这是我的作业：
有一个由 8 个细胞组成的菌落，排列成一条直线，每天每个细胞都与其相邻的细胞（邻居）竞争。每天，对于每个单元格，如果其邻居都处于活动状态或都处于非活动状态，则该单元格在第二天就会变为非活动状态。否则第二天就会激活。
假设：两端的两个单元格有一个相邻的单元格，所以 可以假设另一个相邻小区始终处于不活动状态。甚至 更新单元格状态后。考虑其先前状态 更新其他细胞的状态。更新小区信息 所有细胞同时。
编写一个函数 cellCompete，它需要一个 8 元素数组 代表 8 个单元格和 1 个单元格当前状态的整数单元格 表示要模拟的天数的整数天。一个整数 值 1 表示活动单元格，值 0 表示单元格 不活跃的细胞。
节目：
int* cellCompete(int* cells,int days) { //write your code here } //function signature ends Test Case 1: INPUT: [1,0,0,0,0,1,0,0],1 EXPECTED RETURN VALUE: [0,1,0,0,1,0,1,0] Test Case 2: INPUT: [1,1,1,0,1,1,1,1,],2 EXPECTED RETURN VALUE: [0,0,0,0,0,1,1,0]
这是上面针对该问题给出的问题陈述。下面给出了我为这个问题编写的代码。但输出与输入相同。
#include<iostream>
using namespace std;
// signature function to solve the problem
int *cells(int *cells,int days)
{ int previous=0;
for(int i=0;i<days;i++)
{
if(i==0)
{
if(cells[i+1]==0)
{
previous=cells[i];
cells[i]=0;
}
else
{
cells[i]=0;
}
if(i==days-1)
{
if(cells[days-2]==0)
{
previous=cells[days-1];
cells[days-1]=0;
}
else
{
cells[days-1]=1;
}
}
if(previous==cells[i+1])
{
previous=cells[i];
cells[i]=0;
}
else
{
previous=cells[i];
cells[i]=1;
}
}
}
return cells;
}
int main()
{
int array[]={1,0,0,0,0,1,0,0};
int *result=cells(array,8);
for(int i=0;i<8;i++)
cout<<result[i];
}
我无法得到错误，我认为我的逻辑是错误的。我们可以在这里应用动态规划吗？如果可以，那么如何应用？
private List<Integer> finalStates = new ArrayList<>();
public static void main(String[] args) {
// int arr[] = { 1, 0, 0, 0, 0, 1, 0, 0 };
// int days = 1;
EightHousePuzzle eightHousePuzzle = new EightHousePuzzle();
int arr[] = { 1, 1, 1, 0, 1, 1, 1, 1 };
int days = 2;
eightHousePuzzle.cellCompete(arr, days);
}
public List<Integer> cellCompete(int[] states, int days) {
List<Integer> currentCellStates = Arrays.stream(states).boxed().collect(Collectors.toList());
return getCellStateAfterNDays(currentCellStates, days);
}
private List<Integer> getCellStateAfterNDays(List<Integer> currentCellStates, int days) {
List<Integer> changedCellStates = new ArrayList<>();
int stateUnoccupied = 0;
if (days != 0) {
for (int i1 = 0; i1 < currentCellStates.size(); i1++) {
if (i1 == 0) {
changedCellStates.add(calculateCellState(stateUnoccupied, currentCellStates.get(i1 + 1)));
} else if (i1 == 7) {
changedCellStates.add(calculateCellState(currentCellStates.get(i1 - 1), stateUnoccupied));
} else {
changedCellStates
.add(calculateCellState(currentCellStates.get(i1 - 1), currentCellStates.get(i1 + 1)));
}
}
if (days == 1) {
System.out.println("days ==1 hit");
finalStates = new ArrayList<>(changedCellStates);
return finalStates;
}
days = days - 1;
System.out.println("Starting recurssion");
getCellStateAfterNDays(changedCellStates, days);
}
return finalStates;
}
private int calculateCellState(int previousLeft, int previousRight) {
