OpenSoure_Repos/TheAlgorithms-C-Plus-Plus
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Sushil Kumar 2020-08-23 15:49:52 +05:30 committed by GitHub
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search/median_search.cpp
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@ -4,7 +4,7 @@
* @cases from [here](https://brilliant.org/wiki/median-finding-algorithm/) * @cases from [here](https://brilliant.org/wiki/median-finding-algorithm/)
* *
* @details * @details
* Given an array A[1,...,n] of n numbers and an index idx, where 1≤idx≤ n, find the i-th smallest element of A. * Given an array A[1,...,n] of n numbers and an index i, where 1 ≤ i ≤ n, find the i-th smallest element of A.
* median_of_medians(A, i): * median_of_medians(A, i):
* #divide A into sublists of len 5 * #divide A into sublists of len 5
* sublists = [A[j:j+5] for j in range(0, len(A), 5)] * sublists = [A[j:j+5] for j in range(0, len(A), 5)]
@ -107,12 +107,12 @@ int median_of_medians(const std::vector<int>& A, const int& idx) {
void test(){ void test(){
std::vector<int> A{25,21,98,100,76,22,43,60,89,87}; std::vector<int> A{25,21,98,100,76,22,43,60,89,87};
int i = 3; int i = 3;
assert(A[6] == search::median_search::median_of_medians(A, i)); // A[6] = 43, is the fourth smallest element. assert(A[6] == search::median_search::median_of_medians(A, i)); // A[6] = 43, is the fourth smallest element.
std::cout << "test case:1 passed\n"; std::cout << "test case:1 passed\n";
std::vector<int> B{1,2,3,4,5,6}; std::vector<int> B{1,2,3,4,5,6};
int j = 4; int j = 4;
assert(B[4] == search::median_search::median_of_medians(B, j)); // B[4] = 5, is the fifth smallest element. assert(B[4] == search::median_search::median_of_medians(B, j)); // B[4] = 5, is the fifth smallest element.
std::cout << "test case:2 passed\n"; std::cout << "test case:2 passed\n";
std::vector<int> C{1,2,3,4,5,1000,8,9,99}; std::vector<int> C{1,2,3,4,5,1000,8,9,99};