func MinimumEntropyMatchSequence(password string, matches []match.Match) MinEntropyMatch {
	bruteforceCardinality := float64(entropy.CalcBruteForceCardinality(password))
	upToK := make([]float64, len(password))
	backPointers := make([]match.Match, len(password))

	for k := 0; k < len(password); k++ {
		upToK[k] = get(upToK, k-1) + math.Log2(bruteforceCardinality)

		for _, match := range matches {
			if match.J != k {
				continue
			}

			i, j := match.I, match.J
			//see if best entropy up to i-1 + entropy of match is less that current min at j
			upTo := get(upToK, i-1)
			candidateEntropy := upTo + match.Entropy

			if candidateEntropy < upToK[j] {
				upToK[j] = candidateEntropy
				match.Entropy = candidateEntropy
				backPointers[j] = match
			}
		}
	}

	//walk backwards and decode the best sequence
	var matchSequence []match.Match
	passwordLen := len(password)
	passwordLen--
	for k := passwordLen; k >= 0; {
		match := backPointers[k]
		if match.Pattern != "" {
			matchSequence = append(matchSequence, match)
			k = match.I - 1

		} else {
			k--
		}

	}
	sort.Sort(match.Matches(matchSequence))

	makeBruteForceMatch := func(i, j int) match.Match {
		return match.Match{Pattern: "bruteforce",
			I:       i,
			J:       j,
			Token:   password[i : j+1],
			Entropy: math.Log2(math.Pow(bruteforceCardinality, float64(j-i)))}

	}

	k := 0
	var matchSequenceCopy []match.Match
	for _, match := range matchSequence {
		i, j := match.I, match.J
		if i-k > 0 {
			matchSequenceCopy = append(matchSequenceCopy, makeBruteForceMatch(k, i-1))
		}
		k = j + 1
		matchSequenceCopy = append(matchSequenceCopy, match)
	}

	if k < len(password) {
		matchSequenceCopy = append(matchSequenceCopy, makeBruteForceMatch(k, len(password)-1))
	}
	var minEntropy float64
	if len(password) == 0 {
		minEntropy = float64(0)
	} else {
		minEntropy = upToK[len(password)-1]
	}

	crackTime := roundToXDigits(entropyToCrackTime(minEntropy), 3)
	return MinEntropyMatch{Password: password,
		Entropy:          roundToXDigits(minEntropy, 3),
		MatchSequence:    matchSequenceCopy,
		CrackTime:        crackTime,
		CrackTimeDisplay: displayTime(crackTime),
		Score:            crackTimeToScore(crackTime)}

}
func MinimumEntropyMatchSequence(password string, matches []match.Match) MinEntropyMatch {
	bruteforceCardinality := float64(entropy.CalcBruteForceCardinality(password))
	upToK := make([]float64, len(password))
	backPointers := make([]match.Match, len(password))

	for k := 0; k < len(password); k++ {
		upToK[k] = get(upToK, k-1) + math.Log2(bruteforceCardinality)

		for _, match := range matches {
			if match.J != k {
				continue
			}

			i, j := match.I, match.J
			//see if best entropy up to i-1 + entropy of match is less that current min at j
			upTo := get(upToK, i-1)
			candidateEntropy := upTo + match.Entropy

			if candidateEntropy < upToK[j] {
				upToK[j] = candidateEntropy
				match.Entropy = candidateEntropy
				backPointers[j] = match
			}
		}
	}

	//walk backwards and decode the best sequence
	var matchSequence []match.Match
	passwordLen := len(password)
	passwordLen--
	for k := passwordLen; k >= 0; {
		match := backPointers[k]
		if match.Pattern != "" {
			matchSequence = append(matchSequence, match)
			k = match.I - 1

		} else {
			k--
		}

	}
	sort.Sort(match.Matches(matchSequence))

	makeBruteForceMatch := func(i, j int) match.Match {
		return match.Match{Pattern: "bruteforce",
			I:       i,
			J:       j,
			Token:   password[i : j+1],
			Entropy: math.Log2(math.Pow(bruteforceCardinality, float64(j-i)))}

	}

	k := 0
	var matchSequenceCopy []match.Match
	for _, match := range matchSequence {
		i, j := match.I, match.J
		if i-k > 0 {
			matchSequenceCopy = append(matchSequenceCopy, makeBruteForceMatch(k, i-1))
		}
		k = j + 1
		matchSequenceCopy = append(matchSequenceCopy, match)
	}

	if k < len(password) {
		matchSequenceCopy = append(matchSequenceCopy, makeBruteForceMatch(k, len(password)-1))
	}
	var minEntropy float64
	if len(password) == 0 {
		minEntropy = float64(0)
	} else {
		minEntropy = upToK[len(password)-1]
	}

	crackTime := roundToXDigits(entropyToCrackTime(minEntropy), 3)
	return MinEntropyMatch{Password: password,
		Entropy:          roundToXDigits(minEntropy, 3),
		MatchSequence:    matchSequenceCopy,
		CrackTime:        crackTime,
		CrackTimeDisplay: displayTime(crackTime),
		Score:            crackTimeToScore(crackTime)}

}
/*
MinimumEntropyMatchSequence returns the minimum entropy

    Takes a list of overlapping matches, returns the non-overlapping sublist with
    minimum entropy. O(nm) dp alg for length-n password with m candidate matches.
*/