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31
leetcode/0063.Unique-Paths-II/63. Unique Paths II.go
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31
leetcode/0063.Unique-Paths-II/63. Unique Paths II.go
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package leetcode
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func uniquePathsWithObstacles(obstacleGrid [][]int) int {
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if len(obstacleGrid) == 0 || obstacleGrid[0][0] == 1 {
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return 0
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}
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m, n := len(obstacleGrid), len(obstacleGrid[0])
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dp := make([][]int, m)
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for i := 0; i < m; i++ {
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dp[i] = make([]int, n)
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}
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dp[0][0] = 1
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for i := 1; i < n; i++ {
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if dp[0][i-1] != 0 && obstacleGrid[0][i] != 1 {
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dp[0][i] = 1
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}
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}
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for i := 1; i < m; i++ {
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if dp[i-1][0] != 0 && obstacleGrid[i][0] != 1 {
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dp[i][0] = 1
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}
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}
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for i := 1; i < m; i++ {
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for j := 1; j < n; j++ {
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if obstacleGrid[i][j] != 1 {
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dp[i][j] = dp[i-1][j] + dp[i][j-1]
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}
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}
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}
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return dp[m-1][n-1]
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}
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64
leetcode/0063.Unique-Paths-II/63. Unique Paths II_test.go
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64
leetcode/0063.Unique-Paths-II/63. Unique Paths II_test.go
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package leetcode
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import (
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"fmt"
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"testing"
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)
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type question63 struct {
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para63
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ans63
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}
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// para 是参数
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// one 代表第一个参数
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type para63 struct {
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og [][]int
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}
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// ans 是答案
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// one 代表第一个答案
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type ans63 struct {
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one int
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}
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func Test_Problem63(t *testing.T) {
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qs := []question63{
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question63{
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para63{[][]int{
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[]int{0, 0, 0},
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[]int{0, 1, 0},
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[]int{0, 0, 0},
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}},
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ans63{2},
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},
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question63{
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para63{[][]int{
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[]int{0, 0},
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[]int{1, 1},
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[]int{0, 0},
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}},
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ans63{0},
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},
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question63{
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para63{[][]int{
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[]int{0, 1, 0, 0},
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[]int{1, 0, 0, 0},
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[]int{0, 0, 0, 0},
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}},
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ans63{0},
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},
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}
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fmt.Printf("------------------------Leetcode Problem 63------------------------\n")
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for _, q := range qs {
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_, p := q.ans63, q.para63
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fmt.Printf("【input】:%v 【output】:%v\n", p, uniquePathsWithObstacles(p.og))
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}
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fmt.Printf("\n\n\n")
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}
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42
leetcode/0063.Unique-Paths-II/README.md
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42
leetcode/0063.Unique-Paths-II/README.md
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# [63. Unique Paths II](https://leetcode.com/problems/unique-paths-ii/)
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## 题目
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A robot is located at the top-left corner of a *m* x *n* grid (marked 'Start' in the diagram below).
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The robot can only move either down or right at any point in time. The robot is trying to reach the bottom-right corner of the grid (marked 'Finish' in the diagram below).
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Now consider if some obstacles are added to the grids. How many unique paths would there be?
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An obstacle and empty space is marked as `1` and `0` respectively in the grid.
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**Note:** *m* and *n* will be at most 100.
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**Example 1:**
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Input:
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[
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[0,0,0],
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[0,1,0],
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[0,0,0]
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]
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Output: 2
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Explanation:
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There is one obstacle in the middle of the 3x3 grid above.
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There are two ways to reach the bottom-right corner:
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1. Right -> Right -> Down -> Down
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2. Down -> Down -> Right -> Right
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## 题目大意
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一个机器人位于一个 m x n 网格的左上角 (起始点在下图中标记为“Start” )。机器人每次只能向下或者向右移动一步。机器人试图达到网格的右下角(在下图中标记为“Finish”)。现在考虑网格中有障碍物。那么从左上角到右下角将会有多少条不同的路径?
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## 解题思路
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- 这一题是第 62 题的加强版。也是一道考察 DP 的简单题。
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- 这一题比第 62 题增加的条件是地图中会出现障碍物,障碍物的处理方法是 `dp[i][j]=0`。
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- 需要注意的一种情况是,起点就是障碍物,那么这种情况直接输出 0 。
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