#include <iostream>
using namespace std;
// C++ program to Find the kth Permutation
// Sequence of first n natural numbers
// Function to find the index of number
// at first position of
// kth sequence of set of size n
int findFirstNumIndex(int& k, int n)
{
if (n == 1)
return 0;
n--;
int first_num_index;
// n_actual_fact = n!
int n_partial_fact = n;
while (k >= n_partial_fact
&& n > 1) {
n_partial_fact
= n_partial_fact
* (n - 1);
n--;
}
// First position of the
// kth sequence will be
// occupied by the number present
// at index = k / (n-1)!
first_num_index = k / n_partial_fact;
k = k % n_partial_fact;
return first_num_index;
}
// Function to find the
// kth permutation of n numbers
string findKthPermutation(int n, int k)
{
// Store final answer
string ans = "";
set<int> s;
// Insert all natural number
// upto n in set
for (int i = 1; i <= n; i++)
s.insert(i);
set<int>::iterator itr;
// Mark the first position
itr = s.begin();
// subtract 1 to get 0 based indexing
k = k - 1;
for (int i = 0; i < n; i++) {
int index
= findFirstNumIndex(k, n - i);
advance(itr, index);
// itr now points to the
// number at index in set s
ans += (to_string(*itr));
// remove current number from the set
s.erase(itr);
itr = s.begin();
}
return ans;
}
// Driver code
int main()
{
int n = 3, k = 4;
string kth_perm_seq
= findKthPermutation(n, k);
cout << kth_perm_seq << endl;
return 0;
}
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C++ is a widely used middle-level programming language.
When ever you want to perform a set of operations based on a condition If-Else is used.
if(conditional-expression) {
//code
}
else {
//code
}
You can also use if-else for nested Ifs and If-Else-If ladder when multiple conditions are to be performed on a single variable.
Switch is an alternative to If-Else-If ladder.
switch(conditional-expression){
case value1:
// code
break; // optional
case value2:
// code
break; // optional
......
default:
code to be executed when all the above cases are not matched;
}
For loop is used to iterate a set of statements based on a condition.
for(Initialization; Condition; Increment/decrement){
//code
}
While is also used to iterate a set of statements based on a condition. Usually while is preferred when number of iterations are not known in advance.
while (condition) {
// code
}
Do-while is also used to iterate a set of statements based on a condition. It is mostly used when you need to execute the statements atleast once.
do {
// code
} while (condition);
Function is a sub-routine which contains set of statements. Usually functions are written when multiple calls are required to same set of statements which increases re-usuability and modularity. Function gets run only when it is called.
return_type function_name(parameters);
function_name (parameters)
return_type function_name(parameters) {
// code
}