From 52e57e3e7aedc4ae58b6a28d860eea931ef7bf49 Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Wed, 16 Dec 2020 02:36:29 +0000 Subject: [PATCH] Documentation for 1f5ca99571cb8a22224d7ebb6dc8f40078dfd1c2 --- d2/d26/count__inversions_8cpp.html | 553 ++++++++++++++++++ d2/d26/count__inversions_8cpp.js | 9 + ...332498eabf6579ef059c0d0e9f4ec80_cgraph.map | 3 + ...332498eabf6579ef059c0d0e9f4ec80_cgraph.md5 | 1 + ...332498eabf6579ef059c0d0e9f4ec80_cgraph.svg | 29 + ...8dca7b867074164d5f45b0f3851269d_cgraph.map | 5 + ...8dca7b867074164d5f45b0f3851269d_cgraph.md5 | 1 + ...8dca7b867074164d5f45b0f3851269d_cgraph.svg | 52 ++ ...66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map | 6 + ...66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 | 1 + ...66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg | 67 +++ ...97a486e14101c4822ea8dc47f0d1661_cgraph.map | 7 + ...97a486e14101c4822ea8dc47f0d1661_cgraph.md5 | 1 + ...97a486e14101c4822ea8dc47f0d1661_cgraph.svg | 83 +++ 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+
+ + + + + + +
+
Algorithms_in_C++ +  1.0.0 +
+
Set of algorithms implemented in C++.
+
+
+ + + + + + + +
+
+ +
+
+
+ +
+ +
+
+ + +
+ +
+ +
+
+Namespaces | +Functions
+
+
count_inversions.cpp File Reference
+
+
+ +

Counting Inversions using Merge Sort +More...

+
#include <cassert>
+#include <cstdint>
+#include <iostream>
+#include <vector>
+
+Include dependency graph for count_inversions.cpp:
+
+
+
+
+
+ + + + + + + +

+Namespaces

 sorting
 Sorting algorithms.
 
 inversion
 Functions for counting inversions using Merge Sort algorithm.
 
+ + + + + + + + + + + + + + + + + + + + + + + +

+Functions

template<typename T >
uint32_t sorting::inversion::merge (T *arr, T *temp, uint32_t left, uint32_t mid, uint32_t right)
 Function to merge two sub-arrays. More...
 
template<typename T >
uint32_t sorting::inversion::mergeSort (T *arr, T *temp, uint32_t left, uint32_t right)
 Implement merge Sort and count inverions while merging. More...
 
template<class T >
uint32_t sorting::inversion::countInversion (T *arr, const uint32_t size)
 Function countInversion() returns the number of inversion present in the input array. Inversions are an estimate of how close or far off the array is to being sorted. More...
 
template<typename T >
void sorting::inversion::show (T *arr, const uint32_t array_size)
 UTILITY function to print array. More...
 
static void test ()
 Test implementations. More...
 
int main ()
 Main function. More...
 
+

Detailed Description

+

Counting Inversions using Merge Sort

+

Program to count the number of inversions in an array using merge-sort.

+

The count of inversions help to determine how close the array is to be sorted in ASCENDING order.

+

two elements a[i] and a[j] form an inversion if a[i] > a[j] and i < j

+

Time Complexity --> O(n.log n)

+

Space Complexity --> O(n) ; additional array temp[1..n]

+

+Algorithm

+
    +
  1. The idea is similar to merge sort, divide the array into two equal or almost equal halves in each step until the base case is reached.
    2. +
  2. Create a function merge that counts the number of inversions when two halves of the array are merged, create two indices i and j, i is the index for first half and j is an index of the second half. if a[i] is greater than a[j], then there are (mid – i) inversions, Because left and right subarrays are sorted, so all the remaining elements in left-subarray (a[i+1], a[i+2] … a[mid]) will be greater than a[j].
    3. +
  3. Create a recursive function to divide the array into halves and find the answer by summing the number of inversions is the first half, number of inversion in the second half and the number of inversions by merging the two.
    4. +
  4. The base case of recursion is when there is only one element in the given half.
    5. +
  5. Print the answer
    6. +
+
Author
Rakshit Raj
+

Function Documentation

+ +

◆ countInversion()

+ +
+
+
+template<class T >
+ + + + + + + + + + + + + + + + + + +
uint32_t sorting::inversion::countInversion (T * arr,
const uint32_t size 
)
+
+ +

Function countInversion() returns the number of inversion present in the input array. Inversions are an estimate of how close or far off the array is to being sorted.

+

Number of inversions in a sorted array is 0. Number of inversion in an array[1...n] sorted in non-ascending order is n(n-1)/2, since each pair of elements contitute an inversion.

+
Parameters
+ + + +
arr- array, data member of std::vector<int>, input for counting inversions
array_size- number of elementa in the array
+
+
+
Returns
number of inversions in input array, sorts the array
+
164  {
+
165  std::vector<T> temp;
+
166  temp.reserve(size);
+
167  temp.assign(size, 0);
+
168  return mergeSort(arr, temp.data(), 0, size - 1);
+
169 }
+
+Here is the call graph for this function:
+
+
+
+
+ +
+
+ +

◆ main()

+ +
+
+ + + + + + + + +
int main (void )
+
+ +

Main function.

+
Returns
0 on exit
+
271  {
+
272  test(); // Run test implementations
+
273  // body(); // test your own array
+
274  return 0;
+
275 }
+
+Here is the call graph for this function:
+
+
+
+
+ +
+
+ +

◆ merge()

+ +
+
+
+template<typename T >
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
uint32_t sorting::inversion::merge (T * arr,
T * temp,
uint32_t left,
uint32_t mid,
uint32_t right 
)
+
+ +

Function to merge two sub-arrays.

+

merge() function is called from mergeSort() to merge the array after it split for sorting by the mergeSort() funtion.

