# Python Bisect: Find a triplet in an array such that the sum is closest to a given number

## Python Bisect: Exercise-8 with Solution

Write a Python program to find a triplet in an array such that the sum is closest to a given number. Return the sum of the three integers.

**Sample Solution**:

**Python Code:**

```
#Source: https://bit.ly/2SRefdb
from bisect import bisect, bisect_left
class Solution:
def threeSumClosest(self, nums, target):
"""
:type nums: List[int]
:type target: int
:rtype: int
"""
nums = sorted(nums)
# Let top[i] be the sum of largest i numbers.
top = [
0,
nums[-1],
nums[-1] + nums[-2]
]
min_diff = float('inf')
three_sum = 0
# Find range of the least number in curr_n (0, 1, 2 or 3)
# numbers that sum up to curr_target, then find range of
# 2nd least number and so on by recursion.
def closest(curr_target, curr_n, lo=0):
if curr_n == 0:
nonlocal min_diff, three_sum
if abs(curr_target) < min_diff:
min_diff = abs(curr_target)
three_sum = target - curr_target
return
next_n = curr_n - 1
max_i = len(nums) - curr_n
max_i = bisect(
nums, curr_target // curr_n,
lo, max_i)
min_i = bisect_left(
nums, curr_target - top[next_n],
lo, max_i) - 1
min_i = max(min_i, lo)
for i in range(min_i, max_i + 1):
if min_diff == 0:
return
if i == min_i or nums[i] != nums[i - 1]:
next_target = curr_target - nums[i]
closest(next_target, next_n, i + 1)
closest(target, 3)
return three_sum
s = Solution()
nums = [1, 2, 3, 4, 5, -6]
target = 14
result = s.threeSumClosest(nums, target)
print("\nArray values & target value:",nums,"&",target)
print("Sum of the integers closest to target:", result)
nums = [1, 2, 3, 4, -5, -6]
target = 5
result = s.threeSumClosest(nums, target)
print("\nArray values & target value:",nums,"&",target)
print("Sum of the integers closest to target:", result)
```

Sample Output:

Array values & target value: [1, 2, 3, 4, 5, -6] & 14 Sum of the integers closest to target: 12 Array values & target value: [1, 2, 3, 4, -5, -6] & 5 Sum of the integers closest to target: 6

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**Next:**Write a Python program to find four elements from a given array of integers whose sum is equal to a given number. The solution set must not contain duplicate quadruplets.

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