Problem 59741. Pivot index
Let L be a vector of numbers. We are searching for the index n of the pivot element defined as follows: the dot product of the elements in the sub-vector to the left by their distance to the pivot element is equal to the dot product of the elements in the sub-vector to the right by their distance to the pivot element.
Example 1:
If L = [6,1,10,5,4], then n = 3 since :
- Left sub-vector: L(1:n-1) = [6,1] and distances = [2,1] so dot product =
- Right sub-vector: L(n+1:end) = [5,4] and distances = [1,2] so dot product =
Example 2:
If L = [10,3,3,2,1], then n = 2 since :
- Left sub-vector: L(1:n-1) = [10] and distances = [1] so dot product =
- Right sub-vector: L(n+1:end) = [3,2,1] and distances = [1,2,3] so dot product =
Solution Stats
Solution Comments
Show commentsProblem Recent Solvers9
Suggested Problems
-
Find the sum of all the numbers of the input vector
49351 Solvers
-
433 Solvers
-
1160 Solvers
-
Who is the smartest MATLAB programmer?
753 Solvers
-
792 Solvers
More from this Author53
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!