+

In this case the merge fuction will also count and return inversions detected when merging the sub arrays.

+
Parameters
+ + + + + + +
arrinput array, data-menber of vector
tempstores the resultant merged array
leftlower bound of arr[] and left-sub-array
midmidpoint, upper bound of left sub-array, (mid+1) gives the lower bound of right-sub-array
rightupper bound of arr[] and right-sub-array
+
+
+
Returns
number of inversions found in merge step
+
85  {
+
86  uint32_t i = left; /* i --> index of left sub-array */
+
87  uint32_t j = mid + 1; /* j --> index for right sub-array */
+
88  uint32_t k = left; /* k --> index for resultant array temp */
+
89  uint32_t inv_count = 0; // inversion count
+
90 
+
91  while ((i <= mid) && (j <= right)) {
+
92  if (arr[i] <= arr[j]) {
+
93  temp[k++] = arr[i++];
+
94  } else {
+
95  temp[k++] = arr[j++];
+
96  inv_count +=
+
97  (mid - i +
+
98  1); // tricky; may vary depending on selection of sub-array
+
99  }
+
100  }
+
101  // Add remaining elements from the larger subarray to the end of temp
+
102  while (i <= mid) {
+
103  temp[k++] = arr[i++];
+
104  }
+
105  while (j <= right) {
+
106  temp[k++] = arr[j++];
+
107  }
+
108  // Copy temp[] to arr[]
+
109  for (k = left; k <= right; k++) {
+
110  arr[k] = temp[k];
+
111  }
+
112  return inv_count;
+
113 }
+
+
+
+ +

◆ mergeSort()

+ +
+
+
+template<typename T >
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
uint32_t sorting::inversion::mergeSort (T * arr,
T * temp,
uint32_t left,
uint32_t right 
)
+
+ +

Implement merge Sort and count inverions while merging.

+

The mergeSort() function implements Merge Sort, a Divide and conquer algorithm, it divides the input array into two halves and calls itself for each sub-array and then calls the merge() function to merge the two halves.

+
Parameters
+ + + + + +
arr- array to be sorted
temp- merged resultant array
left- lower bound of array
right- upper bound of array
+
+
+
Returns
number of inversions in array
+
132  {
+
133  uint32_t mid = 0, inv_count = 0;
+
134  if (right > left) {
+
135  // midpoint to split the array
+
136  mid = (right + left) / 2;
+
137  // Add inversions in left and right sub-arrays
+
138  inv_count += mergeSort(arr, temp, left, mid); // left sub-array
+
139  inv_count += mergeSort(arr, temp, mid + 1, right);
+
140 
+
141  // inversions in the merge step
+
142  inv_count += merge(arr, temp, left, mid, right);
+
143  }
+
144  return inv_count;
+
145 }
+
+Here is the call graph for this function:
+
+
+
+
+ +
+
+ +

◆ show()

+ +
+
+
+template<typename T >
+ + + + + + + + + + + + + + + + + + +
void sorting::inversion::show (T * arr,
const uint32_t array_size 
)
+
+ +

UTILITY function to print array.

+
Parameters
+ + + +
arr[]array to print
array_sizesize of input array arr[]
+
+
+
Returns
void
+
179  {
+
180  std::cout << "Printing array: \n";
+
181  for (uint32_t i = 0; i < array_size; i++) {
+
182  std::cout << " " << arr[i];
+
183  }
+
184  std::cout << "\n";
+
185 }
+
+
+
+ +

◆ test()

+ +
+
+ + + + + +
+ + + + + + + +
static void test ()
+ 		+static
+
+ +

Test implementations.

