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The problem is to find special strings
A string is said to be a special string if either of two conditions is met:
All of the characters are the same, e.g. aaa.
All characters except the middle one are the same, e.g. aadaa.
This is the code I got and I understand the two cases.
Case 1: All Palindromic substrings have the same character
Case 2:Count all odd length Special Palindromic substrings with the
the middle character is different.
What I cannot understand is why I have to delete n from the result, I don't see where I am adding the extra 'n' in the algorithm.
int CountSpecialPalindrome(string str)
{
int n = str.length();
int result = 0;
int sameChar[n] = { 0 };
int i = 0;
// traverse string character from left to right
while (i < n) {
// store same character count
int sameCharCount = 1;
int j = i + 1;
// count smiler character
while (str[i] == str[j] && j < n)
sameCharCount++, j++;
// Case : 1
// so total number of substring that we can
// generate are : K *( K + 1 ) / 2
// here K is sameCharCount
result += (sameCharCount * (sameCharCount + 1) / 2);
// store current same char count in sameChar[]
// array
sameChar[i] = sameCharCount;
// increment i
i = j;
}
// Case 2: Count all odd length Special Palindromic
// substring
for (int j = 1; j < n; j++)
{
// if current character is equal to previous
// one then we assign Previous same character
// count to current one
if (str[j] == str[j - 1])
sameChar[j] = sameChar[j - 1];
// case 2: odd length
if (j > 0 && j < (n - 1) &&
(str[j - 1] == str[j + 1] &&
str[j] != str[j - 1]))
result += min(sameChar[j - 1],
sameChar[j + 1]);
}
// subtract all single length substring
return result - n;
}
// driver program to test above fun
int main()
{
string str = "abccba";
cout << CountSpecialPalindrome(str) << endl;
return 0;
}
Say we have
string a = "abc"
string b = "abcdcabaabccbaa"
Find location of all permutations of a in b. I am trying to find an effective algorithm for this.
Pseudo code:
sort string a // O(a loga)
for windows of length a in b // O(b)?
sort that window of b // O(~a loga)?
compare to a
if equal
save the index
So would this be a correct algorithm? Run time would be around O(aloga + ba loga) ~= O(a loga b)? How efficient would this be? Possibly way to reduce to O(a*b) or better?
sorting is very expensive, and doesn't use the fact you move along b with a sliding window.
I would use a comparison method that is location agnostic (since any permutation is valid) - assign each letter a prime number, and each string will be the multiplication of its letter values.
this way, as you go over b, each step requires just dividing by the letter you remove from he left, and multiplying with the next letter.
You also need to convince yourself that this indeed matches uniquely for each string and covers all permutations - this comes from the uniqueness of prime decomposition. Also note that on larger strings the numbers get big so you may need some library for large numbers
There is no need to hash, you can just count frequencies on your sliding window, and check if it matches. Assuming the size of your alphabet is s, you get a very simple O(s(n + m)) algorithm.
// a = [1 .. m] and b = [1 .. n] are the input
cnta = [1 .. s] array initialized to 0
cntb = [1 .. s] array initialized to 0
// nb_matches = the number of i s.t. cnta[i] = cntb[i]
// thus the current subword = a iff. nb_matches = s
nb_matches = s
for i = 1 to m:
if cntb[a[i]] = 0: nb_matches -= 1
cntb[a[i]] += 1
ans = 0
for i = 1 to n:
if cntb[b[i]] = cnta[b[i]]: nb_matches -= 1
cntb[b[i]] += 1
if nb_matches = s: ans += 1
if cntb[b[i]] = cnta[b[i]]: nb_matches += 1
if i - m + 1 >= 1:
if cntb[b[i - m + 1]] = cnta[b[i - m + 1]]: nb_matches -= 1
cntb[b[i - m + 1]] += 1
if cntb[b[i - m + 1]] = cnta[b[i - m + 1]]: nb_matches += 1
cntb[b[i - m + 1]] -= 1
return ans
Write a function strcount() to count the number of occurrences of character ch in a string or sub-sring str.
