JSFH Buchberger's Algorithm Input: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJXNpemVHUSMyMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==

Output: a Groebner basis 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 for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSUYnLyUlc2l6ZUdRIzIyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi8vRjZRJ25vcm1hbEYn, with LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEiRkYnLyUlc2l6ZUdRIzIyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEmJnN1YjtGJ0YvL0Y2USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZPLUYsNiZRIkdGJ0YvRjJGNUYvRjw= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEiR0YnLyUlc2l6ZUdRIzIyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEqJmNvbG9uZXE7RidGLy9GNlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkAvJSlzdHJldGNoeUdGQC8lKnN5bW1ldHJpY0dGQC8lKGxhcmdlb3BHRkAvJS5tb3ZhYmxlbGltaXRzR0ZALyUnYWNjZW50R0ZALyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTy1GLDYmUSJGRidGL0YyRjVGL0Y8 REPEAT LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEiR0YnLyUlc2l6ZUdRIzIyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEiJ0YnRi8vRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZALyUpc3RyZXRjaHlHRkAvJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRLDAuMTExMTExMWVtRicvJSdyc3BhY2VHUSYwLjBlbUYnLUY5Ni5RKiZjb2xvbmVxO0YnRi9GPEY+RkFGQ0ZFRkdGSUZLL0ZOUSwwLjI3Nzc3NzhlbUYnL0ZRRldGK0YvRjw= FOR each pair 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, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEicEYnLyUlc2l6ZUdRIzIyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlErJk5vdEVxdWFsO0YnRi8vRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZALyUpc3RyZXRjaHlHRkAvJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRk8tRiw2JlEicUYnRi9GMkY1Ri9GPA== in LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiR0YnLyUlc2l6ZUdRIzIyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEiJ0YnRi8vRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZALyUpc3RyZXRjaHlHRkAvJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRLDAuMTExMTExMWVtRicvJSdyc3BhY2VHUSYwLjBlbUYnRi9GPA== DO 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 IF LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEiU0YnLyUlc2l6ZUdRIzIyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlErJk5vdEVxdWFsO0YnRi8vRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZALyUpc3RyZXRjaHlHRkAvJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRk8tSSNtbkdGJDYlUSIwRidGL0Y8Ri9GPA== THEN 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 UNTIL LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEiR0YnLyUlc2l6ZUdRIzIyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEiPUYnRi8vRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZALyUpc3RyZXRjaHlHRkAvJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRk9GKy1GOTYuUSInRidGL0Y8Rj5GQUZDRkVGR0ZJRksvRk5RLDAuMTExMTExMWVtRicvRlFRJjAuMGVtRidGL0Y8 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJXNpemVHUSMyMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==

print(); # input placeholder

LC4qJiIiIyIiIilJInhHNiJGJEYlRiUqJkYnRiVJInlHRihGJUYlRidGJSomRiRGJSlGKkYkRiVGJSomIiIkRiVGKkYlRiVGLkYl

LC4qJClJInhHNiIiIiMiIiJGKComRiVGKEkieUdGJkYoRigqJiIiJEYoRiVGKEYoKiQpRipGJ0YoISIiKiZGJ0YoRipGKEYvIiImRig=

NyQsLCIjcCIiIiomIiNcRiVJInlHNiJGJSEiIiomIiNpRiUpRigiIiNGJUYlKiYiIyQpRiUpRigiIiRGJUYlKiYiIz5GJSlGKCIiJUYlRiUsLCIjJipGJSomIiQ1IkYlRihGJUYqKiYiIzdGJUYtRiVGKiomRjRGJUYxRiVGJSomIiNlRiVJInhHRilGJUYl

JSFH JSFH Choose a pair 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. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJXNpemVHUSMyMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==

