【PAT - 甲级1024】Palindromic Number (25分)（大数，模拟）

题干：

A number that will be the same when it is written forwards or backwards is known as a Palindromic Number. For example, 1234321 is a palindromic number. All single digit numbers are 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 is added to the original number. If the result is not a palindromic number, this is repeated until it gives a palindromic number. For example, if we start from 67, we can obtain a palindromic number in 2 steps: 67 + 76 = 143, and 143 + 341 = 484.

Given any positive integer N, you are supposed to find its paired palindromic number and the number of steps taken to find it.

Input Specification:

Each input file contains one test case. Each case consists of two positive numbers N and K, where N (≤1010) is the initial numer and K (≤100) is the maximum number of steps. The numbers are separated by a space.

Output Specification:

For each test case, output two numbers, one in each line. The first number is the paired palindromic number of N, and the second number is the number of steps taken to find the palindromic number. If the palindromic number is not found after K steps, just output the number obtained at the Kth step and K instead.

Sample Input 1:

67 3

Sample Output 1:

484
2

Sample Input 2:

69 3

Sample Output 2:

1353
3

题目大意：

解题报告：

没仔细看，以为最多就100*1e10这么大。仔细一看需要上大数。写了一个字符串版本的。

AC代码：

#include<cstdio>
#include<iostream>
#include<algorithm>
#include<queue>
#include<stack>
#include<map>
#include<vector>
#include<set>
#include<string>
#include<cmath>
#include<cstring>
#define FF first
#define SS second
#define ll long long
#define pb push_back
#define pm make_pair
using namespace std;
typedef pair<int,int> PII;
const int MAX = 2e5 + 5;
int k;
string n;
string add(string a,string b) {int p = a.length(),c=0;string res(p,'0');for(int i = p-1; i>=0; i--) {res[i] = c + (a[i]-'0') + (b[i]-'0') + '0';c = 0;if(res[i] > '9') c = 1,res[i] -= 10;}if(c > 0) res = "1" + res;return res;
}
bool is(string a) {int p = a.length();for(int i = 0; i<=p/2; i++) if(a[i] != a[p-i-1]) return 0;return 1;
}
int main()
{cin>>n>>k;if(is(n)) {cout << n << endl << 0 << endl;return 0 ;}for(int i = 1; i<=k; i++) {string n2 = n;reverse(n2.begin(),n2.end());n = add(n,n2); if(is(n)) {cout << n << endl << i << endl;return 0;}}cout << n << endl << k << endl;return 0 ;
}