From a6b11d5dbefad2a7b5acc67ea47eee326ca1ed67 Mon Sep 17 00:00:00 2001 From: nazizmari <135509102+nazizmari@users.noreply.github.com> Date: Wed, 26 Jul 2023 22:24:46 +0330 Subject: [PATCH 1/5] Create Trie --- trees/Trie | 173 +++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 173 insertions(+) create mode 100644 trees/Trie diff --git a/trees/Trie b/trees/Trie new file mode 100644 index 00000000..d8da605e --- /dev/null +++ b/trees/Trie @@ -0,0 +1,173 @@ +//Node represent each character + +type Node struct { + +//this is a single letter stored for example letter a,b,c,d,etc + +Char string + + +//store all children of a node + +//that is from a-z + +//a slice of Nodes(and each child will also have 26 children) + +Children [26]*Node + +} + + +/// NewNode this will be used to initialize a new node with 26 children + +///each child should first be initialized to nil + +func NewNode(char string) *Node { + +node := &Node{Char: char} + +for i := 0; i < 26; i++ { + +node.Children[i] = nil + +} + +return node + +} + + + + + + +// Trie is our actual tree that will hold all of our nodes + +//the Root node will be nil + +type Trie struct { + +RootNode *Node + +} + + +// NewTrie Creates a new trie with a root('constructor') + +func NewTrie() *Trie { + +//we will not use this node so + + +//it can be anything + +root := NewNode("\000") + +return &Trie{RootNode: root}} + + + + + + + + +//Insert inserts a word to the trie + +func (t *Trie) Insert(word string) error { + +///this will keep track of our current node + +///when transversing our tree + +///it should always start at the top of our tree + +///i.e our root + +current := t.RootNode + +///remove all spaces from the word + +///and convert it to lowercase + +strippedWord :=  + + +strings.ToLower(strings.ReplaceAll(word, " ", "")) + +for i := 0; i < len(strippedWord); i++ { + +//from the ascii table a represent decimal number 97 + +//from the ascii table b represent decimal number 98 + +//from the ascii table c represent decimal number 99 + +/// and so on so basically if we were to say 98-97=1 which means the index of b is 1 and for c is 99-97 + +///that what is happening below (we are taking the decimal representation of a character and subtracting decimal representation of a) + +index := strippedWord[i] - 'a' + +///check if current already has a node created at our current node + +//if not create the node + +if current.Children[index] == nil { + +current.Children[index] =  + + +NewNode(string(strippedWord[i])) + +} + +current = current.Children[index] + +//since we want to support autocomplete + +} + +return nil + +} + + + + + + + +// SearchWord will return false if a word we  + +//are searching for is not in the trie + +//and true otherwise + +func (t *Trie) SearchWord(word string) bool { + + +strippedWord := strings.ToLower(strings.ReplaceAll(word, " ", "")) + +current := t.RootNode + +for i := 0; i < len(strippedWord); i++ { + +index := strippedWord[i] - 'a' + +//we have encountered null in the path we were transversing meaning this is the last node + +///that means this word is not indexed(present) in this trie + +if current == nil || current.Children[index] == nil { + +return false + +} + +} + +return true + +} + From 05c95fdbf187b10889f5bcfe8c76fb302df282be Mon Sep 17 00:00:00 2001 From: nazizmari <135509102+nazizmari@users.noreply.github.com> Date: Wed, 26 Jul 2023 22:25:13 +0330 Subject: [PATCH 2/5] Delete Trie --- trees/Trie | 173 ----------------------------------------------------- 1 file changed, 173 deletions(-) delete mode 100644 trees/Trie diff --git a/trees/Trie b/trees/Trie deleted file mode 100644 index d8da605e..00000000 --- a/trees/Trie +++ /dev/null @@ -1,173 +0,0 @@ -//Node represent each character - -type