diff --git a/d3/d40/graph__coloring_8cpp.html b/d3/d40/graph__coloring_8cpp.html
index f82933d2a..5df72cfc2 100644
--- a/d3/d40/graph__coloring_8cpp.html
+++ b/d3/d40/graph__coloring_8cpp.html
@@ -200,6 +200,7 @@ Functions
void shell_sort(T *arr, size_t LEN)
Definition: shell_sort2.cpp:45
int main()
Definition: fibonacci_search.cpp:123
+std::vector< std::vector< T > > buildTable(const std::vector< T > &A, const std::vector< T > &logs)
Definition: sparse_table.cpp:54
std::string tolowerRoman(int n)
Definition: decimal_to_roman_numeral.cpp:24
void test_f(const int NUM_DATA)
Definition: shell_sort2.cpp:145
String search algorithms.
Definition: brute_force_string_searching.cpp:13
@@ -297,6 +298,7 @@ Functions
int main()
Definition: buzz_number.cpp:9
+int main()
Definition: sparse_table.cpp:92
int fibonacci_search(const std::vector< int > &arr, int value)
using fibonacci search algorithm finds an index of a given element in a sorted array
Definition: fibonacci_search.cpp:23
static void test_function_2()
Test function 2 with input array {'1', '2', '+', '2', '/', '5', '*', '7', '+'}.
Definition: postfix_evaluation.cpp:159
Functions to compute QR decomposition of any rectangular matrix.
@@ -321,10 +323,12 @@ Functions
int main()
Definition: smallest_circle.cpp:198
void test_int(const int NUM_DATA)
Definition: shell_sort2.cpp:105
void dfs_par(int u, int p=-1)
Utility function to assign highest parent that can be reached though heavy chains.
Definition: heavy_light_decomposition.cpp:371
+Range queries using sparse-tables.
int ** pascal_triangle(int **arr, int n)
Definition: pascal_triangle.cpp:36
void CombSort(int *arr, int l, int r)
Definition: comb_sort.cpp:42
void quicksort(std::vector< T > *arr, int32_t low, int32_t high)
Definition: quick_sort_3.cpp:94
node * insert(node *root, int item)
Definition: avltree.cpp:66
+std::vector< T > computeLogs(const std::vector< T > &A)
Definition: sparse_table.cpp:36
std::vector< int > h_heavychlid
stores the heavy child of a node
Definition: heavy_light_decomposition.cpp:340
@@ -333,6 +337,7 @@ Functions
int main()
Definition: matrix_exponentiation.cpp:126
std::vector< std::list< int > > t_adj
an adjacency list to stores the tree edges
Definition: heavy_light_decomposition.cpp:83
Creates an array to be used as stack for storing values.
Definition: postfix_evaluation.cpp:32
+int getMinimum(int beg, int end, const std::vector< T > &logs, const std::vector< std::vector< T > > &table)
Definition: sparse_table.cpp:81
std::vector< X > s_tree
Everything here is private, and can only be accessed through the methods, in the derived class (HLD)
Definition: heavy_light_decomposition.cpp:262
Library functions to compute QR decomposition of a given matrix.
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 04f95be91..2f5c2b533 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
@@ -341,6 +341,7 @@ Range Queries
Heavy Light Decomposition
Mo
Segtree
+Sparse Table
Search
diff --git a/d8/dab/sparse__table_8cpp.html b/d8/dab/sparse__table_8cpp.html
new file mode 100644
index 000000000..12c5c5b85
--- /dev/null
+++ b/d8/dab/sparse__table_8cpp.html
@@ -0,0 +1,360 @@
+
+
+
+
+
+
+
+Algorithms_in_C++: range_queries/sparse_table.cpp File Reference
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
Implementation of Sparse Table data structure.
+More...
+
#include <vector>
+#include <cassert>
+#include <iostream>
+#include <algorithm>
+
+
+ range_queries
+ Algorithms and Data Structures that support range queries and updates.
+
+ sparse_table
+ Range queries using sparse-tables.
+
+
+
+
Implementation of Sparse Table data structure.
+
Sparse Table is a data structure, that allows answering range queries. It can answer most range queries in O(logn), but its true power is answering range minimum queries or equivalent range maximum queries). For those queries it can compute the answer in O(1) time.
