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.
class Solution {
public int minimumTotal(List<List<Integer>> triangle) {
int n = triangle.size();
if (n == 0)
return 0;
List<Integer> last = triangle.get(n - 1);
for (int i = n - 2; i >= 0; i--) {
// Not destroying the rows of triangle
List<Integer> temp = new ArrayList<>(triangle.get(i));
for (int j = 0; j < temp.size(); j++)
// As seen from structure the adjacent elements are j and j+1
temp.set(j, temp.get(j) + Math.min(last.get(j), last.get(j + 1)));
last = temp;
}
return last.get(0);
}
}
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