题意 \(x_k=bc^{2k}+d\) \(\displaystyle F(x)=\sum_{i=0}^{n-1}a_ix^i\) 给定 \(\{a\},b,c,d,n\) ,求 \(F(x_0),F(x_1),\cdots,F(x_{n-1})\) 思路 设 \(ans_k=F(x_k)\) \[ ans_k=\sum_{i=0}^{n-1}a_i(b\cdot c^{2k}+d)^i \] 二项展开得 \[ ans_k=\sum_{i=0}^{n-1}\sum_{j=0}^{i}a_i{i…

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HDU 5724 Chess(国际象棋) Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Description 题目描述 Alice and Bob are playing a special chess game on an n × 20 chessboard. There are several chesses on the chessboard. They can mo…

 physics(物理) Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)   Description 题目描述 There are n balls on a smooth horizontal straight track. The track can be considered to be a number line. The balls can be considered…

 Danganronpa(弹丸论破) Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Description 题目描述 Chisa Yukizome works as a teacher in the school. She prepares many gifts, which consist of n kinds with a[i] quantities of each ki…

hdu 4656 Evaluation 题意:给出\(n,b,c,d,f(x) = \sum_{i=1}^{n-1} a_ix^i\),求\(f(b\cdot c^{2k}+d):0\le k < n\) 取模\(10^6+3\) 昨天刚看过<具体数学>上求和一章 代入\(b\cdot c^{2k}+d\)然后展开,交换求和顺序,得到 \[ f(k) = \sum_{j=0}^n \frac{b^j c^{2kj}}{j!} \sum_{i=j}^n a_i i! \frac{d^{i-…

HDU 3085 Nightmare Ⅱ(噩梦 Ⅱ) Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)   Problem Description - 题目描述 Last night, little erriyue had a horrible nightmare. He dreamed that he and his girl friend were trapped in a…

HDU 5976 Detachment(拆分) 00 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)   Problem Description - 题目描述 In a highly developed alien society, the habitats are almost infinite dimensional space. In the history of this planet,there is an o…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=4816 Problem Description The Bathysphere is a spherical deep-sea submersible which was unpowered and lowered into the ocean on a cable, and was used to conduct a series of dives under the sea. The Bathys…