diff --git a/d1/d9a/hopcroft__karp_8cpp.html b/d1/d9a/hopcroft__karp_8cpp.html index 8fa7972b9..9f00f32e0 100644 --- a/d1/d9a/hopcroft__karp_8cpp.html +++ b/d1/d9a/hopcroft__karp_8cpp.html @@ -138,22 +138,22 @@ Functions

Detailed Description

Implementation of Hopcroft–Karp algorithm.

The Hopcroft–Karp algorithm is an algorithm that takes as input a bipartite graph and produces as output a maximum cardinality matching, it runs in O(E√V) time in worst case.

-

+

Bipartite graph

A bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets U and V such that every edge connects a vertex in U to one in V. Vertex sets U and V are usually called the parts of the graph. Equivalently, a bipartite graph is a graph that does not contain any odd-length cycles.

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Matching and Not-Matching edges

Given a matching M, edges that are part of matching are called Matching edges and edges that are not part of M (or connect free nodes) are called Not-Matching edges.

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+

Maximum cardinality matching

Given a bipartite graphs G = ( V = ( X , Y ) , E ) whose partition has the parts X and Y, with E denoting the edges of the graph, the goal is to find a matching with as many edges as possible. Equivalently, a matching that covers as many vertices as possible.

-

+

Augmenting paths

Given a matching M, an augmenting path is an alternating path that starts from and ends on free vertices. All single edge paths that start and end with free vertices are augmenting paths.

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+

Concept

A matching M is not maximum if there exists an augmenting path. It is also true other way, i.e, a matching is maximum if no augmenting path exists.

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+

Algorithm

1) Initialize the Maximal Matching M as empty. 2) While there exists an Augmenting Path P Remove matching edges of P from M and add not-matching edges of P to M (This increases size of M by 1 as P starts and ends with a free vertex i.e. a node that is not part of matching.) 3) Return M.

Author
Krishna Pal Deora
diff --git a/d4/d8d/jarvis__algorithm_8cpp.html b/d4/d8d/jarvis__algorithm_8cpp.html index 9886ccf54..d1fee149e 100644 --- a/d4/d8d/jarvis__algorithm_8cpp.html +++ b/d4/d8d/jarvis__algorithm_8cpp.html @@ -137,7 +137,7 @@ Functions

Detailed Description

Implementation of Jarvis’s algorithm.

Given a set of points in the plane. the convex hull of the set is the smallest convex polygon that contains all the points of it.

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+

Algorithm

The idea of Jarvis’s Algorithm is simple, we start from the leftmost point (or point with minimum x coordinate value) and we keep wrapping points in counterclockwise direction.

The idea is to use orientation() here. Next point is selected as the point that beats all other points at counterclockwise orientation, i.e., next point is q if for any other point r, we have “orientation(p, q, r) = counterclockwise”.

diff --git a/d5/ddb/bogo__sort_8cpp.html b/d5/ddb/bogo__sort_8cpp.html index 5275c51f6..da876fc80 100644 --- a/d5/ddb/bogo__sort_8cpp.html +++ b/d5/ddb/bogo__sort_8cpp.html @@ -136,7 +136,7 @@ Functions

Detailed Description

Implementation of Bogosort algorithm

In computer science, bogosort (also known as permutation sort, stupid sort, slowsort, shotgun sort, random sort, monkey sort, bobosort or shuffle sort) is a highly inefficient sorting algorithm based on the generate and test paradigm. Two versions of this algorithm exist: a deterministic version that enumerates all permutations until it hits a sorted one, and a randomized version that randomly permutes its input.Randomized version is implemented here.

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Algorithm

Shuffle the array untill array is sorted.

Author
Deep Raval
diff --git a/d6/d10/cut__rod_8cpp.html b/d6/d10/cut__rod_8cpp.html index d7a4a65fb..62aa45de4 100644 --- a/d6/d10/cut__rod_8cpp.html +++ b/d6/d10/cut__rod_8cpp.html @@ -136,7 +136,7 @@ Functions

Detailed Description

Implementation of cutting a rod problem.

Given a rod of length n inches and an array of prices that contains prices of all pieces of size<=n. Determine the maximum profit obtainable by cutting up the rod and selling the pieces.

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Algorithm

The idea is to break the given rod into every smaller piece as possible and then check profit for each piece, by calculating maximum profit for smaller pieces we will build the solution for larger pieces in bottom-up manner.

