Skip to main content

Table 4 Probability distribution of the configurations \((O,C,O_c,C_c)\) (as used by the open-closed minimizer from Sect. "The open-closed minimizer") for \(w=5\), \(k=11\), and \(s=6\)

From: The open-closed mod-minimizer algorithm

\((O,C,O_c,C_c)\)

\(\mathbb {P}\{\text {context has configuration } (O,C,O_c,C_c)\}\)

\(\mathbb {P}\{\text {context is charged }\}\)

(1, 0, 0, 0)

\(1.9481 \times 10^{-1}\)

0

(1, 0, 1, 0)

\(1.2987 \times 10^{-2}\)

1

(2, 0, 0, 0)

\(1.2987 \times 10^{-2}\)

0

(2, 0, 1, 0)

\(7.9004 \times 10^{-2}\)

0.5

(2, 0, 2, 0)

\(2.4351 \times 10^{-2}\)

1

(1, 1, 0, 0)

\(9.7763 \times 10^{-2}\)

0

(1, 1, 1, 0)

\(7.0346 \times 10^{-2}\)

1

(1, 1, 0, 1)

\(1.3139 \times 10^{-1}\)

0

(1, 1, 1, 1)

\(2.6948 \times 10^{-2}\)

1

(2, 1, 1, 0)

\(9.0488 \times 10^{-3}\)

0.5

(2, 1, 2, 0)

\(5.6818 \times 10^{-3}\)

1

(2, 1, 0, 1)

\(4.9784 \times 10^{-3}\)

0

(2, 1, 1, 1)

\(1.3853 \times 10^{-2}\)

0.5

(0, 2, 0, 0)

\(2.8860 \times 10^{-2}\)

0

(0, 2, 0, 1)

\(1.5584 \times 10^{-2}\)

0.5

(1, 2, 0, 0)

\(1.8909 \times 10^{-2}\)

0

(1, 2, 1, 0)

\(2.0202 \times 10^{-2}\)

1

(1, 2, 0, 1)

\(4.8641 \times 10^{-2}\)

0

(1, 2, 1, 1)

\(3.1764 \times 10^{-2}\)

1

(1, 2, 0, 2)

\(1.5079 \times 10^{-2}\)

0

(2, 2, 2, 0)

\(2.7056 \times 10^{-4}\)

1

(2, 2, 1, 1)

\(1.7977 \times 10^{-3}\)

0.5

(2, 2, 0, 2)

\(5.5315 \times 10^{-4}\)

0

(0, 3, 0, 0)

\(2.6726 \times 10^{-2}\)

0

(0, 3, 0, 1)

\(4.2544 \times 10^{-2}\)

0.33

(0, 3, 0, 2)

\(4.9964 \times 10^{-3}\)

0.67

(1, 3, 0, 0)

\(1.7436 \times 10^{-3}\)

0

(1, 3, 1, 0)

\(1.5332 \times 10^{-3}\)

1

(1, 3, 0, 1)

\(9.0308 \times 10^{-3}\)

0

(1, 3, 1, 1)

\(4.9964 \times 10^{-3}\)

1

(1, 3, 0, 2)

\(6.5055 \times 10^{-3}\)

0

(0, 4, 0, 0)

\(3.3069 \times 10^{-3}\)

0

(0, 4, 0, 1)

\(1.8025 \times 10^{-2}\)

0.25

(0, 4, 0, 2)

\(8.1530 \times 10^{-3}\)

0.5

(1, 4, 1, 0)

\(6.0125 \times 10^{-5}\)

1

(1, 4, 0, 1)

\(8.1169 \times 10^{-4}\)

0

(1, 4, 1, 1)

\(1.8038 \times 10^{-4}\)

1

(1, 4, 0, 2)

\(1.1604 \times 10^{-3}\)

0

(0, 5, 0, 1)

\(1.7256 \times 10^{-3}\)

0.2

(0, 5, 0, 2)

\(2.4110 \times 10^{-3}\)

0.4

(1, 5, 1, 1)

\(6.0125 \times 10^{-6}\)

1

(1, 5, 0, 2)

\(9.0188 \times 10^{-5}\)

0

(0, 6, 0, 2)

\(1.9240 \times 10^{-4}\)

0.33

  1. In this case, the computed density is 0.2864