Package g0801_0900.s0879_profitable_schemes

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    879 - Profitable Schemes.

    Hard

    There is a group of n members, and a list of various crimes they could commit. The <code>i<sup>th</sup></code> crime generates a profit[i] and requires group[i] members to participate in it. If a member participates in one crime, that member can't participate in another crime.

    Let's call a profitable scheme any subset of these crimes that generates at least minProfit profit, and the total number of members participating in that subset of crimes is at most n.

    Return the number of schemes that can be chosen. Since the answer may be very large, return it modulo <code>10<sup>9</sup> + 7</code>.

    Example 1:

    Input: n = 5, minProfit = 3, group = 2,2, profit = 2,3

    Output: 2

    Explanation: To make a profit of at least 3, the group could either commit crimes 0 and 1, or just crime 1. In total, there are 2 schemes.

    Example 2:

    Input: n = 10, minProfit = 5, group = 2,3,5, profit = 6,7,8

    Output: 7

    Explanation: To make a profit of at least 5, the group could commit any crimes, as long as they commit one. There are 7 possible schemes: (0), (1), (2), (0,1), (0,2), (1,2), and (0,1,2).

    Constraints:

    • 1 &lt;= n &lt;= 100

    • 0 &lt;= minProfit &lt;= 100

    • 1 &lt;= group.length &lt;= 100

    • 1 &lt;= group[i] &lt;= 100

    • profit.length == group.length

    • 0 &lt;= profit[i] &lt;= 100

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Integer profitableSchemes(Integer n, Integer minProfit, IntArray group, IntArray profit)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait