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__Sign Up__- Problem Statement
- Fox Ciel just returned home from her trip to New Fox City. She has brought a bunch of souvenirs. You are given their values in a vector <int> value. Now she wants to give each souvenir either to her mother or to her father. She would like to divide the souvenirs in a fair way. More precisely:
- The total number of souvenirs given to her mother must be the same as the total number of souvenirs given to her father.
- At the same time, the total value of souvenirs given to her mother must be the same as the total value of souvenirs given to her father.
- Return "Possible" if she can reach her goal, and "Impossible" otherwise.
- Definition
- Class:
- FoxAndSouvenirTheNext
- Method signature:
- string ableToSplit(vector <int> value)
- Limits
- Time limit (s):
- 2.000
- Memory limit (MB):
- 256
- Stack limit (MB):
- 256
- Constraints
- -
- value will contain between 1 and 50 elements, inclusive.
- -
- Each element in value will be between 1 and 50, inclusive.
- Examples
- 0)
- {1,2,3,4}
- Returns: "Possible"
- One valid solution is to give the souvenirs with values 1 and 4 to her mother and the other two to her father. Each parent receives two souvenirs, and as 1+4 = 2+3, the total value is also the same for both parents.
- 1)
- {1,1,1,3}
- Returns: "Impossible"
- There is no valid solution. Note that {1,1,1} and {3} is not a valid way to split the souvenirs: even though the total value is the same, the number of souvenirs is not.
- 2)
- {1,1,2,3,5,8}
- Returns: "Possible"
- We have 1+1+8 = 2+3+5.
- 3)
- {2,3,5,7,11,13}
- Returns: "Impossible"
- The sum of values is an odd number, so it is impossible.
- 4)
- {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48}
- Returns: "Possible"
- 5)
- {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50}
- Returns: "Impossible"

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