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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 | |
[ | |
[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. |
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public class Solution { | |
public int minimumTotal(ArrayList<ArrayList<Integer>> triangle) { | |
if(triangle == null || triangle.size() == 0) return 0; | |
if(triangle.size() == 1) return triangle.get(0).get(0); | |
ArrayList<int[]> dp = new ArrayList<int[]>(); | |
for(int i = 0; i < triangle.size() - 1; i++){ | |
dp.add(new int[i + 1]); | |
} | |
return find(dp, 0, 0, triangle); | |
} | |
public int find(ArrayList<int[]> dp, int row, int colum, ArrayList<ArrayList<Integer>> triangle){ | |
if(row == triangle.size() - 1){ | |
return triangle.get(row).get(colum); | |
} | |
if(dp.get(row)[colum] == 0){ | |
dp.get(row)[colum] = triangle.get(row).get(colum) + | |
Math.min(find(dp, row + 1, colum, triangle), find(dp, row + 1, colum + 1, triangle)); | |
} | |
return dp.get(row)[colum]; | |
} | |
} |
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