HDU 4722-Good Numbers
2014-05-10 09:59
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Description
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.
Input
The first line has a number T (T <= 10000) , indicating the number of test cases.
Each test case comes with a single line with two numbers A and B (0 <= A <= B <= 10
18).
Output
For test case X, output "Case #X: " first, then output the number of good numbers in a single line.
Sample Input
2
1 10
1 20
Sample Output
Case #1: 0
Case #2: 1
Hint
打表找规律~
发现每100位便可以找到10各个位置加起来是10的倍数的数字...只要判断a 和b 是100的几倍即可~~
CODE:
#include<iostream>
#include<stdio.h>
#include<string.h>
#include<string>
using namespace std;
int main()
{
int T;
scanf("%d",&T);
for(int tt=1;tt<=T;tt++)
{
long long a,b;
scanf("%I64d%I64d",&a,&b);
long long ans=(b/100-a/100)*10;
long long aa=a/100*100;
while(aa<a)
{//printf("1\n");
long long ta=aa;
long long t=0;
while(ta!=0)
{
t+=ta%10;
ta=ta/10;
}
if(t%10==0)
{
ans--;
}
aa++;
}
long long bb=b/100*100;
while(bb<=b)
{//printf("1\n");
long long tb=bb;
long long t=0;
while(tb!=0)
{
t+=tb%10;
tb=tb/10;
}
if(t%10==0)
{
ans++;
}
bb++;
}
printf("Case #%d: %I64d\n",tt,ans);
}
return 0;
}
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.
Input
The first line has a number T (T <= 10000) , indicating the number of test cases.
Each test case comes with a single line with two numbers A and B (0 <= A <= B <= 10
18).
Output
For test case X, output "Case #X: " first, then output the number of good numbers in a single line.
Sample Input
2
1 10
1 20
Sample Output
Case #1: 0
Case #2: 1
Hint
The answer maybe very large, we recommend you to use long long instead of int.
打表找规律~
发现每100位便可以找到10各个位置加起来是10的倍数的数字...只要判断a 和b 是100的几倍即可~~
CODE:
#include<iostream>
#include<stdio.h>
#include<string.h>
#include<string>
using namespace std;
int main()
{
int T;
scanf("%d",&T);
for(int tt=1;tt<=T;tt++)
{
long long a,b;
scanf("%I64d%I64d",&a,&b);
long long ans=(b/100-a/100)*10;
long long aa=a/100*100;
while(aa<a)
{//printf("1\n");
long long ta=aa;
long long t=0;
while(ta!=0)
{
t+=ta%10;
ta=ta/10;
}
if(t%10==0)
{
ans--;
}
aa++;
}
long long bb=b/100*100;
while(bb<=b)
{//printf("1\n");
long long tb=bb;
long long t=0;
while(tb!=0)
{
t+=tb%10;
tb=tb/10;
}
if(t%10==0)
{
ans++;
}
bb++;
}
printf("Case #%d: %I64d\n",tt,ans);
}
return 0;
}
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