+
Returns
void
+
194  {
+
195  // Test 1
+
196  std::vector<uint64_t> arr1 = {
+
197  100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84,
+
198  83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67,
+
199  66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50,
+
200  49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33,
+
201  32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16,
+
202  15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
+
203  uint32_t size1 = arr1.size();
+
204  uint32_t inv_count1 = 4950;
+
205  uint32_t result1 = sorting::inversion::countInversion(arr1.data(), size1);
+
206  assert(inv_count1 == result1);
+
207  // Test 2
+
208  std::vector<int> arr2 = {22, 66, 75, 23, 11, 87, 2, 44, 98, 43};
+
209  uint32_t size2 = arr2.size();
+
210  uint32_t inv_count2 = 20;
+
211  uint32_t result2 = sorting::inversion::countInversion(arr2.data(), size2);
+
212  assert(inv_count2 == result2);
+
213  // Test 3
+
214  std::vector<double> arr3 = {33.1, 45.2, 65.4, 76.5, 1.0,
+
215  2.9, 5.4, 7.7, 88.9, 12.4};
+
216  uint32_t size3 = arr3.size();
+
217  uint32_t inv_count3 = 21;
+
218  uint32_t result3 = sorting::inversion::countInversion(arr3.data(), size3);
+
219  assert(inv_count3 == result3);
+
220  // Test 4
+
221  std::vector<char> arr4 = {'a', 'b', 'c', 'd', 'e'};
+
222  uint32_t size4 = arr4.size();
+
223  uint32_t inv_count4 = 0;
+
224  uint32_t result4 = sorting::inversion::countInversion(arr4.data(), size4);
+
225  assert(inv_count4 == result4);
+
226 }
+
+Here is the call graph for this function:
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+
std::vector::reserve
T reserve(T... args)
+
std::vector
STL class.
+
std::vector::size
T size(T... args)
+
mergeSort
void mergeSort(int *arr, int l, int r)
Definition: merge_sort.cpp:71
+
std::cout
+
merge
void merge(int *arr, int l, int m, int r)
Definition: merge_sort.cpp:33
+
std::left
T left(T... args)
+
test
static void test()
Test implementations.
Definition: count_inversions.cpp:194
+
std::vector::assign
T assign(T... args)
+
sorting::inversion::countInversion
uint32_t countInversion(T *arr, const uint32_t size)
Function countInversion() returns the number of inversion present in the input array....
Definition: count_inversions.cpp:164
+
std::vector::data
T data(T... args)
+ + + + diff --git a/d2/d26/count__inversions_8cpp.js b/d2/d26/count__inversions_8cpp.js new file mode 100644 index 000000000..2b5c0f272 --- /dev/null +++ b/d2/d26/count__inversions_8cpp.js @@ -0,0 +1,9 @@ +var count__inversions_8cpp = +[ + [ "countInversion", "d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80", null ], + [ "main", "d2/d26/count__inversions_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], + [ "merge", "d2/d26/count__inversions_8cpp.html#aad643c14734394e784a75169cb58132f", null ], + [ "mergeSort", "d2/d26/count__inversions_8cpp.html#ae97a486e14101c4822ea8dc47f0d1661", null ], + [ "show", "d2/d26/count__inversions_8cpp.html#a851ca6a0391d14fb49a97d55e4377497", null ], + [ "test", "d2/d26/count__inversions_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ] +]; \ No newline at end of file diff --git a/d2/d26/count__inversions_8cpp_a3332498eabf6579ef059c0d0e9f4ec80_cgraph.map b/d2/d26/count__inversions_8cpp_a3332498eabf6579ef059c0d0e9f4ec80_cgraph.map new file mode 100644 index 000000000..27b2911c3 --- /dev/null +++ b/d2/d26/count__inversions_8cpp_a3332498eabf6579ef059c0d0e9f4ec80_cgraph.map @@ -0,0 +1,3 @@ + + + diff --git a/d2/d26/count__inversions_8cpp_a3332498eabf6579ef059c0d0e9f4ec80_cgraph.md5 b/d2/d26/count__inversions_8cpp_a3332498eabf6579ef059c0d0e9f4ec80_cgraph.md5 new file mode 100644 index 000000000..4d561d4cf --- /dev/null +++ b/d2/d26/count__inversions_8cpp_a3332498eabf6579ef059c0d0e9f4ec80_cgraph.md5 @@ -0,0 +1 @@ +f4b1bb6547d2d09584402b0bcf92989f \ No newline at end of file diff --git a/d2/d26/count__inversions_8cpp_a3332498eabf6579ef059c0d0e9f4ec80_cgraph.svg b/d2/d26/count__inversions_8cpp_a3332498eabf6579ef059c0d0e9f4ec80_cgraph.svg new file mode 100644 index 000000000..774e8cf1b --- /dev/null +++ b/d2/d26/count__inversions_8cpp_a3332498eabf6579ef059c0d0e9f4ec80_cgraph.svg @@ -0,0 +1,29 @@ + + + + + + +sorting::inversion::countInversion + + + +Node1 + + +sorting::inversion +::countInversion + + + + + +Node1->Node1 + + + + + diff --git a/d2/d26/count__inversions_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map b/d2/d26/count__inversions_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map new file mode 100644 index 000000000..12e635e53 --- /dev/null +++ b/d2/d26/count__inversions_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map @@ -0,0 +1,5 @@ + + + + + diff --git a/d2/d26/count__inversions_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 b/d2/d26/count__inversions_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 new file mode 100644 index 000000000..25e600f11 --- /dev/null +++ b/d2/d26/count__inversions_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 @@ -0,0 +1 @@ +ddb90a5a78f0e401d8b16fca105b6791 \ No newline at end of file diff --git a/d2/d26/count__inversions_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg b/d2/d26/count__inversions_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg new file mode 100644 index 000000000..ed28fc1c6 --- /dev/null +++ b/d2/d26/count__inversions_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg @@ -0,0 +1,52 @@ + + + + + + +test + + + +Node1 + + +test + + + + + +Node2 + + +std::vector::data + + + + + +Node1->Node2 + + + + + +Node3 + + +std::vector::size + + + + + +Node1->Node3 + + + + + diff --git a/d2/d26/count__inversions_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/d2/d26/count__inversions_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map new file mode 100644 index 000000000..a0b489533 --- /dev/null +++ b/d2/d26/count__inversions_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -0,0 +1,6 @@ + + + + + + diff --git a/d2/d26/count__inversions_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/d2/d26/count__inversions_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 new file mode 100644 index 000000000..ebb99633d --- /dev/null +++ b/d2/d26/count__inversions_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -0,0 +1 @@ +1d6a6f7982c8130893fe3e831c75fef8 \ No newline at end of file diff --git