Build bridge on spintires maps
Step 1 –Sort the input at north position of bridge. The main optimization lies in the fact that smallest element have higher chance of contributing in LIS. Note – Longest Increasing subsequence can be done in O(NlogN) using Patience sort. Step -3 As per north side is sorted therefore it is increasing and if we apply LIS on south side then we will able to get the non-overlapping bridges. Step -2 Let we take north side and sort the element with respect to their position. Step -1 Initially let the one side be north of the bridge and other side be south of the bridge. Note – This is the variation/Application of Longest Increasing Subsequence (LIS). \ \ because more than one bridge built will \ \ but then only one bridge can be built The values in the upper bank can be considered as the northern x-coordinates of the cities and the values in the bottom bank can be considered as the corresponding southern x-coordinates of the cities to which the northern x-coordinate city can be connected.Įxplanation: Let the north-south x-coordinates Maximum number of bridges that can be built to connect north-south pairs with the aforementioned constraints. When connecting cities, you can only connect city a(i) on the northern bank to city b(i) on the southern bank. You want to connect as many north-south pairs of cities as possible with bridges such that no two bridges cross. There are n cities on the southern bank with x-coordinates a(1) … a(n) and n cities on the northern bank with x-coordinates b(1) … b(n).
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