Prefix Sum
•
Add the prefixes of a sequence of
n
numbers,
x
1
, x
2
, …, x
n
.
That is, y
k
=
S
i
£
k
x
i
•
•
x
1
= 3
x
2
= 1
x
3
= 4
x
4
= 1
x
5
= 5
x
6
= 9
•
y
1
= 3
= 3
•
y
2
= 3+1
= 4
•
y
3
= 3+1+4
= 8
•
y
4
= 3+1+4+1
= 9
•
y
5
= 3+1+4+1+5
= 14
•
y
6
= 3+1+4+1+5+9
= 23