a/d2/d26/count__inversions_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/d2/d26/count__inversions_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg new file mode 100644 index 000000000..54669f039 --- /dev/null +++ b/d2/d26/count__inversions_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -0,0 +1,67 @@ + + + + + + +main + + + +Node1 + + +main + + + + + +Node2 + + +test + + + + + +Node1->Node2 + + + + + +Node3 + + +std::vector::data + + + + + +Node2->Node3 + + + + + +Node4 + + +std::vector::size + + + + + +Node2->Node4 + + + + + diff --git a/d2/d26/count__inversions_8cpp_ae97a486e14101c4822ea8dc47f0d1661_cgraph.map b/d2/d26/count__inversions_8cpp_ae97a486e14101c4822ea8dc47f0d1661_cgraph.map new file mode 100644 index 000000000..a52fc676c --- /dev/null +++ b/d2/d26/count__inversions_8cpp_ae97a486e14101c4822ea8dc47f0d1661_cgraph.map @@ -0,0 +1,7 @@ + + + + + + + diff --git a/d2/d26/count__inversions_8cpp_ae97a486e14101c4822ea8dc47f0d1661_cgraph.md5 b/d2/d26/count__inversions_8cpp_ae97a486e14101c4822ea8dc47f0d1661_cgraph.md5 new file mode 100644 index 000000000..41266ce21 --- /dev/null +++ b/d2/d26/count__inversions_8cpp_ae97a486e14101c4822ea8dc47f0d1661_cgraph.md5 @@ -0,0 +1 @@ +5f4a2e9fee943e5cad1ba066050e900c \ No newline at end of file diff --git a/d2/d26/count__inversions_8cpp_ae97a486e14101c4822ea8dc47f0d1661_cgraph.svg b/d2/d26/count__inversions_8cpp_ae97a486e14101c4822ea8dc47f0d1661_cgraph.svg new file mode 100644 index 000000000..32215a92c --- /dev/null +++ b/d2/d26/count__inversions_8cpp_ae97a486e14101c4822ea8dc47f0d1661_cgraph.svg @@ -0,0 +1,83 @@ + + + + + + +sorting::inversion::mergeSort + + + +Node1 + + +sorting::inversion +::mergeSort + + + + + +Node2 + + +sorting::merge + + + + + +Node1->Node2 + + + + + +Node4 + + +mergeSort + + + + + +Node1->Node4 + + + + + +Node3 + + +std::move + + + + + +Node2->Node3 + + + + + +Node5 + + +merge + + + + + +Node4->Node5 + + + + + diff --git a/d3/d40/graph__coloring_8cpp.html b/d3/d40/graph__coloring_8cpp.html index 3c64fd881..2c3f16a7a 100644 --- a/d3/d40/graph__coloring_8cpp.html +++ b/d3/d40/graph__coloring_8cpp.html @@ -232,6 +232,7 @@ Functions
test_3
static void test_3()
Definition: heavy_light_decomposition.cpp:592
std::list::pop_front
T pop_front(T... args)
std::pair
+
std::vector::reserve
T reserve(T... args)
range_queries::heavy_light_decomposition::Tree
A Basic Tree, which supports binary lifting.
Definition: heavy_light_decomposition.cpp:78
range_queries::heavy_light_decomposition::SG::update
void update(int p, X v)
Update the value at a node.
Definition: heavy_light_decomposition.cpp:293
range_queries::heavy_light_decomposition::Tree::Tree
Tree(int nodes)
Class parameterized constructor, resizes the and initializes the data members.
Definition: heavy_light_decomposition.cpp:140
@@ -278,6 +279,7 @@ Functions
std::all_of
T all_of(T... args)
main
int main(void)
Definition: qr_decomposition.cpp:23
main
int main()
Definition: palindrome_of_number.cpp:19
+
main
int main()
Main function.
Definition: count_inversions.cpp:271
sorting
Sorting algorithms.
others::postfix_expression::is_number
bool is_number(const std::string &s)
Checks if scanned string is a number.
Definition: postfix_evaluation.cpp:65
main
int main()
Definition: vector_important_functions.cpp:11
@@ -326,6 +328,7 @@ Functions
sorting::radix_sort::radix
std::vector< uint64_t > radix(const std::vector< uint64_t > &ar)
Function to sort vector digit by digit.
Definition: radix_sort2.cpp:80
Point::y
int y
Point respect to x coordinate.
Definition: line_segment_intersection.cpp:14
qr_algorithm::eigen_values
std::valarray< double > eigen_values(std::valarray< std::valarray< double >> *A, bool print_intermediates=false)
Definition: qr_eigen_values.cpp:98
+
inversion
Functions for counting inversions using Merge Sort algorithm.
std::clock
T clock(T... args)
test
static void test()
Test implementations.
Definition: saddleback_search.cpp:70
string_search::recalculate_hash
int64_t recalculate_hash(const std::string &s, int old_index, int new_index, int64_t old_hash, int patLength)
Definition: rabin_karp.cpp:42
@@ -490,6 +493,7 @@ Functions
tests
void tests()
Definition: insertion_sort.cpp:109
range_queries::heavy_light_decomposition::HLD::query
X query(int a, int b)
This function returns the sum of node values in the simple path from from node_1 to node_2.
Definition: heavy_light_decomposition.cpp:489
LinearSearch
int LinearSearch(int *array, int size, int key)
Definition: linear_search.cpp:16
+
test
static void test()
Test implementations.
Definition: count_inversions.cpp:194
main
int main()
Main function.
Definition: cycle_sort.cpp:107
std::string::empty
T empty(T... args)
std::vector::assign
T assign(T... args)
@@ -507,6 +511,7 @@ Functions
main
int main()
Definition: interpolation_search.cpp:37
wiggle_sort
Functions for Wiggle Sort algorithm.
add
std::string add(std::string a, std::string b)
Definition: string_fibonacci.cpp:24
+
sorting::inversion::countInversion
uint32_t countInversion(T *arr, const uint32_t size)
Function countInversion() returns the number of inversion present in the input array....
Definition: count_inversions.cpp:164
std::make_pair
T make_pair(T... args)
std::time
T time(T... args)
main
int main()
Definition: addition_rule.cpp:30
@@ -550,7 +555,7 @@ Functions
radix_sort
Functions for Radix sort algorithm.
std::unordered_map
STL class.
std::numeric_limits
-
std::array::data
T data(T... args)
+
std::vector::data
T data(T... args)
string_search::getFailureArray
std::vector< int > getFailureArray(const std::string &pattern)
Definition: knuth_morris_pratt.cpp:33
show_pascal
void show_pascal(int **arr, int n)
Definition: pascal_triangle.cpp:18
string_search::rabin_karp
int rabin_karp(const std::string &str, const std::string &pat)
Definition: rabin_karp.cpp:83
diff --git a/d5/d88/md__d_i_r_e_c_t_o_r_y.html b/d5/d88/md__d_i_r_e_c_t_o_r_y.html index 3e88f36d5..d498554e5 100644 --- a/d5/d88/md__d_i_r_e_c_t_o_r_y.html +++ b/d5/d88/md__d_i_r_e_c_t_o_r_y.html @@ -389,6 +389,7 @@ Sorting
  • Bucket Sort
  • Cocktail Selection Sort
  • Comb Sort
    • +
  • Count Inversions
  • Counting Sort
  • Counting Sort String
  • Cycle Sort
    • diff --git a/d5/d91/namespacesorting.html b/d5/d91/namespacesorting.html index 75238a98a..6283011ef 100644 --- a/d5/d91/namespacesorting.html +++ b/d5/d91/namespacesorting.html @@ -165,6 +165,8 @@ Functions