+
+Running Time Complexity
+
+Build : O(NlogN)
+
+Range Query : O(1)
+
+
+
+
+
◆ buildTable()
+
+
+
+
+template<typename T >
+
+
+
This functions builds the primary data structure sparse table
Parameters
+
+ n value of the size of the input array
+ A array of the input integers
+ logs array of the log table
+
+
+
+
Returns created sparse table data structure
+
+
+
+
+
58 for (
int i = 0 ; i <= logs[n] ; i++) {
+
+
60 for (
int j = 0 ; j + curLen < n ; j++) {
+
+
+
+
+
65 table[i][j] =
std::min (table[i-1][j], table[i-1][j + curLen/2]);
+
+
+
+
+
+
+
+
+
+
+
+
◆ computeLogs()
+
+
+
+
+template<typename T >
+
+
+
This function precomputes intial log table for further use.
Parameters
+
+ n value of the size of the input array
+
+
+
+
Returns corresponding vector of the log table
+
+
+
+
+
40 for (
int i = 2 ; i < n ; i++) {
+
41 logs[i] = logs[i/2] + 1;
+
+
+
+
+
+
+
+
+
+
◆ getMinimum()
+
+
+
+
+template<typename T >
+
+
+ int range_queries::sparse_table::getMinimum
+ (
+ int
+ beg ,
+
+
+
+
+ int
+ end ,
+
+
+
+
+ const std::vector < T > &
+ logs ,
+
+
+
+
+ const std::vector < std::vector < T > > &
+ table
+
+
+
+ )
+
+
+
+
+
This function is the query function to get the range minimum value
Parameters
+
+ beg beginning index of the query range
+ end ending index of the query range
+ logs array of the log table
+ table sparse table data structure for the input array
+
+
+
+
Returns minimum value for the [beg, end] range for the input array
+
+
82 int p = logs[
end - beg + 1];
+
+
84 return std::min (table[p][beg], table[p][end - pLen + 1]);
+
+
+
+
+
+
+
+
◆ main()
+
+
+
+
+
+ int main
+ (
+ void
+ )
+
+
+
+
+
Main function
+
+
+
+
+
96 assert(range_queries::sparse_table::getMinimum(0, 0, logs, table) == 1);
+
97 assert(range_queries::sparse_table::getMinimum(0, 4, logs, table) == 0);
+
98 assert(range_queries::sparse_table::getMinimum(2, 4, logs, table) == 0);
+
+
+
+
+
+
+
+std::vector< std::vector< T > > buildTable(const std::vector< T > &A, const std::vector< T > &logs)
Definition: sparse_table.cpp:54
+
+
+std::vector< T > computeLogs(const std::vector< T > &A)
Definition: sparse_table.cpp:36
+
+
+
+
+
+
diff --git a/d8/dab/sparse__table_8cpp.js b/d8/dab/sparse__table_8cpp.js
new file mode 100644
index 000000000..f55f7d711
--- /dev/null
+++ b/d8/dab/sparse__table_8cpp.js
@@ -0,0 +1,7 @@
+var sparse__table_8cpp =
+[
+ [ "buildTable", "d8/dab/sparse__table_8cpp.html#a328ed1c01cccd07aeb1500c11b609be3", null ],
+ [ "computeLogs", "d8/dab/sparse__table_8cpp.html#ad71ae7840af3a52e7ee56186bb0c3063", null ],
+ [ "getMinimum", "d8/dab/sparse__table_8cpp.html#a932816c3de9e5ad122b180de60978e8f", null ],
+ [ "main", "d8/dab/sparse__table_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ]
+];
\ No newline at end of file
diff --git a/d8/dab/sparse__table_8cpp_a328ed1c01cccd07aeb1500c11b609be3_cgraph.map b/d8/dab/sparse__table_8cpp_a328ed1c01cccd07aeb1500c11b609be3_cgraph.map
new file mode 100644
index 000000000..59b0968d8
--- /dev/null
+++ b/d8/dab/sparse__table_8cpp_a328ed1c01cccd07aeb1500c11b609be3_cgraph.map
@@ -0,0 +1,4 @@
+
+
+
+
diff --git a/d8/dab/sparse__table_8cpp_a328ed1c01cccd07aeb1500c11b609be3_cgraph.md5 b/d8/dab/sparse__table_8cpp_a328ed1c01cccd07aeb1500c11b609be3_cgraph.md5
new file mode 100644
index 000000000..b4634fd31
--- /dev/null
+++ b/d8/dab/sparse__table_8cpp_a328ed1c01cccd07aeb1500c11b609be3_cgraph.md5
