For a Study of the Logistic Map We will first use the un-renormalized equation, which says that n[t+1] = r*n[t]*(1-n[t]/N) , where N is the total carrying capacity of the system. We then choose parameters as in the text. 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

IiIl

IiIj

JCImKysiISIi

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

JCIrKysrb3ohIio=

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

JCIrJj4tNGUiISIp

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

JCIrYiQ+PTYkISIp

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2Ji1GIzYjLUkjbW5HRiQ2JFEiNEYnL0YzUSdub3JtYWxGJ0Y+LyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RidGPi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGTC8lKXN0cmV0Y2h5R0ZMLyUqc3ltbWV0cmljR0ZMLyUobGFyZ2VvcEdGTC8lLm1vdmFibGVsaW1pdHNHRkwvJSdhY2NlbnRHRkwvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0Zlbi1GLDYlUSJyRidGL0YyLUZHNi1RJyZzZG90O0YnRj5GSkZNRk9GUUZTRlVGVy9GWlEmMC4wZW1GJy9GZ25GX29GKy1GNjYmLUYjNiMtRjs2JFEiM0YnRj5GPkZARkNGW28tRjY2JC1GIzYlLUY7NiRRIjFGJ0Y+LUZHNi1RKCZtaW51cztGJ0Y+RkpGTUZPRlFGU0ZVRlcvRlpRLDAuMjIyMjIyMmVtRicvRmduRmNwLUkmbWZyYWNHRiQ2KC1GIzYkRitGYW8tRiM2Iy1GLDYlUSJORidGL0YyLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZkcS8lKWJldmVsbGVkR0ZMRj4tRkc2LVEiO0YnRj5GSi9GTkYxRk9GUUZTRlVGV0Zeb0Zmbg==

JCIrOy4oKkhnISIp

At this point we get tired, and do a lot of them at once. 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

JCIrKysrb3ohIio=

JCIrJj4tNGUiISIp

JCIrYiQ+PTYkISIp

JCIrOy4oKkhnISIp

JCIrekhGTDYhIig=

JCIrSFdvND8hIig=

JCIrZERnNkshIig=

JCIrPHBLZ1YhIig=

JCIrcE87PVwhIig=

JCIrajBtKSpcISIo

JCIrVCcqKioqKlwhIig=

JCIrKysrK10hIig=

JCIrKysrK10hIig=

JCIrKysrK10hIig=

JCIrKysrK10hIig=

Then we should plot the results, but it's not very complicated, so we don't bother for now. Below is the value that it would have had if we simply use the exponential map: 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

IiUjPik=

Now let's try a much larger value of r LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEkMy4zRidGOS1GNjYtUSI7RidGOUY7L0Y/RjFGQEZCRkRGRkZIL0ZLUSYwLjBlbUYnRk0=

JCIjTCEiIg==

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

IyIiIiIiJQ==

Having seen how it works, now let's introduce x = n/N, which then can only vary from 0 to 1: the equation is x[t+1] = r*x[t]*(1-x[t]). 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

JCIrKytdKD0nISM1

JCIrUSVbWXkoISM1

JCIrOz40InAmISM1

JCIrWiQqUSM0KSEjNQ==

JCIrJEdfVTQmISM1

JCIrWCVvcUMpISM1

JCIrXS5tcVohIzU=

JCIrK0prSyMpISM1

JCIrTWhdLFshIzU=

JCIrZyEpKnBCKSEjNQ==

JCIrdiQzQXolISM1

JCIrdDl2TiMpISM1

JCIrJDRyW3olISM1

JCIrMFY2TyMpISM1

JCIrKT0nNCV6JSEjNQ==

JCIrJT40Z0IpISM1

JCIrJW8/VnolISM1

JCIrKW9SZ0IpISM1

JCIrYmJEJXolISM1

JCIrVjMuTyMpISM1

JCIrWVdGJXolISM1

JCIrM00uTyMpISM1

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRJnBsb3RzRidGL0YyL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIjtGJ0Y9LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYn

N1pJKGFuaW1hdGVHNiJJKmFuaW1hdGUzZEdGJEktYW5pbWF0ZWN1cnZlR0YkSSZhcnJvd0dGJEktY2hhbmdlY29vcmRzR0YkSSxjb21wbGV4cGxvdEdGJEkuY29tcGxleHBsb3QzZEdGJEkqY29uZm9ybWFsR0YkSSxjb25mb3JtYWwzZEdGJEksY29udG91cnBsb3RHRiRJLmNvbnRvdXJwbG90M2RHRiRJKmNvb3JkcGxvdEdGJEksY29vcmRwbG90M2RHRiRJLGRlbnNpdHlwbG90R0YkSShkaXNwbGF5R0YkSSpmaWVsZHBsb3RHRiRJLGZpZWxkcGxvdDNkR0YkSSlncmFkcGxvdEdGJEkrZ3JhZHBsb3QzZEdGJEksZ3JhcGhwbG90M2RHRiRJLWltcGxpY2l0cGxvdEdGJEkvaW1wbGljaXRwbG90M2RHRiRJKGluZXF1YWxHRiRJLGludGVyYWN0aXZlR0YkSTJpbnRlcmFjdGl2ZXBhcmFtc0dGJEkuaW50ZXJzZWN0cGxvdEdGJEktbGlzdGNvbnRwbG90R0YkSS9saXN0Y29udHBsb3QzZEdGJEkwbGlzdGRlbnNpdHlwbG90R0YkSSlsaXN0cGxvdEdGJEkrbGlzdHBsb3QzZEdGJEkrbG9nbG9ncGxvdEdGJEkobG9ncGxvdEdGJEkrbWF0cml4cGxvdEdGJEkpbXVsdGlwbGVHRiRJKG9kZXBsb3RHRiRJJ3BhcmV0b0dGJEkscGxvdGNvbXBhcmVHRiRJKnBvaW50cGxvdEdGJEkscG9pbnRwbG90M2RHRiRJKnBvbGFycGxvdEdGJEkscG9seWdvbnBsb3RHRiRJLnBvbHlnb25wbG90M2RHRiRJNHBvbHloZWRyYV9zdXBwb3J0ZWRHRiRJLnBvbHloZWRyYXBsb3RHRiRJKnJvb3Rsb2N1c0dGJEksc2VtaWxvZ3Bsb3RHRiRJKnNldGNvbG9yc0dGJEkrc2V0b3B0aW9uc0dGJEktc2V0b3B0aW9uczNkR0YkSStzcGFjZWN1cnZlR0YkSTFzcGFyc2VtYXRyaXhwbG90R0YkSSlzdXJmZGF0YUdGJEkpdGV4dHBsb3RHRiRJK3RleHRwbG90M2RHRiRJKXR1YmVwbG90R0Yk

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

LSUlUExPVEc2Iy1JJ1BPSU5UU0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYyNyQkIiIiIiIhJCIrKytdKD0nISM1NyQkIiIjRi8kIitRJVtZeShGMjckJCIiJEYvJCIrOz40InAmRjI3JCQiIiVGLyQiK1okKlEjNClGMjckJCIiJkYvJCIrJEdfVTQmRjI3JCQiIidGLyQiK1glb3FDKUYyNyQkIiIoRi8kIitdLm1xWkYyNyQkIiIpRi8kIisrSmtLIylGMjckJCIiKkYvJCIrTWhdLFtGMjckJCIjNUYvJCIrZyEpKnBCKUYyNyQkIiM2Ri8kIit2JDNBeiVGMjckJCIjN0YvJCIrdDl2TiMpRjI3JCQiIzhGLyQiKyQ0clt6JUYyNyQkIiM5Ri8kIiswVjZPIylGMjckJCIjOkYvJCIrKT0nNCV6JUYyNyQkIiM7Ri8kIislPjRnQilGMg==

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

NictJSdQT0lOVFNHNjI3JCQiIzUhIiIkIiZ2PSchIiY3JCQiIz8hIiIkIitRJVtZeSghIzU3JCQiI0khIiIkIis7PjQicCYhIzU3JCQiI1MhIiIkIitaJCpRIzQpISM1NyQkIiNdISIiJCIrJEdfVTQmISM1NyQkIiNnISIiJCIrWCVvcUMpISM1NyQkIiNxISIiJCIqTmcxeCUhIio3JCQiIyEpISIiJCIpSmtLIykhIik3JCQiIyEqISIiJCIrTWhdLFshIzU3JCQiJCsiISIiJCIqMSkqcEIpISIqNyQkIiQ1IiEiIiQiK3YkM0F6JSEjNTckJCIkPyIhIiIkIit0OXZOIykhIzU3JCQiJEkiISIiJCIrJDRyW3olISM1NyQkIiRTIiEiIiQiKzBWNk8jKSEjNTckJCIkXSIhIiIkIispPSc0JXolISM1NyQkIiRnIiEiIiQiKyU+NGdCKSEjNS0lJVZJRVdHNiQ7JCIiISEiIiQiJCE9ISIiOyQiIiEhIiIkIiM1ISIiLSUqQVhFU1NUWUxFRzYjJSdOT1JNQUxHLSUoU0NBTElOR0c2IyUuVU5DT05TVFJBSU5FREctJSVST09URzYnLSUpQk9VTkRTX1hHNiMkIiQrJCEiIi0lKUJPVU5EU19ZRzYjJCIkPyIhIiItJS1CT1VORFNfV0lEVEhHNiMkIiUhZiQhIiItJS5CT1VORFNfSEVJR0hURzYjJCIlIWYkISIiLSUpQ0hJTERSRU5HNiI=

We see that this is indeed a period-two situation, as one thought as well from the numbers. Let's make r back to its arbitrary value, and look at our underlying functions for a moment. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEiO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4yNzc3Nzc4ZW1GJw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUY2Ni1RIidGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMTExMTExMWVtRicvRk5RJjAuMGVtRidGK0ZPLUY2Ni1RIjtGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktGVUZN

SSJyRzYi

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

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKihJInJHRiUiIiJGJEYrLCZGK0YrRiQhIiJGK0YlRiVGJQ==

To find the fixed points we look for the intersections of x and f(x): 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

NyQ3Iy9JInhHNiIiIiE3Iy9GJSomLCYiIiIhIiJJInJHRiZGLEYsRi5GLQ==

To determine their stability we evaluate the derivative of f(x) at those points: 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

NyRJInJHNiIsJiIiIyIiIkYjISIi

As the derivative must have absolute value less than or equal to 1, for stability, we see that the first fixed point is stable up to r=1, when the second one then takes over, and remains stable until r=3. 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

Now, let's think about double period situations, such as the one with r=3.3 above. We begin by looking at the first iterate---often called second iterate---of our map LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRInhGJ0YvRjItRjY2LVEoJnNyYXJyO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTkZWLUYsNiVRImZGJ0YvRjItSShtZmVuY2VkR0YkNiQtRiM2JEZYLUZmbjYkLUYjNiNGT0Y5RjktRjY2LVEiO0YnRjlGOy9GP0YxRkBGQkZERkZGSEZVRk0=

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkiZkdGJTYjLUYqRiNGJUYlRiU=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiO0YnRj0vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGRS8lKnN5bW1ldHJpY0dGRS8lKGxhcmdlb3BHRkUvJS5tb3ZhYmxlbGltaXRzR0ZFLyUnYWNjZW50R0ZFLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMjc3Nzc3OGVtRic=

KiopSSJyRzYiIiIjIiIiSSJ4R0YlRicsJkYnRidGKCEiIkYnLCZGJ0YnKihGJEYnRihGJ0YpRidGKkYn

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnZmFjdG9yRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiQtRiw2JVEiZ0YnRi9GMi1GNjYkLUYjNiMtRiw2JVEieEYnRi9GMi9GM1Enbm9ybWFsRidGRC1JI21vR0YkNi1RIjtGJ0ZELyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkwvJSpzeW1tZXRyaWNHRkwvJShsYXJnZW9wR0ZMLyUubW92YWJsZWxpbWl0c0dGTC8lJ2FjY2VudEdGTC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYn

LCQqKilJInJHNiIiIiMiIiJJInhHRiZGKCwmRighIiJGKUYoRigsKEYoRigqJkYlRihGKUYoRisqJkYlRigpRilGJ0YoRihGKEYr

We will ask when it intersects x 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

NyY3Iy9JInhHNiIiIiE3Iy9GJSomLCYiIiIhIiJJInJHRiZGLEYsRi5GLTcjL0YlLCQqKCNGLCIiI0YsLChGLkYsRixGLCokKSomLCZGLkYsRixGLEYsLCZGLkYsIiIkRi1GLEYzRixGLEYsRi5GLUYsNyMvRiUsJCooRjNGLCwoRi5GLEYsRixGNkYtRixGLkYtRiw=

As should have been expected, the fixed points are of course also fixed points for the iterate; However, there are also two new ones, but only when r is greater than or equal to 3. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEmc3RhYjJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSRtYXBGJ0YvRjItSShtZmVuY2VkR0YkNiQtRiM2Ji1GLDYlUSdmYWN0b3JGJ0YvRjItRjY2LVEiLEYnRjlGOy9GP0YxRkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTlEsMC4zMzMzMzMzZW1GJy1GLDYlUSlzaW1wbGlmeUYnRi9GMi1GUzYkLUYjNiMtRlM2Ji1GIzYkLUYsNiVRJHNlcUYnRi9GMi1GUzYkLUYjNiotRiw2JVElc3Vic0YnRi9GMi1GUzYkLUYjNictRiw2JVEkZnAyRidGL0YyLUZTNiYtRiM2Iy1GLDYlUSJuRidGL0YyRjkvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGWi1GLDYlUSVkaWZmRidGL0YyLUZTNiQtRiM2Ji1GLDYlUSJnRidGL0YyLUZTNiQtRiM2Iy1GLDYlUSJ4RidGL0YyRjlGWkZjckY5RjlGWkZccS1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS1JI21uR0YkNiRRIjFGJ0Y5LUY2Ni1RIy4uRidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORmluLUZqcjYkUSI0RidGOUY5RjlGX3FGYnFGOUY5LUY2Ni1RIjtGJ0Y5RjtGZ25GQEZCRkRGRkZIRmhuRk0=

NyYqJClJInJHNiIiIiMiIiIqJCksJkYnISIiRiVGKEYnRigsKComRidGKEYlRihGKEYjRiwiIiVGKEYt

It is the last two that are of interest---noting that both of them give the same value to the derivative, and remembering that we only care when r is in [3,4] 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

NiQ3JDcjL0kickc2IiEiIjcjL0YmIiIkNyQ3Iy9GJiwmIiIiRjAqJCkiIicjRjAiIiNGMEYoNyMvRiYsJkYwRjBGMUYw

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

JCIrVigqW1xNISIq

Of course only r=3 and r=1+sqrt(6) are relevant. These tell us that these two double points are stable fixed points, for g, when r is between 3 and 1+\134sqrt{6) = 3.4495 The plot just below is for exactly 3, where all these points are the same, while the one below that isfor r=3.4, with the two double points 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

6*-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2mmmmT:(z@!#=7$$"2NLLe9ui2%!#=$"2NLLe9ui2%!#=7$$"1nmm"z_"4i!#<$"1nmm"z_"4i!#<7$$"1mmmT&phN)!#<$"1mmmT&phN)!#<7$$"2KL$e*=)H\5!#<$"2KL$e*=)H\5!#<7$$"2mm;z/3uC"!#<$"2mm;z/3uC"!#<7$$"2)***\7LRDX"!#<$"2)***\7LRDX"!#<7$$"2lm;zR'ok;!#<$"2lm;zR'ok;!#<7$$"2)***\i5`h(=!#<$"2)***\i5`h(=!#<7$$"2NLL$3En$4#!#<$"2NLL$3En$4#!#<7$$"2nmmT!RE&G#!#<$"2nmmT!RE&G#!#<7$$"+D.&4]#!#5$"+D.&4]#!#57$$"+vB_<F!#5$"+vB_<F!#57$$"+v'Hi#H!#5$"+v'Hi#H!#57$$"2mm;z*ev:J!#<$"2mm;z*ev:J!#<7$$"1LLL347TL!#;$"1LLL347TL!#;7$$"1LLLLY.KN!#;$"1LLLLY.KN!#;7$$"-D"o7Tv$!#7$"-D"o7Tv$!#77$$"1LLL$Q*o]R!#;$"1LLL$Q*o]R!#;7$$"-D"=lj;%!#7$"-D"=lj;%!#77$$"-vV&R<P%!#7$"-vV&R<P%!#77$$"2NLLe9Ege%!#<$"2NLLe9Ege%!#<7$$"2LL$eR"3Gy%!#<$"2LL$eR"3Gy%!#<7$$"2mmmT5k]*\!#<$"2mmmT5k]*\!#<7$$"1mm"zRQb@&!#;$"1mm"zRQb@&!#;7$$"-v=>Y2a!#7$"-v=>Y2a!#77$$"1mm;zXu9c!#;$"1mm;zXu9c!#;7$$"*&y))Ge!"*$"*&y))Ge!"*7$$"1****\i_QQg!#;$"1****\i_QQg!#;7$$"1***\7y%3Ti!#;$"1***\7y%3Ti!#;7$$"1****\P![hY'!#;$"1****\P![hY'!#;7$$"1LLL$Qx$om!#;$"1LLL$Qx$om!#;7$$"+v.I%)o!#5$"+v.I%)o!#57$$"1mm"zpe*zq!#;$"1mm"zpe*zq!#;7$$"+D\'QH(!#5$"+D\'QH(!#57$$"1KLe9S8&\(!#;$"1KLe9S8&\(!#;7$$"1***\i?=bq(!#;$"1***\i?=bq(!#;7$$"1LLL3s?6z!#;$"1LLL3s?6z!#;7$$"-DJXaE")!#7$"-DJXaE")!#77$$"1nmmm*RRL)!#;$"1nmmm*RRL)!#;7$$"1mm;a<.Y&)!#;$"1mm;a<.Y&)!#;7$$"1LLe9tOc()!#;$"1LLe9tOc()!#;7$$"*&Qk\*)!"*$"*&Qk\*)!"*7$$"1LL$3dg6<*!#;$"1LL$3dg6<*!#;7$$"1mmmmxGp$*!#;$"1mmmmxGp$*!#;7$$"-D"oK0e*!#7$"-D"oK0e*!#77$$"-v=5s#y*!#7$"-v=5s#y*!#77$$"#5!""$"#5!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"0Pq5Z6mR'!#;7$$"2NLLe9ui2%!#=$"2@.95@MI<"!#<7$$"1nmm"z_"4i!#<$"19#HB5&3Z<!#;7$$"1mmmT&phN)!#<$"1nFFaTP(H#!#;7$$"2KL$e*=)H\5!#<$"299^:c'e<G!#<7$$"2mm;z/3uC"!#<$"2(=yM#4;aF$!#<7$$"2)***\7LRDX"!#<$"0a,6%olCP!#:7$$"2lm;zR'ok;!#<$"2'pts_\qiT!#<7$$"2)***\i5`h(=!#<$"1UDKvTZsX!#;7$$"2NLL$3En$4#!#<$"14WtF$yf'\!#;7$$"2nmmT!RE&G#!#<$"1xQ**yB1*G&!#;7$$"+D.&4]#!#5$"1=Zc;_UEc!#;7$$"+vB_<F!#5$"14BTn()3Pf!#;7$$"+v'Hi#H!#5$"1<[u"*H%)4i!#;7$$"2mm;z*ev:J!#<$"1_#H"\s)[V'!#;7$$"1LLL347TL!#;$"1`$px/OWn'!#;7$$"1LLLLY.KN!#;$"1f,o/L_`o!#;7$$"-D"o7Tv$!#7$"1"Q$pO%HV.(!#;7$$"1LLL$Q*o]R!#;$"1(=D*oTopr!#;7$$"-D"=lj;%!#7$"1'H!p'*e^"H(!#;7$$"-vV&R<P%!#7$"1jPtRme"Q(!#;7$$"2NLLe9Ege%!#<$"1>*>Wp(e[u!#;7$$"2LL$eR"3Gy%!#<$"1D1t3$[e[(!#;7$$"2mmmT5k]*\!#<$"1(pz5p#***\(!#;7$$"1mm"zRQb@&!#;$"1bqqfH1'[(!#;7$$"-v=>Y2a!#7$"1s0VNC>]u!#;7$$"1mm;zXu9c!#;$"0c:2tEmQ(!#:7$$"*&y))Ge!"*$"19njzM)QH(!#;7$$"1****\i_QQg!#;$"1Uo)R"o_wr!#;7$$"1***\7y%3Ti!#;$"1$*[spD"z.(!#;7$$"1****\P![hY'!#;$"1r/kzH7bo!#;7$$"1LLL$Qx$om!#;$"1YX.s]&\m'!#;7$$"+v.I%)o!#5$"1eC.HO#[V'!#;7$$"1mm"zpe*zq!#;$"1U#)[W:8-i!#;7$$"+D\'QH(!#5$"1Ckv6^X@f!#;7$$"1KLe9S8&\(!#;$"1z2yu=HKc!#;7$$"1***\i?=bq(!#;$"1N\pq80/`!#;7$$"1LLL3s?6z!#;$"18W/x<Yd\!#;7$$"-DJXaE")!#7$"2c@L#)y:uc%!#<7$$"1nmmm*RRL)!#;$"1*z)f*G`a;%!#;7$$"1mm;a<.Y&)!#;$"2B]K&RwpFP!#<7$$"1LLe9tOc()!#;$"2%***y$z8"pE$!#<7$$"*&Qk\*)!"*$"1arWPS4?G!#;7$$"1LL$3dg6<*!#;$"2Dg(pZeU!G#!#<7$$"1mmmmxGp$*!#;$"2Y5<OK(zs<!#<7$$"-D"oK0e*!#7$"2^?+o5;c?"!#<7$$"-v=5s#y*!#7$"1")3Uq*QnP'!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6$7eo7$$""!!""$""!!""7$$"1mmmT&)G\a!#=$"2B@#yC+L)z%!#=7$$"2LLL$3x&)*3"!#=$"1$fVOOn!)Q*!#<7$$",Dc'yM;!#7$"1\\97pVx8!#;7$$"2mmmmT:(z@!#=$"2Qi&QENB'z"!#<7$$"-D"y%*z7$!#8$"2oo;**3F#zC!#<7$$"2NLLe9ui2%!#=$"2DIz\&)*H1J!#<7$$"-voMrU^!#8$"1bH@D**)yu$!#;7$$"1nmm"z_"4i!#<$"1QMb+McDV!#;7$$"1nmmm6m#G(!#<$"1r.Jb%Qg%[!#;7$$"1mmmT&phN)!#<$"1Z@ShSu3`!#;7$$"-v=ddC%*!#8$"14F<IWC:d!#;7$$"2KL$e*=)H\5!#<$"1[L5v97rg!#;7$$"2)***\(=JN[6!#<$"1TKhH/gej!#;7$$"2mm;z/3uC"!#<$"09SO5Vxg'!#:7$$"2)***\7LRDX"!#<$"0F:"[*\?,(!#:7$$"2lm;zR'ok;!#<$"1<Q9,6o*G(!#;7$$"1LL3_(>/x"!#;$"1`)o#[jG"Q(!#;7$$"2)***\i5`h(=!#<$"1d,x+l;Xu!#;7$$"2mm"HdG"\)>!#<$"1QpD?1^%[(!#;7$$"2NLL$3En$4#!#<$"1x[udFl*\(!#;7$$"-Dc#o%*=#!#7$"1w*\Fl3\\(!#;7$$"2nmmT!RE&G#!#<$"07:B)G$\Z(!#:7$$"2LL$e9r5$R#!#<$"11cvy#zhV(!#;7$$"+D.&4]#!#5$"1abTMuF#Q(!#;7$$"+vB_<F!#5$"1/pf#RflB(!#;7$$"+v'Hi#H!#5$"1'y(f!)R)31(!#;7$$"2mm;z*ev:J!#<$"1')eou&HB)o!#;7$$"1LLL347TL!#;$"1k"zl<z)em!#;7$$"1LLLLY.KN!#;$"1kAq2aLpk!#;7$$"-D"o7Tv$!#7$"1Q3!H7^%ei!#;7$$"1LLL$Q*o]R!#;$"1EY8#=Tx3'!#;7$$"-D"=lj;%!#7$"1-ZcokoCf!#;7$$"-vV&R<P%!#7$"1$\KK_8%)z&!#;7$$"2NLLe9Ege%!#<$"1.1#3\D8q&!#;7$$"2LL$eR"3Gy%!#<$"1GVzbu;Yc!#;7$$"2mmmT5k]*\!#<$"1HWOj4,Dc!#;7$$"1mm"zRQb@&!#;$"0y6")GZek&!#:7$$"-v=>Y2a!#7$"0k2)3r'*)p&!#:7$$"1mm;zXu9c!#;$"1)=qW&Q?"z&!#;7$$"*&y))Ge!"*$"1G\bu&H9#f!#;7$$"1****\i_QQg!#;$"1')))R3$>)yg!#;7$$"1***\7y%3Ti!#;$"1$=ZuqtSD'!#;7$$"1****\P![hY'!#;$"1eH7>cbnk!#;7$$"1LLL$Qx$om!#;$"1J>V#Qx$om!#;7$$"+v.I%)o!#5$"1R52YVQ#)o!#;7$$"1mm"zpe*zq!#;$"1&*Q#\#RYmq!#;7$$"+D\'QH(!#5$"1'Q0J9w_C(!#;7$$"1KLe9S8&\(!#;$"1he_&4i+Q(!#;7$$"1mmT5hK+w!#;$"1PiN/)3LV(!#;7$$"1***\i?=bq(!#;$"0c$>HeEsu!#:7$$"1m;H2FO3y!#;$"10Y%H&)=Y\(!#;7$$"1LLL3s?6z!#;$"1Mj()\rX*\(!#;7$$"1m;zpe()=!)!#;$"1oc!3[hN[(!#;7$$"-DJXaE")!#7$"1L!>*p7'QW(!#;7$$"1L$e*[ACI#)!#;$"1#)>!fj,3Q(!#;7$$"1nmmm*RRL)!#;$"1fvWO&f5H(!#;7$$"1mm;a<.Y&)!#;$"1\Y16SP9q!#;7$$"1LLe9tOc()!#;$"/A#*\6#*)f'!#97$$"1m;H#e0I&))!#;$"0%QsW?#\N'!#:7$$"*&Qk\*)!"*$"1lzK)*HSug!#;7$$"1nmT5ASg!*!#;$"1:#eyQP]q&!#;7$$"1LL$3dg6<*!#;$"13'Q!H\<"G&!#;7$$"-voTAq#*!#7$"1oQ1N"QH&[!#;7$$"1mmmmxGp$*!#;$"1BTml)[bP%!#;7$$"1L$eRA5\Z*!#;$"1*GJA"eM4Q!#;7$$"-D"oK0e*!#7$"21z28E&z!=$!#<7$$"*&oi"o*!"*$"1D&[t*eg<D!#;7$$"-v=5s#y*!#7$"16cV"HL5z"!#;7$$"/D1k2/P)*!#9$"2#Q:'oO]LP"!#<7$$".v$40O"*)*!#8$"1'4V=9\&f$*!#<7$$"/voa-oX**!#9$"/d&oP<My%!#:7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%%VIEWG6$;$""!!""$"#5!"";$""!!""$"#")!"#-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$I%!""-%)BOUNDS_YG6#$"#q!""-%-BOUNDS_WIDTHG6#$"%!\$!""-%.BOUNDS_HEIGHTG6#$"%5N!""-%)CHILDRENG6"

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

6*-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2mmmmT:(z@!#=7$$"2NLLe9ui2%!#=$"2NLLe9ui2%!#=7$$"1nmm"z_"4i!#<$"1nmm"z_"4i!#<7$$"1mmmT&phN)!#<$"1mmmT&phN)!#<7$$"2KL$e*=)H\5!#<$"2KL$e*=)H\5!#<7$$"2mm;z/3uC"!#<$"2mm;z/3uC"!#<7$$"2)***\7LRDX"!#<$"2)***\7LRDX"!#<7$$"2lm;zR'ok;!#<$"2lm;zR'ok;!#<7$$"2)***\i5`h(=!#<$"2)***\i5`h(=!#<7$$"2NLL$3En$4#!#<$"2NLL$3En$4#!#<7$$"2nmmT!RE&G#!#<$"2nmmT!RE&G#!#<7$$"+D.&4]#!#5$"+D.&4]#!#57$$"+vB_<F!#5$"+vB_<F!#57$$"+v'Hi#H!#5$"+v'Hi#H!#57$$"2mm;z*ev:J!#<$"2mm;z*ev:J!#<7$$"1LLL347TL!#;$"1LLL347TL!#;7$$"1LLLLY.KN!#;$"1LLLLY.KN!#;7$$"-D"o7Tv$!#7$"-D"o7Tv$!#77$$"1LLL$Q*o]R!#;$"1LLL$Q*o]R!#;7$$"-D"=lj;%!#7$"-D"=lj;%!#77$$"-vV&R<P%!#7$"-vV&R<P%!#77$$"2NLLe9Ege%!#<$"2NLLe9Ege%!#<7$$"2LL$eR"3Gy%!#<$"2LL$eR"3Gy%!#<7$$"2mmmT5k]*\!#<$"2mmmT5k]*\!#<7$$"1mm"zRQb@&!#;$"1mm"zRQb@&!#;7$$"-v=>Y2a!#7$"-v=>Y2a!#77$$"1mm;zXu9c!#;$"1mm;zXu9c!#;7$$"*&y))Ge!"*$"*&y))Ge!"*7$$"1****\i_QQg!#;$"1****\i_QQg!#;7$$"1***\7y%3Ti!#;$"1***\7y%3Ti!#;7$$"1****\P![hY'!#;$"1****\P![hY'!#;7$$"1LLL$Qx$om!#;$"1LLL$Qx$om!#;7$$"+v.I%)o!#5$"+v.I%)o!#57$$"1mm"zpe*zq!#;$"1mm"zpe*zq!#;7$$"+D\'QH(!#5$"+D\'QH(!#57$$"1KLe9S8&\(!#;$"1KLe9S8&\(!#;7$$"1***\i?=bq(!#;$"1***\i?=bq(!#;7$$"1LLL3s?6z!#;$"1LLL3s?6z!#;7$$"-DJXaE")!#7$"-DJXaE")!#77$$"1nmmm*RRL)!#;$"1nmmm*RRL)!#;7$$"1mm;a<.Y&)!#;$"1mm;a<.Y&)!#;7$$"1LLe9tOc()!#;$"1LLe9tOc()!#;7$$"*&Qk\*)!"*$"*&Qk\*)!"*7$$"1LL$3dg6<*!#;$"1LL$3dg6<*!#;7$$"1mmmmxGp$*!#;$"1mmmmxGp$*!#;7$$"-D"oK0e*!#7$"-D"oK0e*!#77$$"-v=5s#y*!#7$"-v=5s#y*!#77$$"#5!""$"#5!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1=ka+I\\s!#<7$$"2NLLe9ui2%!#=$"0d#[s(Q%H8!#:7$$"1nmm"z_"4i!#<$"2fxREyH+)>!#<7$$"1mmmT&phN)!#<$"2E!e<32p.E!#<7$$"2KL$e*=)H\5!#<$"0'zvpZE$>$!#:7$$"2mm;z/3uC"!#<$"1&>%*zBQ@r$!#;7$$"2)***\7LRDX"!#<$"2DT[Kvx7A%!#<7$$"2lm;zR'ok;!#<$"1'od(zAt<Z!#;7$$"2)***\i5`h(=!#<$"1")))p)RP@=&!#;7$$"2NLL$3En$4#!#<$"0LK9x3"Gc!#:7$$"2nmmT!RE&G#!#<$"01$>'pqU*f!#:7$$"+D.&4]#!#5$"19+WX_hwj!#;7$$"+vB_<F!#5$"1#GnIg+(Gn!#;7$$"+v'Hi#H!#5$"1$z5t0Ay.(!#;7$$"2mm;z*ev:J!#<$"1>)zc@sGH(!#;7$$"1LLL347TL!#;$"/'QT&3Okv!#97$$"1LLLLY.KN!#;$"1Z3(>TEtw(!#;7$$"-D"o7Tv$!#7$"1*\_#G+Csz!#;7$$"1LLL$Q*o]R!#;$"16_6e?kD")!#;7$$"-D"=lj;%!#7$"1-!\i,=PE)!#;7$$"-vV&R<P%!#7$"1l#)p">)zl$)!#;7$$"2NLLe9Ege%!#<$"1vDM?FtT%)!#;7$$"2LL$eR"3Gy%!#<$"1u8c;9'R[)!#;7$$"2mmmT5k]*\!#<$"1*)pb;<***\)!#;7$$"1mm"zRQb@&!#;$"1'*zm(o/U[)!#;7$$"-v=>Y2a!#7$"198#oU^NW)!#;7$$"1mm;zXu9c!#;$"1n4"[H5:P)!#;7$$"*&y))Ge!"*$"13;#pF,kE)!#;7$$"1****\i_QQg!#;$"1a<&e0(RL")!#;7$$"1***\7y%3Ti!#;$"1z[N74Iwz!#;7$$"1****\P![hY'!#;$"1ne#pPR"px!#;7$$"1LLL$Qx$om!#;$"0#eI[dh`v!#:7$$"+v.I%)o!#5$"1`M!H6+GH(!#;7$$"1mm"zpe*zq!#;$"1um3<C3Hq!#;7$$"+D\'QH(!#5$"181**fC)4r'!#;7$$"1KLe9S8&\(!#;$"1\:vCTE$Q'!#;7$$"1***\i?=bq(!#;$"1F47?#e7,'!#;7$$"1LLL3s?6z!#;$"1M.l!oc%=c!#;7$$"-DJXaE")!#7$"1Xw**fXSw^!#;7$$"1nmmm*RRL)!#;$"10`ahq%3s%!#;7$$"1mm;a<.Y&)!#;$"1p,Z"*RsCU!#;7$$"1LLe9tOc()!#;$"2$*>'Hj&*\-P!#<7$$"*&Qk\*)!"*$"1TMxvl5'>$!#;7$$"1LL$3dg6<*!#;$"1;1RFE[%e#!#;7$$"1mmmmxGp$*!#;$"2_Q*4+.<4?!#<7$$"-D"oK0e*!#7$"2BBS5#\Om8!#<7$$"-v=5s#y*!#7$"1kO9L3(pA(!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6$7bp7$$""!!""$""!!""7$$"1mmmT&)G\a!#=$"1O$p:t1'\h!#<7$$"2LLL$3x&)*3"!#=$"2F]#z@=Z+7!#<7$$",Dc'yM;!#7$"1&*>dnTGd<!#;7$$"2mmmmT:(z@!#=$"2&z[Q9,9'G#!#<7$$"2LLe*)4bQl#!#=$"1)fzTn@Ts#!#;7$$"-D"y%*z7$!#8$"2v49<us>9$!#<7$$"1n;ajW8-O!#<$"1_O>#)p;SN!#;7$$"2NLLe9ui2%!#=$"2/b:NHt">R!#<7$$"-voMrU^!#8$"1_2.#4=Rq%!#;7$$"1nmm"z_"4i!#<$"1iuKh^7*R&!#;7$$"1nmmm6m#G(!#<$"1pYQ>Kk8g!#;7$$"1mmmT&phN)!#<$"1%y"\/'=wa'!#;7$$"-v=ddC%*!#8$"1JyF!\mR+(!#;7$$"2KL$e*=)H\5!#<$"1kFla19!R(!#;7$$"2)***\(=JN[6!#<$"1puQw6]*o(!#;7$$"2mm;z/3uC"!#<$"1Cv'y5!3Oz!#;7$$"1LLe*ot*\8!#;$"1&QQWP$\R")!#;7$$"2)***\7LRDX"!#<$"1:3Al6#QH)!#;7$$"1LLekGhe:!#;$"1*3P=c!p0%)!#;7$$"2lm;zR'ok;!#<$"1Jrfx/"HZ)!#;7$$"2)*****\2`vr"!#<$"1^Hn=:$4\)!#;7$$"1LL3_(>/x"!#;$"1V0suAF*\)!#;7$$"2kmm"HkGB=!#<$"1Y))>ilQ)\)!#;7$$"2)***\i5`h(=!#<$"0P="H3s)[)!#:7$$"2mm"HdG"\)>!#<$"17%z1<%3V%)!#;7$$"2NLL$3En$4#!#<$"1A\A')H'eO)!#;7$$"2nmmT!RE&G#!#<$"1,_6mZ)Q;)!#;7$$"+D.&4]#!#5$"1CvWejnby!#;7$$"+vB_<F!#5$"1QY[O?%R[(!#;7$$"+v'Hi#H!#5$"1(yI$Hc2)3(!#;7$$"2mm;z*ev:J!#<$"1'fr3eIDr'!#;7$$"1LLL347TL!#;$"1G*=$f"yTE'!#;7$$"1LLLLY.KN!#;$"14p1SvC'*e!#;7$$"-D"o7Tv$!#7$"0A9HLoj\&!#:7$$"1LLL$Q*o]R!#;$"1XSM')HKy^!#;7$$"-D"=lj;%!#7$"2;(*R:?p$y[!#<7$$"-vV&R<P%!#7$"1N'Q6'oF[Y!#;7$$"2NLLe9Ege%!#<$"1@fy*z@DZ%!#;7$$"2OL3F9<Wo%!#<$"1@qlR/?:W!#;7$$"2LL$eR"3Gy%!#<$"2c'**GoV3tV!#<7$$".v=7O*))[!#8$"2%)4^8lv\M%!#<7$$"2mmmT5k]*\!#<$"1P5d9(>]L%!#;7$$"1m;/^7I0^!#;$"1x'RJ'y'RM%!#;7$$"1mm"zRQb@&!#;$"10q5;!3DP%!#;7$$"1LLLe,]6`!#;$"19h[=&[JT%!#;7$$"-v=>Y2a!#7$"2Oa%39UEoW!#<7$$"1mm;zXu9c!#;$"1[W(GB#>NY!#;7$$"*&y))Ge!"*$"1jCO<<Ts[!#;7$$"1****\i_QQg!#;$"00HFy>=;&!#:7$$"1***\7y%3Ti!#;$"1w#**)y^:)[&!#;7$$"1****\P![hY'!#;$"1LRz<[$G*e!#;7$$"1LLL$Qx$om!#;$"1L:SZe(GG'!#;7$$"+v.I%)o!#5$"1s<P)*Hk7n!#;7$$"1mm"zpe*zq!#;$"1)p(=X.;+r!#;7$$"+D\'QH(!#5$"1>bMnKm/v!#;7$$"1KLe9S8&\(!#;$"19'*zAtV\y!#;7$$"1***\i?=bq(!#;$"1p3;;8I_")!#;7$$"1m;H2FO3y!#;$"11tHWaCs#)!#;7$$"1LLL3s?6z!#;$"009O&Q&*p$)!#:7$$"1m;zpe()=!)!#;$"1\D-`hAX%)!#;7$$"-DJXaE")!#7$"1#47mo>%*[)!#;7$$"1mT5!R$Ry")!#;$"1'p*z1@b)\)!#;7$$"1L$e*[ACI#)!#;$"1F4M9eA*\)!#;7$$"1*\7y5"4#G)!#;$"0"3!)*\>5\)!#:7$$"1nmmm*RRL)!#;$"1=PcO]]t%)!#;7$$"1nmTge)*R%)!#;$"1C2cf5'oS)!#;7$$"1mm;a<.Y&)!#;$"0M.w,UcH)!#:7$$".vV`*>^')!#8$"1l\t(=^u8)!#;7$$"1LLe9tOc()!#;$"1rhp*[2w#z!#;7$$"1m;H#e0I&))!#;$"1CF$[0gdo(!#;7$$"*&Qk\*)!"*$"1T4x%HHOR(!#;7$$"1nmT5ASg!*!#;$"1*f\<N'o#*p!#;7$$"1LL$3dg6<*!#;$"1o:pzP>;l!#;7$$"-voTAq#*!#7$"1,'HyT*p@g!#;7$$"1mmmmxGp$*!#;$"1;a5?)y'ea!#;7$$"1L$eRA5\Z*!#;$"2<eWL'zVyZ!#<7$$"-D"oK0e*!#7$"1NSSym(3,%!#;7$$".Dcwz5j*!#8$"1,?Yg'*=6O!#;7$$"*&oi"o*!"*$"1*e63E#z*=$!#;7$$".vV$R<K(*!#8$"2WDQ$>s6YF!#<7$$"-v=5s#y*!#7$"2ZFI!=6fzA!#<7$$"/D1k2/P)*!#9$"2$onpL)4@v"!#<7$$".v$40O"*)*!#8$"2M:F:`Uo>"!#<7$$"/voa-oX**!#9$"1j7Viz`Ih!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%%VIEWG6$;$""!!""$"#5!"";$""!!""$"#"*!"#-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$I%!""-%)BOUNDS_YG6#$"#!)!""-%-BOUNDS_WIDTHG6#$"%!\$!""-%.BOUNDS_HEIGHTG6#$"%+N!""-%)CHILDRENG6"

