diff --git a/d0/d77/longest__palindromic__subsequence_8cpp.html b/d0/d77/longest__palindromic__subsequence_8cpp.html index 249534c3b..212498cd4 100644 --- a/d0/d77/longest__palindromic__subsequence_8cpp.html +++ b/d0/d77/longest__palindromic__subsequence_8cpp.html @@ -98,12 +98,13 @@ $(document).ready(function(){initNavTree('d0/d77/longest__palindromic__subsequen
+Namespaces | Functions
longest_palindromic_subsequence.cpp File Reference
-

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

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

#include <cassert>
#include <string>
@@ -115,97 +116,29 @@ Include dependency graph for longest_palindromic_subsequence.cpp:
+ + + + +

+Namespaces

namespace  dynamic_programming
 Dynamic Programming algorithms.
 
- - - - + + + + + + +

Functions

std::string lps (const std::string &a)
 
void test ()
 
std::string dynamic_programming::lps (const std::string &a)
 Function that returns the longest palindromic subsequence of a string.
 
static void test ()
 Self-test implementations.
 
int main ()
 Main Function.
 

Detailed Description

-

Program to find the Longest Palindormic Subsequence of a string.

+

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 (const std::string & a)
-
-

for assert for std::string for std::vector Function that returns the longest palindromic subsequence of a string

-
24 {
-
25 const auto b = std::string(a.rbegin(), a.rend());
-
26 const auto m = a.length();
-
27 using ind_type = std::string::size_type;
-
28 std::vector<std::vector<ind_type> > res(m + 1,
-
29 std::vector<ind_type>(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 (ind_type i = 0; i <= m; i++) {
-
35 for (ind_type 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 auto idx = res[m][m];
-
47 // Creating string of index+1 length
-
48 std::string ans(idx, '\0');
-
49 ind_type 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::max
T max(T... args)
- -
-Here is the call graph for this function:
-
-
-
-
- -
-

◆ main()

@@ -221,47 +154,59 @@ Here is the call graph for this function:
-

Main Function

-
85 {
-
86 test(); // execute the tests
-
87 return 0;
-
88}
-
test
void test()
Definition: longest_palindromic_subsequence.cpp:75
+ +

Main Function.

+
Returns
0 on exit
+
97 {
+
98 test(); // execute the tests
+
99 return 0;
+
100}
+
test
static void test()
Self-test implementations.
Definition: longest_palindromic_subsequence.cpp:86
Here is the call graph for this function:
-
+
- -

◆ test()

+ +

◆ test()

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

Test function

-
75 {
-
76 assert(lps("radar") == "radar");
-
77 assert(lps("abbcbaa") == "abcba");
-
78 assert(lps("bbbab") == "bbbb");
-
79 assert(lps("") == "");
-
80}
-
lps
std::string lps(const std::string &a)
Definition: longest_palindromic_subsequence.cpp:24
+ +

Self-test implementations.

