题目传送门 Description 给出 \(n,k\) ,求出: \[\sum_{i=1}^{n} f_i·i^k \] 其中 \(f_i\) 表示斐波拉契第 \(i\) 项.\(n\le 10^{18},k\le 40\) . Solution 哎,被这个 \(k\le 40\) 误导了,以为是斯特林数./kk 发现假如我们用矩阵表示 \(f_i\),那么我们就只需要求出: \[\sum_{i=1}^{n} G^ii^k \] 其中 \(G=\begin{bmatrix}1 & 1\\ 1…

HDU 1711 Number Sequence(数列) Time Limit: 10000/5000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others) [Description] [题目描述] Given two sequences of numbers : a[1], a[2], ...... , a[N], and b[1], b[2], ...... , b[M] (1 <= M <= 10000, 1 <= N…

HDU 1005 Number Sequence(数列) Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others) [Description] [题目描述] A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7. Given A, B, an…

Problem Description A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7. Given A, B, and n, you are to calculate the value of f(n).   Input The input consists of multiple test cases. Each test case…

    Number Sequence Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 19246    Accepted Submission(s): 8267 Problem Description Given two sequences of numbers : a[1], a[2], ...... , a[N], and b[…

1005 Number Sequence 时间限制: 1 Sec  内存限制: 60 MB 题目描述 A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7. Given A, B, and n, you are to calculate the value of f(n).  输入 The input consists of multiple…

Number Sequence Time Limit:2000MS     Memory Limit:65536KB     64bit IO Format:%I64d & %I64u Problem Description There is a special number sequence which has n+1 integers. For each number in sequence, we have two rules: ● a i ∈ [0,n] ● a i ≠ a j ( i…

Time Limit:1000MS     Memory Limit:32768KB Description ​A number sequence is defined as follows:f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7.Given A, B, and n, you are to calculate the value of f(n). Input The input consists of mult…

一.题目大意 有这样一个序列包含S1,S2,S3...SK,每一个Si包括整数1到 i.求在这个序列中给定的整数n为下标的数. 例如,前80位为11212312341234512345612345671234567812345678912345678910123456789101112345678910,第8位为2. 二.题解 动手做这道题之前要了解所求的是第n位而不是某一个Si中的第几个数,一位数占一位,两位数占两位,三位占三位...由于每一组都比前一组多一个数,如果这个数是一位数,则该组数的…

Discription Everyone knows what the Fibonacci sequence is. This sequence can be defined by the recurrence relation: F1 = 1, F2 = 2, Fi = Fi - 1 + Fi - 2 (i > 2). We'll define a new number sequence Ai(k) by the formula: Ai(k) = Fi × ik (i ≥ 1). In thi…

                  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…

A number sequence is defined as follows:  f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7.  Given A, B, and n, you are to calculate the value of f(n). Input The input consists of multiple test cases. Each test case contains 3 integers…

CF - 392 C. Yet Another Number Sequence 题目传送门 这个题看了十几分钟直接看题解了,然后恍然大悟,发现纸笔难于描述于是乎用Tex把初始矩阵以及转移矩阵都敲了出来 \(n\le 1e17\) 这个数量级求前缀和,发现递推关系之后矩阵快速幂是可以求出来的,所以就尝试把\(A_i(k)\) 的递推式求出来. \[A_{i-1}(k) = F_{i-1} * (i-1) ^ k\\ A_{i-2}(k) = F_{i-2} * (i-2) ^ k \] \[\be…

Number Sequence Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 154923    Accepted Submission(s): 37854 Problem Description A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A…

找规律,先找属于第几个循环,再找属于第几个数的第几位...... Number Sequence Time Limit: 1000MS Memory Limit: 10000K Total Submissions: 31552 Accepted: 8963 Description A single positive integer i is given. Write a program to find the digit located in the position i in the sequ…

Number Sequence Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 8600    Accepted Submission(s): 3953 Problem Description Given two sequences of numbers : a[1], a[2], ...... , a[N], and b[1], b[…

Number Sequence   A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7. Given A, B, and n, you are to calculate the value of f(n).   Input The input consists of multiple test cases. Each test case co…

AX2012的number sequence framework中引入了两个Scope和segment两个概念,它们的具体作用从下面序列的例子说起. 法国/中国的法律要求财务凭证的Journal number包含公司代码和财务期间,比如这样的号码J-20-Jan11-000340,J表上Journal,20代表的是公司代码,Jan11为财务期间,000340才是系统生成的流水号. 在创建Numer sequence的界面上可以选择需要的Scope: Company and fiscal cale…

Number Sequence Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 11606    Accepted Submission(s): 5294 Problem Description Given two sequences of numbers : a[1], a[2], ...... , a[N], and b[1], b…

Number Sequence Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 89984    Accepted Submission(s): 21437 Problem Description A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A…

Number Sequence Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 124827 Accepted Submission(s): 30331 Problem Description A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A * f(…

Number Sequence Time Limit: 10000/3000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Problem Description Given a number sequence b1,b2…bn. Please count how many number sequences a1,a2,...,an satisfy the condition that a1*a2*...*an=b1*…

Number Sequence DescriptionA single positive integer i is given. Write a program to find the digit located in the position i in the sequence of number groups S1S2...Sk. Each group Sk consists of a sequence of positive integer numbers ranging from 1 t…

Number Sequence Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 86102 Accepted Submission(s): 20423 Problem Description A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A * f(n…

Suppose we want create number sequence for Test field on form in General  ledger module Consideration: EDT-Test, Table-TestTable and Form- TestTable   Step1. Create new EDT with name Test Step 2. Modify load module() method on  NumberSeqModuleLedger…

Yet Another Number Sequence Description Everyone knows what the Fibonacci sequence is. This sequence can be defined by the recurrence relation: F1 = 1, F2 = 2, Fi = Fi - 1 + Fi - 2 (i > 2). We'll define a new number sequence Ai(k) by the formula: Ai(…

Number Sequence Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 9058    Accepted Submission(s): 4149 Problem Description Given two sequences of numbers : a[1], a[2], ...... , a[N], and b[1], b[…

Problem B Number Sequence Input: standard input Output: standard output Time Limit: 1 second A single positive integer i is given. Write a program to find the digit located in the position i in the sequence of number groups S1S2…Sk. Each group Sk con…

Number Sequence Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 15017    Accepted Submission(s): 6585 Problem Description Given two sequences of numbers : a[1], a[2], ...... , a[N], and b[1], b…

Number Sequence Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 147964    Accepted Submission(s): 35964 Problem Description A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A…