diff --git a/d3/d39/manacher__algorithm_8cpp.html b/d3/d39/manacher__algorithm_8cpp.html new file mode 100644 index 000000000..116322243 --- /dev/null +++ b/d3/d39/manacher__algorithm_8cpp.html @@ -0,0 +1,374 @@ + + + + + + + +Algorithms_in_C++: strings/manacher_algorithm.cpp File Reference + + + + + + + + + + + + + + + +
+
+ + + + + + +
+
Algorithms_in_C++ +  1.0.0 +
+
Set of algorithms implemented in C++.
+
+
+ + + + + + + +
+
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+
+
+ +
+ +
+
+ + +
+ +
+ +
+
+Namespaces | +Functions
+
+
manacher_algorithm.cpp File Reference
+
+
+ +

Implementation of Manacher's Algorithm +More...

+
#include <cassert>
+#include <iostream>
+#include <vector>
+#include <cstring>
+
+Include dependency graph for manacher_algorithm.cpp:
+
+
+
+
+
+ + + + + + + +

+Namespaces

 strings
 Algorithms with strings.
 
 manacher
 Functions for Manacher's Algorithm implementation.
 
+ + + + + + + + + + +

+Functions

std::string strings::manacher::manacher (const std::string &prototype)
 A function that implements Manacher's algorithm. More...
 
static void test ()
 Self-test implementations. More...
 
int main ()
 Main function. More...
 
+

Detailed Description

+

Implementation of Manacher's Algorithm

+

Manacher's Algorithm is used to find the longest palindromic substring within a string in O(n) time. It exploits the property of a palindrome that its first half is symmetric to the last half, and thus if the first half is a palindrome, then last half is also a palindrome.

Author
Riti Kumari
+

Function Documentation

+ +

◆ main()

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

Main function.

+
Returns
0 on exit
+
171  {
+
172  test(); // run self-test implementations
+
173  return 0;
+
174 }
+
test
static void test()
Self-test implementations.
Definition: manacher_algorithm.cpp:150
+
+Here is the call graph for this function:
+
+
+
+
+ +
+
+ +

◆ manacher()

+ +
+
+ + + + + + + + +
std::string strings::manacher::manacher (const std::string & prototype)
+
+ +

A function that implements Manacher's algorithm.