A different approach is to plot the actual map: 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

JCIjTSEiIg==

JCIiIiEiIg==

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

NiYtJSdQT0lOVFNHNmFxNyQkIiIhISIiJCIiIiEiIjckJCIjNSEiIiQiJDEkISIkNyQkIiM/ISIiJCIody5BKCEiKDckJCIjSSEiIiQiK1VqeEJvISM1NyQkIiNTISIiJCIqYjAicHQhIio3JCQiI10hIiIkIitDX3AiZichIzU3JCQiI2chIiIkIitZQGhRdyEjNTckJCIjcSEiIiQiK0BvI0c4JyEjNTckJCIjISkhIiIkIitgInpPMSkhIzU3JCQiIyEqISIiJCIrO2VyM2AhIzU3JCQiJCsiISIiJCIrVmhmbiUpISM1NyQkIiQ1IiEiIiQiK3hUdzZXISM1NyQkIiQ/IiEiIiQiK0hGTiNRKSEjNTckJCIkSSIhIiIkIisxWUg1WSEjNTckJCIkUyIhIiIkIilUT1slKSEiKTckJCIkXSIhIiIkIis3cClwWCUhIzU3JCQiJGciISIiJCIrMmx1KlIpISM1NyQkIiRxIiEiIiQiK2BnPXFYISM1NyQkIiQhPSEiIiQiKlIpPVAlKSEiKjckJCIkIT4hIiIkIitKLTokWyUhIzU3JCQiJCsjISIiJCIqYnUiNCUpISIqNyQkIiQ1IyEiIiQiK0EpZiRbWCEjNTckJCIkPyMhIiIkIispPVoxVikhIzU3JCQiJEkjISIiJCIrY1ZVKVwlISM1NyQkIiRTIyEiIiQiK1BNWTklKSEjNTckJCIkXSMhIiIkIis0JSozT1ghIzU3JCQiJGcjISIiJCIrbnYjb1UpISM1NyQkIiRxIyEiIiQiK2gqSHRdJSEjNTckJCIkIUchIiIkIitAUlo8JSkhIzU3JCQiJCFIISIiJCIqWyc0SFghIio3JCQiJCskISIiJCIrY1xnQyUpISM1NyQkIiQ1JCEiIiQiKy92XTdYISM1NyQkIiQ/JCEiIiQiK2gkKj4+JSkhIzU3JCQiJEkkISIiJCIrXGQzRFghIzU3JCQiJFMkISIiJCIrJz46TFUpISM1NyQkIiRdJCEiIiQiK1cvXjpYISM1NyQkIiRnJCEiIiQiK2M8Pj8lKSEjNTckJCIkcSQhIiIkIioveUZfJSEiKjckJCIkIVEhIiIkIio4b0RVKSEiKjckJCIkIVIhIiIkIis5JFxzXiUhIzU3JCQiJCslISIiJCIrME93PyUpISM1NyQkIiQ1JSEiIiQiK2l6V0BYISM1NyQkIiQ/JSEiIiQiKy1mOEElKSEjNTckJCIkSSUhIiIkIisnPmIjPVghIzU3JCQiJFMlISIiJCIrak00QCUpISM1NyQkIiRdJSEiIiQiK04xbz9YISM1NyQkIiRnJSEiIiQiKy1nKT1VKSEjNTckJCIkcSUhIiIkIiswbiQpPVghIzU3JCQiJCFbISIiJCIrVVFHQCUpISM1NyQkIiQhXCEiIiQiK094Qj9YISM1NyQkIiQrJiEiIiQiK3c6dUAlKSEjNTckJCIkNSYhIiIkIip3cyI+WCEiKjckJCIkPyYhIiIkIithUFJAJSkhIzU3JCQiJEkmISIiJCIrRD8pKj5YISM1NyQkIiRTJiEiIiQiKjhlO1UpISIqNyQkIiRdJiEiIiQiKz1wTz5YISM1NyQkIiRnJiEiIiQiK0RzWEAlKSEjNTckJCIkcSYhIiIkIitiViQpPlghIzU3JCQiJCFlISIiJCIrRSo0O1UpISM1NyQkIiQhZiEiIiQiK3YheiU+WCEjNTckJCIkKychIiIkIisiKVFcQCUpISM1NyQkIiQ1JyEiIiQiK3MhXCg+WCEjNTckJCIkPychIiIkIit0P2VAJSkhIzU3JCQiJEknISIiJCIqKVFhPlghIio3JCQiJFMnISIiJCIrXl1eQCUpISM1NyQkIiRdJyEiIiQiKzspKnA+WCEjNTckJCIkZychIiIkIisoKWZjQCUpISM1NyQkIiRxJyEiIiQiKzM4ZT5YISM1NyQkIiQhbyEiIiQiKyJHRjpVKSEjNTckJCIkIXAhIiIkIitqOG4+WCEjNTckJCIkKyghIiIkIislcGM6VSkhIzU3JCQiJDUoISIiJCIrSEhnPlghIzU3JCQiJD8oISIiJCIrVlZgQCUpISM1NyQkIiRJKCEiIiQiK0tcbD5YISM1NyQkIiRTKCEiIiQiKkxeOlUpISIqNyQkIiRdKCEiIiQiKzNhaD5YISM1NyQkIiRnKCEiIiQiKlVROlUpISIqNyQkIiRxKCEiIiQiK1lhaz5YISM1NyQkIiQheSEiIiQiK0wjWzpVKSEjNTckJCIkIXohIiIkIis5RWk+WCEjNTckJCIkKykhIiIkIit1MmFAJSkhIzU3JCQiJDUpISIiJCIrcCpSJz5YISM1NyQkIiQ/KSEiIiQiK1JrYUAlKSEjNTckJCIkSSkhIiIkIispeUUnPlghIzU3JCQiJFMpISIiJCIrUEBhQCUpISM1NyQkIiRdKSEiIiQiKyl6Tyc+WCEjNTckJCIkZykhIiIkIisvYWFAJSkhIzU3JCQiJHEpISIiJCIrJz5IJz5YISM1NyQkIiQhKSkhIiIkIitESGFAJSkhIzU3JCQiJCEqKSEiIiQiK2pcaj5YISM1NyQkIiQrKiEiIiQiKy9bYUAlKSEjNTckJCIkNSohIiIkIisjZkknPlghIzU3JCQiJD8qISIiJCIreExhQCUpISM1NyQkIiRJKiEiIiQiKzdSaj5YISM1NyQkIiRTKiEiIiQiK2pXYUAlKSEjNTckJCIkXSohIiIkIismUUonPlghIzU3JCQiJGcqISIiJCIrUU9hQCUpISM1NyQkIiRxKiEiIiQiKzBMaj5YISM1NyQkIiQhKSohIiIkIituVWFAJSkhIzU3JCQiJCEqKiEiIiQiK1U9aj5YISM1NyQkIiUrNSEiIiQiKyd5VjpVKSEjNS0lKkFYRVNTVFlMRUc2IyUnTk9STUFMRy0lKFNDQUxJTkdHNiMlLlVOQ09OU1RSQUlORURHLSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIkKyQhIiItJSlCT1VORFNfWUc2IyQiIyEpISIiLSUtQk9VTkRTX1dJRFRIRzYjJCIlZ04hIiItJS5CT1VORFNfSEVJR0hURzYjJCIlNU8hIiItJSlDSElMRFJFTkc2Ig==

As to what happens beyond that, let's see. We begin by looking at the third iterate. But we also have to put r back to its arbitrary value. 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

SSJyRzYi

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

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkiZkdGJTYjLUkiZ0dGJUYjRiVGJUYl

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnZmFjdG9yRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiQtRiw2JVEkcHQzRidGL0YyLUY2NiQtRiM2Iy1GLDYlUSJ4RidGL0YyL0YzUSdub3JtYWxGJ0ZELUkjbW9HRiQ2LVEiO0YnRkQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGTC8lKnN5bW1ldHJpY0dGTC8lKGxhcmdlb3BHRkwvJS5tb3ZhYmxlbGltaXRzR0ZMLyUnYWNjZW50R0ZMLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMjc3Nzc3OGVtRic=

LCQqLClJInJHNiIiIiQiIiJJInhHRiZGKCwmRilGKEYoISIiRigsKEYoRigqJkYlRihGKUYoRisqJkYlRigpRikiIiNGKEYoRigsLkYoRigqJilGJUYwRihGKUYoRisqJkYkRihGL0YoRigqKEYwRihGJEYoKUYpRidGKEYrKiZGM0YoRi9GKEYoKiZGJEYoKUYpIiIlRihGKEYoRis=

For intersections, we ask the same question as earlier: 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

NyU3Iy9JInhHNiIiIiE3Iy9GJSomLCYiIiIhIiJJInJHRiZGLEYsRi5GLTcjL0YlKiYtSSdSb290T2ZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2JCw0KiQpRi4iIiNGLEYsRi5GLEYsRiwqJiwqKiZGO0YsRi5GLEYtKiZGO0YsRjpGLEYtRixGLSokKUYuIiIkRixGLUYsSSNfWkdGNEYsRiwqJiwqKiZGQkYsRi5GLEYsRixGLComRjtGLEZBRixGLComRkJGLEY6RixGLEYsKUZDRjtGLEYsKiYsKkZGRi1GLEYtKiYiIiZGLEY6RixGLUZARi1GLClGQ0ZCRixGLComLChGSEYsKiYiIiVGLEYuRixGLEYsRixGLClGQ0ZSRixGLComLCZGRkYtRixGLUYsKUZDRk1GLEYsKiQpRkMiIidGLEYsL0kmbGFiZWxHRjRJJF9MM0dGJkYsRi5GLQ==

This says we need the solution of a sextic polynomial. Let's PUNT, instead. 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

6+-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2mmmmT:(z@!#=7$$"2NLLe9ui2%!#=$"2NLLe9ui2%!#=7$$"1nmm"z_"4i!#<$"1nmm"z_"4i!#<7$$"1mmmT&phN)!#<$"1mmmT&phN)!#<7$$"2KL$e*=)H\5!#<$"2KL$e*=)H\5!#<7$$"2mm;z/3uC"!#<$"2mm;z/3uC"!#<7$$"2)***\7LRDX"!#<$"2)***\7LRDX"!#<7$$"2lm;zR'ok;!#<$"2lm;zR'ok;!#<7$$"2)***\i5`h(=!#<$"2)***\i5`h(=!#<7$$"2NLL$3En$4#!#<$"2NLL$3En$4#!#<7$$"2nmmT!RE&G#!#<$"2nmmT!RE&G#!#<7$$"+D.&4]#!#5$"+D.&4]#!#57$$"+vB_<F!#5$"+vB_<F!#57$$"+v'Hi#H!#5$"+v'Hi#H!#57$$"2mm;z*ev:J!#<$"2mm;z*ev:J!#<7$$"1LLL347TL!#;$"1LLL347TL!#;7$$"1LLLLY.KN!#;$"1LLLLY.KN!#;7$$"-D"o7Tv$!#7$"-D"o7Tv$!#77$$"1LLL$Q*o]R!#;$"1LLL$Q*o]R!#;7$$"-D"=lj;%!#7$"-D"=lj;%!#77$$"-vV&R<P%!#7$"-vV&R<P%!#77$$"2NLLe9Ege%!#<$"2NLLe9Ege%!#<7$$"2LL$eR"3Gy%!#<$"2LL$eR"3Gy%!#<7$$"2mmmT5k]*\!#<$"2mmmT5k]*\!#<7$$"1mm"zRQb@&!#;$"1mm"zRQb@&!#;7$$"-v=>Y2a!#7$"-v=>Y2a!#77$$"1mm;zXu9c!#;$"1mm;zXu9c!#;7$$"*&y))Ge!"*$"*&y))Ge!"*7$$"1****\i_QQg!#;$"1****\i_QQg!#;7$$"1***\7y%3Ti!#;$"1***\7y%3Ti!#;7$$"1****\P![hY'!#;$"1****\P![hY'!#;7$$"1LLL$Qx$om!#;$"1LLL$Qx$om!#;7$$"+v.I%)o!#5$"+v.I%)o!#57$$"1mm"zpe*zq!#;$"1mm"zpe*zq!#;7$$"+D\'QH(!#5$"+D\'QH(!#57$$"1KLe9S8&\(!#;$"1KLe9S8&\(!#;7$$"1***\i?=bq(!#;$"1***\i?=bq(!#;7$$"1LLL3s?6z!#;$"1LLL3s?6z!#;7$$"-DJXaE")!#7$"-DJXaE")!#77$$"1nmmm*RRL)!#;$"1nmmm*RRL)!#;7$$"1mm;a<.Y&)!#;$"1mm;a<.Y&)!#;7$$"1LLe9tOc()!#;$"1LLe9tOc()!#;7$$"*&Qk\*)!"*$"*&Qk\*)!"*7$$"1LL$3dg6<*!#;$"1LL$3dg6<*!#;7$$"1mmmmxGp$*!#;$"1mmmmxGp$*!#;7$$"-D"oK0e*!#7$"-D"oK0e*!#77$$"-v=5s#y*!#7$"-v=5s#y*!#77$$"#5!""$"#5!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1Ja"HQ8FY(!#<7$$"2NLLe9ui2%!#=$"2Uq\G"*R&o8!#<7$$"1nmm"z_"4i!#<$"2jT<F&fEQ?!#<7$$"1mmmT&phN)!#<$"1h:lY)p-o#!#;7$$"2KL$e*=)H\5!#<$"1l'4=K%=(G$!#;7$$"2mm;z/3uC"!#<$"2')y0Wx=8#Q!#<7$$"2)***\7LRDX"!#<$"218&G")HVXV!#<7$$"2lm;zR'ok;!#<$"1l_^6"*[c[!#;7$$"2)***\i5`h(=!#<$"1mHa/KbM`!#;7$$"2NLL$3En$4#!#<$"0"oN#QTOz&!#:7$$"2nmmT!RE&G#!#<$"1dG\vFdqh!#;7$$"+D.&4]#!#5$"1Q)eEviTc'!#;7$$"+vB_<F!#5$"1E5)>c.m#p!#;7$$"+v'Hi#H!#5$"1(G-P#o"[C(!#;7$$"2mm;z*ev:J!#<$"0Y<tXot](!#:7$$"1LLL347TL!#;$"164tb?%oy(!#;7$$"1LLLLY.KN!#;$"1>Nz)=xd*z!#;7$$"-D"o7Tv$!#7$"1yA9wwr1#)!#;7$$"1LLL$Q*o]R!#;$"1=FTI:jk$)!#;7$$"-D"=lj;%!#7$"1z'Qhaon])!#;7$$"-vV&R<P%!#7$"0R*oz5&=h)!#:7$$"2NLLe9Ege%!#<$"1RK#o(*=+p)!#;7$$"2LL$eR"3Gy%!#<$"1i!>Np*[L()!#;7$$"2mmmT5k]*\!#<$"18j#HZ"**\()!#;7$$"1mm"zRQb@&!#;$"1J#e'>,uL()!#;7$$"-v=>Y2a!#7$".pY<"*=p)!#87$$"1mm;zXu9c!#;$"1>[$e=Jxh)!#;7$$"*&y))Ge!"*$"1KGCE2`4&)!#;7$$"1****\i_QQg!#;$"1$)zJ;Yhs$)!#;7$$"1***\7y%3Ti!#;$"1vB,)*z*3@)!#;7$$"1****\P![hY'!#;$"1;sCwMk(*z!#;7$$"1LLL$Qx$om!#;$"1QOP<4yvx!#;7$$"+v.I%)o!#5$"1,7(QB%H2v!#;7$$"1mm"zpe*zq!#;$"1#GO_8?eB(!#;7$$"+D\'QH(!#5$"1h"\qHk$3p!#;7$$"1KLe9S8&\(!#;$"1UUC(=25d'!#;7$$"1***\i?=bq(!#;$"1DuZK*f!)='!#;7$$"1LLL3s?6z!#;$"1;=b1aq$y&!#;7$$"-DJXaE")!#7$"1_(QHv^'G`!#;7$$"1nmmm*RRL)!#;$"2B$>`/bpf[!#<7$$"1mm;a<.Y&)!#;$"1'ea%z0)*[V!#;7$$"1LLe9tOc()!#;$"/bF4mR6Q!#97$$"*&Qk\*)!"*$"2D,b.r4,H$!#<7$$"1LL$3dg6<*!#;$"1pQJAo\gE!#;7$$"1mmmmxGp$*!#;$"2a&*>Uaj#o?!#<7$$"-D"oK0e*!#7$"2%R-gC@b19!#<7$$"-v=5s#y*!#7$"0OC))zG&Ru!#;7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6$7ep7$$""!!""$""!!""7$$"1mmmT&)G\a!#=$"1V"*Rj*pI^'!#<7$$"2LLL$3x&)*3"!#=$"2$fo;#y-2F"!#<7$$",Dc'yM;!#7$"1kIj'G1!f=!#;7$$"2mmmmT:(z@!#=$"1$*fRlt-<C!#;7$$"2LLe*)4bQl#!#=$"1`tXu[ayG!#;7$$"-D"y%*z7$!#8$"2F(Ht6\E=L!#<7$$"1n;ajW8-O!#<$"2Y6.x</nt$!#<7$$"2NLLe9ui2%!#=$"1G?SsTPMT!#;7$$"-voMrU^!#8$"2(Q'\oqOb&\!#<7$$"1nmm"z_"4i!#<$"1%\3;+Y)zc!#;7$$"1nmmm6m#G(!#<$"14e+=rt;j!#;7$$"1mmmT&phN)!#<$"06wa?)fmo!#:7$$"-v=ddC%*!#8$"0M=zYeFL(!#:7$$"2KL$e*=)H\5!#<$"1$)3Re=>Bx!#;7$$"2)***\(=JN[6!#<$"1%z:oJ0>-)!#;7$$"2mm;z/3uC"!#<$"1/6&*)p[PE)!#;7$$"1LLe*ot*\8!#;$"1xU)Qx(Ge%)!#;7$$"2)***\7LRDX"!#<$"1`PI1(R+g)!#;7$$"2mm;z4wb]"!#<$"1mx^;O&Rl)!#;7$$"1LLekGhe:!#;$"1"*=#)[LO&p)!#;7$$"2)***\7j\;h"!#<$"06LMF,[s)!#:7$$"2lm;zR'ok;!#<$"17-r=;zU()!#;7$$"2)*****\2`vr"!#<$"1X'pKwW)\()!#;7$$"1LL3_(>/x"!#;$"1&**G!3&Rlu)!#;7$$"2kmm"HkGB=!#<$"1FmM,4PL()!#;7$$"2)***\i5`h(=!#<$"17bm`f#3r)!#;7$$"2mm"HdG"\)>!#<$"17:#o@()pj)!#;7$$"2NLL$3En$4#!#<$"0xtYnY&H&)!#:7$$"2nmmT!RE&G#!#<$"1Ki/#y:/F)!#;7$$"+D.&4]#!#5$"1b"="4#)o$*y!#;7$$"+vB_<F!#5$"12nB]&p3X(!#;7$$"+v'Hi#H!#5$"16"3)*4zi)p!#;7$$"2mm;z*ev:J!#<$"0JPn>'e\l!#:7$$"1LLL347TL!#;$"1GLuu*G<.'!#;7$$"1LLLLY.KN!#;$"1TlGi;')3c!#;7$$"-D"o7Tv$!#7$"1M3$4hO4:&!#;7$$"1LLL$Q*o]R!#;$"1*R$fK"Rxy%!#;7$$"-D"=lj;%!#7$"1YVLF5!fW%!#;7$$"-vV&R<P%!#7$"118NAh3%=%!#;7$$"2NLLe9Ege%!#<$"0`RF)fJ%)R!#:7$$"2OL3F9<Wo%!#<$"2m44GQ+#>R!#<7$$"2LL$eR"3Gy%!#<$"1Ha$z9p8(Q!#;7$$".v=7O*))[!#8$"2/g=vU^%RQ!#<7$$"2mmmT5k]*\!#<$"2(zHa$QZ"GQ!#<7$$"1m;/^7I0^!#;$"1;B?`rIQQ!#;7$$"1mm"zRQb@&!#;$"2()3*f^YrqQ!#<7$$"1LLLe,]6`!#;$"1wnK!zpo"R!#;7$$"-v=>Y2a!#7$"1///W)y%zR!#;7$$"1mm;zXu9c!#;$"2nOjMP2#pT!#<7$$"*&y))Ge!"*$"2/6X&Gz6RW!#<7$$"1****\i_QQg!#;$"2vSHus9*oZ!#<7$$"1***\7y%3Ti!#;$"1UgA;paT^!#;7$$"1****\P![hY'!#;$"1y$fivY\g&!#;7$$"1LLL$Qx$om!#;$"1F0c/TE`g!#;7$$"+v.I%)o!#5$"1z'y'okr\l!#;7$$"1mm"zpe*zq!#;$"11_+8zQ+q!#;7$$"+D\'QH(!#5$"1A=T)*4Nvu!#;7$$"1KLe9S8&\(!#;$"1F%phuxh)y!#;7$$"1***\i?=bq(!#;$"12Y*)e(zfD)!#;7$$"1LLL3s?6z!#;$"12&4D/K]`)!#;7$$"1m;zpe()=!)!#;$"0zs1[Z,k)!#:7$$"-DJXaE")!#7$"1*f^)3e>7()!#;7$$"1mT5!R$Ry")!#;$"1#Hah6ORt)!#;7$$"1L$e*[ACI#)!#;$"1_)eH!HkY()!#;7$$"1*\7y5"4#G)!#;$"0c&Q"ec)\()!#:7$$"1nmmm*RRL)!#;$"12I*p75Ju)!#;7$$"1n;a8H'pQ)!#;$"117%zX:as)!#;7$$"1nmTge)*R%)!#;$"1&>)\sFH'p)!#;7$$"1n;H2)3I\)!#;$"1c&zeY=_l)!#;7$$"1mm;a<.Y&)!#;$"0XD**zg;g)!#:7$$".vV`*>^')!#8$"1)pc%p'ojX)!#;7$$"1LLe9tOc()!#;$"1x`%GpFbD)!#;7$$"1m;H#e0I&))!#;$"1y1rf9?=!)!#;7$$"*&Qk\*)!"*$"1CA3>jpEx!#;7$$"1nmT5ASg!*!#;$"1xA50**G@t!#;7$$"1LL$3dg6<*!#;$"1u(e&3PNMo!#;7$$"-voTAq#*!#7$"1O!)=P11Dj!#;7$$"1mmmmxGp$*!#;$"1#fZQZA<u&!#;7$$"1L$eRA5\Z*!#;$"1xS2bWLL]!#;7$$"-D"oK0e*!#7$"2/tu$Gj\IU!#<7$$".Dcwz5j*!#8$"1-A&)49F6Q!#;7$$"*&oi"o*!"*$"2CylVqZ&oL!#<7$$".vV$R<K(*!#8$"2$>p(GT1<!H!#<7$$"-v=5s#y*!#7$"2lko*=?75C!#<7$$"/D1k2/P)*!#9$"2/`E!pGa`=!#<7$$".v$40O"*)*!#8$"1>`1(zloE"!#;7$$"/voa-oX**!#9$"1w@&*4d)G\'!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%'CURVESG6$7[s7$$""!!""$""!!""7$$"2mm;a8ABO"!#>$"1kP8(yO*3d!#<7$$"1LL$3FWYs#!#=$"2$=DBZW)e6"!#<7$$"-D1k'p3%!#9$"2`+`)*o7dj"!#<7$$"1mmmT&)G\a!#=$"2tBrf?/68#!#<7$$"1LL3x1h6o!#=$"1K*zATqFg#!#;7$$",D"G$R<)!#8$"1L80V&390$!#;7$$"1mm"z%\DO&*!#=$"21M>&[=qxM!#<7$$"2LLL$3x&)*3"!#=$"1*pr8z>B)Q!#;7$$"2mm;a8ABO"!#=$"1vA1o'R"HY!#;7$$",Dc'yM;!#7$"1&G1CZbpH&!#;7$$"2LL$e*)4D2>!#=$"1/d$\;Y1*e!#;7$$"2mmmmT:(z@!#=$"1$R5"H$))[T'!#;7$$"2LLe*)4bQl#!#=$"043E&)*zur!#:7$$"-D"y%*z7$!#8$"1A?^#[=,w(!#;7$$"1n;ajW8-O!#<$"1L&yGGH9>)!#;7$$"2NLLe9ui2%!#=$"1k$3V<Ux[)!#;7$$"20]il(R)GM%!#=$"1*QB5\$p,')!#;7$$"1n;H2Q\4Y!#<$"1"G#[q3W"o)!#;7$$"2'\ilA()zUZ!#=$"1siY0=O4()!#;7$$"1L3-QO5w[!#<$"1\D))*\j(H()!#;7$$"2mT&Q`&3%4]!#=$"1L`q!osHu)!#;7$$"-voMrU^!#8$"1ynWb!3$\()!#;7$$"1n"z%*HB$4a!#<$"1u#R5*GfU()!#;7$$"2ML3-8Lfn&!#=$"1G61R@,7()!#;7$$"/v$4'HaUf!#:$"1/7uC(R)f')!#;7$$"1nmm"z_"4i!#<$"1JR$\HL#)e)!#;7$$"1nmmm6m#G(!#<$"19Isw6<V")!#;7$$"1mmmT&phN)!#<$"1y'f()*Q`Iv!#;7$$"-v=ddC%*!#8$"1ZVivKQXo!#;7$$"2KL$e*=)H\5!#<$"1jx$e8zW:'!#;7$$"2)***\(=JN[6!#<$"1`,n*)3$Qb&!#;7$$"2mm;z/3uC"!#<$"1TK`]0y@]!#;7$$"1LLe*ot*\8!#;$"2v)3b&)f3kX!#<7$$"2)***\7LRDX"!#<$"2vti&R***Q@%!#<7$$"1LLekGhe:!#;$"29Nk?S,0(R!#<7$$"2lm;zR'ok;!#<$"2wS>Y")Gq%Q!#<7$$"1L$ekt>6p"!#;$"1QEH8pIMQ!#;7$$"2)*****\2`vr"!#<$"1EF)z[K&GQ!#;7$$"2mmTNT')Ru"!#<$"1%REPS`&HQ!#;7$$"1LL3_(>/x"!#;$"1[A<+Y?PQ!#;7$$"2kmm"HkGB=!#<$"1(RU&*fz;(Q!#;7$$"2)***\i5`h(=!#<$"1c3cf(>/$R!#;7$$"2mm"HdG"\)>!#<$"2'=pj%R8.7%!#<7$$"2NLL$3En$4#!#<$"2dwa\40)*Q%!#<7$$"2nmmT!RE&G#!#<$"1F+R9K`1]!#;7$$"+D.&4]#!#5$"1*pV>**)H>e!#;7$$"+vB_<F!#5$"1$)GqcMjZm!#;7$$"+v'Hi#H!#5$"1=H=oL9pt!#;7$$"2mm;z*ev:J!#<$"1>%3m"Rd4z!#;7$$"1LLL347TL!#;$"1zi$HOPuP)!#;7$$"2MLL3xxlV$!#<$"1)o543.g^)!#;7$$"1LLLLY.KN!#;$"1&=pmh]-i)!#;7$$"2nm"HdO2VO!#<$"0ZSI%R$4q)!#:7$$"-D"o7Tv$!#7$"1\#=)[j-U()!#;7$$"2jm"HK5S_Q!#<$"1"3mF!)R&\()!#;7$$"1LLL$Q*o]R!#;$"0teM'3BM()!#:7$$"1m;H#GF&eS!#;$"1sW/x]V'p)!#;7$$"-D"=lj;%!#7$"1.=(\,TDk)!#;7$$"-vV&R<P%!#7$"1%4"\!f**p^)!#;7$$"2NLLe9Ege%!#<$"1s&y>4N*)Q)!#;7$$"2LL$eR"3Gy%!#<$"1,)=*Rt;/$)!#;7$$".v=7O*))[!#8$"1%)*=QX%fy#)!#;7$$"2mmmT5k]*\!#<$"1%*f&e]m$p#)!#;7$$"1m;/^7I0^!#;$"1#o%R0Wmx#)!#;7$$"1mm"zRQb@&!#;$"1h/m5,l.$)!#;7$$"-v=>Y2a!#7$"17Oe*z([&Q)!#;7$$"1mm;zXu9c!#;$"1GB4kUU3&)!#;7$$"*&y))Ge!"*$"1j@nbR*)R')!#;7$$"1***\ibOO$f!#;$"1iTByx)Hp)!#;7$$"1****\i_QQg!#;$"1T.))e)48t)!#;7$$"1**\(=-N(Rh!#;$"1hX;ly4\()!#;7$$"1***\7y%3Ti!#;$"1:unkv)Hu)!#;7$$"1**\P4kh`j!#;$"1.@nHwq-()!#;7$$"1****\P![hY'!#;$"1Q>t(z8>i)!#;7$$"1mmT5FEnl!#;$"1"48j1,6^)!#;7$$"1LLL$Qx$om!#;$"13b6a@sh$)!#;7$$"+v.I%)o!#5$"08ZLgK%4z!#:7$$"1mm"zpe*zq!#;$"1Pf7poX\t!#;7$$"+D\'QH(!#5$"1f:8-JU0m!#;7$$"1KLe9S8&\(!#;$"1F281B\Me!#;7$$"1***\i?=bq(!#;$"1;SQL&3&R]!#;7$$"1LLL3s?6z!#;$"1s3Xg>CwV!#;7$$"1m;zpe()=!)!#;$"0/L;@kA6%!#:7$$"-DJXaE")!#7$"2thgozgo#R!#<7$$"1mT5!R$Ry")!#;$"17v;yB?qQ!#;7$$"1L$e*[ACI#)!#;$"1By>NM$p$Q!#;7$$"1;aQym;c#)!#;$"21>1pBG&HQ!#<7$$"1*\7y5"4#G)!#;$"0zjmY,&GQ!#:7$$"1%eRs`:!3$)!#;$"2()*RS$))3S$Q!#<7$$"1nmmm*RRL)!#;$"1R3--V>YQ!#;7$$"1nmTge)*R%)!#;$"1i@**3p4oR!#;7$$"1mm;a<.Y&)!#;$"1G")z=Q")4U!#;7$$".vV`*>^')!#8$"1\$zsYI(oX!#;7$$"1LLe9tOc()!#;$"/4R/)Q0/&!#97$$"1m;H#e0I&))!#;$"1<,,#)4mhb!#;7$$"*&Qk\*)!"*$"14iA9XzZh!#;7$$"1nmT5ASg!*!#;$"1"fk<hkS'o!#;7$$"1LL$3dg6<*!#;$"1OQ;l7Isv!#;7$$"-voTAq#*!#7$"1#>@x+va8)!#;7$$"1mmmmxGp$*!#;$"1%HE,sYub)!#;7$$"1$e*)4Q$p&R*!#;$"1XB]L2,N')!#;7$$"/DJ&**)4A%*!#9$"1P=='f!G%p)!#;7$$"1fRZ-=IN%*!#;$"1U9&3f<kr)!#;7$$"1;aj4Y][%*!#;$"1;qwBA?L()!#;7$$"1uoz;uqh%*!#;$"1<Xm[/OW()!#;7$$"1L$eRA5\Z*!#;$"0sO\36'\()!#:7$$"0D"GQeJ,&*!#:$"1xP%))[G7u)!#;7$$"1mTg_9sF&*!#;$"1L,B#zdcq)!#;7$$"1$3Fp1FTb*!#;$"1NOAD0QS')!#;7$$"-D"oK0e*!#7$"1HVxMCvU&)!#;7$$".Dcwz5j*!#8$"1Kyj=NUb#)!#;7$$"*&oi"o*!"*$"1WWZ#>F%=y!#;7$$".vV$R<K(*!#8$"1aLy2u+4s!#;7$$"-v=5s#y*!#7$"1O"z^@'Q-k!#;7$$"1^iS"*3))4)*!#;$"1c9RKR@ye!#;7$$"/D1k2/P)*!#9$"1s6.LE$\G&!#;7$$"0v=nj+U')*!#:$"1&[?D41zh%!#;7$$".v$40O"*)*!#8$"1Ox+e")HsQ!#;7$$"1DJqX/%\!**!#;$"1N#Q-we%oM!#;7$$"1^7.#Q?&=**!#;$"2Bu#zyo1VI!#<7$$"1w$f$=.5K**!#;$"1lR/K"faf#!#;7$$"/voa-oX**!#9$"2w]M:_e\7#!#<7$$"1Cc,">g#f**!#;$"2o'RbQU(3j"!#<7$$"0vVt7SG(**!#:$"2,&=')o9]76!#<7$$"1v=nj+U')**!#;$"1TBXb>@"p&!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%%VIEWG6$;$""!!""$"#5!"";$""!!""$"#"*!"#-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$I%!""-%)BOUNDS_YG6#$"#!)!""-%-BOUNDS_WIDTHG6#$"%!\$!""-%.BOUNDS_HEIGHTG6#$"%+N!""-%)CHILDRENG6"

