Can be coded in C++, Java, or Python
Given three integers, j j and k, a sequence sumto be the value of j + (i + 1) + (i+ 2) + (i+ 3) +... +j + (j= 1) + (j = 2) + (j = 3) +... + k (increment from i until it equals j then decrement from
J until it equals k). Given values j j, and k, calculate the sequence sum as described.
Sum all the values from ito jand back to k: 5+6+7+8+9+8+ 7 +6 = 56.
Function Description
Complete the function getSequenceSum in the editor below.
getSequenceSum has the following parameter(s):
inti, intj, int k: three integers
Return
long: the value of the sequence sum
Constraints
-10^8 ≤ i,j,k≤10^8
i,k≤j
v Input Format For Custom Testing
The first line contains an integer, i.
The next line contains an integer, .
The last line contains an integer, k.
v Sample Case 0
Sample Input 0
STDIN Function
Sample Output 0
24
Explanation 0
i=0
j=5
k=-1
0+1+2+3+4+5+4+3+2+1+0+-1=24
v Sample Case 1
STDIN: Function:
-5 -> i=-5
-1 -> j=-1
-3 -> k=-3
Sample Output 1:
-20
Explanation 1:
i=-5, j=-1, k=-3
-5+-4+-3+-2+-1+-2+-3=-20
Here is a Python implementation of the `getSequenceSum` function:
```python
def getSequenceSum(i, j, k):
if i <= j:
return sum(range(i, j+1)) + sum(range(j-1, k-1, -1))
else:
return sum(range(j, i+1)) + sum(range(i-1, k-1, -1))
```
And here is a Java implementation:
```java
public static long getSequenceSum(int i, int j, int k) {
if (i <= j) {
int sum1 = 0;
int sum2 = 0;
for (int num = i; num <= j; num++) {
sum1 += num;
}
for (int num = j-1; num >= k; num--) {
sum2 += num;
}
return sum1 + sum2;
} else {
int sum1 = 0;
int sum2 = 0;
for (int num = j; num <= i; num++) {
sum1 += num;
}
for (int num = i-1; num >= k; num--) {
sum2 += num;
}
return sum1 + sum2;
}
}
```
You can use either of these functions to calculate the sequence sum based on the given inputs.
To calculate the sequence sum as described, you can follow these steps:
1. Define a variable `sequenceSum` and set it to 0.
2. Start a loop with a variable `i`, ranging from `i` to `j` (inclusive).
3. Inside the loop, add `i` to `sequenceSum`.
4. Start another loop with a variable `k`, ranging from `j-1` to `k` (inclusive).
5. Inside this loop, add `k` to `sequenceSum`.
6. Return the value of `sequenceSum`.
Here's the code in Python:
```python
def getSequenceSum(i, j, k):
sequenceSum = 0
for seq in range(i, j+1):
sequenceSum += seq
for seq in range(j-1, k-1, -1):
sequenceSum += seq
return sequenceSum
```
You can call this function with your input values to get the sequence sum. For example:
```python
i = 0
j = 5
k = -1
result = getSequenceSum(i, j, k)
print(result) # Output: 24
```
```python
i = -5
j = -1
k = -3
result = getSequenceSum(i, j, k)
print(result) # Output: -20
```
The time complexity of the solution is O(n), where n is the absolute difference between `i` and `j`, plus the absolute difference between `j` and `k`.
To calculate the sequence sum, you need to iterate from the value of i to j and then back to k. Here's how you can do it in Python:
1. Start by defining the function `getSequenceSum` that takes three integers as input parameters: `i`, `j`, and `k`.
2. Initialize a variable `sequence_sum` to 0, which will store the sum of the sequence.
3. Use a `for` loop to iterate from `i` to `j` (inclusive). Add each value to `sequence_sum` in each iteration.
4. Then, use another `for` loop to iterate from `j-1` to `k` (inclusive). Add each value to `sequence_sum` in each iteration.
5. Finally, return the value of `sequence_sum`.
Here's the Python code for the `getSequenceSum` function:
```python
def getSequenceSum(i, j, k):
sequence_sum = 0
# Iterate from i to j
for num in range(i, j+1):
sequence_sum += num
# Iterate from j-1 to k
for num in range(j-1, k-1, -1):
sequence_sum += num
return sequence_sum
```
Now, you can use this function to calculate the sequence sum for different test cases. For example:
```python
# Test Case 1
i = 0
j = 5
k = -1
print(getSequenceSum(i, j, k)) # Output: 24
# Test Case 2
i = -5
j= -1
k= -3
print(getSequenceSum(i, j, k)) # Output: -20
```
You can replace the values of `i`, `j`, and `k` with the values provided in the input to get the correct sequence sum.