# We examine here the complexity of the InCircle predicate. To do this, we use
# the expressions for S0 and S1 obtained in the Maple sheet matrix_expressions, and
# proceed to compute the predicate for all possible non-trivial cases. This means that
# we consider cases with one point under the action of some of the translations JkkiTUc2IjYjSSJrR0Yk that
# amounts to 7 cases, and all cases with two points under the action of some of the JkkiTUc2IjYjSSJrR0Yk which amounts to 28 cases, and also cases with three points under the action of some
# JkkiTUc2IjYjSSJrR0Yk , which amount to 84 cases.
JSFH
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
JSFH
# We are defining here the formula for the InCircle predicate. We are using a modified version (expansion along the sums of squares) that allows Maple to work a little bit faster.
QyQ+SSdvcmllbnRHNiJmKjYlSSJwR0YlSSJxR0YlSSJyR0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUtJkkuTGluZWFyQWxnZWJyYUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjSSxEZXRlcm1pbmFudEdGJTYjLUknTWF0cml4R0YxNiM3JTclJjkkNiQiIiJGPyZGPTYkIiIjRj9GPzclJjklRj4mRkVGQUY/NyUmOSZGPiZGSUZBRj9GJUYlRiVGPw==
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSdvcmllbnRHRihmKjYlSSJwR0YoSSJxR0YoSSJyR0YoRig2JEkpb3BlcmF0b3JHRihJJmFycm93R0YoRigtJkkuTGluZWFyQWxnZWJyYUdGJTYjSSxEZXRlcm1pbmFudEdGKDYjLUknTWF0cml4R0YlNiM3JTclJjkkNiQiIiJGRCZGQjYkIiIjRkRGRDclJjklRkMmRkpGRkZENyUmOSZGQyZGTkZGRkRGKEYoRig3I0Yu
PkkpaW5jaXJjbGVHNiJmKjYmSSJwR0YkSSJxR0YkSSJyR0YkSSJzR0YkRiQ2JEkpb3BlcmF0b3JHRiRJJmFycm93R0YkRiQsKiomLCYqJCY5JDYkIiIiRjUiIiNGNSokJkYzNiRGNkY1RjZGNUY1LUknb3JpZW50R0YkNiU5JTkmOSdGNUY1KiYsJiokJkY9RjRGNkY1KiQmRj1GOUY2RjVGNS1GOzYlRjNGPkY/RjUhIiIqJiwmKiQmRj5GNEY2RjUqJCZGPkY5RjZGNUY1LUY7NiVGM0Y9Rj9GNUY1KiYsJiokJkY/RjRGNkY1KiQmRj9GOUY2RjVGNS1GOzYlRjNGPUY+RjVGSEYkRiRGJA==
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSlpbmNpcmNsZUdGKGYqNiZJInBHRihJInFHRihJInJHRihJInNHRihGKDYkSSlvcGVyYXRvckdGKEkmYXJyb3dHRihGKCwqKiYsJiokJjkkNiQiIiJGPiIiI0Y+KiQmRjw2JEY/Rj5GP0Y+Rj4tSSdvcmllbnRHRig2JTklOSY5J0Y+Rj4qJiwmKiQmRkZGPUY/Rj4qJCZGRkZCRj9GPkY+LUZENiVGPEZHRkhGPiEiIiomLCYqJCZGR0Y9Rj9GPiokJkZHRkJGP0Y+Rj4tRkQ2JUY8RkZGSEY+Rj4qJiwmKiQmRkhGPUY/Rj4qJCZGSEZCRj9GPkY+LUZENiVGPEZGRkdGPkZRRihGKEYoNyNGLg==
# We reuse the relations for the powers of \316\276 -- powers are going to be formed again and we want to simplify them.
PkklZXFuc0c2IjwtLyokSSN4aUdGJCIiIywmIiIiRistSSVzcXJ0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YkNiNGKUYrLyokRigiIiQqJkYoRitGKkYrLyokRigiIiUsJkY0RitGLEYpLyokRigiIiYqJkYoRitGOUYrLyokRigiIicsJiIiKEYrRixGPC8qJEYoRkIqJkYoRitGQUYrLyokRigiIiksJiIjPEYrRiwiIzcvKiRGKCIiKiomRihGK0ZJRisvKiRGKCIjNSwmIiNURitGLCIjSC8qJEYoIiM2KiZGKEYrRlNGKy8qJEYoRkssJiIjKipGK0YsIiNx
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVlcW5zR0YoPC0vKiRJI3hpR0YoIiIjLCYiIiJGNCokRjIjRjRGMkY0LyokRjEiIiQqJkYxRjRGM0Y0LyokRjEiIiUsJkY5RjRGNUYyLyokRjEiIiYqJkYxRjRGPkY0LyokRjEiIicsJiIiKEY0RjVGQS8qJEYxRkcqJkYxRjRGRkY0LyokRjEiIiksJiIjPEY0RjUiIzcvKiRGMSIiKiomRjFGNEZORjQvKiRGMSIjNSwmIiNURjRGNSIjSC8qJEYxIiM2KiZGMUY0RlhGNC8qJEYxRlAsJiIjKipGNEY1IiNxNyNGLg==
JSFH
# We also define a procedure that will help us examine the degrees of the resulting
# expressions. We have verified empirically that the expressions for the predicates
# can be brought into the form
# LCgqJiwmKiZJIkZHNiIiIiItSSVzcXJ0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YnNiMiIiNGKEYoSSJHR0YnRihGKEkjeGlHRidGKEYoKiZJIkhHRidGKEYpRihGKEkiSkdGJ0Yo
# where NiZJIkZHNiJJIkdHRiRJIkhHRiRJIkpHRiQ= are polynomials in the input quantities NiUmSSJ4RzYiNiNJJ2xhbWJkYUdGJSZJInlHRiVGJi1JI2luRyUqcHJvdGVjdGVkRzYkRic8JUkiaUdGJUkiakdGJUkia0dGJQ== .
# This procedure finds the expressions NiZJIkZHNiJJIkdHRiRJIkhHRiRJIkpHRiQ= and examines their degrees. It also
# finds the gcd(F, gcd(G, gcd(H, J))) to see if there is a common factor that would
# potentially reduce the degree of the expression.
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
JSFH
JSFH
# We examine now the form of the InCircle predicate when only one point is outside LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiREYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRIk9GJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSIuRicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZILyUpc3RyZXRjaHlHRkgvJSpzeW1tZXRyaWNHRkgvJShsYXJnZW9wR0ZILyUubW92YWJsZWxpbWl0c0dGSC8lJ2FjY2VudEdGSC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlcvJStleGVjdXRhYmxlR0ZIRkQ=
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
JSFH
# Get the results for S0 and S1
QyQ+SSVSMVMwRzYiLUkoZXZhbG9uZUdGJTYjSSNTMEdGJSEiIg==
QyQ+SSVSMVMxRzYiLUkoZXZhbG9uZUdGJTYjSSNTMUdGJSEiIg==
JSFH
# Let us now examine the denominators of the resulting expressions.
PyhJI2l0RzYiIiIiRiUiIihJJXRydWVHJSpwcm90ZWN0ZWRHLUkmcHJpbnRHRig2Iy1JJmRlbm9tR0YoNiMmSSVSMVMwR0YkNiRGI0Yl
KiQsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYq
KiQsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiU=
KiQsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRio=
KiQsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRio=
KiQsMCokJkkieEc2IjYjSSJpR0YnIiIjIiIlKiQmSSJ5R0YnRihGKkYrKiZGJUYqRiojIiIiRipGKiomRi1GKkYqRjBGKiomRiVGMUkjeGlHRidGMSEiKSomRjRGMUYtRjFGKyokRipGMCIiJkYq
KiQsNCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYoRidGL0YnISIlKiRGKkYlRjMqJEYvRiVGMyokRiVGJiIiJCIiJ0YnRiU=
KiQsLiokJkkieEc2IjYjSSJpR0YnIiIjRioqJCZJInlHRidGKEYqRioqJkYlIiIiSSN4aUdGJ0YvRioqJkYwRi9GLEYvRioqJEYqI0YvRipGL0YvRi9GKg==
PyhJI2l0RzYiIiIiRiUiIihJJXRydWVHJSpwcm90ZWN0ZWRHLUkmcHJpbnRHRig2Iy1JJmRlbm9tR0YoNiMmSSVSMVMxR0YkNiRGI0Yl
KiQsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJQ==
KiYsOCooJkkieEc2IjYjSSJpR0YnIiIjSSN4aUdGJ0YqRiojIiIiRipGKiooRitGKiZJInlHRidGKEYqRipGLEYqKihGKkYsRitGLUYlRi0iIiUqKEYqRixGK0YtRi9GLSEiIyomRiVGKkYqRiwhIiUqJkYvRipGKkYsRjYqJkYlRi1GK0YtRjQqJkYrRi1GL0YtRioqJEYlRipGNiokRi9GKkY2ISIkRi1GKiwwRjFGMkYzRjRGNUY0RjdGNEY4RjRGOUYqRjxGLUYt
KiQsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0Yl
KiQsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRio=
KiQsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIicqJkYxRixGLkYsISIjKiRGJUYqRioqJEYuRipGKiIiJkYsRio=
KiQsNiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiIyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYqRidGKEYnIiIpKiZGKEYnRi9GJyEiJSokRipGJUYzKiRGL0YlRjMqJEYlRiYiIiQiIidGJ0Yl
KiQsLCokJkkieEc2IjYjSSJpR0YnIiIjRioqJCZJInlHRidGKEYqRioqKEYqIyIiIkYqSSN4aUdGJ0YwRixGMEYqKiRGKkYvRjBGMEYwRio=
JSFH
# Note that the expressions above are squares of the denominators of the Orientation predicate.
# We have found (see the corresponding Maple worksheet) that these expressions are really the
# expanded forms of sums of squares. Moreover, they are squared, therefore the sign of the predicate
# depends solely on the numerators, which we will examine right away.
# For R1S0 we have:
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
L0koZGVncmVlRkc2IiIiIQ==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiJw==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiJw==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiJw==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiIQ==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiKQ==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiJw==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiKQ==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiIQ==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiKQ==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiJw==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiKQ==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiIQ==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiJw==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
JSFH
# We examine the degrees of the same factors for R1S1.
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
L0koZGVncmVlRkc2IiIiIQ==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiJw==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiIQ==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiKQ==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiJw==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiKQ==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiIQ==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiKQ==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiJw==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiKQ==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiIQ==
L0koZGVncmVlR0c2IiIiJw==
L0koZGVncmVlSEc2IiIiJw==
L0koZGVncmVlSkc2IiIiKQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
JSFH
JSFH
# We examine now the form of the InCircle predicate when only two points outside of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiREYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRIk9GJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSIuRicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZILyUpc3RyZXRjaHlHRkgvJSpzeW1tZXRyaWNHRkgvJShsYXJnZW9wR0ZILyUubW92YWJsZWxpbWl0c0dGSC8lJ2FjY2VudEdGSC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlcvJStleGVjdXRhYmxlR0ZIRkQ=