The blue curve is our third iterate; however, for 3.5 we see that there are no other intersections than the expected two. We should,I suppose, try r=3.53 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

6+-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2mmmmT:(z@!#=7$$"2NLLe9ui2%!#=$"2NLLe9ui2%!#=7$$"1nmm"z_"4i!#<$"1nmm"z_"4i!#<7$$"1mmmT&phN)!#<$"1mmmT&phN)!#<7$$"2KL$e*=)H\5!#<$"2KL$e*=)H\5!#<7$$"2mm;z/3uC"!#<$"2mm;z/3uC"!#<7$$"2)***\7LRDX"!#<$"2)***\7LRDX"!#<7$$"2lm;zR'ok;!#<$"2lm;zR'ok;!#<7$$"2)***\i5`h(=!#<$"2)***\i5`h(=!#<7$$"2NLL$3En$4#!#<$"2NLL$3En$4#!#<7$$"2nmmT!RE&G#!#<$"2nmmT!RE&G#!#<7$$"+D.&4]#!#5$"+D.&4]#!#57$$"+vB_<F!#5$"+vB_<F!#57$$"+v'Hi#H!#5$"+v'Hi#H!#57$$"2mm;z*ev:J!#<$"2mm;z*ev:J!#<7$$"1LLL347TL!#;$"1LLL347TL!#;7$$"1LLLLY.KN!#;$"1LLLLY.KN!#;7$$"-D"o7Tv$!#7$"-D"o7Tv$!#77$$"1LLL$Q*o]R!#;$"1LLL$Q*o]R!#;7$$"-D"=lj;%!#7$"-D"=lj;%!#77$$"-vV&R<P%!#7$"-vV&R<P%!#77$$"2NLLe9Ege%!#<$"2NLLe9Ege%!#<7$$"2LL$eR"3Gy%!#<$"2LL$eR"3Gy%!#<7$$"2mmmT5k]*\!#<$"2mmmT5k]*\!#<7$$"1mm"zRQb@&!#;$"1mm"zRQb@&!#;7$$"-v=>Y2a!#7$"-v=>Y2a!#77$$"1mm;zXu9c!#;$"1mm;zXu9c!#;7$$"*&y))Ge!"*$"*&y))Ge!"*7$$"1****\i_QQg!#;$"1****\i_QQg!#;7$$"1***\7y%3Ti!#;$"1***\7y%3Ti!#;7$$"1****\P![hY'!#;$"1****\P![hY'!#;7$$"1LLL$Qx$om!#;$"1LLL$Qx$om!#;7$$"+v.I%)o!#5$"+v.I%)o!#57$$"1mm"zpe*zq!#;$"1mm"zpe*zq!#;7$$"+D\'QH(!#5$"+D\'QH(!#57$$"1KLe9S8&\(!#;$"1KLe9S8&\(!#;7$$"1***\i?=bq(!#;$"1***\i?=bq(!#;7$$"1LLL3s?6z!#;$"1LLL3s?6z!#;7$$"-DJXaE")!#7$"-DJXaE")!#77$$"1nmmm*RRL)!#;$"1nmmm*RRL)!#;7$$"1mm;a<.Y&)!#;$"1mm;a<.Y&)!#;7$$"1LLe9tOc()!#;$"1LLe9tOc()!#;7$$"*&Qk\*)!"*$"*&Qk\*)!"*7$$"1LL$3dg6<*!#;$"1LL$3dg6<*!#;7$$"1mmmmxGp$*!#;$"1mmmmxGp$*!#;7$$"-D"oK0e*!#7$"-D"oK0e*!#77$$"-v=5s#y*!#7$"-v=5s#y*!#77$$"#5!""$"#5!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1Nhi(\zm_(!#<7$$"2NLLe9ui2%!#=$"2X%)f\Dq-Q"!#<7$$"1nmm"z_"4i!#<$"2%32u.otb?!#<7$$"1mmmT&phN)!#<$"1*G%>)eVKq#!#;7$$"2KL$e*=)H\5!#<$"2l<Du=g`J$!#<7$$"2mm;z/3uC"!#<$"1n#H`$H2aQ!#;7$$"2)***\7LRDX"!#<$"2d9'p\&zEQ%!#<7$$"2lm;zR'ok;!#<$"2$QD/hh6)*[!#<7$$"2)***\i5`h(=!#<$"0>'HYzF!Q&!#:7$$"2NLL$3En$4#!#<$"1aTjl6IVe!#;7$$"2nmmT!RE&G#!#<$"1&z#G*RjMA'!#;7$$"+D.&4]#!#5$"1%[C[+F/i'!#;7$$"+vB_<F!#5$"1\^l\W(f)p!#;7$$"+v'Hi#H!#5$"1N(>OD:pI(!#;7$$"2mm;z*ev:J!#<$"1`(3)Htrrv!#;7$$"1LLL347TL!#;$"11'3iT'e`y!#;7$$"1LLLLY.KN!#;$"1@.%=U7V1)!#;7$$"-D"o7Tv$!#7$"16#40(41x#)!#;7$$"1LLL$Q*o]R!#;$"1p>5s$GjV)!#;7$$"-D"=lj;%!#7$"1#e0^q$oz&)!#;7$$"-vV&R<P%!#7$"1Gn3Ypm&o)!#;7$$"2NLLe9Ege%!#<$"1Ruw`[]k()!#;7$$"2LL$eR"3Gy%!#<$"1ojgw"[$3))!#;7$$"2mmmT5k]*\!#<$"06P)*R"*\#))!#:7$$"1mm"zRQb@&!#;$"1,`D\2g3))!#;7$$"-v=>Y2a!#7$"10L-*4$Rm()!#;7$$"1mm;zXu9c!#;$"1u>9`uf"p)!#;7$$"*&y))Ge!"*$"1*>R5cpCe)!#;7$$"1****\i_QQg!#;$"1^yX%))zVW)!#;7$$"1***\7y%3Ti!#;$"1C'4P7x7G)!#;7$$"1****\P![hY'!#;$"0iVgq%>m!)!#:7$$"1LLL$Qx$om!#;$"1$)R4o/VUy!#;7$$"+v.I%)o!#5$"1E:;qCkrv!#;7$$"1mm"zpe*zq!#;$"1k6o]9%yH(!#;7$$"+D\'QH(!#5$"1Cn;[)yv'p!#;7$$"1KLe9S8&\(!#;$"00#*f5Iti'!#:7$$"1***\i?=bq(!#;$"1uV=Y/5Ti!#;7$$"1LLL3s?6z!#;$"1fAKC+GLe!#;7$$"-DJXaE")!#7$"1%3@3"fKu`!#;7$$"1nmmm*RRL)!#;$"2&>zUP+N,\!#<7$$"1mm;a<.Y&)!#;$"21"*\ebdiQ%!#<7$$"1LLe9tOc()!#;$"2$*GpIslS%Q!#<7$$"*&Qk\*)!"*$"1%[H2l5$=L!#;7$$"1LL$3dg6<*!#;$"2`%3z!3,Lo#!#<7$$"1mmmmxGp$*!#;$"2k7cu^"*f3#!#<7$$"-D"oK0e*!#7$"29CocG3'=9!#<7$$"-v=5s#y*!#7$"1p&G&)='H.v!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6$7bp7$$""!!""$""!!""7$$"1mmmT&)G\a!#=$"1O$p:t1'\h!#<7$$"2LLL$3x&)*3"!#=$"2F]#z@=Z+7!#<7$$",Dc'yM;!#7$"1&*>dnTGd<!#;7$$"2mmmmT:(z@!#=$"2&z[Q9,9'G#!#<7$$"2LLe*)4bQl#!#=$"1)fzTn@Ts#!#;7$$"-D"y%*z7$!#8$"2v49<us>9$!#<7$$"1n;ajW8-O!#<$"1_O>#)p;SN!#;7$$"2NLLe9ui2%!#=$"2/b:NHt">R!#<7$$"-voMrU^!#8$"1_2.#4=Rq%!#;7$$"1nmm"z_"4i!#<$"1iuKh^7*R&!#;7$$"1nmmm6m#G(!#<$"1pYQ>Kk8g!#;7$$"1mmmT&phN)!#<$"1%y"\/'=wa'!#;7$$"-v=ddC%*!#8$"1JyF!\mR+(!#;7$$"2KL$e*=)H\5!#<$"1kFla19!R(!#;7$$"2)***\(=JN[6!#<$"1puQw6]*o(!#;7$$"2mm;z/3uC"!#<$"1Cv'y5!3Oz!#;7$$"1LLe*ot*\8!#;$"1&QQWP$\R")!#;7$$"2)***\7LRDX"!#<$"1:3Al6#QH)!#;7$$"1LLekGhe:!#;$"1*3P=c!p0%)!#;7$$"2lm;zR'ok;!#<$"1Jrfx/"HZ)!#;7$$"2)*****\2`vr"!#<$"1^Hn=:$4\)!#;7$$"1LL3_(>/x"!#;$"1V0suAF*\)!#;7$$"2kmm"HkGB=!#<$"1Y))>ilQ)\)!#;7$$"2)***\i5`h(=!#<$"0P="H3s)[)!#:7$$"2mm"HdG"\)>!#<$"17%z1<%3V%)!#;7$$"2NLL$3En$4#!#<$"1A\A')H'eO)!#;7$$"2nmmT!RE&G#!#<$"1,_6mZ)Q;)!#;7$$"+D.&4]#!#5$"1CvWejnby!#;7$$"+vB_<F!#5$"1QY[O?%R[(!#;7$$"+v'Hi#H!#5$"1(yI$Hc2)3(!#;7$$"2mm;z*ev:J!#<$"1'fr3eIDr'!#;7$$"1LLL347TL!#;$"1G*=$f"yTE'!#;7$$"1LLLLY.KN!#;$"14p1SvC'*e!#;7$$"-D"o7Tv$!#7$"0A9HLoj\&!#:7$$"1LLL$Q*o]R!#;$"1XSM')HKy^!#;7$$"-D"=lj;%!#7$"2;(*R:?p$y[!#<7$$"-vV&R<P%!#7$"1N'Q6'oF[Y!#;7$$"2NLLe9Ege%!#<$"1@fy*z@DZ%!#;7$$"2OL3F9<Wo%!#<$"1@qlR/?:W!#;7$$"2LL$eR"3Gy%!#<$"2c'**GoV3tV!#<7$$".v=7O*))[!#8$"2%)4^8lv\M%!#<7$$"2mmmT5k]*\!#<$"1P5d9(>]L%!#;7$$"1m;/^7I0^!#;$"1x'RJ'y'RM%!#;7$$"1mm"zRQb@&!#;$"10q5;!3DP%!#;7$$"1LLLe,]6`!#;$"19h[=&[JT%!#;7$$"-v=>Y2a!#7$"2Oa%39UEoW!#<7$$"1mm;zXu9c!#;$"1[W(GB#>NY!#;7$$"*&y))Ge!"*$"1jCO<<Ts[!#;7$$"1****\i_QQg!#;$"00HFy>=;&!#:7$$"1***\7y%3Ti!#;$"1w#**)y^:)[&!#;7$$"1****\P![hY'!#;$"1LRz<[$G*e!#;7$$"1LLL$Qx$om!#;$"1L:SZe(GG'!#;7$$"+v.I%)o!#5$"1s<P)*Hk7n!#;7$$"1mm"zpe*zq!#;$"1)p(=X.;+r!#;7$$"+D\'QH(!#5$"1>bMnKm/v!#;7$$"1KLe9S8&\(!#;$"19'*zAtV\y!#;7$$"1***\i?=bq(!#;$"1p3;;8I_")!#;7$$"1m;H2FO3y!#;$"11tHWaCs#)!#;7$$"1LLL3s?6z!#;$"009O&Q&*p$)!#:7$$"1m;zpe()=!)!#;$"1\D-`hAX%)!#;7$$"-DJXaE")!#7$"1#47mo>%*[)!#;7$$"1mT5!R$Ry")!#;$"1'p*z1@b)\)!#;7$$"1L$e*[ACI#)!#;$"1F4M9eA*\)!#;7$$"1*\7y5"4#G)!#;$"0"3!)*\>5\)!#:7$$"1nmmm*RRL)!#;$"1=PcO]]t%)!#;7$$"1nmTge)*R%)!#;$"1C2cf5'oS)!#;7$$"1mm;a<.Y&)!#;$"0M.w,UcH)!#:7$$".vV`*>^')!#8$"1l\t(=^u8)!#;7$$"1LLe9tOc()!#;$"1rhp*[2w#z!#;7$$"1m;H#e0I&))!#;$"1CF$[0gdo(!#;7$$"*&Qk\*)!"*$"1T4x%HHOR(!#;7$$"1nmT5ASg!*!#;$"1*f\<N'o#*p!#;7$$"1LL$3dg6<*!#;$"1o:pzP>;l!#;7$$"-voTAq#*!#7$"1,'HyT*p@g!#;7$$"1mmmmxGp$*!#;$"1;a5?)y'ea!#;7$$"1L$eRA5\Z*!#;$"2<eWL'zVyZ!#<7$$"-D"oK0e*!#7$"1NSSym(3,%!#;7$$".Dcwz5j*!#8$"1,?Yg'*=6O!#;7$$"*&oi"o*!"*$"1*e63E#z*=$!#;7$$".vV$R<K(*!#8$"2WDQ$>s6YF!#<7$$"-v=5s#y*!#7$"2ZFI!=6fzA!#<7$$"/D1k2/P)*!#9$"2$onpL)4@v"!#<7$$".v$40O"*)*!#8$"2M:F:`Uo>"!#<7$$"/voa-oX**!#9$"1j7Viz`Ih!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%'CURVESG6$7cr7$$""!!""$""!!""7$$"2mm;a8ABO"!#>$"2'Gi-yP7R_!#=7$$"1LL$3FWYs#!#=$"274"R>0=D5!#<7$$"-D1k'p3%!#9$"2V8F")*HV/:!#<7$$"1mmmT&)G\a!#=$"20]$pMiGi>!#<7$$"1LL3x1h6o!#=$"2l=POmW$*R#!#<7$$",D"G$R<)!#8$"19vM)*3?;G!#;7$$"1mm"z%\DO&*!#=$"1*=yW*eV8K!#;7$$"2LLL$3x&)*3"!#=$"2WXA=6>;f$!#<7$$"2mm;a8ABO"!#=$"1*f<0`^IH%!#;7$$",Dc'yM;!#7$"2`0T-(*H[#\!#<7$$"2LL$e*)4D2>!#=$"1DWU;C6"\&!#;7$$"2mmmmT:(z@!#=$"1*oCs$z)e*f!#;7$$"2LLe*)4bQl#!#=$"192mn%G*Qn!#;7$$"-D"y%*z7$!#8$"1M'Q0!)HiK(!#;7$$"1n;ajW8-O!#<$"1@;Wq<Uvx!#;7$$"2NLLe9ui2%!#=$"1$*pQMm"G5)!#;7$$"1n;H2Q\4Y!#<$"1u)yFe&>W$)!#;7$$"-voMrU^!#8$"1>HGrS>q%)!#;7$$"1n"z%*HB$4a!#<$"1'[u!zYd&\)!#;7$$"2ML3-8Lfn&!#=$"1yWJujn)\)!#;7$$"/v$4'HaUf!#:$"1r,QaAZ"[)!#;7$$"1nmm"z_"4i!#<$"17C!fpPeW)!#;7$$"1nmmm6m#G(!#<$"1l/4C$f1:)!#;7$$"1mmmT&phN)!#<$"130ri!eco(!#;7$$"-v=ddC%*!#8$"13o)RA+Y8(!#;7$$"2KL$e*=)H\5!#<$"0'=L,uldl!#:7$$"2)***\(=JN[6!#<$"1W:bj$Q1/'!#;7$$"2mm;z/3uC"!#<$"1vF1Cu+pb!#;7$$"1LLe*ot*\8!#;$"1X:jfw")[^!#;7$$"2)***\7LRDX"!#<$"2NvCZK_7"[!#<7$$"1LLekGhe:!#;$"2Fo%)4TKkb%!#<7$$"2lm;zR'ok;!#<$"2PmipbB#*R%!#<7$$"1L$ekt>6p"!#;$"2wB*pEN)\P%!#<7$$"2)*****\2`vr"!#<$"1h"e[-blN%!#;7$$"2mmTNT')Ru"!#<$"1Di"3#3%QM%!#;7$$"1LL3_(>/x"!#;$"0_1h!=tOV!#:7$$"2'**\i!4`oz"!#<$"0=I"Hz5NV!#:7$$"2kmm"HkGB=!#<$"2F-&)o4R)QV!#<7$$"2KL3xw>(\=!#<$"1&HIV/'yZV!#;7$$"2)***\i5`h(=!#<$"1:<+s6!=O%!#;7$$"2mm"HdG"\)>!#<$"1M(HQFe$pW!#;7$$"2NLL$3En$4#!#<$"2kv1<cG"[Y!#<7$$"2nmmT!RE&G#!#<$"19I\$GVl4&!#;7$$"+D.&4]#!#5$"1AL<i#Qts&!#;7$$"+vB_<F!#5$"1Z2>m3@-k!#;7$$"+v'Hi#H!#5$"1Xi]c'zv,(!#;7$$"2mm;z*ev:J!#<$"1iqDj7'G](!#;7$$"1LLL347TL!#;$"1U.r<-jcz!#;7$$"1LLLLY.KN!#;$"1mT&zr"*oA)!#;7$$"2nm"HdO2VO!#<$"1v@j$)=LP$)!#;7$$"-D"o7Tv$!#7$"1&=ZDGIiT)!#;7$$"2jm"HK5S_Q!#<$"1nCGmNSi%)!#;7$$"1LLL$Q*o]R!#;$"1cSE5$)=*[)!#;7$$"1m;H#GF&eS!#;$"1Kv%3qW)*\)!#;7$$"-D"=lj;%!#7$"1JWhA+(\\)!#;7$$"-vV&R<P%!#7$"1L/U$))QzX)!#;7$$"2NLLe9Ege%!#<$"1K;U%p+aS)!#;7$$"2LL$eR"3Gy%!#<$"1()R%)3@Pm$)!#;7$$"2mmmT5k]*\!#<$"1yoz9Cl\$)!#;7$$"1mm"zRQb@&!#;$"165X&HEhO)!#;7$$"-v=>Y2a!#7$"1P@N)RnQS)!#;7$$"1mm;zXu9c!#;$"1c_j*>^ZX)!#;7$$"*&y))Ge!"*$"1DaC=_Y%\)!#;7$$"1***\ibOO$f!#;$"1\*H]`i**\)!#;7$$"1****\i_QQg!#;$"1f>p")o4"\)!#;7$$"1**\(=-N(Rh!#;$"0)\]&y@_Y)!#:7$$"1***\7y%3Ti!#;$"1(pYs`z*=%)!#;7$$"1**\P4kh`j!#;$"14)3^?D,M)!#;7$$"1****\P![hY'!#;$"1ee'fjn*G#)!#;7$$"1LLL$Qx$om!#;$"1"H_/0Q/%z!#;7$$"+v.I%)o!#5$"1pNWY.t-v!#;7$$"1mm"zpe*zq!#;$"0PI$=5P+q!#:7$$"+D\'QH(!#5$"1C9&=0lqO'!#;7$$"1KLe9S8&\(!#;$"1L%o2OS%Rd!#;7$$"1***\i?=bq(!#;$"1aV7!y=97&!#;7$$"1LLL3s?6z!#;$"2a,M$[(f(QY!#<7$$"1m;zpe()=!)!#;$"17+a'pTVY%!#;7$$"-DJXaE")!#7$"0bK_3V,O%!#:7$$"1$3x1'*oC:)!#;$"1`**4$p]oM%!#;7$$"1mT5!R$Ry")!#;$"1>D/t_WQV!#;7$$"1\7`>yJ/#)!#;$"2E6lq^l]L%!#<7$$"1L$e*[ACI#)!#;$"2d-&3eB%oL%!#<7$$"1;aQym;c#)!#;$"1"fn$3#)*QM%!#;7$$"1*\7y5"4#G)!#;$"2/d$ophMcV!#<7$$"1%eRs`:!3$)!#;$"1'4_Y@*GuV!#;7$$"1nmmm*RRL)!#;$"11'G(Q$>yR%!#;7$$"1nmTge)*R%)!#;$"2ce)3D7s`X!#<7$$"1mm;a<.Y&)!#;$"2:^9_&G<2[!#<7$$".vV`*>^')!#8$"1bt::g<`^!#;7$$"1LLe9tOc()!#;$"1hML"*))*ee&!#;7$$"1m;H#e0I&))!#;$"1tSZ&fvu/'!#;7$$"*&Qk\*)!"*$"1%)Gt">$)>b'!#;7$$"1nmT5ASg!*!#;$"1'H2_PG*\r!#;7$$"1LL$3dg6<*!#;$"1iVi$=$R=x!#;7$$"-voTAq#*!#7$"1ji'=I%3X")!#;7$$"1mmmmxGp$*!#;$"1zafr'o%G%)!#;7$$"1$e*)4Q$p&R*!#;$"1%4\>'H5q%)!#;7$$"/DJ&**)4A%*!#9$"1T2]4xK%\)!#;7$$"1;aj4Y][%*!#;$"1"QhFNc$*\)!#;7$$"1L$eRA5\Z*!#;$"1b/t*[4L[)!#;7$$"1mTg_9sF&*!#;$"1M9mm*))*z$)!#;7$$"-D"oK0e*!#7$"1)[*e=fNn")!#;7$$".Dcwz5j*!#8$"1(Rpe)*4U%y!#;7$$"*&oi"o*!"*$"16S$**HqeQ(!#;7$$".vV$R<K(*!#8$"1,Cv>U!Gx'!#;7$$"-v=5s#y*!#7$"1yg1vwy$)f!#;7$$"1^iS"*3))4)*!#;$"01W^$4?za!#:7$$"/D1k2/P)*!#9$"0Y%**=7T8\!#:7$$"0v=nj+U')*!#:$"0K4"eRY#G%!#:7$$".v$40O"*)*!#8$"1J(*z6xB#e$!#;7$$"1DJqX/%\!**!#;$"1L9J,-"[?$!#;7$$"1^7.#Q?&=**!#;$"2Wk4+LR%3G!#<7$$"1w$f$=.5K**!#;$"1czZ:3c#R#!#;7$$"/voa-oX**!#9$"2En;=-*fc>!#<7$$"1Cc,">g#f**!#;$"2&pjH+o'**\"!#<7$$"0vVt7SG(**!#:$"2o$Q\G`1A5!#<7$$"1v=nj+U')**!#;$"1)H8!z%RGA&!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%%VIEWG6$;$""!!""$"#5!"";$""!!""$"#"*!"#-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$I%!""-%)BOUNDS_YG6#$"#!)!""-%-BOUNDS_WIDTHG6#$"%!\$!""-%.BOUNDS_HEIGHTG6#$"%+N!""-%)CHILDRENG6"

