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【PAT】1023. Have Fun with Numbers (20)

2013-08-21 16:52 477 查看
题目:http://pat.zju.edu.cn/contests/pat-a-practise/1023

分析:简单题。用俩个数组标记数字0~9出现的数次就可以了。

题目描述:

Notice that the number 123456789 is a 9-digit number consisting exactly the numbers from 1 to 9, with no duplication. Double it we will obtain 246913578, which happens to be another 9-digit number consisting exactly the numbers from 1 to 9, only in a different
permutation. Check to see the result if we double it again!

Now you are suppose to check if there are more numbers with this property. That is, double a given number with k digits, you are to tell if the resulting number consists of only a permutation of the digits in the original number.

Input Specification:

Each input file contains one test case. Each case contains one positive integer with no more than 20 digits.

Output Specification:

For each test case, first print in a line "Yes" if doubling the input number gives a number that consists of only a permutation of the digits in the original number, or "No" if not. Then in the next line, print the doubled number.

Sample Input:
1234567899

Sample Output:
Yes
2469135798


#include<iostream>
#include<string.h>
using namespace std;
#define max 22
char input[max];
int flag_1[11];
int flag_2[11];
int s[max];
bool isSame = true;

int main()
{
int len,i,j,temp;
int jinwei; //进位
//清零
memset(flag_1,0,sizeof(flag_1));
memset(flag_2,0,sizeof(flag_2));

cin>>input;
len = strlen(input);
for(j=0,i=len-1; i>=0; i--,j++)
{
s[j] = input[i] - '0';
flag_1[ s[j] ] ++;
}

jinwei = 0; //进位
//乘以2
for(i=0; i<len; i++)
{
temp = ( s[i]*2 + jinwei )/10;
s[i] = (s[i]*2 + jinwei)%10;
flag_2[ s[i] ] ++;
jinwei = temp;
}

for(j=1; j<=10; j++)
{
if(flag_2[j] != flag_1[j])
{
isSame = false;
break;
}
}
if(isSame) cout<<"Yes"<<endl;
else cout<<"No"<<endl;

//输出
if(jinwei > 0) { j=i; s[i] = jinwei;} //最高位有进位
else j = --i;

for(; j>=0; j--)
{
cout<<s[j];
}
cout<<endl;

return 0;
}
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