DIGITAL CLOCK

• Problem Description

  
  "It's possible for all the digits displayed on a digital clock in the hours:minutes format to be identical. The time shown above (3:33) is an example of such a situation. Other examples are 2:2 and 1:11. Note that the digits of 33:33 are identical, but it is not a valid time on a usual digital clock.
  
  The above example was for a usual 24-hour format digital clock. Let's consider a more general clock, where an hour lasts M minutes and a day lasts H hours (therefore, the clock can show any number of hours between 0 and H-1, inclusive, and any number of minutes between 0 and M-1, inclusive). Both the hours and the minutes are shown without leading zeroes in decimal notation and their separator (e.g., ':') doesn't matter.
  
  Can you tell how many minutes during a day will the digital clock have identical digits displayed on it?"

• CODING ARENA

• #include <stdio.h>

  int min(int x,int y)

  {

    if(x<y)

      return x;

    else

      return y;

  }

  int main()

  {

    int t,n,m,a,b,s;

    scanf("%d",&t);

    while(t--)

    {

      scanf("%d%d",&n,&m);

      a=(n-1)/11;

      b=(m-1)/11;

      s=min(min(10,m),min(10,n))+min(a,m-1)+min(n-1,b)+min(a,b);

      printf("%d\n",s);

    }

      

  
  

  return 0;

  }

• Test Case 1

  
  Input (stdin)

  6
  
  24 60
  
  34 50
  
  10 11
  
  10 12
  
  11 11
  
  1 1
  
  

  Expected Output

  19
  
  20
  
  10
  
  11
  
  10
  
  1

• Test Case 2

  
  Input (stdin)

  6
  
  30 60
  
  34 40
  
  11 11
  
  12 10
  
  10 11
  
  1 2
  
  

  Expected Output

  19
  
  19
  
  10
  
  11
  
  10
  
  1