Complexity Reduction to O(n) Over Multiple Simultaeneous Vector Iteration - c++

So I have 2 string vectors with the following content:
tokens: name name place thing thing
u_tokens: name place thing
Now my task is to simultaneously loop through both these vectors and find the occurrence of each word and store it in a third vector. Here's a minimal working implementation that I did (my task doesn't mention about duplicates so I did not consider removing it) :
#include <iostream>
#include <vector>
#include <string>
using namespace std;
int main()
{
vector<int> counts;
vector<string> tokens;
vector<string> u_tokens;
tokens.push_back("name");
tokens.push_back("name");
tokens.push_back("place");
tokens.push_back("thing");
tokens.push_back("thing");
u_tokens.push_back("name");
u_tokens.push_back("place");
u_tokens.push_back("thing");
string temp;
int temp_count = 0;
for (int i = 0; i < tokens.size(); i++)
{
temp = tokens[i];
for (int j = 0; j < u_tokens.size(); j++)
{
if(temp == u_tokens[j])
{
temp_count++;
}
}
temp = tokens[i];
for (int k = 0; k < tokens.size(); k++)
{
if (temp == tokens[k])
{
temp_count++;
}
}
counts.push_back(temp_count);
temp_count = 0;
}
for (vector<int>::const_iterator i = counts.begin(); i != counts.end(); ++i)
cout << *i << " ";
return 0;
}
However, I noticed, this obviously has a O(n^2) complexity. How can I reduce it to O(n)? Is it possible?
Regards.

#include <iostream>
#include <vector>
#include <string>
#include <unordered_map>
using namespace std;
void CountOccurences(const vector<string>& input, unordered_map<string, size_t>& occurences)
{
for (int i = 0; i < input.size(); i++)
{
occurences[input[i]]++;
}
}
int main()
{
vector<string> tokens;
vector<string> u_tokens;
unordered_map<string, size_t> occurences;
tokens.push_back("name");
tokens.push_back("name");
tokens.push_back("place");
tokens.push_back("thing");
tokens.push_back("thing");
u_tokens.push_back("name");
u_tokens.push_back("place");
u_tokens.push_back("thing");
CountOccurences(tokens, occurences);
CountOccurences(u_tokens, occurences);
for (auto i : occurences)
cout << i.first << "=" << i.second << " ";
return 0;
}
Use std::unordered_map as O(1) access container to create O(N) solution. In cost of memory of course.
Link to online compiled program

