湖南科技大学 DFS复制打表AC->我的第一次

时间：2022-03-31 19:34:48

问题 E: Help Dexter

时间限制: 1 Sec   内存限制: 128 MB
提交: 24   解决: 7
[ 提交][ 状态][ 讨论版]

题目描述

You know Dexter, right? He is a very talented young scientist. He has a huge lab hidden inside his building. He made all possible security arrangement to keep his naughty sister Dee Dee away from his lab. But she always finds a way into the lab. One day Dee Dee came to the lab and started her usual work, messing up Dexter's lab! Dexter was working on a very important project, so he begged to her and said, "Please!!! Not today. I will do anything for you, but please leave this lab today!!!" Dee Dee was waiting for this chance, she said, "Ok, you do my homework I won't disturb you today." What can Dexter do? He agreed. Dee Dee said, "My teacher told me to write down 17 numbers. First one single digit number, second one two digit number, ..., nth one n digit number. They will consist of only digit 1 and 2 and the nth number should be divisible by 2n." Dexter thought, "I have very little time to finish the project. I can't waste my time for this silly problem, I have bigger problem to think!" So, he sent the modified version of this problem to you. Hurry up, Dee Dee is waiting.

输入

Input starts with an integer T (≤ 300), denoting the number of test cases.
Each case starts with two integers: p q (1 ≤ p, q ≤ 17).

输出

For each case, print the case number first. Then you have to find two integers (smallest and largest) which have p digits and is divisible by 2q. The integers should contain only 1's and 2's. If no result is found, print " impossible". If there is only one integer, then print that integer. Otherwise print both integers (first the smallest one then the largest one) separated by a single space.

样例输入

3
2 2
2 1
2 3

样例输出

Case 1: 12
Case 2: 12 22
Case 3: impossible

提示

输入2个p q  第一个是数的长度p  数只有1和2 组成    求最小和最大的能被2的q次方整除的数

如果只有1个 就输出一个  都没有 输入impossible

我一开始程序是写出来了 但是超时    所以就想到了别人屡试不爽的打表

下面为打表代码

#include<stdio.h>
int div[25],q,flag;
char a[50];
__int64 min,max;
void DFS_MIN(int d)
{
    int i;
     __int64 sum;
    if(flag) return ;
    sscanf(a+1,"%I64d",&sum);
    if(sum%div[q]==0) {flag=1;min=sum;return;}
    for(i=d;i>=1;i--)
    {
        if(a[i]!='2')
        {
            a[i]='2';
            DFS_MIN(i);
            a[i]='1';
        }
    }
     
}
void DFS_MAX(int d)
{
    int i;
    __int64 sum;
    if(flag) return ;
    sscanf(a+1,"%I64d",&sum);
 //sscanf(a+1,"%lld",&sum);
 if(sum<min) return ;
    if(sum%div[q]==0) {flag=1;max=sum;return;}
    for(i=d;i>=1;i--)
    {
        if(a[i]!='1')
        {
            a[i]='1';
            DFS_MAX(i);
            a[i]='2';
        }
    }
}
int main()
{
    int cas,i,k,d;
    scanf("%d\n",&cas);
    div[1]=2;
    for(i=2;i<=25;i++)
        div[i]=div[i-1]*2;
    for(k=1;k<=cas;k++)
    {
        min=max=999999999;
        scanf("%d %d",&d,&q);
        for(i=1;i<=d;i++)
            a[i]='1';
  a[i]='\0';
        flag=0;
        DFS_MIN(d);
        for(i=1;i<=d;i++)
            a[i]='2';
  a[i]='\0';
        flag=0;
        DFS_MAX(d);
        if(min==999999999&&max==999999999) {printf("Case %d: impossible\n",k);continue;}
  else
  {
   if(min==999999999) printf("Case %d: %I64d\n",k,max);
   else if(max==999999999) printf("Case %d: %I64d\n",k,min);
   else
            if(min==max) {printf("Case %d: %I64d\n",k,min);}//
   else
            printf("Case %d: %I64d %I64d\n",k,min,max);//
  }
       