    for io operations

    Sorting Algorithms.

    for std::vector

    +

    for assert for typedef datatype uint64_t for IO operations

    +

    Sorting algorithms

    for std::is_sorted, std::swap for assert for io operations

    Sorting algorithms

    Sorting algorithms

    diff --git a/d9/d13/namespaceinversion.html b/d9/d13/namespaceinversion.html new file mode 100644 index 000000000..50dfd286f --- /dev/null +++ b/d9/d13/namespaceinversion.html @@ -0,0 +1,112 @@ + + + + + + + +Algorithms_in_C++: inversion Namespace Reference + + + + + + + + + + + + + + + +
    +
    + + + + + + +
    +
    Algorithms_in_C++ +  1.0.0 +
    +
    Set of algorithms implemented in C++.
    +
    +
    + + + + + + + +
    +
    + +
    +
    +
    + +
    + +
    +
    + + +
    + +
    + +
    +
    +
    inversion Namespace Reference
    +
    +
    + +

    Functions for counting inversions using Merge Sort algorithm. +More...

    +

    Detailed Description

    +

    Functions for counting inversions using Merge Sort algorithm.

    +
    +
    + + + + diff --git a/db/d6c/count__inversions_8cpp__incl.map b/db/d6c/count__inversions_8cpp__incl.map new file mode 100644 index 000000000..b36f9b195 --- /dev/null +++ b/db/d6c/count__inversions_8cpp__incl.map @@ -0,0 +1,7 @@ + + + + + + + diff --git a/db/d6c/count__inversions_8cpp__incl.md5 b/db/d6c/count__inversions_8cpp__incl.md5 new file mode 100644 index 000000000..411f94740 --- /dev/null +++ b/db/d6c/count__inversions_8cpp__incl.md5 @@ -0,0 +1 @@ +d66a8ff44f835cc46c4ea0f133263b97 \ No newline at end of file diff --git a/db/d6c/count__inversions_8cpp__incl.svg b/db/d6c/count__inversions_8cpp__incl.svg new file mode 100644 index 000000000..e2a201d9a --- /dev/null +++ b/db/d6c/count__inversions_8cpp__incl.svg @@ -0,0 +1,82 @@ + + + + + + +sorting/count_inversions.cpp + + + +Node1 + + +sorting/count_inversions.cpp + + + + + +Node2 + + +cassert + + + + + +Node1->Node2 + + + + + +Node3 + + +cstdint + + + + + +Node1->Node3 + + + + + +Node4 + + +iostream + + + + + +Node1->Node4 + + + + + +Node5 + + +vector + + + + + +Node1->Node5 + + + + + diff --git a/dir_bb1b521853a9c46347182a9d10420771.html b/dir_bb1b521853a9c46347182a9d10420771.html index f5d50815f..73af5f183 100644 --- a/dir_bb1b521853a9c46347182a9d10420771.html +++ b/dir_bb1b521853a9c46347182a9d10420771.html @@ -106,6 +106,9 @@ Files file  comb_sort.cpp  Comb Sort Algorithm (Comb Sort)
      +file  count_inversions.cpp + Counting Inversions using Merge Sort
    +  file  cycle_sort.cpp  Implementation of Cycle sort algorithm.
      diff --git a/dir_bb1b521853a9c46347182a9d10420771.js b/dir_bb1b521853a9c46347182a9d10420771.js index 0370e675f..5947c00b3 100644 --- a/dir_bb1b521853a9c46347182a9d10420771.js +++ b/dir_bb1b521853a9c46347182a9d10420771.js @@ -3,6 +3,7 @@ var dir_bb1b521853a9c46347182a9d10420771 = [ "bogo_sort.cpp", "d5/ddb/bogo__sort_8cpp.html", "d5/ddb/bogo__sort_8cpp" ], [ "bubble_sort.cpp", "d8/d13/bubble__sort_8cpp.html", "d8/d13/bubble__sort_8cpp" ], [ "comb_sort.cpp", "d9/dfd/comb__sort_8cpp.html", "d9/dfd/comb__sort_8cpp" ], + [ "count_inversions.cpp", "d2/d26/count__inversions_8cpp.html", "d2/d26/count__inversions_8cpp" ], [ "cycle_sort.cpp", "de/d07/cycle__sort_8cpp.html", "de/d07/cycle__sort_8cpp" ], [ "gnome_sort.cpp", "d2/d21/gnome__sort_8cpp.html", "d2/d21/gnome__sort_8cpp" ], [ "heap_sort.cpp", "d2/d52/heap__sort_8cpp.html", "d2/d52/heap__sort_8cpp" ], diff --git a/files.html b/files.html index 8097843c2..ba78a7521 100644 --- a/files.html +++ b/files.html @@ -273,21 +273,22 @@ solve-a-rat-in-a-maze-c-java-pytho/">Rat in a Maze algorithm  bogo_sort.cppImplementation of Bogosort algorithm  bubble_sort.cppBubble sort algorithm  comb_sort.cppComb Sort Algorithm (Comb Sort) - cycle_sort.cppImplementation of Cycle sort algorithm - gnome_sort.cppImplementation of gnome sort algorithm - heap_sort.cppHeap Sort Algorithm (heap sort) implementation - insertion_sort.cppInsertion Sort Algorithm (Insertion Sort) - merge_insertion_sort.cppAlgorithm that combines insertion sort and merge sort. Wiki link - merge_sort.cppMerege Sort Algorithm (MEREGE SORT) implementation - non_recursive_merge_sort.cpp - pancake_sort.cppPancake sort sorts a disordered stack of pancakes by flipping any number of pancakes using a spatula using minimum number of flips - pigeonhole_sort.cppImplementation of Pigeonhole Sort algorithm - quick_sort.cppQuick sort algorithm - quick_sort_3.cppImplementation Details - radix_sort2.cppAlgorithm of Radix sort - shell_sort2.cppShell sort algorithm - strand_sort.cppImplementation of Strand Sort algorithm - wiggle_sort.cppWiggle Sort Algorithm Implementation + count_inversions.cppCounting Inversions using Merge Sort + cycle_sort.cppImplementation of Cycle sort algorithm + gnome_sort.cppImplementation of gnome sort algorithm + heap_sort.cppHeap Sort Algorithm (heap sort) implementation + insertion_sort.cppInsertion Sort Algorithm (Insertion Sort) + merge_insertion_sort.cppAlgorithm that combines insertion sort and merge sort. Wiki link + merge_sort.cppMerege Sort Algorithm (MEREGE SORT) implementation + non_recursive_merge_sort.cpp + pancake_sort.cppPancake sort sorts a disordered stack of pancakes by flipping any number of pancakes using a spatula using minimum number of flips + pigeonhole_sort.cppImplementation of Pigeonhole Sort algorithm + quick_sort.cppQuick sort algorithm + quick_sort_3.cppImplementation Details + radix_sort2.cppAlgorithm of Radix sort + shell_sort2.cppShell sort algorithm + strand_sort.cppImplementation of Strand Sort algorithm + wiggle_sort.cppWiggle Sort Algorithm Implementation  ► strings  brute_force_string_searching.cppString pattern search - brute force  horspool.cppHorspool's algorithm that finds if a string contains a substring (https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm) diff --git a/globals_func_m.html b/globals_func_m.html index 3fd973ef7..60015ca3d 100644 --- a/globals_func_m.html +++ b/globals_func_m.html @@ -126,6 +126,7 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl , heap_sort.cpp , gnome_sort.cpp , cycle_sort.cpp +, count_inversions.cpp , comb_sort.cpp , bogo_sort.cpp , text_search.cpp diff --git a/globals_func_s.html b/globals_func_s.html index 99011104b..874162f4f 100644 --- a/globals_func_s.html +++ b/globals_func_s.html @@ -126,12 +126,12 @@ $(document).ready(function(){initNavTree('globals_func_s.html',''); initResizabl
  • show_pascal() : pascal_triangle.cpp
    • -
  • Sieve() -: primes_up_to_billion.cpp -
  • sieve() : sieve_of_eratosthenes.cpp
    • +
  • Sieve() +: primes_up_to_billion.cpp +
  • SieveOfEratosthenes() : prime_factorization.cpp
    • diff --git a/globals_func_t.html b/globals_func_t.html index 74530dd77..b990b1158 100644 --- a/globals_func_t.html +++ b/globals_func_t.html @@ -105,20 +105,21 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl , saddleback_search.cpp , gram_schmidt.cpp , bogo_sort.cpp -, cycle_sort.cpp +, count_inversions.cpp , coin_change_topdown.cpp , neural_network.cpp +, cycle_sort.cpp , gnome_sort.cpp -, heap_sort.cpp , armstrong_number.cpp +, heap_sort.cpp , merge_insertion_sort.cpp -, pancake_sort.cpp , vigenere_cipher.cpp , cut_rod.cpp , check_amicable_pair.cpp +, pancake_sort.cpp , strand_sort.cpp -, wiggle_sort.cpp , double_factorial.cpp +, wiggle_sort.cpp , horspool.cpp , palindrome_partitioning.cpp , fibonacci.cpp @@ -155,7 +156,8 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl , qr_eigen_values.cpp
  • test2() -: sum_of_digits.cpp +: large_factorial.cpp +, sum_of_digits.cpp , brent_method_extrema.cpp , durand_kerner_roots.cpp , golden_search_extrema.cpp @@ -168,20 +170,19 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl , adaline_learning.cpp , kohonen_som_topology.cpp , kohonen_som_trace.cpp -, large_factorial.cpp
  • test3() -: hamiltons_cycle.cpp +: adaline_learning.cpp , kohonen_som_topology.cpp , kohonen_som_trace.cpp -, brent_method_extrema.cpp -, smallest_circle.cpp , golden_search_extrema.cpp -, adaline_learning.cpp +, smallest_circle.cpp +, brent_method_extrema.cpp +, hamiltons_cycle.cpp
  • test_1() -: heavy_light_decomposition.cpp -, pigeonhole_sort.cpp +: pigeonhole_sort.cpp +, heavy_light_decomposition.cpp
  • test_2() : heavy_light_decomposition.cpp @@ -222,31 +223,31 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl : postfix_evaluation.cpp
  • test_int() -: quick_sort_3.cpp -, shell_sort2.cpp +: shell_sort2.cpp +, quick_sort_3.cpp
  • test_lamniscate() : kohonen_som_trace.cpp
  • tests() -: insertion_sort.cpp -, hopcroft_karp.cpp -, miller_rabin.cpp -, lowest_common_ancestor.cpp -, number_of_positive_divisors.cpp -, double_factorial.cpp -, check_factorial.cpp -, breadth_first_search.cpp -, bidirectional_dijkstra.cpp +: sieve_of_eratosthenes.cpp , magic_number.cpp -, radix_sort2.cpp -, ncr_modulo_p.cpp -, connected_components.cpp -, complex_numbers.cpp +, bidirectional_dijkstra.cpp +, miller_rabin.cpp +, number_of_positive_divisors.cpp , dijkstra.cpp -, sieve_of_eratosthenes.cpp +, check_factorial.cpp +, hopcroft_karp.cpp +, radix_sort2.cpp , least_common_multiple.cpp +, complex_numbers.cpp +, lowest_common_ancestor.cpp +, connected_components.cpp , comb_sort.cpp +, breadth_first_search.cpp +, ncr_modulo_p.cpp +, double_factorial.cpp +, insertion_sort.cpp
  • TH() : tower_of_hanoi.cpp diff --git a/globals_i.html b/globals_i.html index 9a4c725b7..951efb841 100644 --- a/globals_i.html +++ b/globals_i.html @@ -126,14 +126,14 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
  • is_square() : ordinary_least_squares_regressor.cpp
    • -
  • IsPrime() -: primality_test.cpp +
  • isprime +: prime_factorization.cpp
