???? 前言

大家好呀,我是毛小悠,能够叫我二毛,在家中排行老二,是一名前端开发工程师。

本系列文章旨在通过练习来进步JavaScript的能力,一起欢快的做题吧。????????????

以下每道题,二毛我都有尝试做一遍。倡议限时训练,比方限定为半小时,如果半小时内想不进去,能够联合文章开端的参考答案来思考。

能够在下方评论区留言或者加我的微信:code\_maomao。期待你的到来。

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???? 题目1:最小门路单位

您会失去一个由随机数组成的正方形,如下所示:

var square = [    [1,2,3],    [4,8,2],    [1,5,3]];

您的工作是计算从左上角到给定坐标的最小总成本。您只能向右或向下挪动。

在下面的示例中,最小门路为:

var square = [    [1,2,3],    [_,_,2],    [_,_,3]];

总共给出11个。包含开始和完结地位。

留神:坐标标记为程度x和垂直y。

习题代码:

function minPath(grid, x, y) {    }

???? 题目2:二叉树遍历

给定二叉树的根节点(但不肯定是二叉搜寻树),编写三个函数,这些函数将按pre-order,order和post-order打印树。

节点具备以下属性:

var data; // A number or string.Node left; // Undefined if there is no left child.Node right; // Undefined if there is no right child.

一棵树的构造如下:

data Tree a = Nil | Node (Tree a) a (Tree a)

pre-order意味着咱们
1.)访问根。
2.)遍历左侧子树(左侧节点)
3.)遍历右侧子树(右侧节点)。

按order程序示意咱们
1.)遍历左侧子树(左侧节点)
2.)拜访根。
3.)遍历右侧子树(右侧节点)。

post-order订单意味着咱们
1.)遍历左侧子树(左侧节点)
2.)遍历右侧子树(右侧节点。)
3.)拜访根。

假如咱们有三个节点。

var a = new Node("A");var b = new Node("B");var c = new Node("C");a.left = b;a.right = c;

而后,preOrder(a)应该返回[“ A”,“ B”,C“]
inOrder(a)应该返回[” B“,” A“,” C“]
postOrder(a)应该返回[” B“, “ C”,A“]

如果咱们这样做会怎么?

var d = new Node("D");c.left = d;

preOrder(a)应该返回[“ A”,“ B”,“ C”,“ D”]
inOrder(a)应该返回[“ B”,“ A”,“ D”,“ C”]
postOrder(a)应该返回[“ B”,“ D”,“ C”,“ A”]

习题代码:

/*A Node has the following properties:var data; // A number or string.Node left; // Undefined if there is no left child.Node right; // Undefined if there is no right child.*/// 1.) Root node, 2.) traverse left subtree, 3.) traverse right subtree.function preOrder(node){}// 1.) Traverse left subtree, 2.) root node, 3.) traverse right subtree.function inOrder(node){}// 1.) Traverse left subtree, 2.) traverse right subtree, 3.) root node.function postOrder(node){}

答案

???? 题目1的答案

参考答案1:

function minPath(grid, x, y) {  const [X, Y] = [0, 1];  const row = new Array(x+1).fill(0);  for (let i = 0; i <= y; ++i) {    row[0] += grid[i][0];    for (let j = 1; j <= x; ++j) {      if (i === 0) {              }      if (i === 0) {        row[j] = row[j-1] + grid[i][j];        } else {        row[j] = Math.min(row[j-1], row[j]) + grid[i][j];      }    }  }  return row.pop();}

参考答案2:

function minPath(grid, x, y) {  grid = grid.map(row => row.slice());  let row, col;  for (row = y - 1; row >= 0; row--)    grid[row][x] += grid[row + 1][x];  for (col = x - 1; col >= 0; col--)    grid[y][col] += grid[y][col + 1];  for (row = y - 1; row >= 0; row--)    for (col = x - 1; col >= 0; col--)      grid[row][col] += Math.min(grid[row + 1][col], grid[row][col + 1]);  return grid[0][0];}

参考答案3:

const minPath = (() => {    const croppedCopy = (grid, x, y) => {    const copy = [];    for (let row = 0; row <= y; row++) {      copy.push(grid[row].slice(0, x + 1))    }    return copy;  };    const processGrid = (grid) => {        const maxRow = grid.length;    const maxCol = grid[0].length;      let row, col, current;        for (col = 1; col < maxCol; col++) {      grid[0][col] += grid[0][col - 1];    }        for (row = 1; row < maxRow; row++) {      grid[row][0] += grid[row - 1][0];    }        for (row = 1; row < maxRow; row++) {      for (col = 1; col < maxCol; col++) {        current = grid[row][col];        grid[row][col] = Math.min(current + grid[row - 1][col], current + grid[row][col - 1]);      }    }  };  return (grid, x, y) => {    grid = croppedCopy(grid, x, y);    processGrid(grid);    return grid[y][x];  };  })();