Node struct { - -//this is a single letter stored for example letter a,b,c,d,etc - -Char string - - -//store all children of a node - -//that is from a-z - -//a slice of Nodes(and each child will also have 26 children) - -Children [26]*Node - -} - - -/// NewNode this will be used to initialize a new node with 26 children - -///each child should first be initialized to nil - -func NewNode(char string) *Node { - -node := &Node{Char: char} - -for i := 0; i < 26; i++ { - -node.Children[i] = nil - -} - -return node - -} - - - - - - -// Trie is our actual tree that will hold all of our nodes - -//the Root node will be nil - -type Trie struct { - -RootNode *Node - -} - - -// NewTrie Creates a new trie with a root('constructor') - -func NewTrie() *Trie { - -//we will not use this node so - - -//it can be anything - -root := NewNode("\000") - -return &Trie{RootNode: root}} - - - - - - - - -//Insert inserts a word to the trie - -func (t *Trie) Insert(word string) error { - -///this will keep track of our current node - -///when transversing our tree - -///it should always start at the top of our tree - -///i.e our root - -current := t.RootNode - -///remove all spaces from the word - -///and convert it to lowercase - -strippedWord :=  - - -strings.ToLower(strings.ReplaceAll(word, " ", "")) - -for i := 0; i < len(strippedWord); i++ { - -//from the ascii table a represent decimal number 97 - -//from the ascii table b represent decimal number 98 - -//from the ascii table c represent decimal number 99 - -/// and so on so basically if we were to say 98-97=1 which means the index of b is 1 and for c is 99-97 - -///that what is happening below (we are taking the decimal representation of a character and subtracting decimal representation of a) - -index := strippedWord[i] - 'a' - -///check if current already has a node created at our current node - -//if not create the node - -if current.Children[index] == nil { - -current.Children[index] =  - - -NewNode(string(strippedWord[i])) - -} - -current = current.Children[index] - -//since we want to support autocomplete - -} - -return nil - -} - - - - - - - -// SearchWord will return false if a word we  - -//are searching for is not in the trie - -//and true otherwise - -func (t *Trie) SearchWord(word string) bool { - - -strippedWord := strings.ToLower(strings.ReplaceAll(word, " ", "")) - -current := t.RootNode - -for i := 0; i < len(strippedWord); i++ { - -index := strippedWord[i] - 'a' - -//we have encountered null in the path we were transversing meaning this is the last node - -///that means this word is not indexed(present) in this trie - -if current == nil || current.Children[index] == nil { - -return false - -} - -} - -return true - -} - From 3ea3da2e714cf568aec5d045490b5a2eeb6c6aae Mon Sep 17 00:00:00 2001 From: nazizmari <135509102+nazizmari@users.noreply.github.com> Date: Wed, 26 Jul 2023 22:25:48 +0330 Subject: [PATCH 3/5] Create Trie.js --- trees/Trie.js | 172 ++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 172 insertions(+) create mode 100644 trees/Trie.js diff --git a/trees/Trie.js b/trees/Trie.js new file mode 100644 index 00000000..d5f99a1b --- /dev/null +++ b/trees/Trie.js @@ -0,0 +1,172 @@ +//Node represent each character + +type Node struct { + +//this is a single letter stored for example letter a,b,c,d,etc + +Char string + + +//store all children of a node + +//that is from a-z + +//a slice of Nodes(and each child will also have 26 children) + +Children [26]*Node + +} + + +/// NewNode this will be used to initialize a new node with 26 children + +///each child should first be initialized to nil + +func NewNode(char string) *Node { + +node := &Node{Char: char} + +for i := 0; i < 26; i++ { + +node.Children[i] = nil + +} + +return node + +} + + + + + + +// Trie is our actual tree that will hold all of our nodes + +//the Root node will be nil + +type Trie struct { + +RootNode *Node + +} + + +// NewTrie Creates a new trie with a root('constructor') + +func NewTrie() *Trie { + +//we will not use this node so + + +//it can be anything + +root := NewNode("\000") + +return &Trie{RootNode: root}} + + + + + + + + +//Insert inserts a word to the trie + +func (t *Trie) Insert(word string) error { + +///this will keep track of our current node + +///when transversing our tree + +///it should always start at the top of our tree + +///i.e our root + +current := t.RootNode + +///remove all spaces from the word + +///and convert it to lowercase + +strippedWord :=  + + +strings.ToLower(strings.ReplaceAll(word, " ", "")) + +for i := 0; i < len(strippedWord); i++ { + +//from the ascii table a represent decimal number 97 + +//from the ascii table b represent decimal number 98 + +//from the ascii table c represent decimal number 99 + +/// and so on so basically if we were to say 98-97=1 which means the index of b is 1 and for c is 99-97 + +///that what is happening below (we are taking the decimal representation of a character and subtracting decimal representation of a) + +index := strippedWord[i] - 'a' + +///check if current already has a node created at our current node + +//if not create the node + +if current.Children[index] == nil { + +current.Children[index] =  + + +NewNode(string(strippedWord[i])) + +} + +current = current.Children[index] + +//since we want to support autocomplete + +} + +return nil + +} + + + + + + + +// SearchWord will return false if a word we  + +//are searching for is not in the trie + +//and true otherwise + +func (t *Trie) SearchWord(word string) bool { + + +strippedWord := strings.ToLower(strings.ReplaceAll(word, " ", "")) + +current := t.RootNode + +for i := 0; i < len(strippedWord); i++ { + +index := strippedWord[i] - 'a' + +//we have encountered null in the path we were transversing meaning this is the last node + +///that means this word is not indexed(present) in this trie + +if current == nil || current.Children[index] == nil { + +return false + +} + +} + +return true + +} From 5c7990f34ae54b197a167b206b72a5273c3d2792 Mon Sep 17 00:00:00 2001 From: nazizmari <135509102+nazizmari@users.noreply.github.com> Date: Wed, 26 Jul 2023 22:27:02 +0330 Subject: [PATCH 4/5] Create Segment tree.js --- trees/Segment tree.js | 379 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 379 insertions(+) create mode 100644 trees/Segment tree.js diff --git a/trees/Segment tree.js b/trees/Segment tree.js new file mode 100644 index 00000000..39d22e97 --- /dev/null +++ b/trees/Segment tree.js @@ -0,0 +1,379 @@ +package main + + +import ( + +"bufio" + +"fmt" + +"os" + +"strconv" + +"strings" + +) + + +type SegmentTreeData struct { + +prefix int + +suffix int + +best   int + +total  int + +} + + +func createData(value int) SegmentTreeData { + +return SegmentTreeData{ + + +prefix: value, + +suffix: value, + +best:   value, + +total:  value, + +} + +} + + +func merge(left, right SegmentTreeData) SegmentTreeData { + +total := left.total + right.total + +prefix := max(left.prefix, left.total+right.prefix) + +suffix := max(right.suffix, right.total+left.suffix) + +best := max( + +left.best, + +right.best, + +prefix, + +suffix, + +left.suffix+right.prefix, + +) + + +return SegmentTreeData{ + +prefix, + +suffix, + +best, + +total, + +} + +} + + +type SegmentTree struct { + +n    int + +data []SegmentTreeData + +} + + +func Build(arr []int) *SegmentTree { + +n := len(arr) + +length := n * 4 + +data := make([]SegmentTreeData, length) + +tree := &SegmentTree{ + +n, + +data, + +} + +tree.build(arr, 