+
Parameters
+ + +
prototypeis the string where algorithm finds a palindromic substring. This string can contain any character except @ # &
+
+
+
Returns
the largest palindromic substring
+
40  {
+
41  if (prototype.size() > 0) {
+
42  // stuffing characters between the input string to handle cases with
+
43  // even length palindrome
+
44  std::string stuffed_string = "";
+
45  for (auto str : prototype) {
+
46  stuffed_string += str;
+
47  stuffed_string += "#";
+
48  }
+
49  stuffed_string = "@#" + stuffed_string + "&";
+
50 
+
51  std::vector<uint64_t> palindrome_max_half_length(
+
52  stuffed_string.size(),
+
53  0); // this array will consist of largest possible half length of
+
54  // palindrome centered at index (say i with respect to the
+
55  // stuffed string). This value will be lower bound of half
+
56  // length since single character is a palindrome in itself.
+
57 
+
58  uint64_t bigger_center =
+
59  0; // this is the index of the center of palindromic
+
60  // substring which would be considered as the larger
+
61  // palindrome, having symmetric halves
+
62 
+
63  uint64_t right = 0; // this is the maximum length of the palindrome
+
64  // from 'bigger_center' to the rightmost end
+
65 
+
66  // i is considered as center lying within one half of the palindrone
+
67  // which is centered at 'bigger_center'
+
68  for (uint64_t i = 1; i < stuffed_string.size() - 1; i++) {
+
69  if (i < right) { // when i is before right end, considering
+
70  // 'bigger_center' as center of palindrome
+
71  uint64_t opposite_to_i =
+
72  2 * bigger_center -
+
73  i; // this is the opposite end of string, if
+
74  // centered at center, and having one end as i
+
75 
+
76  // finding the minimum possible half length among
+
77  // the palindrome on having center at opposite end,
+
78  // and the string between i and right end,
+
79  // considering 'bigger_center' as center of palindrome
+
80  palindrome_max_half_length[i] = std::min(
+
81  palindrome_max_half_length[opposite_to_i], right - i);
+
82  }
+
83 
+
84  // expanding the palindrome across the maximum stored length in the
+
85  // array, centered at i
+
86  while (stuffed_string[i + (palindrome_max_half_length[i] + 1)] ==
+
87  stuffed_string[i - (palindrome_max_half_length[i] + 1)]) {
+
88  palindrome_max_half_length[i]++;
+
89  }
+
90 
+
91  // if palindrome centered at i exceeds the rightmost end of
+
92  // palindrome centered at 'bigger_center', then i will be made the
+
93  // 'bigger_center' and right value will also be updated with respect
+
94  // to center i
+
95  if (i + palindrome_max_half_length[i] > right) {
+
96  bigger_center = i;
+
97  right = i + palindrome_max_half_length[i];
+
98  }
+
99  }
+
100 
+
101  // now extracting the first largest palindrome
+
102  uint64_t half_length = 0; // half length of the largest palindrome
+
103  uint64_t center_index = 0; // index of center of the largest palindrome
+
104 
+
105  for (uint64_t i = 1; i < stuffed_string.size() - 1; i++) {
+
106  if (palindrome_max_half_length[i] > half_length) {
+
107  half_length = palindrome_max_half_length[i];
+
108  center_index = i;
+
109  }
+
110  }
+
111 
+
112  std::string palindromic_substring =
+
113  ""; // contains the resulting largest palindrome
+
114 
+
115  if (half_length > 0) {
+
116  // extra information: when '#' is the center, then palindromic
+
117  // substring will have even length, else palindromic substring will
+
118  // have odd length
+
119 
+
120  uint64_t start =
+
121  center_index - half_length +
+
122  1; // index of first character of palindromic substring
+
123  uint64_t end =
+
124  center_index + half_length -
+
125  1; // index of last character of palindromic substring
+
126  for (uint64_t index = start; index <= end; index += 2) {
+
127  palindromic_substring += stuffed_string[index];
+
128  }
+
129  } else {
+
130  // if length = 0, then there does not exist any palindrome of length
+
131  // > 1 so we can assign any character of length 1 from string as the
+
132  // palindromic substring
+
133  palindromic_substring = prototype[0];
+
134  }
+
135  return palindromic_substring;
+
136 
+
137  } else {
+
138  // handling case when string is empty
+
139  return "";
+
140  }
+
141 }
+ +
std::end
T end(T... args)
+
std::right
T right(T... args)
+
std::min
T min(T... args)
+
std::string::size
T size(T... args)
+ +
+Here is the call graph for this function:
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+ +
+
+ +

◆ test()

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

Self-test implementations.

