编辑距离

public class EditDistance {

	private static int Minimum(int a, int b, int c) {
		int mi;

		mi = a;
		if (b < mi) {
			mi = b;
		}
		if (c < mi) {
			mi = c;
		}
		return mi;
	}

	public static int getEditDistance(String s, String t) {
		int d[][]; // matrix
		int n; // length of s
		int m; // length of t
		int i; // iterates through s
		int j; // iterates through t
		char s_i; // ith character of s
		char t_j; // jth character of t
		int cost; // cost

		// Step 1

		n = s.length();
		m = t.length();
		if (n == 0) {
			return m;
		}
		if (m == 0) {
			return n;
		}
		d = new int[n + 1][m + 1];

		// Step 2

		for (i = 0; i <= n; i++) {
			d[i][0] = i;
		}

		for (j = 0; j <= m; j++) {
			d[0][j] = j;
		}
		
		// Step 3

		for (i = 1; i <= n; i++) {
			s_i = s.charAt(i - 1);
			// Step 4
			for (j = 1; j <= m; j++) {
				t_j = t.charAt(j - 1);
				// Step 5
				if (s_i == t_j) {
					cost = 0;
				} else {
					cost = 1;
				}
				// Step 6
				d[i][j] = Minimum(d[i - 1][j] + 1, d[i][j - 1] + 1,
						d[i - 1][j - 1] + cost);
			}
		}
		//显示矩阵数据
//		for (int[] u : d) {
//			for (int v : u) {
//				System.out.print(v+" ");
//			}
//			System.out.println();
//		}
		// Step 7
		return d[n][m];

	}
	public static void main(String[] args) {
		
		System.out.println(getEditDistance("中华人民共和国", "中华民国"));
		
	}
}