Iterative Deepening Search(IDS) or Iterative Deepening Depth First Search(IDDFS)

// C++ program to search if a target node is reachable from
// a source with given max depth.
#include<bits/stdc++.h>
using namespace std;

// Graph class represents a directed graph using adjacency
// list representation.
class Graph
{
	int V; // No. of vertices

	// Pointer to an array containing
	// adjacency lists
	list<int> *adj;

	// A function used by IDDFS
	bool DLS(int v, int target, int limit);

public:
	Graph(int V); // Constructor
	void addEdge(int v, int w);

	// IDDFS traversal of the vertices reachable from v
	bool IDDFS(int v, int target, int max_depth);
};

Graph::Graph(int V)
{
	this->V = V;
	adj = new list<int>[V];
}

void Graph::addEdge(int v, int w)
{
	adj[v].push_back(w); // Add w to v’s list.
}

// A function to perform a Depth-Limited search
// from given source 'src'
bool Graph::DLS(int src, int target, int limit)
{
	if (src == target)
		return true;

	// If reached the maximum depth, stop recursing.
	if (limit <= 0)
		return false;

	// Recur for all the vertices adjacent to source vertex
	for (auto i = adj[src].begin(); i != adj[src].end(); ++i)
	if (DLS(*i, target, limit-1) == true)
		return true;

	return false;
}

// IDDFS to search if target is reachable from v.
// It uses recursive DFSUtil().
bool Graph::IDDFS(int src, int target, int max_depth)
{
	// Repeatedly depth-limit search till the
	// maximum depth.
	for (int i = 0; i <= max_depth; i++)
	if (DLS(src, target, i) == true)
		return true;

	return false;
}