+
Returns
void
+
150  {
+
151  assert(strings::manacher::manacher("") == "");
+
152  assert(strings::manacher::manacher("abababc") == "ababa");
+
153  assert(strings::manacher::manacher("cbaabd") == "baab");
+
154  assert(strings::manacher::manacher("DedzefDeD") == "DeD");
+
155  assert(strings::manacher::manacher("XZYYXXYZXX") == "YXXY");
+
156  assert(strings::manacher::manacher("1sm222m10abc") == "m222m");
+
157  assert(strings::manacher::manacher("798989591") == "98989");
+
158  assert(strings::manacher::manacher("xacdedcax") == "xacdedcax");
+
159  assert(strings::manacher::manacher("xaccax") == "xaccax");
+
160  assert(strings::manacher::manacher("a") == "a");
+
161  assert(strings::manacher::manacher("xy") == "x");
+
162  assert(strings::manacher::manacher("abced") == "a");
+
163 
+
164  std::cout << "All tests have passed!" << std::endl;
+
165 }
+ +
std::endl
T endl(T... args)
+
+Here is the call graph for this function:
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+ + + + diff --git a/d3/d39/manacher__algorithm_8cpp.js b/d3/d39/manacher__algorithm_8cpp.js new file mode 100644 index 000000000..a6fa14161 --- /dev/null +++ b/d3/d39/manacher__algorithm_8cpp.js @@ -0,0 +1,6 @@ +var manacher__algorithm_8cpp = +[ + [ "main", "d3/d39/manacher__algorithm_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], + [ "manacher", "d3/d39/manacher__algorithm_8cpp.html#a95e6a2976bb2f332898f373941d52098", null ], + [ "test", "d3/d39/manacher__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ] +]; \ No newline at end of file diff --git a/d3/d39/manacher__algorithm_8cpp_a95e6a2976bb2f332898f373941d52098_cgraph.map b/d3/d39/manacher__algorithm_8cpp_a95e6a2976bb2f332898f373941d52098_cgraph.map new file mode 100644 index 000000000..2155b509f --- /dev/null +++ b/d3/d39/manacher__algorithm_8cpp_a95e6a2976bb2f332898f373941d52098_cgraph.map @@ -0,0 +1,5 @@ + + + + + diff --git a/d3/d39/manacher__algorithm_8cpp_a95e6a2976bb2f332898f373941d52098_cgraph.md5 b/d3/d39/manacher__algorithm_8cpp_a95e6a2976bb2f332898f373941d52098_cgraph.md5 new file mode 100644 index 000000000..ffd10afca --- /dev/null +++ b/d3/d39/manacher__algorithm_8cpp_a95e6a2976bb2f332898f373941d52098_cgraph.md5 @@ -0,0 +1 @@ +3ad590ff0f6c247e990f2d5ccf1ee201 \ No newline at end of file diff --git a/d3/d39/manacher__algorithm_8cpp_a95e6a2976bb2f332898f373941d52098_cgraph.svg b/d3/d39/manacher__algorithm_8cpp_a95e6a2976bb2f332898f373941d52098_cgraph.svg new file mode 100644 index 000000000..1fea659d4 --- /dev/null +++ b/d3/d39/manacher__algorithm_8cpp_a95e6a2976bb2f332898f373941d52098_cgraph.svg @@ -0,0 +1,53 @@ + + + + + + +strings::manacher::manacher + + + +Node1 + + +strings::manacher:: +manacher + + + + + +Node2 + + +std::min + + + + + +Node1->Node2 + + + + + +Node3 + + +std::string::size + + + + + +Node1->Node3 + + + + + diff --git a/d3/d39/manacher__algorithm_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map b/d3/d39/manacher__algorithm_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map new file mode 100644 index 000000000..4aada47a7 --- /dev/null +++ b/d3/d39/manacher__algorithm_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map @@ -0,0 +1,4 @@ + + + + diff --git a/d3/d39/manacher__algorithm_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 b/d3/d39/manacher__algorithm_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 new file mode 100644 index 000000000..8e6db7045 --- /dev/null +++ b/d3/d39/manacher__algorithm_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 @@ -0,0 +1 @@ +e183666d54c346b35c418105d98411c7 \ No newline at end of file diff --git a/d3/d39/manacher__algorithm_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg b/d3/d39/manacher__algorithm_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg new file mode 100644 index 000000000..2edd7dfec --- /dev/null +++ b/d3/d39/manacher__algorithm_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg @@ -0,0 +1,37 @@ + + + + + + +test + + + +Node1 + + +test + + + + + +Node2 + + +std::endl + + + + + +Node1->Node2 + + + + + diff --git a/d3/d39/manacher__algorithm_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/d3/d39/manacher__algorithm_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map new file mode 100644 index 000000000..d39461df2 --- /dev/null +++ b/d3/d39/manacher__algorithm_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -0,0 +1,5 @@ + + + + + diff --git a/d3/d39/manacher__algorithm_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/d3/d39/manacher__algorithm_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 new file mode 100644 index 000000000..490631107 --- /dev/null +++ b/d3/d39/manacher__algorithm_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -0,0 +1 @@ +68fb6d2468d542c3647fd531373c740f \ No newline at end of file diff --git a/d3/d39/manacher__algorithm_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/d3/d39/manacher__algorithm_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg new file mode 100644 index 000000000..1bb100c16 --- /dev/null +++ b/d3/d39/manacher__algorithm_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -0,0 +1,52 @@ + + + + + + +main + + + +Node1 + + +main + + + + + +Node2 + + +test + + + + + +Node1->Node2 + + + + + +Node3 + + +std::endl + + + + + +Node2->Node3 + + + + + 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 869cdab4f..53fe21e29 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 @@ -469,6 +469,7 @@ Strings
  • Brute Force String Searching
  • Horspool
  • Knuth Morris Pratt
    • +
  • Manacher's Algorithm
  • Rabin Karp
    • diff --git a/d8/dc6/namespacemanacher.html b/d8/dc6/namespacemanacher.html new file mode 100644 index 000000000..de3f5aff3 --- /dev/null +++ b/d8/dc6/namespacemanacher.html @@ -0,0 +1,112 @@ + + + + + + + +Algorithms_in_C++: manacher Namespace Reference + + + + + + + + + + + + + + + +
    +
    + + + + + + +
    +
    Algorithms_in_C++ +  1.0.0 +
    +
    Set of algorithms implemented in C++.
    +
    +
    + + + + + + + +
    +
    + +
    +
    +
    + +
    + +
    +
    + + +
    + +
    + +
    +
    +
    manacher Namespace Reference
    +
    +
    + +

