【LeetCode】118. Pascal's Triangle

Pascal's Triangle

Given numRows, generate the first numRows of Pascal's triangle.

For example, given numRows = 5,
Return

[
     [1],
    [1,1],
   [1,2,1],
  [1,3,3,1],
 [1,4,6,4,1]
]

 

按定義做。

每一層的第i個位置，等於上一層第i-1與第i個位置之和。

class Solution {
public:
    vector<vector<int> > generate(int numRows) {
        vector<vector<int> > ret;
        if(numRows == 0)
            return ret;
            
        vector<int> last(1,1);
        ret.push_back(last);
        for(int i = 2; i <= numRows; i ++)
        {// i_th level
            last.push_back(0);
            vector<int> cur = last;
            for(int j = 1; j < i; j ++)
            {
                cur[j] = last[j] + last[j-1];
            }
            ret.push_back(cur);
            last = cur;
        }
        return ret;
    }
};