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
JSFH
# Get the results for S0 and S1
QyQ+SSVSMlMwRzYiLUkoZXZhbHR3b0dGJTYjSSNTMEdGJSEiIg==
QyQ+SSVSMlMxRzYiLUkoZXZhbHR3b0dGJTYjSSNTMUdGJSEiIg==
JSFH
# Let us examine the denominators of the resulting expressions. Note that they are products of the
# denominators that we found previously -- therefore these expressions can be factorized into products
# of sums of squares.
# For R2S0:
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
KiYsLComJkkieEc2IjYjSSJqR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZJI3hpR0YnRixGJUYsISIlKiRGKkYrISIiRi1GLEYqLCwqJiZGJjYjSSJpR0YnRipGKkYrRi0qJiZGMEY5RipGKkYrRi0qJkY4RixGMkYsRjNGNEY1Ri1GLEYq
KiYsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLC4qKEYqRitGMkYsJkYwNiNJImpHRidGLEYqKiYmRiZGOUYqRipGK0YtKiZGOEYqRipGK0YtKiZGMkYsRjxGLEYqKiZGMkYsRjhGLCEiJyEiJEYsRio=
KiYsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDAqJiZGJjYjSSJqR0YnRipGKkYrRioqJiZGMEY5RipGKkYrRioqJkYyRixGOEYsRi0qJkYyRixGPEYsISInKiRGOEYqRioqJEY8RipGKiIiJkYsRio=
KiYsNCokJkkieEc2IjYjSSJqR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGMkYxRiVGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosLComJkYmNiNJImlHRidGKkYqRjBGPComJkYuRkBGKkYqRjBGPComRj9GMUYyRjFGM0Y6RjtGPEYxRio=
KiYsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDAqJCZGJjYjSSJqR0YnRioiIiUqJCZGMEY5RipGOyomRjhGKkYqRitGKiomRj1GKkYqRitGKiomRjJGLEY4RiwhIikqJkYyRixGPUYsRjtGNCIiJkYq
KiYsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDQqKEYqRitGMkYsJkYmNiNJImpHRidGLEYqKihGKkYrRjJGLCZGMEY5RiwhIicqJkY4RipGKkYrIiIlKiZGPEYqRipGK0Y/KiZGMkYsRjxGLEYzKiRGOEYqRj8qJEY8RipGP0Y0IiIkIiInRixGKg==
KiYsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLC4qJCZGJjYjSSJqR0YnRipGKiokJkYwRjlGKkYqKiZGMkYsRjhGLEYqKiZGMkYsRjxGLEYqRjRGLEYsRixGKg==
KiYsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsLiooRiVGJkYoRicmRis2I0kiakdGKUYnRiUqJiZGMEY6RiVGJUYmRjEqJkY5RiVGJUYmRjEqJkYoRidGPUYnRiUqJkYoRidGOUYnRjVGNkYnRiU=
KiYsMComJkkieEc2IjYjSSJqR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkkjeGlHRidGLEYlRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosLiooRipGK0YxRiwmRi82I0kiaUdGJ0YsRioqJiZGJkY7RipGKkYrRjIqJkY6RipGKkYrRjIqJkY+RixGMUYsRioqJkYxRixGOkYsRjQhIiRGLEYq
KiYsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsNCokJkYwNiNJImpHRilGJSIiKSokJkYrRjpGJUY8KihGJUYmRihGJ0Y+RichIiUqJkY5RiVGJUYmISIpKiZGPkYlRiVGJkZCKiZGKEYnRjlGJ0ZAKiZGKEYnRj5GJyIiJSokRiVGJiEiIkYxRidGJQ==
KiYsMCokJkkieEc2IjYjSSJqR0YnIiIjIiIlKiQmSSJ5R0YnRihGKkYrKiZGJUYqRiojIiIiRipGKiomRi1GKkYqRjBGKiomSSN4aUdGJ0YxRiVGMSEiKSomRjRGMUYtRjFGKyokRipGMCIiJkYqLC4qKEYqRjBGNEYxJkYuNiNJImlHRidGMUYqKiYmRiZGPEYqRipGMCEiIyomRjtGKkYqRjBGQComRj9GMUY0RjFGKiomRjRGMUY7RjEhIichIiRGMUYq
KiYsNCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJqR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYoRidGL0YnISIlKiRGKkYlRjMqJEYvRiVGMyokRiVGJiIiJCIiJ0YnRiUsLiooRiVGJkYoRicmRjA2I0kiaUdGKUYnRiUqJiZGK0Y/RiVGJUYmISIjKiZGPkYlRiVGJkZDKiZGQkYnRihGJ0YlKiZGKEYnRj5GJ0YxISIkRidGJQ==
KiYsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsLiokJkYwNiNJImpHRilGJUYlKiQmRitGOkYlRiUqJkYoRidGOUYnRiUqJkYoRidGPUYnRiUqJEYlRiZGJ0YnRidGJQ==
KiYsMComJkkieEc2IjYjSSJqR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkkjeGlHRidGLEYlRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMComJkYmNiNJImlHRidGKkYqRitGKiomJkYvRjtGKkYqRitGKiomRjpGLEYxRixGMiomRjFGLEY+RixGNCokRjpGKkYqKiRGPkYqRipGN0YsRio=
KiYsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosNCokJkYmNiNJImpHRidGKiIiKSokJkYvRjtGKkY9KihGKkYrRjFGLEY/RiwhIiUqJkY6RipGKkYrISIpKiZGP0YqRipGK0ZDKiZGMUYsRjpGLEZBKiZGMUYsRj9GLCIiJSokRipGKyEiIkYyRixGKg==
KiYsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMCokJkYmNiNJImpHRidGKiIiJSokJkYvRjtGKkY9KiZGOkYqRipGK0YqKiZGP0YqRipGK0YqKiZGMUYsRjpGLCEiKSomRjFGLEY/RixGPSokRipGK0Y3Rio=
KiYsNCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJqR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYoRidGL0YnISIlKiRGKkYlRjMqJEYvRiVGMyokRiVGJiIiJCIiJ0YnRiUsMComJkYrNiNJImlHRilGJUYlRiZGJSomJkYwRj9GJUYlRiZGJSomRj5GJ0YoRichIiMqJkYoRidGQkYnRjEqJEY+RiVGJSokRkJGJUYlIiImRidGJQ==
KiYsLiokJkkieEc2IjYjSSJqR0YnIiIjRioqJCZJInlHRidGKEYqRioqJkkjeGlHRiciIiJGJUYwRioqJkYvRjBGLEYwRioqJEYqI0YwRipGMEYwRjBGKiwwKiYmRiY2I0kiaUdGJ0YqRipGM0YqKiYmRi1GN0YqRipGM0YqKiZGNkYwRi9GMCEiIyomRi9GMEY6RjAhIicqJEY2RipGKiokRjpGKkYqIiImRjBGKg==
KiYsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosNCokJkYmNiNJImpHRidGKkYrKiQmRi5GQEYqRisqKEYqRjBGMkYxRkNGMUYzKiZGP0YqRipGMEY1KiZGQ0YqRipGMEY1KiZGMkYxRj9GMUYzKiZGMkYxRkNGMUY5RjpGO0Y8RjFGKg==
KiYsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosMCokJkYmNiNJImpHRidGKkY5KiQmRi5GQEYqRjkqJkY/RipGKkYwRioqJkZDRipGKkYwRioqJkYyRjFGP0YxRjUqJkYyRjFGQ0YxRjlGOiIiJkYq
KiYsNCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJqR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYoRidGL0YnISIlKiRGKkYlRjMqJEYvRiVGMyokRiVGJiIiJCIiJ0YnRiUsNCokJkYrNiNJImlHRilGJSIiKSokJkYwRj9GJUZBKihGJUYmRihGJ0ZDRidGNiomRj5GJUYlRiYhIikqJkZDRiVGJUYmRkYqJkY+RidGKEYnRjYqJkYoRidGQ0YnRjNGOSEiIiEiI0YnRiU=
KiYsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosLiokJkYmNiNJImpHRidGKkYqKiQmRi5GQEYqRioqJkYyRjFGP0YxRioqJkYyRjFGQ0YxRipGOkYxRjFGMUYq
KiYsMCokJkkieEc2IjYjSSJpR0YnIiIjIiIlKiQmSSJ5R0YnRihGKkYrKiZGJUYqRiojIiIiRipGKiomRi1GKkYqRjBGKiomRiVGMUkjeGlHRidGMSEiKSomRjRGMUYtRjFGKyokRipGMCIiJkYqLDAqJCZGJjYjSSJqR0YnRipGKyokJkYuRjxGKkYrKiZGO0YqRipGMEYqKiZGP0YqRipGMEYqKiZGNEYxRjtGMUY1KiZGNEYxRj9GMUYrRjdGOEYq
KiYsNCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJqR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYoRidGL0YnISIlKiRGKkYlRjMqJEYvRiVGMyokRiVGJiIiJCIiJ0YnRiUsMCokJkYrNiNJImlHRilGJUYzKiQmRjBGP0YlRjMqJkY+RiVGJUYmRiUqJkZCRiVGJUYmRiUqJkY+RidGKEYnISIpKiZGKEYnRkJGJ0YzRjkiIiZGJQ==
KiYsMCokJkkieEc2IjYjSSJpR0YnIiIjIiIlKiQmSSJ5R0YnRihGKkYrKiZGJUYqRiojIiIiRipGKiomRi1GKkYqRjBGKiomRiVGMUkjeGlHRidGMSEiKSomRjRGMUYtRjFGKyokRipGMCIiJkYqLC4qJCZGJjYjSSJqR0YnRipGKiokJkYuRjxGKkYqKiZGNEYxRjtGMUYqKiZGNEYxRj9GMUYqRjdGMUYxRjFGKg==
KiYsNCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYoRidGL0YnISIlKiRGKkYlRjMqJEYvRiVGMyokRiVGJiIiJCIiJ0YnRiUsNCooRiVGJkYoRicmRis2I0kiakdGKUYnRiUqKEYlRiZGKEYnJkYwRj9GJ0YxKiZGPkYlRiVGJkYzKiZGQkYlRiVGJkYzKiZGKEYnRkJGJ0Y2KiRGPkYlRjMqJEZCRiVGM0Y5RjpGO0YnRiU=
KiYsLiokJkkieEc2IjYjSSJqR0YnIiIjRioqJCZJInlHRidGKEYqRioqJkkjeGlHRiciIiJGJUYwRioqJkYvRjBGLEYwRioqJEYqI0YwRipGMEYwRjBGKiw0KihGKkYzRi9GMCZGJjYjSSJpR0YnRjBGKiooRipGM0YvRjAmRi1GN0YwISInKiZGNkYqRipGMyIiJSomRjpGKkYqRjNGPSomRi9GMEY6RjAhIiUqJEY2RipGPSokRjpGKkY9RjIiIiQiIidGMEYq
KiYsLiokJkkieEc2IjYjSSJpR0YnIiIjRioqJCZJInlHRidGKEYqRioqJkYlIiIiSSN4aUdGJ0YvRioqJkYwRi9GLEYvRioqJEYqI0YvRipGL0YvRi9GKiwuKiQmRiY2I0kiakdGJ0YqRioqJCZGLUY3RipGKiomRjBGL0Y2Ri9GKiomRjBGL0Y6Ri9GKkYyRi9GL0YvRio=
JSFH
# Examine the denominators for R2S1:
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
KiYsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJqR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwuKihGJUYmRihGJyZGKzYjSSJpR0YpRidGLiooRiVGJkYoRicmRjFGOUYnRi4qJkY4RiVGJUYmRi4qJkY8RiVGJUYmRi5GNEY1Ri5GJ0Yl
KiYsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwwKihGJUYmRihGJyZGKzYjSSJqR0YpRiciIiUqKEYlRiZGKEYnJkYxRjlGJ0YuKiZGOEYlRiVGJkYuKiZGPUYlRiVGJkYuKiZGKEYnRjhGJ0YuKiZGKEYnRj1GJ0YlISIkRidGJQ==
KiYsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwwKihGJUYmRihGJyZGKzYjSSJqR0YpRidGJSooRiVGJkYoRicmRjFGOUYnISIlKiZGOEYlRiVGJkYlKiZGPEYlRiVGJkYlKiRGOEYlRiUqJEY8RiVGJSIiJkYnRiU=
KiYsNCokJkkieEc2IjYjSSJqR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGMkYxRiVGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosLiooRipGMEYyRjEmRiY2I0kiaUdGJ0YxRjwqKEYqRjBGMkYxJkYuRkBGMUY8KiZGP0YqRipGMEY8KiZGQ0YqRipGMEY8RjpGO0Y8RjFGKg==
KiYsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwwKiYmRis2I0kiakdGKUYlRiVGJkYlKiYmRjFGOUYlRiVGJkYlKiZGKEYnRjhGJyEiJyomRihGJ0Y8RidGLiokRjhGJUYlKiRGPEYlRiUiIiZGJ0Yl
KiYsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSw2KihGJUYmRihGJyZGKzYjSSJqR0YpRidGJSooRiVGJkYoRicmRjFGOUYnRi4qJkY4RiVGJUYmIiIlKiZGPEYlRiVGJkY+KiZGKEYnRjhGJyIiKSomRihGJ0Y8RichIiUqJEY4RiVGPiokRjxGJUY+RjQiIiQiIidGJ0Yl
KiYsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwsKiQmRis2I0kiakdGKUYlRiUqJCZGMUY5RiVGJSooRiVGJkYoRidGPEYnRiVGNEYnRidGJ0Yl
KiYsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRiciIiUqKEYlRiZGKEYnJkkieUdGKUYsRichIiMqJkYqRiVGJUYmRjIqJkYwRiVGJUYmRjIqJkYqRidGKEYnRjIqJkYoRidGMEYnRiUhIiRGJ0YlLDAqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YuKihGJUYmRihGJyZGMUY7RidGMiomRjpGJUYlRiZGMiomRj5GJUYlRiZGMiomRihGJ0Y6RidGMiomRihGJ0Y+RidGJUY3RidGJQ==
KiYsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRiciIiUqKEYlRiZGKEYnJkkieUdGKUYsRichIiMqJkYqRiVGJUYmRjIqJkYwRiVGJUYmRjIqJkYqRidGKEYnRjIqJkYoRidGMEYnRiUhIiRGJ0YlLDAqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMUY7RichIiUqJkY6RiVGJUYmRiUqJkY+RiVGJUYmRiUqJEY6RiVGJSokRj5GJUYlIiImRidGJQ==
KiYsNCokJkkieEc2IjYjSSJqR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGMkYxRiVGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosMCooRipGMEYyRjEmRiY2I0kiaUdGJ0YxRjgqKEYqRjBGMkYxJkYuRkBGMUY8KiZGP0YqRipGMEY8KiZGQ0YqRipGMEY8KiZGP0YxRjJGMUY8KiZGMkYxRkNGMUYqISIkRjFGKg==
KiYsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRiciIiUqKEYlRiZGKEYnJkkieUdGKUYsRichIiMqJkYqRiVGJUYmRjIqJkYwRiVGJUYmRjIqJkYqRidGKEYnRjIqJkYoRidGMEYnRiUhIiRGJ0YlLDAqJiZGKzYjSSJqR0YpRiVGJUYmRiUqJiZGMUY7RiVGJUYmRiUqJkYoRidGOkYnISInKiZGKEYnRj5GJ0YyKiRGOkYlRiUqJEY+RiVGJSIiJkYnRiU=
KiYsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRiciIiUqKEYlRiZGKEYnJkkieUdGKUYsRichIiMqJkYqRiVGJUYmRjIqJkYwRiVGJUYmRjIqJkYqRidGKEYnRjIqJkYoRidGMEYnRiUhIiRGJ0YlLDYqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMUY7RidGMiomRjpGJUYlRiZGLiomRj5GJUYlRiZGLiomRihGJ0Y6RiciIikqJkYoRidGPkYnISIlKiRGOkYlRi4qJEY+RiVGLiokRiVGJiIiJCIiJ0YnRiU=
KiYsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRiciIiUqKEYlRiZGKEYnJkkieUdGKUYsRichIiMqJkYqRiVGJUYmRjIqJkYwRiVGJUYmRjIqJkYqRidGKEYnRjIqJkYoRidGMEYnRiUhIiRGJ0YlLCwqJCZGKzYjSSJqR0YpRiVGJSokJkYxRjtGJUYlKihGJUYmRihGJ0Y+RidGJSokRiVGJkYnRidGJ0Yl
KiYsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDAqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMEY6RidGMSomRjlGJUYlRiZGJSomRj1GJUYlRiZGJSokRjlGJUYlKiRGPUYlRiVGNkYnRiU=
KiYsNCokJkkieEc2IjYjSSJqR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGMkYxRiVGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosMCooRipGMEYyRjEmRiY2I0kiaUdGJ0YxRioqKEYqRjBGMkYxJkYuRkBGMUYzKiZGP0YqRipGMEYqKiZGQ0YqRipGMEYqKiRGP0YqRioqJEZDRipGKiIiJkYxRio=
KiYsMComJkkieEc2IjYjSSJqR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkkjeGlHRidGLEYlRiwhIicqJkYxRixGLkYsISIjKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMCooRipGK0YxRiwmRiY2I0kiaUdGJ0YsRioqKEYqRitGMUYsJkYvRjtGLCEiJSomRjpGKkYqRitGKiomRj5GKkYqRitGKiokRjpGKkYqKiRGPkYqRipGN0YsRio=
KiYsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDYqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMEY6RichIiMqJkY5RiVGJUYmIiIlKiZGPUYlRiVGJkZAKiZGKEYnRjlGJyIiKSomRihGJ0Y9RidGMSokRjlGJUZAKiRGPUYlRkAqJEYlRiYiIiQiIidGJ0Yl
KiYsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLCwqJCZGKzYjSSJqR0YpRiVGJSokJkYwRjpGJUYlKihGJUYmRihGJ0Y9RidGJSokRiVGJkYnRidGJ0Yl
KiYsNCokJkkieEc2IjYjSSJqR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGMkYxRiVGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosNCokJkYmNiNJImlHRidGKkYrKiQmRi5GQEYqRisqKEYqRjBGMkYxRj9GMUYzKiZGP0YqRipGMEY1KiZGQ0YqRipGMEY1KiZGP0YxRjJGMUY4KiZGMkYxRkNGMUYzRjpGO0Y8RjFGKg==
KiYsMComJkkieEc2IjYjSSJqR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkkjeGlHRidGLEYlRiwhIicqJkYxRixGLkYsISIjKiRGJUYqRioqJEYuRipGKiIiJkYsRiosNCokJkYmNiNJImlHRidGKiIiKSokJkYvRjtGKkY9KihGKkYrRjFGLEY6RiwhIiUqJkY6RipGKkYrISIpKiZGP0YqRipGK0ZDKiZGOkYsRjFGLCIiJSomRjFGLEY/RixGQSokRipGKyEiIkY0RixGKg==
KiYsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosNiooRipGMEYyRjEmRiY2I0kiakdGJ0YxRioqKEYqRjBGMkYxJkYuRkBGMUY8KiZGP0YqRipGMEY4KiZGQ0YqRipGMEY4KiZGMkYxRj9GMUYrKiZGMkYxRkNGMUYzKiRGP0YqRjgqJEZDRipGOEY6IiIkIiInRjFGKg==
KiYsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosLCokJkYmNiNJImpHRidGKkYqKiQmRi5GQEYqRioqKEYqRjBGMkYxRkNGMUYqRjpGMUYxRjFGKg==
KiYsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIicqJkYxRixGLkYsISIjKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMComJkYmNiNJImpHRidGKkYqRitGKiomJkYvRjtGKkYqRitGKiomRjFGLEY6RixGMiomRjFGLEY+RixGNCokRjpGKkYqKiRGPkYqRipGN0YsRio=
KiYsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIicqJkYxRixGLkYsISIjKiRGJUYqRioqJEYuRipGKiIiJkYsRiosNiooRipGK0YxRiwmRiY2I0kiakdGJ0YsRioqKEYqRitGMUYsJkYvRjtGLEY0KiZGOkYqRipGKyIiJSomRj5GKkYqRitGQComRjFGLEY6RiwiIikqJkYxRixGPkYsISIlKiRGOkYqRkAqJEY+RipGQCokRipGKyIiJCIiJ0YsRio=
KiYsLCokJkkieEc2IjYjSSJqR0YnIiIjRioqJCZJInlHRidGKEYqRioqKEYqIyIiIkYqSSN4aUdGJ0YwRixGMEYqKiRGKkYvRjBGMEYwRiosMComJkYmNiNJImlHRidGKkYqRi9GKiomJkYtRjZGKkYqRi9GKiomRjVGMEYxRjAhIicqJkYxRjBGOUYwISIjKiRGNUYqRioqJEY5RipGKiIiJkYwRio=
KiYsNiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiIyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYqRidGKEYnIiIpKiZGKEYnRi9GJyEiJSokRipGJUYzKiRGL0YlRjMqJEYlRiYiIiQiIidGJ0YlLDYqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMEZBRidGMSomRkBGJUYlRiZGMyomRkRGJUYlRiZGMyomRihGJ0ZARidGNiomRihGJ0ZERidGOCokRkBGJUYzKiRGREYlRjNGO0Y8Rj1GJ0Yl
KiYsNiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiIyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYqRidGKEYnIiIpKiZGKEYnRi9GJyEiJSokRipGJUYzKiRGL0YlRjMqJEYlRiYiIiQiIidGJ0YlLCwqJCZGKzYjSSJqR0YpRiVGJSokJkYwRkFGJUYlKihGJUYmRihGJ0ZERidGJUY7RidGJ0YnRiU=
KiYsLCokJkkieEc2IjYjSSJpR0YnIiIjRioqJCZJInlHRidGKEYqRioqKEYqIyIiIkYqSSN4aUdGJ0YwRixGMEYqKiRGKkYvRjBGMEYwRiosLCokJkYmNiNJImpHRidGKkYqKiQmRi1GNkYqRioqKEYqRi9GMUYwRjlGMEYqRjJGMEYwRjBGKg==