if ((previousLeft == 0 && previousRight == 0) || (previousLeft == 1 && previousRight == 1)) {
// the state gets now changed to 0
return 0;
}
// the state gets now changed to 0
return 1;
}
这是我的Java解决方案：
public class Colony
{
public static int[] cellCompete(int[] cells, int days)
{
int oldCell[]=new int[cells.length];
for (Integer i = 0; i < cells.length ; i++ ){
oldCell[i] = cells[i];
}
for (Integer k = 0; k < days ; k++ ){
for (Integer j = 1; j < oldCell.length - 1 ; j++ ){
if ((oldCell[j-1] == 1 && oldCell[j+1] == 1) || (oldCell[j-1] == 0 && oldCell[j+1] == 0)){
cells[j] = 0;
} else{
cells[j] = 1;
}
}
if (oldCell[1] == 0){
cells[0] = 0;
} else{
cells[0] = 1;
}
if (oldCell[6] == 0){
cells[7] = 0;
} else{
cells[7] = 1;
}
for (Integer i = 0; i < cells.length ; i++ ){
oldCell[i] = cells[i];
}
}
return cells;
}
}
您的程序不区分模拟天数和单元格数量。
#include <bits/stdc++.h>
using namespace std;
int* cellCompete(int* cells,int days)
{
for(int j=0; j<days; j++)
{
int copy_cells[10];
for(int i=1; i<9; i++)
copy_cells[i]=cells[i-1];
copy_cells[0]=0;copy_cells[9]=0;
for(int i=0; i<8; i++)
cells[i]=copy_cells[i]==copy_cells[i+2]?0:1;
}
return cells;
}
int main()
{
int arr[8]={1,1,1,0,1,1,1,1};
int arr2[8]={1,0,0,0,0,1,0,0};
cellCompete(arr2,1);
for(int i=0; i<8; i++)
{
cout<<arr2[i]<<" ";
}
}
这里有一些可爱的小Python代码：
def cell(arr, days):
new = arr[:] #get a copy of the array
n = len(arr)
if n == 1: print [0] #when only 1 node, return [0]
for _ in range(days):
new[0] = arr[1] #determine the edge nodes first
new[n - 1] = arr[n - 2]
for i in range(1, n-1):
new[i] = 1 - (arr[i-1] == arr[i+1]) #logic for the rest nodes
arr = new[:] #update the list for the next day
return new
arr = [1, 1, 1, 0, 1, 1, 1, 1]
days = 2
print cell(arr, days)
只需几行代码，您就可以在 Javascript 中轻松完成此操作
let cells = [1,1,1,0,1,1,1,1];
let numOfDays = 2;
let changeState = (cellarr)=> cellarr.map((cur, idx, arr)=> (arr[idx-1] ||0) + (arr[idx+1] || 0)===1?1:0);
let newCells =cells;
for (let i = 0 ; i <numOfDays; i++) newCells = changeState(newCells);
console.log(newCells);
这是可能答案的 C# 版本。由于某种原因，我真的为此苦苦挣扎了一段时间！ 我还融入了上面 Janardan 的一些内容，因为它帮助我朝着正确的方向前进。 （干杯！）
问题的棘手部分是处理这样一个事实：您必须保留单元格的状态才能找出下一个单元格竞争，我最初尝试使用第二个混乱的数组。
注意： 我选择使用 Array.Copy 方法，因为我相信它比在通读时使用 for 循环复制数组更高效且更具可读性。
希望这对将来的人有帮助！
public int[] cellCompete(int[] cell, int day)
{
//First create an array with an extra 2 cells (these represent the empty cells on either end)
int[] inputArray = new int[cell.Length + 2];
//Copy the cell array into the new input array leaving the value of the first and last indexes as zero (empty cells)
Array.Copy(cell, 0, inputArray, 1, cell.Length);
//This is cool I stole this from the guy above! (cheers mate), this decrements the day count while checking that we are still above zero.
