SSLOJ 1343 infinite sequence
Description–
We generate a sequence as follows:
1, at the start of the sequence is: "1";
2, every change in the sequence of "1" to "10", "0" to "1."
After an unlimited number of changes, we get the sequence "1011010110110101101 ...."
There are a query Q, each query is: 1 between the number of sections A and B.
Task Write a program to answer the Q inquiry
Input–
Conduct a first integer Q, followed by Q rows each separated by a space of two integer numbers a, b.
Output–
A total of Q lines, each line an answer
Sample Input–
1
2 8
Sample Output–
4
Notes -
1 <= Q <= 5000
1 <= a <= b < 263
Problem-solving ideas -
The i-th = th + i-1 of the two i-2
but also directly with the number of 1 ~ b is 1 minus the number of 1 ~ a 1 on ok (see the specific code)
Code -
#include<iostream>
#include<cstdio>
using namespace std;
long long q,x,y,by,a[100],b[100];
long long fy(long long ll)
{
for (int i=1;i<=92;++i)
{
if (b[i]==ll) return a[i];
if (b[i]>ll) return a[i-1]+fy(ll-b[i-1]);//分成两段
}
}
int main()
{
a[1]=a[2]=b[1]=1,b[2]=2;
for (int i=3;i<=92;++i)
a[i]=a[i-2]+a[i-1],b[i]=b[i-2]+b[i-1];//构造
scanf("%lld",&q);
for (int i=1;i<=q;++i)
{
scanf("%lld%lld",&x,&y);
by=fy(y);
if (x==1) printf("%lld\n",by);
else printf("%lld\n",by-fy(x-1));//"b-a"
}
return 0;
}