# MaxProfit

For every item, first calculate the new profit and set it if it is bigger, and then simply check the new minimum.

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function solution(A) { var min = A[0], profit = 0; for( var i = 1; i < A.length; i++ ){ profit = Math.max( profit, A[i] - min ); min = Math.min( min, A[i] ); } return profit; } |

A zero-indexed array A consisting of N integers is given. It contains daily prices of a stock share for a period of N consecutive days. If a single share was bought on day P and sold on day Q, where 0 ≤ P ≤ Q < N, then the profit of such transaction is equal to A[Q] − A[P], provided that A[Q] ≥ A[P]. Otherwise, the transaction brings loss of A[P] − A[Q].

For example, consider the following array A consisting of six elements such that:

A[0] = 23171

A[1] = 21011

A[2] = 21123

A[3] = 21366

A[4] = 21013

A[5] = 21367

If a share was bought on day 0 and sold on day 2, a loss of 2048 would occur because A[2] − A[0] = 21123 − 23171 = −2048. If a share was bought on day 4 and sold on day 5, a profit of 354 would occur because A[5] − A[4] = 21367 − 21013 = 354. Maximum possible profit was 356. It would occur if a share was bought on day 1 and sold on day 5.

Write a function,

function solution(A);

that, given a zero-indexed array A consisting of N integers containing daily prices of a stock share for a period of N consecutive days, returns the maximum possible profit from one transaction during this period. The function should return 0 if it was impossible to gain any profit.

For example, given array A consisting of six elements such that:

A[0] = 23171

A[1] = 21011

A[2] = 21123

A[3] = 21366

A[4] = 21013

A[5] = 21367

the function should return 356, as explained above.

Assume that:

N is an integer within the range [0..400,000];

each element of array A is an integer within the range [0..200,000].

Complexity:

expected worst-case time complexity is O(N);

expected worst-case space complexity is O(1), beyond input storage (not counting the storage required for input arguments).

Elements of input arrays can be modified.