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

6+-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2mmmmT:(z@!#=7$$"2NLLe9ui2%!#=$"2NLLe9ui2%!#=7$$"1nmm"z_"4i!#<$"1nmm"z_"4i!#<7$$"1mmmT&phN)!#<$"1mmmT&phN)!#<7$$"2KL$e*=)H\5!#<$"2KL$e*=)H\5!#<7$$"2mm;z/3uC"!#<$"2mm;z/3uC"!#<7$$"2)***\7LRDX"!#<$"2)***\7LRDX"!#<7$$"2lm;zR'ok;!#<$"2lm;zR'ok;!#<7$$"2)***\i5`h(=!#<$"2)***\i5`h(=!#<7$$"2NLL$3En$4#!#<$"2NLL$3En$4#!#<7$$"2nmmT!RE&G#!#<$"2nmmT!RE&G#!#<7$$"+D.&4]#!#5$"+D.&4]#!#57$$"+vB_<F!#5$"+vB_<F!#57$$"+v'Hi#H!#5$"+v'Hi#H!#57$$"2mm;z*ev:J!#<$"2mm;z*ev:J!#<7$$"1LLL347TL!#;$"1LLL347TL!#;7$$"1LLLLY.KN!#;$"1LLLLY.KN!#;7$$"-D"o7Tv$!#7$"-D"o7Tv$!#77$$"1LLL$Q*o]R!#;$"1LLL$Q*o]R!#;7$$"-D"=lj;%!#7$"-D"=lj;%!#77$$"-vV&R<P%!#7$"-vV&R<P%!#77$$"2NLLe9Ege%!#<$"2NLLe9Ege%!#<7$$"2LL$eR"3Gy%!#<$"2LL$eR"3Gy%!#<7$$"2mmmT5k]*\!#<$"2mmmT5k]*\!#<7$$"1mm"zRQb@&!#;$"1mm"zRQb@&!#;7$$"-v=>Y2a!#7$"-v=>Y2a!#77$$"1mm;zXu9c!#;$"1mm;zXu9c!#;7$$"*&y))Ge!"*$"*&y))Ge!"*7$$"1****\i_QQg!#;$"1****\i_QQg!#;7$$"1***\7y%3Ti!#;$"1***\7y%3Ti!#;7$$"1****\P![hY'!#;$"1****\P![hY'!#;7$$"1LLL$Qx$om!#;$"1LLL$Qx$om!#;7$$"+v.I%)o!#5$"+v.I%)o!#57$$"1mm"zpe*zq!#;$"1mm"zpe*zq!#;7$$"+D\'QH(!#5$"+D\'QH(!#57$$"1KLe9S8&\(!#;$"1KLe9S8&\(!#;7$$"1***\i?=bq(!#;$"1***\i?=bq(!#;7$$"1LLL3s?6z!#;$"1LLL3s?6z!#;7$$"-DJXaE")!#7$"-DJXaE")!#77$$"1nmmm*RRL)!#;$"1nmmm*RRL)!#;7$$"1mm;a<.Y&)!#;$"1mm;a<.Y&)!#;7$$"1LLe9tOc()!#;$"1LLe9tOc()!#;7$$"*&Qk\*)!"*$"*&Qk\*)!"*7$$"1LL$3dg6<*!#;$"1LL$3dg6<*!#;7$$"1mmmmxGp$*!#;$"1mmmmxGp$*!#;7$$"-D"oK0e*!#7$"-D"oK0e*!#77$$"-v=5s#y*!#7$"-v=5s#y*!#77$$"#5!""$"#5!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1WWGlP$fn(!#<7$$"2NLLe9ui2%!#=$"2(Qo@`5k29!#<7$$"1nmm"z_"4i!#<$"1d]zA@]'4#!#;7$$"1mmmT&phN)!#<$"2/KF^)*[ov#!#<7$$"2KL$e*=)H\5!#<$"2(p8'Q(Q5"Q$!#<7$$"2mm;z/3uC"!#<$"2DQ<3J*\IR!#<7$$"2)***\7LRDX"!#<$"2'[=K4#)epW!#<7$$"2lm;zR'ok;!#<$"1WGFVfC&*\!#;7$$"2)***\i5`h(=!#<$"00(Q5!pp[&!#:7$$"2NLL$3En$4#!#<$"0H"G$*R<ff!#:7$$"2nmmT!RE&G#!#<$"1`Eza[(oM'!#;7$$"+D.&4]#!#5$"1hw()f-r^n!#;7$$"+vB_<F!#5$"0x%*3_1X7(!#:7$$"+v'Hi#H!#5$"1"y$4!f6=X(!#;7$$"2mm;z*ev:J!#<$"1-^&*)pk=s(!#;7$$"1LLL347TL!#;$"1CKKdKK4!)!#;7$$"1LLLLY.KN!#;$"1">;c'zAC#)!#;7$$"-D"o7Tv$!#7$"1e?.C`>T%)!#;7$$"1LLL$Q*o]R!#;$"1C-r-5i.')!#;7$$"-D"=lj;%!#7$"1c$Gg2>)\()!#;7$$"-vV&R<P%!#7$"1;0onR!z&))!#;7$$"2NLLe9Ege%!#<$"1/RIL_IQ*)!#;7$$"2LL$eR"3Gy%!#<$"0vw/(z,$)*)!#:7$$"2mmmT5k]*\!#<$"1OcHH7*****)!#;7$$"1mm"zRQb@&!#;$"1m%[;bvK)*)!#;7$$"-v=>Y2a!#7$"1&o;D#4BS*)!#;7$$"1mm;zXu9c!#;$"1r'eo2_R'))!#;7$$"*&y))Ge!"*$"1bScv,m_()!#;7$$"1****\i_QQg!#;$"16Uyw@$=h)!#;7$$"1***\7y%3Ti!#;$"1s)pO3&\X%)!#;7$$"1****\P![hY'!#;$"1l&obdZhA)!#;7$$"1LLL$Qx$om!#;$"1c9W'3Yz*z!#;7$$"+v.I%)o!#5$"0&*Q[N)y@x!#:7$$"1mm"zpe*zq!#;$"0*eQ`ybUu!#:7$$"+D\'QH(!#5$"14x5Mhu0r!#;7$$"1KLe9S8&\(!#;$"1Npt\-ven!#;7$$"1***\i?=bq(!#;$"1BR$[kh[O'!#;7$$"1LLL3s?6z!#;$"1'H`C8a*[f!#;7$$"-DJXaE")!#7$"0')ze%*)*3[&!#:7$$"1nmmm*RRL)!#;$"1f&=v%Ra)*\!#;7$$"1mm;a<.Y&)!#;$"1.!Ru;PKZ%!#;7$$"1LLe9tOc()!#;$"2'*za_l$H?R!#<7$$"*&Qk\*)!"*$"1&eO\%G6%Q$!#;7$$"1LL$3dg6<*!#;$"2E7Ps,6lt#!#<7$$"1mmmmxGp$*!#;$"2c_S$)yct7#!#<7$$"-D"oK0e*!#7$"2hCg"G$RnW"!#<7$$"-v=5s#y*!#7$"1d]]kn3_w!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6$7dp7$$""!!""$""!!""7$$"1mmmT&)G\a!#=$"1ke)3dbn)o!#<7$$"2LLL$3x&)*3"!#=$"1$\iOnXGM"!#;7$$",Dc'yM;!#7$"2=XUu\,M'>!#<7$$"2mmmmT:(z@!#=$"1yQ\-VA^D!#;7$$"2LLe*)4bQl#!#=$"2'*==vOLn.$!#<7$$"-D"y%*z7$!#8$"1$>zF?*o)\$!#;7$$"1n;ajW8-O!#<$"-"[2aw$R!#77$$"2NLLe9ui2%!#=$"16")3"f%=aV!#;7$$"-voMrU^!#8$"1O(*Q%Q9>@&!#;7$$"1nmm"z_"4i!#<$"/RuF?4lf!#97$$"1nmmm6m#G(!#<$"12]oy4wBm!#;7$$"1mmmT&phN)!#<$"0C6)o%y&)=(!#:7$$"-v=ddC%*!#8$"1(ei%*f?Lm(!#;7$$"2KL$e*=)H\5!#<$"1-%)z>J]c!)!#;7$$"2mm;z/3uC"!#<$"1[;Iz0A)e)!#;7$$"1LLe*ot*\8!#;$"1ct()*G,=x)!#;7$$"2)***\7LRDX"!#<$"1b9j*z=()*))!#;7$$"2mm;z4wb]"!#<$"1k;n2ybV*)!#;7$$"1LLekGhe:!#;$"1z'RAD)*\(*)!#;7$$"2)***\7j\;h"!#<$"1efY^%>O**)!#;7$$"2lm;zR'ok;!#<$"02?O'=*****)!#:7$$"2)*****\2`vr"!#<$"1#3U;A7Z**)!#;7$$"1LL3_(>/x"!#;$"1'4d"*on$y*)!#;7$$"2kmm"HkGB=!#<$"1_&\6(p\^*)!#;7$$"2)***\i5`h(=!#<$"1c@&e-IY"*)!#;7$$"2mm"HdG"\)>!#<$"1:Stvob4))!#;7$$"2NLL$3En$4#!#<$"1<1A!p%zo')!#;7$$"2nmmT!RE&G#!#<$"1:)*=DT$pM)!#;7$$"+D.&4]#!#5$"1j"e&>SM&*y!#;7$$"+vB_<F!#5$"1;KON*H^P(!#;7$$"+v'Hi#H!#5$"0X0O<.f$o!#:7$$"2mm;z*ev:J!#<$"1Q&4=#H#HL'!#;7$$"1LLL347TL!#;$"1ug&=ZI)Rd!#;7$$"1LLLLY.KN!#;$"1`eE\ucd_!#;7$$"-D"o7Tv$!#7$"1j&pq!H%pt%!#;7$$"1LLL$Q*o]R!#;$"1ssxS'4]K%!#;7$$"-D"=lj;%!#7$"1'QRH[))z$R!#;7$$"-vV&R<P%!#7$"2cx:9rn>k$!#<7$$"2NLLe9Ege%!#<$"1">f,o5jT$!#;7$$"2OL3F9<Wo%!#<$"1v!G'zZzUL!#;7$$"2LL$eR"3Gy%!#<$"1Q$p[U/))G$!#;7$$".v=7O*))[!#8$"1#)e!3-#y_K!#;7$$"2mmmT5k]*\!#<$"2W(3gf_-SK!#<7$$"1m;/^7I0^!#;$"2vi\%o1\^K!#<7$$"1mm"zRQb@&!#;$"1e-n;d1)G$!#;7$$"1LLLe,]6`!#;$"1)yA*fQ;SL!#;7$$"-v=>Y2a!#7$"1#f2)**)[3T$!#;7$$"1mm;zXu9c!#;$"1Vi=lZ:DO!#;7$$"*&y))Ge!"*$"1*zC%y\JIR!#;7$$"1****\i_QQg!#;$"2CkGwf!o.V!#<7$$"1***\7y%3Ti!#;$"2$GkA1HGEZ!#<7$$"1****\P![hY'!#;$"1/^Vb)4JD&!#;7$$"1LLL$Qx$om!#;$"1GXgM\Vkd!#;7$$"+v.I%)o!#5$"0rEX`sIL'!#:7$$"1mm"zpe*zq!#;$"1[1$y+3A&o!#;7$$"+D\'QH(!#5$"1e&G(e**p.u!#;7$$"1KLe9S8&\(!#;$"1)4e77Zk)y!#;7$$"1***\i?=bq(!#;$"1Ygco\PH$)!#;7$$"1LLL3s?6z!#;$"1M*>'z\"en)!#;7$$"1m;zpe()=!)!#;$"08$4WB%Q"))!#:7$$"-DJXaE")!#7$"1*e'QL]u;*)!#;7$$"1mT5!R$Ry")!#;$"1awGEt]_*)!#;7$$"1L$e*[ACI#)!#;$"1huX^&Q'y*)!#;7$$"1*\7y5"4#G)!#;$"1i)G:fQY**)!#;7$$"1nmmm*RRL)!#;$"1B!onB******)!#;7$$"1n;a8H'pQ)!#;$"1D(4QrRR**)!#;7$$"1nmTge)*R%)!#;$"13TO$e_c(*)!#;7$$"1n;H2)3I\)!#;$"1fosl!oX%*)!#;7$$"1mm;a<.Y&)!#;$"1LOcIv5+*)!#;7$$".vV`*>^')!#8$"1/G#>8I+x)!#;7$$"1LLe9tOc()!#;$"10@G:VK!e)!#;7$$"1m;H#e0I&))!#;$"1\M8'H)H\$)!#;7$$"*&Qk\*)!"*$"1$QcF82+1)!#;7$$"1nmT5ASg!*!#;$"1;M--.q^w!#;7$$"1LL$3dg6<*!#;$"1*)z'\M#ebr!#;7$$"-voTAq#*!#7$"1&=(=.5MKm!#;7$$"1mmmmxGp$*!#;$"1FCE_:DHg!#;7$$"1L$eRA5\Z*!#;$"0Ds&*H$)HH&!#:7$$"-D"oK0e*!#7$"1&[k_*=waW!#;7$$".Dcwz5j*!#8$"2t3G-@3e,%!#<7$$"*&oi"o*!"*$"2$zZ$pns9b$!#<7$$".vV$R<K(*!#8$"1t&pl#>3hI!#;7$$"-v=5s#y*!#7$"1sjb!GbRa#!#;7$$"/D1k2/P)*!#9$"2Oy'3NBkd>!#<7$$".v$40O"*)*!#8$"1'R*4]dzQ8!#;7$$"/voa-oX**!#9$"1D*GRZDa'o!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%'CURVESG6$7is7$$""!!""$""!!""7$$"2mm;a8ABO"!#>$"1A"e$>B[0i!#<7$$"1LL$3FWYs#!#=$"2FzV:dq:@"!#<7$$"-D1k'p3%!#9$"2eee$>`$Rx"!#<7$$"1mmmT&)G\a!#=$"2:ljsN$\3B!#<7$$"1LL3x1h6o!#=$"1$)\n#Ryg"G!#;7$$",D"G$R<)!#8$"0U,/?2vH$!#:7$$"1mm"z%\DO&*!#=$"2m>&>i)zNv$!#<7$$"2LLL$3x&)*3"!#=$"13j+/+3&=%!#;7$$"2mm;a8ABO"!#=$"0jI+O;u(\!#:7$$",Dc'yM;!#7$"1#\NB.l/o&!#;7$$"2LL$e*)4D2>!#=$"1/RL&HE**H'!#;7$$"2mmmmT:(z@!#=$"1F#*)*H"f7%o!#;7$$"2LLe*)4bQl#!#=$"1s?s'G5Ch(!#;7$$"-D"y%*z7$!#8$"1iLX?Pe)=)!#;7$$"1n;ajW8-O!#<$"1#f$o3;r$f)!#;7$$"2NLLe9ui2%!#=$"0JSZ3_)\))!#:7$$"20]il(R)GM%!#=$"0hwB[=h$*)!#:7$$"1n;H2Q\4Y!#<$"1(=&)ok"4&)*)!#;7$$"1L3-QO5w[!#<$"1/K!4jz****)!#;7$$"-voMrU^!#8$"0%zsDK$Q)*)!#:7$$"2ML3-8Lfn&!#=$"1pv:#G%))p))!#;7$$"1nmm"z_"4i!#<$"0mug0&pk')!#:7$$"1nmmm6m#G(!#<$"1mfF-T#30)!#;7$$"1mmmT&phN)!#<$"10"3HuWcF(!#;7$$"-v=ddC%*!#8$"1o@T=/UYk!#;7$$"2KL$e*=)H\5!#<$"1\&=V#R!oj&!#;7$$"2)***\(=JN[6!#<$"2lMEb"G!G&\!#<7$$"2mm;z/3uC"!#<$"19%RnI#)[O%!#;7$$"1LLe*ot*\8!#;$"2ci%o5aYyQ!#<7$$"2)***\7LRDX"!#<$"1&4/(>q*z_$!#;7$$"2mm;z4wb]"!#<$"0n=Vl19S$!#:7$$"1LLekGhe:!#;$"2$R*)3-+y6L!#<7$$"2jm;zCJ^e"!#<$"2Fbus.21G$!#<7$$"2)***\7j\;h"!#<$"1&=uOKh$eK!#;7$$"2LL$e9!o"Q;!#<$"2MOc+z!*[C$!#<7$$"2lm;zR'ok;!#<$"2YO]FVB+C$!#<7$$"1L$ekt>6p"!#;$"2l?\.EWNC$!#<7$$"2)*****\2`vr"!#<$"2&=[&et=_D$!#<7$$"2mmTNT')Ru"!#<$"2W#RPBj#[F$!#<7$$"1LL3_(>/x"!#;$"1(\`2fK@I$!#;7$$"2kmm"HkGB=!#<$"21`=t!=%)yL!#<7$$"2)***\i5`h(=!#<$"1H3&Q$=C$[$!#;7$$"2mm"HdG"\)>!#<$"2'orz2&>ax$!#<7$$"2NLL$3En$4#!#<$"2BCjvQ!QaT!#<7$$"-Dc#o%*=#!#7$"29XSM2()Ga%!#<7$$"2nmmT!RE&G#!#<$"2$e.>1:Hn\!#<7$$"2LL$e9r5$R#!#<$"1ULZ?FQqa!#;7$$"+D.&4]#!#5$"0;FI)Q6#)f!#:7$$"*NO#4E!"*$"1=O?X-V(['!#;7$$"+vB_<F!#5$"1\4X/G:pp!#;7$$"2(*****\-w=#G!#<$"1#R9PUF#*R(!#;7$$"+v'Hi#H!#5$"1eBPLag'y(!#;7$$"2mm;z*ev:J!#<$"/`UMRRg$)!#97$$".DJSQ%GK!#8$"1*>$Q>Y#[h)!#;7$$"1LLL347TL!#;$"1e([UJaH!))!#;7$$"2MLL3xxlV$!#<$"1@$eZ:;;"*)!#;7$$"1LLLLY.KN!#;$"1E$oKC<h(*)!#;7$$"/DJXTb(e$!#9$"16EwJxd%**)!#;7$$"2nm"HdO2VO!#<$"1/"[Uvp****)!#;7$$"1L3FpJf)p$!#;$"1mSc)\fJ**)!#;7$$"-D"o7Tv$!#7$"1M#4xM)3v*)!#;7$$"2jm"HK5S_Q!#<$"1=C(f%Gh=*)!#;7$$"1LLL$Q*o]R!#;$"1%H%Q&ozf$))!#;7$$"-D"=lj;%!#7$"1@qa`t'Rf)!#;7$$"-vV&R<P%!#7$"1o&Q"*QpgL)!#;7$$"2NLLe9Ege%!#<$"1u*f(HT4(4)!#;7$$"2OL3F9<Wo%!#<$"1Mfs3:K6!)!#;7$$"2LL$eR"3Gy%!#<$"1n^J$\^e%z!#;7$$".v=7O*))[!#8$"1&4X*fD+,z!#;7$$"2mmmT5k]*\!#<$"0`O(3g*[)y!#:7$$"1m;/^7I0^!#;$"1bKHUuP**y!#;7$$"1mm"zRQb@&!#;$"1,<Wj6%\%z!#;7$$"1LLLe,]6`!#;$"1)o8d$)z"3!)!#;7$$"-v=>Y2a!#7$"17E2hb&34)!#;7$$"1mm;zXu9c!#;$"1m:"*3#G&>$)!#;7$$"*&y))Ge!"*$"1fBmB'y!)e)!#;7$$"1****\i_QQg!#;$"1HsNW,XD))!#;7$$"1**\(=-N(Rh!#;$"1mB'H\#)G"*)!#;7$$"1***\7y%3Ti!#;$"18u#HUGI(*)!#;7$$"1*\7`f]tH'!#;$"1X9W+(3A**)!#;7$$"1**\P4kh`j!#;$"1n))Q7o*)***)!#;7$$"/vVBA))4k!#9$"1_\#H:3^**)!#;7$$"1****\P![hY'!#;$"1#Q*QWn$p(*)!#;7$$"1mmT5FEnl!#;$"1Y%)*\o:"3*)!#;7$$"1LLL$Qx$om!#;$"1@A2B,j*y)!#;7$$"1mm;z)Qjx'!#;$"1PtdQmQ0')!#;7$$"+v.I%)o!#5$"0foBM]-O)!#:7$$"1mm"zpe*zq!#;$"1*3i%yr&\w(!#;7$$"1L$e9"="p=(!#;$"1uabfaakt!#;7$$"+D\'QH(!#5$"1)*p-V:+?p!#;7$$"1n;zp%*\%R(!#;$"1[W'[35.Z'!#;7$$"1KLe9S8&\(!#;$"1-^#eGK1+'!#;7$$"1mmT5hK+w!#;$"1[8Ly%y9]&!#;7$$"1***\i?=bq(!#;$"1-psMW\4]!#;7$$"1m;H2FO3y!#;$"2$G>-sS:_X!#<7$$"1LLL3s?6z!#;$"19m"[K=e8%!#;7$$"1m;zpe()=!)!#;$"2%)z%ym$eOw$!#<7$$"-DJXaE")!#7$"1M*QO+zsZ$!#;7$$"1mT5!R$Ry")!#;$"2/FJ3!p'fP$!#<7$$"1L$e*[ACI#)!#;$"1K$o'*pc8I$!#;7$$"1;aQym;c#)!#;$"2CXHiO!puK!#<7$$"1*\7y5"4#G)!#;$"2:f/$30VbK!#<7$$"1%eRs`:!3$)!#;$"2lVx0L)zVK!#<7$$"1nmmm*RRL)!#;$"2Z)y5)>-+C$!#<7$$"1mT5S9Xg$)!#;$"2V:&H'oEWC$!#<7$$"1n;a8H'pQ)!#;$"2aD$[-/WdK!#<7$$"1n"zpQuMT)!#;$"1$e@E@;#zK!#;7$$"1nmTge)*R%)!#;$"2k]+J:2*4L!#<7$$"1n;H2)3I\)!#;$"1K_%*)zP&)R$!#;7$$"1mm;a<.Y&)!#;$"22q9+0)4CN!#<7$$".vV`*>^')!#8$"2c)=e4UF$)Q!#<7$$"1LLe9tOc()!#;$"2.!R12+E&Q%!#<7$$"1m;H#e0I&))!#;$"1EjYKBfh\!#;7$$"*&Qk\*)!"*$"1@G4&G)3Hc!#;7$$"1nmT5ASg!*!#;$"16'pHya'ok!#;7$$"1LL$3dg6<*!#;$"1HCY6tCFt!#;7$$"-voTAq#*!#7$"1')HvDmwS!)!#;7$$"1mmmmxGp$*!#;$"1P&zr%3j=')!#;7$$"/DJ&**)4A%*!#9$"13qbviqO))!#;7$$"1L$eRA5\Z*!#;$"1K=-$)y4p*)!#;7$$"0D"GQeJ,&*!#:$"1\>O5=(o**)!#;7$$"1mTg_9sF&*!#;$"1`>?!4-a**)!#;7$$"1$3Fp1FTb*!#;$"1H')*Q\(yh*)!#;7$$"-D"oK0e*!#7$"1"*>HZv(H*))!#;7$$".Dcwz5j*!#8$"1-/aZ>H^')!#;7$$"*&oi"o*!"*$"1i+'RpOYC)!#;7$$".vV$R<K(*!#8$"1U*GO"[hYw!#;7$$"-v=5s#y*!#7$"10N*4'RUGo!#;7$$"1^iS"*3))4)*!#;$"1V*4Y5=qG'!#;7$$"/D1k2/P)*!#9$"1nx%>ahym&!#;7$$"0v=nj+U')*!#:$"1"*>0-Bal\!#;7$$".v$40O"*)*!#8$"2:^$eQ+TuT!#<7$$"1DJqX/%\!**!#;$"2(pxLojqVP!#<7$$"1^7.#Q?&=**!#;$"2t.z\%*o&)G$!#<7$$"1w$f$=.5K**!#;$"1(z5UD@#3G!#;7$$"/voa-oX**!#9$"1`tjH0(=I#!#;7$$"1Cc,">g#f**!#;$"2jB:#>vqo<!#<7$$"0vVt7SG(**!#:$"2t&=X\i!z?"!#<7$$"1v=nj+U')**!#;$"1Z"zL(yB'='!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%%VIEWG6$;$""!!""$"#5!"";$""!!""$"#"*!"#-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$I%!""-%)BOUNDS_YG6#$"#!)!""-%-BOUNDS_WIDTHG6#$"%!\$!""-%.BOUNDS_HEIGHTG6#$"%+N!""-%)CHILDRENG6"

Doesn't seem like it's going to work. Perhaps we need to do the next most logical thing, the second iterate of g, perhaps appropriate for bifurcations. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkiZ0dGJTYjLUYqRiNGJUYlRiU=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnZmFjdG9yRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiQtRiw2JVEkcHQ0RidGL0YyLUY2NiQtRiM2Iy1GLDYlUSJ4RidGL0YyL0YzUSdub3JtYWxGJ0ZELUkjbW9HRiQ2LVEiO0YnRkQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGTC8lKnN5bW1ldHJpY0dGTC8lKGxhcmdlb3BHRkwvJS5tb3ZhYmxlbGltaXRzR0ZMLyUnYWNjZW50R0ZMLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMjc3Nzc3OGVtRic=

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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