    }
    return 0;
}

 打表过程我是直接在黑框里面复制的  但是要是想要写进文件里面 可以加上这句话

 freopen("d:\\4.in","w",stdout);  写进d盘的的4.in文件里边   只要 这一句话就行拉

#include<stdio.h>
int div[25],q,flag;
char a[50];
//__int64 ans[18][18][2];
long long ans[18][18][2];
// __int64 min,max;
   long long  min,max;
void init()
{
ans[1][1][0]=2;ans[1][1][1]=2;
ans[1][2][0]=999999999;ans[1][2][1]=999999999;
ans[1][3][0]=999999999;ans[1][3][1]=999999999;
ans[1][4][0]=999999999;ans[1][4][1]=999999999;
ans[1][5][0]=999999999;ans[1][5][1]=999999999;
ans[1][6][0]=999999999;ans[1][6][1]=999999999;
ans[1][7][0]=999999999;ans[1][7][1]=999999999;
ans[1][8][0]=999999999;ans[1][8][1]=999999999;
ans[1][9][0]=999999999;ans[1][9][1]=999999999;
ans[1][10][0]=999999999;ans[1][10][1]=999999999;
ans[1][11][0]=999999999;ans[1][11][1]=999999999;
ans[1][12][0]=999999999;ans[1][12][1]=999999999;
ans[1][13][0]=999999999;ans[1][13][1]=999999999;
ans[1][14][0]=999999999;ans[1][14][1]=999999999;
ans[1][15][0]=999999999;ans[1][15][1]=999999999;
ans[1][16][0]=999999999;ans[1][16][1]=999999999;
ans[1][17][0]=999999999;ans[1][17][1]=999999999;
ans[2][1][0]=12;ans[2][1][1]=22;
ans[2][2][0]=12;ans[2][2][1]=12;
ans[2][3][0]=999999999;ans[2][3][1]=999999999;
ans[2][4][0]=999999999;ans[2][4][1]=999999999;
ans[2][5][0]=999999999;ans[2][5][1]=999999999;
ans[2][6][0]=999999999;ans[2][6][1]=999999999;
ans[2][7][0]=999999999;ans[2][7][1]=999999999;
ans[2][8][0]=999999999;ans[2][8][1]=999999999;
ans[2][9][0]=999999999;ans[2][9][1]=999999999;
ans[2][10][0]=999999999;ans[2][10][1]=999999999;
ans[2][11][0]=999999999;ans[2][11][1]=999999999;
ans[2][12][0]=999999999;ans[2][12][1]=999999999;
ans[2][13][0]=999999999;ans[2][13][1]=999999999;
ans[2][14][0]=999999999;ans[2][14][1]=999999999;
ans[2][15][0]=999999999;ans[2][15][1]=999999999;
ans[2][16][0]=999999999;ans[2][16][1]=999999999;
ans[2][17][0]=999999999;ans[2][17][1]=999999999;
ans[3][1][0]=112;ans[3][1][1]=222;
ans[3][2][0]=112;ans[3][2][1]=212;
ans[3][3][0]=112;ans[3][3][1]=112;
ans[3][4][0]=112;ans[3][4][1]=112;
ans[3][5][0]=999999999;ans[3][5][1]=999999999;
ans[3][6][0]=999999999;ans[3][6][1]=999999999;
ans[3][7][0]=999999999;ans[3][7][1]=999999999;
ans[3][8][0]=999999999;ans[3][8][1]=999999999;
ans[3][9][0]=999999999;ans[3][9][1]=999999999;
ans[3][10][0]=999999999;ans[3][10][1]=999999999;
ans[3][11][0]=999999999;ans[3][11][1]=999999999;
ans[3][12][0]=999999999;ans[3][12][1]=999999999;
ans[3][13][0]=999999999;ans[3][13][1]=999999999;
ans[3][14][0]=999999999;ans[3][14][1]=999999999;
ans[3][15][0]=999999999;ans[3][15][1]=999999999;
ans[3][16][0]=999999999;ans[3][16][1]=999999999;
ans[3][17][0]=999999999;ans[3][17][1]=999999999;
ans[4][1][0]=1112;ans[4][1][1]=2222;
ans[4][2][0]=1112;ans[4][2][1]=2212;
