## Flipkart Interview Question for SDE-2s

Country: United States

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``````import numpy as np

(ni, nj) = (3,3)
js = np.ones([ni, nj], dtype = 'int')
k = 3
start = (0,0)
destination = (0, nj - 1)

def calculate_descendants(current, k, ni, nj):
for i in range(max(current[0] - k, 0), min(current[0] + k, ni) + 1):
for j in range(current[1], min(current[1] + k, nj) + 1):
if abs(i - current[0]) + abs(j - current[1]) == k:
yield (i, j)

def minimum_path(start, destination, js, ni, nj):
current = start
discovered = [current]
processed = list()
parent = {current: None}
done = False
while discovered != [] and not done:
current = discovered.pop(0)
processed.append(current)
for descendant in calculate_descendants(current, js[current[0], current[1]], ni - 1, nj - 1):
if descendant not in processed:
discovered.append(descendant)
parent[descendant] = current
if descendant == destination:
done = True
if done:
current = destination
path = [current]
while parent[current] != None:
current = parent[current]
path.insert(0, [current])
print path
else:
print "path not found"

minimum_path(start, destination, js, ni, nj)``````

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Could you please explain the logic?

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please tell me for that situation can dx or dy be negative as it'll follow dx+dy=k,
i.e dy will be more than k and dx will negative of difference of dy and k.

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Imagine the graph where the vertices are the stones and the edges connect two stones that we can jump. Perform breadth first search, until you hit the destination point.

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