# Calculate the Sum of Pairs in Python

## The challenge

Given a list of integers and a single sum value, return the first two values (parse from the left please) in order of appearance that add up to form the sum.

```
sum_pairs([11, 3, 7, 5], 10)
# ^--^ 3 + 7 = 10
== [3, 7]
sum_pairs([4, 3, 2, 3, 4], 6)
# ^-----^ 4 + 2 = 6, indices: 0, 2 *
# ^-----^ 3 + 3 = 6, indices: 1, 3
# ^-----^ 2 + 4 = 6, indices: 2, 4
# * entire pair is earlier, and therefore is the correct answer
== [4, 2]
sum_pairs([0, 0, -2, 3], 2)
# there are no pairs of values that can be added to produce 2.
== None/nil/undefined (Based on the language)
sum_pairs([10, 5, 2, 3, 7, 5], 10)
# ^-----------^ 5 + 5 = 10, indices: 1, 5
# ^--^ 3 + 7 = 10, indices: 3, 4 *
# * entire pair is earlier, and therefore is the correct answer
== [3, 7]
```

Negative numbers and duplicate numbers can and will appear.

**NOTE:** There will also be lists tested of lengths upwards of 10,000,000 elements. Be sure your code doesn’t time out.

## The solution in Python code

Option 1:

```
def sum_pairs(lst, s):
cache = set()
for i in lst:
if s - i in cache:
return [s - i, i]
cache.add(i)
```

Option 2:

```
def sum_pairs(ints, s):
num_dic = {}
for num in ints:
if num in num_dic:
return [num_dic[num], num]
else:
num_dic[s - num] = num
```

Option 3:

```
def sum_pairs(ints, s):
seen=[]
for item in ints:
if s-item in seen: return [s-item, item]
if item not in seen: seen+=[item]
return None
```

## Test cases to validate our solution

```
l1= [1, 4, 8, 7, 3, 15]
l2= [1, -2, 3, 0, -6, 1]
l3= [20, -13, 40]
l4= [1, 2, 3, 4, 1, 0]
l5= [10, 5, 2, 3, 7, 5]
l6= [4, -2, 3, 3, 4]
l7= [0, 2, 0]
l8= [5, 9, 13, -3]
test.describe("Testing For Sum of Pairs")
test.expect(sum_pairs(l1, 8) == [1, 7], "Basic: %s should return [1, 7] for sum = 8" % l1)
test.expect(sum_pairs(l2, -6) == [0, -6], "Negatives: %s should return [0, -6] for sum = -6" % l2)
test.expect(sum_pairs(l3, -7) == None, "No Match: %s should return None for sum = -7" % l3)
test.expect(sum_pairs(l4, 2) == [1, 1], "First Match From Left: %s should return [1, 1] for sum = 2 " % l4)
test.expect(sum_pairs(l5, 10) == [3, 7], "First Match From Left REDUX!: %s should return [3, 7] for sum = 10 " % l5)
test.expect(sum_pairs(l6, 8) == [4, 4], "Duplicates: %s should return [4, 4] for sum = 8" % l6)
test.expect(sum_pairs(l7, 0) == [0, 0], "Zeroes: %s should return [0, 0] for sum = 0" % l7)
test.expect(sum_pairs(l8, 10) == [13, -3], "Subtraction: %s should return [13, -3] for sum = 10" % l8)
```