while (day-- > 0)
{
int oldCellValue = 0;
//In this section we loop through the array starting at the first real cell and going to the last real cell
//(we are not including the empty cells at the ends which are always inactive/0)
for (int i = 1; i < inputArray.Length - 1; i++)
{
//if the cells below and above our current index are the same == then the target cell will be inactive/0
//otherwise if they are different then the target cell will be set to active/1
//NOTE: before we change the index value to active/inactive state we are saving the cells oldvalue to a variable so that
//we can use that to do the next "cell competition" comparison (this fulfills the requirement to update the values at the same time)
if (oldCellValue == inputArray[i + 1])
{
oldCellValue = inputArray[i];
inputArray[i] = 0;
}
else
{
oldCellValue = inputArray[i];
inputArray[i] = 1;
}
}
}
//Finally we create a new output array that doesn't include the empty cells on each end
//copy the input array to the output array and Bob's yer uncle ;)...(comments are lies)
int[] outputArray = new int[cell.Length];
Array.Copy(inputArray, 1, outputArray, 0, outputArray.Length);
return outputArray;
}
使用C#
public static int[] cellCompete(int[] states, int days)
{
if (days == 0) return states;
int leftValue = 0;
int rigthValue = 0;
for (int i = 0; i < states.Length; i++)
{
if (i == states.Length - 1)
rigthValue = 0;
else
rigthValue = states[i + 1];
if (leftValue == rigthValue){
leftValue = states[i];
states[i] = 0;
}
else{
leftValue = states[i];
states[i] = 1;
}
}
cellCompete(states, days - 1);
return states;
}
我认为上面的一些答案可能更具可读性（除了更高效之外）。使用额外的阵列并根据天数在它们之间交替更新。您可以返回最近更新的数组，该数组始终是正确的。像这样：
function cellCompete(states, days) {
const newStates = [];
let originalStates = true;
while (days--) {
changeStates(
originalStates ? states : newStates,
originalStates ? newStates : states,
states.length
);
originalStates = !originalStates;
}
return originalStates ? states : newStates;
}
function changeStates(states, newStates, len) {
newStates[0] = !states[1] ? 0 : 1;
newStates[len-1] = !states[len-2] ? 0 : 1;
for (let i = 1; i < len - 1; i++) {
newStates[i] = states[i-1] === states[i+1] ? 0 : 1;
}
}
这是我在 c++ 中使用 bitwise 运算符的解决方案：
#include <iostream>
using namespace std;
void cellCompete( int *arr, int days )
{
int num = 0;
for( int i = 0; i < 8; i++ )
{
num = ( num << 1 ) | arr[i];
}
for( int i = 0; i < days; i++ )
{
num = num << 1;
num = ( ( ( num << 1 ) ^ ( num >> 1 ) ) >> 1 ) & 0xFF;
}
for( int i = 0; i < 8; i++ )
{
arr[i] = ( num >> 7 - i ) & 0x01;
}
}
int main()
{
int arr[8] = { 1, 0, 0, 0, 0, 1, 0, 0};
cellCompete( arr, 1 );
for(int i = 0; i < 8; i++)
{
cout << arr[i] << " ";
}
}
#include <stdio.h>
int main() {
int days,ind,arr[8],outer;
for(ind=0;ind<8;scanf("%d ",&arr[ind]),ind++); //Reading the array
scanf("%d",&days);
int dupArr[8];
for(outer=0;outer<days;outer++){ //Number of days to simulate
for(ind=0;ind<8;ind++){ //Traverse the whole array
//cells on the ends have single adjacent cell, so the other adjacent cell can be assumsed to be always inactive
if(ind==0){
if(arr[ind+1]==0)
dupArr[ind]=0;
else
dupArr[ind]=1;
}
else if(ind==7){
if(arr[ind-1]==0)
dupArr[ind]=0;
else
dupArr[ind]=1;
}
else{
if((arr[ind-1]==0&&arr[ind+1]==0) || (arr[ind-1]==1&&arr[ind+1]==1)){// if its neighbours are both active or both inactive, the cell becomes inactive the next day
dupArr[ind]=0;
}
else //otherwise it becomes active the next day
dupArr[ind]=1;
}
}
for(ind=0;ind<8;ind++){
arr[ind]=dupArr[ind]; //Copying the altered array to original array, so that we can alter it n number of times.
}
}
for(ind=0;ind<8;ind++)
printf("%d ",arr[ind]);//Displaying output
return 0;
}
这是我几个月前创建的代码，
func competeCell(cell []uint, days uint) []uint{
n := len(cell)
temp := make([]uint, n)
for i :=0; i < n; i ++ {
temp[i] = cell[i]
}
for days > 0 {
temp[0] = 0 ^ cell[1]
temp[n-1] = 0 ^ cell[n-2]
for i := 1; i < n-2 +1; i++ {
temp[i] = cell[i-1] ^ cell[i +1]
}
for i:=0; i < n; i++ {
cell[i] = temp[i]
}
days -= 1
}
return cell
}
使用c++
#include <list>
#include <iterator>
#include <vector>
using namespace std;
vector<int> cellCompete(int* states, int days)
{
vector<int> result1;
int size=8;
int list[size];
int counter=1;
int i=0;
int temp;
for(int i=0;i<days;i++)//computes upto days
{
vector<int> result;
if(states[counter]==0)
{
temp=0;
list[i]=temp;
//states[i]=0;
result.push_back(temp);
}
else
{
temp=1;
list[i]=temp;
result.push_back(temp);
}
for(int j=1;j<size;j++)
{
if(j==size)
{
if(states[j-1]==0)
{
temp=0;
list[j]=temp;
//states[i]=1;
result.push_back(temp);
}
else
{
temp=1;
list[i]=temp;
//states[i]=1;
result.push_back(temp);
}
}
else if(states[j-1]==states[j+1])
{
temp=0;
list[j]=temp;
//states[i]=1;
result.push_back(temp);
}
else
{
temp=1;
list[j]=temp;
//states[i]=1;
result.push_back(temp);
}
}
result1=result;
for(int i=0;i<size;i++)
{
states[i]=list[i];
}
}
return result1;
}
这是 Java 解决方案，它将在任意数量的单元和任意天数内工作。
public class Solution
{
public List<Integer> cellCompete(int[] states, int days)
{
List<Integer> inputList = new ArrayList<Integer>();
List<Integer> finalList = new ArrayList<Integer>();
// Covert integer array as list
for (int i :states)
{
inputList.add(i);
}
// for loop for finding status after number of days.
