C++ Program to Check whether all the rotations of a given number is greater than or equal to the given number or not
Given an integer x, the task is to find if every k-cycle shift on the element produces a number greater than or equal to the same element.
A k-cyclic shift of an integer x is a function that removes the last k digits of x and inserts them in its beginning.
For example, the k-cyclic shifts of 123 are 312 for k=1 and 231 for k=2. Print Yes if the given condition is satisfied else print No.
Examples:
Input: x = 123
Output : Yes
The k-cyclic shifts of 123 are 312 for k=1 and 231 for k=2.
Both 312 and 231 are greater than 123.
Input: 2214
Output: No
The k-cyclic shift of 2214 when k=2 is 1422 which is smaller than 2214
Approach: Simply find all the possible k cyclic shifts of the number and check if all are greater than the given number or not.
Below is the implementation of the above approach:
C++
// CPP implementation of the approach#include<bits/stdc++.h>using namespace std; void CheckKCycles(int n, string s) { bool ff = true; int x = 0; for (int i = 1; i < n; i++) { // Splitting the number at index i // and adding to the front x = (s.substr(i) + s.substr(0, i)).length(); // Checking if the value is greater than // or equal to the given value if (x >= s.length()) { continue; } ff = false; break; } if (ff) { cout << ("Yes"); } else { cout << ("No"); }} // Driver codeint main() { int n = 3; string s = "123"; CheckKCycles(n, s); return 0;} /* This code contributed by Rajput-Ji */ |
Yes
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