任务是在由任意两个唯一重复字符组成的给定字符串中找到最长的子字符串
例如,在输入字符串"aabadefghaabbagad"中,最长的字符串是"aabbaa"
我想出了以下解决方案,但想看看是否有更有效的方法来做同样的事情
import java.util.*;
public class SubString {
public static void main(String[] args) {
//String inStr="defghgadaaaaabaababbbbbbd";
String inStr="aabadefghaabbaagad";
//String inStr="aaaaaaaaaaaaaaaaaaaa";
System.out.println("Input string is "+inStr);
StringBuilder sb = new StringBuilder(inStr.length());
String subStr="";
String interStr="";
String maxStr="";
int start=0,length=0, maxStart=0, maxlength=0, temp=0;
while(start+2<inStr.length())
{ int i=0;
temp=start;
char x = inStr.charAt(start);
char y = inStr.charAt(start+1);
sb.append(x);
sb.append(y);
while( (x==y) && (start+2<inStr.length()) )
{ start++;
y = inStr.charAt(start+1);
sb.append(y);
}
subStr=inStr.substring(start+2);
while(i<subStr.length())
{ if(subStr.charAt(i)==x || subStr.charAt(i)==y )
{ sb.append(subStr.charAt(i));
i++;
}
else
break;
}
interStr= sb.toString();
System.out.println("Intermediate string "+ interStr);
length=interStr.length();
if(maxlength<length)
{ maxlength=length;
length=0;
maxStr = new String(interStr);
maxStart=temp;
}
start++;
sb.setLength(0);
}
System.out.println("");
System.out.println("Longest string is "+maxStr.length()+" chars long "+maxStr);
}
}
这里有一个提示,可能会引导您使用线性时间算法(我认为这是家庭作业,所以我不会给出整个解决方案):当您发现一个既不等于x
也不等于y
的字符时,不必一直返回到start + 1
并重新启动搜索。让我们取字符串aabaaddaa
。在您看到aabaa
并且下一个字符是d
时,在索引1或2处重新启动搜索是没有意义的,因为在这些情况下,在再次点击d
之前,您只会得到abaa
或baa
。事实上,您可以将start
直接移动到索引3(最后一组a
s的第一个索引),并且由于您已经知道a
s到d
有一个连续的序列,因此可以将i
移动到索引5并继续。
编辑:下面的伪代码。
// Find the first letter that is not equal to the first one,
// or return the entire string if it consists of one type of characters
int start = 0;
int i = 1;
while (i < str.length() && str[i] == str[start])
i++;
if (i == str.length())
return str;
// The main algorithm
char[2] chars = {str[start], str[i]};
int lastGroupStart = 0;
while (i < str.length()) {
if (str[i] == chars[0] || str[i] == chars[1]) {
if (str[i] != str[i - 1])
lastGroupStart = i;
}
else {
//TODO: str.substring(start, i) is a locally maximal string;
// compare it to the longest one so far
start = lastGroupStart;
lastGroupStart = i;
chars[0] = str[start];
chars[1] = str[lastGroupStart];
}
i++;
}
//TODO: After the loop, str.substring(start, str.length())
// is also a potential solution.
同样的问题,我写了这个代码
public int getLargest(char [] s){
if(s.length<1) return s.length;
char c1 = s[0],c2=' ';
int start = 1,l=1, max=1;
int i = 1;
while(s[start]==c1){
l++;
start++;
if(start==s.length) return start;
}
c2 = s[start];
l++;
for(i = l; i<s.length;i++){
if(s[i]==c1 || s[i]==c2){
if(s[i]!=s[i-1])
start = i;
l++;
}
else {
l = i-start+1;
c1 = s[start];
c2 = s[i];
start = i;
}
max = Math.max(l, max);
}
return max;
}
所以我认为这是通过两个步骤来解决的
- 扫描整个字符串以查找相同字母的连续流
- 循环提取的片段并压缩它们,直到得到一个间隙
通过这种方式,您还可以修改逻辑以扫描任何长度的最长子字符串,而不仅仅是2。
class Program
{
static void Main(string[] args)
{
//.
string input = "aabbccdddxxxxxxxxxxxxxxxxx";
int max_chars = 2;
//.