ans[4][3][0]=1112;ans[4][3][1]=2112;
ans[4][4][0]=2112;ans[4][4][1]=2112;
ans[4][5][0]=2112;ans[4][5][1]=2112;
ans[4][6][0]=2112;ans[4][6][1]=2112;
ans[4][7][0]=999999999;ans[4][7][1]=999999999;
ans[4][8][0]=999999999;ans[4][8][1]=999999999;
ans[4][9][0]=999999999;ans[4][9][1]=999999999;
ans[4][10][0]=999999999;ans[4][10][1]=999999999;
ans[4][11][0]=999999999;ans[4][11][1]=999999999;
ans[4][12][0]=999999999;ans[4][12][1]=999999999;
ans[4][13][0]=999999999;ans[4][13][1]=999999999;
ans[4][14][0]=999999999;ans[4][14][1]=999999999;
ans[4][15][0]=999999999;ans[4][15][1]=999999999;
ans[4][16][0]=999999999;ans[4][16][1]=999999999;
ans[4][17][0]=999999999;ans[4][17][1]=999999999;
ans[5][1][0]=11112;ans[5][1][1]=22222;
ans[5][2][0]=11112;ans[5][2][1]=22212;
ans[5][3][0]=11112;ans[5][3][1]=22112;
ans[5][4][0]=12112;ans[5][4][1]=22112;
ans[5][5][0]=22112;ans[5][5][1]=22112;
ans[5][6][0]=999999999;ans[5][6][1]=999999999;
ans[5][7][0]=999999999;ans[5][7][1]=999999999;
ans[5][8][0]=999999999;ans[5][8][1]=999999999;
ans[5][9][0]=999999999;ans[5][9][1]=999999999;
ans[5][10][0]=999999999;ans[5][10][1]=999999999;
ans[5][11][0]=999999999;ans[5][11][1]=999999999;
ans[5][12][0]=999999999;ans[5][12][1]=999999999;
ans[5][13][0]=999999999;ans[5][13][1]=999999999;
ans[5][14][0]=999999999;ans[5][14][1]=999999999;
ans[5][15][0]=999999999;ans[5][15][1]=999999999;
ans[5][16][0]=999999999;ans[5][16][1]=999999999;
ans[5][17][0]=999999999;ans[5][17][1]=999999999;
ans[6][1][0]=111112;ans[6][1][1]=222222;
ans[6][2][0]=111112;ans[6][2][1]=222212;
ans[6][3][0]=111112;ans[6][3][1]=222112;
ans[6][4][0]=112112;ans[6][4][1]=222112;
ans[6][5][0]=122112;ans[6][5][1]=222112;
ans[6][6][0]=122112;ans[6][6][1]=122112;
ans[6][7][0]=122112;ans[6][7][1]=122112;
ans[6][8][0]=122112;ans[6][8][1]=122112;
ans[6][9][0]=999999999;ans[6][9][1]=999999999;
ans[6][10][0]=999999999;ans[6][10][1]=999999999;
ans[6][11][0]=999999999;ans[6][11][1]=999999999;
ans[6][12][0]=999999999;ans[6][12][1]=999999999;
ans[6][13][0]=999999999;ans[6][13][1]=999999999;
ans[6][14][0]=999999999;ans[6][14][1]=999999999;
ans[6][15][0]=999999999;ans[6][15][1]=999999999;
ans[6][16][0]=999999999;ans[6][16][1]=999999999;
ans[6][17][0]=999999999;ans[6][17][1]=999999999;
ans[7][1][0]=1111112;ans[7][1][1]=2222222;
ans[7][2][0]=1111112;ans[7][2][1]=2222212;
ans[7][3][0]=1111112;ans[7][3][1]=2222112;
ans[7][4][0]=1112112;ans[7][4][1]=2222112;
ans[7][5][0]=1122112;ans[7][5][1]=2222112;
ans[7][6][0]=1122112;ans[7][6][1]=2122112;
ans[7][7][0]=2122112;ans[7][7][1]=2122112;
ans[7][8][0]=999999999;ans[7][8][1]=999999999;
ans[7][9][0]=999999999;ans[7][9][1]=999999999;
ans[7][10][0]=999999999;ans[7][10][1]=999999999;
