题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5950 Farmer John likes to play mathematics games with his N cows. Recently, they are attracted by recursive sequences. In each turn, the cows would stand in a line, while John writes two positive numbers…

题意:递推公式 Fn = Fn-1 + 2 * Fn-2 + n*n,让求 Fn; 析:很明显的矩阵快速幂,因为这个很像Fibonacci数列,所以我们考虑是矩阵,然后我们进行推公式,因为这样我们是无法进行运算的.好像有的思路,最后也没想出来,还是参考的大牛的博客 http://blog.csdn.net/spring371327/article/details/52973534 那是讲的很详细了,就不多说了,注意这个取模不是1e9+7,一开始忘了.. 代码如下: #pragma comment…

Recursive sequence Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Problem Description Farmer John likes to play mathematics games with his N cows. Recently, they are attracted by recursive sequences. In each turn,…

题目链接:传送门 题目: Recursive sequence Time Limit: / MS (Java/Others) Memory Limit: / K (Java/Others) Total Submission(s): Accepted Submission(s): Problem Description Farmer John likes to play mathematics games with his N cows. Recently, they are attracted…

题目链接:https://vjudge.net/problem/HDU-5950 Recursive sequence Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 2727    Accepted Submission(s): 1226 Problem Description Farmer John likes to play mat…

题意 设 $$f_i = \left\{\begin{matrix}1 , \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  i < k\\ \prod_{j=1}^k f_{i-j}^{b_j} \ mod \ p, \ \ \ \ \ i > k\end{matrix}\right.$$ 求 $f_k$($1 \leq f_k < p$),使得 $f_m = n$.($1 \leq k\leq 100$) 分析 $f_n$ 可以表示…

Recursive sequence Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Total Submission(s): 3832    Accepted Submission(s): 1662 Problem Description Farmer John likes to play mathematics games with his N cows. Recently…

题目链接 F[1] = a, F[2] = b, F[i] = 2 * F[i-2] + F[i-1] + i ^ 4, (i >= 3) 现在要求F[N] 类似于斐波那契数列的递推式子吧, 但是N最大能到int的最大值, 直接循环推解不了 所以就得用矩阵快速幂咯 现在就看转移矩阵长什么样了 Mi表示要求的矩阵 转移矩阵用A表示 A * Mi = Mi+1 矩阵Mi里面至少得有 F[i-1] F[i-2] i ^ 4 Mi+1就相应的有 F[i] F[i-1] (i+1)^4 (i+1)^4 =…

题目链接: Sequence Time Limit: 2000/1000 MS (Java/Others)     Memory Limit: 65536/65536 K (Java/Others) Problem Description Holion August will eat every thing he has found. Now there are many foods,but he does not want to eat all of them at once,so he fi…

                  Yet another Number Sequence Let’s define another number sequence, given by the following function:f(0) = af(1) = bf(n) = f(n − 1) + f(n − 2), n > 1When a = 0 and b = 1, this sequence gives the Fibonacci Sequence. Changing the values…