JSFH
# Again, since the denominators are positive, the sign is uniquely defined by the numerators of the quantities that
# we get for the InCircle predicate. We can always bring these expressions into the known format, so we reuse
# the function splitall to examine the algebraic degrees of F, G, H, J.
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
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
JSFH
# Examine the algebraic degrees for R2S1:
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
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKA==
L0koZGVncmVlR0c2IiIiKA==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
JSFH
# We pass on to the last and computationally most demanding part -- InCircle predicate with three points outside of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiREYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRIk9GJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSIuRicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZILyUpc3RyZXRjaHlHRkgvJSpzeW1tZXRyaWNHRkgvJShsYXJnZW9wR0ZILyUubW92YWJsZWxpbWl0c0dGSC8lJ2FjY2VudEdGSC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlcvJStleGVjdXRhYmxlR0ZIRkQ=
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
# Get the results for S0 and S1
QyQ+SSVSM1MwRzYiLUkqZXZhbHRocmVlR0YlNiNJI1MwR0YlISIi
QyQ+SSVSM1MxRzYiLUkqZXZhbHRocmVlR0YlNiNJI1MxR0YlISIi
JSFH
# Let us examine the denominators of the resulting expressions. Note that they are products of the
# denominators that we found previously -- therefore these expressions can be factorized into products
# of sums of squares.
# For R2S0:
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
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLCwqJiZGJjYjSSJqR0YnRipGKkYrRi0qJiZGMEY5RipGKkYrRi0qJkYyRixGOEYsRjNGNEY1Ri1GLEYqLCwqJiZGJjYjSSJrR0YnRipGKkYrRi0qJiZGMEZBRipGKkYrRi0qJkYyRixGQEYsRjNGNEY1Ri1GLEYq
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLCwqJiZGJjYjSSJqR0YnRipGKkYrRi0qJiZGMEY5RipGKkYrRi0qJkYyRixGOEYsRjNGNEY1Ri1GLEYqLC4qKEYqRitGMkYsJkYwNiNJImtHRidGLEYqKiYmRiZGQUYqRipGK0YtKiZGQEYqRipGK0YtKiZGMkYsRkRGLEYqKiZGMkYsRkBGLCEiJyEiJEYsRio=
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLCwqJiZGJjYjSSJqR0YnRipGKkYrRi0qJiZGMEY5RipGKkYrRi0qJkYyRixGOEYsRjNGNEY1Ri1GLEYqLDAqJiZGJjYjSSJrR0YnRipGKkYrRioqJiZGMEZBRipGKkYrRioqJkYyRixGQEYsRi0qJkYyRixGREYsISInKiRGQEYqRioqJEZERipGKiIiJkYsRio=
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLCwqJiZGJjYjSSJqR0YnRipGKkYrRi0qJiZGMEY5RipGKkYrRi0qJkYyRixGOEYsRjNGNEY1Ri1GLEYqLDQqJCZGJjYjSSJrR0YnRioiIikqJCZGMEZBRipGQyooRipGK0YyRixGRUYsRjMqJkZARipGKkYrISIpKiZGRUYqRipGK0ZIKiZGMkYsRkBGLEYzKiZGMkYsRkVGLCIiJUY0RjVGLUYsRio=
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLCwqJiZGJjYjSSJqR0YnRipGKkYrRi0qJiZGMEY5RipGKkYrRi0qJkYyRixGOEYsRjNGNEY1Ri1GLEYqLDAqJCZGJjYjSSJrR0YnRioiIiUqJCZGMEZBRipGQyomRkBGKkYqRitGKiomRkVGKkYqRitGKiomRjJGLEZARiwhIikqJkYyRixGRUYsRkNGNCIiJkYq
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLCwqJiZGJjYjSSJqR0YnRipGKkYrRi0qJiZGMEY5RipGKkYrRi0qJkYyRixGOEYsRjNGNEY1Ri1GLEYqLDQqKEYqRitGMkYsJkYmNiNJImtHRidGLEYqKihGKkYrRjJGLCZGMEZBRiwhIicqJkZARipGKkYrIiIlKiZGREYqRipGK0ZHKiZGMkYsRkRGLEYzKiRGQEYqRkcqJEZERipGR0Y0IiIkIiInRixGKg==
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLCwqJiZGJjYjSSJqR0YnRipGKkYrRi0qJiZGMEY5RipGKkYrRi0qJkYyRixGOEYsRjNGNEY1Ri1GLEYqLC4qJCZGJjYjSSJrR0YnRipGKiokJkYwRkFGKkYqKiZGMkYsRkBGLEYqKiZGMkYsRkRGLEYqRjRGLEYsRixGKg==
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLC4qKEYqRitGMkYsJkYwNiNJImpHRidGLEYqKiYmRiZGOUYqRipGK0YtKiZGOEYqRipGK0YtKiZGMkYsRjxGLEYqKiZGMkYsRjhGLCEiJyEiJEYsRiosLiooRipGK0YyRiwmRjA2I0kia0dGJ0YsRioqJiZGJkZFRipGKkYrRi0qJkZERipGKkYrRi0qJkYyRixGSEYsRioqJkYyRixGREYsRkBGQUYsRio=
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLC4qKEYqRitGMkYsJkYwNiNJImpHRidGLEYqKiYmRiZGOUYqRipGK0YtKiZGOEYqRipGK0YtKiZGMkYsRjxGLEYqKiZGMkYsRjhGLCEiJyEiJEYsRiosMComJkYmNiNJImtHRidGKkYqRitGKiomJkYwRkVGKkYqRitGKiomRjJGLEZERixGLSomRjJGLEZIRixGQCokRkRGKkYqKiRGSEYqRioiIiZGLEYq
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLC4qKEYqRitGMkYsJkYwNiNJImpHRidGLEYqKiYmRiZGOUYqRipGK0YtKiZGOEYqRipGK0YtKiZGMkYsRjxGLEYqKiZGMkYsRjhGLCEiJyEiJEYsRiosNCokJkYmNiNJImtHRidGKiIiKSokJkYwRkVGKkZHKihGKkYrRjJGLEZJRixGMyomRkRGKkYqRishIikqJkZJRipGKkYrRkwqJkYyRixGREYsRjMqJkYyRixGSUYsIiIlRjRGNUYtRixGKg==
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLC4qKEYqRitGMkYsJkYwNiNJImpHRidGLEYqKiYmRiZGOUYqRipGK0YtKiZGOEYqRipGK0YtKiZGMkYsRjxGLEYqKiZGMkYsRjhGLCEiJyEiJEYsRiosMCokJkYmNiNJImtHRidGKiIiJSokJkYwRkVGKkZHKiZGREYqRipGK0YqKiZGSUYqRipGK0YqKiZGMkYsRkRGLCEiKSomRjJGLEZJRixGR0Y0IiImRio=
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLC4qKEYqRitGMkYsJkYwNiNJImpHRidGLEYqKiYmRiZGOUYqRipGK0YtKiZGOEYqRipGK0YtKiZGMkYsRjxGLEYqKiZGMkYsRjhGLCEiJyEiJEYsRiosNCooRipGK0YyRiwmRiY2I0kia0dGJ0YsRioqKEYqRitGMkYsJkYwRkVGLEZAKiZGREYqRipGKyIiJSomRkhGKkYqRitGSiomRjJGLEZIRixGMyokRkRGKkZKKiRGSEYqRkpGNCIiJCIiJ0YsRio=
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLC4qKEYqRitGMkYsJkYwNiNJImpHRidGLEYqKiYmRiZGOUYqRipGK0YtKiZGOEYqRipGK0YtKiZGMkYsRjxGLEYqKiZGMkYsRjhGLCEiJyEiJEYsRiosLiokJkYmNiNJImtHRidGKkYqKiQmRjBGRUYqRioqJkYyRixGREYsRioqJkYyRixGSEYsRipGNEYsRixGLEYq
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDAqJiZGJjYjSSJqR0YnRipGKkYrRioqJiZGMEY5RipGKkYrRioqJkYyRixGOEYsRi0qJkYyRixGPEYsISInKiRGOEYqRioqJEY8RipGKiIiJkYsRiosMComJkYmNiNJImtHRidGKkYqRitGKiomJkYwRkZGKkYqRitGKiomRjJGLEZFRixGLSomRjJGLEZJRixGPyokRkVGKkYqKiRGSUYqRipGQkYsRio=
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDAqJiZGJjYjSSJqR0YnRipGKkYrRioqJiZGMEY5RipGKkYrRioqJkYyRixGOEYsRi0qJkYyRixGPEYsISInKiRGOEYqRioqJEY8RipGKiIiJkYsRiosNCokJkYmNiNJImtHRidGKiIiKSokJkYwRkZGKkZIKihGKkYrRjJGLEZKRixGMyomRkVGKkYqRishIikqJkZKRipGKkYrRk0qJkYyRixGRUYsRjMqJkYyRixGSkYsIiIlRjRGNUYtRixGKg==
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDAqJiZGJjYjSSJqR0YnRipGKkYrRioqJiZGMEY5RipGKkYrRioqJkYyRixGOEYsRi0qJkYyRixGPEYsISInKiRGOEYqRioqJEY8RipGKiIiJkYsRiosMCokJkYmNiNJImtHRidGKiIiJSokJkYwRkZGKkZIKiZGRUYqRipGK0YqKiZGSkYqRipGK0YqKiZGMkYsRkVGLCEiKSomRjJGLEZKRixGSEY0RkJGKg==
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDAqJiZGJjYjSSJqR0YnRipGKkYrRioqJiZGMEY5RipGKkYrRioqJkYyRixGOEYsRi0qJkYyRixGPEYsISInKiRGOEYqRioqJEY8RipGKiIiJkYsRiosNCooRipGK0YyRiwmRiY2I0kia0dGJ0YsRioqKEYqRitGMkYsJkYwRkZGLEY/KiZGRUYqRipGKyIiJSomRklGKkYqRitGSyomRjJGLEZJRixGMyokRkVGKkZLKiRGSUYqRktGNCIiJCIiJ0YsRio=
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDAqJiZGJjYjSSJqR0YnRipGKkYrRioqJiZGMEY5RipGKkYrRioqJkYyRixGOEYsRi0qJkYyRixGPEYsISInKiRGOEYqRioqJEY8RipGKiIiJkYsRiosLiokJkYmNiNJImtHRidGKkYqKiQmRjBGRkYqRioqJkYyRixGRUYsRioqJkYyRixGSUYsRipGNEYsRixGLEYq
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDQqJCZGJjYjSSJqR0YnRioiIikqJCZGMEY5RipGOyooRipGK0YyRixGPUYsRjMqJkY4RipGKkYrISIpKiZGPUYqRipGK0ZAKiZGMkYsRjhGLEYzKiZGMkYsRj1GLCIiJUY0RjVGLUYsRiosNCokJkYmNiNJImtHRidGKkY7KiQmRjBGSEYqRjsqKEYqRitGMkYsRktGLEYzKiZGR0YqRipGK0ZAKiZGS0YqRipGK0ZAKiZGMkYsRkdGLEYzKiZGMkYsRktGLEZERjRGNUYtRixGKg==
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDQqJCZGJjYjSSJqR0YnRioiIikqJCZGMEY5RipGOyooRipGK0YyRixGPUYsRjMqJkY4RipGKkYrISIpKiZGPUYqRipGK0ZAKiZGMkYsRjhGLEYzKiZGMkYsRj1GLCIiJUY0RjVGLUYsRiosMCokJkYmNiNJImtHRidGKkZEKiQmRjBGSEYqRkQqJkZHRipGKkYrRioqJkZLRipGKkYrRioqJkYyRixGR0YsRkAqJkYyRixGS0YsRkRGNCIiJkYq
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDQqJCZGJjYjSSJqR0YnRioiIikqJCZGMEY5RipGOyooRipGK0YyRixGPUYsRjMqJkY4RipGKkYrISIpKiZGPUYqRipGK0ZAKiZGMkYsRjhGLEYzKiZGMkYsRj1GLCIiJUY0RjVGLUYsRiosNCooRipGK0YyRiwmRiY2I0kia0dGJ0YsRioqKEYqRitGMkYsJkYwRkhGLCEiJyomRkdGKkYqRitGRComRktGKkYqRitGRComRjJGLEZLRixGMyokRkdGKkZEKiRGS0YqRkRGNCIiJCIiJ0YsRio=
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDQqJCZGJjYjSSJqR0YnRioiIikqJCZGMEY5RipGOyooRipGK0YyRixGPUYsRjMqJkY4RipGKkYrISIpKiZGPUYqRipGK0ZAKiZGMkYsRjhGLEYzKiZGMkYsRj1GLCIiJUY0RjVGLUYsRiosLiokJkYmNiNJImtHRidGKkYqKiQmRjBGSEYqRioqJkYyRixGR0YsRioqJkYyRixGS0YsRipGNEYsRixGLEYq
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDAqJCZGJjYjSSJqR0YnRioiIiUqJCZGMEY5RipGOyomRjhGKkYqRitGKiomRj1GKkYqRitGKiomRjJGLEY4RiwhIikqJkYyRixGPUYsRjtGNCIiJkYqLDAqJCZGJjYjSSJrR0YnRipGOyokJkYwRkdGKkY7KiZGRkYqRipGK0YqKiZGSkYqRipGK0YqKiZGMkYsRkZGLEZBKiZGMkYsRkpGLEY7RjRGQ0Yq
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDAqJCZGJjYjSSJqR0YnRioiIiUqJCZGMEY5RipGOyomRjhGKkYqRitGKiomRj1GKkYqRitGKiomRjJGLEY4RiwhIikqJkYyRixGPUYsRjtGNCIiJkYqLDQqKEYqRitGMkYsJkYmNiNJImtHRidGLEYqKihGKkYrRjJGLCZGMEZHRiwhIicqJkZGRipGKkYrRjsqJkZKRipGKkYrRjsqJkYyRixGSkYsRjMqJEZGRipGOyokRkpGKkY7RjQiIiQiIidGLEYq
