From e044750129bf9bf444c861a3ef92263930caaa37 Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Fri, 5 Feb 2021 09:52:37 +0000 Subject: [PATCH] Documentation for ade6010d113b84b92766f2b31fa1bf3c38546c61 --- ...ongest__palindromic__subsequence_8cpp.html | 280 ++++++++++++ .../longest__palindromic__subsequence_8cpp.js | 6 + ...f73ddd8cd83d784036f131dfc6540c4_cgraph.map | 7 + ...f73ddd8cd83d784036f131dfc6540c4_cgraph.md5 | 1 + ...f73ddd8cd83d784036f131dfc6540c4_cgraph.svg | 82 ++++ ...1a3968e7947464bee7714f6d43b7002_cgraph.map | 8 + ...1a3968e7947464bee7714f6d43b7002_cgraph.md5 | 1 + ...1a3968e7947464bee7714f6d43b7002_cgraph.svg | 97 ++++ ...66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map | 9 + ...66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 | 1 + ...66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg | 112 +++++ ...t__palindromic__subsequence_8cpp__incl.map | 7 + ...t__palindromic__subsequence_8cpp__incl.md5 | 1 + ...t__palindromic__subsequence_8cpp__incl.svg 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a/d0/d77/longest__palindromic__subsequence_8cpp.html b/d0/d77/longest__palindromic__subsequence_8cpp.html new file mode 100644 index 000000000..012cc6f7c --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp.html @@ -0,0 +1,280 @@ + + + + + + + +Algorithms_in_C++: dynamic_programming/longest_palindromic_subsequence.cpp File Reference + + + + + + + + + + + + + + + +
+
+ + + + + + +
+
Algorithms_in_C++ +  1.0.0 +
+
Set of algorithms implemented in C++.
+
+
+ + + + + + + +
+
+ +
+
+
+ +
+ +
+
+ + +
+ +
+ +
+
+Functions
+
+
longest_palindromic_subsequence.cpp File Reference
+
+
+ +

Program to find the Longest Palindormic Subsequence of a string. +More...

+
#include <algorithm>
+#include <cassert>
+#include <iostream>
+#include <vector>
+
+Include dependency graph for longest_palindromic_subsequence.cpp:
+
+
+
+
+
+ + + + + + + +

+Functions

std::string lps (std::string a)
 
void test ()
 
int main ()
 
+

Detailed Description

+

Program to find the Longest Palindormic Subsequence of a string.

+

Palindrome string sequence of characters which reads the same backward as forward Subsequence is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements.

+
Author
Anjali Jha
+

Function Documentation

+ +

◆ lps()

+ +
+
+ + + + + + + + +
std::string lps (std::string a)
+
+

Function that returns the longest palindromic subsequence of a string

+
25  {
+
26  std::string b = a;
+
27  reverse(b.begin(), b.end());
+
28  int m = a.length();
+
29  std::vector<std::vector<int> > res(m + 1);
+
30 
+
31  // Finding the length of the longest
+
32  // palindromic subsequence and storing
+
33  // in a 2D array in bottoms-up manner
+
34  for (int i = 0; i <= m; i++) {
+
35  for (int j = 0; j <= m; j++) {
+
36  if (i == 0 || j == 0) {
+
37  res[i][j] = 0;
+
38  } else if (a[i - 1] == b[j - 1]) {
+
39  res[i][j] = res[i - 1][j - 1] + 1;
+
40  } else {
+
41  res[i][j] = std::max(res[i - 1][j], res[i][j - 1]);
+
42  }
+
43  }
+
44  }
+
45  // Length of longest palindromic subsequence
+
46  int idx = res[m][m];
+
47  // Creating string of index+1 length
+
48  std::string ans(idx + 1, '\0');
+
49  int i = m, j = m;
+
50 
+
51  // starting from right-most bottom-most corner
+
52  // and storing them one by one in ans
+
53  while (i > 0 && j > 0) {
+
54  // if current characters in a and b are same
+
55  // then it is a part of the ans
+
56  if (a[i - 1] == b[j - 1]) {
+
57  ans[idx - 1] = a[i - 1];
+
58  i--;
+
59  j--;
+
60  idx--;
+
61  }
+
62  // If they are not same, find the larger of the
+
63  // two and move in that direction
+
64  else if (res[i - 1][j] > res[i][j - 1]) {
+
65  i--;
+
66  } else {
+
67  j--;
+
68  }
+
69  }
+
70 
+
71  return ans;
+
72 }
+ +
std::string::begin
T begin(T... args)
+
std::string::end
T end(T... args)
+
ans
ll ans(ll n)
Definition: matrix_exponentiation.cpp:91
+
std::max
T max(T... args)
+
std::reverse
T reverse(T... args)
+ +
+Here is the call graph for this function:
+
+
+
+
+ +
+
+ +