for(int i=1; i<= days; i++)
{
if(i==1)
{
finalList = nextDayStatus(inputList);
}
else
{
finalList = nextDayStatus(finalList);
}
}
return finalList;
}
// find out status of next day, get return as list
public List<Integer> nextDayStatus(List<Integer> input)
{
List<Integer> output = new ArrayList<Integer>();
input.add(0,0);
input.add(0);
for(int i=0; i < input.size()-2; i++)
{
if (input.get(i) == input.get(i+2))
{
output.add(0);
}
else
{
output.add(1);
}
}
return output;
}
}
我知道这个问题已经得到解答，但我在 Java 中尝试了一下，并且非常确定它适用于任何大小的状态数组以及天数：
public class CellCompete {
public static List<Integer> cellCompete(int[] states, int days) {
List<Integer> resultList = new ArrayList<>();
int active = 1, inactive = 0;
int dayCount = 1;
// Execute for the given number of days
while (days > 0) {
int[] temp = new int[states.length];
System.out.print("Day " + dayCount + ": ");
// Iterate through the states array
for (int i = 0; i < states.length; i++) {
// Logic for first end cell
if (i == 0) {
temp[i] = states[i + 1] == active ? active : inactive;
resultList.add(temp[i]);
System.out.print(temp[i] + ", ");
}
// Logic for last end cell
if (i == states.length - 1) {
temp[i] = states[i - 1] == active ? active : inactive;
resultList.add(temp[i]);
System.out.println(temp[i]);
}
// Logic for the in between cells
if (i > 0 && i < states.length - 1) {
if ((states[i - 1] == active && states[i + 1] == active) || (states[i - 1] == inactive && states[i + 1] == inactive)) {
temp[i] = inactive;
} else {
temp[i] = active;
}
resultList.add(temp[i]);
System.out.print(temp[i] + ", ");
}
}
dayCount++;
days--;
// Reset the states array with the temp array
states = temp;
}
return resultList;
}
public static void main(String[] args) {
int[] states = {1, 1, 0, 1, 0, 1, 0, 0};
int days = 5;
// Total of 40
System.out.println(cellCompete(states, days) );
}
}
想要优化解决方案的人去了哪里？
def Solution(states, days):
for i in range(days):
for j in range(len(states)):
if (j == 0):
states[i] = states[1]
elif (j == len(states)-1):
states[i] = states[-2]
else:
states[i] = abs(states[i-1] - states[i+1])
return states
根据定义，所有单元格，包括不存在的单元格，实际上都是布尔值：
var cellUpdate =（单元格，天数）=> {
let result = [];
// update states
for(let i = 0; i < cells.length; i++) result.push((!Boolean(cells[i-1]) === !Boolean(cells[i+1])) ? 0 : 1) ;
// repeat for each day
if (days > 1) result = cellUpdate(result, days - 1);
return result;
这是最好的Python解决方案
value=input()
n=int(input())
lst=[]
for i in value:
if "1"in i:
lst.append(1)
elif "0" in i:
lst.append(0)
for _ in range(n):
store = []
for i in range(8):
if i==0:
store.append(lst[i+1])
elif i==7:
store.append(lst[i-1])
elif lst[i-1]==lst[i+1]:
store.append(0)
else:
store.append(1)
lst=store
print(store)
Scala 解决方案：
def cellDayCompete(cells: Seq[Int]): Seq[Int] = {
val addEdges = 0 +: cells :+ 0
(addEdges.dropRight(2) zip addEdges.drop(2)).map {
case (left, right) =>
(left - right).abs
}
}
def cellCompete(cells: Seq[Int], days: Int): Seq[Int] = {
if (days == 0) {
cells
} else {
cellCompete(cellDayCompete(cells), days - 1)
}
}
使用上述示例运行的代码可以在 Scastie
找到今天刚刚回答了这个问题，这是我在 python3 中的解决方案
def cellCompete(states, days):
for i in range(0, days):
#this is where we will hold all the flipped states
newStates = []
'''
Algo: if neigbors are the same, append 0 to newStates
if they are different append 1 to newStates
'''
for currState in range(len(states)):
#left and right ptr's
left = currState - 1
right = currState + 1
#if at beginning of states, left is automatically inactive
if left < 0:
if states[right] == 1:
newStates.append(1)
else:
newStates.append(0)
#if at end of states, right is automatically inactive
elif right > 7: #we know there is always only 8 elems in the states list
if states[left] == 1:
newStates.append(1)
else
newStates.append(0)
#check to see if neighbors are same or different
elif states[left] != states[right]:
newStates.append(1)
else:
newStates.append(0)
#Set the states equal to the new flipped states and have it loop N times to get final output.
