hasPathProblem.txt

has path
Write a function, hasPath, that takes in an object representing the adjacency list of a directed acyclic graph and two nodes (src, dst). The function should return a boolean indicating whether or not there exists a directed path between the source and destination nodes.

test_00:
const graph = {
  f: ['g', 'i'],
  g: ['h'],
  h: [],
  i: ['g', 'k'],
  j: ['i'],
  k: []
};
hasPath(graph, 'f', 'k'); // true

test_01:
const graph = {
  f: ['g', 'i'],
  g: ['h'],
  h: [],
  i: ['g', 'k'],
  j: ['i'],
  k: []
};
hasPath(graph, 'f', 'j'); // false

test_02:
const graph = {
  f: ['g', 'i'],
  g: ['h'],
  h: [],
  i: ['g', 'k'],
  j: ['i'],
  k: []
};
hasPath(graph, 'i', 'h'); // true

test_03:
const graph = {
  v: ['x', 'w'],
  w: [],
  x: [],
  y: ['z'],
  z: [],  
};
hasPath(graph, 'v', 'w'); // true

test_04:
const graph = {
  v: ['x', 'w'],
  w: [],
  x: [],
  y: ['z'],
  z: [],  
};
hasPath(graph, 'v', 'z'); // false