参考答案4:

function minPath(grid, x, y) {    const result = [...Array(grid.length).keys()].map(i => Array(grid.length).fill(0));    result[0][0] = grid[0][0];    for (let i = 1; i <= x; i++) {        result[0][i] = grid[0][i] + result[0][i - 1];    }    for (let i = 1; i <= y; i++) {        result[i][0] = grid[i][0] + result[i - 1][0];    }    for (let i = 1; i <= y; i++) {        for (let j = 1; j <= x; j++) {            result[i][j] = grid[i][j] + Math.min(result[i - 1][j], result[i][j - 1])        }    }    return result[y][x];}

参考答案5:

function minPath(grid, x, y) {  let minPaths = []  let i, j;  for (i = 0; i < grid.length; i++) {    minPaths.push([])    for (j = 0; j < grid[0].length; j++) {            if (i == 0 && j == 0) {        minPaths[i][j] = grid[i][j]      } else if (j == 0) {        minPaths[i][j] = minPaths[i-1][j] + grid[i][j]      } else if (i == 0){        minPaths[i][j] = minPaths[i][j-1] + grid[i][j]      } else {        minPaths[i][j] = Math.min(minPaths[i-1][j] + grid[i][j], minPaths[i][j-1] + grid[i][j])      }      if (i == y && j == x) {        break      }    }  }    return minPaths[y][x]}

???? 题目2的答案

参考答案1:

/*A Node has the following properties:var data; // A number or string.Node left; // Undefined if there is no left child.Node right; // Undefined if there is no right child.*/// 1.) Root node, 2.) traverse left subtree, 3.) traverse right subtree.function preOrder(node){  if (node == undefined) {    return [];  }  return [node.data].concat(preOrder(node.left)).concat(preOrder(node.right));}// 1.) Traverse left subtree, 2.) root node, 3.) traverse right subtree.function inOrder(node){  if (node == undefined) {    return [];  }  return inOrder(node.left).concat(node.data).concat(inOrder(node.right));}// 1.) Traverse left subtree, 2.) traverse right subtree, 3.) root node.function postOrder(node){  if (node == undefined) {    return [];  }  return postOrder(node.left).concat(postOrder(node.right)).concat([node.data]);}

参考答案2:

function preOrder(node) {  return node == null || node.data == null ? [] : [node.data].concat(preOrder(node.left)).concat(preOrder(node.right));}function inOrder(node) {  return node == null || node.data == null ? [] : inOrder(node.left).concat(node.data).concat(inOrder(node.right));}function postOrder(node) {  return node == null || node.data == null ? [] : postOrder(node.left).concat(postOrder(node.right)).concat(node.data);}

参考答案3:

/*A Node has the following properties:var data; // A number or string.Node left; // Undefined if there is no left child.Node right; // Undefined if there is no right child.*/function traversal(node, path, res){  return path.reduce(function(res, nodeName){    var subnode;    switch(nodeName) {      case 'root':        res.push(node.data);        break;      default:        subnode = node[nodeName];        if (subnode) {           traversal(subnode, path, res);        }    }    return res;  }, res)}// 1.) Root node, 2.) traverse left subtree, 3.) traverse right subtree.function preOrder(node){  return traversal(node, ['root', 'left', 'right'], []);}// 1.) Traverse left subtree, 2.) root node, 3.) traverse right subtree.function inOrder(node){  return traversal(node, ['left', 'root', 'right'], []);}// 1.) Traverse left subtree, 2.) traverse right subtree, 3.) root node.function postOrder(node){  return traversal(node, ['left', 'right', 'root'], []);}

参考答案4:

function Node(value) {  this.data = value;  this.left = null;  this.right = null;}function preOrder(node, values) {  values = values || [];  if (node) {    values.push(node.data);    values = preOrder(node.left, values);    values = preOrder(node.right, values);  }  return values;}function inOrder(node, values) {  values = values || [];  if (node) {    values = inOrder(node.left, values);    values.push(node.data);    values = inOrder(node.right, values);  }  return values;}function postOrder(node, values) {  values = values || [];  if (node) {    values = postOrder(node.left, values);    values = postOrder(node.right, values);    values.push(node.data);  }  return values;}

参考答案5:

const preOrder = n => n ? [n.data, ...preOrder(n.left), ...preOrder(n.right)] : [];const inOrder = n => n ? [...inOrder(n.left), n.data, ...inOrder(n.right)] : [];const postOrder = n => n ? [...postOrder(n.left), ...postOrder(n.right), n.data] : [];

????后序

本系列会定期更新的,题目会由浅到深的逐步提高。

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