  • isPrime() : modular_inverse_fermat_little_theorem.cpp
    • -
  • isprime -: prime_factorization.cpp +
  • IsPrime() +: primality_test.cpp
  • it_ternary_search() : ternary_search.cpp diff --git a/globals_m.html b/globals_m.html index b65aa965e..c4540adac 100644 --- a/globals_m.html +++ b/globals_m.html @@ -137,6 +137,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable(); , heap_sort.cpp , gnome_sort.cpp , cycle_sort.cpp +, count_inversions.cpp , text_search.cpp , connected_components.cpp , gcd_recursive_euclidean.cpp diff --git a/globals_s.html b/globals_s.html index 52b61c89b..00646dddf 100644 --- a/globals_s.html +++ b/globals_s.html @@ -126,12 +126,12 @@ $(document).ready(function(){initNavTree('globals_s.html',''); initResizable();
  • show_pascal() : pascal_triangle.cpp
    • -
  • sieve() -: sieve_of_eratosthenes.cpp -
  • Sieve() : primes_up_to_billion.cpp
    • +
  • sieve() +: sieve_of_eratosthenes.cpp +
  • SieveOfEratosthenes() : prime_factorization.cpp
    • diff --git a/globals_t.html b/globals_t.html index 58b4bfb83..7d663a204 100644 --- a/globals_t.html +++ b/globals_t.html @@ -105,20 +105,21 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable(); , saddleback_search.cpp , gram_schmidt.cpp , bogo_sort.cpp -, cycle_sort.cpp +, count_inversions.cpp , coin_change_topdown.cpp , neural_network.cpp +, cycle_sort.cpp , gnome_sort.cpp -, heap_sort.cpp , armstrong_number.cpp +, heap_sort.cpp , merge_insertion_sort.cpp -, pancake_sort.cpp , vigenere_cipher.cpp , cut_rod.cpp , check_amicable_pair.cpp +, pancake_sort.cpp , strand_sort.cpp -, wiggle_sort.cpp , double_factorial.cpp +, wiggle_sort.cpp , horspool.cpp , palindrome_partitioning.cpp , fibonacci.cpp @@ -155,8 +156,9 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable(); , qr_eigen_values.cpp
  • test2() -: brent_method_extrema.cpp -, sum_of_digits.cpp +: sum_of_digits.cpp +, large_factorial.cpp +, brent_method_extrema.cpp , durand_kerner_roots.cpp , golden_search_extrema.cpp , lu_decompose.cpp @@ -168,24 +170,23 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable(); , adaline_learning.cpp , kohonen_som_topology.cpp , kohonen_som_trace.cpp -, large_factorial.cpp
  • test3() -: hamiltons_cycle.cpp +: adaline_learning.cpp , kohonen_som_topology.cpp , kohonen_som_trace.cpp -, brent_method_extrema.cpp -, smallest_circle.cpp , golden_search_extrema.cpp -, adaline_learning.cpp +, smallest_circle.cpp +, brent_method_extrema.cpp +, hamiltons_cycle.cpp
  • test_1() : heavy_light_decomposition.cpp , pigeonhole_sort.cpp
  • test_2() -: pigeonhole_sort.cpp -, heavy_light_decomposition.cpp +: heavy_light_decomposition.cpp +, pigeonhole_sort.cpp
  • test_2d_classes() : kohonen_som_topology.cpp @@ -222,8 +223,8 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable(); : postfix_evaluation.cpp
  • test_int() -: quick_sort_3.cpp -, shell_sort2.cpp +: shell_sort2.cpp +, quick_sort_3.cpp
  • test_lamniscate() : kohonen_som_trace.cpp @@ -232,24 +233,24 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable(); : brute_force_string_searching.cpp
  • tests() -: breadth_first_search.cpp -, comb_sort.cpp -, miller_rabin.cpp +: sieve_of_eratosthenes.cpp +, breadth_first_search.cpp , least_common_multiple.cpp -, check_factorial.cpp -, ncr_modulo_p.cpp -, lowest_common_ancestor.cpp -, double_factorial.cpp -, radix_sort2.cpp +, bidirectional_dijkstra.cpp +, comb_sort.cpp +, connected_components.cpp , number_of_positive_divisors.cpp +, lowest_common_ancestor.cpp +, radix_sort2.cpp +, complex_numbers.cpp , magic_number.cpp , dijkstra.cpp -, hopcroft_karp.cpp +, check_factorial.cpp , insertion_sort.cpp -, connected_components.cpp -, sieve_of_eratosthenes.cpp -, bidirectional_dijkstra.cpp -, complex_numbers.cpp +, ncr_modulo_p.cpp +, hopcroft_karp.cpp +, miller_rabin.cpp +, double_factorial.cpp
  • TH() : tower_of_hanoi.cpp diff --git a/namespacemembers.html b/namespacemembers.html index cd53ed210..a5a73f093 100644 --- a/namespacemembers.html +++ b/namespacemembers.html @@ -347,12 +347,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
  • quadraticProbe() : quadratic_probing
    • -
  • quicksort() -: sorting -
  • quickSort() : sorting
    • +
  • quicksort() +: sorting +
    • diff --git a/namespacemembers_func.html b/namespacemembers_func.html index 7c40d6cea..bd81f1730 100644 --- a/namespacemembers_func.html +++ b/namespacemembers_func.html @@ -338,12 +338,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
  • quadraticProbe() : quadratic_probing
    • -
  • quicksort() -: sorting -
  • quickSort() : sorting
    • +
  • quicksort() +: sorting +
