From fed5ae317e5cf042d87537fc02d9ccaaf6e6022a Mon Sep 17 00:00:00 2001
From: Harish1604 <144940633+Harish1604@users.noreply.github.com>
Date: Mon, 23 Dec 2024 21:09:06 +0530
Subject: [PATCH 1/2] Written complete Tarjan's Algorithm in GO language

---
 non_linear/graphs/TarjanAlgorithm.go | 98 ++++++++++++++++++++++++++++
 1 file changed, 98 insertions(+)
 create mode 100644 non_linear/graphs/TarjanAlgorithm.go

diff --git a/non_linear/graphs/TarjanAlgorithm.go b/non_linear/graphs/TarjanAlgorithm.go
new file mode 100644
index 0000000..fdf466b
--- /dev/null
+++ b/non_linear/graphs/TarjanAlgorithm.go
@@ -0,0 +1,98 @@
+package main
+
+import "fmt"
+
+type Graph struct {
+	vertices int
+	adjList  map[int][]int
+}
+
+func NewGraph(vertices int) *Graph {
+	return &Graph{
+		vertices: vertices,
+		adjList:  make(map[int][]int),
+	}
+}
+
+func (g *Graph) AddEdge(v, w int) {
+	g.adjList[v] = append(g.adjList[v], w)
+}
+
+func (g *Graph) TarjanSCC() [][]int {
+	index := 0
+	indices := make([]int, g.vertices)
+	lowLink := make([]int, g.vertices)
+	onStack := make([]bool, g.vertices)
+	stack := []int{}
+	result := [][]int{}
+
+	for i := 0; i < g.vertices; i++ {
+		indices[i] = -1
+	}
+
+	var strongConnect func(v int)
+	strongConnect = func(v int) {
+		indices[v] = index
+		lowLink[v] = index
+		index++
+		stack = append(stack, v)
+		onStack[v] = true
+
+		for _, w := range g.adjList[v] {
+			if indices[w] == -1 {
+				strongConnect(w)
+				lowLink[v] = min(lowLink[v], lowLink[w])
+			} else if onStack[w] {
+				lowLink[v] = min(lowLink[v], indices[w])
+			}
+		}
+
+		if lowLink[v] == indices[v] {
+			scc := []int{}
+			for {
+				w := stack[len(stack)-1]
+				stack = stack[:len(stack)-1]
+				onStack[w] = false
+				scc = append(scc, w)
+				if w == v {
+					break
+				}
+			}
+			result = append(result, scc)
+		}
+	}
+
+	for i := 0; i < g.vertices; i++ {
+		if indices[i] == -1 {
+			strongConnect(i)
+		}
+	}
+
+	return result
+}
+
+func min(a, b int) int {
+	if a < b {
+		return a
+	}
+	return b
+}
+
+func main() {
+	g := NewGraph(8)
+	g.AddEdge(0, 1)
+	g.AddEdge(1, 2)
+	g.AddEdge(2, 0)
+	g.AddEdge(3, 4)
+	g.AddEdge(4, 5)
+	g.AddEdge(5, 3)
+	g.AddEdge(6, 4)
+	g.AddEdge(6, 7)
+	g.AddEdge(7, 6)
+
+	fmt.Println("Strongly Connected Components:")
+	sccs := g.TarjanSCC()
+	for i, scc := range sccs {
+		fmt.Printf("SCC %d: %v\n", i+1, scc)
+	}
+}

From 5c29bc31894aac122ec51850dfa4aa3987840d47 Mon Sep 17 00:00:00 2001
From: Harish1604 <144940633+Harish1604@users.noreply.github.com>
Date: Tue, 24 Dec 2024 20:54:01 +0530
Subject: [PATCH 2/2] Coded radix tree implementation in go lang, clearly

---
 non_linear/trie/radix_tree.go | 97 +++++++++++++++++++++++++++++++++++
 1 file changed, 97 insertions(+)
 create mode 100644 non_linear/trie/radix_tree.go

diff --git a/non_linear/trie/radix_tree.go b/non_linear/trie/radix_tree.go
new file mode 100644
index 0000000..3c45a02
--- /dev/null
+++ b/non_linear/trie/radix_tree.go
@@ -0,0 +1,97 @@
+package radixtree
+type Node struct {
+	Key rune
+	Children map[rune]*Node
+	IsComplete bool
+}
+
+
+func NewNode(key rune) *Node {
+	return &Node{
+		Key: key,
+		Children: make(map[rune]*Node),
+	}
+}
+
+
+func (n *Node) AddChild(key rune, isComplete bool) *Node {
+	child, exists := n.Children[key]
+	if !exists {
+		child = NewNode(key)
+		n.Children[key] = child
+	}
+	if isComplete {
+		child.IsComplete = true
+	}
+	return child
+}
+
+
+func (n *Node) GetChild(key rune) *Node {
+	return n.Children[key]
+}
+
+
+func (n *Node) RemoveChild(key rune) {
+	delete(n.Children, key)
+}
+type RadixTree struct {
+	Head *Node
+}
+
+
+func NewRadixTree() *RadixTree {
+	return &RadixTree{
+		Head: NewNode('*'),
+	}
+}
+
+
+func (t *RadixTree) Insert(word string) {
+	currentNode := t.Head
+	for i, char := range word {
+		isComplete := i == len(word)-1
+		currentNode = currentNode.AddChild(char, isComplete)
+	}
+}
+
+
+func (t *RadixTree) Delete(word string) {
+	var depthFirstDelete func(currentNode *Node, index int)
+	depthFirstDelete = func(currentNode *Node, index int) {
+		if index >= len(word) {
+			return
+		}
+		char := rune(word[index])
+		nextNode := currentNode.GetChild(char)
+		if nextNode == nil {
+			return
+		}
+		depthFirstDelete(nextNode, index+1)
+		if index == len(word)-1 {
+			nextNode.IsComplete = false
+		}
+		if len(nextNode.Children) == 0 && !nextNode.IsComplete {
+			currentNode.RemoveChild(char)
+		}
+	}
+	depthFirstDelete(t.Head, 0)
+}
+
+
+func (t *RadixTree) Find(word string) bool {
+	node := t.getLastCharacterNode(word)
+	return node != nil && node.IsComplete
+}
+
+
+func (t *RadixTree) getLastCharacterNode(word string) *Node {
+	currentNode := t.Head
+	for _, char := range word {
+		currentNode = currentNode.GetChild(char)
+		if currentNode == nil {
+			return nil
+		}
+	}
+	return currentNode
+}