6,-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2mmmmT:(z@!#=7$$"2NLLe9ui2%!#=$"2NLLe9ui2%!#=7$$"1nmm"z_"4i!#<$"1nmm"z_"4i!#<7$$"1mmmT&phN)!#<$"1mmmT&phN)!#<7$$"2KL$e*=)H\5!#<$"2KL$e*=)H\5!#<7$$"2mm;z/3uC"!#<$"2mm;z/3uC"!#<7$$"2)***\7LRDX"!#<$"2)***\7LRDX"!#<7$$"2lm;zR'ok;!#<$"2lm;zR'ok;!#<7$$"2)***\i5`h(=!#<$"2)***\i5`h(=!#<7$$"2NLL$3En$4#!#<$"2NLL$3En$4#!#<7$$"2nmmT!RE&G#!#<$"2nmmT!RE&G#!#<7$$"+D.&4]#!#5$"+D.&4]#!#57$$"+vB_<F!#5$"+vB_<F!#57$$"+v'Hi#H!#5$"+v'Hi#H!#57$$"2mm;z*ev:J!#<$"2mm;z*ev:J!#<7$$"1LLL347TL!#;$"1LLL347TL!#;7$$"1LLLLY.KN!#;$"1LLLLY.KN!#;7$$"-D"o7Tv$!#7$"-D"o7Tv$!#77$$"1LLL$Q*o]R!#;$"1LLL$Q*o]R!#;7$$"-D"=lj;%!#7$"-D"=lj;%!#77$$"-vV&R<P%!#7$"-vV&R<P%!#77$$"2NLLe9Ege%!#<$"2NLLe9Ege%!#<7$$"2LL$eR"3Gy%!#<$"2LL$eR"3Gy%!#<7$$"2mmmT5k]*\!#<$"2mmmT5k]*\!#<7$$"1mm"zRQb@&!#;$"1mm"zRQb@&!#;7$$"-v=>Y2a!#7$"-v=>Y2a!#77$$"1mm;zXu9c!#;$"1mm;zXu9c!#;7$$"*&y))Ge!"*$"*&y))Ge!"*7$$"1****\i_QQg!#;$"1****\i_QQg!#;7$$"1***\7y%3Ti!#;$"1***\7y%3Ti!#;7$$"1****\P![hY'!#;$"1****\P![hY'!#;7$$"1LLL$Qx$om!#;$"1LLL$Qx$om!#;7$$"+v.I%)o!#5$"+v.I%)o!#57$$"1mm"zpe*zq!#;$"1mm"zpe*zq!#;7$$"+D\'QH(!#5$"+D\'QH(!#57$$"1KLe9S8&\(!#;$"1KLe9S8&\(!#;7$$"1***\i?=bq(!#;$"1***\i?=bq(!#;7$$"1LLL3s?6z!#;$"1LLL3s?6z!#;7$$"-DJXaE")!#7$"-DJXaE")!#77$$"1nmmm*RRL)!#;$"1nmmm*RRL)!#;7$$"1mm;a<.Y&)!#;$"1mm;a<.Y&)!#;7$$"1LLe9tOc()!#;$"1LLe9tOc()!#;7$$"*&Qk\*)!"*$"*&Qk\*)!"*7$$"1LL$3dg6<*!#;$"1LL$3dg6<*!#;7$$"1mmmmxGp$*!#;$"1mmmmxGp$*!#;7$$"-D"oK0e*!#7$"-D"oK0e*!#77$$"-v=5s#y*!#7$"-v=5s#y*!#77$$"#5!""$"#5!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1WWGlP$fn(!#<7$$"2NLLe9ui2%!#=$"2(Qo@`5k29!#<7$$"1nmm"z_"4i!#<$"1d]zA@]'4#!#;7$$"1mmmT&phN)!#<$"2/KF^)*[ov#!#<7$$"2KL$e*=)H\5!#<$"2(p8'Q(Q5"Q$!#<7$$"2mm;z/3uC"!#<$"2DQ<3J*\IR!#<7$$"2)***\7LRDX"!#<$"2'[=K4#)epW!#<7$$"2lm;zR'ok;!#<$"1WGFVfC&*\!#;7$$"2)***\i5`h(=!#<$"00(Q5!pp[&!#:7$$"2NLL$3En$4#!#<$"0H"G$*R<ff!#:7$$"2nmmT!RE&G#!#<$"1`Eza[(oM'!#;7$$"+D.&4]#!#5$"1hw()f-r^n!#;7$$"+vB_<F!#5$"0x%*3_1X7(!#:7$$"+v'Hi#H!#5$"1"y$4!f6=X(!#;7$$"2mm;z*ev:J!#<$"1-^&*)pk=s(!#;7$$"1LLL347TL!#;$"1CKKdKK4!)!#;7$$"1LLLLY.KN!#;$"1">;c'zAC#)!#;7$$"-D"o7Tv$!#7$"1e?.C`>T%)!#;7$$"1LLL$Q*o]R!#;$"1C-r-5i.')!#;7$$"-D"=lj;%!#7$"1c$Gg2>)\()!#;7$$"-vV&R<P%!#7$"1;0onR!z&))!#;7$$"2NLLe9Ege%!#<$"1/RIL_IQ*)!#;7$$"2LL$eR"3Gy%!#<$"0vw/(z,$)*)!#:7$$"2mmmT5k]*\!#<$"1OcHH7*****)!#;7$$"1mm"zRQb@&!#;$"1m%[;bvK)*)!#;7$$"-v=>Y2a!#7$"1&o;D#4BS*)!#;7$$"1mm;zXu9c!#;$"1r'eo2_R'))!#;7$$"*&y))Ge!"*$"1bScv,m_()!#;7$$"1****\i_QQg!#;$"16Uyw@$=h)!#;7$$"1***\7y%3Ti!#;$"1s)pO3&\X%)!#;7$$"1****\P![hY'!#;$"1l&obdZhA)!#;7$$"1LLL$Qx$om!#;$"1c9W'3Yz*z!#;7$$"+v.I%)o!#5$"0&*Q[N)y@x!#:7$$"1mm"zpe*zq!#;$"0*eQ`ybUu!#:7$$"+D\'QH(!#5$"14x5Mhu0r!#;7$$"1KLe9S8&\(!#;$"1Npt\-ven!#;7$$"1***\i?=bq(!#;$"1BR$[kh[O'!#;7$$"1LLL3s?6z!#;$"1'H`C8a*[f!#;7$$"-DJXaE")!#7$"0')ze%*)*3[&!#:7$$"1nmmm*RRL)!#;$"1f&=v%Ra)*\!#;7$$"1mm;a<.Y&)!#;$"1.!Ru;PKZ%!#;7$$"1LLe9tOc()!#;$"2'*za_l$H?R!#<7$$"*&Qk\*)!"*$"1&eO\%G6%Q$!#;7$$"1LL$3dg6<*!#;$"2E7Ps,6lt#!#<7$$"1mmmmxGp$*!#;$"2c_S$)yct7#!#<7$$"-D"oK0e*!#7$"2hCg"G$RnW"!#<7$$"-v=5s#y*!#7$"1d]]kn3_w!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6$7dp7$$""!!""$""!!""7$$"1mmmT&)G\a!#=$"1ke)3dbn)o!#<7$$"2LLL$3x&)*3"!#=$"1$\iOnXGM"!#;7$$",Dc'yM;!#7$"2=XUu\,M'>!#<7$$"2mmmmT:(z@!#=$"1yQ\-VA^D!#;7$$"2LLe*)4bQl#!#=$"2'*==vOLn.$!#<7$$"-D"y%*z7$!#8$"1$>zF?*o)\$!#;7$$"1n;ajW8-O!#<$"-"[2aw$R!#77$$"2NLLe9ui2%!#=$"16")3"f%=aV!#;7$$"-voMrU^!#8$"1O(*Q%Q9>@&!#;7$$"1nmm"z_"4i!#<$"/RuF?4lf!#97$$"1nmmm6m#G(!#<$"12]oy4wBm!#;7$$"1mmmT&phN)!#<$"0C6)o%y&)=(!#:7$$"-v=ddC%*!#8$"1(ei%*f?Lm(!#;7$$"2KL$e*=)H\5!#<$"1-%)z>J]c!)!#;7$$"2mm;z/3uC"!#<$"1[;Iz0A)e)!#;7$$"1LLe*ot*\8!#;$"1ct()*G,=x)!#;7$$"2)***\7LRDX"!#<$"1b9j*z=()*))!#;7$$"2mm;z4wb]"!#<$"1k;n2ybV*)!#;7$$"1LLekGhe:!#;$"1z'RAD)*\(*)!#;7$$"2)***\7j\;h"!#<$"1efY^%>O**)!#;7$$"2lm;zR'ok;!#<$"02?O'=*****)!#:7$$"2)*****\2`vr"!#<$"1#3U;A7Z**)!#;7$$"1LL3_(>/x"!#;$"1'4d"*on$y*)!#;7$$"2kmm"HkGB=!#<$"1_&\6(p\^*)!#;7$$"2)***\i5`h(=!#<$"1c@&e-IY"*)!#;7$$"2mm"HdG"\)>!#<$"1:Stvob4))!#;7$$"2NLL$3En$4#!#<$"1<1A!p%zo')!#;7$$"2nmmT!RE&G#!#<$"1:)*=DT$pM)!#;7$$"+D.&4]#!#5$"1j"e&>SM&*y!#;7$$"+vB_<F!#5$"1;KON*H^P(!#;7$$"+v'Hi#H!#5$"0X0O<.f$o!#:7$$"2mm;z*ev:J!#<$"1Q&4=#H#HL'!#;7$$"1LLL347TL!#;$"1ug&=ZI)Rd!#;7$$"1LLLLY.KN!#;$"1`eE\ucd_!#;7$$"-D"o7Tv$!#7$"1j&pq!H%pt%!#;7$$"1LLL$Q*o]R!#;$"1ssxS'4]K%!#;7$$"-D"=lj;%!#7$"1'QRH[))z$R!#;7$$"-vV&R<P%!#7$"2cx:9rn>k$!#<7$$"2NLLe9Ege%!#<$"1">f,o5jT$!#;7$$"2OL3F9<Wo%!#<$"1v!G'zZzUL!#;7$$"2LL$eR"3Gy%!#<$"1Q$p[U/))G$!#;7$$".v=7O*))[!#8$"1#)e!3-#y_K!#;7$$"2mmmT5k]*\!#<$"2W(3gf_-SK!#<7$$"1m;/^7I0^!#;$"2vi\%o1\^K!#<7$$"1mm"zRQb@&!#;$"1e-n;d1)G$!#;7$$"1LLLe,]6`!#;$"1)yA*fQ;SL!#;7$$"-v=>Y2a!#7$"1#f2)**)[3T$!#;7$$"1mm;zXu9c!#;$"1Vi=lZ:DO!#;7$$"*&y))Ge!"*$"1*zC%y\JIR!#;7$$"1****\i_QQg!#;$"2CkGwf!o.V!#<7$$"1***\7y%3Ti!#;$"2$GkA1HGEZ!#<7$$"1****\P![hY'!#;$"1/^Vb)4JD&!#;7$$"1LLL$Qx$om!#;$"1GXgM\Vkd!#;7$$"+v.I%)o!#5$"0rEX`sIL'!#:7$$"1mm"zpe*zq!#;$"1[1$y+3A&o!#;7$$"+D\'QH(!#5$"1e&G(e**p.u!#;7$$"1KLe9S8&\(!#;$"1)4e77Zk)y!#;7$$"1***\i?=bq(!#;$"1Ygco\PH$)!#;7$$"1LLL3s?6z!#;$"1M*>'z\"en)!#;7$$"1m;zpe()=!)!#;$"08$4WB%Q"))!#:7$$"-DJXaE")!#7$"1*e'QL]u;*)!#;7$$"1mT5!R$Ry")!#;$"1awGEt]_*)!#;7$$"1L$e*[ACI#)!#;$"1huX^&Q'y*)!#;7$$"1*\7y5"4#G)!#;$"1i)G:fQY**)!#;7$$"1nmmm*RRL)!#;$"1B!onB******)!#;7$$"1n;a8H'pQ)!#;$"1D(4QrRR**)!#;7$$"1nmTge)*R%)!#;$"13TO$e_c(*)!#;7$$"1n;H2)3I\)!#;$"1fosl!oX%*)!#;7$$"1mm;a<.Y&)!#;$"1LOcIv5+*)!#;7$$".vV`*>^')!#8$"1/G#>8I+x)!#;7$$"1LLe9tOc()!#;$"10@G:VK!e)!#;7$$"1m;H#e0I&))!#;$"1\M8'H)H\$)!#;7$$"*&Qk\*)!"*$"1$QcF82+1)!#;7$$"1nmT5ASg!*!#;$"1;M--.q^w!#;7$$"1LL$3dg6<*!#;$"1*)z'\M#ebr!#;7$$"-voTAq#*!#7$"1&=(=.5MKm!#;7$$"1mmmmxGp$*!#;$"1FCE_:DHg!#;7$$"1L$eRA5\Z*!#;$"0Ds&*H$)HH&!#:7$$"-D"oK0e*!#7$"1&[k_*=waW!#;7$$".Dcwz5j*!#8$"2t3G-@3e,%!#<7$$"*&oi"o*!"*$"2$zZ$pns9b$!#<7$$".vV$R<K(*!#8$"1t&pl#>3hI!#;7$$"-v=5s#y*!#7$"1sjb!GbRa#!#;7$$"/D1k2/P)*!#9$"2Oy'3NBkd>!#<7$$".v$40O"*)*!#8$"1'R*4]dzQ8!#;7$$"/voa-oX**!#9$"1D*GRZDa'o!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%'CURVESG6$7is7$$""!!""$""!!""7$$"2mm;a8ABO"!#>$"1A"e$>B[0i!#<7$$"1LL$3FWYs#!#=$"2FzV:dq:@"!#<7$$"-D1k'p3%!#9$"2eee$>`$Rx"!#<7$$"1mmmT&)G\a!#=$"2:ljsN$\3B!#<7$$"1LL3x1h6o!#=$"1$)\n#Ryg"G!#;7$$",D"G$R<)!#8$"0U,/?2vH$!#:7$$"1mm"z%\DO&*!#=$"2m>&>i)zNv$!#<7$$"2LLL$3x&)*3"!#=$"13j+/+3&=%!#;7$$"2mm;a8ABO"!#=$"0jI+O;u(\!#:7$$",Dc'yM;!#7$"1#\NB.l/o&!#;7$$"2LL$e*)4D2>!#=$"1/RL&HE**H'!#;7$$"2mmmmT:(z@!#=$"1F#*)*H"f7%o!#;7$$"2LLe*)4bQl#!#=$"1s?s'G5Ch(!#;7$$"-D"y%*z7$!#8$"1iLX?Pe)=)!#;7$$"1n;ajW8-O!#<$"1#f$o3;r$f)!#;7$$"2NLLe9ui2%!#=$"0JSZ3_)\))!#:7$$"20]il(R)GM%!#=$"0hwB[=h$*)!#:7$$"1n;H2Q\4Y!#<$"1(=&)ok"4&)*)!#;7$$"1L3-QO5w[!#<$"1/K!4jz****)!#;7$$"-voMrU^!#8$"0%zsDK$Q)*)!#:7$$"2ML3-8Lfn&!#=$"1pv:#G%))p))!#;7$$"1nmm"z_"4i!#<$"0mug0&pk')!#:7$$"1nmmm6m#G(!#<$"1mfF-T#30)!#;7$$"1mmmT&phN)!#<$"10"3HuWcF(!#;7$$"-v=ddC%*!#8$"1o@T=/UYk!#;7$$"2KL$e*=)H\5!#<$"1\&=V#R!oj&!#;7$$"2)***\(=JN[6!#<$"2lMEb"G!G&\!#<7$$"2mm;z/3uC"!#<$"19%RnI#)[O%!#;7$$"1LLe*ot*\8!#;$"2ci%o5aYyQ!#<7$$"2)***\7LRDX"!#<$"1&4/(>q*z_$!#;7$$"2mm;z4wb]"!#<$"0n=Vl19S$!#:7$$"1LLekGhe:!#;$"2$R*)3-+y6L!#<7$$"2jm;zCJ^e"!#<$"2Fbus.21G$!#<7$$"2)***\7j\;h"!#<$"1&=uOKh$eK!#;7$$"2LL$e9!o"Q;!#<$"2MOc+z!*[C$!#<7$$"2lm;zR'ok;!#<$"2YO]FVB+C$!#<7$$"1L$ekt>6p"!#;$"2l?\.EWNC$!#<7$$"2)*****\2`vr"!#<$"2&=[&et=_D$!#<7$$"2mmTNT')Ru"!#<$"2W#RPBj#[F$!#<7$$"1LL3_(>/x"!#;$"1(\`2fK@I$!#;7$$"2kmm"HkGB=!#<$"21`=t!=%)yL!#<7$$"2)***\i5`h(=!#<$"1H3&Q$=C$[$!#;7$$"2mm"HdG"\)>!#<$"2'orz2&>ax$!#<7$$"2NLL$3En$4#!#<$"2BCjvQ!QaT!#<7$$"-Dc#o%*=#!#7$"29XSM2()Ga%!#<7$$"2nmmT!RE&G#!#<$"2$e.>1:Hn\!#<7$$"2LL$e9r5$R#!#<$"1ULZ?FQqa!#;7$$"+D.&4]#!#5$"0;FI)Q6#)f!#:7$$"*NO#4E!"*$"1=O?X-V(['!#;7$$"+vB_<F!#5$"1\4X/G:pp!#;7$$"2(*****\-w=#G!#<$"1#R9PUF#*R(!#;7$$"+v'Hi#H!#5$"1eBPLag'y(!#;7$$"2mm;z*ev:J!#<$"/`UMRRg$)!#97$$".DJSQ%GK!#8$"1*>$Q>Y#[h)!#;7$$"1LLL347TL!#;$"1e([UJaH!))!#;7$$"2MLL3xxlV$!#<$"1@$eZ:;;"*)!#;7$$"1LLLLY.KN!#;$"1E$oKC<h(*)!#;7$$"/DJXTb(e$!#9$"16EwJxd%**)!#;7$$"2nm"HdO2VO!#<$"1/"[Uvp****)!#;7$$"1L3FpJf)p$!#;$"1mSc)\fJ**)!#;7$$"-D"o7Tv$!#7$"1M#4xM)3v*)!#;7$$"2jm"HK5S_Q!#<$"1=C(f%Gh=*)!#;7$$"1LLL$Q*o]R!#;$"1%H%Q&ozf$))!#;7$$"-D"=lj;%!#7$"1@qa`t'Rf)!#;7$$"-vV&R<P%!#7$"1o&Q"*QpgL)!#;7$$"2NLLe9Ege%!#<$"1u*f(HT4(4)!#;7$$"2OL3F9<Wo%!#<$"1Mfs3:K6!)!#;7$$"2LL$eR"3Gy%!#<$"1n^J$\^e%z!#;7$$".v=7O*))[!#8$"1&4X*fD+,z!#;7$$"2mmmT5k]*\!#<$"0`O(3g*[)y!#:7$$"1m;/^7I0^!#;$"1bKHUuP**y!#;7$$"1mm"zRQb@&!#;$"1,<Wj6%\%z!#;7$$"1LLLe,]6`!#;$"1)o8d$)z"3!)!#;7$$"-v=>Y2a!#7$"17E2hb&34)!#;7$$"1mm;zXu9c!#;$"1m:"*3#G&>$)!#;7$$"*&y))Ge!"*$"1fBmB'y!)e)!#;7$$"1****\i_QQg!#;$"1HsNW,XD))!#;7$$"1**\(=-N(Rh!#;$"1mB'H\#)G"*)!#;7$$"1***\7y%3Ti!#;$"18u#HUGI(*)!#;7$$"1*\7`f]tH'!#;$"1X9W+(3A**)!#;7$$"1**\P4kh`j!#;$"1n))Q7o*)***)!#;7$$"/vVBA))4k!#9$"1_\#H:3^**)!#;7$$"1****\P![hY'!#;$"1#Q*QWn$p(*)!#;7$$"1mmT5FEnl!#;$"1Y%)*\o:"3*)!#;7$$"1LLL$Qx$om!#;$"1@A2B,j*y)!#;7$$"1mm;z)Qjx'!#;$"1PtdQmQ0')!#;7$$"+v.I%)o!#5$"0foBM]-O)!#:7$$"1mm"zpe*zq!#;$"1*3i%yr&\w(!#;7$$"1L$e9"="p=(!#;$"1uabfaakt!#;7$$"+D\'QH(!#5$"1)*p-V:+?p!#;7$$"1n;zp%*\%R(!#;$"1[W'[35.Z'!#;7$$"1KLe9S8&\(!#;$"1-^#eGK1+'!#;7$$"1mmT5hK+w!#;$"1[8Ly%y9]&!#;7$$"1***\i?=bq(!#;$"1-psMW\4]!#;7$$"1m;H2FO3y!#;$"2$G>-sS:_X!#<7$$"1LLL3s?6z!#;$"19m"[K=e8%!#;7$$"1m;zpe()=!)!#;$"2%)z%ym$eOw$!#<7$$"-DJXaE")!#7$"1M*QO+zsZ$!#;7$$"1mT5!R$Ry")!#;$"2/FJ3!p'fP$!#<7$$"1L$e*[ACI#)!#;$"1K$o'*pc8I$!#;7$$"1;aQym;c#)!#;$"2CXHiO!puK!#<7$$"1*\7y5"4#G)!#;$"2:f/$30VbK!#<7$$"1%eRs`:!3$)!#;$"2lVx0L)zVK!#<7$$"1nmmm*RRL)!#;$"2Z)y5)>-+C$!#<7$$"1mT5S9Xg$)!#;$"2V:&H'oEWC$!#<7$$"1n;a8H'pQ)!#;$"2aD$[-/WdK!#<7$$"1n"zpQuMT)!#;$"1$e@E@;#zK!#;7$$"1nmTge)*R%)!#;$"2k]+J:2*4L!#<7$$"1n;H2)3I\)!#;$"1K_%*)zP&)R$!#;7$$"1mm;a<.Y&)!#;$"22q9+0)4CN!#<7$$".vV`*>^')!#8$"2c)=e4UF$)Q!#<7$$"1LLe9tOc()!#;$"2.!R12+E&Q%!#<7$$"1m;H#e0I&))!#;$"1EjYKBfh\!#;7$$"*&Qk\*)!"*$"1@G4&G)3Hc!#;7$$"1nmT5ASg!*!#;$"16'pHya'ok!#;7$$"1LL$3dg6<*!#;$"1HCY6tCFt!#;7$$"-voTAq#*!#7$"1')HvDmwS!)!#;7$$"1mmmmxGp$*!#;$"1P&zr%3j=')!#;7$$"/DJ&**)4A%*!#9$"13qbviqO))!#;7$$"1L$eRA5\Z*!#;$"1K=-$)y4p*)!#;7$$"0D"GQeJ,&*!#:$"1\>O5=(o**)!#;7$$"1mTg_9sF&*!#;$"1`>?!4-a**)!#;7$$"1$3Fp1FTb*!#;$"1H')*Q\(yh*)!#;7$$"-D"oK0e*!#7$"1"*>HZv(H*))!#;7$$".Dcwz5j*!#8$"1-/aZ>H^')!#;7$$"*&oi"o*!"*$"1i+'RpOYC)!#;7$$".vV$R<K(*!#8$"1U*GO"[hYw!#;7$$"-v=5s#y*!#7$"10N*4'RUGo!#;7$$"1^iS"*3))4)*!#;$"1V*4Y5=qG'!#;7$$"/D1k2/P)*!#9$"1nx%>ahym&!#;7$$"0v=nj+U')*!#:$"1"*>0-Bal\!#;7$$".v$40O"*)*!#8$"2:^$eQ+TuT!#<7$$"1DJqX/%\!**!#;$"2(pxLojqVP!#<7$$"1^7.#Q?&=**!#;$"2t.z\%*o&)G$!#<7$$"1w$f$=.5K**!#;$"1(z5UD@#3G!#;7$$"/voa-oX**!#9$"1`tjH0(=I#!#;7$$"1Cc,">g#f**!#;$"2jB:#>vqo<!#<7$$"0vVt7SG(**!#:$"2t&=X\i!z?"!#<7$$"1v=nj+U')**!#;$"1Z"zL(yB'='!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6$7ax7$$""!!""$""!!""7$$"1LL3x1h6o!#>$"2mWF>Fs\4"!#<7$$"2mm;a8ABO"!#>$"2`!=.'zW`4#!#<7$$".DJ?$[V?!#:$"2L0?^M,k+$!#<7$$"1LL$3FWYs#!#=$"16&=w))3K$Q!#;7$$"2lmT&Q`!eS$!#>$"2'3k&3bC1e%!#<7$$"-D1k'p3%!#9$"1%[uMS-LD&!#;7$$"1L$eRZF"oZ!#=$"1QY#31+d&e!#;7$$"1mmmT&)G\a!#=$"/#er6&3#R'!#97$$"1LL3x1h6o!#=$"167q3^(HG(!#;7$$",D"G$R<)!#8$"1)RLidYl&z!#;7$$"1mm"z%\DO&*!#=$"1xoUisrS%)!#;7$$"2LLL$3x&)*3"!#=$"1sm/Wf#4w)!#;7$$".v=#**3E7!#9$"1Z3&oT+.%*)!#;7$$"2mm;a8ABO"!#=$"1lS^#R;)***)!#;7$$"2LLe*[Vb)\"!#=$"1O[94xWe*)!#;7$$",Dc'yM;!#7$"1;nJU#3L$))!#;7$$"2LL$e*)4D2>!#=$"0"=h&)*o;R)!#:7$$"2mmmmT:(z@!#=$"1uK%QL:&zx!#;7$$"/D"yD&y;C!#:$"1/AYHd*H<(!#;7$$"2LLe*)4bQl#!#=$"1L$yx\7Ja'!#;7$$"2n;/,%\#4*G!#=$"1iO.8X\Bf!#;7$$"-D"y%*z7$!#8$"1Gvv)=c)R`!#;7$$"1LeRAY1lL!#<$"2`/m]nl6"[!#<7$$"1n;ajW8-O!#<$"2Zg+XF&o]V!#<7$$"20](o/V?RQ!#=$"2tN!Rs]*o'R!#<7$$"2NLLe9ui2%!#=$"1\MA8+JkO!#;7$$"20]il(R)GM%!#=$"2(p&p`m4DU$!#<7$$"1n;H2Q\4Y!#<$"1FLtVg&GG$!#;7$$"2'\ilA()zUZ!#=$"2B+'*R7#y\K!#<7$$"1L3-QO5w[!#<$"2xS\Gme+C$!#<7$$"2mT&Q`&3%4]!#=$".&=!*>m_K!#87$$"-voMrU^!#8$"1.5l=iY'G$!#;7$$"2ML3-8Lfn&!#=$"1GbPJ%Q'3O!#;7$$"1nmm"z_"4i!#<$"2')\`Dl._;%!#<7$$"1mm;zp!fu'!#<$"21eC#[Z)Q([!#<7$$"1nmmm6m#G(!#<$"1O*4p-!H\c!#;7$$"1nm;a`T>y!#<$"1<fe<6Y@k!#;7$$"1mmmT&phN)!#<$"1&*oYh(=d8(!#;7$$"1L$3-js.*))!#<$"1E#*y]vq]x!#;7$$"-v=ddC%*!#8$"1L@NqC$oC)!#;7$$"1m;H2)y(e**!#<$"1:w;%e.Uh)!#;7$$"2KL$e*=)H\5!#<$"/,JuI,a))!#97$$".v=#>1u5!#8$"1C8A)y#RC*)!#;7$$"2mmmTlD))4"!#<$"04jW2t3(*)!#:7$$"2KLekQ*eB6!#<$"1NTp(es^**)!#;7$$"2)***\(=JN[6!#<$"1$**zK2)>***)!#;7$$"2lmT5&o6t6!#<$"1``aL%)*\)*)!#;7$$"2KLLLe!)y>"!#<$"1XVmq:sa*)!#;7$$".DcJWEA"!#8$"12._`Ud5*)!#;7$$"2mm;z/3uC"!#<$"1ZYl&=&ya))!#;7$$"1LLe*ot*\8!#;$"0"*)Qfw<Z&)!#:7$$"2)***\7LRDX"!#<$"1"**f8ga*>#)!#;7$$"2mm;z4wb]"!#<$"18;X`(>+3)!#;7$$"1LLekGhe:!#;$"1X^"fwoR(z!#;7$$"2jm;zCJ^e"!#<$"1vGIAwsNz!#;7$$"2)***\7j\;h"!#<$"1%Q0'*45!3z!#;7$$"2LL$e9!o"Q;!#<$"1p:-)*H0"*y!#;7$$"2lm;zR'ok;!#<$"1)e$y$p$*[)y!#;7$$"1L$ekt>6p"!#;$"1-KZk2N*)y!#;7$$"2)*****\2`vr"!#<$"1eO]-e1/z!#;7$$"2mmTNT')Ru"!#<$"1H:x#Gf&Gz!#;7$$"1LL3_(>/x"!#;$"1%oAQl3A'z!#;7$$"2kmm"HkGB=!#<$"0j[6gkQ0)!#:7$$"2)***\i5`h(=!#<$"1H6bz+!=<)!#;7$$"2NLL$3En$4#!#<$"1JCe*)QdU()!#;7$$"2om"HK/dT@!#<$"1c$3b3=Z%))!#;7$$"-Dc#o%*=#!#7$"1zR0)>xZ#*)!#;7$$"2n;H#orT8A!#<$"1e`9aT$\&*)!#;7$$"2ML3-3mtB#!#<$"1\rM_*px(*)!#;7$$"/v=#*\JhA!#9$"1yYMGM!G**)!#;7$$"2nmmT!RE&G#!#<$"1sdfb[h***)!#;7$$"2N$3x1ZA7B!#<$"1s1)yh-q**)!#;7$$".v$4b=RB!#8$"1#y/9P3J)*)!#;7$$"2l;z>JYhO#!#<$"1p,9FVid*)!#;7$$"2LL$e9r5$R#!#<$"1O3mMkM?*)!#;7$$"2lm"z>(GqW#!#<$"1R;*zQ/,"))!#;7$$"+D.&4]#!#5$"19bZNGw_')!#;7$$"*NO#4E!"*$"1i_jb%=N?)!#;7$$"+vB_<F!#5$"1m-y.u2/w!#;7$$"2(*****\-w=#G!#<$"0&o%pzMx#p!#:7$$"+v'Hi#H!#5$"1v=8d)QX?'!#;7$$"1L$eky#*4-$!#;$"0n&HGJ4]b!#:7$$"2mm;z*ev:J!#<$"1c>(z$4zM\!#;7$$".DJSQ%GK!#8$"/kfpa*eH%!#97$$"1LLL347TL!#;$"1M_9aQ^$z$!#;7$$"2MLL3xxlV$!#<$"1V,#3EL<\$!#;7$$"1LLLLY.KN!#;$"2YM-/+x&3L!#<7$$"2n"HK*Q%zfN!#<$"2%e`<cuGxK!#<7$$"/DJXTb(e$!#9$"2%fi;[bgbK!#<7$$"1$3-8!RJ:O!#;$"2Y\kw'pHVK!#<7$$"2nm"HdO2VO!#<$"1JhV2r3SK!#;7$$"0D"G8M$3n$!#:$"1TXQ2WmXK!#;7$$"1L3FpJf)p$!#;$"1G*\))z$ofK!#;7$$"2mTg_#HNEP!#<$"1KSH;-x"G$!#;7$$"-D"o7Tv$!#7$"1fi/Y@_6L!#;7$$"2jm"HK5S_Q!#<$"1"y;3T5?Z$!#;7$$"1LLL$Q*o]R!#;$"1W[>ZNp-P!#;7$$"-D"=lj;%!#7$"1h(*==N-]V!#;7$$"-vV&R<P%!#7$"1Vp5r2V$*\!#;7$$"2NLLe9Ege%!#<$"1si]iG)oa&!#;7$$"2OL3F9<Wo%!#<$"1W/f(R*\Nd!#;7$$"2LL$eR"3Gy%!#<$"13)fDB0f(e!#;7$$"2j;H28se$[!#<$"1%*[q))pjIf!#;7$$".v=7O*))[!#8$"1B"*)HH1.(f!#;7$$"2N$3-8,+U\!#<$"1"[RkvWZ*f!#;7$$"2mmmT5k]*\!#<$"1t$fn+bQ+'!#;7$$"1nTgxE=]]!#;$"1L)4v2^q*f!#;7$$"1m;/^7I0^!#;$"1pN'4w*ptf!#;7$$"1l"zW#)>/;&!#;$"1'H[_"4!R$f!#;7$$"1mm"zRQb@&!#;$"0*>zbd$y(e!#:7$$"1LLLe,]6`!#;$"11?OnuIUd!#;7$$"-v=>Y2a!#7$"1W6@%G!ygb!#;7$$"1mm;zXu9c!#;$"1LlG*ojI.&!#;7$$"*&y))Ge!"*$"2Y?]X/\_O%!#<7$$"1****\i_QQg!#;$"18M\H_tJP!#;7$$"1**\(=-N(Rh!#;$"1.nl9i;)[$!#;7$$"1***\7y%3Ti!#;$"0$*>UD;uJ$!#:7$$"1\7G)o<#pi!#;$"2a(>hUU,'G$!#<7$$"1*\7`f]tH'!#;$"2b1j"*3<CE$!#<7$$"0vVB]$[Dj!#:$"1A4\'eYqC$!#;7$$"1**\P4kh`j!#;$"1)*o[wrHSK!#;7$$"1\iS;$\<Q'!#;$"1<vr`@`UK!#;7$$"/vVBA))4k!#9$"1Gdr/*zSD$!#;7$$"1\(o/8:!Qk!#;$"2uZ5j@I_F$!#<7$$"1****\P![hY'!#;$"2%4_?(oIiI$!#<7$$"1mmT5FEnl!#;$"2v)3OXue,N!#<7$$"1LLL$Qx$om!#;$"11$44FL*HQ!#;7$$"1mm;z)Qjx'!#;$"1%[#4(QF/K%!#;7$$"+v.I%)o!#5$"2vB!=\$Q^$\!#<7$$"1K$ek`H@)p!#;$"1(3+)zp@rb!#;7$$"1mm"zpe*zq!#;$"1[vX[U!yC'!#;7$$"1L$e9"="p=(!#;$"19/4<H@()p!#;7$$"+D\'QH(!#5$"1@'=p'Q*Gn(!#;7$$"1n;zp%*\%R(!#;$"1CXcrxu@#)!#;7$$"1KLe9S8&\(!#;$"1'>$G5YaR')!#;7$$",D1Ixa(!#6$"1x+;h!eoz)!#;7$$"1mmT5hK+w!#;$"1st(3'pY4*)!#;7$$".vV8Cmi(!#8$"1YC#H_"z[*)!#;7$$"1LLLe@#Hl(!#;$"1r]F(=fo(*)!#;7$$"1m;H#=?#zw!#;$"0MaXXKQ**)!#:7$$"1***\i?=bq(!#;$"0Kb![v'****)!#:7$$"1;/^J$H7t(!#;$"0T+EIBe**)!#:7$$"1L3xc/%pv(!#;$"1K6T'en?)*)!#;7$$"0DJ?e^Ey(!#:$"1Dl_$[)>f*)!#;7$$"1m;H2FO3y!#;$"1Yc#*[izF*)!#;7$$"1*\7y&\yfy!#;$"1.h9<e5U))!#;7$$"1LLL3s?6z!#;$"11)>;T[6t)!#;7$$"-DJXaE")!#7$"0#o?waFl")!#:7$$"1mT5!R$Ry")!#;$"1)e4u$f]]!)!#;7$$"1L$e*[ACI#)!#;$"1-ewP*f7'z!#;7$$"1;aQym;c#)!#;$"1vEM+/RGz!#;7$$"1*\7y5"4#G)!#;$"1EC"R#=L/z!#;7$$"1%eRs`:!3$)!#;$"1lUn]?n*)y!#;7$$"1nmmm*RRL)!#;$"1s0W&ym[)y!#;7$$"1mT5S9Xg$)!#;$"0muCWm/*y!#:7$$"1n;a8H'pQ)!#;$"1Aonx\&o!z!#;7$$"1n"zpQuMT)!#;$"17WbO^+Mz!#;7$$"1nmTge)*R%)!#;$"1,$*y?5prz!#;7$$"1n;H2)3I\)!#;$"1:MpuZrw!)!#;7$$"1mm;a<.Y&)!#;$"1_1DOo"e@)!#;7$$".vV`*>^')!#8$"18aCjC0^&)!#;7$$"1LLe9tOc()!#;$"1s0z1T&R'))!#;7$$"1;/^")o_!y)!#;$"1&f:qVCp"*)!#;7$$"/vV[ko/))!#9$"1;zH-Dae*)!#;7$$"1$ek`,Y)G))!#;$"1vKX&GRn)*)!#;7$$"1m;H#e0I&))!#;$"1loQY*o%***)!#;7$$"0v=#\^;x))!#:$"11ZJG<u%**)!#;7$$"1Le9;ZK,*)!#;$"1XLu9'f1(*)!#;7$$"1;H2$G%[D*)!#;$"16lc%eaa#*)!#;7$$"*&Qk\*)!"*$"1J7ka#Hv&))!#;7$$"1L$3-.B]+*!#;$"1<xMCB34')!#;7$$"1nmT5ASg!*!#;$"1wdCE"*\B#)!#;7$$".D1R"y:"*!#8$"0(4a7j')*p(!#:7$$"1LL$3dg6<*!#;$"1BZY#=6-0(!#;7$$"1n;zpBp?#*!#;$"1QRes)QXQ'!#;7$$"-voTAq#*!#7$"1ZW(zzX8n&!#;7$$"1L$3x'fv>$*!#;$"2'H![V#4u`\!#<7$$"1mmmmxGp$*!#;$"2Zli])Q)fG%!#<7$$"/DJ&**)4A%*!#9$"20`OQe'o+P!#<7$$"1L$eRA5\Z*!#;$"28)p>=VlGL!#<7$$"1"z>6.8")[*!#;$"1m,/$y:*yK!#;7$$"0D"GQeJ,&*!#:$"1QANjc+\K!#;7$$"14FWX'=X^*!#;$"1o5Qgb3SK!#;7$$"1mTg_9sF&*!#;$"1_&R&pVB`K!#;7$$"1$3Fp1FTb*!#;$"2E$y9Zj_\L!#<7$$"-D"oK0e*!#7$"1b4'QH,Ta$!#;7$$"1,vVBi!eg*!#;$"0@n%e*ec#Q!#:7$$".Dcwz5j*!#8$"2Mex4;/0?%!#<7$$"/D"yI`jl*!#9$"1`$H^zC[m%!#;7$$"*&oi"o*!"*$"0&[r!yR+@&!#:7$$"1,v=#R+pq*!#;$"1=Xi?'><#e!#;7$$".vV$R<K(*!#8$"1U2=5[Nyk!#;7$$"/DcwuWd(*!#9$"1GDW#Rc*\r!#;7$$"-v=5s#y*!#7$"1P8z%prkz(!#;7$$"1^iS"*3))4)*!#;$"1ViU$Q!p.%)!#;7$$"/D1k2/P)*!#9$"1vL)e%fUR))!#;7$$"1C1R+2i])*!#;$"10fh!y+9'*)!#;7$$"0v=nj+U')*!#:$"1n(Q,cs&***)!#;7$$"1vo/t0yx)*!#;$".$)[%3$p$*)!#87$$".v$40O"*)*!#8$"1(**=wVCYv)!#;7$$"1DJqX/%\!**!#;$"1th(>Z@=V)!#;7$$"1^7.#Q?&=**!#;$"0a2yMhb%z!#:7$$"1w$f$=.5K**!#;$"1;CiM")fqs!#;7$$"/voa-oX**!#9$"0"y,]]Bzj!#:7$$"1i:&GAqC&**!#;$"1W#3UKNI%e!#;7$$"1Cc,">g#f**!#;$"1'e/`g\6C&!#;7$$"1(oz"f,0m**!#;$"2$)H5$HqMpX!#<7$$"0vVt7SG(**!#:$"2%R$R`**3K#Q!#<7$$"17y]&4I'z**!#;$"2N-B?$G7)*H!#<7$$"1v=nj+U')**!#;$"2FyARHv#*3#!#<7$$"1Pf$=.5K***!#;$"2n5MU)ek"4"!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"0)>M3y6%H(!#:$"13WnKMLLL!#;$"1*zon!*4XF)!#;-%%VIEWG6$;$""!!""$"#5!"";$""!!""$"#5!""-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$I%!""-%)BOUNDS_YG6#$"$?"!""-%-BOUNDS_WIDTHG6#$"%!\$!""-%.BOUNDS_HEIGHTG6#$"%gM!""-%)CHILDRENG6"

In fact, yes, now we see some extra intersections with this one, the violet one. Even back, earlier, those exist, so that's the period 4 ones, with period 3 skipped. 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

