Ural 1057(Amount of Degrees-数位统计入门)

2014-11-24 01:41:25 · 作者: · 浏览: 2

1057. Amount of Degrees
Time limit: 1.0 second
Memory limit: 64 MB

Create a code to determine the amount of integers, lying in the set [X;Y] and being a sum of exactlyK different integer degrees of B.
Example. Let X=15, Y=20, K=2, B=2. By this example 3 numbers are the sum of exactly two integer degrees of number 2:
17 = 24+20,
18 = 24+21,
20 = 24+22.
Input
The first line of input contains integers X and Y, separated with a space (1 ≤ X ≤ Y ≤ 231 1). The next two lines contain integers K and B (1 ≤ K ≤ 20; 2 ≤ B ≤ 10).
Output
Output should contain a single integer — the amount of integers, lying between X and Y, being a sum of exactly K different integer degrees of B.
Sample
input output
15 20
2
2
3

Problem Source: Rybinsk State Avia Academy

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Difficulty: 778 Printable version Submit solution Discussion (35)
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数位统计入门。

详见程序备注(说白了就是填数字)


[cpp] #include
#include
#include
#include
#include
#include
#include
#include
using namespace std;
#define For(i,n) for(int i=1;i<=n;i++)
#define Rep(i,n) for(int i=0;i #define Fork(i,k,n) for(int i=k;i<=n;i++)
#define ForD(i,n) for(int i=n;i;i--)
#define Forp(x) for(int p=pre[x];p;p=next[p])
#define RepD(i,n) for(int i=n;i>=0;i--)
#define MAXK (20+10)
#define MAXB (10+10)
#define MAXLog (32+10)
int x,y,k,b,C[MAXLog][MAXLog];
int a[MAXLog];
int calc(int x,int k,int b) //k num ()b
{
int len=0,ans=0;
while (x)
{
a[++len]=x%b;
x/=b;
}
ForD(i,len)
{
if (a[i]>1)
{
ans+=C[i-1][k]+C[i-1][k-1];break; //考虑这位为1/0的情况
}
else if (a[i]==1)
{
ans+=C[i-1][k]; //考虑这位为0的情况
k--;
}
if (k<0) return ans;
}
return ans;
}
int main()
{
// freopen("ural1057.in","r",stdin);
Rep(i,32+1)
{
C[i][0]=1;C[i][1]=i;
Fork(j,2,i) C[i][j]=C[i-1][j]+C[i-1][j-1];
}
// cout< scanf("%d%d%d%d",&x,&y,&k,&b);
cout<

return 0;
}

#include
#include
#include
#include
#include
#include
#include
#include
using namespace std;
#define For(i,n) for(int i=1;i<=n;i++)
#define Rep(i,n) for(int i=0;i #define Fork(i,k,n) for(int i=k;i<=n;i++)
#define ForD(i,n) for(int i=n;i;i--)
#define Forp(x) for(int p=pre[x];p;p=next[p])
#define RepD(i,n) for(int i=n;i>=0;i--)
#define MAXK (20+10)
#define MAXB (10+10)
#define MAXLog (32+10)
int x,y,k,b,C[MAXLog][MAXLog];
int a[MAXLog];
int calc(int x,int k,int b) //k num ()b
{
int len=0,ans=0;
while (x)
{
a[++len]=x%b;
x/=b;
}
ForD(i,len)
{
if (a[i]>1)
{
ans+=C[i-1][k]+C[i-1][k-1];break; //考虑这位为1/0的情况
}
else if (a[i]==1)
{
ans+=C[i-1][k]; //考虑这位为0的情况
k--;
}
if (k<0) return ans;
}
return ans;
}
int main()
{
// freopen("ural1057.in","r",stdin);
Rep(i,32+1)
{
C[i][0]=1;C[i][1]=i;
Fork(j,2,i) C[i][j]=C[i-1][j]+C[i-1][j-1];
}
// cout< scanf("%d%d%d%d",&x,&y,&k,&b);
cout<

return 0;
}