    Functions for Manacher's Algorithm implementation. +More...

    +

    Detailed Description

    +

    Functions for Manacher's Algorithm implementation.

    +
    +
    + + + + diff --git a/dd/d05/manacher__algorithm_8cpp__incl.map b/dd/d05/manacher__algorithm_8cpp__incl.map new file mode 100644 index 000000000..8b146b8e8 --- /dev/null +++ b/dd/d05/manacher__algorithm_8cpp__incl.map @@ -0,0 +1,7 @@ + + + + + + + diff --git a/dd/d05/manacher__algorithm_8cpp__incl.md5 b/dd/d05/manacher__algorithm_8cpp__incl.md5 new file mode 100644 index 000000000..0b0c95e42 --- /dev/null +++ b/dd/d05/manacher__algorithm_8cpp__incl.md5 @@ -0,0 +1 @@ +cd31ba6b5d41dd1c9326eee4c6bd21f1 \ No newline at end of file diff --git a/dd/d05/manacher__algorithm_8cpp__incl.svg b/dd/d05/manacher__algorithm_8cpp__incl.svg new file mode 100644 index 000000000..1950eb086 --- /dev/null +++ b/dd/d05/manacher__algorithm_8cpp__incl.svg @@ -0,0 +1,82 @@ + + + + + + +strings/manacher_algorithm.cpp + + + +Node1 + + +strings/manacher_algorithm.cpp + + + + + +Node2 + + +cassert + + + + + +Node1->Node2 + + + + + +Node3 + + +iostream + + + + + +Node1->Node3 + + + + + +Node4 + + +vector + + + + + +Node1->Node4 + + + + + +Node5 + + +cstring + + + + + +Node1->Node5 + + + + + diff --git a/df/dcb/namespacestrings.html b/df/dcb/namespacestrings.html index 2d5125c8a..23d816b4e 100644 --- a/df/dcb/namespacestrings.html +++ b/df/dcb/namespacestrings.html @@ -99,6 +99,9 @@ $(document).ready(function(){initNavTree('df/dcb/namespacestrings.html','../../' More...

    Detailed Description

    Algorithms with strings.

