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Jan 17th, 2019
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__Sign Up__- A zero-indexed array A consisting of N integers is given. An equilibrium index of this array is any integer P such that 0 ≤ P < N and the sum of elements of lower indices is equal to the sum of elements of higher indices, i.e.
- A[0] + A[1] + ... + A[P−1] = A[P+1] + ... + A[N−2] + A[N−1].
- Sum of zero elements is assumed to be equal to 0. This can happen if P = 0 or if P = N−1.
- For example, consider the following array A consisting of N = 7 elements:
- A[0] = -7 A[1] = 1 A[2] = 5
- A[3] = 2 A[4] = -4 A[5] = 3
- A[6] = 0
- P = 3 is an equilibrium index of this array, because:
- A[0] + A[1] + A[2] = A[4] + A[5] + A[6]
- P = 6 is also an equilibrium index, because:
- A[0] + A[1] + A[2] + A[3] + A[4] + A[5] = 0
- and there are no elements with indices greater than 6.
- P = 7 is not an equilibrium index, because it does not fulfill the condition 0 ≤ P < N.
- Write a function
- class Solution { public int equi(int[] A); }
- that, given a zero-indexed array A consisting of N integers, returns any of its equilibrium indices. The function should return −1 if no equilibrium index exists.
- Assume that:
- N is an integer within the range [0..10,000,000];
- each element of array A is an integer within the range [−2,147,483,648..2,147,483,647].
- For example, given array A such that
- A[0] = -7 A[1] = 1 A[2] = 5
- A[3] = 2 A[4] = -4 A[5] = 3
- A[6] = 0
- the function may return 3 or 6, as explained above.
- Complexity:
- expected worst-case time complexity is O(N);
- expected worst-case space complexity is O(N), beyond input storage (not counting the storage required for input arguments).
- Elements of input arrays can be modified.

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