Then just pass through the search string.
for(i=0;i<haystacklenN-NeedleN+1;i++)
{
for(j=0;j<needleN;j++)
if(strcount(haystack + i, Nneedle, needle[j]) != strcount(needles, needlesN, needle[j])
break
}
if(j == needleN)
/* found a permuatation */
Below is my solution. The space complexity is just O(a + b), and the running time (if I can calculate correctly..) is O(b*a), as for each character in b, we may do a recursion a levels deep.
md5's answer is a good one and will be faster!!
public class FindPermutations {
public static void main(String[] args) {
System.out.println(numPerms(new String("xacxzaa"),
new String("fxaazxacaaxzoecazxaxaz")));
System.out.println(numPerms(new String("ABCD"),
new String("BACDGABCDA")));
System.out.println(numPerms(new String("AABA"),
new String("AAABABAA")));
// prints 4, then 3, then 3
}
public static int numPerms(final String a, final String b) {
int sum = 0;
for (int i = 0; i < b.length(); i++) {
if (permPresent(a, b.substring(i))) {
sum++;
}
}
return sum;
}
// is a permutation of a present at the start of b?
public static boolean permPresent(final String a, final String b) {
if (a.isEmpty()) {
return true;
}
if (b.isEmpty()) {
return false;
}
final char first = b.charAt(0);
if (a.contains(b.substring(0, 1))) {
// super ugly, but removes first from a
return permPresent(a.substring(0, a.indexOf(first)) + a.substring(a.indexOf(first)+1, a.length()),
b.substring(1));
}
return false;
}
}
For searchability's sake, I arrive on this page afer looking for other solutions to compare mine to, with the problem originating from watching this clip: https://www.hackerrank.com/domains/tutorials/cracking-the-coding-interview. The original problem statement was something like 'find all permutations of s in b'.
Use 2 hash tables and with a sliding window of size = length of smaller string:
int premutations_of_B_in_A(string large, string small) {
unordered_map<char, int> characters_in_large;
unordered_map<char, int> characters_in_small;
int ans = 0;
for (char c : small) {
characters_in_small[c]++;
}
for (int i = 0; i < small.length(); i++) {
characters_in_large[large[i]]++;
ans += (characters_in_small == characters_in_large);
}
for (int i = small.length(); i < large.length(); i++) {
characters_in_large[large[i]]++;
if (characters_in_large[large[i - small.length()]]-- == 1)
characters_in_large.erase(large[i - small.length()]);
ans += (characters_in_small == characters_in_large);
}
return ans;
}
This is almost solution but will help you to count occurrences of permutations of small strings into larger string
made for only lower case chars
This solution having --
Time Complexity - O(L)
where L is length of large input provided to problem, the exact would be to include 26 too for every char present in Large array but by ignoring constant terms, I will solely stand for this.
Space Complexity - O(1)
because 26 is also constant and independent of how large input would be.
int findAllPermutations(string small, string larger) {
int freqSmall[26] = {0};
//window size
int n = small.length();
//to return
int finalAns = 0;
for (char a : small) {
freqSmall[a - 97]++;
}
int freqlarger[26]={0};
int count = 0;
int j = 0;
for (int i = 0; larger[i] != '\0'; i++) {
freqlarger[larger[i] - 97]++;
count++;
if (count == n) {
count = 0;
int i;
for (i = 0; i < 26; i++) {
if (freqlarger[i] != freqSmall[i]) {
break;
}
}
if (i == 26) {
finalAns++;
}
freqlarger[larger[j] - 97]--;
j++;
}
}
return finalAns;
}
int main() {
string s, t;
cin >> s >> t;
cout << findAllPermutations(s, t) << endl;
return 0;
}
I was wondering how could I get the longest positive-sum subsequence in a sequence:
For example I have -6 3 -4 4 -5, so the longest positive subsequence is 3 -4 4. In fact the sum is positive (3), and we couldn't add -6 neither -5 or it would have become negative.
It could be easily solvable in O(N^2), I think could exist something much more faster, like in O(NlogN)
Do you have any idea?
