Software Engineer

You have been given an undirected, connected graph of ‘V’ vertices (labelled from 0 to V-1) and ‘E’ edges. Each edge connecting two nodes 'u' and 'v' has a weight denoting the distance between them.

Your task is to find the shortest path distance from the source node 'S' to all the vertices. You have to return a list of integers denoting the shortest distance between each vertex and source vertex 'S'.

Note:

1. There are no self-loops(an edge connecting the vertex to itself) in the given graph.

2. There are no parallel edges i.e no two vertices are directly connected by more than 1 edge.

For Example:

Input:
4 5
0 1 5
0 2 8
1 2 9
1 3 2
2 3 6

The source node is node 0.

The shortest distance from node 0 to node 0 is 0.

The shortest distance from node 0 to node 1 is 5. In the above figure, the green path represents this distance. The path goes from node 0->1, giving distance = 5.

The shortest distance from node 0 to node 2 is 8. In the above figure, the pink path represents this distance. The path goes from node 0->2, giving distance = 8.

The shortest distance from node 0 to node 3 is 7. In the above figure, the yellow path represents this distance. The path goes from node 0->1->3, giving distance = 7.

Ninja has a number ‘N’. He wants to print the pattern in such a way that the outer rectangle is of the number ‘N’ and the number goes on decreasing as we move inside the rectangles.

For example, if ‘N’ = 4, then pattern will be:

4 4 4 4 4 4 4 
4 3 3 3 3 3 4 
4 3 2 2 2 3 4 
4 3 2 1 2 3 4 
4 3 2 2 2 3 4 
4 3 3 3 3 3 4 
4 4 4 4 4 4 4 

You are given 'N' rectangular buildings in a 2-dimensional city. Your task is to compute the skyline of these buildings, eliminating hidden lines return the skyline formed by these buildings collectively. A city's skyline is the outer contour of the silhouette formed by all the buildings in that city when viewed from a distance. The geometric information of each building is given in the array of buildings where BUILDINGS[i] = [LEFT_i, RIGHT_i, HEIGHT_i]:

-> LEFT_i is the x coordinate of the left edge of the ith building.

-> RIGHT_i is the x coordinate of the right edge of the ith building.

-> HEIGHT_i is the height of the ith building.

You may assume all buildings are perfect rectangles grounded on an absolutely flat surface at height 0.

The skyline should be represented as a list of "key points" sorted by their x-coordinate in the form [[x1, y1], [x2, y2], ...]. Each key point is the left endpoint of some horizontal segment in the skyline except the last point in the list, which always has a y-coordinate 0 and is used to mark the skyline's termination where the rightmost building ends. Any ground between the leftmost and rightmost buildings should be part of the skyline's contour.

Note:

There must be no consecutive horizontal lines of equal height in the output skyline. For instance, [...,[2 3], [4 5], [7 5], [11 5], [12 7],...] is not acceptable; the three lines of height 5 should be merged into one in the final output.

As such: [..., [2 3], [4 5], [12 7],...]. 

Also, the buildings are sorted by a non-decreasing order.

For more clarification see sample case 1.