# Program to find position of first event number of line l of a triangle of numbers in Python

PythonServer Side ProgrammingProgramming

Suppose we are generating a number triangle like below

      1
1 1 1
1 2 3 2 1
1 3 6 7 6 3 1

where in each row the elements are generated by adding three numbers on top of it. Now if we have a line number l. We have to find the position of first even number of that line. The position values are starting from 1.

So, if the input is like l = 5, then the output will be 2

           1
1  1  1
1  2  3  2  1
1  3  6  7  6  3 1
1 4 10 16 19 16 10 4 1

To solve this, we will follow these steps −

• if l is same as 1 or l is same as 2, then
• return -1
• otherwise when l mod 2 is same as 0, then
• if l mod 4 is same as 0, then
• return 3
• otherwise,
• return 4
• otherwise,
• return 2

## Example

Let us see the following implementation to get better understanding −

def solve(l):
if l == 1 or l == 2 :
return -1
elif l % 2 == 0:
if l % 4 == 0:
return 3
else:
return 4
else:
return 2

l = 5
print(solve(l))

## Input

5

## Output

2
Updated on 25-Oct-2021 07:21:22