auto commit

This commit is contained in:
CyC2018 2018-05-03 14:08:16 +08:00
parent ba0bfeb366
commit 4c731d47bb
2 changed files with 162 additions and 152 deletions

View File

@ -1237,9 +1237,9 @@ private int getShortestPath(List<Integer>[] graphic, int start, int end) {
<div align="center"> <img src="../pics//f7f7e3e5-7dd4-4173-9999-576b9e2ac0a2.png"/> </div><br>
广度优先搜索一层一层遍历,每一层得到的所有新节点,要用队列存储起来以备下一层遍历的时候再遍历。
广度优先搜索一层一层遍历,每一层得到的所有新节点,要用队列存储起来以备下一层遍历的时候再遍历。
而深度优先搜索在得到一个新节点时立马对新节点进行遍历:从节点 0 出发开始遍历,得到到新节点 6 时,立马对新节点 6 进行遍历,得到新节点 4如此反复以这种方式遍历新节点直到没有新节点了此时返回。返回到根节点 0 的情况是,继续对根节点 0 进行遍历,得到新节点 2然后继续以上步骤。
而深度优先搜索在得到一个新节点时立马对新节点进行遍历:从节点 0 出发开始遍历,得到到新节点 6 时,立马对新节点 6 进行遍历,得到新节点 4如此反复以这种方式遍历新节点直到没有新节点了此时返回。返回到根节点 0 的情况是,继续对根节点 0 进行遍历,得到新节点 2然后继续以上步骤。
从一个节点出发,使用 DFS 对一个图进行遍历时能够遍历到的节点都是从初始节点可达的DFS 常用来求解这种 **可达性** 问题。
@ -1268,29 +1268,29 @@ private int m, n;
private int[][] direction = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}};
public int maxAreaOfIsland(int[][] grid) {
if (grid == null || grid.length == 0) {
if (grid == null || grid.length == 0)
return 0;
}
m = grid.length;
n = grid[0].length;
int maxArea = 0;
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++) {
for (int i = 0; i < m; i++)
for (int j = 0; j < n; j++)
maxArea = Math.max(maxArea, dfs(grid, i, j));
}
}
return maxArea;
}
private int dfs(int[][] grid, int r, int c) {
if (r < 0 || r >= m || c < 0 || c >= n || grid[r][c] == 0) {
if (r < 0 || r >= m || c < 0 || c >= n || grid[r][c] == 0)
return 0;
}
grid[r][c] = 0;
int area = 1;
for (int[] d : direction) {
for (int[] d : direction)
area += dfs(grid, r + d[0], c + d[1]);
}
return area;
}
```
@ -1300,11 +1300,13 @@ private int dfs(int[][] grid, int r, int c) {
[200. Number of Islands (Medium)](https://leetcode.com/problems/number-of-islands/description/)
```html
11110
11010
Input:
11000
00000
Answer: 1
11000
00100
00011
Output: 3
```
可以将矩阵表示看成一张有向图。
@ -1314,31 +1316,29 @@ private int m, n;
private int[][] direction = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}};
public int numIslands(char[][] grid) {
if (grid == null || grid.length == 0) {
if (grid == null || grid.length == 0)
return 0;
}
m = grid.length;
n = grid[0].length;
int islandsNum = 0;
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++) {
for (int i = 0; i < m; i++)
for (int j = 0; j < n; j++)
if (grid[i][j] != '0') {
dfs(grid, i, j);
islandsNum++;
}
}
}
return islandsNum;
}
private void dfs(char[][] grid, int i, int j) {
if (i < 0 || i >= m || j < 0 || j >= n || grid[i][j] == '0') {
if (i < 0 || i >= m || j < 0 || j >= n || grid[i][j] == '0')
return;
}
grid[i][j] = '0';
for (int[] d : direction) {
for (int[] d : direction)
dfs(grid, i + d[0], j + d[1]);
}
}
```
@ -1365,23 +1365,20 @@ public int findCircleNum(int[][] M) {
n = M.length;
int circleNum = 0;
boolean[] hasVisited = new boolean[n];
for (int i = 0; i < n; i++) {
for (int i = 0; i < n; i++)
if (!hasVisited[i]) {
dfs(M, i, hasVisited);
circleNum++;
}
}
return circleNum;
}
private void dfs(int[][] M, int i, boolean[] hasVisited) {
hasVisited[i] = true;
for (int k = 0; k < n; k++) {
if (M[i][k] == 1 && !hasVisited[k]) {