Related

Set of Pairs program in C++

I am making a set of pairs of Max and Min elements of Every Subset in an Array.But its giving me these errors. And at last I need Size of set.
(Edited with some suggestions)
In function 'int main()':
27:12: error: 'max_element' was not declared in this scope
27:12: note: suggested alternative: 'max_align_t'
28:12: error: 'min_element' was not declared in this scopeIn function 'int main()':
Code:
#include <iostream>
#include <set>
#include <vector>
#include <utility>
typedef std::pair<int,int> pairs;
using namespace std;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, max, min;
set<pairs> s;
cin >> n;
int a[n];
for(int i=0;i<n;i++) {
cin >> a[i];
}
for(int i=0;i<n;i++) {
for(int j=i;j<n;j++) {
vector<int> v;
v.push_back(a[j]);
if(v.size() > 1) {
max = *max_element(v.begin(),v.end());
min = *min_element(v.begin(),v.end());
pairs p1 = make_pair(max, min);
s.insert(p1);
max = 0;
min = 0;
}
}
}
cout << s.size() << endl;
}
typedef pair<int,int> pairs;
should be
typedef std::pair<int,int> pairs;
(Or you could move using namespace std; so that it is before your typedef).
Plus typedefing a single pair as the plural pairs is a really really bad idea, that is going to confuse you and anyone else reading your code for the rest of this programs existence. If you want a typedef for a pair of ints, then call it that
typedef std::pair<int,int> pair_of_ints;
To make your last programme works, it was needed to move the declaration of std::vector<int> v;
Moreover, your code has a complexity O(n^3). In practice, it is possible to get a complexity O(n^2), by calculating
iteratively the max and min values.
This code compares your code and the new one. The results are identical. However, I cannot be sure
that your original code does what you intended to do.
#include <iostream>
#include <set>
#include <vector>
#include <utility>
#include <algorithm>
typedef std::pair<int,int> pairs;
//using namespace std;
void print (const std::set<pairs> &s) {
for (auto& p: s) {
std::cout << "(" << p.first << ", " << p.second << ") ";
}
std::cout << "\n";
}
int count_pairs_op (const std::vector<int>& a) {
int max, min;
int n = a.size();
std::set<pairs> s;
for(int i = 0; i < n; i++) {
std::vector<int> v;
for(int j = i; j < n; j++) {
v.push_back(a[j]);
if(v.size() > 1) {
max = *std::max_element(v.begin(), v.end());
min = *std::min_element(v.begin(), v.end());
pairs p1 = std::make_pair(max, min);
s.insert(p1);
}
}
}
print (s);
return s.size();
}
int count_pairs_new (const std::vector<int>& a) {
int max, min;
int n = a.size();
std::set<pairs> s;
for(int i = 0; i < n; i++) {
min = a[i];
max = a[i];
for(int j = i+1; j < n; j++) {
max = std::max (max, a[j]);
min = std::min (min, a[j]);
pairs p1 = std::make_pair(max, min);
s.insert(p1);
}
}
print (s);
return s.size();
}
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(NULL);
int n;
std::cin >> n;
std::vector<int> a(n);
for(int i = 0; i < n; i++) {
std::cin >> a[i];
}
std::cout << count_pairs_op(a) << std::endl;
std::cout << count_pairs_new(a) << std::endl;
}
It appears that there was a mistake in the understanding of the problem.
For each subarray, we have to consider the maximum and the second maximum.
Moreover, we know that all elements are distinct.
As the size can be up to 10^5, we have to look for a complexity smaller than O(n^2).
In practice, each element can be the second element of two subarrays,
if there exist a greater element before and after it.
We just have to check it.
This can be perfomed by calculating, for each index i, the maximum value before and after it.
Total complexity: O(n)
#include <iostream>
#include <set>
#include <vector>
#include <utility>
#include <algorithm>
int count_pairs_2nd_max (const std::vector<int>& a) {
int n = a.size();
int count = 0;
std::vector<int> max_up(n), max_down(n);
max_up[0] = -1;
for (int i = 1; i < n; ++i) {
max_up[i] = std::max(max_up[i-1], a[i-1]);
}
max_down[n-1] = -1;
for (int i = n-2; i >= 0; --i) {
max_down[i] = std::max(max_down[i+1], a[i+1]);
}
for(int i = 0; i < n; ++i) {
if (max_up[i] > a[i]) count++;
if (max_down[i] > a[i]) count++;
}
return count;
}
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(NULL);
int n;
std::cin >> n;
std::vector<int> a(n);
for(int i = 0; i < n; i++) {
std::cin >> a[i];
}
std::cout << count_pairs_2nd_max(a) << std::endl;
}

How to print to the console after every swap using any sorting algorithm?

