Do not export internal threshold generator functions
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@@ -44,7 +44,7 @@ type ThresholdKeyGenerator struct {
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polynomialCoefficients []*big.Int
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}
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// Preferable way to construct the ThresholdKeyGenerator. No verification
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// Preferable way to construct the ThresholdKeyGenerator. No verification
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// is done on the input values. You need to be sure that nbits is big enough
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// and that Threshold > TotalNumberOfDecryptionServers / 2.
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// The plaintext space for the key will be Z_n.
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@@ -57,23 +57,23 @@ func GetThresholdKeyGenerator(nbits, TotalNumberOfDecryptionServers, Threshold i
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return ret
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}
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func (this *ThresholdKeyGenerator) GenerateSafePrimes() (*big.Int, *big.Int, error) {
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func (this *ThresholdKeyGenerator) generateSafePrimes() (*big.Int, *big.Int, error) {
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return GenerateSafePrimes(this.nbits, this.Random)
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}
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func (this *ThresholdKeyGenerator) InitPandP1() error {
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func (this *ThresholdKeyGenerator) initPandP1() error {
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var err error
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this.p, this.p1, err = this.GenerateSafePrimes()
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this.p, this.p1, err = this.generateSafePrimes()
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return err
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}
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func (this *ThresholdKeyGenerator) InitQandQ1() error {
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func (this *ThresholdKeyGenerator) initQandQ1() error {
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var err error
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this.q, this.q1, err = this.GenerateSafePrimes()
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this.q, this.q1, err = this.generateSafePrimes()
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return err
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}
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func (this *ThresholdKeyGenerator) InitShortcuts() {
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func (this *ThresholdKeyGenerator) initShortcuts() {
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this.n = new(big.Int).Mul(this.p, this.q)
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this.m = new(big.Int).Mul(this.p1, this.q1)
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this.nSquare = new(big.Int).Mul(this.n, this.n)
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@@ -81,7 +81,7 @@ func (this *ThresholdKeyGenerator) InitShortcuts() {
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}
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func (this *ThresholdKeyGenerator) ArePsAndQsGood() bool {
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func (this *ThresholdKeyGenerator) arePsAndQsGood() bool {
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if this.p.Cmp(this.q) == 0 {
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return false
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}
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@@ -94,21 +94,21 @@ func (this *ThresholdKeyGenerator) ArePsAndQsGood() bool {
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return true
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}
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func (this *ThresholdKeyGenerator) InitPsAndQs() error {
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if err := this.InitPandP1(); err != nil {
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func (this *ThresholdKeyGenerator) initPsAndQs() error {
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if err := this.initPandP1(); err != nil {
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return err
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}
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if err := this.InitQandQ1(); err != nil {
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if err := this.initQandQ1(); err != nil {
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return err
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}
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if !this.ArePsAndQsGood() {
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return this.InitPsAndQs()
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if !this.arePsAndQsGood() {
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return this.initPsAndQs()
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}
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return nil
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}
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// v generates a cyclic group of squares in Zn^2.
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func (this *ThresholdKeyGenerator) ComputeV() error {
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func (this *ThresholdKeyGenerator) computeV() error {
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var err error
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this.v, err = GetRandomGeneratorOfTheQuadraticResidue(this.nSquare, this.Random)
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return err
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@@ -138,18 +138,18 @@ func (this *ThresholdKeyGenerator) ComputeV() error {
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// z2 = m^-1 mod n
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//
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// x = a2*y2*z2 = 1 * m * [m^-1 mod n]
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func (this *ThresholdKeyGenerator) InitD() {
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func (this *ThresholdKeyGenerator) initD() {
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mInverse := new(big.Int).ModInverse(this.m, this.n)
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this.d = new(big.Int).Mul(mInverse, this.m)
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}
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func (this *ThresholdKeyGenerator) InitNumerialValues() error {
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if err := this.InitPsAndQs(); err != nil {
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func (this *ThresholdKeyGenerator) initNumerialValues() error {
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if err := this.initPsAndQs(); err != nil {
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return err
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}
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this.InitShortcuts()
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this.InitD()
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return this.ComputeV()
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this.initShortcuts()
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this.initD()
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return this.computeV()
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}
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// f(X) = a_0 X^0 + a_1 X^1 + ... + a_(w-1) X^(w-1)
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@@ -158,7 +158,7 @@ func (this *ThresholdKeyGenerator) InitNumerialValues() error {
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// `w` - threshold
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// `a_i` - random value from {0, ... nm - 1} for 0<i<w
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// `a_0` is always equal `d`
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func (this *ThresholdKeyGenerator) GenerateHidingPolynomial() error {
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func (this *ThresholdKeyGenerator) generateHidingPolynomial() error {
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this.polynomialCoefficients = make([]*big.Int, this.Threshold)
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this.polynomialCoefficients[0] = this.d
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var err error
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@@ -173,7 +173,7 @@ func (this *ThresholdKeyGenerator) GenerateHidingPolynomial() error {
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// The secred share of the i'th authority is `f(i)`, where `f` is
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// the polynomial we generated in `GenerateHidingPolynomial` function.
