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更新 0063.不同路径II增加空间优化版本c++代码
0063.不同路径II,L159-190 增加空间优化版本c++代码
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@ -155,6 +155,39 @@ public:
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* 时间复杂度:$O(n × m)$,n、m 分别为obstacleGrid 长度和宽度
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* 空间复杂度:$O(n × m)$
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同样我们给出空间优化版本:
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```CPP
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class Solution {
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public:
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int uniquePathsWithObstacles(vector<vector<int>>& obstacleGrid) {
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if (obstacleGrid[0][0] == 1)
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return 0;
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vector<int> dp(obstacleGrid[0].size());
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for (int j = 0; j < dp.size(); ++j)
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if (obstacleGrid[0][j] == 1)
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dp[j] = 0;
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else if (j == 0)
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dp[j] = 1;
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else
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dp[j] = dp[j-1];
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for (int i = 1; i < obstacleGrid.size(); ++i)
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for (int j = 0; j < dp.size(); ++j){
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if (obstacleGrid[i][j] == 1)
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dp[j] = 0;
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else if (j != 0)
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dp[j] = dp[j] + dp[j-1];
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}
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return dp.back();
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}
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};
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```
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* 时间复杂度:$O(n × m)$,n、m 分别为obstacleGrid 长度和宽度
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* 空间复杂度:$O(m)$
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## 总结
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本题是[62.不同路径](https://programmercarl.com/0062.不同路径.html)的障碍版,整体思路大体一致。
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