for (int k = 0; k < n; k++)
if (M[i][k] == 1 && !hasVisited[k])
dfs(M, k, hasVisited);
}
}
}
```
@ -1403,7 +1400,7 @@ X X X X
X O X X
```
题目描述:使得被 'X' 的 'O' 转换为 'X'。
题目描述:使得被 'X' 包围的 'O' 转换为 'X'。
先填充最外侧,剩下的就是里侧了。
@ -1412,9 +1409,12 @@ private int[][] direction = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}};
private int m, n;
public void solve(char[][] board) {
if (board == null || board.length == 0) return;
if (board == null || board.length == 0)
return;
m = board.length;
n = board[0].length;
for (int i = 0; i < m; i++) {
dfs(board, i, 0);
dfs(board, i, n - 1);
@ -1423,24 +1423,27 @@ public void solve(char[][] board) {
dfs(board, 0, i);
dfs(board, m - 1, i);
}
for (int i = 0; i < m; i++) {
for (int i = 0; i < m; i++)
for (int j = 0; j < n; j++) {
if (board[i][j] == 'T') board[i][j] = 'O';
else if (board[i][j] == 'O') board[i][j] = 'X';
}
if (board[i][j] == 'T')
board[i][j] = 'O';
else if (board[i][j] == 'O')
board[i][j] = 'X';
}
}
private void dfs(char[][] board, int r, int c) {
if (r < 0 || r >= m || c < 0 || c >= n || board[r][c] != 'O') return;
if (r < 0 || r >= m || c < 0 || c >= n || board[r][c] != 'O')
return;
board[r][c] = 'T';
for (int[] d : direction) {
for (int[] d : direction)
dfs(board, r + d[0], c + d[1]);
}
}
```
**从两个方向都能到达的区域**
**能到达的太平洋和大西洋的区域**
[417. Pacific Atlantic Water Flow (Medium)](https://leetcode.com/problems/pacific-atlantic-water-flow/description/)
@ -1468,12 +1471,15 @@ private int[][] direction = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}};
public List<int[]> pacificAtlantic(int[][] matrix) {
List<int[]> ret = new ArrayList<>();
if (matrix == null || matrix.length == 0) return ret;
if (matrix == null || matrix.length == 0)
return ret;
m = matrix.length;
n = matrix[0].length;
this.matrix = matrix;
boolean[][] canReachP = new boolean[m][n];
boolean[][] canReachA = new boolean[m][n];
for (int i = 0; i < m; i++) {
dfs(i, 0, canReachP);
dfs(i, n - 1, canReachA);
@ -1482,24 +1488,25 @@ public List<int[]> pacificAtlantic(int[][] matrix) {
dfs(0, i, canReachP);
dfs(m - 1, i, canReachA);
}
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++) {
if (canReachP[i][j] && canReachA[i][j]) {
for (int i = 0; i < m; i++)
for (int j = 0; j < n; j++)
if (canReachP[i][j] && canReachA[i][j])
ret.add(new int[]{i, j});
}
}
}
return ret;
}
private void dfs(int r, int c, boolean[][] canReach) {
if (canReach[r][c]) return;
if (canReach[r][c])
return;
canReach[r][c] = true;
for (int[] d : direction) {
int nextR = d[0] + r;
int nextC = d[1] + c;
if (nextR < 0 || nextR >= m || nextC < 0 || nextC >= n
|| matrix[r][c] > matrix[nextR][nextC]) continue;
if (nextR < 0 || nextR >= m || nextC < 0 || nextC >= n || matrix[r][c] > matrix[nextR][nextC])
continue;
dfs(nextR, nextC, canReach);
}
}
@ -1533,7 +1540,8 @@ private static final String[] KEYS = {"", "", "abc", "def", "ghi", "jkl", "mno",
public List<String> letterCombinations(String digits) {
List<String> ret = new ArrayList<>();
if (digits == null || digits.length() == 0) return ret;
if (digits == null || digits.length() == 0)
return ret;
combination(new StringBuilder(), digits, ret);