ans[7][11][0]=999999999;ans[7][11][1]=999999999;
ans[7][12][0]=999999999;ans[7][12][1]=999999999;
ans[7][13][0]=999999999;ans[7][13][1]=999999999;
ans[7][14][0]=999999999;ans[7][14][1]=999999999;
ans[7][15][0]=999999999;ans[7][15][1]=999999999;
ans[7][16][0]=999999999;ans[7][16][1]=999999999;
ans[7][17][0]=999999999;ans[7][17][1]=999999999;
ans[8][1][0]=11111112;ans[8][1][1]=22222222;
ans[8][2][0]=11111112;ans[8][2][1]=22222212;
ans[8][3][0]=11111112;ans[8][3][1]=22222112;
ans[8][4][0]=11112112;ans[8][4][1]=22222112;
ans[8][5][0]=11122112;ans[8][5][1]=22222112;
ans[8][6][0]=11122112;ans[8][6][1]=22122112;
ans[8][7][0]=12122112;ans[8][7][1]=22122112;
ans[8][8][0]=12122112;ans[8][8][1]=12122112;
ans[8][9][0]=12122112;ans[8][9][1]=12122112;
ans[8][10][0]=12122112;ans[8][10][1]=12122112;
ans[8][11][0]=12122112;ans[8][11][1]=12122112;
ans[8][12][0]=999999999;ans[8][12][1]=999999999;
ans[8][13][0]=999999999;ans[8][13][1]=999999999;
ans[8][14][0]=999999999;ans[8][14][1]=999999999;
ans[8][15][0]=999999999;ans[8][15][1]=999999999;
ans[8][16][0]=999999999;ans[8][16][1]=999999999;
ans[8][17][0]=999999999;ans[8][17][1]=999999999;
ans[9][1][0]=111111112;ans[9][1][1]=222222222;
ans[9][2][0]=111111112;ans[9][2][1]=222222212;
ans[9][3][0]=111111112;ans[9][3][1]=222222112;
ans[9][4][0]=111112112;ans[9][4][1]=222222112;
ans[9][5][0]=111122112;ans[9][5][1]=222222112;
ans[9][6][0]=111122112;ans[9][6][1]=222122112;
ans[9][7][0]=112122112;ans[9][7][1]=222122112;
ans[9][8][0]=112122112;ans[9][8][1]=212122112;
ans[9][9][0]=212122112;ans[9][9][1]=212122112;
ans[9][10][0]=999999999;ans[9][10][1]=999999999;
ans[9][11][0]=999999999;ans[9][11][1]=999999999;
ans[9][12][0]=999999999;ans[9][12][1]=999999999;
ans[9][13][0]=999999999;ans[9][13][1]=999999999;
ans[9][14][0]=999999999;ans[9][14][1]=999999999;
ans[9][15][0]=999999999;ans[9][15][1]=999999999;
ans[9][16][0]=999999999;ans[9][16][1]=999999999;
ans[9][17][0]=999999999;ans[9][17][1]=999999999;
ans[10][1][0]=1111111112;ans[10][1][1]=2222222222;
ans[10][2][0]=1111111112;ans[10][2][1]=2222222212;
ans[10][3][0]=1111111112;ans[10][3][1]=2222222112;
ans[10][4][0]=1111112112;ans[10][4][1]=2222222112;
ans[10][5][0]=1111122112;ans[10][5][1]=2222222112;
ans[10][6][0]=1111122112;ans[10][6][1]=2222122112;
ans[10][7][0]=1112122112;ans[10][7][1]=2222122112;
ans[10][8][0]=1112122112;ans[10][8][1]=2212122112;
ans[10][9][0]=1212122112;ans[10][9][1]=2212122112;
ans[10][10][0]=1212122112;ans[10][10][1]=1212122112;
ans[10][11][0]=999999999;ans[10][11][1]=999999999;
ans[10][12][0]=999999999;ans[10][12][1]=999999999;
ans[10][13][0]=999999999;ans[10][13][1]=999999999;
ans[10][14][0]=999999999;ans[10][14][1]=999999999;
ans[10][15][0]=999999999;ans[10][15][1]=999999999;
