csuoj 1392: Number Trick

http://acm.csu.edu.cn/OnlineJudge/problem.php?id=1392

1392: Number Trick

Time Limit: 1 Sec  Memory Limit: 128 MB
Submit: 200  Solved: 36
[Submit][Status][Web Board]

Description

Input

Output

Sample Input

2.6

Sample Output

135
270
135135
270270

HINT

分析：

给一个小数X，找个A使得：AX=（A循环左移一位）

首先，假设A为一个满足题目条件的数，有n个数位，且最高位数字为A 0 。

那么可列出方程：AX=（A-A 0* 10 n-1 ）*10+A 0————>> A 0 *（10 n -1）=A*（10-X）

也就是说，只要n和A 0 确定了，A也就可以唯一确定。

那么我们只要直接枚举：n=(1->8) A 0 =(1->9)

计算出A是不是满足这两个条件就可以得出正确答案了。

AC代码：

 #include <cstdio>
 typedef long long ll;
 using namespace std;
 
 int power[],a[],ans=;
 float x,tmpx;//不知道为什么用double会wa
 ll f1,f2;
 
 int digit(ll tmp)
 {
   int tot=;
   while(tmp) tot++,tmp/=;
   return tot;
 }
 
 int head(ll tmp)
 {
   for (; tmp>=; tmp/=);
   return tmp;
 }
 
 int main()
 {
   power[]=;
   for (int i=; i<=; i++) power[i]=power[i-]*;
   scanf("%f",&x);
   if (x>=)
   {
     printf("No solution\n");
     return ;
   }
   for (int i=; i<=; i++)//枚举总共几个数位
     for (int j=; j<=; j++)//枚举开头数字
     {
       tmpx=-*x;
       f1=(int)tmpx;
       f2=(ll)*(power[i]-)*j;
       if (f2%f1!=) continue;
       f2/=f1;
       if (digit(f2)==i && head(f2)==j) a[++ans]=f2;
     }
   if (ans==) printf("No solution\n");
     else for (int i=; i<=ans; i++) printf("%d\n",a[i]);
   return ;
 }

学长打表：

 //#include <cstdio>
 //#include <cstring>
 //
 //using namespace std ;
 //
 //typedef long long LL ;
 //
 //LL change( LL a ) {
 //    LL data[32] ;
 //    int cur = 0 ;
 //    while( a ) {
 //        data[cur++] = a % 10LL ;
 //        a /= 10LL ;
 //    }
 //    LL ans = 0 ;
 //    for( int i = cur - 2 ; i >= 0 ; i -- ) {
 //        ans = ans * 10 + data[i] ;
 //    }
 //    ans = ans * 10 + data[cur-1] ;
 //    return ans ;
 //}
 //
 //int main() {
 //
 //    freopen("out.txt","w",stdout);
 //    int cnt = 0 ;
 //    printf("void init() {\n") ;
 //    for( LL a = 1LL ; a <= 100000000LL ; a ++ ) {
 //        LL b = change( a ) ;
 //        if( 10000LL * b % a == 0 ) {
 //            LL t = 10000LL * b / a ;
 //            //ans[t].push_back(a) ;
 //            printf("ans[%lld].push_back(%lld);" , t , a ) ;
 //            if( ++cnt == 100 ) {
 //                printf("\n") ;
 //                cnt = 0 ;
 //            }
 //        }
 //    }
 //    printf("\n}\n") ;
 //
 //    return 0 ;
 //}
 
 #include <vector>
 #include <cstdio>
 #include <cstring>
 
 using namespace std ;
 
 typedef long long LL ;
 
 vector<int> ans[+] ;
 void init() {
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 }
 
 int main() {
 
     init() ;
     double n ;
     while( scanf("%lf" , &n ) ==  ) {
         int a = (int)( n *  + 0.5 ) ;
         if( ans[a].size() ==  ) printf("No solution\n") ;
         else {
             for( int i =  ; i < ans[a].size() ; i ++ ) {
                 printf("%d\n" , ans[a][i] ) ;
             }
         }
     }
 
     return  ;
 }