Maximum Subsequence Sum

Given a sequence of?K?integers {?N?1??,?N?2??, …,?N?K???}. A continuous subsequence is defined to be {?N?i??,?N?i+1??, …,?N?j???} where?1≤i≤j≤K. The Maximum Subsequence is the continuous subsequence which has the largest sum of its elements. For example, given sequence { -2, 11, -4, 13, -5, -2 }, its maximum subsequence is { 11, -4, 13 } with the largest sum being 20.
Now you are supposed to find the largest sum, together with the first and the last numbers of the maximum subsequence.