题目:
给你一份航线列表
tickets
,其中tickets[i] = [fromi, toi]
表示飞机出发和降落的机场地点。请你对该行程进行重新规划排序。所有这些机票都属于一个从
JFK
(肯尼迪国际机场)出发的先生,所以该行程必须从JFK
开始。如果存在多种有效的行程,请你按字典排序返回最小的行程组合。
- 例如,行程
["JFK", "LGA"]
与["JFK", "LGB"]
相比就更小,排序更靠前。假定所有机票至少存在一种合理的行程。且所有的机票 必须都用一次 且 只能用一次。
示例 1:
输入:tickets = [["MUC","LHR"],["JFK","MUC"],["SFO","SJC"],["LHR","SFO"]] 输出:["JFK","MUC","LHR","SFO","SJC"]示例 2:
输入:tickets = [["JFK","SFO"],["JFK","ATL"],["SFO","ATL"],["ATL","JFK"],["ATL","SFO"]] 输出:["JFK","ATL","JFK","SFO","ATL","SFO"] 解释:另一种有效的行程是 ["JFK","SFO","ATL","JFK","ATL","SFO"] ,但是它字典排序更大更靠后。提示:
1 <= tickets.length <= 300
tickets[i].length == 2
fromi.length == 3
toi.length == 3
fromi
和toi
由大写英文字母组成
fromi != toi
[LeetCode] 332. 重新安排行程
自己看到题目的第一想法
穷举所有的组合, 当出现新的组合时, 和上一个组合对比一下, 如果发现是更小值的路径, 则更新对应的数据.
test case ok, 提交超时~
看完代码随想录之后的想法
用 Map 来优化确实优雅了很多, 不需要穷举了.
// test case 可以过, 但是超时了...
class Solution {
private LinkedList<String> path = new LinkedList<>();
public List<String> findItinerary(List<List<String>> tickets) {
// 升序排列
Collections.sort(tickets, new Comparator<List<String>>() {
@Override
public int compare(List<String> t0, List<String> t1) {
return t0.get(1).compareTo(t1.get(1));
}
});
path.add("JFK");
backTracking(tickets, new boolean[tickets.size()]);
return path;
}
private boolean backTracking(List<List<String>> tickets, boolean[] used) {
if (path.size() == tickets.size() + 1) {
return true;
}
for (int i = 0; i < tickets.size(); i++) {
if (used[i] || !tickets.get(i).get(0).equals(path.getLast())) {
continue;
}
path.add(tickets.get(i).get(1));
used[i] = true;
if (backTracking(tickets, used)) {
return true;
}
path.removeLast();
used[i] = false;
}
return false;
}
}
// 效率不高, 但是 AC 了... 不深究
class Solution {
private LinkedList<String> path = new LinkedList<>();
private Map<String, TreeMap<String, Integer>> tickets = new HashMap<>();
public List<String> findItinerary(List<List<String>> tickets) {
for (int i = 0; i < tickets.size(); i++) {
String fromAirPort = tickets.get(i).get(0);
TreeMap<String, Integer> destinations = this.tickets.get(fromAirPort);
if (destinations == null) {
destinations = new TreeMap<>();
this.tickets.put(fromAirPort, destinations);
}
String toAirPort = tickets.get(i).get(1);
destinations.put(toAirPort, destinations.getOrDefault(toAirPort, 0) + 1);
}
path.add("JFK");
backTracking(tickets.size() + 1);
return path;
}
private boolean backTracking(int pathNumber) {
if (path.size() == pathNumber) {
return true;
}
Map<String, Integer> destinations = tickets.get(path.getLast());
if (destinations == null) {
return false;
}
for (Map.Entry<String, Integer> entry : destinations.entrySet()) {
if (entry.getValue() == 0) {
continue;
}
path.add(entry.getKey());
entry.setValue(entry.getValue() - 1);
if (backTracking(pathNumber)) {
return true;
}
path.removeLast();
entry.setValue(entry.getValue() + 1);
}
return false;
}
}
自己实现过程中遇到哪些困难
审题的时候没有注意到会出现多个 A-》B 这样的组合, 也没注意到所有的输入数据中, 每一条数据都一定存在一条能把所有机票用完的路径... 导致自己想的时候很懵. 感觉 LeetCode 对于题目的描述还是稍微粗糙了一些, 对比起来官方题解就严谨很多.
自己实现的时候没有想到排序这个机制的做法, 感觉真的是有点弱, 这么本能的想法怎么会完全没有想到呢, 只想到暴力求解了.
[LeetCode] 51. N 皇后
自己看到题目的第一想法
对于每一层, 遍历所有的位置, 放入皇后. 每放入一个皇后时, 就再往下一层递归. 直到所有放入的皇后, 检查合法性都通过, 则完成任务.
