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SRM3 Dec 2009
Member SRM 478

KiwiJuiceEasy

Problem statement, definition, constraints, and public examples.

Problem Statement

Taro has prepared delicious kiwi fruit juice. He poured it into N bottles numbered from 0 to N-1. The capacity of the i-th bottle is capacities[i] liters, and he poured bottles[i] liters of kiwi juice into this bottle.

Now he wants to redistribute juice in the bottles. In order to do this, he will perform M operations numbered from 0 to M-1 in the order in which he will perform them. For the i-th operation, he will pour kiwi juice from bottle fromId[i] to bottle toId[i]. He will stop pouring when bottle fromId[i] becomes empty or bottle toId[i] becomes full, whichever happens earlier.

Return an int[] that contains exactly N elements and whose i-th element is the amount of kiwi juice in the i-th bottle after all pouring operations are finished.

Definition

Class:
KiwiJuiceEasy
Method:
thePouring
Parameters:
int[], int[], int[], int[]
Returns:
int[]
Method signature:
int[] thePouring(int[] capacities, int[] bottles, int[] fromId, int[] toId)
(be sure your method is public)

Constraints

  • capacities will contain between 2 and 50 elements, inclusive.
  • Each element of capacities will be between 1 and 1,000,000, inclusive.
  • capacities and bottles will contain the same number of elements.
  • For each i, bottles[i] will be between 0 and capacities[i], inclusive.
  • fromId will contain between 1 and 50 elements, inclusive.
  • fromId and toId will contain the same number of elements.
  • Each element of fromId and toId will be between 0 and N-1, inclusive, where N is the number of elements in capacities.
  • For each i, fromId[i] and toId[i] will be distinct.

Examples

  1. {20, 20}
    {5, 8}
    {0}
    {1}
    Returns: {0, 13 }
    He pours kiwi juice from bottle 0 to bottle 1. After pouring, bottle 0 will become empty and bottle 1 will contain 13 liters of kiwi juice.
  2. {10, 10}
    {5, 8}
    {0}
    {1}
    Returns: {3, 10 }
    He will stop pouring when bottle 1 becomes full.
  3. {30, 20, 10}
    {10, 5, 5}
    {0, 1, 2}
    {1, 2, 0}
    Returns: {10, 10, 0 }
  4. {14, 35, 86, 58, 25, 62}
    {6, 34, 27, 38, 9, 60}
    {1, 2, 4, 5, 3, 3, 1, 0}
    {0, 1, 2, 4, 2, 5, 3, 1}
    Returns: {0, 14, 65, 35, 25, 35 }
  5. {700000, 800000, 900000, 1000000}
    {478478, 478478, 478478, 478478}
    {2, 3, 2, 0, 1}
    {0, 1, 1, 3, 2}
    Returns: {0, 156956, 900000, 856956 }
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