ans[10][16][0]=999999999;ans[10][16][1]=999999999;
ans[10][17][0]=999999999;ans[10][17][1]=999999999;
ans[11][1][0]=11111111112;ans[11][1][1]=22222222222;
ans[11][2][0]=11111111112;ans[11][2][1]=22222222212;
ans[11][3][0]=11111111112;ans[11][3][1]=22222222112;
ans[11][4][0]=11111112112;ans[11][4][1]=22222222112;
ans[11][5][0]=11111122112;ans[11][5][1]=22222222112;
ans[11][6][0]=11111122112;ans[11][6][1]=22222122112;
ans[11][7][0]=11112122112;ans[11][7][1]=22222122112;
ans[11][8][0]=11112122112;ans[11][8][1]=22212122112;
ans[11][9][0]=11212122112;ans[11][9][1]=22212122112;
ans[11][10][0]=11212122112;ans[11][10][1]=21212122112;
ans[11][11][0]=11212122112;ans[11][11][1]=11212122112;
ans[11][12][0]=999999999;ans[11][12][1]=999999999;
ans[11][13][0]=999999999;ans[11][13][1]=999999999;
ans[11][14][0]=999999999;ans[11][14][1]=999999999;
ans[11][15][0]=999999999;ans[11][15][1]=999999999;
ans[11][16][0]=999999999;ans[11][16][1]=999999999;
ans[11][17][0]=999999999;ans[11][17][1]=999999999;
ans[12][1][0]=111111111112;ans[12][1][1]=222222222222;
ans[12][2][0]=111111111112;ans[12][2][1]=222222222212;
ans[12][3][0]=111111111112;ans[12][3][1]=222222222112;
ans[12][4][0]=111111112112;ans[12][4][1]=222222222112;
ans[12][5][0]=111111122112;ans[12][5][1]=222222222112;
ans[12][6][0]=111111122112;ans[12][6][1]=222222122112;
ans[12][7][0]=111112122112;ans[12][7][1]=222222122112;
ans[12][8][0]=111112122112;ans[12][8][1]=222212122112;
ans[12][9][0]=111212122112;ans[12][9][1]=222212122112;
ans[12][10][0]=111212122112;ans[12][10][1]=221212122112;
ans[12][11][0]=111212122112;ans[12][11][1]=211212122112;
ans[12][12][0]=111212122112;ans[12][12][1]=111212122112;
ans[12][13][0]=999999999;ans[12][13][1]=999999999;
ans[12][14][0]=999999999;ans[12][14][1]=999999999;
ans[12][15][0]=999999999;ans[12][15][1]=999999999;
ans[12][16][0]=999999999;ans[12][16][1]=999999999;
ans[12][17][0]=999999999;ans[12][17][1]=999999999;
ans[13][1][0]=1111111111112;ans[13][1][1]=2222222222222;
ans[13][2][0]=1111111111112;ans[13][2][1]=2222222222212;
ans[13][3][0]=1111111111112;ans[13][3][1]=2222222222112;
ans[13][4][0]=1111111112112;ans[13][4][1]=2222222222112;
ans[13][5][0]=1111111122112;ans[13][5][1]=2222222222112;
ans[13][6][0]=1111111122112;ans[13][6][1]=2222222122112;
ans[13][7][0]=1111112122112;ans[13][7][1]=2222222122112;
ans[13][8][0]=1111112122112;ans[13][8][1]=2222212122112;
ans[13][9][0]=1111212122112;ans[13][9][1]=2222212122112;
ans[13][10][0]=1111212122112;ans[13][10][1]=2221212122112;
ans[13][11][0]=1111212122112;ans[13][11][1]=2211212122112;
ans[13][12][0]=1111212122112;ans[13][12][1]=2111212122112;
ans[13][13][0]=1111212122112;ans[13][13][1]=1111212122112;
