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  2. Closest pair of points problem - Wikipedia

    en.wikipedia.org/wiki/Closest_pair_of_points_problem

    Select pairs of points uniformly at random, with replacement, and let be the minimum distance of the selected pairs. Round the input points to a square grid of points whose size (the separation between adjacent grid points) is d {\displaystyle d} , and use a hash table to collect together pairs of input points that round to the same grid point.

  3. Change-making problem - Wikipedia

    en.wikipedia.org/wiki/Change-making_problem

    The following is a dynamic programming implementation (with Python 3) which uses a matrix to keep track of the optimal solutions to sub-problems, and returns the minimum number of coins, or "Infinity" if there is no way to make change with the coins given. A second matrix may be used to obtain the set of coins for the optimal solution.

  4. Stable marriage problem - Wikipedia

    en.wikipedia.org/wiki/Stable_marriage_problem

    In general, there may be many different stable matchings. For example, suppose there are three men (A,B,C) and three women (X,Y,Z) which have preferences of: A: YXZ B: ZYX C: XZY X: BAC Y: CBA Z: ACB. There are three stable solutions to this matching arrangement: men get their first choice and women their third - (AY, BZ, CX);

  5. Knapsack problem - Wikipedia

    en.wikipedia.org/wiki/Knapsack_problem

    (If we only need the value m[n,W], we can modify the code so that the amount of memory required is O(W) which stores the recent two lines of the array "m".) However, if we take it a step or two further, we should know that the method will run in the time between O ( n W ) {\displaystyle O(nW)} and O ( 2 n ) {\displaystyle O(2^{n})} .

  6. Stable roommates problem - Wikipedia

    en.wikipedia.org/wiki/Stable_roommates_problem

    Otherwise, the algorithm enters Phase 2. A rotation in a stable table T is defined as a sequence (x 0, y 0), (x 1, y 1), ..., (x k-1, y k-1) such that the x i are distinct, y i is first on x i 's reduced list (or x i is last on y i 's reduced list) and y i+1 is second on x i 's reduced list, for i = 0, ..., k-1 where the indices are taken ...

  7. LeetCode - Wikipedia

    en.wikipedia.org/wiki/LeetCode

    LeetCode LLC, doing business as LeetCode, is an online platform for coding interview preparation. The platform provides coding and algorithmic problems intended for users to practice coding . [ 1 ] LeetCode has gained popularity among job seekers in the software industry and coding enthusiasts as a resource for technical interviews and coding ...

  8. Matrix chain multiplication - Wikipedia

    en.wikipedia.org/wiki/Matrix_chain_multiplication

    An algorithm created independently by Chin [9] and Hu & Shing [10] runs in O(n) and produces a parenthesization which is at most 15.47% worse than the optimal choice. In most cases the algorithm yields the optimal solution or a solution which is only 1-2 percent worse than the optimal one. [5]

  9. Dynamic programming - Wikipedia

    en.wikipedia.org/wiki/Dynamic_programming

    If the solution to any problem can be formulated recursively using the solution to its sub-problems, and if its sub-problems are overlapping, then one can easily memoize or store the solutions to the sub-problems in a table (often an array or hashtable in practice). Whenever we attempt to solve a new sub-problem, we first check the table to see ...