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There is 4 configurations with 3 valid polytopes. There is 0 configurations with 4 valid polytopes. There is 2 configurations with 5 valid polytopes. NyU3JiIiIiIiIyIiJCIiKTcmRiRGJSIiKEYnRig= NyU3JiIiIiIiIyIiJCIiKTcmRiRGJiIiJ0YnRig= NyU3JiIiIiIiIyIiJyIiKTcmRiQiIiRGJkYnNyZGJUYpRiZGJw== NyU3JiIiIiIiIyIiKCIiKTcmRiQiIiRGJkYnNyZGJUYpRiZGJw== Nyc3JiIiIiIiIyIiKCIiKTcmRiQiIiQiIidGJzcmRiRGKkYmRic3JkYlRilGKkYnNyZGJUYqRiZGJw== Nyc3JiIiIiIiIyIiKCIiKTcmRiQiIiQiIidGJzcmRiRGKkYmRic3JkYlRilGJkYnNyZGKUYqRiZGJw== 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 Number of solutions to try: 3. QzotSSppbnRlcmZhY2VHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2Iy9JMWRpc3BsYXlwcmVjaXNpb25HRigiIichIiI+SSNMN0dGKDwiRi0/JkkiakdGKEktYWxsc29sdXRpb25zR0YoSSV0cnVlR0YmQyU+SStjb25kaXRpb25zR0YoJkYyNiMiIiM+SSZKdXNlZEdGKCZGMjYjIiIiWiVDJD5JJE1pbkdGKC1JKU1pbmltaXplR0YoNiZGPzwjLUkkc2VxR0YmNiQtSSM+PUdGJjYkJkY3NiNGMiNGPyImKysiL0YyO0Y/LUkpbnVtZWxlbXNHRiY2I0Y3L0knYXNzdW1lR0YoSSxub25uZWdhdGl2ZUdGJi9JL2l0ZXJhdGlvbmxpbWl0R0YoIiQrIj5GLy1JJnVuaW9uR0YmNiRGLzwjNyVGPUY4JkZDRjlGKEYoRi0+SS1zb2x1dGlvbnNhdXhHRihGMEYtPyhJImtHRihGP0Y/LUZVNiNGL0Y0PkZfby1GaW42JEZfbzwjNyUmJkYvNiNGYW9GPi1JJm1pbnVzR0YmNiQmRmpvRjk8KEY/SSJFR0YoSSJGR0YoSSJTR0YoLUZJNiQmSSJNR0YoNiNJImlHRigvRmlwOyIiISwmSSJuR0YoRj9GLUY/LUZJNiQsJkY/Rj9GZnBGLUZqcCZGam82IyIiJEYtPkYvRl9vRi1GXm9GLT8oRmFvRj9GP0Zib0Y0QyU+SSRhdXhHRihGXHE/KEYyLCZGYW9GP0Y/Rj9GP0Zib0Y0QCQtSSZldmFsYkdGJjYjLUknc3Vic2V0R0YmNiRGX3AmJkYvRk9GOT5GaXFGP0AkL0ZpcUZccT5GX28tRmluNiRGX288IzclRmlvRl9wRmJxRi1GZXFGLS1JJ3ByaW50ZkdGJTYlUWpvVGhlcmV+YXJlfiVkfm1heGltYWx+cmVnaW9ucyx+aW5+d2hpY2h+dGhlcmV+YXJlfiVkfnBvc2l0aXZlfnNvbHV0aW9uc35lYWNoLn5cbkYoRmJvLCYtSSZmbG9vckdGJTYjLCRGXnEjRj9GOkY6Rj9GP0Y/LUZeczYjUV1xVGhlfm9yaWdpbmFsfnRyaWFuZ3VsYXRpb25zLH5zaW1wbGljZXN+cG9zaXRpdmVseX5kZWNvcmF0ZWQsfnJlZ2lvbnMsfmFuZH5hfnBvaW50fm9ufmVhY2h+b25lfmFyZTpGKEY/PyhGaXBGP0Y/RmJvRjRDJi1JNEZvdW5kb3JpZ2luYWx0cmlhbmdHRig2JEkqb3JpZ2luYWxzR0YoLUZddDYkSStvcmlnaW5hbHMyR0YoLUZddDYkSStvcmlnaW5hbHMzR0YoJiZGL0ZocEY+RmZ0JkZndEY5JkZndEZjcUY/ There are 1 maximal regions, in which there are 3 positive solutions each. The original triangulations, simplices positively decorated, regions, and a point on each one are: Nyg3JiIiISIiIyIiJiIiKDcmRiQiIiUiIidGJzcmRiRGJkYqRic3JiIiIkYlRipGJzcmRi1GKUYqRic3JkYlRiZGKkYn NyU3JiIiIiIiIyIiKCIiKTcmRiQiIiQiIidGJzcmRiRGKkYmRic= PCgsJiZJIk1HNiI2IyIiISIiIiZGJTYjRikhIiIsJiomSSJTR0YmRilGJEYpRilJIkVHRiZGLCwoKiZGMEYpRiRGKUYpKiZJIkZHRiZGKUYkRilGKUYwRiwsKComRjBGKUYqRilGLComRjRGKUYqRilGLEYwRiksKComRi9GKUYqRilGLEY0RixGL0YpLC5GMkYsRjZGKUYzRixGN0YpRi5GKUY5Riw= NycvSSJFRzYiXTNGRDk5NzRGRDA4OEQ1MjYvSSJGR0YlXTNGMkVBNUI4OTVFQ0IzQTYvSSJTR0YlXTQwMDE5QTJDNEQ5NEYzM0IvJkkiTUdGJTYjIiIhXTNGRUZGRDlCOUE5RkJEQUMvJkYvNiMiIiJdM0ZFRkY5MkEzQURGQ0VBMA== JSFH 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TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2NzQ3MTA1MjU0ODM5MTEwWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjOSIkIikiIiIiIiFGJ0YnRiZGJ0YnRidGJkYmRidGJ0YmRidGJ0YmJiUiTUc2I0YnLCZGJkYmRighIiJGJiZGKTYjRiYsJkYmRiZGLUYsLCQlIlNHRiwsJCUiRUdGLCwkJSJGR0YsRiU=