return ret;
}
@ -1571,16 +1579,17 @@ public List<String> restoreIpAddresses(String s) {
private void doRestore(int k, StringBuilder path, String s, List<String> addresses) {
if (k == 4 || s.length() == 0) {
if (k == 4 && s.length() == 0) {
if (k == 4 && s.length() == 0)
addresses.add(path.toString());
}
return;
}
for (int i = 0; i < s.length() && i <= 2; i++) {
if (i != 0 && s.charAt(0) == '0') break;
if (i != 0 && s.charAt(0) == '0')
break;
String part = s.substring(0, i + 1);
if (Integer.valueOf(part) <= 255) {
if (path.length() != 0) part = "." + part;
if (path.length() != 0)
part = "." + part;
path.append(part);
doRestore(k + 1, path, s.substring(i + 1), addresses);
path.delete(path.length() - part.length(), path.length());
@ -1612,33 +1621,36 @@ private int m;
private int n;
public boolean exist(char[][] board, String word) {
if (word == null || word.length() == 0) return true;
if (board == null || board.length == 0 || board[0].length == 0) return false;
if (word == null || word.length() == 0)
return true;
if (board == null || board.length == 0 || board[0].length == 0)
return false;
m = board.length;
n = board[0].length;
boolean[][] visited = new boolean[m][n];
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++) {
for (int i = 0; i < m; i++)
for (int j = 0; j < n; j++)
if (backtracking(board, visited, word, 0, i, j)) return true;
}
}
return false;
}
private boolean backtracking(char[][] board, boolean[][] visited, String word, int start, int r, int c) {
if (start == word.length()) {
if (start == word.length())
return true;
}
if (r < 0 || r >= m || c < 0 || c >= n || board[r][c] != word.charAt(start) || visited[r][c]) {
if (r < 0 || r >= m || c < 0 || c >= n || board[r][c] != word.charAt(start) || visited[r][c])
return false;
}
visited[r][c] = true;
for (int[] d : direction) {
if (backtracking(board, visited, word, start + 1, r + d[0], c + d[1])) {
for (int[] d : direction)
if (backtracking(board, visited, word, start + 1, r + d[0], c + d[1]))
return true;
}
}
visited[r][c] = false;
return false;
}
```
@ -1662,18 +1674,20 @@ private boolean backtracking(char[][] board, boolean[][] visited, String word, i
```java
public List<String> binaryTreePaths(TreeNode root) {
List<String> paths = new ArrayList();
if (root == null) return paths;
if (root == null)
return paths;
List<Integer> values = new ArrayList<>();
backtracking(root, values, paths);
return paths;
}
private void backtracking(TreeNode node, List<Integer> values, List<String> paths) {
if (node == null) return;
if (node == null)
return;
values.add(node.val);
if (isLeaf(node)) {
if (isLeaf(node))
paths.add(buildPath(values));
} else {
else {
backtracking(node.left, values, paths);
backtracking(node.right, values, paths);
}
@ -1688,10 +1702,9 @@ private String buildPath(List<Integer> values) {
StringBuilder str = new StringBuilder();
for (int i = 0; i < values.size(); i++) {
str.append(values.get(i));
if (i != values.size() - 1) {
if (i != values.size() - 1)
str.append("->");
}
}
return str.toString();
}
```
@ -1727,7 +1740,8 @@ private void backtracking(List<Integer> permuteList, boolean[] visited, int[] nu
