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t5ans - CS3230 Tutorial 5 1 Give an algorithm which finds...

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CS3230 Tutorial 5 1. Give an algorithm which finds the distance between closest pair of points, when all the points lie on a straight line (though not necessarily all on the x axis). Try to make the algorithm simpler than the one done in class. Ans: (A) Sort the points based on x -coordinate (as long as the points are not on a line perpen- dicular to x axis). (B) Find distances between adjacent points in the above sorted order, and report the shortest distance among these. In case the points are on a line perpendicular to x axis, then sort them based on y axis, and do (B) above. 2. Suppose we are sorting an array consisting of integers 0. Explain how one may mod- ify the inputs (in linear time) so that any sorting algorithm becomes a stable sorting algorithm. Your modification of the numbers should be such that one can easily obtain the original numbers back from the modification. Ans: (A) Suppose there are n integers in the array A .
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