If we sum up every digit of a number and the result can be exactly divided by 10, we say this number is a good number.
You are required to count the number of good numbers in the range from A to B, inclusive.
import java.io.BufferedReader;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.Arrays;
import java.util.StringTokenizer;
public class Main {
public static void main(String[] args) {
new Task().solve();
}
}
class Task{
InputReader in = new InputReader(System.in) ;
PrintWriter out = new PrintWriter(System.out) ;
void solve(){
int t = in.nextInt() ;
for(int cas = 1 ; cas <= t ; cas++){
long l = in.nextLong() ;
long r = in.nextLong() ;
out.print("Case #" + cas + ": ");
out.println(work(r) - work(l-1)) ;
}
out.flush();
}
int[] bit = new int[20] ;
long[][] dp = new long[20][10] ;
{
for(int i = 0 ; i < 20 ; i++) Arrays.fill(dp[i] , -1) ;
}
long dfs(int pos , int sum , boolean isEnd){
if(pos < 0){
return sum == 0 ? 1 : 0 ;
}
if(!isEnd && dp[pos][sum] != -1) return dp[pos][sum] ;
int d = isEnd ? bit[pos] : 9 ;
long result = 0 ;
for(int i = 0 ; i <= d ; i++){
result += dfs(pos-1 , (sum+i)%10 , isEnd&&i==d) ;
}
if(!isEnd) dp[pos][sum] = result ;
return result ;
}
long work(long x){
if(x < 0) return 0 ;
int len = 0 ;
while(x > 0){
bit[len++] = (int) (x % 10) ;
x /= 10 ;
}
return dfs(len-1, 0, true) ;
}
}
class InputReader {
public BufferedReader reader;
public StringTokenizer tokenizer;
public InputReader(InputStream stream) {
reader = new BufferedReader(new InputStreamReader(stream), 32768);
tokenizer = new StringTokenizer("");
}
private void eat(String s) {
tokenizer = new StringTokenizer(s);
}
public String nextLine() {
try {
return reader.readLine();
} catch (Exception e) {
return null;
}
}
public boolean hasNext() {
while (!tokenizer.hasMoreTokens()) {
String s = nextLine();
if (s == null)
return false;
eat(s);
}
return true;
}
public String next() {
hasNext();
return tokenizer.nextToken();
}
public int nextInt() {
return Integer.parseInt(next());
}
public long nextLong() {
return Long.parseLong(next());
}
public double nextDouble() {
return Double.parseDouble(next());
}
public BigInteger nextBigInteger() {
return new BigInteger(next());
}
}