Author
Anmol
diff --git a/d6/da8/0__1__knapsack_8cpp__incl.map b/d6/da8/0__1__knapsack_8cpp__incl.map new file mode 100644 index 000000000..ed2c8b61a --- /dev/null +++ b/d6/da8/0__1__knapsack_8cpp__incl.map @@ -0,0 +1,7 @@ + + + + + + + diff --git a/d6/da8/0__1__knapsack_8cpp__incl.md5 b/d6/da8/0__1__knapsack_8cpp__incl.md5 new file mode 100644 index 000000000..819371183 --- /dev/null +++ b/d6/da8/0__1__knapsack_8cpp__incl.md5 @@ -0,0 +1 @@ +f5497ae64d184ad6f978f460b78ff2dc \ No newline at end of file diff --git a/d6/da8/0__1__knapsack_8cpp__incl.svg b/d6/da8/0__1__knapsack_8cpp__incl.svg new file mode 100644 index 000000000..540b1b7fa --- /dev/null +++ b/d6/da8/0__1__knapsack_8cpp__incl.svg @@ -0,0 +1,83 @@ + + + + + + +dynamic_programming/0_1_knapsack.cpp + + + +Node1 + + +dynamic_programming +/0_1_knapsack.cpp + + + + + +Node2 + + +array + + + + + +Node1->Node2 + + + + + +Node3 + + +cassert + + + + + +Node1->Node3 + + + + + +Node4 + + +iostream + + + + + +Node1->Node4 + + + + + +Node5 + + +vector + + + + + +Node1->Node5 + + + + + diff --git a/d7/daf/namespace_knapsack.html b/d7/daf/namespace_knapsack.html new file mode 100644 index 000000000..9809c2fb4 --- /dev/null +++ b/d7/daf/namespace_knapsack.html @@ -0,0 +1,112 @@ + + + + + + + +Algorithms_in_C++: Knapsack Namespace Reference + + + + + + + + + + + + + + + +
+
+ + + + + + +
+
Algorithms_in_C++ +  1.0.0 +
+
Set of algorithms implemented in C++.
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+ + + + + + + +
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+ +
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+ +
+ +
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+ + +
+ +
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+
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Knapsack Namespace Reference
+
+
+ +

Implementation of 0-1 Knapsack problem. +More...

+

Detailed Description

+

Implementation of 0-1 Knapsack problem.

+
+
+ + + + diff --git a/d8/d95/vector__ops_8hpp_source.html b/d8/d95/vector__ops_8hpp_source.html index 7481210ff..587f6311f 100644 --- a/d8/d95/vector__ops_8hpp_source.html +++ b/d8/d95/vector__ops_8hpp_source.html @@ -694,6 +694,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
dynamic_programming::shortest_common_supersequence::scs
std::string scs(const std::string &str1, const std::string &str2)
Definition: shortest_common_supersequence.cpp:42
main
int main(int argc, char **argv)
Definition: kohonen_som_topology.cpp:582
Trie::hasChildren
static bool hasChildren(std::shared_ptr< TrieNode > node)
Definition: trie_modern.cpp:41
+
test
static void test()
Function to test above algorithm.
Definition: 0_1_knapsack.cpp:95
double_hashing::putProber
bool putProber(const Entry &entry, int key)
Definition: double_hash_hash_table.cpp:120
main
int main(int argc, char **argv)
Definition: spirograph.cpp:268
Graph::Graph
Graph(unsigned int vertices, AdjList adjList)
Definition: cycle_check_directed_graph.cpp:68
@@ -890,6 +891,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
Edge
Definition: bellman_ford.cpp:7
machine_learning::minmax_scaler
std::vector< std::vector< std::valarray< T > > > minmax_scaler(const std::vector< std::vector< std::valarray< T >>> &A, const T &low, const T &high)
Definition: vector_ops.hpp:269
quadratic_probing::Entry::Entry
Entry(int key=notPresent)
constructor
Definition: quadratic_probing_hash_table.cpp:38
+
main
int main()
Main function.
Definition: 0_1_knapsack.cpp:125
stack::top
Type top()
Definition: stack.h:93
geometry::jarvis::Convexhull
Definition: jarvis_algorithm.cpp:55
graph::HKGraph::bfs
bool bfs()
This function checks for the possibility of augmented path availability.
Definition: hopcroft_karp.cpp:133
@@ -980,6 +982,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
main
int main()
Definition: neural_network.cpp:830
test
static void test()
Testing function.
Definition: trie_tree.cpp:178
dynamic_programming::word_break::check
bool check(const std::string &s, const std::unordered_set< std::string > &strSet, int pos, std::vector< int > *dp)
Function that checks if the string passed in param can be segmented from position 'pos',...
Definition: word_break.cpp:80
+
dynamic_programming::knapsack::maxKnapsackValue
int maxKnapsackValue(const int capacity, const std::array< int, n > &weight, const std::array< int, n > &value)
Picking up all those items whose combined weight is below given capacity and calculating value of tho...
Definition: 0_1_knapsack.cpp:51
std::make_pair
T make_pair(T... args)
std::time
T time(T... args)
quadratic_probing::hashFxn
size_t hashFxn(int key)
Definition: quadratic_probing_hash_table.cpp:46
diff --git a/db/d16/0__1__knapsack_8cpp.html b/db/d16/0__1__knapsack_8cpp.html new file mode 100644 index 000000000..3b5a0e274 --- /dev/null +++ b/db/d16/0__1__knapsack_8cpp.html @@ -0,0 +1,349 @@ + + + + + + + +Algorithms_in_C++: dynamic_programming/0_1_knapsack.cpp File Reference + + + + + + + + + + + + + + + +
+
+ + + + + + +
+
Algorithms_in_C++ +  1.0.0 +
+
Set of algorithms implemented in C++.
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+ +
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+ +
+ +
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+ + +
+ +
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+Namespaces | +Functions
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0_1_knapsack.cpp File Reference
+
+
+ +

Implementation of 0-1 Knapsack Problem +More...

+
#include <array>
+#include <cassert>
+#include <iostream>
+#include <vector>
+
+Include dependency graph for 0_1_knapsack.cpp:
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+ + + + + + + +

+Namespaces

 dynamic_programming
 Dynamic Programming algorithms.
 
 Knapsack
 Implementation of 0-1 Knapsack problem.
 
