vector<int> GetAlternateDummies(vector<int> DoubleWrap, int NoOfVertices, int StabXPos[], int StabYPos[]);
int ChargeFusion(int Charge1, int Charge2);


//Decoder MWPM function, returning pairs of defects
vector<int> MatchingDecoder(bool StabilizersZ[], int L, vector<int> Distances, vector<int> Flips,  int StabXPos[], int StabYPos[]);

//Alternate MWPM function, returning alternatue pairs of defects going the other way around the MS
vector<int> DummyMatchingDecoder(bool ReducedZ[], int L, vector<int> WrappedAltDistances, vector<int> WrappedAltFlips, vector<int> RBdist, vector<int> RGdist, vector<int> DecoderPairs, int StabXPos[], int StabYPos[]);


//get numerical value from MWPM indicating parity of correction
int DecoderOutcome(vector<int> DecoderPairs, int L);
int DummyOutcome(vector<int> DecoderPairs, int L);

//Function gets matching weights of each correction and returns in a vector {original, alternate}
vector<int> GetMatchingWeights(vector<int> DecoderPairs, vector<int> DummyPairs);