python – how do I perform the specific df operation?

this is my df

a = [1,3,4,5,6]
b = [5,3,7,8,9]
c = [0,7,34,6,87]
dd = pd.DataFrame({"a":a,"b":b,"c":c})

I need the output such that first row of the df remains the same, and for all subsequent rows the value in column b = value in column a + value in column b in the row just above + the value in column c

i.e. dd.iloc[1,1] will be 15 (i.e. 3+5+7)

dd.iloc[2,1] will be 53 (i.e. 4 + 15 + 34) plz note that it took new value of [1,1] i.e. 15 (instead of the old value which was 3)

dd.iloc[3,1] will be 64 (5 + 53 + 6). Again it took the updated value of [2,1] (i.e. 53 instead of 7)

expected output

>Solution :

Use:

from numba import jit

@jit(nopython=True)
def f(a,b,c):
    for i in range(1, a.shape[0]):
        b[i] = b[i-1] + a[i] + c[i]
    return b

dd['b'] = f(dd.a.to_numpy(), dd.b.to_numpy(), dd.c.to_numpy())
print (dd)

   a    b   c
0  1    5   0
1  3   15   7
2  4   53  34
3  5   64   6
4  6  157  87