Files
C-Plus-Plus/dynamic_programming/edit_distance.cpp
realstealthninja 0d766b0f8a feat: update to CXX standard 17 and add CMakeLists file to directories without them (#2746)
* chore: add cache and build comment to git ignore

* fix: add cmakelists to dynamic programming

* fix: add cmakelists to greedy_algorithms

* fix: add cmakelists to operations_on_datastructures

* fix: add cmakelists to range_queries

* fix: add `dynamic_programmin`, `greedy_algorithms`, `range_queries` and `operations_on_datastructures` subdirectories to cmakelists.txt

* fix: init of transform_reduce in dynamic_programming

* fix: add an include for functional in catalan_numbers

* chore: bump CXX standard to 20

* revert: bump CXX standard to 20

* chore: bump c++ version to 17 and add justification

Arm supports c++ 17
Esp32 supports c++ 23
decision was made to be 17 because it seemed to offer the best combatability

* fix: compilation error in catalan numbers

* fix: add <set> header to longest increasing subsequence nlogn

* fix: add cmath & algorithm header to mo.cpp

* fix: remove register key word from fast integer

* fix: replace using namespace std with std::cin and std::cout

* docs: typo in c++17

* fix: memory leak in bellman_ford

* fix: typo in bellman_ford

* fix: typo in word_break

* fix: dynamic array in coin_change

* fix dynamic array in egg_dropping puzzle

* chore: remove unnecessary comment

* fix: add vla to be an error

* chore: add extra warnings

* fix: use add_compile options instead of set()

* fix: compile options are not strings

* fix: vla in floyd_warshall

* fix: vla in egg_dropping_puzzel

* fix: vla in coin_change

* fix: vla in edit_distance

* fix: vla in floyd_warshall

* feat: remove kadane and replace it with kadane2

* fix: vla in longest_common_subsequence

* fix: int overflow in floyd_warshall

* fix: vla in lisnlogn

* fix: use const vector& instead of array

* fix: use dynamic array instead of vla in knapsack

* fix: use of and in msvc is unsupported by default adding permissive flag fixes it

* test: make executables the tests themselves

* Revert "test: make executables the tests themselves"

This reverts commit 7a16c31c4e.

* fix: make dist constant in print

* fix: namespace issue in unbounded_0_1

* fix: include cstdint to fix compilation
2024-11-04 18:00:20 +05:30

87 lines
2.3 KiB
C++

/* Given two strings str1 & str2
* and below operations that can
* be performed on str1. Find
* minimum number of edits
* (operations) required to convert
* 'str1' into 'str2'/
* a. Insert
* b. Remove
* c. Replace
* All of the above operations are
* of equal cost
*/
#include <iostream>
#include <string>
#include <vector>
using namespace std;
int min(int x, int y, int z) { return min(min(x, y), z); }
/* A Naive recursive C++ program to find
* minimum number of operations to convert
* str1 to str2.
* O(3^m)
*/
int editDist(string str1, string str2, int m, int n) {
if (m == 0)
return n;
if (n == 0)
return m;
// If last characters are same then continue
// for the rest of them.
if (str1[m - 1] == str2[n - 1])
return editDist(str1, str2, m - 1, n - 1);
// If last not same, then 3 possibilities
// a.Insert b.Remove c. Replace
// Get min of three and continue for rest.
return 1 + min(editDist(str1, str2, m, n - 1),
editDist(str1, str2, m - 1, n),
editDist(str1, str2, m - 1, n - 1));
}
/* A DP based program
* O(m x n)
*/
int editDistDP(string str1, string str2, int m, int n) {
// Create Table for SubProblems
std::vector<std::vector<int> > dp(m + 1, std::vector<int>(n + 1));
// Fill d[][] in bottom up manner
for (int i = 0; i <= m; i++) {
for (int j = 0; j <= n; j++) {
// If str1 empty. Then add all of str2
if (i == 0)
dp[i][j] = j;
// If str2 empty. Then add all of str1
else if (j == 0)
dp[i][j] = i;
// If character same. Recur for remaining
else if (str1[i - 1] == str2[j - 1])
dp[i][j] = dp[i - 1][j - 1];
else
dp[i][j] = 1 + min(dp[i][j - 1], // Insert
dp[i - 1][j], // Remove
dp[i - 1][j - 1] // Replace
);
}
}
return dp[m][n];
}
int main() {
string str1 = "sunday";
string str2 = "saturday";
cout << editDist(str1, str2, str1.length(), str2.length()) << endl;
cout << editDistDP(str1, str2, str1.length(), str2.length()) << endl;
return 0;
}