A number that would be the same when it was written forwards or backwards is known as a palindromic number. For example, 1234321 is a palindromic number. All digit numbers is palindromic numbers.
Non-palindromic numbers can be paired with palindromic ones via a series of operations. First, the non-palindromic number is reversed and the result was added to the original number. If The result is a palindromic number, this is repeated until it gives a palindromic number. For example, if the we start from the, we can obtain a palindromic number in 2 steps:67 + = 143, and 143 + 341 = 484.
Given any positive an integer N, you is supposed to find it paired palindromic number and the number of steps taken to find It.
Input Specification:
Each input file contains the one test case. Each case consists of a positive numbers n and K, where N (<= 1010) is the initial numer and K (<=) are the max Imum number of steps. The numbers is separated by a space.
Output Specification:
For each test case, output of the numbers, one in each line. The first number is the paired palindromic number of N, and the second number are the number of steps taken to find the PAL Indromic number. If the palindromic number is not found after K steps, just output of the number obtained at the Kth step and K instead.
Sample Input 1:
67 3
Sample Output 1:
4842
Sample Input 2:
69 3
Sample Output 2:
13533
#include <iostream> #include <vector> #include <string.h>using namespace Std;bool ispalindromic ( Vector<int> a) {int i, J; For (I=0, J=a.size ()-1; i<=j; i++, j--) {if (A[i]! = A[j]) return false; } return true; void print (vector<int> input) {int i; For (I=input.size ()-1; i>=0; i--) {cout<<input[i]; } Cout<<endl;} int main () {vector<int> input; Char s[11]; int k, I; cin>>s>>k; int len = strlen (s); for (i=0; i<len; i++) {input.push_back (s[i]-' 0 '); } if (ispalindromic (input)) {print (input); cout<< "0" <<endl; } else {int len_temp = Len; for (I=1; i<=k; i++) {int end = Len_temp-1; int start = 0; int j = 0; int t = 0;//carry indicator vector<int> vec_temp; for (; start<len_temp && end>=0; start++, End--, J + +) { Vec_temp.push_back (t + Input[start] + input[end]); if (Vec_temp[j] >=) {vec_temp[j]-= 10; t = 1; } else {t = 0; }} if (T > 0) {//High-vec_temp.push_back (1); } len_temp = Vec_temp.size (); Input.assign (Vec_temp.begin (), Vec_temp.end ()); if (ispalindromic (input)) break; } print (input); if (i>k) cout<<k<<endl; else cout<<i<<endl; } return 0;}
1024x768. Palindromic Number (25)