+ + + + + + + + + + + +

+Functions

template<size_t n>
int dynamic_programming::knapsack::maxKnapsackValue (const int capacity, const std::array< int, n > &weight, const std::array< int, n > &value)
 Picking up all those items whose combined weight is below given capacity and calculating value of those picked items.Trying all possible combinations will yield the maximum knapsack value. More...
 
static void test ()
 Function to test above algorithm. More...
 
int main ()
 Main function. More...
 
+

Detailed Description

+

Implementation of 0-1 Knapsack Problem

+

Given weights and values of n items, put these items in a knapsack of capacity W to get the maximum total value in the knapsack. In other words, given two integer arrays val[0..n-1] and wt[0..n-1] which represent values and weights associated with n items respectively. Also given an integer W which represents knapsack capacity, find out the maximum value subset of val[] such that sum of the weights of this subset is smaller than or equal to W. You cannot break an item, either pick the complete item or don’t pick it (0-1 property)

+

+Algorithm

+

The idea is to consider all subsets of items and calculate the total weight and value of all subsets. Consider the only subsets whose total weight is smaller than W. From all such subsets, pick the maximum value subset.

+
Author
Anmol
+
+Pardeep
+

Function Documentation

+ +

◆ main()

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

Main function.

+
Returns
0 on exit
+
125  {
+
126  // Testing
+
127  test();
+
128  return 0;
+
129 }
+
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+ +

◆ maxKnapsackValue()

+ +
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+
+template<size_t n>
+ + + + + + + + + + + + + + + + + + + + + + + + +
int dynamic_programming::knapsack::maxKnapsackValue (const int capacity,
const std::array< int, n > & weight,
const std::array< int, n > & value 
)
+
+ +

Picking up all those items whose combined weight is below given capacity and calculating value of those picked items.Trying all possible combinations will yield the maximum knapsack value.

+
Template Parameters
+ + +
nsize of the weight and value array
+
+
+
Parameters
+ + + + +
capacitycapacity of the carrying bag
weightarray representing weight of items
valuearray representing value of items
+
+
+
Returns
maximum value obtainable with given capacity.
+
52  {
+
53  std::vector<std::vector<int> > maxValue(n + 1,
+
54  std::vector<int>(capacity + 1, 0));
+
55  // outer loop will select no of items allowed
+
56  // inner loop will select capcity of knapsack bag
+
57  int items = sizeof(weight) / sizeof(weight[0]);
+
58  for (size_t i = 0; i < items + 1; ++i) {
+
59  for (size_t j = 0; j < capacity + 1; ++j) {
+
60  if (i == 0 || j == 0) {
+
61  // if no of items is zero or capacity is zero, then maxValue
+
62  // will be zero
+
63  maxValue[i][j] = 0;
+
64  } else if (weight[i - 1] <= j) {
+
65  // if the ith item's weight(in actual array it will be at i-1)
+
66  // is less than or equal to the allowed weight i.e. j then we
+
67  // can pick that item for our knapsack. maxValue will be the
+
68  // obtained either by picking the current item or by not picking
+
69  // current item
+
70 
+
71  // picking current item
+
72  int profit1 = value[i - 1] + maxValue[i - 1][j - weight[i - 1]];
+
73 
+
74  // not picking current item
+
75  int profit2 = maxValue[i - 1][j];
+
76 
+
77  maxValue[i][j] = std::max(profit1, profit2);
+
78  } else
+
79  // as weight of current item is greater than allowed weight, so
+
80  // maxProfit will be profit obtained by excluding current item.
+
81  maxValue[i][j] = maxValue[i - 1][j];
+
82  }
+
83  }
+
84 
+
85  // returning maximum value
+
86  return maxValue[items][capacity];
+
87 }
+
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+ +

◆ test()

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

Function to test above algorithm.