return;
}
for (int i = 0; i < visited.length; i++) {
if (visited[i]) continue;
if (visited[i])
continue;
visited[i] = true;
permuteList.add(nums[i]);
backtracking(permuteList, visited, nums, ret);
@ -1767,8 +1781,10 @@ private void backtracking(List<Integer> permuteList, boolean[] visited, int[] nu
}
for (int i = 0; i < visited.length; i++) {
if (i != 0 && nums[i] == nums[i - 1] && !visited[i - 1]) continue; // 防止重复
if (visited[i]) continue;
if (i != 0 && nums[i] == nums[i - 1] && !visited[i - 1])
continue; // 防止重复
if (visited[i])
continue;
visited[i] = true;
permuteList.add(nums[i]);
backtracking(permuteList, visited, nums, ret);
@ -1827,15 +1843,13 @@ A solution set is:
```
```java
private List<List<Integer>> ret;
public List<List<Integer>> combinationSum(int[] candidates, int target) {
ret = new ArrayList<>();
doCombination(candidates, target, 0, new ArrayList<>());
public List<List<Integer>> combinationSum(int[] candidates, int target) {
List<List<Integer>> ret = new ArrayList<>();
doCombination(candidates, target, 0, new ArrayList<>(), ret);
return ret;
}
}
private void doCombination(int[] candidates, int target, int start, List<Integer> list) {
private void doCombination(int[] candidates, int target, int start, List<Integer> list, List<List<Integer>> ret) {
if (target == 0) {
ret.add(new ArrayList<>(list));
return;
@ -1843,11 +1857,11 @@ A solution set is:
for (int i = start; i < candidates.length; i++) {
if (candidates[i] <= target) {
list.add(candidates[i]);
doCombination(candidates, target - candidates[i], i, list);
doCombination(candidates, target - candidates[i], i, list, ret);
list.remove(list.size() - 1);
}
}
}
}
```
**含有相同元素的求组合求和**
@ -1866,26 +1880,25 @@ A solution set is:
```
```java
private List<List<Integer>> ret;
public List<List<Integer>> combinationSum2(int[] candidates, int target) {
ret = new ArrayList<>();
List<List<Integer>> ret = new ArrayList<>();
Arrays.sort(candidates);
doCombination(candidates, target, 0, new ArrayList<>(), new boolean[candidates.length]);
doCombination(candidates, target, 0, new ArrayList<>(), new boolean[candidates.length], ret);
return ret;
}
private void doCombination(int[] candidates, int target, int start, List<Integer> list, boolean[] visited) {
private void doCombination(int[] candidates, int target, int start, List<Integer> list, boolean[] visited, List<List<Integer>> ret) {
if (target == 0) {
ret.add(new ArrayList<>(list));
return;
}
for (int i = start; i < candidates.length; i++) {
if (i != 0 && candidates[i] == candidates[i - 1] && !visited[i - 1]) continue;
if (i != 0 && candidates[i] == candidates[i - 1] && !visited[i - 1])
continue;
if (candidates[i] <= target) {
list.add(candidates[i]);
visited[i] = true;
doCombination(candidates, target - candidates[i], i + 1, list, visited);
doCombination(candidates, target - candidates[i], i + 1, list, visited, ret);
visited[i] = false;
list.remove(list.size() - 1);
}
@ -1905,17 +1918,13 @@ Output:
[[1,2,6], [1,3,5], [2,3,4]]
```
题目描述:从 1-9 数字中选出 k 个数,使得它们的和为 n。
题目描述:从 1-9 数字中选出 k 个数不重复的数,使得它们的和为 n。
```java