1, 1, n) + + + +return tree + +} + + +func (tree *SegmentTree) build(arr []int, index int, left int, right int) { + +if left > right { + +return + +} else if left == right { + +tree.data[index] = createData(arr[left-1]) + +} else { + +middle := (left + right) / 2 + + +tree.build(arr, index*2, left, middle) + +tree.build(arr, index*2+1, middle+1, right) + +tree.data[index] = merge(tree.data[index*2], tree.data[index*2+1]) + +} + +} + + +func (tree *SegmentTree) Update(x, y int) { + + +tree.update(1, 1, tree.n, x, y) + +} + + +func (tree *SegmentTree) update(index int, left int, right int, updateIndex int, updateValue int) { + +if left > right || left > updateIndex || right < updateIndex { + +return + +} else if left == right { + +tree.data[index] = createData(updateValue) + +} else { + +middle := (left + right) / 2 + + +tree.update(index*2, left, middle, updateIndex, updateValue) + +tree.update(index*2+1, middle+1, right, updateIndex, updateValue) + +tree.data[index] = merge(tree.data[index*2], tree.data[index*2+1]) + + +} + +} + + +func (tree *SegmentTree) Find(x, y int) int { + +return tree.find(1, 1, tree.n, x, y).best + +} + + +func (tree *SegmentTree) find(index int, left int, right int, findLeft int, findRight int) SegmentTreeData { + +if left == findLeft && right == findRight { + +return tree.data[index] + +} else { + +middle := (left + right) / 2 + + +if findRight <= middle { + +return tree.find(index*2, left, middle, findLeft, findRight) + +} else if findLeft > middle { + +return tree.find(index*2+1, middle+1, right, findLeft, findRight) + +} else { + + +leftResult := tree.find(index*2, left, middle, findLeft, min(middle, findRight)) + +rightResult := tree.find(index*2+1, middle+1, right, max(findLeft, middle+1), findRight) + +mergedResult := merge(leftResult, rightResult) + +return mergedResult + +} + +} + +} + + +func max(x int, rest ...int) int { + +mx := x + + +for _, value := range rest { + +if mx < value { + +mx = value + +} + +} + + +return mx + + +} + + +func min(x int, rest ...int) int { + +mn := x + + +for _, value := range rest { + +if mn > value { + +mn = value + +} + +} + + +return mn + +} + + +var reader *bufio.Reader = bufio.NewReader(os.Stdin) + +var writer *bufio.Writer = bufio.NewWriter(os.Stdout) + + +func readInt() int { + +var value int + +fmt.Fscanf(reader, "%d\n", &value) + + + +return value + +} + + +func writeInt(value int) { + +fmt.Fprintln(writer, value) + +} + + +func readArray(n int) []int { + +line, err := reader.ReadString('\n') + +if err != nil { + +panic(err) + +} + + +stringArray := strings.Split(strings.TrimSpace(line), " ") + +if len(stringArray) != n { + +panic(fmt.Errorf("Expected input array to be of size %d, but was %d", n, len(stringArray))) + +} + + +arr := make([]int, n) + +for i := 0; i < n; i++ { + +value, err := strconv.Atoi(stringArray[i]) + +if err != nil { + +panic(err) + +} + + +arr[i] = value + +} + + +return arr + +} + + +func main() { + +defer writer.Flush() + + +n := readInt() + +arr := readArray(n) + +tree := Build(arr) + + +m := readInt() + +for i := 0; i < m; i++ { + + +query := readArray(3) + +t := query[0] + +x := query[1] + +y := query[2] + + +if t == 0 { + +tree.Update(x, y) + +} else { + +value := tree.Find(x, y) + +writeInt(value) + +} + +} + +} + From e9bfd68575b3c071f6097eaba9931ce227ba6ca0 Mon Sep 17 00:00:00 2001 From: nazizmari <135509102+nazizmari@users.noreply.github.com> Date: Wed, 26 Jul 2023 22:31:05 +0330 Subject: [PATCH 5/5] Add files via upload --- ...ree datastructure golang_230724_022210.docx | Bin 0 -> 344695 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 trees/Interval tree datastructure golang_230724_022210.docx diff --git 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