Leetcode topic [array] -118 Yang Hui triangle

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Their thinking ：

                                     Yang hui triangle 

This question is actually a very meaningful one for me , Because all the algorithms come to the end , It may be that the abstract mathematical model is translated by using a certain computer language as a carrier , There is no difference between doing algorithm problems and doing math problems when reading . But who makes me bad at math ...
The specific analysis of the idea is as follows ：

1. Yang Hui triangle here can be considered as a two-dimensional array , Lines indicate the number of lines entered , Columns are the elements generated by each row , What you can know is that the number of lines is related to input , Each column contains elements equal to the number of columns it is in （ from 1 start ）
2. In the number of each column , The first and last numbers are 1（ The first column can be regarded as the first , And the last ）, The rest of the figures fi = fi-1 + fi-1
3. With the above analysis , Then the solution is ready

func yanghuiTriangle(numRows int) [][]int {
    res := make([][]int, numRows)
    for i := range  res {
        res[i] = make([]int, i+1)
        res[i][0] = 1
        res[i][i] = 1
        for j := 1; j < i; j++ {
            res[i][j] = res[i-1][j] + res[i-1][j-1]
        }
    }
    return res
}