+
Returns
void
+
95  {
+
96  // Test 1
+
97  const int n1 = 3; // number of items
+
98  std::array<int, n1> weight1 = {10, 20, 30}; // weight of each item
+
99  std::array<int, n1> value1 = {60, 100, 120}; // value of each item
+
100  const int capacity1 = 50; // capacity of carrying bag
+
101  const int max_value1 = dynamic_programming::knapsack::maxKnapsackValue(
+
102  capacity1, weight1, value1);
+
103  const int expected_max_value1 = 220;
+
104  assert(max_value1 == expected_max_value1);
+
105  std::cout << "Maximum Knapsack value with " << n1 << " items is "
+
106  << max_value1 << std::endl;
+
107 
+
108  // Test 2
+
109  const int n2 = 4; // number of items
+
110  std::array<int, n2> weight2 = {24, 10, 10, 7}; // weight of each item
+
111  std::array<int, n2> value2 = {24, 18, 18, 10}; // value of each item
+
112  const int capacity2 = 25; // capacity of carrying bag
+
113  const int max_value2 = dynamic_programming::knapsack::maxKnapsackValue(
+
114  capacity2, weight2, value2);
+
115  const int expected_max_value2 = 36;
+
116  assert(max_value2 == expected_max_value2);
+
117  std::cout << "Maximum Knapsack value with " << n2 << " items is "
+
118  << max_value2 << std::endl;
+
119 }
+
+Here is the call graph for this function:
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+
std::vector
STL class.
+
test
static void test()
Function to test above algorithm.
Definition: 0_1_knapsack.cpp:95
+ +
std::array
STL class.
+
std::endl
T endl(T... args)
+
dynamic_programming::knapsack::maxKnapsackValue
int maxKnapsackValue(const int capacity, const std::array< int, n > &weight, const std::array< int, n > &value)
Picking up all those items whose combined weight is below given capacity and calculating value of tho...
Definition: 0_1_knapsack.cpp:51
+
std::max
T max(T... args)
+ + + + diff --git a/db/d16/0__1__knapsack_8cpp.js b/db/d16/0__1__knapsack_8cpp.js new file mode 100644 index 000000000..057fff54e --- /dev/null +++ b/db/d16/0__1__knapsack_8cpp.js @@ -0,0 +1,6 @@ +var 0__1__knapsack_8cpp = +[ + [ "main", "db/d16/0__1__knapsack_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], + [ "maxKnapsackValue", "db/d16/0__1__knapsack_8cpp.html#a15edf30f336885e5b851f6b7199c6cd1", null ], + [ "test", "db/d16/0__1__knapsack_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ] +]; \ No newline at end of file diff --git a/db/d16/0__1__knapsack_8cpp_a15edf30f336885e5b851f6b7199c6cd1_cgraph.map b/db/d16/0__1__knapsack_8cpp_a15edf30f336885e5b851f6b7199c6cd1_cgraph.map new file mode 100644 index 000000000..31bc8ba7d --- /dev/null +++ b/db/d16/0__1__knapsack_8cpp_a15edf30f336885e5b851f6b7199c6cd1_cgraph.map @@ -0,0 +1,4 @@ + + + + diff --git a/db/d16/0__1__knapsack_8cpp_a15edf30f336885e5b851f6b7199c6cd1_cgraph.md5 b/db/d16/0__1__knapsack_8cpp_a15edf30f336885e5b851f6b7199c6cd1_cgraph.md5 new file mode 100644 index 000000000..9d36bcd36 --- /dev/null +++ b/db/d16/0__1__knapsack_8cpp_a15edf30f336885e5b851f6b7199c6cd1_cgraph.md5 @@ -0,0 +1 @@ +c86f60a494594907b1dcc48d575dc9f8 \ No newline at end of file diff --git a/db/d16/0__1__knapsack_8cpp_a15edf30f336885e5b851f6b7199c6cd1_cgraph.svg b/db/d16/0__1__knapsack_8cpp_a15edf30f336885e5b851f6b7199c6cd1_cgraph.svg new file mode 100644 index 000000000..2016a5d38 --- /dev/null +++ b/db/d16/0__1__knapsack_8cpp_a15edf30f336885e5b851f6b7199c6cd1_cgraph.svg @@ -0,0 +1,44 @@ + + + + + + +dynamic_programming::knapsack::maxKnapsackValue + + + +Node1 + + +dynamic_programming +::knapsack::maxKnapsackValue + + + + + +Node1->Node1 + + + + + +Node2 + + +std::max + + + + + +Node1->Node2 + + + + + diff --git a/db/d16/0__1__knapsack_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map b/db/d16/0__1__knapsack_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map new file mode 100644 index 000000000..b5f5a2647 --- /dev/null +++ b/db/d16/0__1__knapsack_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map @@ -0,0 +1,4 @@ + + + + diff --git a/db/d16/0__1__knapsack_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 b/db/d16/0__1__knapsack_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 new file mode 100644 index 000000000..822ad0f9b --- /dev/null +++ b/db/d16/0__1__knapsack_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 @@ -0,0 +1 @@ +64c90610e30b3ab35b411975a63245fd \ No newline at end of file diff --git a/db/d16/0__1__knapsack_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg b/db/d16/0__1__knapsack_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg new file mode 100644 index 000000000..ce45ce65e --- /dev/null +++ b/db/d16/0__1__knapsack_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg @@ -0,0 +1,37 @@ + + + + + + +test + + + +Node1 + + +test + + + + + +Node2 + + +std::endl + + + + + +Node1->Node2 + + + + + diff --git a/db/d16/0__1__knapsack_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/db/d16/0__1__knapsack_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map new file mode 100644 index 000000000..42de1fdde --- /dev/null +++ b/db/d16/0__1__knapsack_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -0,0 +1,5 @@ + + + + + diff --git a/db/d16/0__1__knapsack_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/db/d16/0__1__knapsack_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 new file mode 100644 index 000000000..7fc8bfb96 --- /dev/null +++ b/db/d16/0__1__knapsack_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -0,0 +1 @@ +9afee202f399d4d5a1866bc1fd0a1124 \ No newline at end of file diff --git a/db/d16/0__1__knapsack_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/db/d16/0__1__knapsack_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg new file mode 100644 index 000000000..636581990 --- /dev/null +++ b/db/d16/0__1__knapsack_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -0,0 +1,52 @@ + + + + + + +main + + + +Node1 + + +main + + + + + +Node2 + + +test + + + + + +Node1->Node2 + + + + + +Node3 + + +std::endl + + + + + +Node2->Node3 + + + + + diff --git a/db/dca/kadane2_8cpp.html b/db/dca/kadane2_8cpp.html index c2be290e3..84f7f874b 100644 --- a/db/dca/kadane2_8cpp.html +++ b/db/dca/kadane2_8cpp.html @@ -132,7 +132,7 @@ Functions

Detailed Description

Implementation of Kadane Algorithm

Kadane algorithm is used to find the maximum sum subarray in an array and maximum sum subarray problem is the task of finding a contiguous subarray with the largest sum

