2017 多校3 hdu 6061 RXD and functions

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2017 多校3 hdu 6061 RXD and functions

2017 多校3 hdu 6061 RXD and functions(FFT) 题意: 给一个函数\(f(x)=\sum_{i=0}^{n}c_i \cdot x^{i}\) 求\(g(x) = f(x - \sum a_i)\)后每一项\(x^{i}\)的系数mod998244353 \(n <= 10^{5},m <= 10^{5}\) \(0 <= c_i < 998244353\) \(0 <= a_i < 998244353\) 思路: 令\(d = -\s…

HDU 6061 - RXD and functions | 2017 Multi-University Training Contest 3

每次NTT都忘记初始化,真的是写一个小时,Debug两个小时- - /* HDU 6061 - RXD and functions [ NTT ] | 2017 Multi-University Training Contest 3 题意: 给定多项式 F(x) = ∑[0<=i<=n] f(i)*x^i 求多项式 G(x) = F(x-a) n <= 1e5 分析: 设 G(x) = ∑ g(i)*x^i 将 F(x-a) 按二项式定理展开后易得: g(x) = ∑[x<=y&l…

HDU 6061 RXD and functions NTT

RXD and functions Problem Description RXD has a polynomial function f(x), f(x)=∑ni=0cixiRXD has a transformation of function Tr(f,a), it returns another function g, which has a property that g(x)=f(x−a).Given a1,a2,a3,…,am, RXD generates a polynomial…

HDU 6061 RXD and functions（NTT）

题意给定一个\(n\) 次的 \(f\) 函数,向右移动 \(m\) 次得到 \(g\) 函数,第 \(i\) 次移动长度是 \(a_i\) ,求 \(g\) 函数解析式的各项系数,对 \(998244353\) 取模. \(1 \leq n \leq 10^5\) \(1\leq \sum m \leq 10^5\) 思路设 \(\displaystyle S=-\sum_{i=1}^ma_i\) \[ g(x)=f(x+S)\\ g(x)=\sum_{i=0}^nc_i(…

HDU 6061 RXD and functions

题目链接:HDU-6061 题意:给定f(x),求f(x-A)各项系数. 思路:推导公式有如下结论: 然后用NTT解决即可. 代码: #include <set> #include <cmath> #include <queue> #include <stack> #include <vector> #include <string> #include <cstdio> #include <cstdlib> #…

2017 多校2 hdu 6053 TrickGCD

2017 多校2 hdu 6053 TrickGCD 题目: You are given an array \(A\) , and Zhu wants to know there are how many different array \(B\) satisfy the following conditions? \(1≤B_i≤A_i\) For each pair(\(l , r) (1≤l≤r≤n) , gcd(bl,bl+1...br)≥2\) Input The first line…