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func (this *ThresholdKeyGenerator) ComputeShare(index int) *big.Int {
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func (this *ThresholdKeyGenerator) computeShare(index int) *big.Int {
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share := big.NewInt(0)
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for i := 0; i < this.Threshold; i++ {
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a := this.polynomialCoefficients[i]
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@@ -184,15 +184,15 @@ func (this *ThresholdKeyGenerator) ComputeShare(index int) *big.Int {
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return new(big.Int).Mod(share, this.nm)
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}
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func (this *ThresholdKeyGenerator) CreateShares() []*big.Int {
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func (this *ThresholdKeyGenerator) createShares() []*big.Int {
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shares := make([]*big.Int, this.TotalNumberOfDecryptionServers)
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for i := 0; i < this.TotalNumberOfDecryptionServers; i++ {
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shares[i] = this.ComputeShare(i)
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shares[i] = this.computeShare(i)
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}
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return shares
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}
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func (this *ThresholdKeyGenerator) Delta() *big.Int {
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func (this *ThresholdKeyGenerator) delta() *big.Int {
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return Factorial(this.TotalNumberOfDecryptionServers)
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}
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@@ -205,9 +205,9 @@ func (this *ThresholdKeyGenerator) Delta() *big.Int {
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// `l` is the number of decryption servers
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// `s_i` is a secret share for server `i`.
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// Secret shares were previously generated in the `CrateShares` function.
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func (this *ThresholdKeyGenerator) CreateViArray(shares []*big.Int) (viArray []*big.Int) {
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func (this *ThresholdKeyGenerator) createViArray(shares []*big.Int) (viArray []*big.Int) {
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viArray = make([]*big.Int, len(shares))
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delta := this.Delta()
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delta := this.delta()
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for i, share := range shares {
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tmp := new(big.Int).Mul(share, delta)
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viArray[i] = new(big.Int).Exp(this.v, tmp, this.nSquare)
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@@ -215,7 +215,7 @@ func (this *ThresholdKeyGenerator) CreateViArray(shares []*big.Int) (viArray []*
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return viArray
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}
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func (this *ThresholdKeyGenerator) CreatePrivateKey(i int, share *big.Int, viArray []*big.Int) *ThresholdPrivateKey {
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func (this *ThresholdKeyGenerator) createPrivateKey(i int, share *big.Int, viArray []*big.Int) *ThresholdPrivateKey {
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ret := new(ThresholdPrivateKey)
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ret.N = this.n
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ret.G = new(big.Int).Add(ret.N, ONE)
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@@ -229,22 +229,22 @@ func (this *ThresholdKeyGenerator) CreatePrivateKey(i int, share *big.Int, viArr
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return ret
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}
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func (this *ThresholdKeyGenerator) CreatePrivateKeys() []*ThresholdPrivateKey {
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shares := this.CreateShares()
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viArray := this.CreateViArray(shares)
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func (this *ThresholdKeyGenerator) createPrivateKeys() []*ThresholdPrivateKey {
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shares := this.createShares()
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viArray := this.createViArray(shares)
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ret := make([]*ThresholdPrivateKey, this.TotalNumberOfDecryptionServers)
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for i := 0; i < this.TotalNumberOfDecryptionServers; i++ {
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ret[i] = this.CreatePrivateKey(i, shares[i], viArray)
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ret[i] = this.createPrivateKey(i, shares[i], viArray)
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}
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return ret
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}
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func (this *ThresholdKeyGenerator) Generate() ([]*ThresholdPrivateKey, error) {
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if err := this.InitNumerialValues(); err != nil {
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if err := this.initNumerialValues(); err != nil {
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return nil, err
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}
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if err := this.GenerateHidingPolynomial(); err != nil {
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if err := this.generateHidingPolynomial(); err != nil {
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return nil, err
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}
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return this.CreatePrivateKeys(), nil
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return this.createPrivateKeys(), nil
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}
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