In my Intro to Computer Science class I am beginning to learn the basics of sorting algorithms. So far, we have gone over Bubble, Selection, and Insertion Sort.
After class today, the instructor has requested us to "enhance" the program by adding code to print out the vector/array after every swap during the sorting. I am at a complete loss as to how I would make this happen. I'm thinking something like :
if (swapped) { cout << vec << " "; }
but without even trying, I'm certain this wouldn't work. Any help is very much appreciated. Here's my code so far:
#include <string>
#include <cstdlib>
#include <ctime>
#include <vector>
#include <algorithm>
using namespace std;
vector<int> createVec(int n) {
unsigned seed = time(0);
srand(seed);
vector<int> vec;
for (int i = 1; i <= n; ++i) {
vec.push_back(rand() % 100 + 1);
}
return vec;
}
void showVec(vector<int> vec) {
for (int n : vec) {
cout << n << " ";
}
}
void bubbleSort(vector<int> &vec) {
int n = vec.size();
bool swapped = true;
while (swapped) {
swapped = false;
for (int i = 1; i <= n-1; ++i) {
if (vec[i-1] > vec[i]) {
swap(vec[i-1], vec[i]);
swapped = true;
}
}
}
}
void selectionSort(vector<int> &vec) {
int n = vec.size();
int maxIndex;
for (int i = 0; i <= n-2; ++i) {
maxIndex = i;
for (int j = i+1; j <= n-1; ++j) {
if (vec[j] < vec[maxIndex]) {
maxIndex = j;
}
}
swap(vec[i], vec[maxIndex]);
}
}
int main()
{
vector<int> numbers = createVec(20);
showVec(numbers);
cout << endl;
//bubbleSort(numbers);
selectionSort(numbers);
showVec(numbers);
return 0;
}
For example in the called function selectionSort substitute this statement
swap(vec[i], vec[maxIndex]);
for the following statement
if ( i != maxIndex )
{
swap(vec[i], vec[maxIndex]);
showVec( vec );
cout << endl;
}
Also the function showVec should declare the parameter as having a constant referenced type
void showVec( const vector<int> &vec) {
for (int n : vec) {
cout << n << " ";
}
}

Picking about random character without repetition c++

I need to pick m amount of random characters(letters) without repetition and im completely stuck, i keep getting only 1 random letter. How can i fix my code? Is there even a way to fix this or should i just scrap this idea and look for a solution from some kinf od tutorials?
#include <iostream>
#include <ctime>
#include <cstdlib>
#include <string>
using namespace std;
int main()
{
cout << "number below 27" << endl;
int m;
cin >> m;
srand(time(NULL));
bool repeat = false;
char letters[m];
char letter;
for(int i = 0; i < m; i++){
letter = rand()%26 +97;
repeat = true;
for(int j = 0; j < m; j++){
if(letters[m] == letters[j]){
repeat = false;
break;
}
}
if(repeat){
letters[m] = letter;
}
}
for (int i = 0; i < m; i++){
cout << letters[m];
}
}
You can use suffle -
#include <random>
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
int main ()
{
char charSet[]={'a','b','c'};//You can add all the charecters
std::random_device rd;
std::mt19937 g(rd());
std::shuffle(charSet,charSet+3,g);
for(auto c : charSet)
{
std::cout<<c;
}
std::cout<<endl;
return 0;
}
bool repeat = false;
vector<char> letters(m);
char letter;
for(int i = 0; i < m; i++){
do
{
repeat = false;
letter = rand()%26 +97; // generate new random number
for(int j = 0; j<=i; j++) // iterate through the already generated numbers
{
if (letter == letters[j]){ // if the generated number already exists, do the while again
repeat = true;
break;
}
}
} while(repeat);
letters[i] = letter; // assign the unique number
cout << letter;
repeat = false;
}
You repeat the random number generator until you have a unique random number.
And to output your values use i because m is constant and out of bounds:
for (int i = 0; i < m; i++){
cout << letters[i];
}
I think the direct method is to use set in C++. The following solution is done just now utilising set to ensure the unique. Hope it could be helpful.
#include <iostream>
#include <ctime>
#include <set>
#include <random>
using namespace std;
int main()
{
cout << "number below 27" << endl;
int m;
cin >> m;
srand(time(NULL));
set<char> letters_set;
while(letters_set.size() < m){
char c = rand()%26+'a';
letters_set.insert(c);
}
for(auto c: letters_set)
cout<<c<<endl;
}
A more efficient solution which also ensure the equal possibility for each letter.
#include <iostream>
#include <ctime>
#include <set>
#include <random>
using namespace std;
int main()
{
cout << "number below 27" << endl;
int m;
cin >> m;
srand(time(NULL));
vector<int> all_letters(26, 'a');
for(int i = 0; i < 26; ++i) all_letters[i] += i;
vector<char> letters_set;
for(int i = 0; i < m; ++i){
int select = rand()%all_letters.size();
letters_set.push_back(all_letters[select]);
all_letters.erase(all_letters.begin()+select);
}
for(auto c: letters_set)
cout<<c<<endl;
}
There is an obvious error in the logic of your code: when you test for repetition you compare to the beyond the end letter only, instead to all those sampled so far. The correct test would be
for(int i = 0; i < m; i++) {
bool repeating;
char tryletter;
do {
tryletter = rand()%26 +97;
repeating = false;
for(auto j=0; j!=i && !repeating; ++j)
repeating = tryletter == letters[j];
} while(repeating);
letters[i] = tryletter;
}
Though this is not the most efficient way to do what you've been asked to do. A more efficient way would be to start with all 26 letters, pick one at random and remove it from the set, then continue to pick and remove random letters. For example
std::string random_letters_without_repetition(std::size_t m)
{
std::string letters;
std::string all = "abcdefghijklmnopqrstuvwxyz";
assert(m <= all.size());
std::random_device r;
std::default_random_engine rng(r());
while(m--) {
std::uniform_int_distribution<std::size_t> uni{0,all.size()-1};
auto index = uni(rng);
letters += all[index];
all.erase(index);
}
return letters;
}