-

+

Algorithm

The simple idea of the algorithm is to search for all positive contiguous segments of the array and keep track of maximum sum contiguous segment among all positive segments(curr_sum is used for this) Each time we get a positive sum we compare it with max_sum and update max_sum if it is greater than curr_sum

Author
Ayush Singh
diff --git a/dir_8a20dd5bfd5341a725342bf72b6b686f.html b/dir_8a20dd5bfd5341a725342bf72b6b686f.html index ccea890ad..510691178 100644 --- a/dir_8a20dd5bfd5341a725342bf72b6b686f.html +++ b/dir_8a20dd5bfd5341a725342bf72b6b686f.html @@ -97,6 +97,9 @@ $(document).ready(function(){initNavTree('dir_8a20dd5bfd5341a725342bf72b6b686f.h + + + diff --git a/dir_8a20dd5bfd5341a725342bf72b6b686f.js b/dir_8a20dd5bfd5341a725342bf72b6b686f.js index 9f354f06d..1ede9b48c 100644 --- a/dir_8a20dd5bfd5341a725342bf72b6b686f.js +++ b/dir_8a20dd5bfd5341a725342bf72b6b686f.js @@ -1,5 +1,6 @@ var dir_8a20dd5bfd5341a725342bf72b6b686f = [ + [ "0_1_knapsack.cpp", "db/d16/0__1__knapsack_8cpp.html", "db/d16/0__1__knapsack_8cpp" ], [ "cut_rod.cpp", "d6/d10/cut__rod_8cpp.html", "d6/d10/cut__rod_8cpp" ], [ "kadane2.cpp", "db/dca/kadane2_8cpp.html", "db/dca/kadane2_8cpp" ], [ "shortest_common_supersequence.cpp", "d7/d65/shortest__common__supersequence_8cpp.html", "d7/d65/shortest__common__supersequence_8cpp" ], diff --git a/files.html b/files.html index 1f3213906..4cbba5636 100644 --- a/files.html +++ b/files.html @@ -127,10 +127,11 @@ solve-a-rat-in-a-maze-c-java-pytho/">Rat in a Maze algorithm - - - - + + + + + diff --git a/globals_func_m.html b/globals_func_m.html index 31f4dd1f4..196bf724a 100644 --- a/globals_func_m.html +++ b/globals_func_m.html @@ -99,27 +99,27 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl , n_queens.cpp , caesar_cipher.cpp , queue_using_two_stacks.cpp -, is_graph_bipartite.cpp -, modular_inverse_fermat_little_theorem.cpp +, hopcroft_karp.cpp +, miller_rabin.cpp +, merge_sort.cpp , pancake_sort.cpp +, modular_inverse_fermat_little_theorem.cpp , pigeonhole_sort.cpp -, number_of_positive_divisors.cpp , quick_sort.cpp +, is_graph_bipartite.cpp +, number_of_positive_divisors.cpp , quick_sort_3.cpp -, lowest_common_ancestor.cpp -, power_for_huge_numbers.cpp -, shell_sort2.cpp , rabin_karp.cpp , knuth_morris_pratt.cpp -, strand_sort.cpp -, prime_factorization.cpp -, brute_force_string_searching.cpp , horspool.cpp +, shell_sort2.cpp +, power_for_huge_numbers.cpp +, strand_sort.cpp +, brute_force_string_searching.cpp , skip_list.cpp -, spirograph.cpp +, lowest_common_ancestor.cpp +, prime_factorization.cpp , prime_numbers.cpp -, primes_up_to_billion.cpp -, merge_sort.cpp , merge_insertion_sort.cpp , insertion_sort.cpp , heap_sort.cpp @@ -175,15 +175,15 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl , sum_of_digits.cpp , string_fibonacci.cpp , sqrt_double.cpp -, jumpgame.cpp -, realtime_stats.cpp , sieve_of_eratosthenes.cpp +, spirograph.cpp +, primes_up_to_billion.cpp +, realtime_stats.cpp , hill_cipher.cpp , trie_modern.cpp +, jumpgame.cpp , chaining.cpp -, double_hash_hash_table.cpp , trie_tree.cpp -, miller_rabin.cpp , least_common_multiple.cpp , large_factorial.cpp , gcd_recursive_euclidean.cpp @@ -207,15 +207,15 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl , kohonen_som_trace.cpp , kohonen_som_topology.cpp , adaline_learning.cpp -, linear_probing_hash_table.cpp , quadratic_probing_hash_table.cpp +, double_hash_hash_table.cpp +, linear_probing_hash_table.cpp , nqueen_print_all_solutions.cpp , vigenere_cipher.cpp +, 0_1_knapsack.cpp , cut_rod.cpp -, kadane2.cpp , xor_cipher.cpp -, shortest_common_supersequence.cpp -, hopcroft_karp.cpp +, kadane2.cpp , hamiltons_cycle.cpp , dijkstra.cpp , depth_first_search.cpp @@ -224,6 +224,7 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl , line_segment_intersection.cpp , jarvis_algorithm.cpp , word_break.cpp +, shortest_common_supersequence.cpp , minimax.cpp , rat_maze.cpp , avltree.cpp diff --git a/globals_func_t.html b/globals_func_t.html index 11a2e6aef..002418d30 100644 --- a/globals_func_t.html +++ b/globals_func_t.html @@ -99,33 +99,35 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
