CareerCup

Given an Array A with n elements. Pick maximum number of elements from given array following the rule:
1. We cannot pick A[i] and A[j] if absolute value of (A[i] - A[j]) > absolute value of (i - j)

Example: {13,5,4}
Ans: 2
Pick 5 and 4.

A frequent traveller collects all his travel tickets.
A ticket has only 2 attributes, Start Journey Location name and Destination Name. Example from Delhi to Mumbai.
At the end of the year, the traveller gets all his tickets together and tries to map his journey across the year. Print his travel route in a readable format. He does not remember his start location.
Edit: he can visit a location multiple times, and can also go back and forth a place several times.

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Problem statement: You are given a maze with N cells. Each cell may have multiple entry points but not more than one exit (ie. entry/exit points are unidirectional doors like valves). The cells are named with an integer value from 0 to N-1. You need to find the following :

Nearest meeting cell: Given any two cells - C1,C2, find the closest cell Cm that can be reached from both C1 and C2.

Note: Aim for O(Log(N)) solution.

INPUT FORMAT - First line has the number of cells N

Second line has list of N values of the edge[] array. edge[i] contains the cell number that can be reached from of cell ‘i’ in one step. edge[i] is -1 if the ‘i’th cell doesn’t have an exit.

Third line contains two cell numbers whose nearest meeting cell needs to be found. (return -1 if there is no meeting cell from the two given cells) .

OUTPUT FORMAT - Find nearest meeting cell (NMC).

Problem statement: You are given a maze with N cells. Each cell may have multiple entry points but not more than one exit (ie. entry/exit points are unidirectional doors like valves). The cells are named with an integer value from 0 to N-1. You need to find the following :

find Maximum number of entry points (incoming edges) for any cell in the maze

Note: Aim for O(N) solution.

INPUT FORMAT - First line has the number of cells N

Second line has list of N values of the edge[] array. edge[i] contains the cell number that can be reached from of cell ‘i’ in one step. edge[i] is -1 if the ‘i’th cell doesn’t have an exit.

OUTPUT FORMAT - Find max entry points in any cell.