c++ output increasing numbers

Hi I have an array of share prices but I only want to output them as they increase.
For example if I have 1,1,1,2,2,2,3,3,3,4,4,4,5,5,5, etc. I only want to print 1,2,3,4.
I have tried setting a temporary max and min but still can't get it.
Now I only have this:
for(int h = 0; h < max; h++)
{
if(v3[h].getPrice() > 0)
{
ofile << v[h].getPrice() << ", ";
}
}
What you want is this
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
int main()
{
// Assign your vector
int a[] = {1,1,1,2,2,3,3,3,4,4,5,5,5,1,3};
vector<int> vec(a, a+15);
// Sort before calling unique
sort(vec.begin(), vec.end());
// Impose only one of each
vector<int>::iterator it;
it = unique(vec.begin(), vec.end());
vec.resize( distance(vec.begin(),it) );
// Output your vector
for( vector<int>::iterator i = vec.begin(); i!= vec.end(); ++i)
cout << (*i) << endl;
return 0;
}
Live example
The sort is necessary for unique to work.
#include <iostream>
using namespace std;
int main()
{
int a[15] = {1,1,1,2,2,2,3,3,3,4,4,4,5,5,5};
for (int i=0; i<15; i+=3)
{
cout << a[i] <<",";
}
return 0;
}
Increment the counter 3 times in the loop " for(int h=0;h < max; h+=3){} ".

How to generate all permutations of an array in sorted order?

