You is climbing a stair case. It takes n steps to reach the top.Each time you can either climb 1 or 2 steps. In what many distinct ways can you climb to the top?Show Tags
The question is actually the Fibonacci sequence.#include using namespacestd;classSolution { Public: intClimbstairs (intN) {if(n2)return 1; intL=1, r=1, TMP; for(intI=2; i) {tmp=l+R; L=R; R=tmp; } returnR; }};intMain () {so
The Fibonacci sequence is: 1 1 2 3 5 8 ..., the following number is the first two digits of the and, and the second number is 1, with JS implementationTwo methods, one through the common recursive call, the second not through recursion, but through a powerful closure implementation.1. Recursive implementations// Fab 1 1 2 3 5 8 function Fab (num) { if(num==1 | | num==2) {
For example, the Fibonacci sequence: 1,1,2,3,5,8,13,21,34 .... It can't be written with a list generation, but we can print it out using a function: Def fib (number): N, a, b = 0, 0, 1 while n The python generator implements the Fibonacci sequence
I conceived it myself, and actually the program to solve this thing is an offset problem. First look at the sequence:: 1, 1, 2, 3, 5, 8, 13, 21, 34, the next number of series is the sum of the first 2 digits, and so on.
The program is actually a for statement, the traditional for statement is for ($i =1; $i; $count, $i + +), where the offset is $i= $i +1. If this sequence is processed, the offset is not 1,
When you do programming topics, you often encounter the "Fibonacci sequence" related topics, especially in doing OJ. Here are some ways to:
(i) Recursion
Recursion is the slowest occurrence of repetitive computations, with a exponentially of time complexity.
Copy Code code as follows:
Long long FAC (int n)
{
if (n==1) return 1;
else if (n==2) return 2;
else return FAC (n-1) +FAC (
Title Link: https://www.51nod.com/onlineJudge/questionCode.html#!problemId=1031Test instructions: Chinese question eh ~Idea: For the case of the X-block Domino, we use a[x] to express its method number, which is more than the x-1 block Domino, a domino, there are two kinds of dominoes to put the method:1. We can directly add it vertically at the end, then the number of permutations is the first x-1 block of the number of dominoes, that is, a[x-1];2. We can also put it sideways with the preceding
Today the group out an algorithm problem, feel very funny, their elementary school when math, think can fix, think for a long time oneself still did not find solution, hey, it seems IQ still two times development. First, the topic:50 steps, can walk 1 steps or 2 steps at a time, ask how many kinds of way?See this question I first think of is with for, similar to 2 yuan money can have how many 1, 5 wool, 2 wool, 1 wool composition, but think carefully or not, steps this is in order, even if only
I conceived it myself, and the fact that the program solves the problem is an offset. First look at the series:: 1, 1, 2, 3, 5, 8, 13, 21, 34 the next number of series is the sum of the first 2 numbers, and so on.
Program processing, is actually a for statement, the traditional for statement is for ($i =1; $i; $count, $i + +), where the offset is $i= $i +1. If this sequence is processed, the offset is not 1, which is the first 1 digits. So when you ha
The maid is defined by the recurrence relation:
FN= FN1 +FN2,Where F1 = 1 and F2 = 1.
Hence the first 12 terms will be:
F1 = 1F2 = 1F3 = 2F4 = 3F5 = 5F6 = 8F7 = 13F8 = 21F9 = 34F10 = 55F11 = 89F12 = 144.
The 12th term, F12, is the first term to contain three digits.
What is the first term in the Fibonacci sequence to contain 1000 digits?
Http://projecteuler.net/problem=25
In front of the iterator and generator principle, it has been said that the __iter__ method and the role of the __next__ method, here do not repeat the description.In this complement an example of implementing an iterator protocol.Example 1: (The iterator generates an infinite value before the exception is thrown stopiteration)Class C1:def __init__ (Self,start):Self.start = Startdef __iter__ (self):return selfDef next (self):Self.start + = 1Return Self.startO1 = C1 (10)For I in O1:Print IExample
There are a pair of rabbits, starting from the 3rd month after birth a pair of rabbits every month,Rabbit long to the third month after the birth of a pair of rabbits each month, if the rabbit is not dead, ask the total number of rabbits each month? Public classItem { Public Static voidMain (string[] args) {//The problem of the undead rabbitSystem. out. println (Rabbit (3)); } Public Static intRabbitintm) {if(M 0) {System. out. println ("input Error! No this month"); return-1; } E
Algorithm Analysis:
Type the following sequence:
1,1,2,3,5,8,13,21,34,55,89 ...
Called the Fibonacci series, which is customarily called the fee-type series.
Solution formula:
Algorithm implementation:
About Fibonacci should be more familiar, 0,1,1,2,3 ...The basic formula is f (n) = f (n-1) + f (n-2); F (0) = 0; F (1) = 1;Method 1: The iterative method can be used to implement:public static int F1 (int n) {if (nThe implementation method is simple.Method 2: Principle and Method 1, Public Static intF2 (intN) { intA = 1, b = 1; intm = 0; if(N ){ return1; }Else{ for(inti=3; i) {m= A +b; A=b; b=m; } } returnm;} Java implementatio
#-*-coding:cp936-*-# Fibonacci Seriesdef fibs (num):rest=[0,1]For I in Range (num-2):Rest.append (Rest[-2]+rest[-1])return restPrint fibs (10)# Recursivedef f (n):If n==1:Return 1ElseReturn N*f (n-1)Print F (6)# SecretDef p (x,n):If n==0:Return 1ElseReturn X*p (x,n-1)Print P (2,1)"""Isalnum ()2011-09-26 10:20:41| Category: Accompanying notes| Tags:isalnum isalpha isdigit | Font Size SubscriptionThe description of the function is this:Checks for an AS
Hihocoder #1143: Domino Coverage problem • Time limit:10000msSingle Point time limit:1000msMemory Limit:256MBDescribeDominoes, an ancient toy. Today we are going to look at the problem of Domino coverage:We have a 2xN strip board and then use the 1x2 dominoes to cover the entire board. How many different coverage methods are there for this chessboard?For example, for a board with a length of 1 to 3, we have the following types of coverage:Hint: Domino OverlayTip: How to quickly calculate results
Yesterday, I encountered a question like 1, 1, 2, 3, 5, 8, 13, 21.... What is the value of 30th?CodeThe implementation is as follows:
1 // 30th, 13, 21 ...... what is? 2 // Use recursion to calculate the Fibonacci sequence value of a specified number of digits 3 // Fn = f (n-1) + f (n-2) 4 Public Static Int Getfibonaccinumber ( Int Index) 5 { 6 If (Index 0
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