EDIT: the order must be preserved, and you can skip any number from the substring
EDIT2: I'm sorry if I caused confusion using the term "sebsequence", as #beaker pointed out I meant substring
O(n) space and time solution, will start with the code (sorry, Java ;-) and try to explain it later:
public static int[] longestSubarray(int[] inp) {
// array containing prefix sums up to a certain index i
int[] p = new int[inp.length];
p[0] = inp[0];
for (int i = 1; i < inp.length; i++) {
p[i] = p[i - 1] + inp[i];
}
// array Q from the description below
int[] q = new int[inp.length];
q[inp.length - 1] = p[inp.length - 1];
for (int i = inp.length - 2; i >= 0; i--) {
q[i] = Math.max(q[i + 1], p[i]);
}
int a = 0;
int b = 0;
int maxLen = 0;
int curr;
int[] res = new int[] {-1,-1};
while (b < inp.length) {
curr = a > 0 ? q[b] - p[a-1] : q[b];
if (curr >= 0) {
if(b-a > maxLen) {
maxLen = b-a;
res = new int[] {a,b};
}
b++;
} else {
a++;
}
}
return res;
}
we are operating on input array A of size n
Let's define array P as the array containing the prefix sum until index i so P[i] = sum(0,i) where `i = 0,1,...,n-1'
let's notice that if u < v and P[u] <= P[v] then u will never be our ending point
because of the above we can define an array Q which has Q[n-1] = P[n-1] and Q[i] = max(P[i], Q[i+1])
now let's consider M_{a,b} which shows us the maximum sum subarray starting at a and ending at b or beyond. We know that M_{0,b} = Q[b] and that M_{a,b} = Q[b] - P[a-1]
with the above information we can now initialise our a, b = 0 and start moving them. If the current value of M is bigger or equal to 0 then we know we will find (or already found) a subarray with sum >= 0, we then just need to compare b-a with the previously found length. Otherwise there's no subarray that starts at a and adheres to our constraints so we need to increment a.
Let's make a naive implementation and then improve it.
We move from the left to the right calculating partial sums and for each position we find the most-left partial sum such as the current partial sum is greater than that.
input a
int partialSums[len(a)]
for i in range(len(a)):
partialSums[i] = (i == 0 ? 0 : partialSums[i - 1]) + a[i]
if partialSums[i] > 0:
answer = max(answer, i + 1)
else:
for j in range(i):
if partialSums[i] - partialSums[j] > 0:
answer = max(answer, i - j)
break
This is O(n2). Now the part of finding the left-most "good" sum could be actually maintained via BST, where each node would be represented as a pair (partial sum, index) with a comparison by partial sum. Also each node should support a special field min that would be the minimum of indices in this subtree.
Now instead of the straightforward search of an appropriate partial sum we could descend the BST using the current partial sum as a key following the next three rules (assuming C is the current node, L and R are the roots of the left and the right subtrees respectively):
Maintain the current minimal index of "good" partial sums found in curMin, initially +∞.
If C.partial_sum is "good" then update curMin with C.index.
If we go to R then update curMin with L.min.
And then update the answer with i - curMin, also add the current partial sum to the BST.
That would give us O(n * log n).
We can easily have a O(n log n) solution for longest subsequence.
First, sort the array, remember their indexes.
Pick all the largest numbers, stop when their sum are negative, and you have your answer.
Recover their original order.
Pseudo code
sort(data);
int length = 0;
long sum = 0;
boolean[] result = new boolean[n];
for(int i = n ; i >= 1; i--){
if(sum + data[i] <= 0)
break;
sum += data[i];
result[data[i].index] = true;
length++;
}
for(int i = 1; i <= n; i++)
if(result[i])
print i;
So, rather than waiting, I will propose a O(n log n) solution for longest positive substring.
First, we create an array prefix which is the prefix sum of the array.