◆ main()

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

Main Function

+
87  {
+
88  test(); // execute the tests
+
89  return 0;
+
90 }
+
test
void test()
Definition: longest_palindromic_subsequence.cpp:75
+
+Here is the call graph for this function:
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+
+
+ +
+
+ +

◆ test()

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

Test function

+
75  {
+
76  // lps("radar") return "radar"
+
77  assert(lps("radar") == "radar");
+
78  // lps("abbcbaa") return "abcba"
+
79  assert(lps("abbcbaa") == "abcba");
+
80  // lps("bbbab") return "bbbb"
+
81  assert(lps("bbbab") == "bbbb");
+
82 }
+
lps
std::string lps(std::string a)
Definition: longest_palindromic_subsequence.cpp:25
+
+Here is the call graph for this function:
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+ + + + diff --git a/d0/d77/longest__palindromic__subsequence_8cpp.js b/d0/d77/longest__palindromic__subsequence_8cpp.js new file mode 100644 index 000000000..0ea5ddd6b --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp.js @@ -0,0 +1,6 @@ +var longest__palindromic__subsequence_8cpp = +[ + [ "lps", "d0/d77/longest__palindromic__subsequence_8cpp.html#a6f73ddd8cd83d784036f131dfc6540c4", null ], + [ "main", "d0/d77/longest__palindromic__subsequence_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], + [ "test", "d0/d77/longest__palindromic__subsequence_8cpp.html#ae1a3968e7947464bee7714f6d43b7002", null ] +]; \ No newline at end of file diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_a6f73ddd8cd83d784036f131dfc6540c4_cgraph.map b/d0/d77/longest__palindromic__subsequence_8cpp_a6f73ddd8cd83d784036f131dfc6540c4_cgraph.map new file mode 100644 index 000000000..ec4f690f2 --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp_a6f73ddd8cd83d784036f131dfc6540c4_cgraph.map @@ -0,0 +1,7 @@ + + + + + + + diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_a6f73ddd8cd83d784036f131dfc6540c4_cgraph.md5 b/d0/d77/longest__palindromic__subsequence_8cpp_a6f73ddd8cd83d784036f131dfc6540c4_cgraph.md5 new file mode 100644 index 000000000..82508d00d --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp_a6f73ddd8cd83d784036f131dfc6540c4_cgraph.md5 @@ -0,0 +1 @@ +9b516716732199cad84b0b6bbba5f5d1 \ No newline at end of file diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_a6f73ddd8cd83d784036f131dfc6540c4_cgraph.svg b/d0/d77/longest__palindromic__subsequence_8cpp_a6f73ddd8cd83d784036f131dfc6540c4_cgraph.svg new file mode 100644 index 000000000..6803a3004 --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp_a6f73ddd8cd83d784036f131dfc6540c4_cgraph.svg @@ -0,0 +1,82 @@ + + + + + + +lps + + + +Node1 + + +lps + + + + + +Node2 + + +ans + + + + + +Node1->Node2 + + + + + +Node3 + + +std::string::begin + + + + + +Node1->Node3 + + + + + +Node4 + + +std::string::end + + + + + +Node1->Node4 + + + + + +Node5 + + +std::max + + + + + +Node1->Node5 + + + + + diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.map b/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.map new file mode 100644 index 000000000..b09d3ecbf --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.map @@ -0,0 +1,8 @@ + + + + + + + + diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.md5 b/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.md5 new file mode 100644 index 000000000..4c4a89451 --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.md5 @@ -0,0 +1 @@ +17f61914760506816df7475708c3f9ef \ No newline at end of file diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.svg b/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.svg new file mode 100644 index 000000000..fec05dcb0 --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.svg @@ -0,0 +1,97 @@ + + + + + + +test + + + +Node1 + + +test + + + + + +Node2 + + +lps + + + + + +Node1->Node2 + + + + + +Node3 + + +ans + + + + + +Node2->Node3 + + + + + +Node4 + + +std::string::begin + + + + + +Node2->Node4 + + + + + +Node5 + + +std::string::end + + + + + +Node2->Node5 + + + + + +Node6 + + +std::max + + + + + +Node2->Node6 + + + + + diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map new file mode 100644 index 000000000..7915b1cc5 --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -0,0 +1,9 @@ + + + + + + + + + diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 new file mode 100644 index 000000000..65d2f69da --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -0,0 +1 @@ +4d57ff7938f422127f4d1dafc577402d \ No newline at end of file diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg new file mode 100644 index 000000000..7dddccd03 --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -0,0 +1,112 @@ + + + + + + +main + + + +Node1 + + +main + + + + + +Node2 + + +test + + + + + +Node1->Node2 + + + + + +Node3 + + +lps + + + + + +Node2->Node3 + + + + + +Node4 + + +ans + + + + + +Node3->Node4 + + + + + +Node5 + + +std::string::begin + + + + + +Node3->Node5 + + + + + +Node6 + + +std::string::end + + + + + +Node3->Node6 + + + + + +Node7 + + +std::max + + + + + +Node3->Node7 + + + + + diff --git a/da/dc1/longest__palindromic__subsequence_8cpp__incl.map b/da/dc1/longest__palindromic__subsequence_8cpp__incl.map new file mode 100644 index 000000000..e12f631a2 --- /dev/null +++ b/da/dc1/longest__palindromic__subsequence_8cpp__incl.map @@ -0,0 +1,7 @@ + + + + + + + diff --git a/da/dc1/longest__palindromic__subsequence_8cpp__incl.md5 b/da/dc1/longest__palindromic__subsequence_8cpp__incl.md5 new file mode 100644 index 000000000..d89ffd519 --- /dev/null +++ b/da/dc1/longest__palindromic__subsequence_8cpp__incl.md5 @@ -0,0 +1 @@ +eedd430632b5865778044535e31156c1 \ No newline at end of file diff --git a/da/dc1/longest__palindromic__subsequence_8cpp__incl.svg b/da/dc1/longest__palindromic__subsequence_8cpp__incl.svg new file mode 100644 index 000000000..a751e56b4 --- /dev/null +++ b/da/dc1/longest__palindromic__subsequence_8cpp__incl.svg @@ -0,0 +1,84 @@ + + + + + + +dynamic_programming/longest_palindromic_subsequence.cpp + + + +Node1 + + +dynamic_programming +/longest_palindromic +_subsequence.cpp + + + + + +Node2 + + +algorithm + + + + + +Node1->Node2 + + + + + +Node3 + + +cassert + + + + + +Node1->Node3 + + + + + +Node4 + + +iostream + + + + + +Node1->Node4 + + + + + +Node5 + + +vector + + + + + +Node1->Node5 + + + + + diff --git a/dir_8a20dd5bfd5341a725342bf72b6b686f.html b/dir_8a20dd5bfd5341a725342bf72b6b686f.html index c85696752..44edc3c06 100644 --- a/dir_8a20dd5bfd5341a725342bf72b6b686f.html +++ b/dir_8a20dd5bfd5341a725342bf72b6b686f.html @@ -109,6 +109,9 @@ Files file  kadane2.cpp  Implementation of Kadane Algorithm
  +file  longest_palindromic_subsequence.cpp + Program to find the Longest Palindormic Subsequence of a string.
+  file  palindrome_partitioning.cpp  Implements Palindrome Partitioning algorithm, giving you the minimum number of partitions you need to make.
  diff --git a/dir_8a20dd5bfd5341a725342bf72b6b686f.js b/dir_8a20dd5bfd5341a725342bf72b6b686f.js index 49e994643..fc4306e3b 100644 --- a/dir_8a20dd5bfd5341a725342bf72b6b686f.js +++ b/dir_8a20dd5bfd5341a725342bf72b6b686f.js @@ -4,6 +4,7 @@ var dir_8a20dd5bfd5341a725342bf72b6b686f = [ "coin_change_topdown.cpp", "d9/d31/coin__change__topdown_8cpp.html", "d9/d31/coin__change__topdown_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" ], + [ "longest_palindromic_subsequence.cpp", "d0/d77/longest__palindromic__subsequence_8cpp.html", "d0/d77/longest__palindromic__subsequence_8cpp" ], [ "palindrome_partitioning.cpp", "d5/d90/palindrome__partitioning_8cpp.html", "d5/d90/palindrome__partitioning_8cpp" ], [ "shortest_common_supersequence.cpp", "d7/d65/shortest__common__supersequence_8cpp.html", "d7/d65/shortest__common__supersequence_8cpp" ], [ "word_break.cpp", "d3/d84/word__break_8cpp.html", "d3/d84/word__break_8cpp" ] diff --git a/files.html b/files.html index b7f4a2363..b75a8693f 100644 --- a/files.html +++ b/files.html @@ -135,9 +135,10 @@ solve-a-rat-in-a-maze-c-java-pytho/"  coin_change_topdown.cppMinimum coins change problem is a problem used to find the minimum number of coins required to completely reach a target amount  cut_rod.cppImplementation of cutting a rod problem  