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简单数学题

Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 1416    Accepted Submission(s): 564


Problem Description
已知

$$ F(n) = \sum_{i=1}^n (i \times \sum_{j=i}^n C_j^i) $$

求 F(n) mod 1000000007
 

Input
多组输入，每组输入占一行，包含一个整数n（1 <= n <= 1e18)。
数据不超过300000组。
 

Output
对于每组输入，输出一行，包括一个数代表答案。
 

Sample Input
5
100
 

Sample Output
129
660756544
 

Source
“字节跳动-文远知行杯”广东工业大学第十四届程序设计竞赛
 

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