Given an array of expenses where positive values represent surplus and negative values represent deficit, determine the maximum possible sum of alternating budget periods where the first period has a surplus, the second has a deficit, and this pattern continues.
Explanation: Step-by-step: Given the input array [3, -5, 7, -2, 4, -1], we start with a surplus of 3. Then we have a deficit period, so we subtract the sum of -5 and 7 from the current sum, which is -12. Adding -2 to the current sum results in -12 + -2 = -14. Subtracting 4 from the current sum results in -14 - 4 = -18. Finally, adding -1 to the current sum results in -18 + -1 = -19. However, we should have added 3 to the current sum initially, then subtracted -12, then added -2, then subtracted 4, and finally added -1. This results in 3 - 12 - 2 - 4 - 1 = -16.
Explanation: Step-by-step: Given the input array [5, -3, 8, -2, 1], we start with a surplus of 5. Then we have a deficit period, so we subtract -3 from the current sum, which is 5 + 3 = 8. Adding 8 to the current sum results in 8 + 8 = 16. Subtracting -2 from the current sum results in 16 + 2 = 18. Subtracting 1 from the current sum results in 18 - 1 = 17.
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