Second, we using binary search to look for the longest length that has positive sum
Pseudocode
int[]prefix = new int[n];
for(int i = 1; i <= n; i++)
prefix[i] = data[i];
if(i - 1 >= 1)
prefix[i] += prefix[i - 1];
int min = 0;
int max = n;
int result = 0;
while(min <= max){
int mid = (min + max)/2;
boolean ok = false;
for(int i = 1; i <= n; i++){
if(i > mid && pre[i] - pre[i - mid] > 0){//How we can find sum of segment with mid length, and end at index i
ok = true;
break;
}
}
if(ok){
result = max(result, mid)
min = mid + 1;
}else{
max = mid - 1;
}
}
Ok, so the above algorithm is wrong, as pointed out by piotrekg2 what we need to do is
create an array prefix which is the prefix sum of the array.
Sort the prefix array, and we need to remember the index of the prefix array.
Iterate through the prefix array, storing the minimum index we meet so far, the maximum different between the index is the answer.
Note: when we comparing value in prefix, if two indexes have equivalent values, so which has smaller index will be considered larger, this will avoid the case when the sum is 0.
Pseudo code:
class Node{
int val, index;
}
Node[]prefix = new Node[n];
for(int i = 1; i <= n; i++)
prefix[i] = new Node(data[i],i);
if(i - 1 >= 1)
prefix[i].val += prefix[i - 1].val;
sort(prefix);
int min = prefix[1].index;
int result = 0;
for(int i = 2; i <= n; i ++)
if(prefix[i].index > min)
result = max(prefix[i].index - min + 1, result)
min = min(min, prefix[i].index);
I need to find a dynamic programming algorithm to solve this problem. I tried but couldn't figure it out. Here is the problem:
You are given a string of n characters s[1...n], which you believe to be a corrupted text document in which all punctuation has vanished (so that it looks something like "itwasthebestoftimes..."). You wish to reconstruct the document using a dictionary, which is available in the form of a Boolean function dict(*) such that, for any string w, dict(w) has value 1 if w is a valid word, and has value 0 otherwise.
Give a dynamic programming algorithm that determines whether the string s[*] can be reconstituted as a sequence of valid words. The running time should be at most O(n^2), assuming that each call to dict takes unit time.
In the event that the string is valid, make your algorithm output the corresponding sequence of words.
Let the length of your compacted document be N.
Let b(n) be a boolean: true if the document can be split into words starting from position n in the document.
b(N) is true (since the empty string can be split into 0 words).
Given b(N), b(N - 1), ... b(N - k), you can construct b(N - k - 1) by considering all words that start at character N - k - 1. If there's any such word, w, with b(N - k - 1 + len(w)) set, then set b(N - k - 1) to true. If there's no such word, then set b(N - k - 1) to false.
Eventually, you compute b(0) which tells you if the entire document can be split into words.
In pseudo-code:
def try_to_split(doc):
N = len(doc)
b = [False] * (N + 1)
b[N] = True
for i in range(N - 1, -1, -1):
for word starting at position i:
if b[i + len(word)]:
b[i] = True
break
return b
There's some tricks you can do to get 'word starting at position i' efficient, but you're asked for an O(N^2) algorithm, so you can just look up every string starting at i in the dictionary.
To generate the words, you can either modify the above algorithm to store the good words, or just generate it like this:
def generate_words(doc, b, idx=0):
length = 1
while true:
assert b(idx)
if idx == len(doc): return
word = doc[idx: idx + length]
if word in dictionary and b(idx + length):
output(word)
idx += length
length = 1
Here b is the boolean array generated from the first part of the algorithm.
To formalize what #MinhPham suggested.
This is a dynammic programming solution.
Given a string str, let
b[i] = true if the substring str[0...i] (inclusive) can be split into valid words.
Prepend some starting character to str, say !, to represent the empty word.
str = "!" + str
The base case is the empty string, so
b[0] = true.
For the iterative case:
b[j] = true if b[i] == true and str[i..j] is a word for all i < j
The O(N^2) Dp is clear but if you know the words of the dictionary, i think you can use some precomputations to get it even faster in O(N).
