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Lexicographical Numbers in C++
Suppose we have an integer n. We have to return 1 to n in lexicographic order. So for example when 13 is given, then the output will be [1, 10, 11, 12, 13, 2, 3, 4, 5, 6, 7, 8, 9].
To solve this, we will follow these steps −
define one array ret of size n
curr := 1
for i in range 0 to n – 1
ret[i] := curr
if curr * 10 <= n, then set curr := curr * 10
otherwise
if curr >= n, then curr := curr / 10
increase curr by 1
while curr is divisible by 10, then curr := curr / 10
return ret
Example(C++)
Let us see the following implementation to get better understanding −
#include <bits/stdc++.h>
using namespace std;
void print_vector(vector<auto> v){
cout << "[";
for(int i = 0; i<v.size(); i++){
cout << v[i] << ", ";
}
cout << "]"<<endl;
}
class Solution {
public:
vector<int> lexicalOrder(int n) {
vector <int> ret(n);
int curr = 1;
for(int i = 0; i < n; i++){
ret[i] = curr;
if(curr * 10 <= n){
curr*= 10;
} else {
if(curr>= n)curr /= 10;
curr += 1;
while(curr % 10 == 0)curr/=10;
}
}
return ret;
}
};
main(){
Solution ob;
print_vector(ob.lexicalOrder(20));
}Input
20
Output
[1, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 2, 20, 3, 4, 5, 6, 7, 8, 9, ]
Updated on: 02-May-2020
2K+ Views
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