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CyC2018
2021-03-23 02:48:19 +08:00
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# 12. 矩阵中的路径
[NowCoder](https://www.nowcoder.com/practice/c61c6999eecb4b8f88a98f66b273a3cc?tpId=13&tqId=11218&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking&from=cyc_github)
[牛客网](https://www.nowcoder.com/practice/69fe7a584f0a445da1b6652978de5c38?tpId=13&tqId=11218&tab=answerKey&from=cyc_github)
## 题目描述
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本题的输入是数组而不是矩阵二维数组因此需要先将数组转换成矩阵
```java
private final static int[][] next = {{0, -1}, {0, 1}, {-1, 0}, {1, 0}};
private int rows;
private int cols;
public class Solution {
private final static int[][] next = {{0, -1}, {0, 1}, {-1, 0}, {1, 0}};
private int rows;
private int cols;
public boolean hasPath(char[] array, int rows, int cols, char[] str) {
if (rows == 0 || cols == 0) return false;
this.rows = rows;
this.cols = cols;
boolean[][] marked = new boolean[rows][cols];
char[][] matrix = buildMatrix(array);
for (int i = 0; i < rows; i++)
for (int j = 0; j < cols; j++)
if (backtracking(matrix, str, marked, 0, i, j))
return true;
return false;
}
private boolean backtracking(char[][] matrix, char[] str,
boolean[][] marked, int pathLen, int r, int c) {
if (pathLen == str.length) return true;
if (r < 0 || r >= rows || c < 0 || c >= cols
|| matrix[r][c] != str[pathLen] || marked[r][c]) {
public boolean hasPath (String val, int rows, int cols, String path) {
if (rows == 0 || cols == 0) return false;
this.rows = rows;
this.cols = cols;
char[] array = val.toCharArray();
char[][] matrix = buildMatrix(array);
char[] pathList = path.toCharArray();
boolean[][] marked = new boolean[rows][cols];
for (int i = 0; i < rows; i++)
for (int j = 0; j < cols; j++)
if (backtracking(matrix, pathList, marked, 0, i, j))
return true;
return false;
}
marked[r][c] = true;
for (int[] n : next)
if (backtracking(matrix, str, marked, pathLen + 1, r + n[0], c + n[1]))
return true;
marked[r][c] = false;
return false;
}
private char[][] buildMatrix(char[] array) {
char[][] matrix = new char[rows][cols];
for (int r = 0, idx = 0; r < rows; r++)
for (int c = 0; c < cols; c++)
matrix[r][c] = array[idx++];
return matrix;
private boolean backtracking(char[][] matrix, char[] pathList,
boolean[][] marked, int pathLen, int r, int c) {
if (pathLen == pathList.length) return true;
if (r < 0 || r >= rows || c < 0 || c >= cols
|| matrix[r][c] != pathList[pathLen] || marked[r][c]) {
return false;
}
marked[r][c] = true;
for (int[] n : next)
if (backtracking(matrix, pathList, marked, pathLen + 1, r + n[0], c + n[1]))
return true;
marked[r][c] = false;
return false;
}
private char[][] buildMatrix(char[] array) {
char[][] matrix = new char[rows][cols];
for (int r = 0, idx = 0; r < rows; r++)
for (int c = 0; c < cols; c++)
matrix[r][c] = array[idx++];
return matrix;
}
public static void main(String[] args) {
Solution solution = new Solution();
String val = "ABCESFCSADEE";
int rows = 3;
int cols = 4;
String path = "ABCCED";
boolean res = solution.hasPath(val, rows, cols, path);
System.out.println(res);
}
}
```