states = newStates
return states
def cellCompete(states, days):
d = 0
l = len(states)
while d < days:
new_states = [0] * l
for i in range(l):
if i == 0 and states[i+1] == 0 or i == l - 1 and states[i-1] == 0:
new_states[i] = 0
elif i == 0 and states[i+1] == 1 or i == l - 1 and states[i-1] == 1:
new_states[i] = 1
elif states[i+1] == states[i-1]:
new_states[i] = 0
else:
new_states[i] = 1
states = new_states
d = d + 1
return states
Python 解决方案
for day in range(days):
new_state = []
for ind, state in enumerate(states):
if ind == 0:
if states[ind + 1]==0:
new_state.append(0)
else:
new_state.append(1)
elif ind == len(states) - 1:
if states[ind - 1]==0:
new_state.append(0)
else:
new_state.append(1)
else:
if (states[ind - 1]==1 and states [ind + 1]==1) or \
(states[ind - 1]==0 and states [ind + 1]==0):
new_state.append(0)
else:
new_state.append(1)
states = new_state
return new_state
static int[] CellCompete(int[] states, int days)
{
int e = states.Length;
int[] newStates = new int[(e+2)];
newStates[0] = 0;
newStates[e+1] = 0;
Array.Copy(states, 0, newStates, 1, e);
for (int d = 0; d < days; d++)
{
states = Enumerable.Range(1, e).Select(x => newStates[x - 1] ^ newStates[x + 1]).ToArray();
newStates[0] = 0;
newStates[e + 1] = 0;
Array.Copy(states, 0, newStates, 1, e);
}
return states;
}
//这是 C# 中此问题的有效解决方案
public class HousesinSeq
{
private string _result;
public string Result
{
get { return _result; }
}
public void HousesActivation(string houses, int noOfDays)
{
string[] housesArr = houses.Split(' ');
string[] resultArr = new string[housesArr.Length];
for (int i = 0; i < noOfDays; i++)
{
for (int j = 0; j < housesArr.Length; j++)
{
if (j == 0)
{
if (housesArr[j + 1] == "0")
{
resultArr[j] = "0";
}
else
{
resultArr[j] = "1";
}
}
else if (j == housesArr.Length - 1)
{
if (housesArr[j - 1] == "0")
{
resultArr[j] = "0";
}
else
{
resultArr[j] = "1";
}
}
else
{
if (housesArr[j + 1] == housesArr[j - 1])
{
resultArr[j] = "0";
}
else
{
resultArr[j] = "1";
}
}
}
resultArr.CopyTo(housesArr, 0);
}
foreach (var item in resultArr)
{
//Console.Write($"{item} ");
_result += item + " ";
}
_result = _result.Trim();
}
}
public class Colony {
public static int[] cellCompete(int[] cell, int day) {
int[] ar = new int[10];
for(int i=1; i<9; i++) {
ar[i] = cell[i-1];
}
while(day-- >0) {
int temp = 0;
for(int i=1; i<9; i++) {
if(Math.abs(temp-ar[i+1])==1) {
temp = ar[i];
ar[i] = 1;
}
else {
temp = ar[i];
ar[i] = 0;
}
}
}
return ar;
}
public static void main(String[] args) {
int[] cell = {1,0,1,1,0,1,0,1};
int day = 1;
cell = cellCompete(cell, day);
for(int i=1; i<9; i++) {
System.out.print(cell[i]+" ");
}
}
}