An 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] = 21367If 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,
def solution(A)
that, given an 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] = 21367the function should return 356, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [0..400,000];
- each element of array A is an integer within the range [0..200,000].
Invalid result type, int expected, <class 'NoneType'> found.stdout:
num 0 21011 21123 21366 21013 21367 num 1 21123 21366 21013 21367 num 2 21366 21013 21367 num 3 21013 21367 num 4 21367 num 5
Invalid result type, int expected, <class 'NoneType'> found.stdout:
21011 21123 21366 21013 21367 21123 21366 21013 21367 21366 21013 21367 21013 21367 21367
Invalid result type, int expected, <class 'NoneType'> found.stdout:
2160
Invalid result type, int expected, <class 'NoneType'> found.stdout:
356
Invalid result type, int expected, <class 'NoneType'> found.stdout:
-2160 -2048 -1805 -2158 -1804 112 355 2 356 243 -110 244 -353 1 354 356
The following issues have been detected: timeout errors.
max profit is after global maximum and before global minimum
large value (99) followed by short V-pattern (values from [1..5]) repeated 100 times
large value (99) followed by short pattern (values from [1..6]) repeated 10K times
Killed. Hard limit reached: 6.000 sec.
chaotic sequence of 200K values from [100K..120K], then 200K values from [0..100K]
Killed. Hard limit reached: 8.000 sec.
chaotic sequence of 200K values from [1..200K]
Killed. Hard limit reached: 7.000 sec.