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDAqJCZGJjYjSSJqR0YnRioiIiUqJCZGMEY5RipGOyomRjhGKkYqRitGKiomRj1GKkYqRitGKiomRjJGLEY4RiwhIikqJkYyRixGPUYsRjtGNCIiJkYqLC4qJCZGJjYjSSJrR0YnRipGKiokJkYwRkdGKkYqKiZGMkYsRkZGLEYqKiZGMkYsRkpGLEYqRjRGLEYsRixGKg==
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDQqKEYqRitGMkYsJkYmNiNJImpHRidGLEYqKihGKkYrRjJGLCZGMEY5RiwhIicqJkY4RipGKkYrIiIlKiZGPEYqRipGK0Y/KiZGMkYsRjxGLEYzKiRGOEYqRj8qJEY8RipGP0Y0IiIkIiInRixGKiw0KihGKkYrRjJGLCZGJjYjSSJrR0YnRixGKiooRipGK0YyRiwmRjBGSUYsRj0qJkZIRipGKkYrRj8qJkZMRipGKkYrRj8qJkYyRixGTEYsRjMqJEZIRipGPyokRkxGKkY/RjRGREZFRixGKg==
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLDQqKEYqRitGMkYsJkYmNiNJImpHRidGLEYqKihGKkYrRjJGLCZGMEY5RiwhIicqJkY4RipGKkYrIiIlKiZGPEYqRipGK0Y/KiZGMkYsRjxGLEYzKiRGOEYqRj8qJEY8RipGP0Y0IiIkIiInRixGKiwuKiQmRiY2I0kia0dGJ0YqRioqJCZGMEZJRipGKiomRjJGLEZIRixGKiomRjJGLEZMRixGKkY0RixGLEYsRio=
KigsLComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRiohIiMqJiZJInlHRidGKEYqRipGK0YtKiZGJUYsSSN4aUdGJ0YsISIlKiRGKkYrISIiRi1GLEYqLC4qJCZGJjYjSSJqR0YnRipGKiokJkYwRjlGKkYqKiZGMkYsRjhGLEYqKiZGMkYsRjxGLEYqRjRGLEYsRixGKiwuKiQmRiY2I0kia0dGJ0YqRioqJCZGMEZCRipGKiomRjJGLEZBRixGKiomRjJGLEZFRixGKkY0RixGLEYsRio=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsLiooRiVGJkYoRicmRis2I0kiakdGKUYnRiUqJiZGMEY6RiVGJUYmRjEqJkY5RiVGJUYmRjEqJkYoRidGPUYnRiUqJkYoRidGOUYnRjVGNkYnRiUsLiooRiVGJkYoRicmRis2I0kia0dGKUYnRiUqJiZGMEZERiVGJUYmRjEqJkZDRiVGJUYmRjEqJkYoRidGR0YnRiUqJkYoRidGQ0YnRjVGNkYnRiU=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsLiooRiVGJkYoRicmRis2I0kiakdGKUYnRiUqJiZGMEY6RiVGJUYmRjEqJkY5RiVGJUYmRjEqJkYoRidGPUYnRiUqJkYoRidGOUYnRjVGNkYnRiUsMComJkYwNiNJImtHRilGJUYlRiZGJSomJkYrRkRGJUYlRiZGJSomRihGJ0ZDRidGMSomRihGJ0ZHRidGNSokRkNGJUYlKiRGR0YlRiUiIiZGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsLiooRiVGJkYoRicmRis2I0kiakdGKUYnRiUqJiZGMEY6RiVGJUYmRjEqJkY5RiVGJUYmRjEqJkYoRidGPUYnRiUqJkYoRidGOUYnRjVGNkYnRiUsNCokJkYwNiNJImtHRilGJSIiKSokJkYrRkRGJUZGKihGJUYmRihGJ0ZIRichIiUqJkZDRiVGJUYmISIpKiZGSEYlRiVGJkZMKiZGKEYnRkNGJ0ZKKiZGKEYnRkhGJyIiJSokRiVGJiEiIkYxRidGJQ==
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsLiooRiVGJkYoRicmRis2I0kiakdGKUYnRiUqJiZGMEY6RiVGJUYmRjEqJkY5RiVGJUYmRjEqJkYoRidGPUYnRiUqJkYoRidGOUYnRjVGNkYnRiUsMCokJkYwNiNJImtHRilGJSIiJSokJkYrRkRGJUZGKiZGQ0YlRiVGJkYlKiZGSEYlRiVGJkYlKiZGKEYnRkNGJyEiKSomRihGJ0ZIRidGRiokRiVGJiIiJkYl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsLiooRiVGJkYoRicmRis2I0kiakdGKUYnRiUqJiZGMEY6RiVGJUYmRjEqJkY5RiVGJUYmRjEqJkYoRidGPUYnRiUqJkYoRidGOUYnRjVGNkYnRiUsNCooRiVGJkYoRicmRjA2I0kia0dGKUYnRiUqKEYlRiZGKEYnJkYrRkRGJ0Y1KiZGQ0YlRiVGJiIiJSomRkdGJUYlRiZGSSomRihGJ0ZHRichIiUqJEZDRiVGSSokRkdGJUZJKiRGJUYmIiIkIiInRidGJQ==
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsLiooRiVGJkYoRicmRis2I0kiakdGKUYnRiUqJiZGMEY6RiVGJUYmRjEqJkY5RiVGJUYmRjEqJkYoRidGPUYnRiUqJkYoRidGOUYnRjVGNkYnRiUsLiokJkYwNiNJImtHRilGJUYlKiQmRitGREYlRiUqJkYoRidGQ0YnRiUqJkYoRidGR0YnRiUqJEYlRiZGJ0YnRidGJQ==
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsMComJkYwNiNJImpHRilGJUYlRiZGJSomJkYrRjpGJUYlRiZGJSomRihGJ0Y5RidGMSomRihGJ0Y9RidGNSokRjlGJUYlKiRGPUYlRiUiIiZGJ0YlLDAqJiZGMDYjSSJrR0YpRiVGJUYmRiUqJiZGK0ZGRiVGJUYmRiUqJkYoRidGRUYnRjEqJkYoRidGSUYnRjUqJEZFRiVGJSokRklGJUYlRkJGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsMComJkYwNiNJImpHRilGJUYlRiZGJSomJkYrRjpGJUYlRiZGJSomRihGJ0Y5RidGMSomRihGJ0Y9RidGNSokRjlGJUYlKiRGPUYlRiUiIiZGJ0YlLDQqJCZGMDYjSSJrR0YpRiUiIikqJCZGK0ZGRiVGSCooRiVGJkYoRidGSkYnISIlKiZGRUYlRiVGJiEiKSomRkpGJUYlRiZGTiomRihGJ0ZFRidGTComRihGJ0ZKRiciIiUqJEYlRiYhIiJGMUYnRiU=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsMComJkYwNiNJImpHRilGJUYlRiZGJSomJkYrRjpGJUYlRiZGJSomRihGJ0Y5RidGMSomRihGJ0Y9RidGNSokRjlGJUYlKiRGPUYlRiUiIiZGJ0YlLDAqJCZGMDYjSSJrR0YpRiUiIiUqJCZGK0ZGRiVGSComRkVGJUYlRiZGJSomRkpGJUYlRiZGJSomRihGJ0ZFRichIikqJkYoRidGSkYnRkgqJEYlRiZGQkYl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsMComJkYwNiNJImpHRilGJUYlRiZGJSomJkYrRjpGJUYlRiZGJSomRihGJ0Y5RidGMSomRihGJ0Y9RidGNSokRjlGJUYlKiRGPUYlRiUiIiZGJ0YlLDQqKEYlRiZGKEYnJkYwNiNJImtHRilGJ0YlKihGJUYmRihGJyZGK0ZGRidGNSomRkVGJUYlRiYiIiUqJkZJRiVGJUYmRksqJkYoRidGSUYnISIlKiRGRUYlRksqJEZJRiVGSyokRiVGJiIiJCIiJ0YnRiU=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsMComJkYwNiNJImpHRilGJUYlRiZGJSomJkYrRjpGJUYlRiZGJSomRihGJ0Y5RidGMSomRihGJ0Y9RidGNSokRjlGJUYlKiRGPUYlRiUiIiZGJ0YlLC4qJCZGMDYjSSJrR0YpRiVGJSokJkYrRkZGJUYlKiZGKEYnRkVGJ0YlKiZGKEYnRklGJ0YlKiRGJUYmRidGJ0YnRiU=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsNCokJkYwNiNJImpHRilGJSIiKSokJkYrRjpGJUY8KihGJUYmRihGJ0Y+RichIiUqJkY5RiVGJUYmISIpKiZGPkYlRiVGJkZCKiZGKEYnRjlGJ0ZAKiZGKEYnRj5GJyIiJSokRiVGJiEiIkYxRidGJSw0KiQmRjA2I0kia0dGKUYlRjwqJCZGK0ZMRiVGPCooRiVGJkYoRidGT0YnRkAqJkYlRiZGS0YlRkIqJkYlRiZGT0YlRkIqJkYoRidGS0YnRkAqJkYoRidGT0YnRkZGR0ZIRjFGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsNCokJkYwNiNJImpHRilGJSIiKSokJkYrRjpGJUY8KihGJUYmRihGJ0Y+RichIiUqJkY5RiVGJUYmISIpKiZGPkYlRiVGJkZCKiZGKEYnRjlGJ0ZAKiZGKEYnRj5GJyIiJSokRiVGJiEiIkYxRidGJSwwKiQmRjA2I0kia0dGKUYlRkYqJCZGK0ZMRiVGRiomRiVGJkZLRiVGJSomRiVGJkZPRiVGJSomRihGJ0ZLRidGQiomRihGJ0ZPRidGRkZHIiImRiU=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsNCokJkYwNiNJImpHRilGJSIiKSokJkYrRjpGJUY8KihGJUYmRihGJ0Y+RichIiUqJkY5RiVGJUYmISIpKiZGPkYlRiVGJkZCKiZGKEYnRjlGJ0ZAKiZGKEYnRj5GJyIiJSokRiVGJiEiIkYxRidGJSw0KihGJUYmRihGJyZGMDYjSSJrR0YpRidGJSooRiVGJkYoRicmRitGTEYnRjUqJkYlRiZGS0YlRkYqJkYlRiZGT0YlRkYqJkYoRidGT0YnRkAqJEZLRiVGRiokRk9GJUZGRkciIiQiIidGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsNCokJkYwNiNJImpHRilGJSIiKSokJkYrRjpGJUY8KihGJUYmRihGJ0Y+RichIiUqJkY5RiVGJUYmISIpKiZGPkYlRiVGJkZCKiZGKEYnRjlGJ0ZAKiZGKEYnRj5GJyIiJSokRiVGJiEiIkYxRidGJSwuKiQmRjA2I0kia0dGKUYlRiUqJCZGK0ZMRiVGJSomRihGJ0ZLRidGJSomRihGJ0ZPRidGJUZHRidGJ0YnRiU=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsMCokJkYwNiNJImpHRilGJSIiJSokJkYrRjpGJUY8KiZGOUYlRiVGJkYlKiZGPkYlRiVGJkYlKiZGKEYnRjlGJyEiKSomRihGJ0Y+RidGPCokRiVGJiIiJkYlLDAqJCZGMDYjSSJrR0YpRiVGPCokJkYrRklGJUY8KiZGJUYmRkhGJUYlKiZGJUYmRkxGJUYlKiZGKEYnRkhGJ0ZCKiZGKEYnRkxGJ0Y8RkRGRUYl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsMCokJkYwNiNJImpHRilGJSIiJSokJkYrRjpGJUY8KiZGOUYlRiVGJkYlKiZGPkYlRiVGJkYlKiZGKEYnRjlGJyEiKSomRihGJ0Y+RidGPCokRiVGJiIiJkYlLDQqKEYlRiZGKEYnJkYwNiNJImtHRilGJ0YlKihGJUYmRihGJyZGK0ZJRidGNSomRiVGJkZIRiVGPComRiVGJkZMRiVGPComRihGJ0ZMRichIiUqJEZIRiVGPCokRkxGJUY8RkQiIiQiIidGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsMCokJkYwNiNJImpHRilGJSIiJSokJkYrRjpGJUY8KiZGOUYlRiVGJkYlKiZGPkYlRiVGJkYlKiZGKEYnRjlGJyEiKSomRihGJ0Y+RidGPCokRiVGJiIiJkYlLC4qJCZGMDYjSSJrR0YpRiVGJSokJkYrRklGJUYlKiZGKEYnRkhGJ0YlKiZGKEYnRkxGJ0YlRkRGJ0YnRidGJQ==
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsNCooRiVGJkYoRicmRjA2I0kiakdGKUYnRiUqKEYlRiZGKEYnJkYrRjpGJ0Y1KiZGOUYlRiVGJiIiJSomRj1GJUYlRiZGPyomRihGJ0Y9RichIiUqJEY5RiVGPyokRj1GJUY/KiRGJUYmIiIkIiInRidGJSw0KihGJUYmRihGJyZGMDYjSSJrR0YpRidGJSooRiVGJkYoRicmRitGS0YnRjUqJkYlRiZGSkYlRj8qJkYlRiZGTkYlRj8qJkYoRidGTkYnRkIqJEZKRiVGPyokRk5GJUY/RkVGRkZHRidGJQ==
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsNCooRiVGJkYoRicmRjA2I0kiakdGKUYnRiUqKEYlRiZGKEYnJkYrRjpGJ0Y1KiZGOUYlRiVGJiIiJSomRj1GJUYlRiZGPyomRihGJ0Y9RichIiUqJEY5RiVGPyokRj1GJUY/KiRGJUYmIiIkIiInRidGJSwuKiQmRjA2I0kia0dGKUYlRiUqJCZGK0ZLRiVGJSomRihGJ0ZKRidGJSomRihGJ0ZORidGJUZFRidGJ0YnRiU=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieUdGKTYjSSJpR0YpRidGJSomJkkieEdGKUYsRiVGJUYmISIjKiZGKkYlRiVGJkYxKiZGL0YnRihGJ0YlKiZGKEYnRipGJyEiJyEiJEYnRiUsLiokJkYwNiNJImpHRilGJUYlKiQmRitGOkYlRiUqJkYoRidGOUYnRiUqJkYoRidGPUYnRiUqJEYlRiZGJ0YnRidGJSwuKiQmRjA2I0kia0dGKUYlRiUqJCZGK0ZERiVGJSomRihGJ0ZDRidGJSomRihGJ0ZHRidGJUZARidGJ0YnRiU=
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMComJkYmNiNJImpHRidGKkYqRitGKiomJkYvRjtGKkYqRitGKiomRjFGLEY6RixGMiomRjFGLEY+RixGNCokRjpGKkYqKiRGPkYqRipGN0YsRiosMComRipGKyZGJjYjSSJrR0YnRipGKiomRipGKyZGL0ZGRipGKiomRjFGLEZFRixGMiomRjFGLEZJRixGNCokRkVGKkYqKiRGSUYqRipGN0YsRio=
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMComJkYmNiNJImpHRidGKkYqRitGKiomJkYvRjtGKkYqRitGKiomRjFGLEY6RixGMiomRjFGLEY+RixGNCokRjpGKkYqKiRGPkYqRipGN0YsRiosNCokJkYmNiNJImtHRidGKiIiKSokJkYvRkZGKkZIKihGKkYrRjFGLEZKRiwhIiUqJkYqRitGRUYqISIpKiZGKkYrRkpGKkZOKiZGMUYsRkVGLEZMKiZGMUYsRkpGLCIiJSokRipGKyEiIkYyRixGKg==
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMComJkYmNiNJImpHRidGKkYqRitGKiomJkYvRjtGKkYqRitGKiomRjFGLEY6RixGMiomRjFGLEY+RixGNCokRjpGKkYqKiRGPkYqRipGN0YsRiosMCokJkYmNiNJImtHRidGKiIiJSokJkYvRkZGKkZIKiZGKkYrRkVGKkYqKiZGKkYrRkpGKkYqKiZGMUYsRkVGLCEiKSomRjFGLEZKRixGSCokRipGK0Y3Rio=
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMComJkYmNiNJImpHRidGKkYqRitGKiomJkYvRjtGKkYqRitGKiomRjFGLEY6RixGMiomRjFGLEY+RixGNCokRjpGKkYqKiRGPkYqRipGN0YsRiosNCooRipGK0YxRiwmRiY2I0kia0dGJ0YsRioqKEYqRitGMUYsJkYvRkZGLEY0KiZGKkYrRkVGKiIiJSomRipGK0ZJRipGSyomRjFGLEZJRiwhIiUqJEZFRipGSyokRklGKkZLKiRGKkYrIiIkIiInRixGKg==