I have an array, and the user can insert a string.
And I have this code:
int main(){
char anagrama[13];
cin >> anagrama;
for(int j = 0; j < strlen(anagrama); j++){
cout << anagrama[j];
for(int k = 0; k < strlen(anagrama); k++){
if(j != k)
cout << anagrama[k];
}
cout << endl;
}
}
The problem is that I need all permutations of the string in sorted order.
For example if the user write: abc, the output must to be:
abc
acb
bac
bca
cab
cba
and my code doesn't show all permutations, and not sorted
Can you help me?
I need do the implementation without a function already implemented.
I think with a recursive function, but I do not know how.
This is an example:
http://www.disfrutalasmatematicas.com/combinatoria/combinaciones-permutaciones-calculadora.html without repetition and sorted
In C++ you can use std::next_permutation to go through permutations one by one. You need to sort the characters alphabetically before calling std::next_permutation for the first time:
cin>>anagrama;
int len = strlen(anagrama);
sort(anagrama, anagrama+len);
do {
cout << anagrama << endl;
} while (next_permutation(anagrama, anagrama+len));
Here is a demo on ideone.
If you must implement permutations yourself, you could borrow the source code of next_permutation, or choose a simpler way of implementing a permutation algorithm recursively.
#include <iostream>
#include <string>
#include <algorithm>
using namespace std;
void permute(string select, string remain){
if(remain == ""){
cout << select << endl;
return;
}
for(int i=0;remain[i];++i){
string wk(remain);
permute(select + remain[i], wk.erase(i, 1));
}
}
int main(){
string anagrama;
cout << "input character set >";
cin >> anagrama;
sort(anagrama.begin(), anagrama.end());
permute("", anagrama);
}
Another version
#include <iostream>
#include <string>
#include <vector>
#include <iterator>
#include <algorithm>
using namespace std;
void permute(string& list, int level, vector<string>& v){
if(level == list.size()){
v.push_back(list);
return;
}
for(int i=level;list[i];++i){
swap(list[level], list[i]);
permute(list, level + 1, v);
swap(list[level], list[i]);
}
}
int main(){
string anagrama;
vector<string> v;
cout << "input character set >";
cin >> anagrama;
permute(anagrama, 0, v);
sort(v.begin(), v.end());
copy(v.begin(), v.end(), ostream_iterator<string>(cout, "\n"));
}
#alexander the output of this programme is in exact order as requested by you:
HERE, is a simplest code for generating all combination/permutations of a given array without including some special libraries (only iostream.h and string are included) and without using some special namespaces than usual ( only namespace std is used).
void shuffle_string_algo( string ark )
{
//generating multi-dimentional array:
char** alpha = new char*[ark.length()];
for (int i = 0; i < ark.length(); i++)
alpha[i] = new char[ark.length()];
//populating given string combinations over multi-dimentional array
for (int i = 0; i < ark.length(); i++)
for (int j = 0; j < ark.length(); j++)
for (int n = 0; n < ark.length(); n++)
if( (j+n) <= 2 * (ark.length() -1) )
if( i == j-n)
alpha[i][j] = ark[n];
else if( (i-n)== j)
alpha[i][j] = ark[ ark.length() - n];
if(ark.length()>=2)
{
for(int i=0; i<ark.length() ; i++)
{
char* shuffle_this_also = new char(ark.length());
int j=0;
//storing first digit in golobal array ma
ma[v] = alpha[i][j];
//getting the remaning string
for (; j < ark.length(); j++)
if( (j+1)<ark.length())
shuffle_this_also[j] = alpha[i][j+1];
else
break;
shuffle_this_also[j]='\0';
//converting to string
string send_this(shuffle_this_also);
//checking if further combinations exist or not
if(send_this.length()>=2)
{
//review the logic to get the working idea of v++ and v--
v++;
shuffle_string_algo( send_this);
v--;
}
else
{
//if, further combinations are not possiable print these combinations
ma[v] = alpha[i][0];
ma[++v] = alpha[i][1];
ma[++v] = '\0';
v=v-2;
string disply(ma);
cout<<++permutaioning<<":\t"<<disply<<endl;
}
}
}
}
and main:
int main()
{
string a;
int ch;
do
{
system("CLS");
cout<<"PERMUNATING BY ARK's ALGORITH"<<endl;
cout<<"Enter string: ";
fflush(stdin);
getline(cin, a);
ma = new char[a.length()];
shuffle_string_algo(a);
cout<<"Do you want another Permutation?? (1/0): ";
cin>>ch;
} while (ch!=0);
return 0;
}
HOPE! it helps you! if you are having problem with understanding logic just comment below and i will edit.
