Bell（矩阵快速幂+中国剩余定理）

Bell

Time Limit:3000MS     Memory Limit:32768KB     64bit IO Format:%I64d & %I64u

Submit Status Practice HDU 4767

Appoint description:  System Crawler  (2015-03-15)

Description

What? MMM is learning Combinatorics!? 
Looks like she is playing with the bell sequence now: 
bell[n] = number of ways to partition of the set {1, 2, 3, ..., n} 

e.g. n = 3: 
{1, 2, 3} 
{1} {2 3} 
{1, 2} {3} 
{1, 3} {2} 
{1} {2} {3} 
so, bell[3] = 5 

MMM wonders how to compute the bell sequence efficiently. 

 

Input

T -- number of cases 
for each case: 
　　n (1 <= n < 2^31) 

 

Output

for each case: 
　　bell[n] % 95041567 

 

Sample Input

6

1

2

3

4

5

6

 

Sample Output

1

2

5

15

52

203

 

 

 

先留着！