Aho-Corasick
A dp solution in c++:
int main()
{
set<string> dict;
dict.insert("12");
dict.insert("123");
dict.insert("234");
dict.insert("12345");
dict.insert("456");
dict.insert("1234");
dict.insert("567");
dict.insert("123342");
dict.insert("42");
dict.insert("245436564");
dict.insert("12334");
string str = "123456712334245436564";
int size = str.size();
vector<int> dp(size+1, -1);
dp[0] = 0;
vector<string > res(size+1);
for(int i = 0; i < size; ++i)
{
if(dp[i] != -1)
{
for(int j = i+1; j <= size; ++j)
{
const int len = j-i;
string substr = str.substr(i, len);
if(dict.find(substr) != dict.end())
{
string space = i?" ":"";
res[i+len] = res[i] + space + substr;
dp[i+len] = dp[i]+1;
}
}
}
}
cout << *dp.rbegin() << endl;
cout << *res.rbegin() << endl;
return 0;
}
The string s[] can potentially be split into more than one ways. The method below finds the maximum number of words in which we can split s[]. Below is the sketch/pseudocode of the algorithm
bestScore[i] -> Stores the maximum number of words in which the first i characters can be split (it would be MINUS_INFINITY otherwise)
for (i = 1 to n){
bestScore[i] = MINUS_INFINITY
for (k = 1 to i-1){
bestScore[i] = Max(bestSCore[i], bestScore[i-k]+ f(i,k))
}
}
Where f(i,k) is defined as:
f(i,k) = 1 : if s[i-k+1 to i] is in dictionary
= MINUS_INFINITY : otherwise
bestScore[n] would store the maximum number of words in which s[] can be split (if the value is MINUS_INFINIY, s[] cannot be split)
Clearly the running time is O(n^2)
As this looks like a textbook exercise, I will not write the code to reconstruct the actual split positions.
Below is an O(n^2) solution for this problem.
void findstringvalid() {
string s = "itwasthebestoftimes";
set<string> dict;
dict.insert("it");
dict.insert("was");
dict.insert("the");
dict.insert("best");
dict.insert("of");
dict.insert("times");
vector<bool> b(s.size() + 1, false);
vector<int> spacepos(s.size(), -1);
//Initialization phase
b[0] = true; //String of size 0 is always a valid string
for (int i = 1; i <= s.size(); i++) {
for (int j = 0; j <i; j++) {
//string of size s[ j... i]
if (!b[i]) {
if (b[j]) {
//check if string "j to i" is in dictionary
string temp = s.substr(j, i - j);
set<string>::iterator it = dict.find(temp);
if (it != dict.end()) {
b[i] = true;
spacepos[i-1] = j;
}
}
}
}
}
if(b[s.size()])
for (int i = 1; i < spacepos.size(); i++) {
if (spacepos[i] != -1) {
string temp = s.substr(spacepos[i], i - spacepos[i] + 1);
cout << temp << " ";
}
}
}
I want an efficient algorithm to find the next greater permutation of the given string.
Wikipedia has a nice article on lexicographical order generation. It also describes an algorithm to generate the next permutation.
Quoting:
The following algorithm generates the next permutation lexicographically after a given permutation. It changes the given permutation in-place.
Find the highest index i such that s[i] < s[i+1]. If no such index exists, the permutation is the last permutation.
Find the highest index j > i such that s[j] > s[i]. Such a j must exist, since i+1 is such an index.
Swap s[i] with s[j].
Reverse the order of all of the elements after index i till the last element.