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMComJkYmNiNJImpHRidGKkYqRitGKiomJkYvRjtGKkYqRitGKiomRjFGLEY6RixGMiomRjFGLEY+RixGNCokRjpGKkYqKiRGPkYqRipGN0YsRiosLiokJkYmNiNJImtHRidGKkYqKiQmRi9GRkYqRioqJkYxRixGRUYsRioqJkYxRixGSUYsRioqJEYqRitGLEYsRixGKg==
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosNCokJkYmNiNJImpHRidGKiIiKSokJkYvRjtGKkY9KihGKkYrRjFGLEY/RiwhIiUqJkY6RipGKkYrISIpKiZGP0YqRipGK0ZDKiZGMUYsRjpGLEZBKiZGMUYsRj9GLCIiJSokRipGKyEiIkYyRixGKiw0KiQmRiY2I0kia0dGJ0YqRj0qJCZGL0ZNRipGPSooRipGK0YxRixGUEYsRkEqJkYqRitGTEYqRkMqJkYqRitGUEYqRkMqJkYxRixGTEYsRkEqJkYxRixGUEYsRkdGSEZJRjJGLEYq
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosNCokJkYmNiNJImpHRidGKiIiKSokJkYvRjtGKkY9KihGKkYrRjFGLEY/RiwhIiUqJkY6RipGKkYrISIpKiZGP0YqRipGK0ZDKiZGMUYsRjpGLEZBKiZGMUYsRj9GLCIiJSokRipGKyEiIkYyRixGKiwwKiQmRiY2I0kia0dGJ0YqRkcqJCZGL0ZNRipGRyomRipGK0ZMRipGKiomRipGK0ZQRipGKiomRjFGLEZMRixGQyomRjFGLEZQRixGR0ZIRjdGKg==
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosNCokJkYmNiNJImpHRidGKiIiKSokJkYvRjtGKkY9KihGKkYrRjFGLEY/RiwhIiUqJkY6RipGKkYrISIpKiZGP0YqRipGK0ZDKiZGMUYsRjpGLEZBKiZGMUYsRj9GLCIiJSokRipGKyEiIkYyRixGKiw0KihGKkYrRjFGLCZGJjYjSSJrR0YnRixGKiooRipGK0YxRiwmRi9GTUYsRjQqJkYqRitGTEYqRkcqJkYqRitGUEYqRkcqJkYxRixGUEYsRkEqJEZMRipGRyokRlBGKkZHRkgiIiQiIidGLEYq
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosNCokJkYmNiNJImpHRidGKiIiKSokJkYvRjtGKkY9KihGKkYrRjFGLEY/RiwhIiUqJkY6RipGKkYrISIpKiZGP0YqRipGK0ZDKiZGMUYsRjpGLEZBKiZGMUYsRj9GLCIiJSokRipGKyEiIkYyRixGKiwuKiQmRiY2I0kia0dGJ0YqRioqJCZGL0ZNRipGKiomRjFGLEZMRixGKiomRjFGLEZQRixGKkZIRixGLEYsRio=
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMCokJkYmNiNJImpHRidGKiIiJSokJkYvRjtGKkY9KiZGOkYqRipGK0YqKiZGP0YqRipGK0YqKiZGMUYsRjpGLCEiKSomRjFGLEY/RixGPSokRipGK0Y3RiosMCokJkYmNiNJImtHRidGKkY9KiQmRi9GSUYqRj0qJkYqRitGSEYqRioqJkYqRitGTEYqRioqJkYxRixGSEYsRkMqJkYxRixGTEYsRj1GRUY3Rio=
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMCokJkYmNiNJImpHRidGKiIiJSokJkYvRjtGKkY9KiZGOkYqRipGK0YqKiZGP0YqRipGK0YqKiZGMUYsRjpGLCEiKSomRjFGLEY/RixGPSokRipGK0Y3RiosNCooRipGK0YxRiwmRiY2I0kia0dGJ0YsRioqKEYqRitGMUYsJkYvRklGLEY0KiZGKkYrRkhGKkY9KiZGKkYrRkxGKkY9KiZGMUYsRkxGLCEiJSokRkhGKkY9KiRGTEYqRj1GRSIiJCIiJ0YsRio=
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMCokJkYmNiNJImpHRidGKiIiJSokJkYvRjtGKkY9KiZGOkYqRipGK0YqKiZGP0YqRipGK0YqKiZGMUYsRjpGLCEiKSomRjFGLEY/RixGPSokRipGK0Y3RiosLiokJkYmNiNJImtHRidGKkYqKiQmRi9GSUYqRioqJkYxRixGSEYsRioqJkYxRixGTEYsRipGRUYsRixGLEYq
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosNCooRipGK0YxRiwmRiY2I0kiakdGJ0YsRioqKEYqRitGMUYsJkYvRjtGLEY0KiZGOkYqRipGKyIiJSomRj5GKkYqRitGQComRjFGLEY+RiwhIiUqJEY6RipGQCokRj5GKkZAKiRGKkYrIiIkIiInRixGKiw0KihGKkYrRjFGLCZGJjYjSSJrR0YnRixGKiooRipGK0YxRiwmRi9GTEYsRjQqJkYqRitGS0YqRkAqJkYqRitGT0YqRkAqJkYxRixGT0YsRkMqJEZLRipGQCokRk9GKkZARkZGR0ZIRixGKg==
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosNCooRipGK0YxRiwmRiY2I0kiakdGJ0YsRioqKEYqRitGMUYsJkYvRjtGLEY0KiZGOkYqRipGKyIiJSomRj5GKkYqRitGQComRjFGLEY+RiwhIiUqJEY6RipGQCokRj5GKkZAKiRGKkYrIiIkIiInRixGKiwuKiQmRiY2I0kia0dGJ0YqRioqJCZGL0ZMRipGKiomRjFGLEZLRixGKiomRjFGLEZPRixGKkZGRixGLEYsRio=
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIiMqJkYxRixGLkYsISInKiRGJUYqRioqJEYuRipGKiIiJkYsRiosLiokJkYmNiNJImpHRidGKkYqKiQmRi9GO0YqRioqJkYxRixGOkYsRioqJkYxRixGPkYsRioqJEYqRitGLEYsRixGKiwuKiQmRiY2I0kia0dGJ0YqRioqJCZGL0ZFRipGKiomRjFGLEZERixGKiomRjFGLEZIRixGKkZBRixGLEYsRio=
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosNCokJkYmNiNJImpHRidGKkYrKiQmRi5GQEYqRisqKEYqRjBGMkYxRkNGMUYzKiZGP0YqRipGMEY1KiZGQ0YqRipGMEY1KiZGMkYxRj9GMUYzKiZGMkYxRkNGMUY5RjpGO0Y8RjFGKiw0KiQmRiY2I0kia0dGJ0YqRisqJCZGLkZMRipGKyooRipGMEYyRjFGT0YxRjMqJkYqRjBGS0YqRjUqJkYqRjBGT0YqRjUqJkYyRjFGS0YxRjMqJkYyRjFGT0YxRjlGOkY7RjxGMUYq
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosNCokJkYmNiNJImpHRidGKkYrKiQmRi5GQEYqRisqKEYqRjBGMkYxRkNGMUYzKiZGP0YqRipGMEY1KiZGQ0YqRipGMEY1KiZGMkYxRj9GMUYzKiZGMkYxRkNGMUY5RjpGO0Y8RjFGKiwwKiQmRiY2I0kia0dGJ0YqRjkqJCZGLkZMRipGOSomRipGMEZLRipGKiomRipGMEZPRipGKiomRjJGMUZLRjFGNSomRjJGMUZPRjFGOUY6IiImRio=
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosNCokJkYmNiNJImpHRidGKkYrKiQmRi5GQEYqRisqKEYqRjBGMkYxRkNGMUYzKiZGP0YqRipGMEY1KiZGQ0YqRipGMEY1KiZGMkYxRj9GMUYzKiZGMkYxRkNGMUY5RjpGO0Y8RjFGKiw0KihGKkYwRjJGMSZGJjYjSSJrR0YnRjFGKiooRipGMEYyRjEmRi5GTEYxISInKiZGKkYwRktGKkY5KiZGKkYwRk9GKkY5KiZGMkYxRk9GMUYzKiRGS0YqRjkqJEZPRipGOUY6IiIkIiInRjFGKg==
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosNCokJkYmNiNJImpHRidGKkYrKiQmRi5GQEYqRisqKEYqRjBGMkYxRkNGMUYzKiZGP0YqRipGMEY1KiZGQ0YqRipGMEY1KiZGMkYxRj9GMUYzKiZGMkYxRkNGMUY5RjpGO0Y8RjFGKiwuKiQmRiY2I0kia0dGJ0YqRioqJCZGLkZMRipGKiomRjJGMUZLRjFGKiomRjJGMUZPRjFGKkY6RjFGMUYxRio=
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosMCokJkYmNiNJImpHRidGKkY5KiQmRi5GQEYqRjkqJkY/RipGKkYwRioqJkZDRipGKkYwRioqJkYyRjFGP0YxRjUqJkYyRjFGQ0YxRjlGOiIiJkYqLDAqJCZGJjYjSSJrR0YnRipGOSokJkYuRkxGKkY5KiZGKkYwRktGKkYqKiZGKkYwRk9GKkYqKiZGMkYxRktGMUY1KiZGMkYxRk9GMUY5RjpGSEYq
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosMCokJkYmNiNJImpHRidGKkY5KiQmRi5GQEYqRjkqJkY/RipGKkYwRioqJkZDRipGKkYwRioqJkYyRjFGP0YxRjUqJkYyRjFGQ0YxRjlGOiIiJkYqLDQqKEYqRjBGMkYxJkYmNiNJImtHRidGMUYqKihGKkYwRjJGMSZGLkZMRjEhIicqJkYqRjBGS0YqRjkqJkYqRjBGT0YqRjkqJkYyRjFGT0YxRjMqJEZLRipGOSokRk9GKkY5RjoiIiQiIidGMUYq
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosMCokJkYmNiNJImpHRidGKkY5KiQmRi5GQEYqRjkqJkY/RipGKkYwRioqJkZDRipGKkYwRioqJkYyRjFGP0YxRjUqJkYyRjFGQ0YxRjlGOiIiJkYqLC4qJCZGJjYjSSJrR0YnRipGKiokJkYuRkxGKkYqKiZGMkYxRktGMUYqKiZGMkYxRk9GMUYqRjpGMUYxRjFGKg==
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosNCooRipGMEYyRjEmRiY2I0kiakdGJ0YxRioqKEYqRjBGMkYxJkYuRkBGMSEiJyomRj9GKkYqRjBGOSomRkNGKkYqRjBGOSomRjJGMUZDRjFGMyokRj9GKkY5KiRGQ0YqRjlGOiIiJCIiJ0YxRiosNCooRipGMEYyRjEmRiY2I0kia0dGJ0YxRioqKEYqRjBGMkYxJkYuRk9GMUZEKiZGKkYwRk5GKkY5KiZGKkYwRlJGKkY5KiZGMkYxRlJGMUYzKiRGTkYqRjkqJEZSRipGOUY6RkpGS0YxRio=
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosNCooRipGMEYyRjEmRiY2I0kiakdGJ0YxRioqKEYqRjBGMkYxJkYuRkBGMSEiJyomRj9GKkYqRjBGOSomRkNGKkYqRjBGOSomRjJGMUZDRjFGMyokRj9GKkY5KiRGQ0YqRjlGOiIiJCIiJ0YxRiosLiokJkYmNiNJImtHRidGKkYqKiQmRi5GT0YqRioqJkYyRjFGTkYxRioqJkYyRjFGUkYxRipGOkYxRjFGMUYq
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYtRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMUYzKiZGMkYxRi1GMSIiJSokRipGMCEiIiEiI0YxRiosLiokJkYmNiNJImpHRidGKkYqKiQmRi5GQEYqRioqJkYyRjFGP0YxRioqJkYyRjFGQ0YxRipGOkYxRjFGMUYqLC4qJCZGJjYjSSJrR0YnRipGKiokJkYuRklGKkYqKiZGMkYxRkhGMUYqKiZGMkYxRkxGMUYqRjpGMUYxRjFGKg==
KigsMCokJkkieEc2IjYjSSJpR0YnIiIjIiIlKiQmSSJ5R0YnRihGKkYrKiZGJUYqRiojIiIiRipGKiomRi1GKkYqRjBGKiomRiVGMUkjeGlHRidGMSEiKSomRjRGMUYtRjFGKyokRipGMCIiJkYqLDAqJCZGJjYjSSJqR0YnRipGKyokJkYuRjxGKkYrKiZGO0YqRipGMEYqKiZGP0YqRipGMEYqKiZGNEYxRjtGMUY1KiZGNEYxRj9GMUYrRjdGOEYqLDAqJCZGJjYjSSJrR0YnRipGKyokJkYuRkdGKkYrKiZGKkYwRkZGKkYqKiZGKkYwRkpGKkYqKiZGNEYxRkZGMUY1KiZGNEYxRkpGMUYrRjdGOEYq
KigsMCokJkkieEc2IjYjSSJpR0YnIiIjIiIlKiQmSSJ5R0YnRihGKkYrKiZGJUYqRiojIiIiRipGKiomRi1GKkYqRjBGKiomRiVGMUkjeGlHRidGMSEiKSomRjRGMUYtRjFGKyokRipGMCIiJkYqLDAqJCZGJjYjSSJqR0YnRipGKyokJkYuRjxGKkYrKiZGO0YqRipGMEYqKiZGP0YqRipGMEYqKiZGNEYxRjtGMUY1KiZGNEYxRj9GMUYrRjdGOEYqLDQqKEYqRjBGNEYxJkYmNiNJImtHRidGMUYqKihGKkYwRjRGMSZGLkZHRjEhIicqJkYqRjBGRkYqRisqJkYqRjBGSkYqRisqJkY0RjFGSkYxISIlKiRGRkYqRisqJEZKRipGK0Y3IiIkIiInRjFGKg==
KigsMCokJkkieEc2IjYjSSJpR0YnIiIjIiIlKiQmSSJ5R0YnRihGKkYrKiZGJUYqRiojIiIiRipGKiomRi1GKkYqRjBGKiomRiVGMUkjeGlHRidGMSEiKSomRjRGMUYtRjFGKyokRipGMCIiJkYqLDAqJCZGJjYjSSJqR0YnRipGKyokJkYuRjxGKkYrKiZGO0YqRipGMEYqKiZGP0YqRipGMEYqKiZGNEYxRjtGMUY1KiZGNEYxRj9GMUYrRjdGOEYqLC4qJCZGJjYjSSJrR0YnRipGKiokJkYuRkdGKkYqKiZGNEYxRkZGMUYqKiZGNEYxRkpGMUYqRjdGMUYxRjFGKg==
KigsMCokJkkieEc2IjYjSSJpR0YnIiIjIiIlKiQmSSJ5R0YnRihGKkYrKiZGJUYqRiojIiIiRipGKiomRi1GKkYqRjBGKiomRiVGMUkjeGlHRidGMSEiKSomRjRGMUYtRjFGKyokRipGMCIiJkYqLDQqKEYqRjBGNEYxJkYmNiNJImpHRidGMUYqKihGKkYwRjRGMSZGLkY8RjEhIicqJkY7RipGKkYwRisqJkY/RipGKkYwRisqJkY0RjFGP0YxISIlKiRGO0YqRisqJEY/RipGK0Y3IiIkIiInRjFGKiw0KihGKkYwRjRGMSZGJjYjSSJrR0YnRjFGKiooRipGMEY0RjEmRi5GTEYxRkAqJkYqRjBGS0YqRisqJkYqRjBGT0YqRisqJkY0RjFGT0YxRkQqJEZLRipGKyokRk9GKkYrRjdGR0ZIRjFGKg==
KigsMCokJkkieEc2IjYjSSJpR0YnIiIjIiIlKiQmSSJ5R0YnRihGKkYrKiZGJUYqRiojIiIiRipGKiomRi1GKkYqRjBGKiomRiVGMUkjeGlHRidGMSEiKSomRjRGMUYtRjFGKyokRipGMCIiJkYqLDQqKEYqRjBGNEYxJkYmNiNJImpHRidGMUYqKihGKkYwRjRGMSZGLkY8RjEhIicqJkY7RipGKkYwRisqJkY/RipGKkYwRisqJkY0RjFGP0YxISIlKiRGO0YqRisqJEY/RipGK0Y3IiIkIiInRjFGKiwuKiQmRiY2I0kia0dGJ0YqRioqJCZGLkZMRipGKiomRjRGMUZLRjFGKiomRjRGMUZPRjFGKkY3RjFGMUYxRio=