@@ -0,0 +1 @@
+0fe5c91afce7cef4a8c16c95ec5e22bf
\ No newline at end of file
diff --git a/d8/dab/sparse__table_8cpp_a328ed1c01cccd07aeb1500c11b609be3_cgraph.svg b/d8/dab/sparse__table_8cpp_a328ed1c01cccd07aeb1500c11b609be3_cgraph.svg
new file mode 100644
index 000000000..6b822a578
--- /dev/null
+++ b/d8/dab/sparse__table_8cpp_a328ed1c01cccd07aeb1500c11b609be3_cgraph.svg
@@ -0,0 +1,44 @@
+
+
+
+
+
+
+range_queries::sparse_table::buildTable
+
+
+
+Node1
+
+
+range_queries::sparse
+_table::buildTable
+
+
+
+
+
+Node1->Node1
+
+
+
+
+
+Node2
+
+
+std::vector::size
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
diff --git a/d8/dab/sparse__table_8cpp_a932816c3de9e5ad122b180de60978e8f_cgraph.map b/d8/dab/sparse__table_8cpp_a932816c3de9e5ad122b180de60978e8f_cgraph.map
new file mode 100644
index 000000000..cadc20148
--- /dev/null
+++ b/d8/dab/sparse__table_8cpp_a932816c3de9e5ad122b180de60978e8f_cgraph.map
@@ -0,0 +1,3 @@
+
+
+
diff --git a/d8/dab/sparse__table_8cpp_a932816c3de9e5ad122b180de60978e8f_cgraph.md5 b/d8/dab/sparse__table_8cpp_a932816c3de9e5ad122b180de60978e8f_cgraph.md5
new file mode 100644
index 000000000..944ac15a8
--- /dev/null
+++ b/d8/dab/sparse__table_8cpp_a932816c3de9e5ad122b180de60978e8f_cgraph.md5
@@ -0,0 +1 @@
+46c5b3c92dc937b2510345d99a60a497
\ No newline at end of file
diff --git a/d8/dab/sparse__table_8cpp_a932816c3de9e5ad122b180de60978e8f_cgraph.svg b/d8/dab/sparse__table_8cpp_a932816c3de9e5ad122b180de60978e8f_cgraph.svg
new file mode 100644
index 000000000..ab942b161
--- /dev/null
+++ b/d8/dab/sparse__table_8cpp_a932816c3de9e5ad122b180de60978e8f_cgraph.svg
@@ -0,0 +1,29 @@
+
+
+
+
+
+
+range_queries::sparse_table::getMinimum
+
+
+
+Node1
+
+
+range_queries::sparse
+_table::getMinimum
+
+
+
+
+
+Node1->Node1
+
+
+
+
+
diff --git a/d8/dab/sparse__table_8cpp_ad71ae7840af3a52e7ee56186bb0c3063_cgraph.map b/d8/dab/sparse__table_8cpp_ad71ae7840af3a52e7ee56186bb0c3063_cgraph.map
new file mode 100644
index 000000000..2de8ee61c
--- /dev/null
+++ b/d8/dab/sparse__table_8cpp_ad71ae7840af3a52e7ee56186bb0c3063_cgraph.map
@@ -0,0 +1,4 @@
+
+
+
+
diff --git a/d8/dab/sparse__table_8cpp_ad71ae7840af3a52e7ee56186bb0c3063_cgraph.md5 b/d8/dab/sparse__table_8cpp_ad71ae7840af3a52e7ee56186bb0c3063_cgraph.md5
new file mode 100644
index 000000000..ee99364cc
--- /dev/null
+++ b/d8/dab/sparse__table_8cpp_ad71ae7840af3a52e7ee56186bb0c3063_cgraph.md5
@@ -0,0 +1 @@
+be2e89574a03b19dbda1280c1132f456
\ No newline at end of file
diff --git a/d8/dab/sparse__table_8cpp_ad71ae7840af3a52e7ee56186bb0c3063_cgraph.svg b/d8/dab/sparse__table_8cpp_ad71ae7840af3a52e7ee56186bb0c3063_cgraph.svg
new file mode 100644
index 000000000..bbc6fcd1a
--- /dev/null
+++ b/d8/dab/sparse__table_8cpp_ad71ae7840af3a52e7ee56186bb0c3063_cgraph.svg
@@ -0,0 +1,44 @@
+
+
+
+
+
+
+range_queries::sparse_table::computeLogs
+
+
+
+Node1
+
+
+range_queries::sparse
+_table::computeLogs
+
+
+
+
+
+Node1->Node1
+
+
+
+
+
+Node2
+
+
+std::vector::size
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
diff --git a/d9/d55/namespacesparse__table.html b/d9/d55/namespacesparse__table.html
new file mode 100644
index 000000000..fda44214b
--- /dev/null
+++ b/d9/d55/namespacesparse__table.html
@@ -0,0 +1,112 @@
+
+
+
+
+
+
+
+Algorithms_in_C++: sparse_table Namespace Reference
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
Range queries using sparse-tables.
