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// 72. Edit Distance
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define MIN(a, b, c) \
((a) < (b) ? ((a) < (c) ? (a) : (c)) : ((b) < (c) ? (b) : (c)))
/*
* given two strings 'word1' and 'word2', return minimum number of operations
* required to convert 'word1' to 'word2'. the following operations are
* permitted: insert character, delete character, replace character
*/
int minDistance(char *word1, char *word2) {
int len1 = strlen(word1), len2 = strlen(word2);
if (len1 == 0)
return len2;
if (len2 == 0)
return len1;
int **table = (int **)malloc(len1 * sizeof(int *));
for (int i = 0; i < len1; i++)
table[i] = (int *)malloc(len2 * sizeof(int));
if (word1[0] == word2[0])
table[0][0] = 0;
else
table[0][0] = 1;
for (int i = 1; i < len2; i++) {
if (word1[0] == word2[i])
table[0][i] = i;
else
table[0][i] = table[0][i - 1] + 1;
}
for (int i = 1; i < len1; i++) {
if (word2[0] == word1[i])
table[i][0] = i;
else
table[i][0] = table[i - 1][0] + 1;
}
for (int i = 1; i < len1; i++)
for (int j = 1; j < len2; j++) {
if (word1[i] == word2[i])
table[i][j] = table[i - 1][j - 1];
else
table[i][j] =
MIN(table[i - 1][j], table[i][j - 1], table[i - 1][j - 1]);
}
int ans = table[len1 - 1][len2 - 1];
for (int i = 0; i < len1; i++)
free(table[i]);
free(table);
return ans;
}
int main() {
char w11[] = "horse", w21[] = "ros";
char w12[] = "intention", w22[] = "execution";
printf("%d\n", minDistance(w11, w21)); // expect: 3
printf("%d\n", minDistance(w12, w22)); // expect: 5
}
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