public static void main(String[] args) {

Solution120 s = new Solution120();

System.out.println(s.minimumTotal(Arrays.asList(

Arrays.asList( 2))));

System.out.println(s.minimumTotal(Arrays.asList(

Arrays.asList( 2),

Arrays.asList( 3,4))));

System.out.println(s.minimumTotal(Arrays.asList(

Arrays.asList( 2),

Arrays.asList( 3,4),

Arrays.asList( 6,5,7),

Arrays.asList(5,1,8,3))));

}

public int minimumTotal(List<List<Integer>> triangle) {

// d[i][j] = t[i][j] + Math.min( t[i-1][j], t[i-1][j-1])

int n = triangle.size();

int[][] d = new int[n][n];

d[0][0] = triangle.get(0).get(0);

for (int i = 1; i < triangle.size(); i++) {

List<Integer> su = triangle.get(i);

d[i][0] = su.get(0)+d[i-1][0];

int m = su.size()-1;

for (int j = 1; j < m; j++) {

d[i][j] = su.get(j)+Math.min(d[i-1][j-1],d[i-1][j]);

}

d[i][m] = su.get(m)+d[i-1][m-1];

}

// Collections.min(Arrays.asList(d[n-1]))

int r = Integer.MAX_VALUE;

for (int i : d[n - 1]) {

r = Math.min(r, i);

}

return r;

}