+More...
+
+
Range queries using sparse-tables.
+
+
+
+
+
+
diff --git a/dd/d69/namespacerange__queries.html b/dd/d69/namespacerange__queries.html
index 9ebf0e481..642b54312 100644
--- a/dd/d69/namespacerange__queries.html
+++ b/dd/d69/namespacerange__queries.html
@@ -99,6 +99,7 @@ $(document).ready(function(){initNavTree('dd/d69/namespacerange__queries.html','
More...
Algorithms and Data Structures that support range queries and updates.
+
Range Queries algorithms.
diff --git a/de/d24/sparse__table_8cpp__incl.map b/de/d24/sparse__table_8cpp__incl.map
new file mode 100644
index 000000000..b524872de
--- /dev/null
+++ b/de/d24/sparse__table_8cpp__incl.map
@@ -0,0 +1,7 @@
+
+
+
+
+
+
+
diff --git a/de/d24/sparse__table_8cpp__incl.md5 b/de/d24/sparse__table_8cpp__incl.md5
new file mode 100644
index 000000000..e8c964469
--- /dev/null
+++ b/de/d24/sparse__table_8cpp__incl.md5
@@ -0,0 +1 @@
+507ad65bb8adead38b95158564d398c0
\ No newline at end of file
diff --git a/de/d24/sparse__table_8cpp__incl.svg b/de/d24/sparse__table_8cpp__incl.svg
new file mode 100644
index 000000000..5c7804b19
--- /dev/null
+++ b/de/d24/sparse__table_8cpp__incl.svg
@@ -0,0 +1,83 @@
+
+
+
+
+
+
+range_queries/sparse_table.cpp
+
+
+
+Node1
+
+
+range_queries/sparse
+_table.cpp
+
+
+
+
+
+Node2
+
+
+vector
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
+Node3
+
+
+cassert
+
+
+
+
+
+Node1->Node3
+
+
+
+
+
+Node4
+
+
+iostream
+
+
+
+
+
+Node1->Node4
+
+
+
+
+
+Node5
+
+
+algorithm
+
+
+
+
+
+Node1->Node5
+
+
+
+
+
diff --git a/dir_074119ce3a874b57120c49a0cc4bb5ad.html b/dir_074119ce3a874b57120c49a0cc4bb5ad.html
index d94ab130e..d23890790 100644
--- a/dir_074119ce3a874b57120c49a0cc4bb5ad.html
+++ b/dir_074119ce3a874b57120c49a0cc4bb5ad.html
@@ -103,6 +103,9 @@ Files
file heavy_light_decomposition.cpp
Heavy Light Decomposition implementation
+file sparse_table.cpp
+ Implementation of Sparse Table data structure.
+
diff --git a/dir_074119ce3a874b57120c49a0cc4bb5ad.js b/dir_074119ce3a874b57120c49a0cc4bb5ad.js
index 541ad48f2..7a1c45f73 100644
--- a/dir_074119ce3a874b57120c49a0cc4bb5ad.js
+++ b/dir_074119ce3a874b57120c49a0cc4bb5ad.js
@@ -1,5 +1,6 @@
var dir_074119ce3a874b57120c49a0cc4bb5ad =
[
[ "fenwick_tree.cpp", "d6/d2e/fenwick__tree_8cpp.html", "d6/d2e/fenwick__tree_8cpp" ],
- [ "heavy_light_decomposition.cpp", "d2/de9/heavy__light__decomposition_8cpp.html", "d2/de9/heavy__light__decomposition_8cpp" ]
+ [ "heavy_light_decomposition.cpp", "d2/de9/heavy__light__decomposition_8cpp.html", "d2/de9/heavy__light__decomposition_8cpp" ],
+ [ "sparse_table.cpp", "d8/dab/sparse__table_8cpp.html", "d8/dab/sparse__table_8cpp" ]
];
\ No newline at end of file
diff --git a/files.html b/files.html
index 304e6b230..631b66151 100644
--- a/files.html
+++ b/files.html
@@ -235,6 +235,7 @@ solve-a-rat-in-a-maze-c-java-pytho/">Rat in a Maze algorithm
► range_queries
fenwick_tree.cpp Fenwick tree
heavy_light_decomposition.cpp Heavy Light Decomposition implementation
+ sparse_table.cpp Implementation of Sparse Table data structure
► search
binary_search.cpp Binary search algorithm
exponential_search.cpp Exponential search algorithm
diff --git a/globals_func_m.html b/globals_func_m.html
index 85b6e53d1..2694a8fbf 100644
--- a/globals_func_m.html
+++ b/globals_func_m.html
@@ -101,22 +101,22 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, queue_using_two_stacks.cpp
, lowest_common_ancestor.cpp
, number_of_positive_divisors.cpp
+, quick_sort.cpp
, quick_sort_3.cpp
-, shell_sort2.cpp
, power_for_huge_numbers.cpp
+, shell_sort2.cpp
, strand_sort.cpp
-, brute_force_string_searching.cpp
, spirograph.cpp
, prime_factorization.cpp
+, brute_force_string_searching.cpp
, horspool.cpp
-, knuth_morris_pratt.cpp
, prime_numbers.cpp
+, knuth_morris_pratt.cpp
, rabin_karp.cpp
, skip_list.cpp
, jumpgame.cpp
, primes_up_to_billion.cpp
, realtime_stats.cpp
-, quick_sort.cpp
, pigeonhole_sort.cpp
, merge_sort.cpp
, merge_insertion_sort.cpp
@@ -135,6 +135,7 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, fibonacci_search.cpp
, exponential_search.cpp
, binary_search.cpp