6,-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2mmmmT:(z@!#=7$$"2NLLe9ui2%!#=$"2NLLe9ui2%!#=7$$"1nmm"z_"4i!#<$"1nmm"z_"4i!#<7$$"1mmmT&phN)!#<$"1mmmT&phN)!#<7$$"2KL$e*=)H\5!#<$"2KL$e*=)H\5!#<7$$"2mm;z/3uC"!#<$"2mm;z/3uC"!#<7$$"2)***\7LRDX"!#<$"2)***\7LRDX"!#<7$$"2lm;zR'ok;!#<$"2lm;zR'ok;!#<7$$"2)***\i5`h(=!#<$"2)***\i5`h(=!#<7$$"2NLL$3En$4#!#<$"2NLL$3En$4#!#<7$$"2nmmT!RE&G#!#<$"2nmmT!RE&G#!#<7$$"+D.&4]#!#5$"+D.&4]#!#57$$"+vB_<F!#5$"+vB_<F!#57$$"+v'Hi#H!#5$"+v'Hi#H!#57$$"2mm;z*ev:J!#<$"2mm;z*ev:J!#<7$$"1LLL347TL!#;$"1LLL347TL!#;7$$"1LLLLY.KN!#;$"1LLLLY.KN!#;7$$"-D"o7Tv$!#7$"-D"o7Tv$!#77$$"1LLL$Q*o]R!#;$"1LLL$Q*o]R!#;7$$"-D"=lj;%!#7$"-D"=lj;%!#77$$"-vV&R<P%!#7$"-vV&R<P%!#77$$"2NLLe9Ege%!#<$"2NLLe9Ege%!#<7$$"2LL$eR"3Gy%!#<$"2LL$eR"3Gy%!#<7$$"2mmmT5k]*\!#<$"2mmmT5k]*\!#<7$$"1mm"zRQb@&!#;$"1mm"zRQb@&!#;7$$"-v=>Y2a!#7$"-v=>Y2a!#77$$"1mm;zXu9c!#;$"1mm;zXu9c!#;7$$"*&y))Ge!"*$"*&y))Ge!"*7$$"1****\i_QQg!#;$"1****\i_QQg!#;7$$"1***\7y%3Ti!#;$"1***\7y%3Ti!#;7$$"1****\P![hY'!#;$"1****\P![hY'!#;7$$"1LLL$Qx$om!#;$"1LLL$Qx$om!#;7$$"+v.I%)o!#5$"+v.I%)o!#57$$"1mm"zpe*zq!#;$"1mm"zpe*zq!#;7$$"+D\'QH(!#5$"+D\'QH(!#57$$"1KLe9S8&\(!#;$"1KLe9S8&\(!#;7$$"1***\i?=bq(!#;$"1***\i?=bq(!#;7$$"1LLL3s?6z!#;$"1LLL3s?6z!#;7$$"-DJXaE")!#7$"-DJXaE")!#77$$"1nmmm*RRL)!#;$"1nmmm*RRL)!#;7$$"1mm;a<.Y&)!#;$"1mm;a<.Y&)!#;7$$"1LLe9tOc()!#;$"1LLe9tOc()!#;7$$"*&Qk\*)!"*$"*&Qk\*)!"*7$$"1LL$3dg6<*!#;$"1LL$3dg6<*!#;7$$"1mmmmxGp$*!#;$"1mmmmxGp$*!#;7$$"-D"oK0e*!#7$"-D"oK0e*!#77$$"-v=5s#y*!#7$"-v=5s#y*!#77$$"#5!""$"#5!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1Ja"HQ8FY(!#<7$$"2NLLe9ui2%!#=$"2Uq\G"*R&o8!#<7$$"1nmm"z_"4i!#<$"2jT<F&fEQ?!#<7$$"1mmmT&phN)!#<$"1h:lY)p-o#!#;7$$"2KL$e*=)H\5!#<$"1l'4=K%=(G$!#;7$$"2mm;z/3uC"!#<$"2')y0Wx=8#Q!#<7$$"2)***\7LRDX"!#<$"218&G")HVXV!#<7$$"2lm;zR'ok;!#<$"1l_^6"*[c[!#;7$$"2)***\i5`h(=!#<$"1mHa/KbM`!#;7$$"2NLL$3En$4#!#<$"0"oN#QTOz&!#:7$$"2nmmT!RE&G#!#<$"1dG\vFdqh!#;7$$"+D.&4]#!#5$"1Q)eEviTc'!#;7$$"+vB_<F!#5$"1E5)>c.m#p!#;7$$"+v'Hi#H!#5$"1(G-P#o"[C(!#;7$$"2mm;z*ev:J!#<$"0Y<tXot](!#:7$$"1LLL347TL!#;$"164tb?%oy(!#;7$$"1LLLLY.KN!#;$"1>Nz)=xd*z!#;7$$"-D"o7Tv$!#7$"1yA9wwr1#)!#;7$$"1LLL$Q*o]R!#;$"1=FTI:jk$)!#;7$$"-D"=lj;%!#7$"1z'Qhaon])!#;7$$"-vV&R<P%!#7$"0R*oz5&=h)!#:7$$"2NLLe9Ege%!#<$"1RK#o(*=+p)!#;7$$"2LL$eR"3Gy%!#<$"1i!>Np*[L()!#;7$$"2mmmT5k]*\!#<$"18j#HZ"**\()!#;7$$"1mm"zRQb@&!#;$"1J#e'>,uL()!#;7$$"-v=>Y2a!#7$".pY<"*=p)!#87$$"1mm;zXu9c!#;$"1>[$e=Jxh)!#;7$$"*&y))Ge!"*$"1KGCE2`4&)!#;7$$"1****\i_QQg!#;$"1$)zJ;Yhs$)!#;7$$"1***\7y%3Ti!#;$"1vB,)*z*3@)!#;7$$"1****\P![hY'!#;$"1;sCwMk(*z!#;7$$"1LLL$Qx$om!#;$"1QOP<4yvx!#;7$$"+v.I%)o!#5$"1,7(QB%H2v!#;7$$"1mm"zpe*zq!#;$"1#GO_8?eB(!#;7$$"+D\'QH(!#5$"1h"\qHk$3p!#;7$$"1KLe9S8&\(!#;$"1UUC(=25d'!#;7$$"1***\i?=bq(!#;$"1DuZK*f!)='!#;7$$"1LLL3s?6z!#;$"1;=b1aq$y&!#;7$$"-DJXaE")!#7$"1_(QHv^'G`!#;7$$"1nmmm*RRL)!#;$"2B$>`/bpf[!#<7$$"1mm;a<.Y&)!#;$"1'ea%z0)*[V!#;7$$"1LLe9tOc()!#;$"/bF4mR6Q!#97$$"*&Qk\*)!"*$"2D,b.r4,H$!#<7$$"1LL$3dg6<*!#;$"1pQJAo\gE!#;7$$"1mmmmxGp$*!#;$"2a&*>Uaj#o?!#<7$$"-D"oK0e*!#7$"2%R-gC@b19!#<7$$"-v=5s#y*!#7$"0OC))zG&Ru!#;7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6$7ep7$$""!!""$""!!""7$$"1mmmT&)G\a!#=$"1V"*Rj*pI^'!#<7$$"2LLL$3x&)*3"!#=$"2$fo;#y-2F"!#<7$$",Dc'yM;!#7$"1kIj'G1!f=!#;7$$"2mmmmT:(z@!#=$"1$*fRlt-<C!#;7$$"2LLe*)4bQl#!#=$"1`tXu[ayG!#;7$$"-D"y%*z7$!#8$"2F(Ht6\E=L!#<7$$"1n;ajW8-O!#<$"2Y6.x</nt$!#<7$$"2NLLe9ui2%!#=$"1G?SsTPMT!#;7$$"-voMrU^!#8$"2(Q'\oqOb&\!#<7$$"1nmm"z_"4i!#<$"1%\3;+Y)zc!#;7$$"1nmmm6m#G(!#<$"14e+=rt;j!#;7$$"1mmmT&phN)!#<$"06wa?)fmo!#:7$$"-v=ddC%*!#8$"0M=zYeFL(!#:7$$"2KL$e*=)H\5!#<$"1$)3Re=>Bx!#;7$$"2)***\(=JN[6!#<$"1%z:oJ0>-)!#;7$$"2mm;z/3uC"!#<$"1/6&*)p[PE)!#;7$$"1LLe*ot*\8!#;$"1xU)Qx(Ge%)!#;7$$"2)***\7LRDX"!#<$"1`PI1(R+g)!#;7$$"2mm;z4wb]"!#<$"1mx^;O&Rl)!#;7$$"1LLekGhe:!#;$"1"*=#)[LO&p)!#;7$$"2)***\7j\;h"!#<$"06LMF,[s)!#:7$$"2lm;zR'ok;!#<$"17-r=;zU()!#;7$$"2)*****\2`vr"!#<$"1X'pKwW)\()!#;7$$"1LL3_(>/x"!#;$"1&**G!3&Rlu)!#;7$$"2kmm"HkGB=!#<$"1FmM,4PL()!#;7$$"2)***\i5`h(=!#<$"17bm`f#3r)!#;7$$"2mm"HdG"\)>!#<$"17:#o@()pj)!#;7$$"2NLL$3En$4#!#<$"0xtYnY&H&)!#:7$$"2nmmT!RE&G#!#<$"1Ki/#y:/F)!#;7$$"+D.&4]#!#5$"1b"="4#)o$*y!#;7$$"+vB_<F!#5$"12nB]&p3X(!#;7$$"+v'Hi#H!#5$"16"3)*4zi)p!#;7$$"2mm;z*ev:J!#<$"0JPn>'e\l!#:7$$"1LLL347TL!#;$"1GLuu*G<.'!#;7$$"1LLLLY.KN!#;$"1TlGi;')3c!#;7$$"-D"o7Tv$!#7$"1M3$4hO4:&!#;7$$"1LLL$Q*o]R!#;$"1*R$fK"Rxy%!#;7$$"-D"=lj;%!#7$"1YVLF5!fW%!#;7$$"-vV&R<P%!#7$"118NAh3%=%!#;7$$"2NLLe9Ege%!#<$"0`RF)fJ%)R!#:7$$"2OL3F9<Wo%!#<$"2m44GQ+#>R!#<7$$"2LL$eR"3Gy%!#<$"1Ha$z9p8(Q!#;7$$".v=7O*))[!#8$"2/g=vU^%RQ!#<7$$"2mmmT5k]*\!#<$"2(zHa$QZ"GQ!#<7$$"1m;/^7I0^!#;$"1;B?`rIQQ!#;7$$"1mm"zRQb@&!#;$"2()3*f^YrqQ!#<7$$"1LLLe,]6`!#;$"1wnK!zpo"R!#;7$$"-v=>Y2a!#7$"1///W)y%zR!#;7$$"1mm;zXu9c!#;$"2nOjMP2#pT!#<7$$"*&y))Ge!"*$"2/6X&Gz6RW!#<7$$"1****\i_QQg!#;$"2vSHus9*oZ!#<7$$"1***\7y%3Ti!#;$"1UgA;paT^!#;7$$"1****\P![hY'!#;$"1y$fivY\g&!#;7$$"1LLL$Qx$om!#;$"1F0c/TE`g!#;7$$"+v.I%)o!#5$"1z'y'okr\l!#;7$$"1mm"zpe*zq!#;$"11_+8zQ+q!#;7$$"+D\'QH(!#5$"1A=T)*4Nvu!#;7$$"1KLe9S8&\(!#;$"1F%phuxh)y!#;7$$"1***\i?=bq(!#;$"12Y*)e(zfD)!#;7$$"1LLL3s?6z!#;$"12&4D/K]`)!#;7$$"1m;zpe()=!)!#;$"0zs1[Z,k)!#:7$$"-DJXaE")!#7$"1*f^)3e>7()!#;7$$"1mT5!R$Ry")!#;$"1#Hah6ORt)!#;7$$"1L$e*[ACI#)!#;$"1_)eH!HkY()!#;7$$"1*\7y5"4#G)!#;$"0c&Q"ec)\()!#:7$$"1nmmm*RRL)!#;$"12I*p75Ju)!#;7$$"1n;a8H'pQ)!#;$"117%zX:as)!#;7$$"1nmTge)*R%)!#;$"1&>)\sFH'p)!#;7$$"1n;H2)3I\)!#;$"1c&zeY=_l)!#;7$$"1mm;a<.Y&)!#;$"0XD**zg;g)!#:7$$".vV`*>^')!#8$"1)pc%p'ojX)!#;7$$"1LLe9tOc()!#;$"1x`%GpFbD)!#;7$$"1m;H#e0I&))!#;$"1y1rf9?=!)!#;7$$"*&Qk\*)!"*$"1CA3>jpEx!#;7$$"1nmT5ASg!*!#;$"1xA50**G@t!#;7$$"1LL$3dg6<*!#;$"1u(e&3PNMo!#;7$$"-voTAq#*!#7$"1O!)=P11Dj!#;7$$"1mmmmxGp$*!#;$"1#fZQZA<u&!#;7$$"1L$eRA5\Z*!#;$"1xS2bWLL]!#;7$$"-D"oK0e*!#7$"2/tu$Gj\IU!#<7$$".Dcwz5j*!#8$"1-A&)49F6Q!#;7$$"*&oi"o*!"*$"2CylVqZ&oL!#<7$$".vV$R<K(*!#8$"2$>p(GT1<!H!#<7$$"-v=5s#y*!#7$"2lko*=?75C!#<7$$"/D1k2/P)*!#9$"2/`E!pGa`=!#<7$$".v$40O"*)*!#8$"1>`1(zloE"!#;7$$"/voa-oX**!#9$"1w@&*4d)G\'!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%'CURVESG6$7[s7$$""!!""$""!!""7$$"2mm;a8ABO"!#>$"1kP8(yO*3d!#<7$$"1LL$3FWYs#!#=$"2$=DBZW)e6"!#<7$$"-D1k'p3%!#9$"2`+`)*o7dj"!#<7$$"1mmmT&)G\a!#=$"2tBrf?/68#!#<7$$"1LL3x1h6o!#=$"1K*zATqFg#!#;7$$",D"G$R<)!#8$"1L80V&390$!#;7$$"1mm"z%\DO&*!#=$"21M>&[=qxM!#<7$$"2LLL$3x&)*3"!#=$"1*pr8z>B)Q!#;7$$"2mm;a8ABO"!#=$"1vA1o'R"HY!#;7$$",Dc'yM;!#7$"1&G1CZbpH&!#;7$$"2LL$e*)4D2>!#=$"1/d$\;Y1*e!#;7$$"2mmmmT:(z@!#=$"1$R5"H$))[T'!#;7$$"2LLe*)4bQl#!#=$"043E&)*zur!#:7$$"-D"y%*z7$!#8$"1A?^#[=,w(!#;7$$"1n;ajW8-O!#<$"1L&yGGH9>)!#;7$$"2NLLe9ui2%!#=$"1k$3V<Ux[)!#;7$$"20]il(R)GM%!#=$"1*QB5\$p,')!#;7$$"1n;H2Q\4Y!#<$"1"G#[q3W"o)!#;7$$"2'\ilA()zUZ!#=$"1siY0=O4()!#;7$$"1L3-QO5w[!#<$"1\D))*\j(H()!#;7$$"2mT&Q`&3%4]!#=$"1L`q!osHu)!#;7$$"-voMrU^!#8$"1ynWb!3$\()!#;7$$"1n"z%*HB$4a!#<$"1u#R5*GfU()!#;7$$"2ML3-8Lfn&!#=$"1G61R@,7()!#;7$$"/v$4'HaUf!#:$"1/7uC(R)f')!#;7$$"1nmm"z_"4i!#<$"1JR$\HL#)e)!#;7$$"1nmmm6m#G(!#<$"19Isw6<V")!#;7$$"1mmmT&phN)!#<$"1y'f()*Q`Iv!#;7$$"-v=ddC%*!#8$"1ZVivKQXo!#;7$$"2KL$e*=)H\5!#<$"1jx$e8zW:'!#;7$$"2)***\(=JN[6!#<$"1`,n*)3$Qb&!#;7$$"2mm;z/3uC"!#<$"1TK`]0y@]!#;7$$"1LLe*ot*\8!#;$"2v)3b&)f3kX!#<7$$"2)***\7LRDX"!#<$"2vti&R***Q@%!#<7$$"1LLekGhe:!#;$"29Nk?S,0(R!#<7$$"2lm;zR'ok;!#<$"2wS>Y")Gq%Q!#<7$$"1L$ekt>6p"!#;$"1QEH8pIMQ!#;7$$"2)*****\2`vr"!#<$"1EF)z[K&GQ!#;7$$"2mmTNT')Ru"!#<$"1%REPS`&HQ!#;7$$"1LL3_(>/x"!#;$"1[A<+Y?PQ!#;7$$"2kmm"HkGB=!#<$"1(RU&*fz;(Q!#;7$$"2)***\i5`h(=!#<$"1c3cf(>/$R!#;7$$"2mm"HdG"\)>!#<$"2'=pj%R8.7%!#<7$$"2NLL$3En$4#!#<$"2dwa\40)*Q%!#<7$$"2nmmT!RE&G#!#<$"1F+R9K`1]!#;7$$"+D.&4]#!#5$"1*pV>**)H>e!#;7$$"+vB_<F!#5$"1$)GqcMjZm!#;7$$"+v'Hi#H!#5$"1=H=oL9pt!#;7$$"2mm;z*ev:J!#<$"1>%3m"Rd4z!#;7$$"1LLL347TL!#;$"1zi$HOPuP)!#;7$$"2MLL3xxlV$!#<$"1)o543.g^)!#;7$$"1LLLLY.KN!#;$"1&=pmh]-i)!#;7$$"2nm"HdO2VO!#<$"0ZSI%R$4q)!#:7$$"-D"o7Tv$!#7$"1\#=)[j-U()!#;7$$"2jm"HK5S_Q!#<$"1"3mF!)R&\()!#;7$$"1LLL$Q*o]R!#;$"0teM'3BM()!#:7$$"1m;H#GF&eS!#;$"1sW/x]V'p)!#;7$$"-D"=lj;%!#7$"1.=(\,TDk)!#;7$$"-vV&R<P%!#7$"1%4"\!f**p^)!#;7$$"2NLLe9Ege%!#<$"1s&y>4N*)Q)!#;7$$"2LL$eR"3Gy%!#<$"1,)=*Rt;/$)!#;7$$".v=7O*))[!#8$"1%)*=QX%fy#)!#;7$$"2mmmT5k]*\!#<$"1%*f&e]m$p#)!#;7$$"1m;/^7I0^!#;$"1#o%R0Wmx#)!#;7$$"1mm"zRQb@&!#;$"1h/m5,l.$)!#;7$$"-v=>Y2a!#7$"17Oe*z([&Q)!#;7$$"1mm;zXu9c!#;$"1GB4kUU3&)!#;7$$"*&y))Ge!"*$"1j@nbR*)R')!#;7$$"1***\ibOO$f!#;$"1iTByx)Hp)!#;7$$"1****\i_QQg!#;$"1T.))e)48t)!#;7$$"1**\(=-N(Rh!#;$"1hX;ly4\()!#;7$$"1***\7y%3Ti!#;$"1:unkv)Hu)!#;7$$"1**\P4kh`j!#;$"1.@nHwq-()!#;7$$"1****\P![hY'!#;$"1Q>t(z8>i)!#;7$$"1mmT5FEnl!#;$"1"48j1,6^)!#;7$$"1LLL$Qx$om!#;$"13b6a@sh$)!#;7$$"+v.I%)o!#5$"08ZLgK%4z!#:7$$"1mm"zpe*zq!#;$"1Pf7poX\t!#;7$$"+D\'QH(!#5$"1f:8-JU0m!#;7$$"1KLe9S8&\(!#;$"1F281B\Me!#;7$$"1***\i?=bq(!#;$"1;SQL&3&R]!#;7$$"1LLL3s?6z!#;$"1s3Xg>CwV!#;7$$"1m;zpe()=!)!#;$"0/L;@kA6%!#:7$$"-DJXaE")!#7$"2thgozgo#R!#<7$$"1mT5!R$Ry")!#;$"17v;yB?qQ!#;7$$"1L$e*[ACI#)!#;$"1By>NM$p$Q!#;7$$"1;aQym;c#)!#;$"21>1pBG&HQ!#<7$$"1*\7y5"4#G)!#;$"0zjmY,&GQ!#:7$$"1%eRs`:!3$)!#;$"2()*RS$))3S$Q!#<7$$"1nmmm*RRL)!#;$"1R3--V>YQ!#;7$$"1nmTge)*R%)!#;$"1i@**3p4oR!#;7$$"1mm;a<.Y&)!#;$"1G")z=Q")4U!#;7$$".vV`*>^')!#8$"1\$zsYI(oX!#;7$$"1LLe9tOc()!#;$"/4R/)Q0/&!#97$$"1m;H#e0I&))!#;$"1<,,#)4mhb!#;7$$"*&Qk\*)!"*$"14iA9XzZh!#;7$$"1nmT5ASg!*!#;$"1"fk<hkS'o!#;7$$"1LL$3dg6<*!#;$"1OQ;l7Isv!#;7$$"-voTAq#*!#7$"1#>@x+va8)!#;7$$"1mmmmxGp$*!#;$"1%HE,sYub)!#;7$$"1$e*)4Q$p&R*!#;$"1XB]L2,N')!#;7$$"/DJ&**)4A%*!#9$"1P=='f!G%p)!#;7$$"1fRZ-=IN%*!#;$"1U9&3f<kr)!#;7$$"1;aj4Y][%*!#;$"1;qwBA?L()!#;7$$"1uoz;uqh%*!#;$"1<Xm[/OW()!#;7$$"1L$eRA5\Z*!#;$"0sO\36'\()!#:7$$"0D"GQeJ,&*!#:$"1xP%))[G7u)!#;7$$"1mTg_9sF&*!#;$"1L,B#zdcq)!#;7$$"1$3Fp1FTb*!#;$"1NOAD0QS')!#;7$$"-D"oK0e*!#7$"1HVxMCvU&)!#;7$$".Dcwz5j*!#8$"1Kyj=NUb#)!#;7$$"*&oi"o*!"*$"1WWZ#>F%=y!#;7$$".vV$R<K(*!#8$"1aLy2u+4s!#;7$$"-v=5s#y*!#7$"1O"z^@'Q-k!#;7$$"1^iS"*3))4)*!#;$"1c9RKR@ye!#;7$$"/D1k2/P)*!#9$"1s6.LE$\G&!#;7$$"0v=nj+U')*!#:$"1&[?D41zh%!#;7$$".v$40O"*)*!#8$"1Ox+e")HsQ!#;7$$"1DJqX/%\!**!#;$"1N#Q-we%oM!#;7$$"1^7.#Q?&=**!#;$"2Bu#zyo1VI!#<7$$"1w$f$=.5K**!#;$"1lR/K"faf#!#;7$$"/voa-oX**!#9$"2w]M:_e\7#!#<7$$"1Cc,">g#f**!#;$"2o'RbQU(3j"!#<7$$"0vVt7SG(**!#:$"2,&=')o9]76!#<7$$"1v=nj+U')**!#;$"1TBXb>@"p&!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6$7iw7$$""!!""$""!!""7$$"1LL3x1h6o!#>$"1hwf_O#Q")*!#<7$$"2mm;a8ABO"!#>$"2_ge"=g0%)=!#<7$$".DJ?$[V?!#:$"2leFKq'=7F!#<7$$"1LL$3FWYs#!#=$"2jTi/Bw(pM!#<7$$"2lmT&Q`!eS$!#>$"2`K2#pvmgT!#<7$$"-D1k'p3%!#9$"2`OuJ")\&)y%!#<7$$"1L$eRZF"oZ!#=$"1%o%H>I'pN&!#;7$$"1mmmT&)G\a!#=$"1F90BHIpe!#;7$$"1LL3x1h6o!#=$"1;eJ1;lQn!#;7$$",D"G$R<)!#8$"1Nt'o'p/@u!#;7$$"1mm"z%\DO&*!#=$"1)\*H=H"*Qz!#;7$$"2LLL$3x&)*3"!#=$"14U$H$ox7$)!#;7$$".v=#**3E7!#9$"1RH2!R$Rh&)!#;7$$"2mm;a8ABO"!#=$"1l#o\">'=q)!#;7$$"/v=U#Q/V"!#:$"1"Q*fN!fkt)!#;7$$"2LLe*[Vb)\"!#=$"1K0k*[P(\()!#;7$$"2o;HdXqmc"!#=$"1XdODwTV()!#;7$$",Dc'yM;!#7$"1'y#f1h8>()!#;7$$"2LL$e*)4D2>!#=$"1j)4JHiBZ)!#;7$$"2mmmmT:(z@!#=$"0_^c&=L\!)!#:7$$"/D"yD&y;C!#:$"0BUd*G=$f(!#:7$$"2LLe*)4bQl#!#=$"0a$Qgfe%4(!#:7$$"2n;/,%\#4*G!#=$"1wP\Z8_$e'!#;7$$"-D"y%*z7$!#8$"1PM(o36O3'!#;7$$"1LeRAY1lL!#<$"1xUY[[+8c!#;7$$"1n;ajW8-O!#<$"1%*[L'ps^=&!#;7$$"20](o/V?RQ!#=$"1M"[[Z7'4[!#;7$$"2NLLe9ui2%!#=$"1pF%R3zC\%!#;7$$"1n;H2Q\4Y!#<$"2D$***4fZk+%!#<7$$"-voMrU^!#8$"2Omwo=T*HQ!#<7$$"2ML3-8Lfn&!#=$"2$*)>"y0Qt#R!#<7$$"1nmm"z_"4i!#<$"1aYRPOgVU!#;7$$"1mm;zp!fu'!#<$"1YaDUa!*>Z!#;7$$"1nmmm6m#G(!#<$"1#=OQBm@H&!#;7$$"1nm;a`T>y!#<$"1h:It-3/f!#;7$$"1mmmT&phN)!#<$"0&)HbOR(3l!#:7$$"1L$3-js.*))!#<$"1Z4YQBWnq!#;7$$"-v=ddC%*!#8$"1%3;")>'4ev!#;7$$"1m;H2)y(e**!#<$"1h3;cMflz!#;7$$"2KL$e*=)H\5!#<$"1`.stA^$G)!#;7$$"2mmmTlD))4"!#<$"1GtC$o4))\)!#;7$$"2)***\(=JN[6!#<$"14l(4(\kU')!#;7$$"2lmT5&o6t6!#<$"10,`xb;!p)!#;7$$"2KLLLe!)y>"!#<$"1wN*>L!*Hs)!#;7$$".DcJWEA"!#8$"1AWO6FUU()!#;7$$"2mm;z/3uC"!#<$"1ikmiR$)\()!#;7$$"2KLL$e%\IF"!#<$"1`#R`;Zju)!#;7$$"2)***\(o3p)H"!#<$"1NYY^j2L()!#;7$$"2lmm"zALC8!#<$"1()\d;fg6()!#;7$$"1LLe*ot*\8!#;$"/C?SE\$o)!#97$$"2jm;/^c7S"!#<$"11&Q$4uI8')!#;7$$"2)***\7LRDX"!#<$"1'=VKM;P`)!#;7$$"1LLekGhe:!#;$"1')p*GUY!z$)!#;7$$"2lm;zR'ok;!#<$"1D())f5IZG)!#;7$$"1L$ekt>6p"!#;$"1J4mpeSu#)!#;7$$"2)*****\2`vr"!#<$"1@3!RN#op#)!#;7$$"2mmTNT')Ru"!#<$"1O]%y;>0F)!#;7$$"1LL3_(>/x"!#;$"1)z[.SnnF)!#;7$$"2kmm"HkGB=!#<$"1=*oed7WI)!#;7$$"2)***\i5`h(=!#<$"1\<CQ$*f\$)!#;7$$"2mm"HdG"\)>!#<$"1s1s;I:z%)!#;7$$"2NLL$3En$4#!#<$"1#*)\Aw"o>')!#;7$$"2om"HK/dT@!#<$"1X5WHe[s')!#;7$$"-Dc#o%*=#!#7$"1`!\UH*39()!#;7$$"2n;H#orT8A!#<$"17t_xwcH()!#;7$$"2ML3-3mtB#!#<$"07*4p:&4u)!#:7$$"/v=#*\JhA!#9$"12`g^*pyu)!#;7$$"2nmmT!RE&G#!#<$"11%))41&)*\()!#;7$$"2N$3x1ZA7B!#<$"1.cR()GCY()!#;7$$".v$4b=RB!#8$"1MmVRXlN()!#;7$$"2l;z>JYhO#!#<$"1FJHjX!zr)!#;7$$"2LL$e9r5$R#!#<$"1.mVW'RFp)!#;7$$"2lm"z>(GqW#!#<$"1:&[74m%>')!#;7$$"+D.&4]#!#5$"17+j1A1:&)!#;7$$"*NO#4E!"*$"1a&zHNUJ@)!#;7$$"+vB_<F!#5$"1eOK(Rc)*z(!#;7$$"2(*****\-w=#G!#<$"1*3,^(H!)=t!#;7$$"+v'Hi#H!#5$"19#[`*e]&y'!#;7$$"1L$eky#*4-$!#;$"1olQi3u#G'!#;7$$"2mm;z*ev:J!#<$"1"=F$oG.(y&!#;7$$".DJSQ%GK!#8$"1G^m:^yO_!#;7$$"1LLL347TL!#;$"2Er/3!4_dZ!#<7$$"2MLL3xxlV$!#<$"1$Hfs"G?BW!#;7$$"1LLLLY.KN!#;$"1NsP:\#G;%!#;7$$"2nm"HdO2VO!#<$"2C#yB#y!3cR!#<7$$"-D"o7Tv$!#7$"1([i;eL!\Q!#;7$$"2kT5!pZoyP!#<$"16$)>Nb*y$Q!#;7$$"1L3xcoD.Q!#;$"28sGtq15$Q!#<7$$"2(\7`W*Gy#Q!#<$"1.p>!\3#GQ!#;7$$"2jm"HK5S_Q!#<$"1:bhVHLHQ!#;7$$"2'*\7y?X:!R!#<$"1::o&)yjUQ!#;7$$"1LLL$Q*o]R!#;$"1&HP/&>VpQ!#;7$$"1m;H#GF&eS!#;$"0L=CqGx'R!#:7$$"-D"=lj;%!#7$"1mo)RBjh5%!#;7$$"-vV&R<P%!#7$"2c"*p"e)\2U%!#<7$$"2NLLe9Ege%!#<$"1mY#)H;HIZ!#;7$$"2OL3F9<Wo%!#<$"2%*eh=_QG%[!#<7$$"2LL$eR"3Gy%!#<$"0([Vmt')G\!#:7$$"2j;H28se$[!#<$"2dqUme@H'\!#<7$$".v=7O*))[!#8$"0f&eUky()\!#:7$$"2N$3-8,+U\!#<$"1nJa)4"=.]!#;7$$"2mmmT5k]*\!#<$"1RajF\$*3]!#;7$$"1nTgxE=]]!#;$"1MhY]pj/]!#;7$$"1m;/^7I0^!#;$"1`I'fh?**)\!#;7$$"1l"zW#)>/;&!#;$"1yqOH;'\'\!#;7$$"1mm"zRQb@&!#;$"1$f;7ej+$\!#;7$$"1LLLe,]6`!#;$"02U4ulp%[!#:7$$"-v=>Y2a!#7$"0o/cKl%QZ!#:7$$"1mm;zXu9c!#;$"1t[49d$=W%!#;7$$"*&y))Ge!"*$"2&Q9,(>5H6%!#<7$$"1***\ibOO$f!#;$"2meMWWWm(R!#<7$$"1****\i_QQg!#;$"0$y&zNkq(Q!#:7$$"1*\(=U,1*3'!#;$"1H%)fDWwYQ!#;7$$"1**\(=-N(Rh!#;$"1&['4>G\IQ!#;7$$"1\(=<Ys];'!#;$"1Cq()R!Q"GQ!#;7$$"1*\i:!*4/>'!#;$"1cC$Gy+*HQ!#;7$$"1\iSTtu:i!#;$"1`J9cx'f$Q!#;7$$"1***\7y%3Ti!#;$"2BeM<V:l%Q!#<7$$"1**\P4kh`j!#;$"2%*z3Kn%[^R!#<7$$"1****\P![hY'!#;$"2LlHY:4'eT!#<7$$"1mmT5FEnl!#;$"2`FZdDf_V%!#<7$$"1LLL$Qx$om!#;$"2`9&[b%)e%z%!#<7$$"1mm;z)Qjx'!#;$"1B8'zXd)e_!#;7$$"+v.I%)o!#5$"0E.Vn?ty&!#:7$$"1K$ek`H@)p!#;$"1LFOd5K*H'!#;7$$"1mm"zpe*zq!#;$"1L4/Z$=!=o!#;7$$"1L$e9"="p=(!#;$"1j&e*H$f<O(!#;7$$"+D\'QH(!#5$"/)*4Ke"z%y!#97$$"1n;zp%*\%R(!#;$"1N<DQ?_D#)!#;7$$"1KLe9S8&\(!#;$"1=I&o!zE1&)!#;7$$",D1Ixa(!#6$"1xrvfyo5')!#;7$$"1mmT5hK+w!#;$"0Z!4,WY&o)!#:7$$".vV8Cmi(!#8$"17ZO%=$*=r)!#;7$$"1LLLe@#Hl(!#;$"1^f2"R77t)!#;7$$"1m;H#=?#zw!#;$"1B*)e&zSOu)!#;7$$"1***\i?=bq(!#;$"1Xk_wOX\()!#;7$$"1;/^J$H7t(!#;$"0'H0<#e!\()!#:7$$"1L3xc/%pv(!#;$"18ES-T,V()!#;7$$"0DJ?e^Ey(!#:$"1h?GBvsJ()!#;7$$"1m;H2FO3y!#;$"1T#)*yX\cr)!#;7$$"1*\7y&\yfy!#;$"1P!=.'z7r')!#;7$$"1LLL3s?6z!#;$"0CMy1CQh)!#:7$$"1m;zpe()=!)!#;$"1t$=&4Q<u%)!#;7$$"-DJXaE")!#7$"1z)RxGIpM)!#;7$$"1mT5!R$Ry")!#;$"1ybzm]C.$)!#;7$$"1L$e*[ACI#)!#;$"1UP/emaw#)!#;7$$"1;aQym;c#)!#;$"1D+8[&)\q#)!#;7$$"1*\7y5"4#G)!#;$"1*)oB:plp#)!#;7$$"1%eRs`:!3$)!#;$"1Bng]E;u#)!#;7$$"1nmmm*RRL)!#;$"1(yeRMcSG)!#;7$$"1nmTge)*R%)!#;$"1k*oPg6tP)!#;7$$"1mm;a<.Y&)!#;$"0;j'H?YJ&)!#:7$$"1L3FWch)f)!#;$"1D5X7j68')!#;7$$".vV`*>^')!#8$"1<9b1B!\o)!#;7$$"1%3F%z9\x')!#;$"1m&[4eqLr)!#;7$$"1n"zWU$y.()!#;$"0`,`ZRZt)!#:7$$"1\7`p`2I()!#;$"0yUmXFtu)!#:7$$"1LLe9tOc()!#;$"1&\o="[U\()!#;7$$"1;/^")o_!y)!#;$"1uo.vYjS()!#;7$$"/vV[ko/))!#9$"1yMI%yK-s)!#;7$$"1$ek`,Y)G))!#;$"1#*z!)4<&po)!#;7$$"1m;H#e0I&))!#;$"1-1XHzeR')!#;7$$"1Le9;ZK,*)!#;$"1<Y/XvE)\)!#;7$$"*&Qk\*)!"*$"1x#*e8()*))G)!#;7$$"1L$3-.B]+*!#;$"0^"z`mXfz!#:7$$"1nmT5ASg!*!#;$"1C%3J4UQ`(!#;7$$".D1R"y:"*!#8$"1L0u_'Q&>q!#;7$$"1LL$3dg6<*!#;$"1'yK/<VTV'!#;7$$"1n;zpBp?#*!#;$"1^Nhp7)Q(e!#;7$$"-voTAq#*!#7$"1EXem(y!4`!#;7$$"1L$3x'fv>$*!#;$"28L\,*3qwZ!#<7$$"1mmmmxGp$*!#;$"1O>r"\+1K%!#;7$$"/DJ&**)4A%*!#9$"0.Oo!=ItR!#:7$$"1L$eRA5\Z*!#;$"1&)=5\e9HQ!#;7$$"1mTg_9sF&*!#;$"2ZV4W6NQ%R!#<7$$"-D"oK0e*!#7$"1)>l]"o6dV!#;7$$"1,vVBi!eg*!#;$"1&y3"*HaZm%!#;7$$".Dcwz5j*!#8$"1')[++ixS]!#;7$$"/D"yI`jl*!#9$"1jo<a99za!#;7$$"*&oi"o*!"*$"1<ADcQwpf!#;7$$"1,v=#R+pq*!#;$"1&)RJ,"zw\'!#;7$$".vV$R<K(*!#8$"1%RD`>+@/(!#;7$$"/DcwuWd(*!#9$"1JIq)3]`d(!#;7$$"-v=5s#y*!#7$"0W;i^f;1)!#:7$$"1^iS"*3))4)*!#;$"1QP8,"f+[)!#;7$$"/D1k2/P)*!#9$"1t=7)o%e@()!#;7$$"1ilAK2$Q%)*!#;$"0'4Lbr]W()!#:7$$"1C1R+2i])*!#;$"0$>mueY\()!#:7$$"1(oa&o1Td)*!#;$"1\K%)3R$[t)!#;7$$"0v=nj+U')*!#:$"1jM0'[,*)p)!#;7$$"1vo/t0yx)*!#;$"1%p<!)zjeb)!#;7$$".v$40O"*)*!#8$"0a[W*4!\I)!#:7$$"1DJqX/%\!**!#;$"1["=3]L!Hz!#;7$$"1^7.#Q?&=**!#;$"12FplWk4u!#;7$$"1w$f$=.5K**!#;$"1M_,DTOEn!#;7$$"/voa-oX**!#9$"1Mg)RxZp&e!#;7$$"1i:&GAqC&**!#;$"1p6@8H%\M&!#;7$$"1Cc,">g#f**!#;$"0CY71Zrx%!#:7$$"1(oz"f,0m**!#;$"1e8VXQ>]T!#;7$$"0vVt7SG(**!#:$"1a&R'4VdgM!#;7$$"17y]&4I'z**!#;$"1E1GrAj/F!#;7$$"1v=nj+U')**!#;$"2ls"3d&f&y=!#<7$$"1Pf$=.5K***!#;$"1_#H0:6Ry*!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"0)>M3y6%H(!#:$"13WnKMLLL!#;$"1*zon!*4XF)!#;-%%VIEWG6$;$""!!""$"#5!"";$""!!""$"#"*!"#-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$g%!""-%)BOUNDS_YG6#$"#q!""-%-BOUNDS_WIDTHG6#$"%Sa!""-%.BOUNDS_HEIGHTG6#$"%gQ!""-%)CHILDRENG6"

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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