kadane2.cppImplementation of Kadane Algorithm - palindrome_partitioning.cppImplements Palindrome Partitioning algorithm, giving you the minimum number of partitions you need to make - shortest_common_supersequence.cppSCS is a string Z which is the shortest supersequence of strings X and Y (may not be continuous in Z, but order is maintained) - word_break.cppWord Break Problem + longest_palindromic_subsequence.cppProgram to find the Longest Palindormic Subsequence of a string + palindrome_partitioning.cppImplements Palindrome Partitioning algorithm, giving you the minimum number of partitions you need to make + shortest_common_supersequence.cppSCS is a string Z which is the shortest supersequence of strings X and Y (may not be continuous in Z, but order is maintained) + word_break.cppWord Break Problem  ► geometry  jarvis_algorithm.cppImplementation of Jarvis’s algorithm  line_segment_intersection.cppCheck whether two line segments intersect each other or not 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
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    • -
  • isPrime() -: modular_inverse_fermat_little_theorem.cpp -
  • IsPrime() : primality_test.cpp
    • +
  • isPrime() +: modular_inverse_fermat_little_theorem.cpp +
  • it_ternary_search() : ternary_search.cpp
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  • LinearSearch() : linear_search.cpp
    • +
  • lps() +: longest_palindromic_subsequence.cpp +
  • lu_decomposition() : lu_decomposition.h
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  • 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 3bd9c80e3..72bcafe51 100644 --- a/globals_func_t.html +++ b/globals_func_t.html @@ -106,6 +106,7 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl , 0_1_knapsack.cpp , coin_change_topdown.cpp , cut_rod.cpp +, longest_palindromic_subsequence.cpp , palindrome_partitioning.cpp , shortest_common_supersequence.cpp , word_break.cpp diff --git a/globals_i.html b/globals_i.html index 7d6b5f534..2c4850ead 100644 --- a/globals_i.html +++ b/globals_i.html @@ -126,15 +126,15 @@ $(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_l.html b/globals_l.html index de5ef93b5..8f0feb3c4 100644 --- a/globals_l.html +++ b/globals_l.html @@ -117,6 +117,9 @@ $(document).ready(function(){initNavTree('globals_l.html',''); initResizable();
  • ll : matrix_exponentiation.cpp
    • +
  • lps() +: longest_palindromic_subsequence.cpp +
  • lu_decomposition() : lu_decomposition.h
    • diff --git a/globals_m.html b/globals_m.html index 9c1202053..d39739d49 100644 --- a/globals_m.html +++ b/globals_m.html @@ -121,6 +121,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable(); , coin_change_topdown.cpp , cut_rod.cpp , kadane2.cpp +, longest_palindromic_subsequence.cpp , palindrome_partitioning.cpp , shortest_common_supersequence.cpp , word_break.cpp diff --git a/globals_s.html b/globals_s.html index b717f4e8f..3ec5d0aab 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() -: primes_up_to_billion.cpp -
  • sieve() : sieve_of_eratosthenes.cpp
    • +
  • Sieve() +: primes_up_to_billion.cpp +
  • SieveOfEratosthenes() : prime_factorization.cpp
    • diff --git a/globals_t.html b/globals_t.html index 64856cf7c..4723e83ac 100644 --- a/globals_t.html +++ b/globals_t.html @@ -106,6 +106,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable(); , 0_1_knapsack.cpp , coin_change_topdown.cpp , cut_rod.cpp +, longest_palindromic_subsequence.cpp , palindrome_partitioning.cpp , shortest_common_supersequence.cpp , word_break.cpp diff --git a/namespacemembers.html b/namespacemembers.html index 43a2f2cc8..f18d2f008 100644 --- a/namespacemembers.html +++ b/namespacemembers.html @@ -214,12 +214,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
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    • -
  • issafe() -: backtracking -
  • isSafe() : backtracking
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  • issafe() +: backtracking +
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  • isSafe() : backtracking
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