+, sparse_table.cpp
, heavy_light_decomposition.cpp
, fenwick_tree.cpp
, poisson_dist.cpp
diff --git a/globals_func_s.html b/globals_func_s.html
index 866088b6a..bfe3b0d00 100644
--- a/globals_func_s.html
+++ b/globals_func_s.html
@@ -127,12 +127,12 @@ $(document).ready(function(){initNavTree('globals_func_s.html',''); initResizabl
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_i.html b/globals_i.html
index f77f10acf..190ee4a2c 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
-: prime_factorization.cpp
+ isPrime()
+: modular_inverse_fermat_little_theorem.cpp
IsPrime()
: primality_test.cpp
-isPrime()
-: modular_inverse_fermat_little_theorem.cpp
+ isprime
+: prime_factorization.cpp
it_ternary_search()
: ternary_search.cpp
diff --git a/globals_m.html b/globals_m.html
index d3fa2413c..c4fa55a72 100644
--- a/globals_m.html
+++ b/globals_m.html
@@ -101,16 +101,17 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, queue_using_two_stacks.cpp
, lowest_common_ancestor.cpp
, number_of_positive_divisors.cpp
+, quick_sort.cpp
, quick_sort_3.cpp
-, shell_sort2.cpp
, power_for_huge_numbers.cpp
+, shell_sort2.cpp
, strand_sort.cpp
-, brute_force_string_searching.cpp
, spirograph.cpp
, prime_factorization.cpp
+, brute_force_string_searching.cpp
, horspool.cpp
-, knuth_morris_pratt.cpp
, prime_numbers.cpp
+, knuth_morris_pratt.cpp
, rabin_karp.cpp
, skip_list.cpp
, jumpgame.cpp
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, merge_sort.cpp
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@@ -146,6 +146,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
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, exponential_search.cpp
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, fenwick_tree.cpp
, poisson_dist.cpp
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MAX
-: power_for_huge_numbers.cpp
-, fibonacci_fast.cpp
-, hash_search.cpp
+: fibonacci_fast.cpp
, ternary_search.cpp
, paranthesis_matching.cpp
+, hash_search.cpp
+, power_for_huge_numbers.cpp
MAX_ITER
: adaline_learning.cpp
MAX_ITERATIONS
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-, false_position.cpp
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merge()
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: ordinary_least_squares_regressor.cpp
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-: primes_up_to_billion.cpp
-
PRIME
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+prime
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+
prime_factorization()
: prime_factorization.cpp
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index 60322bc2d..8ec275802 100644
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show_pascal()
: pascal_triangle.cpp
-Sieve()
-: primes_up_to_billion.cpp
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sieve()
: sieve_of_eratosthenes.cpp
+Sieve()
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SieveOfEratosthenes()
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index ed1b5a2b7..c88cfe36a 100644
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- N string_search String search algorithms
- N strings Algorithms with strings
- N util_functions Various utility functions used in Neural network
- N vigenere Functions for vigenère cipher algorithm
- N XOR Functions for XOR cipher algorithm
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+ N spirograph
+ N statistics Statistical algorithms
+ N std STL namespace
+ N strand Functions for Strand Sort algorithm
+ N string_search String search algorithms
+ N strings Algorithms with strings
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+ N XOR Functions for XOR cipher algorithm
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[ "shortest_common_supersequence", "d3/deb/namespaceshortest__common__supersequence.html", null ],
[ "sorting", "d5/d91/namespacesorting.html", null ],
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[ "spirograph", "da/dd3/namespacespirograph.html", null ],
[ "statistics", "d2/dcf/namespacestatistics.html", null ],
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