public List<List<Integer>> combinationSum3(int k, int n) {
List<List<Integer>> ret = new ArrayList<>();
List<Integer> path = new ArrayList<>();
for (int i = 1; i <= 9; i++) {
path.add(i);
backtracking(k - 1, n - i, path, i, ret);
path.remove(0);
}
backtracking(k, n, path, 1, ret);
return ret;
}
@ -1924,10 +1933,11 @@ private void backtracking(int k, int n, List<Integer> path, int start, List<List
ret.add(new ArrayList<>(path));
return;
}
if (k == 0 || n == 0) return;
for (int i = start + 1; i <= 9; i++) { // 只能访问下一个元素,防止遍历的结果重复
if (k == 0 || n == 0)
return;
for (int i = start; i <= 9; i++) {
path.add(i);
backtracking(k - 1, n - i, path, i, ret);
backtracking(k - 1, n - i, path, i + 1, ret);
path.remove(path.size() - 1);
}
}
@ -1946,9 +1956,8 @@ private List<Integer> subsetList;
public List<List<Integer>> subsets(int[] nums) {
ret = new ArrayList<>();
subsetList = new ArrayList<>();
for (int i = 0; i <= nums.length; i++) { // 不同的子集大小
for (int i = 0; i <= nums.length; i++) // 不同的子集大小
backtracking(0, i, nums);
}
return ret;
}
@ -1957,7 +1966,6 @@ private void backtracking(int startIdx, int size, int[] nums) {
ret.add(new ArrayList(subsetList));
return;
}
for (int i = startIdx; i < nums.length; i++) {
subsetList.add(nums[i]);
backtracking(i + 1, size, nums);
@ -1994,9 +2002,10 @@ public List<List<Integer>> subsetsWithDup(int[] nums) {
subsetList = new ArrayList<>();
visited = new boolean[nums.length];
Arrays.sort(nums);
for (int i = 0; i <= nums.length; i++) {
for (int i = 0; i <= nums.length; i++)
backtracking(0, i, nums);
}
return ret;
}
@ -2005,9 +2014,9 @@ private void backtracking(int startIdx, int size, int[] nums) {
ret.add(new ArrayList(subsetList));
return;
}
for (int i = startIdx; i < nums.length; i++) {
if (i != 0 && nums[i] == nums[i - 1] && !visited[i - 1]) continue;
if (i != 0 && nums[i] == nums[i - 1] && !visited[i - 1])
continue;
subsetList.add(nums[i]);
visited[i] = true;
backtracking(i + 1, size, nums);
@ -2036,11 +2045,11 @@ private List<List<String>> ret;
public List<List<String>> partition(String s) {
ret = new ArrayList<>();
doPartion(new ArrayList<>(), s);
doPartition(new ArrayList<>(), s);
return ret;
}
private void doPartion(List<String> list, String s) {
private void doPartition(List<String> list, String s) {
if (s.length() == 0) {
ret.add(new ArrayList<>(list));
return;
@ -2048,16 +2057,16 @@ private void doPartion(List<String> list, String s) {
for (int i = 0; i < s.length(); i++) {
if (isPalindrome(s, 0, i)) {
list.add(s.substring(0, i + 1));
doPartion(list, s.substring(i + 1));
doPartition(list, s.substring(i + 1));
list.remove(list.size() - 1);
}
}
}
private boolean isPalindrome(String s, int begin, int end) {
while (begin < end) {
if (s.charAt(begin++) != s.charAt(end--)) return false;
}
while (begin < end)
if (s.charAt(begin++) != s.charAt(end--))
return false;
return true;
}
```
@ -2076,20 +2085,19 @@ private char[][] board;
public void solveSudoku(char[][] board) {
this.board = board;
for (int i = 0; i < 9; i++) {
for (int i = 0; i < 9; i++)
for (int j = 0; j < 9; j++) {
if (board[i][j] == '.') continue;
if (board[i][j] == '.')