6+-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2mmmmT:(z@!#=7$$"2NLLe9ui2%!#=$"2NLLe9ui2%!#=7$$"1nmm"z_"4i!#<$"1nmm"z_"4i!#<7$$"1mmmT&phN)!#<$"1mmmT&phN)!#<7$$"2KL$e*=)H\5!#<$"2KL$e*=)H\5!#<7$$"2mm;z/3uC"!#<$"2mm;z/3uC"!#<7$$"2)***\7LRDX"!#<$"2)***\7LRDX"!#<7$$"2lm;zR'ok;!#<$"2lm;zR'ok;!#<7$$"2)***\i5`h(=!#<$"2)***\i5`h(=!#<7$$"2NLL$3En$4#!#<$"2NLL$3En$4#!#<7$$"2nmmT!RE&G#!#<$"2nmmT!RE&G#!#<7$$"+D.&4]#!#5$"+D.&4]#!#57$$"+vB_<F!#5$"+vB_<F!#57$$"+v'Hi#H!#5$"+v'Hi#H!#57$$"2mm;z*ev:J!#<$"2mm;z*ev:J!#<7$$"1LLL347TL!#;$"1LLL347TL!#;7$$"1LLLLY.KN!#;$"1LLLLY.KN!#;7$$"-D"o7Tv$!#7$"-D"o7Tv$!#77$$"1LLL$Q*o]R!#;$"1LLL$Q*o]R!#;7$$"-D"=lj;%!#7$"-D"=lj;%!#77$$"-vV&R<P%!#7$"-vV&R<P%!#77$$"2NLLe9Ege%!#<$"2NLLe9Ege%!#<7$$"2LL$eR"3Gy%!#<$"2LL$eR"3Gy%!#<7$$"2mmmT5k]*\!#<$"2mmmT5k]*\!#<7$$"1mm"zRQb@&!#;$"1mm"zRQb@&!#;7$$"-v=>Y2a!#7$"-v=>Y2a!#77$$"1mm;zXu9c!#;$"1mm;zXu9c!#;7$$"*&y))Ge!"*$"*&y))Ge!"*7$$"1****\i_QQg!#;$"1****\i_QQg!#;7$$"1***\7y%3Ti!#;$"1***\7y%3Ti!#;7$$"1****\P![hY'!#;$"1****\P![hY'!#;7$$"1LLL$Qx$om!#;$"1LLL$Qx$om!#;7$$"+v.I%)o!#5$"+v.I%)o!#57$$"1mm"zpe*zq!#;$"1mm"zpe*zq!#;7$$"+D\'QH(!#5$"+D\'QH(!#57$$"1KLe9S8&\(!#;$"1KLe9S8&\(!#;7$$"1***\i?=bq(!#;$"1***\i?=bq(!#;7$$"1LLL3s?6z!#;$"1LLL3s?6z!#;7$$"-DJXaE")!#7$"-DJXaE")!#77$$"1nmmm*RRL)!#;$"1nmmm*RRL)!#;7$$"1mm;a<.Y&)!#;$"1mm;a<.Y&)!#;7$$"1LLe9tOc()!#;$"1LLe9tOc()!#;7$$"*&Qk\*)!"*$"*&Qk\*)!"*7$$"1LL$3dg6<*!#;$"1LL$3dg6<*!#;7$$"1mmmmxGp$*!#;$"1mmmmxGp$*!#;7$$"-D"oK0e*!#7$"-D"oK0e*!#77$$"-v=5s#y*!#7$"-v=5s#y*!#77$$"#5!""$"#5!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1&R3eB_I#o!#<7$$"2NLLe9ui2%!#=$"1,$[<\O7D"!#;7$$"1nmm"z_"4i!#<$"1&\%[Uubj=!#;7$$"1mmmT&phN)!#<$"1&GC7VK0X#!#;7$$"2KL$e*=)H\5!#<$"1^XllcU0I!#;7$$"2mm;z/3uC"!#<$"125<lrx$\$!#;7$$"2)***\7LRDX"!#<$"2j(\<(HnH(R!#<7$$"2lm;zR'ok;!#<$"2$GDC;'=-W%!#<7$$"2)***\i5`h(=!#<$"2<r5qy0t([!#<7$$"2NLL$3En$4#!#<$"0P$e\N/(H&!#:7$$"2nmmT!RE&G#!#<$"1pMfPlmTc!#;7$$"+D.&4]#!#5$"1mB+J-_,g!#;7$$"+vB_<F!#5$"1'zR_o%*GL'!#;7$$"+v'Hi#H!#5$"11y_CD$Qi'!#;7$$"2mm;z*ev:J!#<$"1NXSK(zQ'o!#;7$$"1LLL347TL!#;$"1yR&4X)R>r!#;7$$"1LLLLY.KN!#;$"1/bKe[U5t!#;7$$"-D"o7Tv$!#7$"0%HZKZG.v!#:7$$"1LLL$Q*o]R!#;$"/-_8JmZw!#97$$"-D"=lj;%!#7$"0lpk&phxx!#:7$$"-vV&R<P%!#7$"19gr:Cpty!#;7$$"2NLLe9Ege%!#<$"1[7Q2-;Xz!#;7$$"2LL$eR"3Gy%!#<$".YE'[!\)z!#87$$"2mmmT5k]*\!#<$"1W$=Q?#****z!#;7$$"1mm"zRQb@&!#;$"1EvoBQ8&)z!#;7$$"-v=>Y2a!#7$"1Vf7J>(o%z!#;7$$"1mm;zXu9c!#;$"1jKw7&o!zy!#;7$$"*&y))Ge!"*$"1h"z#yB9!y(!#;7$$"1****\i_QQg!#;$"1*H>\$>'\l(!#;7$$"1***\7y%3Ti!#;$"1'))R5u1r](!#;7$$"1****\P![hY'!#;$"1pJGy687t!#;7$$"1LLL$Qx$om!#;$"1$=q,T&G4r!#;7$$"+v.I%)o!#5$"1cz'4(="Q'o!#;7$$"1mm"zpe*zq!#;$"1euy!)pg:m!#;7$$"+D\'QH(!#5$"1>N(ey=iJ'!#;7$$"1KLe9S8&\(!#;$"1khw**zx2g!#;7$$"1***\i?=bq(!#;$"1JzS&zawl&!#;7$$"1LLL3s?6z!#;$"1ut%)G#fzG&!#;7$$"-DJXaE")!#7$"0V:T<5>([!#:7$$"1nmmm*RRL)!#;$"2E0sb<]JW%!#<7$$"1mm;a<.Y&)!#;$"1O8]:3@wR!#;7$$"1LLe9tOc()!#;$"2(*fP8Z0Z[$!#<7$$"*&Qk\*)!"*$"2uH5mI+"3I!#<7$$"1LL$3dg6<*!#;$"2%4TaPUXKC!#<7$$"1mmmmxGp$*!#;$"1X#e="Q)4*=!#;7$$"-D"oK0e*!#7$"2)=-#R^!*fG"!#<7$$"-v=5s#y*!#7$"1tAy,\&=!o!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6$7io7$$""!!""$""!!""7$$"1mmmT&)G\a!#=$"1cIn()yT`a!#<7$$"2LLL$3x&)*3"!#=$"2G#*yLetd1"!#<7$$",Dc'yM;!#7$"1@;Ol7#>c"!#;7$$"2mmmmT:(z@!#=$"2EYe;y.W.#!#<7$$"-D"y%*z7$!#8$"14$f$G^+-G!#;7$$"2NLLe9ui2%!#=$"2C8W44nH]$!#<7$$"-voMrU^!#8$"22u0O=Hb@%!#<7$$"1nmm"z_"4i!#<$"2;z*o')H2_[!#<7$$"1nmmm6m#G(!#<$"1,DG]&R.U&!#;7$$"1mmmT&phN)!#<$"0ZVq$)o+#f!#:7$$"-v=ddC%*!#8$"1J>**e=W`j!#;7$$"2KL$e*=)H\5!#<$"1Jl#>VNps'!#;7$$"2)***\(=JN[6!#<$"1iq7ex1Bq!#;7$$"2mm;z/3uC"!#<$"12())po8SF(!#;7$$"2)***\7LRDX"!#<$"1P\uC_Yiw!#;7$$"1LLekGhe:!#;$"1Fw!\!eQ+y!#;7$$"2lm;zR'ok;!#<$"1UvwOjs**y!#;7$$"1LL3_(>/x"!#;$"13(zsN:N'z!#;7$$"2)***\i5`h(=!#<$"1h;jhF=&*z!#;7$$"2mm"HdG"\)>!#<$"1'z%*zT_t*z!#;7$$"2NLL$3En$4#!#<$"0H)[T[wrz!#:7$$"-Dc#o%*=#!#7$"1*[X(**4iGz!#;7$$"2nmmT!RE&G#!#<$"/0X(\W#oy!#97$$"+D.&4]#!#5$"1[dg7j-zw!#;7$$"+vB_<F!#5$"1T!zDO&[Ju!#;7$$"+v'Hi#H!#5$"139LQP@cr!#;7$$"2mm;z*ev:J!#<$"16@!)\ZI))o!#;7$$"1LLL347TL!#;$"1T+&f13Ec'!#;7$$"1LLLLY.KN!#;$"1/,pJ)>=H'!#;7$$"-D"o7Tv$!#7$"1APTv4u%*f!#;7$$"1LLL$Q*o]R!#;$"1Xu$>hhnv&!#;7$$"-D"=lj;%!#7$"1JB!Q4]6`&!#;7$$"-vV&R<P%!#7$"1.S&zS0uN&!#;7$$"2NLLe9Ege%!#<$"1vX"H.IVA&!#;7$$"2LL$eR"3Gy%!#<$"1DZ]Z(4*[^!#;7$$".v=7O*))[!#8$"1n^!=vtv7&!#;7$$"2mmmT5k]*\!#<$"0L\'o\,?^!#:7$$"1m;/^7I0^!#;$"1#3&\b'3o7&!#;7$$"1mm"zRQb@&!#;$"1Tl\PBZ[^!#;7$$"-v=>Y2a!#7$"1eM*Gm-6A&!#;7$$"1mm;zXu9c!#;$"1V3iR'3vM&!#;7$$"*&y))Ge!"*$"18)ySnem_&!#;7$$"1****\i_QQg!#;$"1j9szmPWd!#;7$$"1***\7y%3Ti!#;$"1b.\_Ih))f!#;7$$"1****\P![hY'!#;$"1%[6E"eH*G'!#;7$$"1LLL$Qx$om!#;$"1C=q=GHwl!#;7$$"+v.I%)o!#5$"1cW3*p&Q))o!#;7$$"1mm"zpe*zq!#;$"1m=w10ukr!#;7$$"+D\'QH(!#5$"1k$oWz@cW(!#;7$$"1KLe9S8&\(!#;$"1R*>5s-]n(!#;7$$"1***\i?=bq(!#;$"1CYUaofhy!#;7$$"1m;H2FO3y!#;$"1-8=%GPu#z!#;7$$"1LLL3s?6z!#;$"0#pSMaYtz!#:7$$"1m;zpe()=!)!#;$"1w*o6;hx*z!#;7$$"-DJXaE")!#7$"1b:))e(\Z*z!#;7$$"1L$e*[ACI#)!#;$"12B>K!>K'z!#;7$$"1nmmm*RRL)!#;$"1h5PZQx+z!#;7$$"1nmTge)*R%)!#;$"1bh3([U>!y!#;7$$"1mm;a<.Y&)!#;$"1R^#e#Qfkw!#;7$$"1LLe9tOc()!#;$"1a)\sRU_E(!#;7$$"1m;H#e0I&))!#;$"1=A])>=$>q!#;7$$"*&Qk\*)!"*$"1$orcRZ.t'!#;7$$"1nmT5ASg!*!#;$"1jl^Q"REM'!#;7$$"1LL$3dg6<*!#;$"1NBY-oY!*e!#;7$$"-voTAq#*!#7$"1XqoWG$yU&!#;7$$"1mmmmxGp$*!#;$"1/#*Rpe)o!\!#;7$$"1L$eRA5\Z*!#;$"2j?:e4'\$G%!#<7$$"-D"oK0e*!#7$"13!R>tife$!#;7$$".Dcwz5j*!#8$"1\T9.VpCK!#;7$$"*&oi"o*!"*$"1\(o[)z,XG!#;7$$".vV$R<K(*!#8$"2K5s'[3YYC!#<7$$"-v=5s#y*!#7$"1\YBK[aG?!#;7$$"/D1k2/P)*!#9$"2t\k'GZId:!#<7$$".v$40O"*)*!#8$"2mp3pxVD1"!#<7$$"/voa-oX**!#9$"1*)ouk&)[Oa!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%'CURVESG6$7gq7$$""!!""$""!!""7$$"2mm;a8ABO"!#>$"1)4D?m-qP%!#<7$$"1LL$3FWYs#!#=$"1<,uel"He)!#<7$$"-D1k'p3%!#9$"2a;&e64Ai7!#<7$$"1mmmT&)G\a!#=$"2A3^2ZE*\;!#<7$$",D"G$R<)!#8$"1'Q7()Qz$yB!#;7$$"2LLL$3x&)*3"!#=$"1"[$)3+'*p/$!#;7$$"2mm;a8ABO"!#=$"1ZNt<g**eO!#;7$$",Dc'yM;!#7$"1cnhwmZ<U!#;7$$"2LL$e*)4D2>!#=$"2$4KJ&3;as%!#<7$$"2mmmmT:(z@!#=$"1yEK-ln&=&!#;7$$"2LLe*)4bQl#!#=$"0&)yFF_5)e!#:7$$"-D"y%*z7$!#8$"1#>dT$>-ak!#;7$$"1n;ajW8-O!#<$"1:eQw!Qt"p!#;7$$"2NLLe9ui2%!#=$"1$>X,fXGG(!#;7$$"-voMrU^!#8$"1KABsP2.y!#;7$$"1nmm"z_"4i!#<$"1*f%fJw*H*z!#;7$$"1mmT&))HvZ'!#<$"1s#*e)z*****z!#;7$$"1mm;zp!fu'!#<$"1v3kW)oK*z!#;7$$"1mm"H2%G9q!#<$"11CFpL.uz!#;7$$"1nmmm6m#G(!#<$"1e)*)>pgM%z!#;7$$"1nm;a`T>y!#<$"1Kkh)oyE&y!#;7$$"1mmmT&phN)!#<$"1sCBn96Hx!#;7$$"-v=ddC%*!#8$"06&)HWAQT(!#:7$$"2KL$e*=)H\5!#<$"1`hY%3ic/(!#;7$$"2mm;z/3uC"!#<$"1oTWgdBXj!#;7$$"2)***\7LRDX"!#<$"1Ywkc#4;t&!#;7$$"1LLekGhe:!#;$"1'*\(**e30\&!#;7$$"2lm;zR'ok;!#<$"1TT*\*yI4`!#;7$$"2)*****\2`vr"!#<$"1MRIC"**=C&!#;7$$"1LL3_(>/x"!#;$"1XNp_Xi*=&!#;7$$"2kmm"HkGB=!#<$"1'*Qf])3A:&!#;7$$"2)***\i5`h(=!#<$"1`e"=nT#H^!#;7$$"2lT5S/VL!>!#<$"1y>Pr"))G7&!#;7$$"2L$3x")H`I>!#<$"1dY.%yO,7&!#;7$$"0DJ&>Hsd>!#:$"1Dw$*>"**37&!#;7$$"2mm"HdG"\)>!#<$"1Q!\V6"3D^!#;7$$"/D"Gt#HR?!#9$"1$\(>rFIV^!#;7$$"2NLL$3En$4#!#<$"10hg#RcR<&!#;7$$"-Dc#o%*=#!#7$"19>v#H<aD&!#;7$$"2nmmT!RE&G#!#<$"1y."4_:uO&!#;7$$"+D.&4]#!#5$"1PrBl<I.d!#;7$$"+vB_<F!#5$"1P/5e773h!#;7$$"+v'Hi#H!#5$"1')=oSvB7l!#;7$$"2mm;z*ev:J!#<$"1K***\lx*eo!#;7$$"1LLL347TL!#;$"1>HJI>k=s!#;7$$"1LLLLY.KN!#;$"1)o%=([%)fY(!#;7$$"-D"o7Tv$!#7$"1ZlQDpN$o(!#;7$$"1LLL$Q*o]R!#;$"14L1'zRn"y!#;7$$"-D"=lj;%!#7$"12K"\Y@(4z!#;7$$"-vV&R<P%!#7$"1tozRO7fz!#;7$$"2NLLe9Ege%!#<$"19kiJj*Q)z!#;7$$"2LL$eR"3Gy%!#<$"1&QrQG/H*z!#;7$$"2mmmT5k]*\!#<$"1LgL]3R&*z!#;7$$"1mm"zRQb@&!#;$"0Y*z3f%H*z!#:7$$"-v=>Y2a!#7$"1bw)fNcV)z!#;7$$"1mm;zXu9c!#;$"1RW_ygNhz!#;7$$"*&y))Ge!"*$"1:c70=C6z!#;7$$"1****\i_QQg!#;$"1#zzZ2*oAy!#;7$$"1***\7y%3Ti!#;$"1DEQahC(o(!#;7$$"1****\P![hY'!#;$"1'RE%=#p!ou!#;7$$"1LLL$Qx$om!#;$"1**o!RI'*[?(!#;7$$"+v.I%)o!#5$"1fyZC)z)eo!#;7$$"1mm"zpe*zq!#;$"1,IGKvW+l!#;7$$"+D\'QH(!#5$"1G[H#*)eg3'!#;7$$"1KLe9S8&\(!#;$"1'\6;M&>5d!#;7$$"1***\i?=bq(!#;$"1s!z;I/'z`!#;7$$"1m;H2FO3y!#;$"1k#*4.bjd_!#;7$$"1LLL3s?6z!#;$"1ERKf5sq^!#;7$$"/D1R:/lz!#9$"1o#e)GHQT^!#;7$$"1m;zpe()=!)!#;$"1(y(empHC^!#;7$$"0Dc^.$zX!)!#:$"0Eyi)fg?^!#:7$$"1L3_+-rs!)!#;$"1<yw='y-7&!#;7$$"1;a)eOF'*4)!#;$"0y9IZ0M7&!#:7$$"-DJXaE")!#7$"1Ps8U;2I^!#;7$$"1mT5!R$Ry")!#;$"1>]:uH<`^!#;7$$"1L$e*[ACI#)!#;$"1_5_\l=!>&!#;7$$"1*\7y5"4#G)!#;$"0iV;$p\T_!#:7$$"1nmmm*RRL)!#;$"1*e]wajtI&!#;7$$"1nmTge)*R%)!#;$"1k'*pbyr([&!#;7$$"1mm;a<.Y&)!#;$"1c)zyr!)zs&!#;7$$"1LLe9tOc()!#;$"1cX9-m(zN'!#;7$$"*&Qk\*)!"*$"17N*[K()=/(!#;7$$"1nmT5ASg!*!#;$"1A:*fWUJU(!#;7$$"1LL$3dg6<*!#;$"1,!)eR?EYx!#;7$$"1n;zpBp?#*!#;$"1FRX&ohz&y!#;7$$"-voTAq#*!#7$"1OAC)*oUTz!#;7$$"1m"H#o+*\H*!#;$"1[1DNTeqz!#;7$$"1L$3x'fv>$*!#;$"1#*)>JW;-*z!#;7$$"/v=n=_W$*!#9$"13<7mYT**z!#;7$$"1mmmmxGp$*!#;$"1&QyF_Ds*z!#;7$$"1L$eRA5\Z*!#;$"1U@p*3>d$y!#;7$$"-D"oK0e*!#7$"1u5X`&f,O(!#;7$$".Dcwz5j*!#8$"1svY)p_9*p!#;7$$"*&oi"o*!"*$"1tui/o$R^'!#;7$$".vV$R<K(*!#8$"1%RVo4?M"f!#;7$$"-v=5s#y*!#7$"1*Q2&R`au^!#;7$$"1^iS"*3))4)*!#;$"1')=#HyZYr%!#;7$$"/D1k2/P)*!#9$"1M<*fw6t?%!#;7$$"0v=nj+U')*!#:$"2ad*\"*)*p\O!#<7$$".v$40O"*)*!#8$"2;m'><.')QI!#<7$$"1^7.#Q?&=**!#;$"2u"4@ENsrB!#<7$$"/voa-oX**!#9$"2&3ARN!*4X;!#<7$$"1Cc,">g#f**!#;$"2y-Mc(zWe7!#<7$$"0vVt7SG(**!#:$"1*y"e3/sc&)!#<7$$"1v=nj+U')**!#;$"2c)\-Z*oLO%!#=7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%%VIEWG6$;$""!!""$"#5!"";$""!!""$""*!""-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$I%!""-%)BOUNDS_YG6#$"$?"!""-%-BOUNDS_WIDTHG6#$"%!\$!""-%.BOUNDS_HEIGHTG6#$"%gM!""-%)CHILDRENG6"

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

JCIjTiEiIg==

JCIiIiEiIg==

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

JCIrIzNVKTNdISM1

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

Yes, we have 4 periods now. So, now, I'm skipping forward, and wondering how to get period 8, or even chaos. 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

JCIkYiQhIiM=

JCIiIiEiIg==

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

Well, I'm unsure how many periods that is. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVElcGxvdEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYtLUY2NiYtRiM2Ly1GLDYlUSJ4RidGL0YyLUkjbW9HRiQ2LVEiLEYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0ZJLyUqc3ltbWV0cmljR0ZJLyUobGFyZ2VvcEdGSS8lLm1vdmFibGVsaW1pdHNHRkkvJSdhY2NlbnRHRkkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GLDYlUSJmRidGL0YyLUY2NiQtRiM2I0Y+RkVGQS1GLDYlUSJnRidGL0YyRmluRkEtRiw2JVEkcHQzRidGL0YyRmluRkEtRiw2JVEkcHQ0RidGL0YyRmluRkUvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGQUY+LUZCNi1RIj1GJ0ZFRkcvRktGSUZMRk5GUEZSRlQvRldRLDAuMjc3Nzc3OGVtRicvRlpGYXAtSSNtbkdGJDYkUSIwRidGRS1GQjYtUSMuLkYnRkVGR0ZfcEZMRk5GUEZSRlQvRldRLDAuMjIyMjIyMmVtRicvRlpGWC1GZHA2JFEiMUYnRkVGQUZjcEZncC1GZHA2JFElMC45MUYnRkVGRS1GQjYtUSI7RidGRUZHRkpGTEZORlBGUkZURlZGYnA=

6,-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2mmmmT:(z@!#=7$$"2NLLe9ui2%!#=$"2NLLe9ui2%!#=7$$"1nmm"z_"4i!#<$"1nmm"z_"4i!#<7$$"1mmmT&phN)!#<$"1mmmT&phN)!#<7$$"2KL$e*=)H\5!#<$"2KL$e*=)H\5!#<7$$"2mm;z/3uC"!#<$"2mm;z/3uC"!#<7$$"2)***\7LRDX"!#<$"2)***\7LRDX"!#<7$$"2lm;zR'ok;!#<$"2lm;zR'ok;!#<7$$"2)***\i5`h(=!#<$"2)***\i5`h(=!#<7$$"2NLL$3En$4#!#<$"2NLL$3En$4#!#<7$$"2nmmT!RE&G#!#<$"2nmmT!RE&G#!#<7$$"+D.&4]#!#5$"+D.&4]#!#57$$"+vB_<F!#5$"+vB_<F!#57$$"+v'Hi#H!#5$"+v'Hi#H!#57$$"2mm;z*ev:J!#<$"2mm;z*ev:J!#<7$$"1LLL347TL!#;$"1LLL347TL!#;7$$"1LLLLY.KN!#;$"1LLLLY.KN!#;7$$"-D"o7Tv$!#7$"-D"o7Tv$!#77$$"1LLL$Q*o]R!#;$"1LLL$Q*o]R!#;7$$"-D"=lj;%!#7$"-D"=lj;%!#77$$"-vV&R<P%!#7$"-vV&R<P%!#77$$"2NLLe9Ege%!#<$"2NLLe9Ege%!#<7$$"2LL$eR"3Gy%!#<$"2LL$eR"3Gy%!#<7$$"2mmmT5k]*\!#<$"2mmmT5k]*\!#<7$$"1mm"zRQb@&!#;$"1mm"zRQb@&!#;7$$"-v=>Y2a!#7$"-v=>Y2a!#77$$"1mm;zXu9c!#;$"1mm;zXu9c!#;7$$"*&y))Ge!"*$"*&y))Ge!"*7$$"1****\i_QQg!#;$"1****\i_QQg!#;7$$"1***\7y%3Ti!#;$"1***\7y%3Ti!#;7$$"1****\P![hY'!#;$"1****\P![hY'!#;7$$"1LLL$Qx$om!#;$"1LLL$Qx$om!#;7$$"+v.I%)o!#5$"+v.I%)o!#57$$"1mm"zpe*zq!#;$"1mm"zpe*zq!#;7$$"+D\'QH(!#5$"+D\'QH(!#57$$"1KLe9S8&\(!#;$"1KLe9S8&\(!#;7$$"1***\i?=bq(!#;$"1***\i?=bq(!#;7$$"1LLL3s?6z!#;$"1LLL3s?6z!#;7$$"-DJXaE")!#7$"-DJXaE")!#77$$"1nmmm*RRL)!#;$"1nmmm*RRL)!#;7$$"1mm;a<.Y&)!#;$"1mm;a<.Y&)!#;7$$"1LLe9tOc()!#;$"1LLe9tOc()!#;7$$"*&Qk\*)!"*$"*&Qk\*)!"*7$$"1LL$3dg6<*!#;$"1LL$3dg6<*!#;7$$"1mmmmxGp$*!#;$"1mmmmxGp$*!#;7$$"-D"oK0e*!#7$"-D"oK0e*!#77$$"-v=5s#y*!#7$"-v=5s#y*!#77$$"#5!""$"#5!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1P**4uNKpv!#<7$$"2NLLe9ui2%!#=$"28FLI[!4)Q"!#<7$$"1nmm"z_"4i!#<$"2kBcx.%Qn?!#<7$$"1mmmT&phN)!#<$"20W*)eTf&=F!#<7$$"2KL$e*=)H\5!#<$"1<b$y4WTL$!#;7$$"2mm;z/3uC"!#<$"2be6E/4f(Q!#<7$$"2)***\7LRDX"!#<$"2$*[.`f5vS%!#<7$$"2lm;zR'ok;!#<$"1aSRFv'e#\!#;7$$"2)***\i5`h(=!#<$"12]Y26w5a!#;7$$"2NLL$3En$4#!#<$"00>yo2k(e!#:7$$"2nmmT!RE&G#!#<$"1bF9:Qsei!#;7$$"+D.&4]#!#5$"1\#oi]Ozl'!#;7$$"+vB_<F!#5$"1)*yVT]bDq!#;7$$"+v'Hi#H!#5$"1L!)*o?9$[t!#;7$$"2mm;z*ev:J!#<$"1"GO"ylh9w!#;7$$"1LLL347TL!#;$"1oq_cE3)*y!#;7$$"1LLLLY.KN!#;$"1b[?xD+5")!#;7$$"-D"o7Tv$!#7$"1nr3+l&RK)!#;7$$"1LLL$Q*o]R!#;$"0ZhlEET[)!#:7$$"-D"=lj;%!#7$"1<N36QHG')!#;7$$"-vV&R<P%!#7$"1_\oBv([t)!#;7$$"2NLLe9Ege%!#<$"1rN10@;9))!#;7$$"2LL$eR"3Gy%!#<$"10z*>$QDe))!#;7$$"2mmmT5k]*\!#<$"1v46^8*\())!#;7$$"1mm"zRQb@&!#;$"1\LlNy]e))!#;7$$"-v=>Y2a!#7$"1TGf[51;))!#;7$$"1mm;zXu9c!#;$"1WnMJ;%3u)!#;7$$"*&y))Ge!"*$"1VM!4X&4J')!#;7$$"1****\i_QQg!#;$"1'4^lRBA\)!#;7$$"1***\7y%3Ti!#;$"1B6%3a'>G$)!#;7$$"1****\P![hY'!#;$"0*y!f_&*=6)!#:7$$"1LLL$Qx$om!#;$"1Yv!>]jo)y!#;7$$"+v.I%)o!#5$"1v]N%HTXh(!#;7$$"1mm"zpe*zq!#;$"1'36V**)=Rt!#;7$$"+D\'QH(!#5$"1M%yb@bq+(!#;7$$"1KLe9S8&\(!#;$"1)e!\=(y[m'!#;7$$"1***\i?=bq(!#;$"1tcl)ygkF'!#;7$$"1LLL3s?6z!#;$"1bD]p(Hj'e!#;7$$"-DJXaE")!#7$"10$4%\`x/a!#;7$$"1nmmm*RRL)!#;$"1X_-E(>"H\!#;7$$"1mm;a<.Y&)!#;$"1%zYM()36T%!#;7$$"1LLe9tOc()!#;$"2%\^EK^%e'Q!#<7$$"*&Qk\*)!"*$"2%)zXwF6rL$!#<7$$"1LL$3dg6<*!#;$"1'\v(>R])p#!#;7$$"1mmmmxGp$*!#;$"2/C!Gm,"y4#!#<7$$"-D"oK0e*!#7$"2EC!QEdkE9!#<7$$"-v=5s#y*!#7$"13Zm"y2ea(!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6$7dp7$$""!!""$""!!""7$$"1mmmT&)G\a!#=$"1u_jrgj)p'!#<7$$"2LLL$3x&)*3"!#=$"2Jp*Gsc`18!#<7$$",Dc'yM;!#7$"1PrED2(3">!#;7$$"2mmmmT:(z@!#=$"2)=S/GQr$[#!#<7$$"2LLe*)4bQl#!#=$"2.)G<i4<dH!#<7$$"-D"y%*z7$!#8$"1H*3`)R'zS$!#;7$$"1n;ajW8-O!#<$"2:P#4g?jOQ!#<7$$"2NLLe9ui2%!#=$"2m.UE#*3PC%!#<7$$"-voMrU^!#8$"1GMt'eRJ3&!#;7$$"1nmm"z_"4i!#<$"1XvQ%3;>#e!#;7$$"1nmmm6m#G(!#<$"1n)=1!\xpk!#;7$$"1mmmT&phN)!#<$"0^;dCNs-(!#:7$$"-v=ddC%*!#8$"1#oD/fXy\(!#;7$$"2KL$e*=)H\5!#<$"1MW>g![)*)y!#;7$$"2mm;z/3uC"!#<$"1\(G%H*GkU)!#;7$$"1LLe*ot*\8!#;$"0jKrxbdh)!#:7$$"2)***\7LRDX"!#<$"1T%*Q)[z.v)!#;7$$"2mm;z4wb]"!#<$"1^FS3K"**z)!#;7$$"1LLekGhe:!#;$"1;^`\/]O))!#;7$$"2)***\7j\;h"!#<$"18IODnpg))!#;7$$"2lm;zR'ok;!#<$"1"RfO0\I())!#;7$$"2)*****\2`vr"!#<$"0"G+.,6u))!#:7$$"1LL3_(>/x"!#;$"1>C*[3jW'))!#;7$$"2kmm"HkGB=!#<$"1:*y&oXiW))!#;7$$"2)***\i5`h(=!#<$"184(ft-^"))!#;7$$"2mm"HdG"\)>!#<$"1'4kPjLgs)!#;7$$"2NLL$3En$4#!#<$"1U(za*yK-')!#;7$$"2nmmT!RE&G#!#<$"1DL!o4VDJ)!#;7$$"+D.&4]#!#5$"1x*>@_#>**y!#;7$$"+vB_<F!#5$"1eu![+![=u!#;7$$"+v'Hi#H!#5$"10n"pBCt"p!#;7$$"2mm;z*ev:J!#<$"/R,`>9[k!#97$$"1LLL347TL!#;$"0kd^]'R$*e!#:7$$"1LLLLY.KN!#;$"1.;F4))RTa!#;7$$"-D"o7Tv$!#7$"2``i3=;F&\!#<7$$"1LLL$Q*o]R!#;$"2C.Bjx1cc%!#<7$$"-D"=lj;%!#7$"1J3EFof,U!#;7$$"-vV&R<P%!#7$"2;!4\3\*H#R!#<7$$"2NLLe9Ege%!#<$"1Xa))R%>0r$!#;7$$"2OL3F9<Wo%!#<$"11'pey!GTO!#;7$$"2LL$eR"3Gy%!#<$"2Y3&flkU!f$!#<7$$".v=7O*))[!#8$"16Yz:S\cN!#;7$$"2mmmT5k]*\!#<$"1w$H-#pZWN!#;7$$"1m;/^7I0^!#;$"1pt")\vFbN!#;7$$"1mm"zRQb@&!#;$"12;=N1t*e$!#;7$$"1LLLe,]6`!#;$"1a&zXy-)QO!#;7$$"-v=>Y2a!#7$"2(Q91;dP0P!#<7$$"1mm;zXu9c!#;$"1w*f1)o;2R!#;7$$"*&y))Ge!"*$"1`?QonP%>%!#;7$$"1****\i_QQg!#;$"1*HY2R`ba%!#;7$$"1***\7y%3Ti!#;$"2/GkQE.F%\!#<7$$"1****\P![hY'!#;$"1L7s8x@Pa!#;7$$"1LLL$Qx$om!#;$"1023)yOk"f!#;7$$"+v.I%)o!#5$"1#zRhq"G[k!#;7$$"1mm"zpe*zq!#;$"1KtNr"4D$p!#;7$$"+D\'QH(!#5$"1*)[PBR'\W(!#;7$$"1KLe9S8&\(!#;$"1%e9F\.5*y!#;7$$"1***\i?=bq(!#;$"16P`))*zlH)!#;7$$"1LLL3s?6z!#;$"1X"=$>Gc3')!#;7$$"1m;zpe()=!)!#;$"1LQ">'GuH()!#;7$$"-DJXaE")!#7$"1`7O0d$o"))!#;7$$"1mT5!R$Ry")!#;$"1dJY]lSX))!#;7$$"1L$e*[ACI#)!#;$"1-pFlzkk))!#;7$$"1*\7y5"4#G)!#;$"14"zDQ!3u))!#;7$$"1nmmm*RRL)!#;$"0D+`Z;K())!#:7$$"1n;a8H'pQ)!#;$"0jE$o$o6'))!#:7$$"1nmTge)*R%)!#;$"1$3MWn'HP))!#;7$$"1n;H2)3I\)!#;$"1QA`E]0,))!#;7$$"1mm;a<.Y&)!#;$"1\(y0d))=v)!#;7$$".vV`*>^')!#8$"1/Q#HY2Rh)!#;7$$"1LLe9tOc()!#;$"1QwF@4O=%)!#;7$$"1m;H#e0I&))!#;$"1sD_:m&R=)!#;7$$"*&Qk\*)!"*$"0')e%*QaL*y!#:7$$"1nmT5ASg!*!#;$"1B+mDkH'[(!#;7$$"1LL$3dg6<*!#;$"0\7k51Y*p!#:7$$"-voTAq#*!#7$"1P$e(*3G#yk!#;7$$"1mmmmxGp$*!#;$"1bS,I%R\)e!#;7$$"1L$eRA5\Z*!#;$"1YuP:Tdi^!#;7$$"-D"oK0e*!#7$"18s\GW0UV!#;7$$".Dcwz5j*!#8$"1LB'Gm()H"R!#;7$$"*&oi"o*!"*$"2DK+Cc#\fM!#<7$$".vV$R<K(*!#8$"2P?`uUB4)H!#<7$$"-v=5s#y*!#7$"2%pY'*[viwC!#<7$$"/D1k2/P)*!#9$"2&zF'=Eg_!>!#<7$$".v$40O"*)*!#8$"2A:w1(Gf-8!#<7$$"/voa-oX**!#9$"19MQ%o#)yn'!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%'CURVESG6$7hs7$$""!!""$""!!""7$$"2mm;a8ABO"!#>$"2vTLlMEQ&f!#=7$$"1LL$3FWYs#!#=$"2AIt6A)4j6!#<7$$"-D1k'p3%!#9$"2e-G%z*[Rq"!#<7$$"1mmmT&)G\a!#=$"2Zw)*3=@(=A!#<7$$"1LL3x1h6o!#=$"0$H-r`=3F!#:7$$",D"G$R<)!#8$"0'yU*e'4tJ!#:7$$"1mm"z%\DO&*!#=$"1*pn!)e%>9O!#;7$$"2LLL$3x&)*3"!#=$"2amvs//A.%!#<7$$"2mm;a8ABO"!#=$"1TSW#*>y,[!#;7$$",Dc'yM;!#7$"1()e,:XL([&!#;7$$"2LL$e*)4D2>!#=$"1hooS!QT4'!#;7$$"2mmmmT:(z@!#=$"12Az%)yCFm!#;7$$"2LLe*)4bQl#!#=$"1nYQ!eJNR(!#;7$$"-D"y%*z7$!#8$"1NRTrXAvz!#;7$$"1n;ajW8-O!#<$"1b-#z8MXR)!#;7$$"2NLLe9ui2%!#=$"1,'R7X[>n)!#;7$$"20]il(R)GM%!#=$"1b*RfU_Fx)!#;7$$"1n;H2Q\4Y!#<$"1HqE&4>y$))!#;7$$"1L3-QO5w[!#<$"1VT)G)f8q))!#;7$$"-voMrU^!#8$"1<oBshas))!#;7$$"2ML3-8Lfn&!#=$"0Yzm4C$)z)!#:7$$"1nmm"z_"4i!#<$"1#*)HB:"=N')!#;7$$"1nmmm6m#G(!#<$"1NjB=a63")!#;7$$"1mmmT&phN)!#<$"1wixEE1;u!#;7$$"-v=ddC%*!#8$"1'zo#HC2gm!#;7$$"2KL$e*=)H\5!#<$"1;;4diJ5f!#;7$$"2)***\(=JN[6!#<$"1%y9D[VyE&!#;7$$"2mm;z/3uC"!#<$"2Xo35g_rq%!#<7$$"1LLe*ot*\8!#;$"2X'o%o5SQB%!#<7$$"2)***\7LRDX"!#<$"1_!R51-=)Q!#;7$$"2mm;z4wb]"!#<$"1T_0hT.\P!#;7$$"1LLekGhe:!#;$"2E[an#)[)\O!#<7$$"2jm;zCJ^e"!#<$"16^d<Mq7O!#;7$$"2)***\7j\;h"!#<$"2W"Q9#QKPe$!#<7$$"2LL$e9!o"Q;!#<$"1vyJNp"Gc$!#;7$$"2lm;zR'ok;!#<$"2Xd@\J>)\N!#<7$$"1L$ekt>6p"!#;$"1h/%3w)eWN!#;7$$"2)*****\2`vr"!#<$"1.J)H<,pa$!#;7$$"2mmTNT')Ru"!#<$"1T"QF.slb$!#;7$$"1LL3_(>/x"!#;$"1RQD)R.Md$!#;7$$"2kmm"HkGB=!#<$"1%=rR)fpFO!#;7$$"2)***\i5`h(=!#<$"1uaYX=(zq$!#;7$$"2mm"HdG"\)>!#<$"1Z3#G/>k%R!#;7$$"2NLL$3En$4#!#<$"2`@u`(zCoU!#<7$$"-Dc#o%*=#!#7$"2cI^1Vnbg%!#<7$$"2nmmT!RE&G#!#<$"1EjHscgz\!#;7$$"2LL$e9r5$R#!#<$"1jE7O#Q(Ga!#;7$$"+D.&4]#!#5$"1#o([lB6"*e!#;7$$"*NO#4E!"*$"0u))3a*)HN'!#:7$$"+vB_<F!#5$"18IbN))e)z'!#;7$$"2(*****\-w=#G!#<$"1lhw/Ue,s!#;7$$"+v'Hi#H!#5$"1"yQ&eI(*pv!#;7$$"2mm;z*ev:J!#<$"1')>zLT_I")!#;7$$"1LLL347TL!#;$"1-J-`Tl"f)!#;7$$"2MLL3xxlV$!#<$"1xs@p`D=()!#;7$$"1LLLLY.KN!#;$"1LmO<V$e!))!#;7$$"/DJXTb(e$!#9$"1ZhHYzzR))!#;7$$"2nm"HdO2VO!#<$"0"*z_^L?'))!#:7$$"1L3FpJf)p$!#;$"1QG9%>XK())!#;7$$"-D"o7Tv$!#7$"0'*e`I1U())!#:7$$"2jm"HK5S_Q!#<$"1/lp.tO`))!#;7$$"1LLL$Q*o]R!#;$"1aV;(R7!3))!#;7$$"1m;H#GF&eS!#;$"1_73pbLO()!#;7$$"-D"=lj;%!#7$"0"[o#41([')!#:7$$"-vV&R<P%!#7$"1Mlm68Aj%)!#;7$$"2NLLe9Ege%!#<$"1kd?f,s%G)!#;7$$"2OL3F9<Wo%!#<$"1u#*[W"G'>#)!#;7$$"2LL$eR"3Gy%!#<$"0OU,P^'p")!#:7$$".v=7O*))[!#8$"1[\6=JGN")!#;7$$"2mmmT5k]*\!#<$"1R0Jgc"H7)!#;7$$"1m;/^7I0^!#;$"1&4)))\e.M")!#;7$$"1mm"zRQb@&!#;$"1HC78[&*o")!#;7$$"1LLLe,]6`!#;$"1H(f*faB<#)!#;7$$"-v=>Y2a!#7$"1$)*>q_,+G)!#;7$$"1mm;zXu9c!#;$"18@^*4H5X)!#;7$$"*&y))Ge!"*$"1*\!3zZfW')!#;7$$"1***\ibOO$f!#;$"1:mk3%=/t)!#;7$$"1****\i_QQg!#;$"1B\;*y%o,))!#;7$$"1**\(=-N(Rh!#;$"1uEDfAd]))!#;7$$"1***\7y%3Ti!#;$"13+$[cMQ())!#;7$$"1*\7`f]tH'!#;$"1aR(Qu_O())!#;7$$"1**\P4kh`j!#;$"1#pI6g.I'))!#;7$$"/vVBA))4k!#9$"19LRCy2T))!#;7$$"1****\P![hY'!#;$"1wp8Q%Qr!))!#;7$$"1mmT5FEnl!#;$"0$*Q1SHRr)!#:7$$"1LLL$Qx$om!#;$"1wbx#)4&od)!#;7$$"+v.I%)o!#5$"1)ez`V!QI")!#;7$$"1mm"zpe*zq!#;$"1H+VZ*>#\v!#;7$$"+D\'QH(!#5$"1A`v^P'Gv'!#;7$$"1n;zp%*\%R(!#;$"1ny,q?DPj!#;7$$"1KLe9S8&\(!#;$"1(y9e2Xz!f!#;7$$"1mmT5hK+w!#;$"/2'ya!oca!#97$$"1***\i?=bq(!#;$"1uchM*eq,&!#;7$$"1m;H2FO3y!#;$"1RVs7$zOh%!#;7$$"1LLL3s?6z!#;$"2<JdXS(G_U!#<7$$"1m;zpe()=!)!#;$"2x*4Kb9gOR!#<7$$"-DJXaE")!#7$"2'4#*QXmF.P!#<7$$"1mT5!R$Ry")!#;$"2'Rv)Q?hbi$!#<7$$"1L$e*[ACI#)!#;$"1#z!4<h*Gd$!#;7$$"1;aQym;c#)!#;$"2%Rj@5_\cN!#<7$$"1*\7y5"4#G)!#;$"1uq?AH)pa$!#;7$$"1%eRs`:!3$)!#;$"1(zIF.YXa$!#;7$$"1nmmm*RRL)!#;$"1j#*3=*e$\N!#;7$$"1mT5S9Xg$)!#;$"1aFI"=Y>c$!#;7$$"1n;a8H'pQ)!#;$"1D!f^[RCe$!#;7$$"1n"zpQuMT)!#;$"2%*z]XVx4h$!#<7$$"1nmTge)*R%)!#;$"2.)Q\_(zwk$!#<7$$"1n;H2)3I\)!#;$"1sAFVJ&fu$!#;7$$"1mm;a<.Y&)!#;$"1(*fl9HyxQ!#;7$$".vV`*>^')!#8$"2(*QX:'QeQU!#<7$$"1LLe9tOc()!#;$"2X2=s0dns%!#<7$$"1m;H#e0I&))!#;$"1no,'>fhF&!#;7$$"*&Qk\*)!"*$"1)pMQj<J!f!#;7$$"1nmT5ASg!*!#;$"0KJ(zr]!o'!#:7$$"1LL$3dg6<*!#;$"18I\+!\EY(!#;7$$"-voTAq#*!#7$"1W0q3)o#*4)!#;7$$"1mmmmxGp$*!#;$"1s#[G=$*pf)!#;7$$"/DJ&**)4A%*!#9$"1\J@GU8t()!#;7$$"1L$eRA5\Z*!#;$"1$GQ#Gshl))!#;7$$"0D"GQeJ,&*!#:$"1'35zH5Y())!#;7$$"1mTg_9sF&*!#;$"1.h^d[Qb))!#;7$$"1$3Fp1FTb*!#;$"1Pr?qjB0))!#;7$$"-D"oK0e*!#7$"1bO&o?B8s)!#;7$$".Dcwz5j*!#8$"1HK^$[LbX)!#;7$$"*&oi"o*!"*$"1H&=j2FD.)!#;7$$".vV$R<K(*!#8$"1.%Qp2#yFu!#;7$$"-v=5s#y*!#7$"1h8/t*pXh'!#;7$$"1^iS"*3))4)*!#;$"1us]#ph93'!#;7$$"/D1k2/P)*!#9$"1,SQ8!=]Z&!#;7$$"0v=nj+U')*!#:$"2YG!*3?F-z%!#<7$$".v$40O"*)*!#8$"0%*3Y3f=-%!#:7$$"1DJqX/%\!**!#;$"2LU4azPYg$!#<7$$"1^7.#Q?&=**!#;$"1Q(3dgeW;$!#;7$$"1w$f$=.5K**!#;$"2d![$[T.1q#!#<7$$"/voa-oX**!#9$"2`V'3P#RB@#!#<7$$"1Cc,">g#f**!#;$"1kd0*)z"*)p"!#;7$$"0vVt7SG(**!#:$"1Lb!\Fw&f6!#;7$$"1v=nj+U')**!#;$"1e(*)ep^`$f!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6$7cx7$$""!!""$""!!""7$$"1LL3x1h6o!#>$"22LfPWbq."!#<7$$"2mm;a8ABO"!#>$"2Z)*39ynx)>!#<7$$".DJ?$[V?!#:$"2$\8G)HKo&G!#<7$$"1LL$3FWYs#!#=$"0GA9eb([O!#:7$$"2lmT&Q`!eS$!#>$"2a*pQ"[hyO%!#<7$$"-D1k'p3%!#9$"1[V>@pH=]!#;7$$"1L$eRZF"oZ!#=$"1C@nbv./c!#;7$$"1mmmT&)G\a!#=$"1:#pVG$*)Gh!#;7$$"1LL3x1h6o!#=$"1$RnN#HR5q!#;7$$",D"G$R<)!#8$"1v^<#\g,p(!#;7$$"1mm"z%\DO&*!#=$"1PEJ!*yB$>)!#;7$$"2LLL$3x&)*3"!#=$"0yT,q'\U&)!#:7$$".v=#**3E7!#9$"1=ROsDye()!#;7$$"2mm;a8ABO"!#=$"1%*f$G">0h))!#;7$$"/v=U#Q/V"!#:$"1\7ZT'p[())!#;7$$"2LLe*[Vb)\"!#=$"1x"*p07]m))!#;7$$"2o;HdXqmc"!#=$"1"fk&R7%y$))!#;7$$",Dc'yM;!#7$"104D(H*o!z)!#;7$$"2LL$e*)4D2>!#=$"1$3_)))f,]%)!#;7$$"2mmmmT:(z@!#=$"1*)GhJG)\$z!#;7$$"/D"yD&y;C!#:$"1-B%4#*y\S(!#;7$$"2LLe*)4bQl#!#=$"1M-^Jt?To!#;7$$"2n;/,%\#4*G!#=$"1$y#3T=\vi!#;7$$"-D"y%*z7$!#8$"1WFKaPbKd!#;7$$"1LeRAY1lL!#<$"1.$z,LI5B&!#;7$$"1n;ajW8-O!#<$"2k;*p$)RQ%y%!#<7$$"20](o/V?RQ!#=$"2/D4j_6<S%!#<7$$"2NLLe9ui2%!#=$"2uwt:2i%)3%!#<7$$"20]il(R)GM%!#=$"2Z/d3R]?#Q!#<7$$"1n;H2Q\4Y!#<$"1PM,HjDYO!#;7$$"2'\ilA()zUZ!#=$"2WBl?VA9f$!#<7$$"1L3-QO5w[!#<$"2EvW@&o#yb$!#<7$$"2mT&Q`&3%4]!#=$"1=HnK$3Za$!#;7$$"-voMrU^!#8$"2tQk*z??^N!#<7$$"2ML3-8Lfn&!#=$"2Zx0*)e?Lv$!#<7$$"1nmm"z_"4i!#<$"2D_U]ePQ=%!#<7$$"1mm;zp!fu'!#<$"1#3mtsDFx%!#;7$$"1nmmm6m#G(!#<$"14GW#ekbW&!#;7$$"1nm;a`T>y!#<$"1xcdIOBRh!#;7$$"1mmmT&phN)!#<$"1)3***)oPF!o!#;7$$"1L$3-js.*))!#<$"1#)Rmr8l&R(!#;7$$"-v=ddC%*!#8$"1oa^Imn'*y!#;7$$"1m;H2)y(e**!#<$"1#3@#Hky#H)!#;7$$"2KL$e*=)H\5!#<$"1X^3G,#3e)!#;7$$"2mmmTlD))4"!#<$"1$=Kcc"Qb()!#;7$$"2)***\(=JN[6!#<$"1BWm]A`\))!#;7$$"2lmT5&o6t6!#<$"1u;#e<n*p))!#;7$$"2KLLLe!)y>"!#<$"1@.#HO#zu))!#;7$$".DcJWEA"!#8$"1[lu$*4tl))!#;7$$"2mm;z/3uC"!#<$"1Al`R`bW))!#;7$$"1LLe*ot*\8!#;$"1#[0([Yhm')!#;7$$"2)***\7LRDX"!#<$"1([[M%)>6V)!#;7$$"2mm;z4wb]"!#<$"1.v:%)\X>$)!#;7$$"1LLekGhe:!#;$"1p4u*enyA)!#;7$$"2)***\7j\;h"!#<$"1FurRg$H;)!#;7$$"2lm;zR'ok;!#<$"1&3j0ZE%G")!#;7$$"1L$ekt>6p"!#;$"19AzJ7.B")!#;7$$"2)*****\2`vr"!#<$"0Mfg%)=a7)!#:7$$"2mmTNT')Ru"!#<$"1&p>@2j`8)!#;7$$"1LL3_(>/x"!#;$"/Jnb=^_")!#97$$"2kmm"HkGB=!#<$"1[8^'\dk?)!#;7$$"2)***\i5`h(=!#<$"1iNR]aQ#G)!#;7$$"2mm"HdG"\)>!#<$"1Ex\T$Q4[)!#;7$$"2NLL$3En$4#!#<$"1cx>L8"\o)!#;7$$"2om"HK/dT@!#<$"1^)=h^n-w)!#;7$$"-Dc#o%*=#!#7$"0`ZQ9q(>))!#:7$$"2n;H#orT8A!#<$"1lK%y%HAU))!#;7$$"2ML3-3mtB#!#<$"1)obB3m"f))!#;7$$"/v=#*\JhA!#9$"1RKFT.<q))!#;7$$"2nmmT!RE&G#!#<$"1v@bUB&[())!#;7$$"2N$3x1ZA7B!#<$"1`/-o:9s))!#;7$$".v$4b=RB!#8$"1z\i@&*eg))!#;7$$"2l;z>JYhO#!#<$"1b4$e"=()R))!#;7$$"2LL$e9r5$R#!#<$"1N7c[^u4))!#;7$$"2lm"z>(GqW#!#<$"1U!>@\'p?()!#;7$$"+D.&4]#!#5$"1i8Ga65$f)!#;7$$"*NO#4E!"*$"14yq\Q9D#)!#;7$$"+vB_<F!#5$"1%3*yeFgEx!#;7$$"2(*****\-w=#G!#<$"1tx&*yXKar!#;7$$"+v'Hi#H!#5$"1m2xd'4.`'!#;7$$"1L$eky#*4-$!#;$"1m,\$*z(H&f!#;7$$"2mm;z*ev:J!#<$"03^#=c$fR&!#:7$$".DJSQ%GK!#8$"1T(fSAfdz%!#;7$$"1LLL347TL!#;$"2LB[mD2bH%!#<7$$"2MLL3xxlV$!#<$"2'zz/P[(p'R!#<7$$"1LLLLY.KN!#;$"14EjEp/LP!#;7$$"/DJXTb(e$!#9$"1f)yN'G'3k$!#;7$$"2nm"HdO2VO!#<$"2jN1*yu1!e$!#<7$$"0D"G8M$3n$!#:$"1d%et$)G5c$!#;7$$"1L3FpJf)p$!#;$"21<I.%*z#\N!#<7$$"2mTg_#HNEP!#<$"2j+/iMtXa$!#<7$$"-D"o7Tv$!#7$"1`>j_ljYN!#;7$$"1L3xcoD.Q!#;$"2'ep1c%pfc$!#<7$$"2jm"HK5S_Q!#<$"2dVg*[R!Qg$!#<7$$"2'*\7y?X:!R!#<$"1Y$GlX6#eO!#;7$$"1LLL$Q*o]R!#;$"0v13wfrs$!#:7$$"1m;H#GF&eS!#;$"1'oo;wF">R!#;7$$"-D"=lj;%!#7$"2bbh^1l)[T!#<7$$"-vV&R<P%!#7$"1#4D0%[;<Y!#;7$$"2NLLe9Ege%!#<$"1/zG#ynZ/&!#;7$$"2OL3F9<Wo%!#<$"1o\M&3o]>&!#;7$$"2LL$eR"3Gy%!#<$"1F<S;^U3`!#;7$$"2j;H28se$[!#<$"0BF5naHN&!#:7$$".v=7O*))[!#8$"1<JR;*\`Q&!#;7$$"2N$3-8,+U\!#<$"1C+'ptd`S&!#;7$$"2mmmT5k]*\!#<$"14Wp4i#GT&!#;7$$"1nTgxE=]]!#;$"1KPiAzC2a!#;7$$"1m;/^7I0^!#;$"1'[Fo%e7)Q&!#;7$$"1l"zW#)>/;&!#;$"1Vl]rihb`!#;7$$"1mm"zRQb@&!#;$"1Rhi7D**4`!#;7$$"1LLLe,]6`!#;$"1y3lwb`+_!#;7$$"-v=>Y2a!#7$"/MGUWwb]!#97$$"1mm;zXu9c!#;$"20%3KV84ZY!#<7$$"*&y))Ge!"*$"1En(ov4&fT!#;7$$"1***\ibOO$f!#;$"02%*\O7[$R!#:7$$"1****\i_QQg!#;$"2%H;)*HMDWP!#<7$$"1*\(=U,1*3'!#;$"2t]M(o9LqO!#<7$$"1**\(=-N(Rh!#;$"2OCS>6[9h$!#<7$$"1*\i:!*4/>'!#;$"2lIK2:Y)pN!#<7$$"1***\7y%3Ti!#;$"1*o>_/fwa$!#;7$$"1\7G)o<#pi!#;$"04KN-cWa$!#:7$$"1*\7`f]tH'!#;$"2xfRz6f"[N!#<7$$"0vVB]$[Dj!#:$"1s,#Qqb!fN!#;7$$"1**\P4kh`j!#;$"1*)*Rp72ud$!#;7$$"/vVBA))4k!#9$"2/aBg+ttj$!#<7$$"1****\P![hY'!#;$"0<"*GSA&HP!#:7$$"1mmT5FEnl!#;$"2YIdKe)QyR!#<7$$"1LLL$Qx$om!#;$"2P-F.lyJL%!#<7$$"1mm;z)Qjx'!#;$"20eAg3!Q>[!#<7$$"+v.I%)o!#5$"1#ex`+biR&!#;7$$"1K$ek`H@)p!#;$"1:<&)*fJ=(f!#;7$$"1mm"zpe*zq!#;$"/"*4nX-ol!#97$$"1L$e9"="p=(!#;$"13&H$=A20s!#;7$$"+D\'QH(!#5$"1%47YP^Uy(!#;7$$"1n;zp%*\%R(!#;$"1aNM(pt,C)!#;7$$"1KLe9S8&\(!#;$"1Z4v%o]Be)!#;7$$",D1Ixa(!#6$"1y]2n.)*4()!#;7$$"1mmT5hK+w!#;$"1Dtj=A'4!))!#;7$$".vV8Cmi(!#8$"1pNf\ZsK))!#;7$$"1LLLe@#Hl(!#;$"1C*)f&)f[b))!#;7$$"1m;H#=?#zw!#;$"1)Q9]e]%p))!#;7$$"1***\i?=bq(!#;$"18Aj*o'*[())!#;7$$"1;/^J$H7t(!#;$"1z%\ANAB())!#;7$$"1L3xc/%pv(!#;$"1HJ`x`Li))!#;7$$"0DJ?e^Ey(!#:$"1Oe[RTRX))!#;7$$"1m;H2FO3y!#;$"11'fJ\=?#))!#;7$$"1*\7y&\yfy!#;$"1CkNI;Le()!#;7$$"1LLL3s?6z!#;$"/tv#oGln)!#97$$"1m;zpe()=!)!#;$"1l$>B:gNZ)!#;7$$"-DJXaE")!#7$"1'Rk'H02y#)!#;7$$"1mT5!R$Ry")!#;$"1j^!f)eP/#)!#;7$$"1L$e*[ACI#)!#;$"1iabZz*>:)!#;7$$"1;aQym;c#)!#;$"18LqRVGN")!#;7$$"1*\7y5"4#G)!#;$"18\P%=.b7)!#;7$$"1%eRs`:!3$)!#;$"1uYRyq)H7)!#;7$$"1nmmm*RRL)!#;$"1`SrdB&z7)!#;7$$"1mT5S9Xg$)!#;$"1v`fG/'39)!#;7$$"1n;a8H'pQ)!#;$"1M<tt`jh")!#;7$$"1n"zpQuMT)!#;$"1C0U)yo+>)!#;7$$"1nmTge)*R%)!#;$"1jg,HmyD#)!#;7$$"1n;H2)3I\)!#;$"0Q$=)4:nJ)!#:7$$"1mm;a<.Y&)!#;$"0F!4EK#zU)!#:7$$".vV`*>^')!#8$"0hEq8(=p')!#:7$$"1LLe9tOc()!#;$"14Cm"4&\[))!#;7$$"1;/^")o_!y)!#;$"1@D%oA0w'))!#;7$$"/vV[ko/))!#9$"1u9:rs'\())!#;7$$"1$ek`,Y)G))!#;$"0oO&)=R*o))!#:7$$"1m;H#e0I&))!#;$"1rh;7j#z%))!#;7$$"1Le9;ZK,*)!#;$"1PAf`%y\v)!#;7$$"*&Qk\*)!"*$"1MV!)yVX&e)!#;7$$"1L$3-.B]+*!#;$"1J]5na+(G)!#;7$$"1nmT5ASg!*!#;$"135AUHWsy!#;7$$".D1R"y:"*!#8$"1F:"=pfcM(!#;7$$"1LL$3dg6<*!#;$"18a^iF0An!#;7$$"1n;zpBp?#*!#;$"1R$3TPMb5'!#;7$$"-voTAq#*!#7$"1i@`g"f]Y&!#;7$$"1L$3x'fv>$*!#;$"20%31?<#3%[!#<7$$"1mmmmxGp$*!#;$"2CyaP@#)=G%!#<7$$"/DJ&**)4A%*!#9$"22uOGiF5#Q!#<7$$"1L$eRA5\Z*!#;$"2:Nh<AO-d$!#<7$$"1"z>6.8")[*!#;$"1H!=poT'[N!#;7$$"0D"GQeJ,&*!#:$"1[c%yBDba$!#;7$$"14FWX'=X^*!#;$"2lMi+G(zhN!#<7$$"1mTg_9sF&*!#;$"1>=-(p#G)f$!#;7$$"1$3Fp1FTb*!#;$"1=q0QDmMP!#;7$$"-D"oK0e*!#7$"2mp]K_s)eR!#<7$$"1,vVBi!eg*!#;$"1i%fQnOsD%!#;7$$".Dcwz5j*!#8$"1>Pxgt/OY!#;7$$"/D"yI`jl*!#9$"1%)[_">Q-4&!#;7$$"*&oi"o*!"*$"1***y=tT.h&!#;7$$"1,v=#R+pq*!#;$"1F0<T,a"='!#;7$$".vV$R<K(*!#8$"1[I@M`e#y'!#;7$$"/DcwuWd(*!#9$"0RpNUvXQ(!#:7$$"-v=5s#y*!#7$"1T<EZJd\z!#;7$$"1^iS"*3))4)*!#;$"1t'[IT1)f%)!#;7$$"/D1k2/P)*!#9$"1"G-r/(*[z)!#;7$$"1ilAK2$Q%)*!#;$"1<?w0KeS))!#;7$$"1C1R+2i])*!#;$"1v"H,@nx'))!#;7$$"1(oa&o1Td)*!#;$"1$y4(*)*fY())!#;7$$"0v=nj+U')*!#:$"1$[QXNy$f))!#;7$$"1vo/t0yx)*!#;$"11F5EtEa()!#;7$$".v$40O"*)*!#8$"1/WV@.NN&)!#;7$$"1DJqX/%\!**!#;$"1aOJIB!Q=)!#;7$$"1^7.#Q?&=**!#;$"0#p(HmH*yw!#:7$$"1w$f$=.5K**!#;$"1(Gj\CN!)*p!#;7$$"/voa-oX**!#9$"1;$[-Nwi6'!#;7$$"1i:&GAqC&**!#;$"17EZ#)eo"f&!#;7$$"1Cc,">g#f**!#;$"1)4m6V9l+&!#;7$$"1(oz"f,0m**!#;$"1%GN['\)pN%!#;7$$"0vVt7SG(**!#:$"1K!>5pc"RO!#;7$$"17y]&4I'z**!#;$"1EX"zi>*[G!#;7$$"1v=nj+U')**!#;$"2Gb!HK!*)>)>!#<7$$"1Pf$=.5K***!#;$"2"*\"e!o**Q."!#<7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"0)>M3y6%H(!#:$"13WnKMLLL!#;$"1*zon!*4XF)!#;-%%VIEWG6$;$""!!""$"#5!"";$""!!""$"#"*!"#-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$I%!""-%)BOUNDS_YG6#$"#!)!""-%-BOUNDS_WIDTHG6#$"%!\$!""-%.BOUNDS_HEIGHTG6#$"%+N!""-%)CHILDRENG6"