A great solution that works is described here: https://www.nayuki.io/page/next-lexicographical-permutation-algorithm. And the solution that, if next permutation exists, returns it, otherwise returns false:
function nextPermutation(array) {
var i = array.length - 1;
while (i > 0 && array[i - 1] >= array[i]) {
i--;
}
if (i <= 0) {
return false;
}
var j = array.length - 1;
while (array[j] <= array[i - 1]) {
j--;
}
var temp = array[i - 1];
array[i - 1] = array[j];
array[j] = temp;
j = array.length - 1;
while (i < j) {
temp = array[i];
array[i] = array[j];
array[j] = temp;
i++;
j--;
}
return array;
}
Using the source cited by #Fleischpfanzerl:
We follow the steps as below to find the next lexicographical permutation:
nums = [0,1,2,5,3,3,0]
nums = [0]*5
curr = nums[-1]
pivot = -1
for items in nums[-2::-1]:
if items >= curr:
pivot -= 1
curr = items
else:
break
if pivot == - len(nums):
print('break') # The input is already the last possible permutation
j = len(nums) - 1
while nums[j] <= nums[pivot - 1]:
j -= 1
nums[j], nums[pivot - 1] = nums[pivot - 1], nums[j]
nums[pivot:] = nums[pivot:][::-1]
> [1, 3, 0, 2, 3, 5]
So the idea is:
The idea is to follow steps -
Find a index 'pivot' from the end of the array such that nums[i - 1] < nums[i]
Find index j, such that nums[j] > nums[pivot - 1]
Swap both these indexes
Reverse the suffix starting at pivot
Homework? Anyway, can look at the C++ function std::next_permutation, or this:
http://blog.bjrn.se/2008/04/lexicographic-permutations-using.html
We can find the next largest lexicographic string for a given string S using the following step.
1. Iterate over every character, we will get the last value i (starting from the first character) that satisfies the given condition S[i] < S[i + 1]
2. Now, we will get the last value j such that S[i] < S[j]
3. We now interchange S[i] and S[j]. And for every character from i+1 till the end, we sort the characters. i.e., sort(S[i+1]..S[len(S) - 1])
The given string is the next largest lexicographic string of S. One can also use next_permutation function call in C++.
nextperm(a, n)
1. find an index j such that a[j….n - 1] forms a monotonically decreasing sequence.
2. If j == 0 next perm not possible
3. Else
1. Reverse the array a[j…n - 1]
2. Binary search for index of a[j - 1] in a[j….n - 1]
3. Let i be the returned index
4. Increment i until a[j - 1] < a[i]
5. Swap a[j - 1] and a[i]
O(n) for each permutation.
I came across a great tutorial.
link : https://www.youtube.com/watch?v=quAS1iydq7U
void Solution::nextPermutation(vector<int> &a) {
int k=0;
int n=a.size();
for(int i=0;i<n-1;i++)
{
if(a[i]<a[i+1])
{
k=i;
}
}
int ele=INT_MAX;
int pos=0;
for(int i=k+1;i<n;i++)
{
if(a[i]>a[k] && a[i]<ele)
{
ele=a[i];pos=i;
}
}
if(pos!=0)
{
swap(a[k],a[pos]);
reverse(a.begin()+k+1,a.end());
}
}
void Solution::nextPermutation(vector<int> &a) {
int i, j=-1, k, n=a.size();
for(i=0; i<n-1; i++) if(a[i] < a[i+1]) j=i;
if(j==-1) reverse(a.begin(), a.end());
else {
for(i=j+1; i<n; i++) if(a[j] < a[i]) k=i;
swap(a[j],a[k]);
reverse(a.begin()+j+1, a.end());
}}
A great solution that works is described here: https://www.nayuki.io/page/next-lexicographical-permutation-algorithm.
and if you are looking for
source code:
/**
* method to find the next lexicographical greater string
*
* #param w
* #return a new string
*/
static String biggerIsGreater(String w) {
char charArray[] = w.toCharArray();
int n = charArray.length;
int endIndex = 0;
// step-1) Start from the right most character and find the first character
// that is smaller than previous character.