continue;
int num = board[i][j] - '0';
rowsUsed[i][num] = true;
colsUsed[j][num] = true;
cubesUsed[cubeNum(i, j)][num] = true;
}
}
for (int i = 0; i < 9; i++) {
for (int j = 0; j < 9; j++) {
for (int i = 0; i < 9; i++)
for (int j = 0; j < 9; j++)
backtracking(i, j);
}
}
}
private boolean backtracking(int row, int col) {
@ -2097,14 +2105,17 @@ private boolean backtracking(int row, int col) {
row = col == 8 ? row + 1 : row;
col = col == 8 ? 0 : col + 1;
}
if (row == 9) {
if (row == 9)
return true;
}
for (int num = 1; num <= 9; num++) {
if (rowsUsed[row][num] || colsUsed[col][num] || cubesUsed[cubeNum(row, col)][num]) continue;
if (rowsUsed[row][num] || colsUsed[col][num] || cubesUsed[cubeNum(row, col)][num])
continue;
rowsUsed[row][num] = colsUsed[col][num] = cubesUsed[cubeNum(row, col)][num] = true;
board[row][col] = (char) (num + '0');
if (backtracking(row, col)) return true;
if (backtracking(row, col))
return true;
board[row][col] = '.';
rowsUsed[row][num] = colsUsed[col][num] = cubesUsed[cubeNum(row, col)][num] = false;
}
@ -2124,15 +2135,15 @@ private int cubeNum(int i, int j) {
<div align="center"> <img src="../pics//1f080e53-4758-406c-bb5f-dbedf89b63ce.jpg"/> </div><br>
题目描述:在 n\*n 的矩阵中摆放 n 个皇后,并且每个皇后不能在同一行,同一列,同一对角线上,所有的 n 皇后解。
题目描述:在 n\*n 的矩阵中摆放 n 个皇后,并且每个皇后不能在同一行,同一列,同一对角线上,求所有的 n 皇后解。
一行一行地摆放在确定一行中的那个皇后应该摆在哪一列时需要用三个标记数组来确定某一列是否合法这三个标记数组分别为列标记数组、45 度对角线标记数组和 135 度对角线标记数组。
45 度对角线标记数组的维度为 2\*n - 1通过下图可以明确 (r,c) 的位置所在的数组下标为 r + c。
45 度对角线标记数组的维度为 2 \* n - 1通过下图可以明确 (r, c) 的位置所在的数组下标为 r + c。
<div align="center"> <img src="../pics//85583359-1b45-45f2-9811-4f7bb9a64db7.jpg"/> </div><br>
135 度对角线标记数组的维度也是 2\*n - 1(r,c) 的位置所在的数组下标为 n - 1 - (r - c)。
135 度对角线标记数组的维度也是 2 \* n - 1(r, c) 的位置所在的数组下标为 n - 1 - (r - c)。
<div align="center"> <img src="../pics//9e80f75a-b12b-4344-80c8-1f9ccc2d5246.jpg"/> </div><br>
@ -2147,21 +2158,21 @@ private int n;
public List<List<String>> solveNQueens(int n) {
ret = new ArrayList<>();
nQueens = new char[n][n];
Arrays.fill(nQueens, '.');
for(int i = 0; i < n; i++)
Arrays.fill(nQueens[i], '.');
colUsed = new boolean[n];
diagonals45Used = new boolean[2 * n - 1];
diagonals135Used = new boolean[2 * n - 1];
this.n = n;
backstracking(0);
backtracking(0);
return ret;
}
private void backstracking(int row) {
private void backtracking(int row) {
if (row == n) {
List<String> list = new ArrayList<>();
for (char[] chars : nQueens) {
for (char[] chars : nQueens)
list.add(new String(chars));
}
ret.add(list);
return;
}
@ -2169,12 +2180,11 @@ private void backstracking(int row) {
for (int col = 0; col < n; col++) {
int diagonals45Idx = row + col;
int diagonals135Idx = n - 1 - (row - col);
if (colUsed[col] || diagonals45Used[diagonals45Idx] || diagonals135Used[diagonals135Idx]) {
if (colUsed[col] || diagonals45Used[diagonals45Idx] || diagonals135Used[diagonals135Idx])
continue;
}
nQueens[row][col] = 'Q';
colUsed[col] = diagonals45Used[diagonals45Idx] = diagonals135Used[diagonals135Idx] = true;
backstracking(row + 1);
backtracking(row + 1);
colUsed[col] = diagonals45Used[diagonals45Idx] = diagonals135Used[diagonals135Idx] = false;
nQueens[row][col] = '.';
}

View File

@ -233,7 +233,7 @@ public class Client {
```java
public abstract class Factory {
abstract public Product factoryMethod();
public void doSomethind() {
public void doSomething() {
Product product = factoryMethod();
// do something with the product
}