Let's go ahead and try 3.6 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

JCIjTyEiIg==

JCIiIyEiIg==

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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEqcG9pbnRwbG90RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiMtRjY2Ji1GIzYkLUYsNiVRJHNlcUYnRi9GMi1GNjYkLUYjNiktRjY2Ji1GIzYmLUYsNiVRIm5GJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRlQvJSpzeW1tZXRyaWNHRlQvJShsYXJnZW9wR0ZULyUubW92YWJsZWxpbWl0c0dGVC8lJ2FjY2VudEdGVC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInhGJ0YvRjItRjY2Ji1GIzYjRklGUC8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0ZQRmhvRltwRkxGSS1GTTYtUSI9RidGUEZSL0ZWRlRGV0ZZRmVuRmduRmluL0Zcb1EsMC4yNzc3Nzc4ZW1GJy9GX29GY3AtSSNtbkdGJDYkUSIxRidGUC1GTTYtUSMuLkYnRlBGUkZhcEZXRllGZW5GZ25GaW4vRlxvUSwwLjIyMjIyMjJlbUYnL0Zfb0Zdby1GZnA2JFEkMzAwRidGUEZQRlBGaG9GW3BGUC1GTTYtUSI7RidGUEZSRlVGV0ZZRmVuRmduRmluRltvRmRw

6&-%'POINTSG6h]l7$$"#5!""$"$w&!"$7$$"#?!""$"(k?z)!"(7$$"#I!""$"+B-HBQ!#57$$"#S!""$"+vu_,&)!#57$$"#]!""$"+B*\he%!#57$$"#g!""$"+>@MQ*)!#57$$"#q!""$"+)31iT$!#57$$"#!)!""$"+m[(p4)!#57$$"#!*!""$"+0)[ra&!#57$$"$+"!""$"+[hA#*))!#57$$"$5"!""$"*A2ia$!"*7$$"$?"!""$"+e^8R#)!#57$$"$I"!""$"+M7)GA&!#57$$"$S"!""$"+Bm6#)*)!#57$$"$]"!""$"+#**)Q"H$!#57$$"$g"!""$"+KM.\z!#57$$"$q"!""$"+bE:pe!#57$$"$!=!""$"+>l/G()!#57$$"$!>!""$"+&*3g'*R!#57$$"$+#!""$"+%[[vj)!#57$$"$5#!""$"+pncOU!#57$$"$?#!""$"+%4"=!z)!#57$$"$I#!""$"+>)H%GQ!#57$$"$S#!""$"+$Rse])!#57$$"$]#!""$"+a"*=vX!#57$$"$g#!""$"+mG.N*)!#57$$"$q#!""$"+%)eeDM!#57$$"$!G!""$"+n#Rw5)!#57$$"$!H!""$"+Z"GL_&!#57$$"$+$!""$"+bfS,*)!#57$$"$5$!""$"+n8X?N!#57$$"$?$!""$"+.p$>@)!#57$$"$I$!""$"+zg/'G&!#57$$"$S$!""$"+\Raq*)!#57$$"$]$!""$"*2@XK$!"*7$$"$g$!""$"+FtR*)z!#57$$"$q$!""$"+/8'Gy&!#57$$"$!Q!""$"+UhOz()!#57$$"$!R!""$"+j4!z&Q!#57$$"$+%!""$"+E&>/`)!#57$$"$5%!""$"+p'4I^%!#57$$"$?%!""$"+^Di9*)!#57$$"$I%!""$"+-HE$[$!#57$$"$S%!""$"+*3B=<)!#57$$"$]%!""$"+&yL#y`!#57$$"$g%!""$"+:")\[*)!#57$$"$q%!""$"+[0P(Q$!#57$$"$![!""$"+[Mzj!)!#57$$"$!\!""$"+%4T2i&!#57$$"$+&!""$"+z\Gh))!#57$$"$5&!""$"+">sDj$!#57$$"$?&!""$"+H3&oK)!#57$$"$I&!""$"+")Ga:]!#57$$"$S&!""$"*.8****)!"*7$$"$]&!""$"+r/DSK!#57$$"$g&!""$"+x8=&)y!#57$$"$q&!""$"+KAE.g!#57$$"$!e!""$"+ktkP')!#57$$"$!f!""$"+'z2jB%!#57$$"$+'!""$"+@(Q+z)!#57$$"$5'!""$"+Q$=)GQ!#57$$"$?'!""$"+n+?1&)!#57$$"$I'!""$"+#*>OuX!#57$$"$S'!""$"+A'zZ$*)!#57$$"$]'!""$"+eLIEM!#57$$"$g'!""$"+(R_%3")!#57$$"$q'!""$"+J&3:_&!#57$$"$!o!""$"+'Q!4-*)!#57$$"$!p!""$"+B'G&=N!#57$$"$+(!""$"+>t))4#)!#57$$"$5(!""$"+CWy!H&!#57$$"$?(!""$"+#**f&p*)!#57$$"$I(!""$"+\OLFL!#57$$"$S(!""$"+Buy#*z!#57$$"$](!""$"+Q/cvd!#57$$"$g(!""$"+k@Y$y)!#57$$"$q(!""$"+f!\n%Q!#57$$"$!y!""$"+:W?@&)!#57$$"$!z!""$"+3ISOX!#57$$"$+)!""$"+>!GE#*)!#57$$"$5)!""$"+$>w1Y$!#57$$"$?)!""$"+&ftp9)!#57$$"$I)!""$"+*egZV&!#57$$"$S)!""$"+jR&>$*)!#57$$"$])!""$"+#p0VV$!#57$$"$g)!""$"+zk\<")!#57$$"$q)!""$"+_wB,b!#57$$"$!))!""$"+&*Qb4*)!#57$$"$!*)!""$"+.)Rv\$!#57$$"$+*!""$"+33M(=)!#57$$"$5*!""$"+(34FM&!#57$$"$?*!""$"+s"=x&*)!#57$$"$I*!""$"+u!G6O$!#57$$"$S*!""$"+ub2L!)!#57$$"$]*!""$"+BH;)o&!#57$$"$g*!""$"+Wa^H))!#57$$"$q*!""$"+F@`?P!#57$$"$!)*!""$"+3jm5%)!#57$$"$!**!""$"+@zC7[!#57$$"%+5!""$"+*p4t)*)!#57$$"%55!""$"+"4!\wK!#57$$"%?5!""$"+&*[iIz!#57$$"%I5!""$"+"e<"3f!#57$$"%S5!""$"+&3;Jq)!#57$$"%]5!""$"+a_HjS!#57$$"%g5!""$"+;.8%o)!#57$$"%q5!""$"+uhy8T!#57$$"%!3"!""$"+A]E<()!#57$$"%!4"!""$"+s')\DS!#57$$"%+6!""$"+z\7e')!#57$$"%56!""$"+*yBD=%!#57$$"%?6!""$"+_PUf()!#57$$"%I6!""$"+**Q-7R!#57$$"%S6!""$"+%)3(Qd)!#57$$"%]6!""$"+&)3)=S%!#57$$"%g6!""$"+r7@r))!#57$$"%q6!""$"+(QS\g$!#57$$"%!="!""$"+@6P*H)!#57$$"%!>"!""$"+vS4"3&!#57$$"%+7!""$"*bKw**)!"*7$$"%57!""$"+Qi"oC$!#57$$"%?7!""$"+8[[$*y!#57$$"%I7!""$"*V))f)f!"*7$$"%S7!""$"+bw,]')!#57$$"%]7!""$"+.O&Q?%!#57$$"%g7!""$"+HV"=x)!#57$$"%q7!""$"'VyQ!"'7$$"%!G"!""$"+l!\ra)!#57$$"%!H"!""$"+jSQqW!#57$$"%+8!""$"+2D-**))!#57$$"%58!""$"+dW9FN!#57$$"%?8!""$"+h20>#)!#57$$"%I8!""$"+"Rw&p_!#57$$"%S8!""$"+'GQQ(*)!#57$$"%]8!""$"*M*4:L!"*7$$"%g8!""$"+8&**z(z!#57$$"%q8!""$"+0oM2e!#57$$"%!Q"!""$"*")[`w)!"*7$$"%!R"!""$"+.M(f*Q!#57$$"%+9!""$"+)407c)!#57$$"%59!""$"*d9WV%!"*7$$"%?9!""$"+B2%[)))!#57$$"%I9!""$"*_%)oc$!"*7$$"%S9!""$"+1[ig#)!#57$$"%]9!""$"+:tfs^!#57$$"%g9!""$"+ecF*)*)!#57$$"%q9!""$"+,Z%3F$!#57$$"%!["!""$")zgBz!")7$$"%!\"!""$"+lg!H#f!#57$$"%+:!""$"+")zO$p)!#57$$"%5:!""$"+k=D*3%!#57$$"%?:!""$"*i$R,()!"*7$$"%I:!""$"+(p')y1%!#57$$"%S:!""$"+D$>so)!#57$$"%]:!""$"+9*)e0T!#57$$"%g:!""$"+r.,7()!#57$$"%q:!""$"+VCbRS!#57$$"%!e"!""$"+uX"zm)!#57$$"%!f"!""$"+l\qcT!#57$$"%+;!""$"+_s)Ru)!#57$$"%5;!""$"+09s`R!#57$$"%?;!""$"+)R3fg)!#57$$"%I;!""$"+lG2>V!#57$$"%S;!""$"+j<3L))!#57$$"%];!""$"+7Vp5P!#57$$"%g;!""$"+,(o:S)!#57$$"%q;!""$"+L*eX$[!#57$$"%!o"!""$"+Kl9!**)!#57$$"%!p"!""$"+OIMoK!#57$$"%+<!""$"+)4"\?z!#57$$"%5<!""$"+GMYHf!#57$$"%?<!""$"+&=&**)o)!#57$$"%I<!""$"*Bt35%!"*7$$"%S<!""$"*el*3()!"*7$$"%]<!""$"+enoZS!#57$$"%g<!""$"+<e^t')!#57$$"%q<!""$"+b8!>9%!#57$$"%!y"!""$"+>+#\t)!#57$$"%!z"!""$"+$3M"yR!#57$$"%+=!""$"+=W3C')!#57$$"%5=!""$"+nVwrU!#57$$"%?=!""$"*B#34))!"*7$$"%I=!""$"+C8swP!#57$$"%S=!""$"+V@Hh%)!#57$$"%]=!""$"+7W+(o%!#57$$"%g=!""$"+`@tk*)!#57$$"%q=!""$"+CO7TL!#57$$"%!)=!""$"+.lK4!)!#57$$"%!*=!""$"+RM#)Rd!#57$$"%+>!""$"*1eH!))!"*7$$"%5>!""$"+)f.Nz$!#57$$"%?>!""$"+9>(fZ)!#57$$"%I>!""$"+JHM]Y!#57$$"%S>!""$"+vj)f&*)!#57$$"%]>!""$"+[=1mL!#57$$"%g>!""$")')))Q!)!")7$$"%q>!""$"+)=can&!#57$$"%!)>!""$"+>KvN))!#57$$"%!*>!""$"+3!>Lq$!#57$$"%+?!""$"+FEq%R)!#57$$"%5?!""$"+nyN^[!#57$$"%??!""$"+&)f/#**)!#57$$"%I?!""$"+)y%)GE$!#57$$"%S?!""$"+p]n8z!#57$$"%]?!""$"+M"zP%f!#57$$"%g?!""$"*9T$z')!"*7$$"%q?!""$"+f:[ET!#57$$"%!3#!""$"+"f2`s)!#57$$"%!4#!""$"+2+&R+%!#57$$"%+@!""$"+"RQGk)!#57$$"%5@!""$"+XAqAU!#57$$"%?@!""$"+^4\#y)!#57$$"%I@!""$"+%R%R\Q!#57$$"%S@!""$"+F%)RB&)!#57$$"%]@!""$"+p)Q3`%!#57$$"%g@!""$"+@'f2#*)!#57$$"%q@!""$"+Q=&fY$!#57$$"%!=#!""$"+Z1"G:)!#57$$"%!>#!""$"+4E_@a!#57$$"%+A!""$"+FZ.O*)!#57$$"%5A!""$"+EquAM!#57$$"%?A!""$"+)H=W5)!#57$$"%IA!""$"+J8`Ib!#57$$"%SA!""$"+UJn)*))!#57$$"%]A!""$"+$=D"GN!#57$$"%gA!""$"+H/4?#)!#57$$"%qA!""$"+Yj;n_!#57$$"%!G#!""$"+uRIu*)!#57$$"%!H#!""$"+_ow8L!#57$$"%+B!""$"+*R#Qwz!#57$$"%5B!""$"+9K"3"e!#57$$"%?B!""$"+&\HLw)!#57$$"%IB!""$")kW,R!")7$$"%SB!""$"+'zWbc)!#57$$"%]B!""$"+60GBW!#57$$"%gB!""$"+n?E!)))!#57$$"%qB!""$"+lQozN!#57$$"%!Q#!""$"+XFxt#)!#57$$"%!R#!""$"+D$o;9&!#57$$"%+C!""$"+J[x#**)!#57$$"%5C!""$"+$p*ygK!#57$$"%?C!""$")J06z!")7$$"%IC!""$"+YrF\f!#57$$"%SC!""$"+YUfv')!#57$$"%]C!""$"+*\-k8%!#57$$"%gC!""$"*x6:t)!"*7$$"%qC!""$"+n^H()R!#57$$"%![#!""$"+6WzI')!#57$$"%!\#!""$")&RUD%!")7$$"%+D!""$"*'Gy*z)!"*7$$"%5D!""$"+zS>-Q!#57$$"%?D!""$"+[R\$[)!#57$$"%ID!""$"+pr\JY!#57$$"%SD!""$"*/96&*)!"*7$$"%]D!""$"+B7$*zL!#57$$"%gD!""$"+vd8b!)!#57$$"%qD!""$"+VB")Rc!#57$$"%!e#!""$"+e/j_))!#57$$"%!f#!""$"*)egcO!"*7$$"%+E!""$"+2_I]$)!#57$$"%5E!""$"+3Q;f\!#57$$"%?E!""$"+n'*R***)!#57$$"%IE!""$"+H)G<C$!#57$$"%SE!""$"+$p`q)y!#57$$"%]E!""$"*br$**f!"*7$$"%gE!""$"+UBXS')!#57$$"%qE!""$"+G%e*GU!#57$$"%!o#!""$"+h"yfy)!#57$$"%!p#!""$"+rH*)RQ!#57$$"%+F!""$"+3Y\:&)!#57$$"%5F!""$"+er'3b%!#57$$"%?F!""$"+*o!QF*)!#57$$"%IF!""$"+K^CZM!#57$$"%SF!""$"+QG-K")!#57$$"%]F!""$"*'eboa!"*7$$"%gF!""$"+[R'4#*)!#57$$"%qF!""$"+=]PlM!#57$$"%!y#!""$"+;M<_")!#57$$"%!z#!""$"+#**oHU&!#57$$"%+G!""$"+.]fN*)!#57$$"%5G!""$"*6$*RU$!"*7$$"%?G!""$"+CG$e5)!#57$$"%IG!""$"**)ot_&!"*7$$"%SG!""$"+Qv()**))!#57$$"%]G!""$"+oQuCN!#57$$"%gG!""$"+hH];#)!#57$$"%qG!""$"+L"zaF&!#57$$"%!)G!""$"*0!os*)!"*7$$"%!*G!""$"+fFT=L!#57$$"%+H!""$"+l^,#)z!#57$$"%5H!""$"+*zI()z&!#57$$"%?H!""$"+"[I.x)!#57$$"%IH!""$"+.*eC)Q!#57$$"%SH!""$"+#o'R]&)!#57$$"%]H!""$"+Dg3iW!#57$$"%gH!""$"*[Le*))!"*7$$"%qH!""$"+RL4ON!#57$$"%!)H!""$"+B=^G#)!#57$$"%!*H!""$"+2hhZ_!#57$$"%+I!""$"+dq#z(*)!#5-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$I$!""-%)BOUNDS_YG6#$"$?"!""-%-BOUNDS_WIDTHG6#$"%IN!""-%.BOUNDS_HEIGHTG6#$"%qN!""-%)CHILDRENG6"

As expected I see no discernable periodicity, or pattern, here, although, yes, there are parts of the diagram that are avoided. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=