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[Codility] Demo equilibrium inde

[Codility] Demo equilibrium inde

作者: sunlitamo | 来源:发表于2016-07-16 23:29 被阅读98次

    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 = 8 elements:
    A[0] = -1 A[1] = 3 A[2] = -4 A[3] = 5 A[4] = 1 A[5] = -6 A[6] = 2 A[7] = 1
    P = 1 is an equilibrium index of this array, because:
    A[0] = −1 = A[2] + A[3] + A[4] + A[5] + A[6] + A[7]

    P = 3 is an equilibrium index of this array, because:
    A[0] + A[1] + A[2] = −2 = A[4] + A[5] + A[6] + A[7]

    P = 7 is also an equilibrium index, because:
    A[0] + A[1] + A[2] + A[3] + A[4] + A[5] + A[6] = 0

    and there are no elements with indices greater than 7.
    P = 8 is not an equilibrium index, because it does not fulfill the condition 0 ≤ P < N.
    Write a function:
    int solution(int A[], int N);

    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.
    For example, given array A shown above, the function may return 1, 3 or 7, as explained above.
    Assume that:
    N is an integer within the range [0..100,000];
    each element of array A is an integer within the range [−2,147,483,648..2,147,483,647].

    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.


    public func solution(arr:[Int])->Int{
    
        guard arr.count > 0 else { return -1 }
        
        let count = arr.count
        
        var totalSum = 0
        var leftSum = 0
        var rightSum = 0
        
        for i in 0 ..< count { totalSum += arr[i]}
        
        for j in 0 ..< count {
            rightSum = totalSum - leftSum - arr[j]
            
            if leftSum == rightSum { return j }
            else { leftSum += arr[j] }
        }
        return -1
    }
    
    var arr = [-7,1,5,2,-4,3,0]
    
    solution(arr)
    

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