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Pronic Numbers between a range
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Before seeing the program please follow the previous program check pronic number.
A number is said to be a pronic number if the number is the product of two consecutive integer numbers.
For example, if we consider the number 72, it is the product of two consecutive integers 8 and 9. Therefore, 72 is a pronic number.
Now, if we consider a number 16, it is the product of 2 and 8 or 4 and 4 but no one is the consecutive integers. Therefore, 16 is not a pronic number.
For this program, first, the ranges are taken as input. For each number between the ranges, a loop is executed from 1 to half of the number and if the number is the product of any two consecutive numbers then the number is displayed as output.
Algorithm
INPUT: The ranges
OUTPUT: Pronic numbers between the given ranges
PROCESS:
Step 1: [Taking the inputs]
Read m, n [The ranges]
Step 2: [Finding the pronic number]
For k=m to n repeat
For i=0 to k/2 repeat
If i×(i+1)=k then
Print k
[End of ‘if’]
[End of ‘for’ loop]
[End of ‘for’ loop]
Step 3: Stop.
Time Complexity:
for(j=m;j<=n;j++)----------------------------------------O(p)
{
if(j==0)------------------------------------------O(1)
printf("%d ",j);
//checking if the number is the product of
//two consecutive numbers
for(i=1;i<=j/2;i++)--------------------------O(j)
{
if(i*(i+1)==j)-----------------------O(1)
printf("%d ",j);
}
}
The time complexity of this program is O(p*j) where ‘p’ is the number between the ranges and ‘j’ is each number between the range that is to be checked for pronic number.
Space Complexity:
The space complexity of this program is O(1) as it requires a constant number of space to execute for any given range.