int flip = 0;
var scanned = new List<string>();
while (flip > -1)
{
scanned.Add(Scan(input, flip, ref flip));
}
string found = string.Empty;
for(int i=0;i<scanned.Count;i++)
{
var s = Condense(scanned, i, max_chars);
if (s.Length > found.Length)
{
found = s;
}
}
System.Console.WriteLine("Found:" + found);
System.Console.ReadLine();
}
/// <summary>
///
/// </summary>
/// <param name="s"></param>
/// <param name="start"></param>
/// <returns></returns>
private static string Scan(string s, int start, ref int flip)
{
StringBuilder sb = new StringBuilder();
flip = -1;
sb.Append(s[start]);
for (int i = start+1; i < s.Length; i++)
{
if (s[i] == s[i - 1]) { sb.Append(s[i]); continue; } else { flip=i; break;}
}
return sb.ToString();
}
/// <summary>
///
/// </summary>
/// <param name="list"></param>
/// <param name="start"></param>
/// <param name="repeat"></param>
/// <param name="flip"></param>
/// <returns></returns>
private static string Condense(List<string> list, int start, int repeat)
{
StringBuilder sb = new StringBuilder();
List<char> domain = new List<char>(){list[start][0]};
for (int i = start; i < list.Count; i++)
{
bool gap = false;
for (int j = 0; j < domain.Count; j++)
{
if (list[i][0] == domain[j])
{
sb.Append(list[i]);
break;
}
else if (domain.Count < repeat)
{
domain.Add(list[i][0]);
sb.Append(list[i]);
break;
}
else
{
gap=true;
break;
}
}
if (gap) { break;}
}
return sb.ToString();
}
}
一个通用解决方案:包含K个唯一字符的最长子字符串。
int longestKCharSubstring(string s, int k) {
int i, max_len = 0, start = 0;
// either unique char & its last pos
unordered_map<char, int> ht;
for (i = 0; i < s.size(); i++) {
if (ht.size() < k || ht.find(s[i]) != ht.end()) {
ht[s[i]] = i;
} else {
// (k + 1)-th char
max_len = max(max_len, i - start);
// start points to the next of the earliest char
char earliest_char;
int earliest_char_pos = INT_MAX;
for (auto key : ht)
if (key.second < earliest_char_pos)
earliest_char = key.first;
start = ht[earliest_char] + 1;
// replace earliest_char
ht.erase(earliest_char);
ht[s[i]] = i;
}
}
// special case: e.g., "aaaa" or "aaabb" when k = 2
if (k == ht.size())
max_len = max(max_len, i - start);
return max_len;
}
import java.util.ArrayList;
import java.util.Collections;
import java.util.HashMap; import java.util.Iterator; import java.util.List;
import java.util.Map;
public class PrintLLargestSubString {
public static void main(String[] args){ String string =
"abcdefghijklmnopqrstuvbcdefghijklmnopbcsdcelfabcdefghi";
List<Integer> list = new ArrayList<Integer> (); List<Integer>
keyList = new ArrayList<Integer> (); List<Integer> Indexlist = new
ArrayList<Integer> (); List<Integer> DifferenceList = new
ArrayList<Integer> (); Map<Integer, Integer> map = new
HashMap<Integer, Integer>(); int index = 0; int len = 1; int
j=1; Indexlist.add(0); for(int i = 0; i< string.length() ;i++) {
if(j< string.length()){
if(string.charAt(i) < string.charAt(j)){
len++;
list.add(len);
} else{
index= i+1;
Indexlist.add(index); // System.out.println("nindex" + index);
len=1;
} } j++; } // System.out.println("nlist" +list); System.out.println("index List" +Indexlist); // int n =
Collections.max(list); // int ind = Collections.max(Indexlist);
// System.out.println("Max number in IndexList " +n);
// System.out.println("Index Max is " +ind);
//Finding max difference in a list of elements for(int diff = 0;
diff< Indexlist.size()-1;diff++){ int difference =
Indexlist.get(diff+1)-Indexlist.get(diff);
map.put(Indexlist.get(diff), difference);
DifferenceList.add(difference); }
System.out.println("Difference between indexes" +DifferenceList); // Iterator<Integer> keySetIterator = map.keySet().iterator(); // while(keySetIterator.hasNext()){
// Integer key = keySetIterator.next();
// System.out.println("index: " + key + "tDifference "
+map.get(key)); // // } // System.out.println("Diffferenece List" +DifferenceList); int maxdiff = Collections.max(DifferenceList); System.out.println("Max diff is " + maxdiff); ////// Integer
value = maxdiff; int key = 0; keyList.addAll(map.keySet());
Collections.sort(keyList); System.out.println("List of al keys"
+keyList); // System.out.println(map.entrySet()); for(Map.Entry entry: map.entrySet()){ if(value.equals(entry.getValue())){
key = (int) entry.getKey(); } } System.out.println("Key value of max difference starting element is " + key);
//Iterating key list and finding next key value int next = 0 ;
int KeyIndex = 0; int b; for(b= 0; b<keyList.size(); b++) {
if(keyList.get(b)==key){
KeyIndex = b; } } System.out.println("index of keyt" +KeyIndex); int nextIndex = KeyIndex+1; System.out.println("next Index = " +nextIndex); next = keyList.get(nextIndex);
System.out.println("next Index value is = " +next);
for( int z = KeyIndex; z < next ; z++) {
System.out.print(string.charAt(z)); } }
}
这个问题可以在O(n)中解决。我们的想法是维护一个窗口,并将元素添加到窗口中,直到它包含小于或等于2,如果需要,在这样做的同时更新我们的结果。如果唯一元素超过了窗口中的要求,则开始从左侧删除元素。
#code
from collections import defaultdict
def solution(s, k):
length = len(set(list(s)))
count_dict = defaultdict(int)
if length < k:
return "-1"
res = []
final = []
maxi = -1
for i in range(0, len(s)):
res.append(s[i])
if len(set(res)) <= k:
if len(res) >= maxi and len(set(res)) <= k :
maxi = len(res)
final = res[:]
count_dict[maxi] += 1
else:
while len(set(res)) != k:
res = res[1:]
if maxi <= len(res) and len(set(res)) <= k:
maxi = len(res)
final = res[:]
count_dict[maxi] += 1
return len(final)
print(solution(s, k))
这里的想法是将每个字符的出现添加到哈希图中,当哈希图大小增加超过k时,删除不需要的字符。
private static int getMaxLength(String str, int k) {
if (str.length() == k)
return k;
var hm = new HashMap<Character, Integer>();
int maxLength = 0;
int startCounter = 0;
for (int i = 0; i < str.length(); i++) {
char c = str.charAt(i);
if (hm.get(c) != null) {
hm.put(c, hm.get(c) + 1);
} else {
hm.put(c, 1);
}
//atmost K different characters
if (hm.size() > k) {
maxLength = Math.max(maxLength, i - startCounter);
while (hm.size() > k) {
char t = str.charAt(startCounter);
int count = hm.get(t);
if (count > 1) {
hm.put(t, count - 1);
} else {
hm.remove(t);
}
startCounter++;
}
}
}
return maxLength;
}