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).
class Solution {
public int minimumTotal(List<List<Integer>> triangle) {
List<Integer> lastRowList = triangle.get(triangle.size() - 1);
int[] dp = new int[lastRowList.size() + 1];
for (int i = triangle.size() - 1; i >= 0; i--) {
for (int j = 0; j < triangle.get(i).size(); j++) {
dp[j] = Math.min(dp[j], dp[j + 1]) + triangle.get(i).get(j);
}
}
return dp[0];
}
}
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