KigsMCokJkkieEc2IjYjSSJpR0YnIiIjIiIlKiQmSSJ5R0YnRihGKkYrKiZGJUYqRiojIiIiRipGKiomRi1GKkYqRjBGKiomRiVGMUkjeGlHRidGMSEiKSomRjRGMUYtRjFGKyokRipGMCIiJkYqLC4qJCZGJjYjSSJqR0YnRipGKiokJkYuRjxGKkYqKiZGNEYxRjtGMUYqKiZGNEYxRj9GMUYqRjdGMUYxRjFGKiwuKiQmRiY2I0kia0dGJ0YqRioqJCZGLkZFRipGKiomRjRGMUZERjFGKiomRjRGMUZIRjFGKkY3RjFGMUYxRio=
KigsNCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYoRidGL0YnISIlKiRGKkYlRjMqJEYvRiVGMyokRiVGJiIiJCIiJ0YnRiUsNCooRiVGJkYoRicmRis2I0kiakdGKUYnRiUqKEYlRiZGKEYnJkYwRj9GJ0YxKiZGPkYlRiVGJkYzKiZGQkYlRiVGJkYzKiZGKEYnRkJGJ0Y2KiRGPkYlRjMqJEZCRiVGM0Y5RjpGO0YnRiUsNCooRiVGJkYoRicmRis2I0kia0dGKUYnRiUqKEYlRiZGKEYnJkYwRktGJ0YxKiZGJUYmRkpGJUYzKiZGJUYmRk5GJUYzKiZGKEYnRk5GJ0Y2KiRGSkYlRjMqJEZORiVGM0Y5RjpGO0YnRiU=
KigsNCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYoRidGL0YnISIlKiRGKkYlRjMqJEYvRiVGMyokRiVGJiIiJCIiJ0YnRiUsNCooRiVGJkYoRicmRis2I0kiakdGKUYnRiUqKEYlRiZGKEYnJkYwRj9GJ0YxKiZGPkYlRiVGJkYzKiZGQkYlRiVGJkYzKiZGKEYnRkJGJ0Y2KiRGPkYlRjMqJEZCRiVGM0Y5RjpGO0YnRiUsLiokJkYrNiNJImtHRilGJUYlKiQmRjBGS0YlRiUqJkYoRidGSkYnRiUqJkYoRidGTkYnRiVGOUYnRidGJ0Yl
KigsNCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYoRidGL0YnISIlKiRGKkYlRjMqJEYvRiVGMyokRiVGJiIiJCIiJ0YnRiUsLiokJkYrNiNJImpHRilGJUYlKiQmRjBGP0YlRiUqJkYoRidGPkYnRiUqJkYoRidGQkYnRiVGOUYnRidGJ0YlLC4qJCZGKzYjSSJrR0YpRiVGJSokJkYwRkhGJUYlKiZGKEYnRkdGJ0YlKiZGKEYnRktGJ0YlRjlGJ0YnRidGJQ==
KigsLiokJkkieEc2IjYjSSJpR0YnIiIjRioqJCZJInlHRidGKEYqRioqJkYlIiIiSSN4aUdGJ0YvRioqJkYwRi9GLEYvRioqJEYqI0YvRipGL0YvRi9GKiwuKiQmRiY2I0kiakdGJ0YqRioqJCZGLUY3RipGKiomRjBGL0Y2Ri9GKiomRjBGL0Y6Ri9GKkYyRi9GL0YvRiosLiokJkYmNiNJImtHRidGKkYqKiQmRi1GQEYqRioqJkYwRi9GP0YvRioqJkYwRi9GQ0YvRipGMkYvRi9GL0Yq
JSFH
# We go on to compute the denominators for R3S1:
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
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwuKihGJUYmRihGJyZGKzYjSSJqR0YpRidGLiooRiVGJkYoRicmRjFGOUYnRi4qJkY4RiVGJUYmRi4qJkY8RiVGJUYmRi5GNEY1Ri5GJ0YlLC4qKEYlRiZGKEYnJkYrNiNJImtHRilGJ0YuKihGJUYmRihGJyZGMUZCRidGLiomRiVGJkZBRiVGLiomRiVGJkZFRiVGLkY0RjVGLkYnRiU=
KiosLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwuKihGJUYmRihGJyZGKzYjSSJqR0YpRidGLiooRiVGJkYoRicmRjFGOUYnRi4qJkY4RiVGJUYmRi4qJkY8RiVGJUYmRi5GNEY1Ri5GJ0YlLDAqKEYlRiZGKEYnJkYrNiNJImtHRilGJyIiJSooRiVGJkYoRicmRjFGQkYnRi4qJkYlRiZGQUYlRi4qJkYlRiZGRkYlRi4qJkYoRidGQUYnRi4qJkYoRidGRkYnRiUhIiRGJ0YnLDgqKEYlRiZGKEYlRkFGJUYlKihGJUYmRihGJUZGRiVGJUZARkRGRUYuRkchIiVGSEZPRklGLkZKRiUqJEZBRiVGTyokRkZGJUZPRktGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwuKihGJUYmRihGJyZGKzYjSSJqR0YpRidGLiooRiVGJkYoRicmRjFGOUYnRi4qJkY4RiVGJUYmRi4qJkY8RiVGJUYmRi5GNEY1Ri5GJ0YlLDAqKEYlRiZGKEYnJkYrNiNJImtHRilGJ0YlKihGJUYmRihGJyZGMUZCRichIiUqJkYlRiZGQUYlRiUqJkYlRiZGRUYlRiUqJEZBRiVGJSokRkVGJUYlIiImRidGJQ==
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwuKihGJUYmRihGJyZGKzYjSSJqR0YpRidGLiooRiVGJkYoRicmRjFGOUYnRi4qJkY4RiVGJUYmRi4qJkY8RiVGJUYmRi5GNEY1Ri5GJ0YlLDQqJCZGKzYjSSJrR0YpRiUiIikqJCZGMUZCRiVGRCooRiVGJkYoRidGQUYnISIlKiZGJUYmRkFGJSEiKSomRiVGJkZGRiVGSiomRihGJ0ZBRiciIiUqJkYoRidGRkYnRkhGNEY1Ri5GJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwuKihGJUYmRihGJyZGKzYjSSJqR0YpRidGLiooRiVGJkYoRicmRjFGOUYnRi4qJkY4RiVGJUYmRi4qJkY8RiVGJUYmRi5GNEY1Ri5GJ0YlLDAqJkYlRiYmRis2I0kia0dGKUYlRiUqJkYlRiYmRjFGQkYlRiUqJkYoRidGQUYnISInKiZGKEYnRkVGJ0YuKiRGQUYlRiUqJEZFRiVGJSIiJkYnRiU=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwuKihGJUYmRihGJyZGKzYjSSJqR0YpRidGLiooRiVGJkYoRicmRjFGOUYnRi4qJkY4RiVGJUYmRi4qJkY8RiVGJUYmRi5GNEY1Ri5GJ0YlLDYqKEYlRiZGKEYnJkYrNiNJImtHRilGJ0YlKihGJUYmRihGJyZGMUZCRidGLiomRiVGJkZBRiUiIiUqJkYlRiZGRUYlRkcqJkYoRidGQUYnIiIpKiZGKEYnRkVGJyEiJSokRkFGJUZHKiRGRUYlRkdGNCIiJCIiJ0YnRiU=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwuKihGJUYmRihGJyZGKzYjSSJqR0YpRidGLiooRiVGJkYoRicmRjFGOUYnRi4qJkY4RiVGJUYmRi4qJkY8RiVGJUYmRi5GNEY1Ri5GJ0YlLCwqJCZGKzYjSSJrR0YpRiVGJSokJkYxRkJGJUYlKihGJUYmRihGJ0ZFRidGJUY0RidGJ0YnRiU=
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
KiosLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwwKihGJUYmRihGJyZGKzYjSSJqR0YpRiciIiUqKEYlRiZGKEYnJkYxRjlGJ0YuKiZGOEYlRiVGJkYuKiZGPUYlRiVGJkYuKiZGKEYnRjhGJ0YuKiZGKEYnRj1GJ0YlISIkRidGJywsKiQmRis2I0kia0dGKUYlRiUqJCZGMUZGRiVGJSooRiVGJkYoRidGSUYnRiVGNEYnRidGJ0YlLDgqKEYlRiZGKEYlRjhGJUYlKihGJUYmRihGJUY9RiVGJUY3RjtGPEYuRj4hIiVGP0ZORkBGLkZBRiUqJEY4RiVGTiokRj1GJUZORkJGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwwKihGJUYmRihGJyZGKzYjSSJqR0YpRidGJSooRiVGJkYoRicmRjFGOUYnISIlKiZGOEYlRiVGJkYlKiZGPEYlRiVGJkYlKiRGOEYlRiUqJEY8RiVGJSIiJkYnRiUsMCooRiVGJkYoRicmRis2I0kia0dGKUYnRiUqKEYlRiZGKEYnJkYxRkZGJ0Y9KiZGJUYmRkVGJUYlKiZGJUYmRklGJUYlKiRGRUYlRiUqJEZJRiVGJUZCRidGJQ==
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwwKihGJUYmRihGJyZGKzYjSSJqR0YpRidGJSooRiVGJkYoRicmRjFGOUYnISIlKiZGOEYlRiVGJkYlKiZGPEYlRiVGJkYlKiRGOEYlRiUqJEY8RiVGJSIiJkYnRiUsNCokJkYrNiNJImtHRilGJSIiKSokJkYxRkZGJUZIKihGJUYmRihGJ0ZFRidGPSomRiVGJkZFRiUhIikqJkYlRiZGSkYlRk0qJkYoRidGRUYnIiIlKiZGKEYnRkpGJ0Y9RjRGNUYuRidGJQ==
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwwKihGJUYmRihGJyZGKzYjSSJqR0YpRidGJSooRiVGJkYoRicmRjFGOUYnISIlKiZGOEYlRiVGJkYlKiZGPEYlRiVGJkYlKiRGOEYlRiUqJEY8RiVGJSIiJkYnRiUsMComRiVGJiZGKzYjSSJrR0YpRiVGJSomRiVGJiZGMUZGRiVGJSomRihGJ0ZFRichIicqJkYoRidGSUYnRi4qJEZFRiVGJSokRklGJUYlRkJGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwwKihGJUYmRihGJyZGKzYjSSJqR0YpRidGJSooRiVGJkYoRicmRjFGOUYnISIlKiZGOEYlRiVGJkYlKiZGPEYlRiVGJkYlKiRGOEYlRiUqJEY8RiVGJSIiJkYnRiUsNiooRiVGJkYoRicmRis2I0kia0dGKUYnRiUqKEYlRiZGKEYnJkYxRkZGJ0YuKiZGJUYmRkVGJSIiJSomRiVGJkZJRiVGSyomRihGJ0ZFRiciIikqJkYoRidGSUYnRj0qJEZFRiVGSyokRklGJUZLRjQiIiQiIidGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwwKihGJUYmRihGJyZGKzYjSSJqR0YpRidGJSooRiVGJkYoRicmRjFGOUYnISIlKiZGOEYlRiVGJkYlKiZGPEYlRiVGJkYlKiRGOEYlRiUqJEY8RiVGJSIiJkYnRiUsLCokJkYrNiNJImtHRilGJUYlKiQmRjFGRkYlRiUqKEYlRiZGKEYnRklGJ0YlRjRGJ0YnRidGJQ==
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSw0KiQmRis2I0kiakdGKUYlIiIpKiQmRjFGOUYlRjsqKEYlRiZGKEYnRjhGJyEiJSomRjhGJUYlRiYhIikqJkY9RiVGJUYmRkEqJkYoRidGOEYnIiIlKiZGKEYnRj1GJ0Y/RjRGNUYuRidGJSw0KiQmRis2I0kia0dGKUYlRjsqJCZGMUZJRiVGOyooRiVGJkYoRidGSEYnRj8qJkYlRiZGSEYlRkEqJkYlRiZGTEYlRkEqJkYoRidGSEYnRkQqJkYoRidGTEYnRj9GNEY1Ri5GJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSw0KiQmRis2I0kiakdGKUYlIiIpKiQmRjFGOUYlRjsqKEYlRiZGKEYnRjhGJyEiJSomRjhGJUYlRiYhIikqJkY9RiVGJUYmRkEqJkYoRidGOEYnIiIlKiZGKEYnRj1GJ0Y/RjRGNUYuRidGJSwwKiZGJUYmJkYrNiNJImtHRilGJUYlKiZGJUYmJkYxRklGJUYlKiZGKEYnRkhGJyEiJyomRihGJ0ZMRidGLiokRkhGJUYlKiRGTEYlRiUiIiZGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSw0KiQmRis2I0kiakdGKUYlIiIpKiQmRjFGOUYlRjsqKEYlRiZGKEYnRjhGJyEiJSomRjhGJUYlRiYhIikqJkY9RiVGJUYmRkEqJkYoRidGOEYnIiIlKiZGKEYnRj1GJ0Y/RjRGNUYuRidGJSw2KihGJUYmRihGJyZGKzYjSSJrR0YpRidGJSooRiVGJkYoRicmRjFGSUYnRi4qJkYlRiZGSEYlRkQqJkYlRiZGTEYlRkQqJkYoRidGSEYnRjsqJkYoRidGTEYnRj8qJEZIRiVGRCokRkxGJUZERjQiIiQiIidGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSw0KiQmRis2I0kiakdGKUYlIiIpKiQmRjFGOUYlRjsqKEYlRiZGKEYnRjhGJyEiJSomRjhGJUYlRiYhIikqJkY9RiVGJUYmRkEqJkYoRidGOEYnIiIlKiZGKEYnRj1GJ0Y/RjRGNUYuRidGJSwsKiQmRis2I0kia0dGKUYlRiUqJCZGMUZJRiVGJSooRiVGJkYoRidGTEYnRiVGNEYnRidGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwwKiYmRis2I0kiakdGKUYlRiVGJkYlKiYmRjFGOUYlRiVGJkYlKiZGKEYnRjhGJyEiJyomRihGJ0Y8RidGLiokRjhGJUYlKiRGPEYlRiUiIiZGJ0YlLDAqJkYlRiYmRis2I0kia0dGKUYlRiUqJkYlRiYmRjFGRkYlRiUqJkYoRidGRUYnRj4qJkYoRidGSUYnRi4qJEZFRiVGJSokRklGJUYlRkJGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwwKiYmRis2I0kiakdGKUYlRiVGJkYlKiYmRjFGOUYlRiVGJkYlKiZGKEYnRjhGJyEiJyomRihGJ0Y8RidGLiokRjhGJUYlKiRGPEYlRiUiIiZGJ0YlLDYqKEYlRiZGKEYnJkYrNiNJImtHRilGJ0YlKihGJUYmRihGJyZGMUZGRidGLiomRiVGJkZFRiUiIiUqJkYlRiZGSUYlRksqJkYoRidGRUYnIiIpKiZGKEYnRklGJyEiJSokRkVGJUZLKiRGSUYlRktGNCIiJCIiJ0YnRiU=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwwKiYmRis2I0kiakdGKUYlRiVGJkYlKiYmRjFGOUYlRiVGJkYlKiZGKEYnRjhGJyEiJyomRihGJ0Y8RidGLiokRjhGJUYlKiRGPEYlRiUiIiZGJ0YlLCwqJCZGKzYjSSJrR0YpRiVGJSokJkYxRkZGJUYlKihGJUYmRihGJ0ZJRidGJUY0RidGJ0YnRiU=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSw2KihGJUYmRihGJyZGKzYjSSJqR0YpRidGJSooRiVGJkYoRicmRjFGOUYnRi4qJkY4RiVGJUYmIiIlKiZGPEYlRiVGJkY+KiZGKEYnRjhGJyIiKSomRihGJ0Y8RichIiUqJEY4RiVGPiokRjxGJUY+RjQiIiQiIidGJ0YlLDYqKEYlRiZGKEYnJkYrNiNJImtHRilGJ0YlKihGJUYmRihGJyZGMUZLRidGLiomRiVGJkZKRiVGPiomRiVGJkZORiVGPiomRihGJ0ZKRidGQSomRihGJ0ZORidGQyokRkpGJUY+KiRGTkYlRj5GNEZGRkdGJ0Yl
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSw2KihGJUYmRihGJyZGKzYjSSJqR0YpRidGJSooRiVGJkYoRicmRjFGOUYnRi4qJkY4RiVGJUYmIiIlKiZGPEYlRiVGJkY+KiZGKEYnRjhGJyIiKSomRihGJ0Y8RichIiUqJEY4RiVGPiokRjxGJUY+RjQiIiQiIidGJ0YlLCwqJCZGKzYjSSJrR0YpRiVGJSokJkYxRktGJUYlKihGJUYmRihGJ0ZORidGJUY0RidGJ0YnRiU=
KigsLiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRichIiMqKEYlRiZGKEYnJkkieUdGKUYsRidGLiomRipGJUYlRiZGLiomRjBGJUYlRiZGLiokRiVGJiEiIkYuRidGJSwsKiQmRis2I0kiakdGKUYlRiUqJCZGMUY5RiVGJSooRiVGJkYoRidGPEYnRiVGNEYnRidGJ0YlLCwqJCZGKzYjSSJrR0YpRiVGJSokJkYxRkFGJUYlKihGJUYmRihGJ0ZERidGJUY0RidGJ0YnRiU=
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
KiwsOCooJkkieEc2IjYjSSJpR0YnIiIjSSN4aUdGJ0YqRiojIiIiRipGKiooRitGKiZJInlHRidGKEYqRipGLEYqKihGKkYsRitGLUYlRi0iIiUqKEYqRixGK0YtRi9GLSEiIyomRiVGKkYqRiwhIiUqJkYvRipGKkYsRjYqJkYlRi1GK0YtRjQqJkYrRi1GL0YtRioqJEYlRipGNiokRi9GKkY2ISIkRi1GKiwwKihGKkYsRitGLSZGJjYjSSJqR0YnRi1GMiooRipGLEYrRi0mRjBGQEYtRjQqJkY/RipGKkYsRjQqJkZDRipGKkYsRjQqJkYrRi1GP0YtRjQqJkYrRi1GQ0YtRipGPEYtRi0sMComRipGLCZGJjYjSSJrR0YnRipGKiomRipGLCZGMEZLRipGKiomRitGLUZKRi0hIicqJkYrRi1GTkYtRjQqJEZKRipGKiokRk5GKkYqIiImRi1GKiw4KihGKkYsRitGKkY/RipGKiooRipGLEYrRipGQ0YqRipGPkYyRkJGNEZERjZGRUY2RkZGNEZHRioqJEY/RipGNiokRkNGKkY2RjxGLUYqLDBGMUYyRjNGNEY1RjRGN0Y0RjhGNEY5RipGPEYtRi0=
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
KiosOCooJkkieEc2IjYjSSJpR0YnIiIjSSN4aUdGJ0YqRiojIiIiRipGKiooRitGKiZJInlHRidGKEYqRipGLEYqKihGKkYsRitGLUYlRi0iIiUqKEYqRixGK0YtRi9GLSEiIyomRiVGKkYqRiwhIiUqJkYvRipGKkYsRjYqJkYlRi1GK0YtRjQqJkYrRi1GL0YtRioqJEYlRipGNiokRi9GKkY2ISIkRi1GKiwwKihGKkYsRitGLSZGJjYjSSJqR0YnRi1GKiooRipGLEYrRi0mRjBGQEYtRjYqJkY/RipGKkYsRioqJkZDRipGKkYsRioqJEY/RipGKiokRkNGKkYqIiImRi1GKiwsKiQmRiY2I0kia0dGJ0YqRioqJCZGMEZMRipGKiooRipGLEYrRi1GT0YtRioqJEYqRixGLUYtRi1GKiwwRjFGMkYzRjRGNUY0RjdGNEY4RjRGOUYqRjxGLUYt
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
KiosOCooJkkieEc2IjYjSSJpR0YnIiIjSSN4aUdGJ0YqRiojIiIiRipGKiooRitGKiZJInlHRidGKEYqRipGLEYqKihGKkYsRitGLUYlRi0iIiUqKEYqRixGK0YtRi9GLSEiIyomRiVGKkYqRiwhIiUqJkYvRipGKkYsRjYqJkYlRi1GK0YtRjQqJkYrRi1GL0YtRioqJEYlRipGNiokRi9GKkY2ISIkRi1GKiw0KiQmRiY2I0kiakdGJ0YqIiIpKiQmRjBGQEYqRkIqKEYqRixGK0YtRj9GLUY2KiZGP0YqRipGLCEiKSomRkRGKkYqRixGRyomRitGLUY/Ri1GMiomRitGLUZERi1GNiokRipGLCEiIkY0Ri1GKiwsKiQmRiY2I0kia0dGJ0YqRioqJCZGMEZQRipGKiooRipGLEYrRi1GU0YtRipGS0YtRi1GLUYqLDBGMUYyRjNGNEY1RjRGN0Y0RjhGNEY5RipGPEYtRi0=
KiosOCooJkkieEc2IjYjSSJpR0YnIiIjSSN4aUdGJ0YqRiojIiIiRipGKiooRitGKiZJInlHRidGKEYqRipGLEYqKihGKkYsRitGLUYlRi0iIiUqKEYqRixGK0YtRi9GLSEiIyomRiVGKkYqRiwhIiUqJkYvRipGKkYsRjYqJkYlRi1GK0YtRjQqJkYrRi1GL0YtRioqJEYlRipGNiokRi9GKkY2ISIkRi1GKiwwKiYmRiY2I0kiakdGJ0YqRipGLEYqKiYmRjBGQEYqRipGLEYqKiZGK0YtRj9GLSEiJyomRitGLUZDRi1GNCokRj9GKkYqKiRGQ0YqRioiIiZGLUYqLDAqJkYqRiwmRiY2I0kia0dGJ0YqRioqJkYqRiwmRjBGTUYqRioqJkYrRi1GTEYtRkUqJkYrRi1GUEYtRjQqJEZMRipGKiokRlBGKkYqRklGLUYqLDBGMUYyRjNGNEY1RjRGN0Y0RjhGNEY5RipGPEYtRi0=
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
KiosOCooJkkieEc2IjYjSSJpR0YnIiIjSSN4aUdGJ0YqRiojIiIiRipGKiooRitGKiZJInlHRidGKEYqRipGLEYqKihGKkYsRitGLUYlRi0iIiUqKEYqRixGK0YtRi9GLSEiIyomRiVGKkYqRiwhIiUqJkYvRipGKkYsRjYqJkYlRi1GK0YtRjQqJkYrRi1GL0YtRioqJEYlRipGNiokRi9GKkY2ISIkRi1GKiwwKiYmRiY2I0kiakdGJ0YqRipGLEYqKiYmRjBGQEYqRipGLEYqKiZGK0YtRj9GLSEiJyomRitGLUZDRi1GNCokRj9GKkYqKiRGQ0YqRioiIiZGLUYqLCwqJCZGJjYjSSJrR0YnRipGKiokJkYwRk1GKkYqKihGKkYsRitGLUZQRi1GKiokRipGLEYtRi1GLUYqLDBGMUYyRjNGNEY1RjRGN0Y0RjhGNEY5RipGPEYtRi0=
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
KiosOCooJkkieEc2IjYjSSJpR0YnIiIjSSN4aUdGJ0YqRiojIiIiRipGKiooRitGKiZJInlHRidGKEYqRipGLEYqKihGKkYsRitGLUYlRi0iIiUqKEYqRixGK0YtRi9GLSEiIyomRiVGKkYqRiwhIiUqJkYvRipGKkYsRjYqJkYlRi1GK0YtRjQqJkYrRi1GL0YtRioqJEYlRipGNiokRi9GKkY2ISIkRi1GKiwsKiQmRiY2I0kiakdGJ0YqRioqJCZGMEZARipGKiooRipGLEYrRi1GQ0YtRioqJEYqRixGLUYtRi1GKiwsKiQmRiY2I0kia0dGJ0YqRioqJCZGMEZJRipGKiooRipGLEYrRi1GTEYtRipGRUYtRi1GLUYqLDBGMUYyRjNGNEY1RjRGN0Y0RjhGNEY5RipGPEYtRi0=
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDAqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMEY6RidGMSomRjlGJUYlRiZGJSomRj1GJUYlRiZGJSokRjlGJUYlKiRGPUYlRiVGNkYnRiUsMCooRiVGJkYoRicmRis2I0kia0dGKUYnRiUqKEYlRiZGKEYnJkYwRkVGJ0YxKiZGJUYmRkRGJUYlKiZGJUYmRkhGJUYlKiRGREYlRiUqJEZIRiVGJUY2RidGJQ==
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDAqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMEY6RidGMSomRjlGJUYlRiZGJSomRj1GJUYlRiZGJSokRjlGJUYlKiRGPUYlRiVGNkYnRiUsNCokJkYrNiNJImtHRilGJSIiKSokJkYwRkVGJUZHKihGJUYmRihGJ0ZERidGMSomRiVGJkZERiUhIikqJkYlRiZGSUYlRkwqJkYoRidGREYnIiIlKiZGKEYnRklGJ0YxKiRGJUYmISIiISIjRidGJQ==
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDAqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMEY6RidGMSomRjlGJUYlRiZGJSomRj1GJUYlRiZGJSokRjlGJUYlKiRGPUYlRiVGNkYnRiUsMComRiVGJiZGKzYjSSJrR0YpRiVGJSomRiVGJiZGMEZFRiVGJSomRihGJ0ZERichIicqJkYoRidGSEYnISIjKiRGREYlRiUqJEZIRiVGJUY2RidGJQ==
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDAqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMEY6RidGMSomRjlGJUYlRiZGJSomRj1GJUYlRiZGJSokRjlGJUYlKiRGPUYlRiVGNkYnRiUsNiooRiVGJkYoRicmRis2I0kia0dGKUYnRiUqKEYlRiZGKEYnJkYwRkVGJyEiIyomRiVGJkZERiUiIiUqJkYlRiZGSEYlRksqJkYoRidGREYnIiIpKiZGKEYnRkhGJ0YxKiRGREYlRksqJEZIRiVGSyokRiVGJiIiJCIiJ0YnRiU=
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDAqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMEY6RidGMSomRjlGJUYlRiZGJSomRj1GJUYlRiZGJSokRjlGJUYlKiRGPUYlRiVGNkYnRiUsLCokJkYrNiNJImtHRilGJUYlKiQmRjBGRUYlRiUqKEYlRiZGKEYnRkhGJ0YlKiRGJUYmRidGJ0YnRiU=
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDQqJCZGKzYjSSJqR0YpRiUiIikqJCZGMEY6RiVGPCooRiVGJkYoRidGOUYnRjEqJkY5RiVGJUYmISIpKiZGPkYlRiVGJkZBKiZGKEYnRjlGJyIiJSomRihGJ0Y+RidGMSokRiVGJiEiIiEiI0YnRiUsNCokJkYrNiNJImtHRilGJUY8KiQmRjBGTEYlRjwqKEYlRiZGKEYnRktGJ0YxKiZGJUYmRktGJUZBKiZGJUYmRk9GJUZBKiZGKEYnRktGJ0ZEKiZGKEYnRk9GJ0YxRkZGR0ZIRidGJQ==
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDQqJCZGKzYjSSJqR0YpRiUiIikqJCZGMEY6RiVGPCooRiVGJkYoRidGOUYnRjEqJkY5RiVGJUYmISIpKiZGPkYlRiVGJkZBKiZGKEYnRjlGJyIiJSomRihGJ0Y+RidGMSokRiVGJiEiIiEiI0YnRiUsMComRiVGJiZGKzYjSSJrR0YpRiVGJSomRiVGJiZGMEZMRiVGJSomRihGJ0ZLRichIicqJkYoRidGT0YnRkgqJEZLRiVGJSokRk9GJUYlRjZGJ0Yl
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDQqJCZGKzYjSSJqR0YpRiUiIikqJCZGMEY6RiVGPCooRiVGJkYoRidGOUYnRjEqJkY5RiVGJUYmISIpKiZGPkYlRiVGJkZBKiZGKEYnRjlGJyIiJSomRihGJ0Y+RidGMSokRiVGJiEiIiEiI0YnRiUsNiooRiVGJkYoRicmRis2I0kia0dGKUYnRiUqKEYlRiZGKEYnJkYwRkxGJ0ZIKiZGJUYmRktGJUZEKiZGJUYmRk9GJUZEKiZGKEYnRktGJ0Y8KiZGKEYnRk9GJ0YxKiRGS0YlRkQqJEZPRiVGREZGIiIkIiInRidGJQ==
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDQqJCZGKzYjSSJqR0YpRiUiIikqJCZGMEY6RiVGPCooRiVGJkYoRidGOUYnRjEqJkY5RiVGJUYmISIpKiZGPkYlRiVGJkZBKiZGKEYnRjlGJyIiJSomRihGJ0Y+RidGMSokRiVGJiEiIiEiI0YnRiUsLCokJkYrNiNJImtHRilGJUYlKiQmRjBGTEYlRiUqKEYlRiZGKEYnRk9GJ0YlRkZGJ0YnRidGJQ==
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDAqJiZGKzYjSSJqR0YpRiVGJUYmRiUqJiZGMEY6RiVGJUYmRiUqJkYoRidGOUYnISInKiZGKEYnRj1GJyEiIyokRjlGJUYlKiRGPUYlRiVGNkYnRiUsMComRiVGJiZGKzYjSSJrR0YpRiVGJSomRiVGJiZGMEZHRiVGJSomRihGJ0ZGRidGPyomRihGJ0ZKRidGQSokRkZGJUYlKiRGSkYlRiVGNkYnRiU=
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDAqJiZGKzYjSSJqR0YpRiVGJUYmRiUqJiZGMEY6RiVGJUYmRiUqJkYoRidGOUYnISInKiZGKEYnRj1GJyEiIyokRjlGJUYlKiRGPUYlRiVGNkYnRiUsNiooRiVGJkYoRicmRis2I0kia0dGKUYnRiUqKEYlRiZGKEYnJkYwRkdGJ0ZBKiZGJUYmRkZGJSIiJSomRiVGJkZKRiVGTComRihGJ0ZGRiciIikqJkYoRidGSkYnRjEqJEZGRiVGTCokRkpGJUZMKiRGJUYmIiIkIiInRidGJQ==
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDAqJiZGKzYjSSJqR0YpRiVGJUYmRiUqJiZGMEY6RiVGJUYmRiUqJkYoRidGOUYnISInKiZGKEYnRj1GJyEiIyokRjlGJUYlKiRGPUYlRiVGNkYnRiUsLCokJkYrNiNJImtHRilGJUYlKiQmRjBGR0YlRiUqKEYlRiZGKEYnRkpGJ0YlKiRGJUYmRidGJ0YnRiU=
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDYqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMEY6RichIiMqJkY5RiVGJUYmIiIlKiZGPUYlRiVGJkZAKiZGKEYnRjlGJyIiKSomRihGJ0Y9RidGMSokRjlGJUZAKiRGPUYlRkAqJEYlRiYiIiQiIidGJ0YlLDYqKEYlRiZGKEYnJkYrNiNJImtHRilGJ0YlKihGJUYmRihGJyZGMEZNRidGPiomRiVGJkZMRiVGQComRiVGJkZQRiVGQComRihGJ0ZMRidGQyomRihGJ0ZQRidGMSokRkxGJUZAKiRGUEYlRkBGR0ZIRklGJ0Yl
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLDYqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMEY6RichIiMqJkY5RiVGJUYmIiIlKiZGPUYlRiVGJkZAKiZGKEYnRjlGJyIiKSomRihGJ0Y9RidGMSokRjlGJUZAKiRGPUYlRkAqJEYlRiYiIiQiIidGJ0YlLCwqJCZGKzYjSSJrR0YpRiVGJSokJkYwRk1GJUYlKihGJUYmRihGJ0ZQRidGJUZHRidGJ0YnRiU=
KigsMCooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiJSomRipGJUYlRiZGJSomRi9GJUYlRiZGJSokRipGJUYlKiRGL0YlRiUiIiZGJ0YlLCwqJCZGKzYjSSJqR0YpRiVGJSokJkYwRjpGJUYlKihGJUYmRihGJ0Y9RidGJSokRiVGJkYnRidGJ0YlLCwqJCZGKzYjSSJrR0YpRiVGJSokJkYwRkNGJUYlKihGJUYmRihGJ0ZGRidGJUY/RidGJ0YnRiU=
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosNCokJkYmNiNJImpHRidGKkYrKiQmRi5GQEYqRisqKEYqRjBGMkYxRj9GMUYzKiZGP0YqRipGMEY1KiZGQ0YqRipGMEY1KiZGMkYxRj9GMUY4KiZGMkYxRkNGMUYzRjpGO0Y8RjFGKiw0KiQmRiY2I0kia0dGJ0YqRisqJCZGLkZMRipGKyooRipGMEYyRjFGS0YxRjMqJkYqRjBGS0YqRjUqJkYqRjBGT0YqRjUqJkYyRjFGS0YxRjgqJkYyRjFGT0YxRjNGOkY7RjxGMUYq
