Solution method and code implementation of editing distance

Source: Internet
Author: User
Tags first string min

For the editing distance, refer to the following URL:

The editing distance is a string at least how many steps can be changed to another string, including: Delete, add, modify. Delete and add is reflexive, i.e. edit (i-1,j) +1 or edit (i,j-1) +1. The following add 1 is the cost of modifying and adding the operation, the modification is edit (i-1,j-1) + (0|1). The next add 0 or add 1 is to see the first string of the I-character and the second string of the J-character is equal, equality is no need to modify, so add 0, not equal to the need for one-step modification, need to add 1.

The specific code is

public class Bijijuli {public

	static void Main (string[] args) {
		System.out.println (editinstance ("Ergabd", "ABC "));
	private static int min (int a,int b) {
		return a < b a:b;
	private static int Editinstance (string str1, String str2) {
		int max1 = Str1.length ();
		int max2 = Str2.length ();
		int[][] Matrix = new Int[max1+1][max2+1];
		for (int i=0;i<max1+1;i++) {
			matrix[i][0] = i;
		for (int i = 0;i<max2+1;i++) {
			matrix[0][i] = i;
		for (int i=1;i<max1+1;i++) {for
			(int j=1;j<max2+1;j++) {
				int d = 1; 
				int temp = min (matrix[i-1][j]+1,matrix[i][j-1]+1);
				if (str1.substring (i-1, i). Equals (Str2.substring (j-1,j))) {
					d = 0;
				Matrix[i][j] = min (temp,matrix[i-1][j-1]+d);
		return MATRIX[MAX1][MAX2];

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