Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below.
For example, given the following triangle
代码语言:javascript复制[
[2],
[3,4],
[6,5,7],
[4,1,8,3]
]
The minimum path sum from top to bottom is 11
(i.e., 2 3 5 1 = 11).
Note: Bonus point if you are able to do this using only O(n) extra space, where n is the total number of rows in the triangle.
数塔DP,没什么好说的。
代码语言:javascript复制class Solution {
public:
int minimumTotal(vector<vector<int>>& triangle) {
vector<vector<int>> dp=triangle;
for(int i=1;i<dp.size();i )
{
for(int j=0;j<dp[i].size();j )
{
vector<int> temp;
if(j!=0) temp.push_back(dp[i-1][j-1]);
if(j!=dp[i].size()-1) temp.push_back(dp[i-1][j]);
sort(temp.begin(),temp.end());
dp[i][j]=temp[0] dp[i][j];
}
}
sort(dp[dp.size()-1].begin(),dp[dp.size()-1].end());
return dp[dp.size()-1][0];
}
};