Word Ladder II

Total Accepted: 11755 Total
Submissions: 102776My Submissions

Given two words (start and end), and a dictionary, find all shortest transformation sequence(s) from start to end, such that:

  1. Only one letter can be changed at a time
  2. Each intermediate word must exist in the dictionary

For example,

Given:

start = "hit"

end = "cog"

dict = ["hot","dot","dog","lot","log"]

Return

  [
["hit","hot","dot","dog","cog"],
["hit","hot","lot","log","cog"]
]

Note:

  • All words have the same length.
  • All words contain only lowercase alphabetic characters.

这个题目着有用了不少时间,中间做了两个取巧的处理:

1.把end放到dict里面这种优点就是在BFS建立图的时候 能够直接获取end的前继,全部.这样能够降低最后处理的麻烦

2.把dfs中处理进行优化,能够直接处理到当前继没有的时候,这个时候最后一个节点一定是start

3.中间建立一个MAP map中保存不同的str相应的前继

4.假设一个串被发现了,那么要看一下是不是distance和之前的str差一个,这个是为了保证不出现绕环

5.对str的每一位做变换,使时间复杂度下来.而刚開始的时候是比較有一个位不同样,可是对海量的处理的时候反而会减少速度.

6.对最后结果要把新的放在0位,oneAnswer.add(0,end).由于是从后往前扫

public class Solution {
public ArrayList<ArrayList<String>> findLadders(String start,
String end, HashSet<String> dict) {
dict.add(end);
ArrayList<ArrayList<String>> result = new ArrayList<ArrayList<String>>(); if (start == null || end == null || start.length() != end.length()) {
return result;
}
Map<String, MyNode> map = new HashMap<String, MyNode>();
Queue<String> queue = new LinkedList<String>();
queue.offer(start);
map.put(start, new MyNode(start, 1));
while (!queue.isEmpty()) {
String cur = queue.poll(); if (reachEnd(cur, end)) {
outputResult(end, new ArrayList<String>(), map, result);
return result;
} for (int i = 0; i < cur.length(); i++) {
for (char c = 'a'; c <= 'z'; c++) {
String changeStr = getOneDiff(cur, i, c); if (dict.contains(changeStr)) {
MyNode curNode = map.get(cur);
int curDist = curNode.distance;
int newDist = curDist + 1; if (!map.containsKey(changeStr)) {
MyNode newNode = new MyNode(changeStr, newDist);
newNode.pre.add(curNode);
queue.offer(changeStr); map.put(changeStr, newNode); } else {
MyNode preNode = map.get(changeStr);
int preDist = preNode.distance;
if (newDist == preDist) {
preNode.pre.add(curNode);
}
}
}
}
}
}
return result; } private void outputResult(String end, ArrayList<String> oneAnswer,
Map<String, MyNode> map, ArrayList<ArrayList<String>> result) { MyNode curNode = map.get(end);
oneAnswer.add(0, end);
if (curNode.pre.isEmpty()) {
result.add(new ArrayList<String>(oneAnswer));
return;
}
for (MyNode eachNode : curNode.pre) {
outputResult(eachNode.val, oneAnswer, map, result);
oneAnswer.remove(0);
}
} private void getPaths(MyNode myNode, Map<String, MyNode> map,
ArrayList<String> curPath, ArrayList<ArrayList<String>> paths) {
if (myNode == null) {
paths.add(curPath);
return;
} curPath.add(0, myNode.val);
if (!myNode.pre.isEmpty()) {
for (MyNode prevNode : myNode.pre) {
getPaths(prevNode, map, new ArrayList<String>(curPath), paths);
}
} else {
getPaths(null, map, curPath, paths);
}
} boolean reachEnd(String left, String right) {
if (left.equals(right)) {
return true;
}
return false;
} String getOneDiff(String str, int pos, char c) {
StringBuffer sb = new StringBuffer(str);
sb.setCharAt(pos, c);
return sb.toString();
} } class MyNode {
String val;
int distance;
LinkedList<MyNode> pre; MyNode(String v, int distance) {
this.val = v;
this.distance = distance;
pre = new LinkedList<MyNode>(); } void addPre(MyNode p) {
pre.add(p);
}
}

不得不说,这个题做的确实痛苦,可是做AC了之后感觉非常爽!

也不知道各位大神有什么更好的办法,反正我做的时候确实感觉到非常挑战,但非常有意思.

过瘾!

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