  • test() : rat_maze.cpp , vigenere_cipher.cpp -, shortest_common_supersequence.cpp +, cut_rod.cpp +, check_amicable_pair.cpp , double_factorial.cpp +, shortest_common_supersequence.cpp , fibonacci.cpp -, word_break.cpp , sum_of_digits.cpp -, smallest_circle.cpp , xor_cipher.cpp -, jarvis_algorithm.cpp +, word_break.cpp +, smallest_circle.cpp , median_search.cpp +, jarvis_algorithm.cpp , bogo_sort.cpp -, is_graph_bipartite.cpp , gnome_sort.cpp -, heap_sort.cpp , caesar_cipher.cpp , trie_tree.cpp -, jumpgame.cpp +, is_graph_bipartite.cpp +, heap_sort.cpp , merge_insertion_sort.cpp +, jumpgame.cpp , pancake_sort.cpp -, neural_network.cpp , strand_sort.cpp +, 0_1_knapsack.cpp +, neural_network.cpp , horspool.cpp -, cut_rod.cpp , armstrong_number.cpp -, check_amicable_pair.cpp
  • test1() -: kohonen_som_trace.cpp +: kohonen_som_topology.cpp +, kohonen_som_trace.cpp , large_factorial.cpp , sum_of_digits.cpp , brent_method_extrema.cpp @@ -136,7 +138,6 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl , hill_cipher.cpp , hamiltons_cycle.cpp , adaline_learning.cpp -, kohonen_som_topology.cpp
  • test2() : hill_cipher.cpp @@ -154,17 +155,17 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl , smallest_circle.cpp
  • test3() -: smallest_circle.cpp -, kohonen_som_topology.cpp +: adaline_learning.cpp +, golden_search_extrema.cpp , hamiltons_cycle.cpp -, adaline_learning.cpp +, kohonen_som_topology.cpp , kohonen_som_trace.cpp , brent_method_extrema.cpp -, golden_search_extrema.cpp +, smallest_circle.cpp
  • test_1() -: pigeonhole_sort.cpp -, heavy_light_decomposition.cpp +: heavy_light_decomposition.cpp +, pigeonhole_sort.cpp
  • test_2() : pigeonhole_sort.cpp @@ -212,20 +213,20 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl : kohonen_som_trace.cpp
  • tests() -: number_of_positive_divisors.cpp -, lowest_common_ancestor.cpp -, connected_components.cpp +: lowest_common_ancestor.cpp +, number_of_positive_divisors.cpp , hopcroft_karp.cpp -, sieve_of_eratosthenes.cpp +, check_factorial.cpp , least_common_multiple.cpp +, sieve_of_eratosthenes.cpp , complex_numbers.cpp , miller_rabin.cpp -, comb_sort.cpp -, check_factorial.cpp -, double_factorial.cpp , dijkstra.cpp -, insertion_sort.cpp +, double_factorial.cpp +, comb_sort.cpp +, connected_components.cpp , breadth_first_search.cpp +, insertion_sort.cpp
  • TH() : tower_of_hanoi.cpp diff --git a/globals_i.html b/globals_i.html index 3c01de3b0..42dc8f695 100644 --- a/globals_i.html +++ b/globals_i.html @@ -123,14 +123,14 @@ $(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 5c93d332a..4a6f7ea2e 100644 --- a/globals_m.html +++ b/globals_m.html @@ -99,38 +99,38 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable(); , n_queens.cpp , caesar_cipher.cpp , queue_using_two_stacks.cpp -, is_graph_bipartite.cpp -, modular_inverse_fermat_little_theorem.cpp +, hopcroft_karp.cpp +, miller_rabin.cpp +, merge_sort.cpp , pancake_sort.cpp +, modular_inverse_fermat_little_theorem.cpp , pigeonhole_sort.cpp -, number_of_positive_divisors.cpp , quick_sort.cpp +, is_graph_bipartite.cpp +, number_of_positive_divisors.cpp , quick_sort_3.cpp -, lowest_common_ancestor.cpp -, power_for_huge_numbers.cpp , shell_sort2.cpp +, power_for_huge_numbers.cpp , strand_sort.cpp -, prime_factorization.cpp , brute_force_string_searching.cpp -, horspool.cpp , skip_list.cpp -, spirograph.cpp -, prime_numbers.cpp +, lowest_common_ancestor.cpp +, prime_factorization.cpp +, horspool.cpp , knuth_morris_pratt.cpp +, prime_numbers.cpp , rabin_karp.cpp +, spirograph.cpp , primes_up_to_billion.cpp -, jumpgame.cpp , realtime_stats.cpp -, sieve_of_eratosthenes.cpp , hill_cipher.cpp , trie_modern.cpp -, chaining.cpp +, jumpgame.cpp +, sieve_of_eratosthenes.cpp , sqrt_double.cpp +, chaining.cpp , string_fibonacci.cpp -, double_hash_hash_table.cpp , sum_of_digits.cpp -, bisection_method.cpp -, merge_sort.cpp , merge_insertion_sort.cpp , insertion_sort.cpp , heap_sort.cpp @@ -180,21 +180,21 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable(); , lu_decompose.cpp , golden_search_extrema.cpp , gaussian_elimination.cpp -, trie_tree.cpp -, linear_probing_hash_table.cpp -, brent_method_extrema.cpp , false_position.cpp -, quadratic_probing_hash_table.cpp +, trie_tree.cpp +, double_hash_hash_table.cpp +, bisection_method.cpp +, brent_method_extrema.cpp +, linear_probing_hash_table.cpp , nqueen_print_all_solutions.cpp , vigenere_cipher.cpp -, cut_rod.cpp +, 0_1_knapsack.cpp +, quadratic_probing_hash_table.cpp , adaline_learning.cpp +, cut_rod.cpp , kohonen_som_topology.cpp -, kadane2.cpp , kohonen_som_trace.cpp -, neural_network.cpp , xor_cipher.cpp -, miller_rabin.cpp , least_common_multiple.cpp , large_factorial.cpp , gcd_recursive_euclidean.cpp @@ -212,24 +212,25 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable(); , check_factorial.cpp , check_amicable_pair.cpp , binary_exponent.cpp -, shortest_common_supersequence.cpp -, ordinary_least_squares_regressor.cpp , armstrong_number.cpp -, word_break.cpp +, kadane2.cpp +, neural_network.cpp +, ordinary_least_squares_regressor.cpp +, shortest_common_supersequence.cpp , minimax.cpp , rat_maze.cpp , avltree.cpp +, word_break.cpp , jarvis_algorithm.cpp -, line_segment_intersection.cpp , disjoint_set.cpp +, line_segment_intersection.cpp , breadth_first_search.cpp -, connected_components.cpp , sudoku_solve.cpp , linked_list.cpp -, hopcroft_karp.cpp , hamiltons_cycle.cpp -, depth_first_search.cpp , dijkstra.cpp +, connected_components.cpp +, depth_first_search.cpp , linkedlist_implentation_usingarray.cpp
  • mat_mul() @@ -242,11 +243,11 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable(); : lu_decomposition.h
  • MAX -: hash_search.cpp -, paranthesis_matching.cpp -, fibonacci_fast.cpp -, ternary_search.cpp +: paranthesis_matching.cpp , power_for_huge_numbers.cpp +, hash_search.cpp +, ternary_search.cpp +, fibonacci_fast.cpp
  • MAX_ITER : adaline_learning.cpp diff --git a/globals_t.html b/globals_t.html index 43573bc14..2ed8afd0a 100644 --- a/globals_t.html +++ b/globals_t.html @@ -99,33 +99,35 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
  • test() : rat_maze.cpp , vigenere_cipher.cpp -, shortest_common_supersequence.cpp +, cut_rod.cpp +, check_amicable_pair.cpp , double_factorial.cpp +, shortest_common_supersequence.cpp , fibonacci.cpp -, word_break.cpp , sum_of_digits.cpp -, smallest_circle.cpp , xor_cipher.cpp -, jarvis_algorithm.cpp +, word_break.cpp +, smallest_circle.cpp , median_search.cpp +, jarvis_algorithm.cpp , bogo_sort.cpp -, is_graph_bipartite.cpp , gnome_sort.cpp -, heap_sort.cpp , caesar_cipher.cpp , trie_tree.cpp -, jumpgame.cpp +, is_graph_bipartite.cpp +, heap_sort.cpp , merge_insertion_sort.cpp +, jumpgame.cpp , pancake_sort.cpp -, neural_network.cpp , strand_sort.cpp +, 0_1_knapsack.cpp +, neural_network.cpp , horspool.cpp -, cut_rod.cpp , armstrong_number.cpp -, check_amicable_pair.cpp
  • test1() -: kohonen_som_trace.cpp +: kohonen_som_topology.cpp +, kohonen_som_trace.cpp , large_factorial.cpp , sum_of_digits.cpp , brent_method_extrema.cpp @@ -136,7 +138,6 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable(); , hill_cipher.cpp , hamiltons_cycle.cpp , adaline_learning.cpp -, kohonen_som_topology.cpp
  • test2() : hill_cipher.cpp @@ -154,21 +155,21 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable(); , smallest_circle.cpp
  • test3() -: smallest_circle.cpp -, kohonen_som_topology.cpp -, hamiltons_cycle.cpp +: golden_search_extrema.cpp , adaline_learning.cpp +, hamiltons_cycle.cpp +, kohonen_som_topology.cpp , kohonen_som_trace.cpp , brent_method_extrema.cpp -, golden_search_extrema.cpp +, smallest_circle.cpp
  • test_1() : heavy_light_decomposition.cpp , pigeonhole_sort.cpp
  • test_2() -: heavy_light_decomposition.cpp -, pigeonhole_sort.cpp +: pigeonhole_sort.cpp +, heavy_light_decomposition.cpp
  • test_2d_classes() : kohonen_som_topology.cpp @@ -205,8 +206,8 @@ $(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 @@ -215,20 +216,20 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable(); : brute_force_string_searching.cpp
  • tests() -: insertion_sort.cpp -, hopcroft_karp.cpp -, check_factorial.cpp -, sieve_of_eratosthenes.cpp -, least_common_multiple.cpp -, miller_rabin.cpp -, breadth_first_search.cpp +: least_common_multiple.cpp , number_of_positive_divisors.cpp -, double_factorial.cpp +, miller_rabin.cpp +, check_factorial.cpp , lowest_common_ancestor.cpp -, complex_numbers.cpp -, comb_sort.cpp +, sieve_of_eratosthenes.cpp , dijkstra.cpp +, hopcroft_karp.cpp , connected_components.cpp +, complex_numbers.cpp +, insertion_sort.cpp +, breadth_first_search.cpp +, double_factorial.cpp +, comb_sort.cpp
  • TH() : tower_of_hanoi.cpp diff --git a/index.html b/index.html index 5433509ed..87b189649 100644 --- a/index.html +++ b/index.html @@ -96,10 +96,10 @@ $(document).ready(function(){initNavTree('index.html',''); initResizable(); });