ans[13][14][0]=999999999;ans[13][14][1]=999999999;
ans[13][15][0]=999999999;ans[13][15][1]=999999999;
ans[13][16][0]=999999999;ans[13][16][1]=999999999;
ans[13][17][0]=999999999;ans[13][17][1]=999999999;
ans[14][1][0]=11111111111112;ans[14][1][1]=22222222222222;
ans[14][2][0]=11111111111112;ans[14][2][1]=22222222222212;
ans[14][3][0]=11111111111112;ans[14][3][1]=22222222222112;
ans[14][4][0]=11111111112112;ans[14][4][1]=22222222222112;
ans[14][5][0]=11111111122112;ans[14][5][1]=22222222222112;
ans[14][6][0]=11111111122112;ans[14][6][1]=22222222122112;
ans[14][7][0]=11111112122112;ans[14][7][1]=22222222122112;
ans[14][8][0]=11111112122112;ans[14][8][1]=22222212122112;
ans[14][9][0]=11111212122112;ans[14][9][1]=22222212122112;
ans[14][10][0]=11111212122112;ans[14][10][1]=22221212122112;
ans[14][11][0]=11111212122112;ans[14][11][1]=22211212122112;
ans[14][12][0]=11111212122112;ans[14][12][1]=22111212122112;
ans[14][13][0]=11111212122112;ans[14][13][1]=21111212122112;
ans[14][14][0]=11111212122112;ans[14][14][1]=11111212122112;
ans[14][15][0]=11111212122112;ans[14][15][1]=11111212122112;
ans[14][16][0]=11111212122112;ans[14][16][1]=11111212122112;
ans[14][17][0]=11111212122112;ans[14][17][1]=11111212122112;
ans[15][1][0]=111111111111112;ans[15][1][1]=222222222222222;
ans[15][2][0]=111111111111112;ans[15][2][1]=222222222222212;
ans[15][3][0]=111111111111112;ans[15][3][1]=222222222222112;
ans[15][4][0]=111111111112112;ans[15][4][1]=222222222222112;
ans[15][5][0]=111111111122112;ans[15][5][1]=222222222222112;
ans[15][6][0]=111111111122112;ans[15][6][1]=222222222122112;
ans[15][7][0]=111111112122112;ans[15][7][1]=222222222122112;
ans[15][8][0]=111111112122112;ans[15][8][1]=222222212122112;
ans[15][9][0]=111111212122112;ans[15][9][1]=222222212122112;
ans[15][10][0]=111111212122112;ans[15][10][1]=222221212122112;
ans[15][11][0]=111111212122112;ans[15][11][1]=222211212122112;
ans[15][12][0]=111111212122112;ans[15][12][1]=222111212122112;
ans[15][13][0]=111111212122112;ans[15][13][1]=221111212122112;
ans[15][14][0]=111111212122112;ans[15][14][1]=211111212122112;
ans[15][15][0]=211111212122112;ans[15][15][1]=211111212122112;
ans[15][16][0]=999999999;ans[15][16][1]=999999999;
ans[15][17][0]=999999999;ans[15][17][1]=999999999;
ans[16][1][0]=1111111111111112;ans[16][1][1]=2222222222222222;
ans[16][2][0]=1111111111111112;ans[16][2][1]=2222222222222212;
ans[16][3][0]=1111111111111112;ans[16][3][1]=2222222222222112;
ans[16][4][0]=1111111111112112;ans[16][4][1]=2222222222222112;
ans[16][5][0]=1111111111122112;ans[16][5][1]=2222222222222112;
ans[16][6][0]=1111111111122112;ans[16][6][1]=2222222222122112;
ans[16][7][0]=1111111112122112;ans[16][7][1]=2222222222122112;