+
Returns
void
+
86 {
+
87 assert(dynamic_programming::lps("radar") == "radar");
+
88 assert(dynamic_programming::lps("abbcbaa") == "abcba");
+
89 assert(dynamic_programming::lps("bbbab") == "bbbb");
+
90 assert(dynamic_programming::lps("") == "");
+
91}
+
dynamic_programming::lps
std::string lps(const std::string &a)
Function that returns the longest palindromic subsequence of a string.
Definition: longest_palindromic_subsequence.cpp:31
Here is the call graph for this function:
-
+
diff --git a/d0/d77/longest__palindromic__subsequence_8cpp.js b/d0/d77/longest__palindromic__subsequence_8cpp.js index ea9f00861..ebf2a9705 100644 --- a/d0/d77/longest__palindromic__subsequence_8cpp.js +++ b/d0/d77/longest__palindromic__subsequence_8cpp.js @@ -1,6 +1,6 @@ var longest__palindromic__subsequence_8cpp = [ - [ "lps", "d0/d77/longest__palindromic__subsequence_8cpp.html#a4f863610aebbc218f90a7adfde240cb4", null ], + [ "lps", "d0/d77/longest__palindromic__subsequence_8cpp.html#afe9f45b6e30ee187509da2d1d0093412", null ], [ "main", "d0/d77/longest__palindromic__subsequence_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], - [ "test", "d0/d77/longest__palindromic__subsequence_8cpp.html#ae1a3968e7947464bee7714f6d43b7002", null ] + [ "test", "d0/d77/longest__palindromic__subsequence_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ] ]; \ No newline at end of file diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_a4f863610aebbc218f90a7adfde240cb4_cgraph.map b/d0/d77/longest__palindromic__subsequence_8cpp_a4f863610aebbc218f90a7adfde240cb4_cgraph.map deleted file mode 100644 index 9d0375fab..000000000 --- a/d0/d77/longest__palindromic__subsequence_8cpp_a4f863610aebbc218f90a7adfde240cb4_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_a4f863610aebbc218f90a7adfde240cb4_cgraph.md5 b/d0/d77/longest__palindromic__subsequence_8cpp_a4f863610aebbc218f90a7adfde240cb4_cgraph.md5 deleted file mode 100644 index 55f1ee1eb..000000000 --- a/d0/d77/longest__palindromic__subsequence_8cpp_a4f863610aebbc218f90a7adfde240cb4_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -904cb982eea6a95745b27faebc89844e \ No newline at end of file diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_a4f863610aebbc218f90a7adfde240cb4_cgraph.svg b/d0/d77/longest__palindromic__subsequence_8cpp_a4f863610aebbc218f90a7adfde240cb4_cgraph.svg deleted file mode 100644 index f68e06c4e..000000000 --- a/d0/d77/longest__palindromic__subsequence_8cpp_a4f863610aebbc218f90a7adfde240cb4_cgraph.svg +++ /dev/null @@ -1,36 +0,0 @@ - - - - - - -lps - - -Node1 - - -lps - - - - - -Node2 - - -std::max - - - - - -Node1->Node2 - - - - - diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map b/d0/d77/longest__palindromic__subsequence_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map new file mode 100644 index 000000000..9157bfa39 --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map @@ -0,0 +1,5 @@ + + + + + diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 b/d0/d77/longest__palindromic__subsequence_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 new file mode 100644 index 000000000..b5589e30a --- /dev/null +++ b/d0/d77/longest__palindromic__subsequence_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 @@ -0,0 +1 @@ +70ef56bd2349eea0f0d20c5ae9648573 \ 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_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg similarity index 51% rename from d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.svg rename to d0/d77/longest__palindromic__subsequence_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg index 47a94b6fa..d0996647f 100644 --- a/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.svg +++ b/d0/d77/longest__palindromic__subsequence_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg @@ -4,14 +4,14 @@ - + test Node1 - + test @@ -20,32 +20,32 @@ Node2 - - -lps + + +dynamic_programming::lps Node1->Node2 - - + + Node3 - -std::max + +std::max Node2->Node3 - - + + diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.map b/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.map deleted file mode 100644 index d298e6b0b..000000000 --- a/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.md5 b/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.md5 deleted file mode 100644 index 07ef7958d..000000000 --- a/d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -67a490483bd8df7dfedbc90400d94d06 \ No newline at end of file diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map index bab78751d..e9ee81804 100644 --- a/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map +++ b/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -1,6 +1,6 @@ - - - - + + + + diff --git a/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 index e62064c86..0d99579bf 100644 --- a/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 +++ b/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -1 +1 @@ -80366458777ca781ef177e83f4b3c694 \ No newline at end of file +f98ea532d4eb17bb2b7c941d9711887b \ 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 index 3e45a7b95..24942e758 100644 --- a/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg +++ b/d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -4,14 +4,14 @@ - + main Node1 - + main @@ -20,7 +20,7 @@ Node2 - + test @@ -35,32 +35,32 @@ Node3 - - -lps + + +dynamic_programming::lps Node2->Node3 - - + + Node4 - -std::max + +std::max Node3->Node4 - - + + diff --git a/dd/d24/namespacedynamic__programming.html b/dd/d24/namespacedynamic__programming.html index a26873c4f..afba51033 100644 --- a/dd/d24/namespacedynamic__programming.html +++ b/dd/d24/namespacedynamic__programming.html @@ -111,6 +111,9 @@ Functions
uint64_t LIS (const std::vector< uint64_t > &a, const uint32_t &n)
 Calculate the longest increasing subsequence for the specified numbers.