看完代码随想录之后的想法
基本差不多, 这一题是比较简单的. (怎么判断难易度: 看视频的长度就可以大概猜到~)
// 效率极低...
class Solution {
private List<List<String>> result = new ArrayList<>();
private List<StringBuilder> chessBoard = new ArrayList<>();
public List<List<String>> solveNQueens(int n) {
for (int i = 0; i < n; i++) {
StringBuilder strBuilder = new StringBuilder();
for (int j = 0; j < n; j++) {
strBuilder.append('.');
}
chessBoard.add(strBuilder);
}
backTracking(0);
return result;
}
private void backTracking(int row) {
if (row == chessBoard.size()) {
List<String> path = new ArrayList<>();
for (int i = 0; i < chessBoard.size(); i++) {
path.add(chessBoard.get(i).toString());
}
result.add(path);
return;
}
for (int i = 0; i < chessBoard.size(); i++) {
if (!isValid(row, i)) {
continue;
}
chessBoard.get(row).setCharAt(i, 'Q');
backTracking(row + 1);
chessBoard.get(row).setCharAt(i, '.');
}
}
private boolean isValid(int row, int column) {
for (int i = row; i >= 0; i--) {
if (chessBoard.get(i).charAt(column) == 'Q') {
return false;
}
}
for (int i = row, j = column; i >= 0 && j >= 0; i--, j--) {
if (chessBoard.get(i).charAt(j) == 'Q') {
return false;
}
}
for (int i = row, j = column; i >= 0 && j < chessBoard.size(); i--, j++) {
if (chessBoard.get(i).charAt(j) == 'Q') {
return false;
}
}
return true;
}
}
自己实现过程中遇到哪些困难
无
题目:
写一个程序,通过填充空格来解决数独问题。
数独的解法需 遵循如下规则:
- 数字
1-9
在每一行只能出现一次。- 数字
1-9
在每一列只能出现一次。- 数字
1-9
在每一个以粗实线分隔的3x3
宫内只能出现一次。(请参考示例图)数独部分空格内已填入了数字,空白格用
'.'
表示。示例 1:
输入:board = [["5","3",".",".","7",".",".",".","."],["6",".",".","1","9","5",".",".","."],[".","9","8",".",".",".",".","6","."],["8",".",".",".","6",".",".",".","3"],["4",".",".","8",".","3",".",".","1"],["7",".",".",".","2",".",".",".","6"],[".","6",".",".",".",".","2","8","."],[".",".",".","4","1","9",".",".","5"],[".",".",".",".","8",".",".","7","9"]] 输出:[["5","3","4","6","7","8","9","1","2"],["6","7","2","1","9","5","3","4","8"],["1","9","8","3","4","2","5","6","7"],["8","5","9","7","6","1","4","2","3"],["4","2","6","8","5","3","7","9","1"],["7","1","3","9","2","4","8","5","6"],["9","6","1","5","3","7","2","8","4"],["2","8","7","4","1","9","6","3","5"],["3","4","5","2","8","6","1","7","9"]]提示:
board.length == 9
board[i].length == 9
board[i][j]
是一位数字或者'.'
- 题目数据 保证 输入数独仅有一个解
[LeetCode] 37. 解数独
自己看到题目的第一想法
继续暴力破解吧.
为啥写不出来捏...
看完代码随想录之后的想法
哦哈... 那么简单! 我会!!!
怎么又写不出来了....
// 效率一般
class Solution {
public void solveSudoku(char[][] board) {
backTracking(board, 0, 0);
}
private boolean backTracking(char[][] board, int row, int column) {
// 从左往右从上往下, 挑选出第一个没有填上数字的位置
for (; row < board.length; row++) {
int j = 0;
for (j = column; j < board[row].length; j++) {
if (board[row][j] == '.') {
column = j;
break;
}
}
if (j == board[row].length) {
column = 0;
} else {
break;
}
}
// 所有元素都放入了合理的数字, 递归成功
if (row == board.length) {
return true;
}
// 将 1 ~ 9 中的数字, 放入当前位置, 并递归下一个数字
for (char i = '1'; i <= '9'; i++) {
// 检查一下当前位置是否能放入当前的数字
if (!isValid(board, row, column, i)) {
continue;
}
board[row][column] = i;// 放入当前的数字
if (backTracking(board, row, column)) {
return true;
}
board[row][column] = '.';// 删除当前的数字, 进行下一次递归
}
return false;
}
private boolean isValid(char[][] board, int row, int column, int number) {
for (int i = 0; i < board.length; i++) {
if (board[row][i] == number || board[i][column] == number) {
return false;
}
}
int rowStart = (row/3)*3;
int columnStart = (column/3)*3;
for (int i = rowStart; i < rowStart + 3; i++) {
for (int j = columnStart; j < columnStart + 3; j++) {
if (board[i][j] == number) {
return false;
}
}
}
return true;
}
}
自己实现过程中遇到哪些困难
递归的结束条件写的不好.