HDU 5351 MZL’s Border（规律）

MZL’s Border

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 835    Accepted Submission(s): 268

Problem Description

As is known to all, MZL is an extraordinarily lovely girl. One day, MZL was playing with her favorite data structure, strings.

MZL is really like 

Fibonacci Sequence, so she defines 

Fibonacci Strings in the similar way. The definition of 

Fibonacci Strings is given below.

  

  1) 

fib1=b

  

  2) 

fib2=a

  

  3) 

fibi=fibi−1fibi−2, i>2

  

For instance, 

fib3=ab, fib4=aba, fib5=abaab.

Assume that a string 

s whose length is 

n is 

s1s2s3…sn. Then 

sisi+1si+2si+3…sj is called as a substring of 

s, which is written as 

s[i:j].

Assume that 

i
Now you are given 2 numbers 

n and 

m. MZL wonders what 

LBorderm of 

fibn is. For the number can be very big, you should just output the number modulo 

258280327(=2×317+1).

Note that 

1≤T≤100, 1≤n≤103, 1≤m≤|fibn|.

Input

T, which means the number of test cases.

Then for the following 

T lines, each has two positive integers 

n and 

m, whose meanings are described in the description.

Output

T lines. Each has one number, meaning 

fibn’s 

LBorderm modulo 

258280327(=2×317+1).

Sample Input

2
4 3
5 5

Sample Output

1
2

Source

2015 Multi-University Training Contest 5

点击打开链接

import java.util.Scanner;
import java.math.BigInteger;

public class Main{
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        int N = sc.nextInt();
        BigInteger[] a=new BigInteger[1055];
        BigInteger[] b=new BigInteger[1055];
        a[1]=BigInteger.valueOf(1);
        a[2]=BigInteger.valueOf(2);
        for(int i=3;i0)
        {
            N--;
            int n=sc.nextInt();
            BigInteger m = sc.nextBigInteger();

            for(int i=1;i=0 )
                {

                     System.out.println((m.subtract(a[i-1])).mod(BigInteger.valueOf(258280327)));
                     break;
                }

            }
        }
    }
}

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