ans[16][8][0]=1111111112122112;ans[16][8][1]=2222222212122112;
ans[16][9][0]=1111111212122112;ans[16][9][1]=2222222212122112;
ans[16][10][0]=1111111212122112;ans[16][10][1]=2222221212122112;
ans[16][11][0]=1111111212122112;ans[16][11][1]=2222211212122112;
ans[16][12][0]=1111111212122112;ans[16][12][1]=2222111212122112;
ans[16][13][0]=1111111212122112;ans[16][13][1]=2221111212122112;
ans[16][14][0]=1111111212122112;ans[16][14][1]=2211111212122112;
ans[16][15][0]=1211111212122112;ans[16][15][1]=2211111212122112;
ans[16][16][0]=1211111212122112;ans[16][16][1]=1211111212122112;
ans[16][17][0]=999999999;ans[16][17][1]=999999999;
ans[17][1][0]=11111111111111112;ans[17][1][1]=22222222222222222;
ans[17][2][0]=11111111111111112;ans[17][2][1]=22222222222222212;
ans[17][3][0]=11111111111111112;ans[17][3][1]=22222222222222112;
ans[17][4][0]=11111111111112112;ans[17][4][1]=22222222222222112;
ans[17][5][0]=11111111111122112;ans[17][5][1]=22222222222222112;
ans[17][6][0]=11111111111122112;ans[17][6][1]=22222222222122112;
ans[17][7][0]=11111111112122112;ans[17][7][1]=22222222222122112;
ans[17][8][0]=11111111112122112;ans[17][8][1]=22222222212122112;
ans[17][9][0]=11111111212122112;ans[17][9][1]=22222222212122112;
ans[17][10][0]=11111111212122112;ans[17][10][1]=22222221212122112;
ans[17][11][0]=11111111212122112;ans[17][11][1]=22222211212122112;
ans[17][12][0]=11111111212122112;ans[17][12][1]=22222111212122112;
ans[17][13][0]=11111111212122112;ans[17][13][1]=22221111212122112;
ans[17][14][0]=11111111212122112;ans[17][14][1]=22211111212122112;
ans[17][15][0]=11211111212122112;ans[17][15][1]=22211111212122112;
ans[17][16][0]=11211111212122112;ans[17][16][1]=21211111212122112;
ans[17][17][0]=11211111212122112;ans[17][17][1]=11211111212122112;

}
int main()
{
    int cas,i,k,d;
 init();
    scanf("%d\n",&cas);
    div[1]=2;
    for(i=2;i<=25;i++)
        div[i]=div[i-1]*2;
    for(k=1;k<=cas;k++)
    {
       // min=max=999999999;
        scanf("%d %d",&d,&q);
  min=ans[d][q][0];
  max=ans[d][q][1];
        if(min==999999999&&max==999999999) {printf("Case %d: impossible\n",k);continue;}
  else
  {
  /* if(min==999999999) printf("Case %d: %I64d\n",k,max);
   else if(max==999999999) printf("Case %d: %I64d\n",k,min);
   else
            if(min==max) {printf("Case %d: %I64d\n",k,min);}//
   else
            printf("Case %d: %I64d %I64d\n",k,min,max);// */
      if(min==999999999) printf("Case %d: %lld\n",k,max);
   else if(max==999999999) printf("Case %d: %lld\n",k,min);
   else
            if(min==max) {printf("Case %d: %lld\n",k,min);}//
   else
            printf("Case %d: %lld %lld\n",k,min,max);
  }
       
    }
    return 0;
}


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