@(leetcode)[数组|Google]
Problem
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[8] = {-1, 3, -4, 5, 1, -6, 2, 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 isO(N)
, beyond input storage (not counting the storage required for input arguments).
Elements of input arrays can be modified.
Code
#include <iostream>
#include <vector>
#include <cassert>
using namespace std;
int split(const vector<int>& nums) {
if(nums.size() <= 2) {
return -1;
}
int sum = 0;
for(int i = 0; i < nums.size(); ++i) {
sum += nums[i];
}
int current = nums[0];
for(int i = 1; i < nums.size(); ++i) {
if(current == (sum - current - nums[i]))
return i;
current += nums[i];
}
return -1;
}
void test() {
{
vector<int> nums = {-1, 3, -4, 5, 1, -6, 2, 1};
int res = split(nums);
cout << "split : " << res << endl;
assert(1 == res);
}
}
int main() {
test();
}