  +std::string lps (const std::string &a) + Function that returns the longest palindromic subsequence of a string.
+  int maxCircularSum (std::vector< int > &arr)  returns the maximum contiguous circular sum of an array
  @@ -193,6 +196,89 @@ Here is the call graph for this function:
+
+
+ +

◆ lps()

+ +
+
+ + + + + + + + +
std::string dynamic_programming::lps (const std::string & a)
+
+ +

Function that returns the longest palindromic subsequence of a string.

+
Parameters
+ + +
astring whose longest palindromic subsequence is to be found
+
+
+
Returns
longest palindromic subsequence of the string
+
31 {
+
32 const auto b = std::string(a.rbegin(), a.rend());
+
33 const auto m = a.length();
+
34 using ind_type = std::string::size_type;
+
35 std::vector<std::vector<ind_type> > res(m + 1,
+
36 std::vector<ind_type>(m + 1));
+
37
+
38 // Finding the length of the longest
+
39 // palindromic subsequence and storing
+
40 // in a 2D array in bottoms-up manner
+
41 for (ind_type i = 0; i <= m; i++) {
+
42 for (ind_type j = 0; j <= m; j++) {
+
43 if (i == 0 || j == 0) {
+
44 res[i][j] = 0;
+
45 } else if (a[i - 1] == b[j - 1]) {
+
46 res[i][j] = res[i - 1][j - 1] + 1;
+
47 } else {
+
48 res[i][j] = std::max(res[i - 1][j], res[i][j - 1]);
+
49 }
+
50 }
+
51 }
+
52 // Length of longest palindromic subsequence
+
53 auto idx = res[m][m];
+
54 // Creating string of index+1 length
+
55 std::string ans(idx, '\0');
+
56 ind_type i = m, j = m;
+
57
+
58 // starting from right-most bottom-most corner
+
59 // and storing them one by one in ans
+
60 while (i > 0 && j > 0) {
+
61 // if current characters in a and b are same
+
62 // then it is a part of the ans
+
63 if (a[i - 1] == b[j - 1]) {
+
64 ans[idx - 1] = a[i - 1];
+
65 i--;
+
66 j--;
+
67 idx--;
+
68 }
+
69 // If they are not same, find the larger of the
+
70 // two and move in that direction
+
71 else if (res[i - 1][j] > res[i][j - 1]) {
+
72 i--;
+
73 } else {
+
74 j--;
+
75 }
+
76 }
+
77
+
78 return ans;
+
79}
+ +
+Here is the call graph for this function:
+
+
+
+
+
diff --git a/dd/d24/namespacedynamic__programming_afe9f45b6e30ee187509da2d1d0093412_cgraph.map b/dd/d24/namespacedynamic__programming_afe9f45b6e30ee187509da2d1d0093412_cgraph.map new file mode 100644 index 000000000..c031e62a5 --- /dev/null +++ b/dd/d24/namespacedynamic__programming_afe9f45b6e30ee187509da2d1d0093412_cgraph.map @@ -0,0 +1,4 @@ + + + + diff --git a/dd/d24/namespacedynamic__programming_afe9f45b6e30ee187509da2d1d0093412_cgraph.md5 b/dd/d24/namespacedynamic__programming_afe9f45b6e30ee187509da2d1d0093412_cgraph.md5 new file mode 100644 index 000000000..f0cd378c4 --- /dev/null +++ b/dd/d24/namespacedynamic__programming_afe9f45b6e30ee187509da2d1d0093412_cgraph.md5 @@ -0,0 +1 @@ +a5c5590509e672b7349efec3cef95ec2 \ No newline at end of file diff --git a/dd/d24/namespacedynamic__programming_afe9f45b6e30ee187509da2d1d0093412_cgraph.svg b/dd/d24/namespacedynamic__programming_afe9f45b6e30ee187509da2d1d0093412_cgraph.svg new file mode 100644 index 000000000..7e9f69b51 --- /dev/null +++ b/dd/d24/namespacedynamic__programming_afe9f45b6e30ee187509da2d1d0093412_cgraph.svg @@ -0,0 +1,36 @@ + + + + + + +dynamic_programming::lps + + +Node1 + + +dynamic_programming::lps + + + + + +Node2 + + +std::max + + + + + +Node1->Node2 + + + + + diff --git a/dir_8a20dd5bfd5341a725342bf72b6b686f.html b/dir_8a20dd5bfd5341a725342bf72b6b686f.html index 3d50e33ef..c5c8ee75e 100644 --- a/dir_8a20dd5bfd5341a725342bf72b6b686f.html +++ b/dir_8a20dd5bfd5341a725342bf72b6b686f.html @@ -125,7 +125,7 @@ Files  Calculate the length of the longest increasing subsequence in an array.
  file  longest_palindromic_subsequence.cpp - Program to find the Longest Palindormic Subsequence of a string.
+ Program to find the Longest Palindormic Subsequence of a string.
  file  maximum_circular_subarray.cpp  C++ program for maximum contiguous circular sum problem using Kadane's Algorithm
diff --git a/files.html b/files.html index 047192417..3214ab580 100644 --- a/files.html +++ b/files.html @@ -175,7 +175,7 @@ solve-a-rat-in-a-maze-c-java-pytho/" target="_blank">Rat in a Maze algorithm  house_robber.cppImplementation of House Robber Problem algorithm  kadane2.cppImplementation of Kadane Algorithm  longest_increasing_subsequence.cppCalculate the length of the longest increasing subsequence in an array - longest_palindromic_subsequence.cppProgram to find the Longest Palindormic Subsequence of a string + longest_palindromic_subsequence.cppProgram to find the Longest Palindormic Subsequence of a string  maximum_circular_subarray.cppC++ program for maximum contiguous circular sum problem using Kadane's Algorithm  minimum_edit_distance.cppImplementation of Minimum Edit Distance using Dynamic Programing  palindrome_partitioning.cppImplements Palindrome Partitioning algorithm, giving you the minimum number of partitions you need to make diff --git a/globals_func_l.html b/globals_func_l.html index 91c7cacf4..969551d3f 100644 --- a/globals_func_l.html +++ b/globals_func_l.html @@ -106,7 +106,6 @@ $(document).ready(function(){initNavTree('globals_func_l.html',''); initResizabl
  • levelOrder() : avltree.cpp
  • LinearSearch() : linear_search.cpp
  • lower() : text_search.cpp
    • -
  • lps() : longest_palindromic_subsequence.cpp
  • lu_decomposition() : lu_decomposition.h
    • diff --git a/globals_func_t.html b/globals_func_t.html index 5decd11f1..a303904c9 100644 --- a/globals_func_t.html +++ b/globals_func_t.html @@ -101,7 +101,7 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl

    - t -

    diff --git a/globals_t.html b/globals_t.html index 91ba41ac2..98a46c219 100644 --- a/globals_t.html +++ b/globals_t.html @@ -101,7 +101,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();

    - t -

    diff --git a/namespacemembers_func.html b/namespacemembers_func.html index 13ced781e..c679d3d11 100644 --- a/namespacemembers_func.html +++ b/namespacemembers_func.html @@ -200,6 +200,7 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
  • lcmSum() : math
  • linearProbe() : linear_probing
  • LIS() : dynamic_programming
    • +
  • lps() : dynamic_programming
    • diff --git a/namespaces_dup.js b/namespaces_dup.js index f9262a14b..68772b5b5 100644 --- a/namespaces_dup.js +++ b/namespaces_dup.js @@ -31,6 +31,7 @@ var namespaces_dup = [ "dp", "df/d88/namespacedp.html", null ], [ "dynamic_programming", "dd/d24/namespacedynamic__programming.html", [ [ "LIS", "dd/d24/namespacedynamic__programming.html#a0a2215194e58786c34db1ccaf8031079", null ], + [ "lps", "dd/d24/namespacedynamic__programming.html#afe9f45b6e30ee187509da2d1d0093412", null ], [ "maxCircularSum", "dd/d24/namespacedynamic__programming.html#a5239174fa0d987f2c67edc1f2af82beb", null ] ] ], [ "false_position", "df/dea/namespacefalse__position.html", null ], diff --git a/navtreedata.js b/navtreedata.js index 329c0fc4f..cabdc737c 100644 --- a/navtreedata.js +++ b/navtreedata.js @@ -147,8 +147,8 @@ var NAVTREEINDEX = "d9/dae/classdata__structures_1_1_bitset.html#ae86688cf99b77342deedb75149573e73", "db/d07/spiral__print_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", 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