    +

    for std::vector STL

    +

    for assert for IO operations for string

    +

    Algorithms with strings

    diff --git a/dir_73a3cc5065b223eb41b02873c0e19f0e.html b/dir_73a3cc5065b223eb41b02873c0e19f0e.html index 5fc21b425..8e5fb29b2 100644 --- a/dir_73a3cc5065b223eb41b02873c0e19f0e.html +++ b/dir_73a3cc5065b223eb41b02873c0e19f0e.html @@ -106,6 +106,9 @@ Files file  knuth_morris_pratt.cpp  The Knuth-Morris-Pratt Algorithm for finding a pattern within a piece of text with complexity O(n + m)
      +file  manacher_algorithm.cpp + Implementation of Manacher's Algorithm
    +  file  rabin_karp.cpp  The Rabin-Karp Algorithm for finding a pattern within a piece of text with complexity O(n + m)
      diff --git a/dir_73a3cc5065b223eb41b02873c0e19f0e.js b/dir_73a3cc5065b223eb41b02873c0e19f0e.js index 3a700acc5..f14df8a9d 100644 --- a/dir_73a3cc5065b223eb41b02873c0e19f0e.js +++ b/dir_73a3cc5065b223eb41b02873c0e19f0e.js @@ -3,5 +3,6 @@ var dir_73a3cc5065b223eb41b02873c0e19f0e = [ "brute_force_string_searching.cpp", "d3/d7d/brute__force__string__searching_8cpp.html", "d3/d7d/brute__force__string__searching_8cpp" ], [ "horspool.cpp", "d3/dfe/horspool_8cpp.html", "d3/dfe/horspool_8cpp" ], [ "knuth_morris_pratt.cpp", "de/d6a/knuth__morris__pratt_8cpp.html", "de/d6a/knuth__morris__pratt_8cpp" ], + [ "manacher_algorithm.cpp", "d3/d39/manacher__algorithm_8cpp.html", "d3/d39/manacher__algorithm_8cpp" ], [ "rabin_karp.cpp", "d6/dce/rabin__karp_8cpp.html", "d6/dce/rabin__karp_8cpp" ] ]; \ No newline at end of file diff --git a/files.html b/files.html index 3517c6488..e77eb0d05 100644 --- a/files.html +++ b/files.html @@ -334,7 +334,8 @@ solve-a-rat-in-a-maze-c-java-pytho/"  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)  knuth_morris_pratt.cppThe Knuth-Morris-Pratt Algorithm for finding a pattern within a piece of text with complexity O(n + m) - rabin_karp.cppThe Rabin-Karp Algorithm for finding a pattern within a piece of text with complexity O(n + m) + manacher_algorithm.cppImplementation of Manacher's Algorithm + rabin_karp.cppThe Rabin-Karp Algorithm for finding a pattern within a piece of text with complexity O(n + m) diff --git a/globals_func_i.html b/globals_func_i.html index 2037df291..d419feb46 100644 --- a/globals_func_i.html +++ b/globals_func_i.html @@ -123,12 +123,12 @@ $(document).ready(function(){initNavTree('globals_func_i.html',''); initResizabl
  • is_square() : ordinary_least_squares_regressor.cpp
    • -
  • isPrime() -: modular_inverse_fermat_little_theorem.cpp -
  • IsPrime() : primality_test.cpp
    • +
  • isPrime() +: modular_inverse_fermat_little_theorem.cpp +
  • it_ternary_search() : ternary_search.cpp
    • diff --git a/globals_func_m.html b/globals_func_m.html index ab2d4fc8c..001dc0b0a 100644 --- a/globals_func_m.html +++ b/globals_func_m.html @@ -288,6 +288,7 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl , brute_force_string_searching.cpp , horspool.cpp , knuth_morris_pratt.cpp +, manacher_algorithm.cpp , rabin_karp.cpp
  • mat_mul() diff --git a/globals_func_t.html b/globals_func_t.html index abed27cc9..eb182c825 100644 --- a/globals_func_t.html +++ b/globals_func_t.html @@ -169,6 +169,7 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl , wave_sort.cpp , wiggle_sort.cpp , horspool.cpp +, manacher_algorithm.cpp
  • test1() : hill_cipher.cpp diff --git a/globals_i.html b/globals_i.html index ccb4f7f8a..e0a80ea03 100644 --- a/globals_i.html +++ b/globals_i.html @@ -127,15 +127,15 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
  • is_square() : ordinary_least_squares_regressor.cpp
    • -
  • isPrime() -: modular_inverse_fermat_little_theorem.cpp -
  • IsPrime() : primality_test.cpp
  • isprime : prime_factorization.cpp
    • +
  • isPrime() +: modular_inverse_fermat_little_theorem.cpp +
  • it_ternary_search() : ternary_search.cpp
    • diff --git a/globals_m.html b/globals_m.html index d5f87fe76..227da562b 100644 --- a/globals_m.html +++ b/globals_m.html @@ -288,6 +288,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable(); , brute_force_string_searching.cpp , horspool.cpp , knuth_morris_pratt.cpp +, manacher_algorithm.cpp , rabin_karp.cpp
  • mat_mul() diff --git a/globals_t.html b/globals_t.html index a2906e1ae..78d6df92a 100644 --- a/globals_t.html +++ b/globals_t.html @@ -169,6 +169,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable(); , wave_sort.cpp , wiggle_sort.cpp , horspool.cpp +, manacher_algorithm.cpp
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