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosNCokJkYmNiNJImpHRidGKkYrKiQmRi5GQEYqRisqKEYqRjBGMkYxRj9GMUYzKiZGP0YqRipGMEY1KiZGQ0YqRipGMEY1KiZGMkYxRj9GMUY4KiZGMkYxRkNGMUYzRjpGO0Y8RjFGKiwwKiZGKkYwJkYmNiNJImtHRidGKkYqKiZGKkYwJkYuRkxGKkYqKiZGMkYxRktGMSEiJyomRjJGMUZPRjFGPCokRktGKkYqKiRGT0YqRioiIiZGMUYq
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosNCokJkYmNiNJImpHRidGKkYrKiQmRi5GQEYqRisqKEYqRjBGMkYxRj9GMUYzKiZGP0YqRipGMEY1KiZGQ0YqRipGMEY1KiZGMkYxRj9GMUY4KiZGMkYxRkNGMUYzRjpGO0Y8RjFGKiw2KihGKkYwRjJGMSZGJjYjSSJrR0YnRjFGKiooRipGMEYyRjEmRi5GTEYxRjwqJkYqRjBGS0YqRjgqJkYqRjBGT0YqRjgqJkYyRjFGS0YxRisqJkYyRjFGT0YxRjMqJEZLRipGOCokRk9GKkY4RjoiIiQiIidGMUYq
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosNCokJkYmNiNJImpHRidGKkYrKiQmRi5GQEYqRisqKEYqRjBGMkYxRj9GMUYzKiZGP0YqRipGMEY1KiZGQ0YqRipGMEY1KiZGMkYxRj9GMUY4KiZGMkYxRkNGMUYzRjpGO0Y8RjFGKiwsKiQmRiY2I0kia0dGJ0YqRioqJCZGLkZMRipGKiooRipGMEYyRjFGT0YxRipGOkYxRjFGMUYq
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosMComJkYmNiNJImpHRidGKkYqRjBGKiomJkYuRkBGKkYqRjBGKiomRjJGMUY/RjEhIicqJkYyRjFGQ0YxRjwqJEY/RipGKiokRkNGKkYqIiImRjFGKiwwKiZGKkYwJkYmNiNJImtHRidGKkYqKiZGKkYwJkYuRk1GKkYqKiZGMkYxRkxGMUZFKiZGMkYxRlBGMUY8KiRGTEYqRioqJEZQRipGKkZJRjFGKg==
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosMComJkYmNiNJImpHRidGKkYqRjBGKiomJkYuRkBGKkYqRjBGKiomRjJGMUY/RjEhIicqJkYyRjFGQ0YxRjwqJEY/RipGKiokRkNGKkYqIiImRjFGKiw2KihGKkYwRjJGMSZGJjYjSSJrR0YnRjFGKiooRipGMEYyRjEmRi5GTUYxRjwqJkYqRjBGTEYqRjgqJkYqRjBGUEYqRjgqJkYyRjFGTEYxRisqJkYyRjFGUEYxRjMqJEZMRipGOCokRlBGKkY4RjoiIiQiIidGMUYq
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosMComJkYmNiNJImpHRidGKkYqRjBGKiomJkYuRkBGKkYqRjBGKiomRjJGMUY/RjEhIicqJkYyRjFGQ0YxRjwqJEY/RipGKiokRkNGKkYqIiImRjFGKiwsKiQmRiY2I0kia0dGJ0YqRioqJCZGLkZNRipGKiooRipGMEYyRjFGUEYxRipGOkYxRjFGMUYq
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
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosNiooRipGMEYyRjEmRiY2I0kiakdGJ0YxRioqKEYqRjBGMkYxJkYuRkBGMUY8KiZGP0YqRipGMEY4KiZGQ0YqRipGMEY4KiZGMkYxRj9GMUYrKiZGMkYxRkNGMUYzKiRGP0YqRjgqJEZDRipGOEY6IiIkIiInRjFGKiwsKiQmRiY2I0kia0dGJ0YqRioqJCZGLkZPRipGKiooRipGMEYyRjFGUkYxRipGOkYxRjFGMUYq
KigsNCokJkkieEc2IjYjSSJpR0YnIiIjIiIpKiQmSSJ5R0YnRihGKkYrKihGKiMiIiJGKkkjeGlHRidGMUYlRjEhIiUqJkYlRipGKkYwISIpKiZGLUYqRipGMEY1KiZGJUYxRjJGMSIiJSomRjJGMUYtRjFGMyokRipGMCEiIiEiI0YxRiosLCokJkYmNiNJImpHRidGKkYqKiQmRi5GQEYqRioqKEYqRjBGMkYxRkNGMUYqRjpGMUYxRjFGKiwsKiQmRiY2I0kia0dGJ0YqRioqJCZGLkZIRipGKiooRipGMEYyRjFGS0YxRipGOkYxRjFGMUYq
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIicqJkYxRixGLkYsISIjKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMComJkYmNiNJImpHRidGKkYqRitGKiomJkYvRjtGKkYqRitGKiomRjFGLEY6RixGMiomRjFGLEY+RixGNCokRjpGKkYqKiRGPkYqRipGN0YsRiosMComRipGKyZGJjYjSSJrR0YnRipGKiomRipGKyZGL0ZGRipGKiomRjFGLEZFRixGMiomRjFGLEZJRixGNCokRkVGKkYqKiRGSUYqRipGN0YsRio=
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIicqJkYxRixGLkYsISIjKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMComJkYmNiNJImpHRidGKkYqRitGKiomJkYvRjtGKkYqRitGKiomRjFGLEY6RixGMiomRjFGLEY+RixGNCokRjpGKkYqKiRGPkYqRipGN0YsRiosNiooRipGK0YxRiwmRiY2I0kia0dGJ0YsRioqKEYqRitGMUYsJkYvRkZGLEY0KiZGKkYrRkVGKiIiJSomRipGK0ZJRipGSyomRjFGLEZFRiwiIikqJkYxRixGSUYsISIlKiRGRUYqRksqJEZJRipGSyokRipGKyIiJCIiJ0YsRio=
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIicqJkYxRixGLkYsISIjKiRGJUYqRioqJEYuRipGKiIiJkYsRiosMComJkYmNiNJImpHRidGKkYqRitGKiomJkYvRjtGKkYqRitGKiomRjFGLEY6RixGMiomRjFGLEY+RixGNCokRjpGKkYqKiRGPkYqRipGN0YsRiosLCokJkYmNiNJImtHRidGKkYqKiQmRi9GRkYqRioqKEYqRitGMUYsRklGLEYqKiRGKkYrRixGLEYsRio=
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIicqJkYxRixGLkYsISIjKiRGJUYqRioqJEYuRipGKiIiJkYsRiosNiooRipGK0YxRiwmRiY2I0kiakdGJ0YsRioqKEYqRitGMUYsJkYvRjtGLEY0KiZGOkYqRipGKyIiJSomRj5GKkYqRitGQComRjFGLEY6RiwiIikqJkYxRixGPkYsISIlKiRGOkYqRkAqJEY+RipGQCokRipGKyIiJCIiJ0YsRiosNiooRipGK0YxRiwmRiY2I0kia0dGJ0YsRioqKEYqRitGMUYsJkYvRk5GLEY0KiZGKkYrRk1GKkZAKiZGKkYrRlFGKkZAKiZGMUYsRk1GLEZDKiZGMUYsRlFGLEZFKiRGTUYqRkAqJEZRRipGQEZIRklGSkYsRio=
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIicqJkYxRixGLkYsISIjKiRGJUYqRioqJEYuRipGKiIiJkYsRiosNiooRipGK0YxRiwmRiY2I0kiakdGJ0YsRioqKEYqRitGMUYsJkYvRjtGLEY0KiZGOkYqRipGKyIiJSomRj5GKkYqRitGQComRjFGLEY6RiwiIikqJkYxRixGPkYsISIlKiRGOkYqRkAqJEY+RipGQCokRipGKyIiJCIiJ0YsRiosLCokJkYmNiNJImtHRidGKkYqKiQmRi9GTkYqRioqKEYqRitGMUYsRlFGLEYqRkhGLEYsRixGKg==
KigsMComJkkieEc2IjYjSSJpR0YnIiIjRiojIiIiRipGKiomJkkieUdGJ0YoRipGKkYrRioqJkYlRixJI3hpR0YnRiwhIicqJkYxRixGLkYsISIjKiRGJUYqRioqJEYuRipGKiIiJkYsRiosLCokJkYmNiNJImpHRidGKkYqKiQmRi9GO0YqRioqKEYqRitGMUYsRj5GLEYqKiRGKkYrRixGLEYsRiosLCokJkYmNiNJImtHRidGKkYqKiQmRi9GREYqRioqKEYqRitGMUYsRkdGLEYqRkBGLEYsRixGKg==
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
KigsNiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiIyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYqRidGKEYnIiIpKiZGKEYnRi9GJyEiJSokRipGJUYzKiRGL0YlRjMqJEYlRiYiIiQiIidGJ0YlLDYqKEYlRiZGKEYnJkYrNiNJImpHRilGJ0YlKihGJUYmRihGJyZGMEZBRidGMSomRkBGJUYlRiZGMyomRkRGJUYlRiZGMyomRihGJ0ZARidGNiomRihGJ0ZERidGOCokRkBGJUYzKiRGREYlRjNGO0Y8Rj1GJ0YlLCwqJCZGKzYjSSJrR0YpRiVGJSokJkYwRk5GJUYlKihGJUYmRihGJ0ZRRidGJUY7RidGJ0YnRiU=
KigsNiooIiIjIyIiIkYlSSN4aUc2IkYnJkkieEdGKTYjSSJpR0YpRidGJSooRiVGJkYoRicmSSJ5R0YpRixGJyEiIyomRipGJUYlRiYiIiUqJkYvRiVGJUYmRjMqJkYqRidGKEYnIiIpKiZGKEYnRi9GJyEiJSokRipGJUYzKiRGL0YlRjMqJEYlRiYiIiQiIidGJ0YlLCwqJCZGKzYjSSJqR0YpRiVGJSokJkYwRkFGJUYlKihGJUYmRihGJ0ZERidGJUY7RidGJ0YnRiUsLCokJkYrNiNJImtHRilGJUYlKiQmRjBGSUYlRiUqKEYlRiZGKEYnRkxGJ0YlRjtGJ0YnRidGJQ==
KigsLCokJkkieEc2IjYjSSJpR0YnIiIjRioqJCZJInlHRidGKEYqRioqKEYqIyIiIkYqSSN4aUdGJ0YwRixGMEYqKiRGKkYvRjBGMEYwRiosLCokJkYmNiNJImpHRidGKkYqKiQmRi1GNkYqRioqKEYqRi9GMUYwRjlGMEYqRjJGMEYwRjBGKiwsKiQmRiY2I0kia0dGJ0YqRioqJCZGLUY+RipGKiooRipGL0YxRjBGQUYwRipGMkYwRjBGMEYq
JSFH
# The denominators of the resulting expressions are always positive, therefore we pass on to the
# examination of the numerators.
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
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
# We do the same for R3S1
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
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOg==
L0koZGVncmVlR0c2IiIjOg==
L0koZGVncmVlSEc2IiIjOw==
L0koZGVncmVlSkc2IiIjOw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjPQ==
L0koZGVncmVlR0c2IiIjPQ==
L0koZGVncmVlSEc2IiIjPQ==
L0koZGVncmVlSkc2IiIjPQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOg==
L0koZGVncmVlR0c2IiIjOg==
L0koZGVncmVlSEc2IiIjOw==
L0koZGVncmVlSkc2IiIjOw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOg==
L0koZGVncmVlR0c2IiIjOg==
L0koZGVncmVlSEc2IiIjOw==
L0koZGVncmVlSkc2IiIjOw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOg==
L0koZGVncmVlR0c2IiIjOg==
L0koZGVncmVlSEc2IiIjOw==
L0koZGVncmVlSkc2IiIjOw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOg==
L0koZGVncmVlR0c2IiIjOg==
L0koZGVncmVlSEc2IiIjOw==
L0koZGVncmVlSkc2IiIjOw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOg==
L0koZGVncmVlR0c2IiIjOg==
L0koZGVncmVlSEc2IiIjOw==
L0koZGVncmVlSkc2IiIjOw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjOQ==
L0koZGVncmVlR0c2IiIjOQ==
L0koZGVncmVlSEc2IiIjOQ==
L0koZGVncmVlSkc2IiIjOQ==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNQ==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiKQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiJQ==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIjNg==
L0koZGVncmVlR0c2IiIjNg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIw==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
L0koZGVncmVlRkc2IiIiKg==
L0koZGVncmVlR0c2IiIiKg==
L0koZGVncmVlSEc2IiIjNw==
L0koZGVncmVlSkc2IiIjNw==
L0koZ2NkRkdISkc2IiIiIg==
UVxwLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tLS0tNiI=
JSFH
JSFH
# The conclusion from our work in this Maple sheet is that the expressions for the Orientation predicate
# can be always seen in the form
#
# 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 \003
#
# where 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 . To be able to compute exactly the sign of the resulting expressions, we need to
# get rid of the square roots, which requires to square twice. From the results above, we see that the highest
# degree for any one of the quantities F, G, H, J in any of the possible configurations is 18. This leads to the
# conclusion that the Orientation predicate can be answered by computing the sign of quantities with
# algebraic degree at most 72 in the input quantities.
JSFH
JSFH
JSFH
JSFH