/**
     * init graph
     */
    private void init(int nVertices, int nEdges) {
        int nV = nVertices;
        if (nVertices < 1) {
            nV = 1;
        }

        checkVertices(nV);

        int nE = nVertices;
        if (nEdges <= nV) {
            nE = 2 * nE;
        }

        checkEdges(nE);
    }

    private void checkVertices() {

		bugLogIf(ctx, errInvalidArgument)
		return errInvalidArgument
	}

	nv := make(textproto.MIMEHeader, len(v))
	for k, kv := range v {
		// Canonicalize all headers, to remove any duplicates.
		nv[http.CanonicalHeaderKey(k)] = kv
	}

	// Save all supported headers.
	for _, supportedHeader := range supportedHeaders {
		value, ok := nv[http.CanonicalHeaderKey(supportedHeader)]
		if ok {

	CINC	NV, R2, R3                                       // ERROR "invalid condition"
	CINVW	AL, R2, R3                                       // ERROR "invalid condition"
	CINV	NV, R2, R3                                       // ERROR "invalid condition"
	CNEG	AL, R2, R3                                       // ERROR "invalid condition"

				err = msgp.WrapError(err, "Object")
				return
			}
		case "no":
			z.NumObjects, err = dc.ReadUint64()
			if err != nil {
				err = msgp.WrapError(err, "NumObjects")
				return
			}
		case "nv":
			z.NumVersions, err = dc.ReadUint64()
			if err != nil {
				err = msgp.WrapError(err, "NumVersions")
				return
			}
		case "bs":
			z.Bytes, err = dc.ReadUint64()
			if err != nil {

	ReplicationState ReplicationState `msg:"rs"` // Internal replication state to be passed back in ObjectInfo

	Data []byte `msg:"d,allownil"` // optionally carries object data

	NumVersions      int       `msg:"nv"`
	SuccessorModTime time.Time `msg:"smt"`

	Fresh bool `msg:"fr"` // indicates this is a first time call to write FileInfo.

	// Position of this version or object in a multi-object delete call,

	NumObjects        uint64        `json:"numObjects" msg:"no"`         // Number of objects rebalanced
	NumVersions       uint64        `json:"numVersions" msg:"nv"`        // Number of versions rebalanced
	Bytes             uint64        `json:"bytes" msg:"bs"`              // Number of bytes rebalanced
	Participating     bool          `json:"participating" msg:"par"`

			NumObjects:  st.NumObjects,
		}
	}
}

// tierStats holds per-tier stats of a remote tier.
type tierStats struct {
	TotalSize   uint64 `msg:"ts"`
	NumVersions int    `msg:"nv"`
	NumObjects  int    `msg:"no"`
}

func (ts tierStats) add(u tierStats) tierStats {
	return tierStats{
		TotalSize:   ts.TotalSize + u.TotalSize,
		NumVersions: ts.NumVersions + u.NumVersions,