    Gitpod Ready-to-Code Language grade: C/C++ Gitter chat contributions welcome GitHub repo size Doxygen CI Awesome CI

    -

    +

    Overview

    The repository is a collection of open-source implementation of a variety of algorithms implemented in C++ and licensed under MIT License. The algorithms span a variety of topics from computer science, mathematics and statistics, data science, machine learning, engineering, etc.. The implementations and the associated documentation are meant to provide a learning resource for educators and students. Hence, one may find more than one implementation for the same objective but using a different algorithm strategies and optimizations.

    -

    +

    Features

    • The repository provides implementations of various algorithms in one of the most fundamental general purpose languages - C++.
      • @@ -110,12 +110,12 @@ Features
    • Self-checks within programs ensure correct implementations with confidence.
    • Modular implementations and OpenSource licensing enable the functions to be utilized conveniently in other applications.
    -

    +

    Documentation

    Online Documentation is generated from the repository source codes directly. The documentation contains all resources including source code snippets, details on execution of the programs, diagrammatic representation of program flow, and links to external resources where necessary. The documentation also introduces interactive source code with links to documentation for C++ STL library functions used. Click on Files menu to see the list of all the files documented with the code.

    Documentation of Algorithms in C++ by The Algorithms Contributors is licensed under CC BY-SA 4.0
    Creative Commons LicenseCredit must be given to the creatorAdaptations must be shared under the same terms

    -

    +

    Contributions

    As a community developed and maintained repository, we welcome new un-plagiarized quality contributions. Please read our Contribution Guidelines.

    diff --git a/namespacemembers.html b/namespacemembers.html index e86dd8d60..80cb5b281 100644 --- a/namespacemembers.html +++ b/namespacemembers.html @@ -223,12 +223,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
  • isPossible() : backtracking
    • -
  • isSafe() -: backtracking -
  • issafe() : backtracking
    • +
  • isSafe() +: backtracking +
    • diff --git a/namespacemembers_func.html b/namespacemembers_func.html index 2668b26dd..e99c9868d 100644 --- a/namespacemembers_func.html +++ b/namespacemembers_func.html @@ -220,12 +220,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
  • isPossible() : backtracking
    • -
  • isSafe() -: backtracking -
  • issafe() : backtracking
    • +
  • isSafe() +: backtracking +
    • diff --git a/namespaces.html b/namespaces.html index 3aeac4aa2..1659f9541 100644 --- a/namespaces.html +++ b/namespaces.html @@ -111,37 +111,38 @@ $(document).ready(function(){initNavTree('namespaces.html',''); initResizable(); - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + - - - - - - - - - - - - - - + + + + + + + + + + + + + +

    Files

    file  0_1_knapsack.cpp
     Implementation of 0-1 Knapsack Problem
     
    file  cut_rod.cpp
     Implementation of cutting a rod problem.
     
     ► dynamic_programming
     ► geometry
     Nis_graph_bipartiteFunctions for checking whether a graph is bipartite or not
     NjarvisFunctions for Jarvis’s algorithm
     NkadaneFunctions for Kadane algorithm
     NlayersThis namespace contains layers used in MLP
     Nlinear_probingAn implementation of hash table using linear probing algorithm
     Nlinked_listFunctions for singly linked list algorithm
     Nmachine_learningMachine learning algorithms
     Nmedian_searchFunctions for Median search algorithm
     Nmerge_insertionCombined Intersion-Merge sorting algorithm
     Nn_queensFunctions for Eight Queens puzzle
     Nn_queens_all_solutionsFunctions for Eight Queens puzzle with all solutions
     Nneural_networkNeural Network or Multilayer Perceptron
     NothersOther algorithms
     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
     Nrange_queriesAlgorithms and Data Structures that support range queries and updates
     Nrat_mazeFunctions for  NKnapsackImplementation of 0-1 Knapsack problem
     NlayersThis namespace contains layers used in MLP
     Nlinear_probingAn implementation of hash table using linear probing algorithm
     Nlinked_listFunctions for singly linked list algorithm
     Nmachine_learningMachine learning algorithms
     Nmedian_searchFunctions for Median search algorithm
     Nmerge_insertionCombined Intersion-Merge sorting algorithm
     Nn_queensFunctions for Eight Queens puzzle
     Nn_queens_all_solutionsFunctions for Eight Queens puzzle with all solutions
     Nneural_networkNeural Network or Multilayer Perceptron
     NothersOther algorithms
     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
     Nrange_queriesAlgorithms and Data Structures that support range queries and updates
     Nrat_mazeFunctions for Rat in a Maze 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
     Nutil_functionsVarious utility functions used in Neural network
     NvigenereFunctions for vigenère cipher algorithm
     Nword_breakFunctions for Word Break problem
     NXORFunctions for XOR cipher 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
     Nutil_functionsVarious utility functions used in Neural network
     NvigenereFunctions for vigenère cipher algorithm
     Nword_breakFunctions for Word Break problem
     NXORFunctions for XOR cipher algorithm
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