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- Nmincoins_topdownFunctions for minimum coin exchange problem - NmorseFunctions for Morse Code - Nn_queensFunctions for Eight Queens puzzle - Nn_queens_all_solutionsFunctions for Eight Queens puzzle with all solutions - Nn_queens_optimizedFunctions for Eight Queens puzzle optimized - Nncr_modulo_pFunctions for nCr modulo p implementation - Nneural_networkNeural Network or Multilayer Perceptron - Nnumerical_methodsFor io operations - NothersOther algorithms - Npalindrome_partitioningFunctions for Palindrome Partitioning algorithm - Npancake_sortFunctions for Pancake sort algorithm - Npostfix_expressionFunctions for Postfix Expression algorithm - Nqr_algorithmFunctions to compute QR decomposition of any rectangular matrix - Nquadratic_probingAn implementation of hash table using quadratic probing algorithm - Nqueue_using_arrayFunctions for Queue using Array implementation - Nradix_sortFunctions for Radix sort algorithm - Nrange_queriesAlgorithms and Data Structures that support range queries and updates - Nrat_mazeFunctions for  NinversionFunctions for counting inversions using Merge Sort algorithm + Nis_graph_bipartiteFunctions for checking whether a graph is bipartite or not + NjarvisFunctions for Jarvis’s algorithm + NkadaneFunctions for Kadane algorithm + NKnapsackImplementation of 0-1 Knapsack problem + NlayersThis namespace contains layers used in MLP + Nlinear_algebraFor io operations + Nlinear_probingAn implementation of hash table using linear probing algorithm + Nlinked_listFunctions for singly linked list algorithm + Nmachine_learningMachine learning algorithms + NmathFor std::vector + Nmedian_searchFunctions for Median search algorithm + Nmerge_insertionCombined Intersion-Merge sorting algorithm + Nmincoins_topdownFunctions for minimum coin exchange problem + NmorseFunctions for Morse Code + Nn_queensFunctions for Eight Queens puzzle + Nn_queens_all_solutionsFunctions for Eight Queens puzzle with all solutions + Nn_queens_optimizedFunctions for Eight Queens puzzle optimized + Nncr_modulo_pFunctions for nCr modulo p implementation + Nneural_networkNeural Network or Multilayer Perceptron + Nnumerical_methodsFor io operations + NothersOther algorithms + Npalindrome_partitioningFunctions for Palindrome Partitioning algorithm + Npancake_sortFunctions for Pancake sort algorithm + Npostfix_expressionFunctions for Postfix Expression algorithm + Nqr_algorithmFunctions to compute QR decomposition of any rectangular matrix + Nquadratic_probingAn implementation of hash table using quadratic probing algorithm + Nqueue_using_arrayFunctions for Queue using Array implementation + Nradix_sortFunctions for Radix sort algorithm + Nrange_queriesAlgorithms and Data Structures that support range queries and updates + Nrat_mazeFunctions for Rat in a Maze algorithm - Nrunge_kuttaFunctions for Runge Kutta fourth order method - NsaddlebackFunction for implementing Saddleback Algorithm - NsearchSearch algorithms - Nshortest_common_supersequenceShortest Common Super Sequence algorithm - NsortingSorting algorithms - Nsparse_tableRange queries using sparse-tables - Nspirograph - NstatisticsStatistical algorithms - NstdSTL namespace - NstrandFunctions for Strand Sort algorithm - Nstring_searchString search algorithms - NstringsAlgorithms with strings - Ntree_234Functions for 2–3–4 tree - Nutil_functionsVarious utility functions used in Neural network - NvigenereFunctions for vigenère cipher algorithm - Nwiggle_sortFunctions for Wiggle Sort algorithm - Nword_breakFunctions for Word Break problem - NXORFunctions for XOR cipher algorithm + Nrunge_kuttaFunctions for Runge Kutta fourth order method + NsaddlebackFunction for implementing Saddleback Algorithm + NsearchSearch algorithms + Nshortest_common_supersequenceShortest Common Super Sequence algorithm + NsortingSorting algorithms + Nsparse_tableRange queries using sparse-tables + Nspirograph + NstatisticsStatistical algorithms + NstdSTL namespace + NstrandFunctions for Strand Sort algorithm + Nstring_searchString search algorithms + NstringsAlgorithms with strings + Ntree_234Functions for 2–3–4 tree + Nutil_functionsVarious utility functions used in Neural network + NvigenereFunctions for vigenère cipher algorithm + Nwiggle_sortFunctions for Wiggle Sort algorithm + Nword_breakFunctions for Word Break problem + NXORFunctions for XOR cipher algorithm diff --git a/namespaces_dup.js b/namespaces_dup.js index 00a959461..e58fc22ba 100644 --- a/namespaces_dup.js +++ b/namespaces_dup.js @@ -17,6 +17,7 @@ var namespaces_dup = [ "graph", "df/dce/namespacegraph.html", null ], [ "heavy_light_decomposition", "db/d6f/namespaceheavy__light__decomposition.html", null ], [ "horspool", "d5/d02/namespacehorspool.html", null ], + [ "inversion", "d9/d13/namespaceinversion.html", null ], [ "is_graph_bipartite", "de/d83/namespaceis__graph__bipartite.html", null ], [ "jarvis", "d5/da7/namespacejarvis.html", null ], [ "kadane", "d6/d74/namespacekadane.html", null ], diff --git 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