/*Think of this as a tree. The depth of the tree is same as the length of string.
In this code, I am starting from root node " " with level -1. It has as many children as the characters in string. From there onwards, I am pushing all the string characters in stack.
Algo is like this:
1. Put root node in stack.
2. Loop till stack is empty
2.a If backtracking
2.a.1 loop from last of the string character to present depth or level and reconfigure datastruture.
2.b Enter the present char from stack into output char
2.c If this is leaf node, print output and continue with backtracking on.
2.d Else find all the neighbors or children of this node and put it them on stack. */
class StringEnumerator
{
char* m_string;
int m_length;
int m_nextItr;
public:
StringEnumerator(char* str, int length): m_string(new char[length + 1]), m_length(length) , m_Complete(m_length, false)
{
memcpy(m_string, str, length);
m_string[length] = 0;
}
StringEnumerator(const char* str, int length): m_string(new char[length + 1]), m_length(length) , m_Complete(m_length, false)
{
memcpy(m_string, str, length);
m_string[length] = 0;
}
~StringEnumerator()
{
delete []m_string;
}
void Enumerate();
};
const int MAX_STR_LEN = 1024;
const int BEGIN_CHAR = 0;
struct StackElem
{
char Elem;
int Level;
StackElem(): Level(0), Elem(0){}
StackElem(char elem, int level): Elem(elem), Level(level){}
};
struct CharNode
{
int Max;
int Curr;
int Itr;
CharNode(int max = 0): Max(max), Curr(0), Itr(0){}
bool IsAvailable(){return (Max > Curr);}
void Increase()
{
if(Curr < Max)
Curr++;
}
void Decrease()
{
if(Curr > 0)
Curr--;
}
void PrepareItr()
{
Itr = Curr;
}
};
void StringEnumerator::Enumerate()
{
stack<StackElem> CStack;
int count = 0;
CStack.push(StackElem(BEGIN_CHAR,-1));
char answerStr[MAX_STR_LEN];
memset(answerStr, 0, MAX_STR_LEN);
bool forwardPath = true;
typedef std::map<char, CharNode> CharMap;
typedef CharMap::iterator CharItr;
typedef std::pair<char, CharNode> CharPair;
CharMap mCharMap;
CharItr itr;
//Prepare Char Map
for(int i = 0; i < m_length; i++)
{
itr = mCharMap.find(m_string[i]);
if(itr != mCharMap.end())
{
itr->second.Max++;
}
else
{
mCharMap.insert(CharPair(m_string[i], CharNode(1)));
}
}
while(CStack.size() > 0)
{
StackElem elem = CStack.top();
CStack.pop();
if(elem.Level != -1) // No root node
{
int currl = m_length - 1;
if(!forwardPath)
{
while(currl >= elem.Level)
{
itr = mCharMap.find(answerStr[currl]);
if((itr != mCharMap.end()))
{
itr->second.Decrease();
}
currl--;
}
forwardPath = true;
}
answerStr[elem.Level] = elem.Elem;
itr = mCharMap.find(elem.Elem);
if((itr != mCharMap.end()))
{
itr->second.Increase();
}
}
//If leaf node
if(elem.Level == (m_length - 1))
{
count++;
cout<<count<<endl;
cout<<answerStr<<endl;
forwardPath = false;
continue;
}
itr = mCharMap.begin();
while(itr != mCharMap.end())
{
itr->second.PrepareItr();
itr++;
}
//Find neighbors of this elem
for(int i = 0; i < m_length; i++)
{
itr = mCharMap.find(m_string[i]);
if(/*(itr != mCharMap.end()) &&*/ (itr->second.Itr < itr->second.Max))
{
CStack.push(StackElem(m_string[i], elem.Level + 1));
itr->second.Itr++;
}
}
}
}
I wrote one without a function already implemented even any templates and containers. actually it was written in C first, but has been transform to C++.
easy to understand but poor efficiency, and its output is what you want, sorted.
#include <iostream>
#define N 4
using namespace std;
char ch[] = "abcd";
int func(int n) {
int i,j;
char temp;
if(n==0) {
for(j=N-1;j>=0;j--)
cout<<ch[j];
cout<<endl;
return 0;
}
for(i=0;i<n;i++){
temp = ch[i];
for(j=i+1;j<n;j++)
ch[j-1] = ch[j];
ch[n-1] = temp;
//shift
func(n-1);
for(j=n-1;j>i;j--)
ch[j] = ch[j-1];
ch[i] = temp;
//and shift back agian
}
return 1;
}
int main(void)
{
func(N);
return 0;
}
In case you have std::vector of strings then you can 'permute' the vector items as below.
C++14 Code
#include <iostream>
#include <algorithm>
#include <iostream>
#include <string>
#include <vector>
#include <boost/algorithm/string/join.hpp>
using namespace std;
int main() {
// your code goes here
std::vector<std::string> s;
s.push_back("abc");
s.push_back("def");
s.push_back("ghi");
std::sort(s.begin(), s.end());
do
{
std::cout << boost::algorithm::join(s,"_") << std::endl ;
} while(std::next_permutation(s.begin(), s.end()));
return 0;
}
Output:
abc_def_ghi
abc_ghi_def
def_abc_ghi
def_ghi_abc
ghi_abc_def
ghi_def_abc