1562 Guess the number

Posted 2020-06-21 Wally的博客

Problem Description

Happy new year to everybody!
Now, I want you to guess a minimum number x betwwn 1000 and 9999 to let 
(1) x % a = 0;
(2) (x+1) % b = 0;
(3) (x+2) % c = 0;
and a, b, c are integers between 1 and 100.
Given a,b,c, tell me what is the number of x ?

 

 

Input

The number of test cases c is in the first line of input, then c test cases followed.every test contains three integers a, b, c.

 

 

Output

For each test case your program should output one line with the minimal number x, you should remember that x is between 1000 and 9999. If there is no answer for x, output "Impossible".

 

 

Sample Input

2

44 38 49

25 56 3

 

 

Sample Output

Impossible

 

2575

 

 1 #include <iostream>
 2 #include <stdio.h>
 3 #include <string.h>
 4 using namespace std;
 5 
 6 int main()
 7 {
 8      int a,b,c,n,k,j;
 9      while(cin>>n)
10      {
11          for(int i=1;i<=n;i++)
12          {
13              cin>>a>>b>>c;
14              k=0;
15              for(j=(1000/a)*a;j<10000;j=j+a)
16              {
17                  if((j+1)%b==0&&(j+2)%c==0)
18                  {
19                      k=1;
20                      break;
21                  }
22              }
23              if(k==1)
24              cout<<j<<endl;
25              else
26              cout<<"Impossible"<<endl;
27          }
28      }
29      return 0;
30 
31 }

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