Triangle
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.
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.
public class Solution { public int minimumTotal(ArrayList<ArrayList<Integer>> triangle) { // Start typing your Java solution below // DO NOT write main() function if(triangle==null || triangle.size()==0) return 0; ArrayList<Integer> res = new ArrayList<Integer>(); for(int i=0;i<triangle.size();i++){ ArrayList<Integer> temp = triangle.get(i); res.add(0,i>0?temp.get(0)+res.get(0):temp.get(0)); for(int j=1;j<res.size()-1;j++){ res.set(j,Math.min(res.get(j),res.get(j+1))+temp.get(j)); } if(res.size()>1) res.set(res.size()-1,res.get(res.size()-1)+temp.get(res.size()-1)); } int min=Integer.MAX_VALUE; for(Integer temp:res){ min=Math.min(temp,min); } return min; } }
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