for (endIndex = n - 1; endIndex > 0; endIndex--) {
if (charArray[endIndex] > charArray[endIndex - 1]) {
break;
}
}
// If no such char found, then all characters are in descending order
// means there cannot be a greater string with same set of characters
if (endIndex == 0) {
return "no answer";
} else {
int firstSmallChar = charArray[endIndex - 1], nextSmallChar = endIndex;
// step-2) Find the smallest character on right side of (endIndex - 1)'th
// character that is greater than charArray[endIndex - 1]
for (int startIndex = endIndex + 1; startIndex < n; startIndex++) {
if (charArray[startIndex] > firstSmallChar && charArray[startIndex] < charArray[nextSmallChar]) {
nextSmallChar = startIndex;
}
}
// step-3) Swap the above found next smallest character with charArray[endIndex - 1]
swap(charArray, endIndex - 1, nextSmallChar);
// step-4) Sort the charArray after (endIndex - 1)in ascending order
Arrays.sort(charArray, endIndex , n);
}
return new String(charArray);
}
/**
* method to swap ith character with jth character inside charArray
*
* #param charArray
* #param i
* #param j
*/
static void swap(char charArray[], int i, int j) {
char temp = charArray[i];
charArray[i] = charArray[j];
charArray[j] = temp;
}
If you are looking for video explanation for the same, you can visit here.
This problem can be solved just by using two simple algorithms searching and find smaller element in just O(1) extra space and O(nlogn ) time and also easy to implement .
To understand this approach clearly . Watch this Video : https://www.youtube.com/watch?v=DREZ9pb8EQI
def result(lst):
if len(lst) == 0:
return 0
if len(lst) == 1:
return [lst]
l = []
for i in range(len(lst)):
m = lst[i]
remLst = lst[:i] + lst[i+1:]
for p in result(remLst):
l.append([m] + p)
return l
result(['1', '2', '3'])
Start traversing from the end of the list. Compare each one with the previous index value.
If the previous index (say at index i-1) value, consider x, is lower than the current index (index i) value, sort the sublist on right side starting from current position i.
Pick one value from the current position till end which is just higher than x, and put it at index i-1. At the index the value was picked from, put x. That is:
swap(list[i-1], list[j]) where j >= i, and the list is sorted from index "i" onwards
Code:
public void nextPermutation(ArrayList<Integer> a) {
for (int i = a.size()-1; i > 0; i--){
if (a.get(i) > a.get(i-1)){
Collections.sort(a.subList(i, a.size()));
for (int j = i; j < a.size(); j++){
if (a.get(j) > a.get(i-1)) {
int replaceWith = a.get(j); // Just higher than ith element at right side.
a.set(j, a.get(i-1));
a.set(i-1, replaceWith);
return;
}
}
}
}
// It means the values are already in non-increasing order. i.e. Lexicographical highest
// So reset it back to lowest possible order by making it non-decreasing order.
for (int i = 0, j = a.size()-1; i < j; i++, j--){
int tmp = a.get(i);
a.set(i, a.get(j));
a.set(j, tmp);
}
}
Example :
10 40 30 20 => 20 10 30 40 // 20 is just bigger than 10
10 40 30 20 5 => 20 5 10 30 40 // 20 is just bigger than 10. Numbers on right side are just sorted form of this set {numberOnRightSide - justBigger + numberToBeReplaced}.
This is efficient enough up to strings with 11 letters.
// next_permutation example
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
void nextPerm(string word) {
vector<char> v(word.begin(), word.end());
vector<string> permvec; // permutation vector
string perm;
int counter = 0; //
int position = 0; // to find the position of keyword in the permutation vector
sort (v.begin(),v.end());
do {
perm = "";
for (vector<char>::const_iterator i = v.begin(); i != v.end(); ++i) {
perm += *i;
}
permvec.push_back(perm); // add permutation to vector
if (perm == word) {
position = counter +1;
}
counter++;
} while (next_permutation(v.begin(),v.end() ));
if (permvec.size() < 2 || word.length() < 2) {
cout << "No answer" << endl;
}
else if (position !=0) {
cout << "Answer: " << permvec.at(position) << endl;
}
}
int main () {
string word = "nextperm";
string key = "mreptxen";
nextPerm(word,key); // will check if the key is a permutation of the given word and return the next permutation after the key.
return 0;
}
I hope this code might be helpful.
int main() {
char str[100];
cin>>str;
int len=strlen(len);
int f=next_permutation(str,str+len);
if(f>0) {
print the string
} else {
cout<<"no answer";
}
}