
t.Errorf("bst.MapString(): %q, want %q.", actual, expected)
}
}
func TestMapStringWithComplexStructure(t *testing.T) {
bst := SearchTreeData{data: 4}
bst.Insert(2)
bst.Insert(1)
bst.Insert(3)
bst.Insert(6)
bst.Insert(7)
bst.Insert(5)
actual := bst.MapString(strconv.Itoa)
expected := []string{"1", "2", "3", "4", "5", "6", "7"}
if !reflect.DeepEqual(actual, expected) {
t.Errorf("bst.MapString(): %q, want %q.", actual, expected)
}
}
func TestMapIntWithComplexStructure(t *testing.T) {
bst := SearchTreeData{data: 4}
bst.Insert(2)
bst.Insert(1)
bst.Insert(3)
bst.Insert(6)
bst.Insert(7)
bst.Insert(5)
f := func(i int) int {
return i
}
actual := bst.MapInt(f)
expected := []int{1, 2, 3, 4, 5, 6, 7}
if !reflect.DeepEqual(actual, expected) {
t.Errorf("bst.MapString(): %v, want %v.", actual, expected)
}
}