print(); # input placeholder

LCwqJkkieEc2IiIiIkkieUdGJUYmISIiKiYiIiZGJkYkRiZGKComIiIlRiYpRiciIiNGJkYmKiYiIihGJkYnRiZGJkYwRig=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZMLUkjbW9HRiQ2LlEiI0YnLyUlc2l6ZUdRIzIyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkYtSSNtaUdGJDYmUUQmIzg3NTc7U0ExQTI9MCYjODkwMTtBMSswJiM4OTAxO0EyK0YnRi8vJSdpdGFsaWNHUSV0cnVlRicvRjNRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNjctRiw2LlEqJnVtaW51czA7RidGL0YyRjVGOEY6RjxGPkZARkIvRkVRLDAuMjIyMjIyMmVtRicvRkhGZW4tRko2JlEieEYnRi9GTUZQLUYsNi1RMSZJbnZpc2libGVUaW1lcztGJ0YyRjVGOEY6RjxGPkZARkJGREZHLUZKNiZRInlGJ0YvRk1GUC1GLDYuUSgmbWludXM7RidGL0YyRjVGOEY6RjxGPkZARkJGWkZmbi1JI21uR0YkNiVRIjVGJ0YvRjJGam5GZ24tRiw2LlEiK0YnRi9GMkY1RjhGOkY8Rj5GQEZCRlpGZm4tRmRvNiVRIjRGJ0YvRjJGam4tSSVtc3VwR0YkNiVGXW8tRmRvNiVRIjJGJ0YvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRmdvLUZkbzYlUSI3RidGL0YyRmpuRl1vRmBvRmZwRi8vJStleGVjdXRhYmxlR0Y3RjJGL0YyLUZKNiNRIUYnLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHRkYvJSZkZXB0aEdGY3EvJSpsaW5lYnJlYWtHUShuZXdsaW5lRidGKy1GXnA2JS1GSjYmUUkmIzg3NTY7QTMmIzg3ODg7JiM4NzIyO3h+eSYjODcyMjs1fngrNH55RidGL0ZNRlBGYHBGY3BGZ29GZnBGam5GXW9GYG9GZnBGXnEtRl9xNiZGYXFGZHFGZnEvRmlxUSVhdXRvRidGXnEtRko2KFEjQTNGJ0YvLyUlYm9sZEdGT0ZNL0YzUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1GLDYwUSomY29sb25lcTtGJ0YvRmdyL0YzRl1zRltzRjVGOEY6RjxGPkZARkIvRkVRLDAuMjc3Nzc3OGVtRicvRkhGY3MtRiw2MEZZRi9GZ3JGYXNGW3NGNUY4RjpGPEY+RkBGQkZaRmZuLUZKNihGaW5GL0ZnckZNRmlyRltzLUYsNjBRJyZzZG90O0YnRi9GZ3JGYXNGW3NGNUY4RjpGPEY+RkBGQkZERkctRko2KEZfb0YvRmdyRk1GaXJGW3MtRiw2MEZib0YvRmdyRmFzRltzRjVGOEY6RjxGPkZARkJGWkZmbi1GZG82J0Zmb0YvRmdyRmFzRltzRmlzLUYsNjBRIn5GJ0YvRmdyRmFzRltzRjVGOEY6RjxGPkZARkJGREZHRmdzLUYsNjBGaW9GL0ZnckZhc0Zbc0Y1RjhGOkY8Rj5GQEZCRlpGZm4tRmRvNidGXHBGL0ZnckZhc0Zbc0Zpcy1GXnA2JUZcdC1GZG82J0ZicEYvRmdyRmFzRltzRmNwRmV0LUZkbzYnRmhwRi9GZ3JGYXNGW3NGaXNGam5GXHRGXnRGXXUtRiw2MFEiO0YnRi9GZ3JGYXNGW3NGNS9GOUZPRjpGPEY+RkBGQkZERmRzRi9GaXBGMg==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJXNpemVHUSMyMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==

print(); # input placeholder

LCwqJkkieEc2IiIiIkkieUdGJUYmISIiKiYiIiZGJkYkRiZGKComIiIlRiYpRiciIiNGJkYmKiYiIihGJkYnRiZGJkYwRig=

Choose a pair 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. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJXNpemVHUSMyMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==

print(); # input placeholder

LDAqKCIiKiIiIkkieEc2IkYlKUkieUdGJyIiI0YlRiUqKCIjOkYlRiZGJUYpRiVGJSomRipGJSlGKSIiJEYlRiUqJkYvRiVGKEYlRiUqJkYvRiVGKUYlRiUqJiIjNUYlKUYmRipGJSEiIiomIiM5RiVGJkYlRjU=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJXNpemVHUSMyMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==

print(); # input placeholder

LCwiIyYqIiIiKiYiJDUiRiRJInlHNiJGJCEiIiomIiM3RiQpRiciIiNGJEYpKiYiIz5GJClGJyIiJEYkRiQqJiIjZUYkSSJ4R0YoRiRGJA==

Choose a pair 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. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJXNpemVHUSMyMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==

print(); # input placeholder

LDAqKCIiJiIiIkkieEc2IkYlKUkieUdGJyIiI0YlRiUqKCIjNUYlRiZGJUYpRiVGJSokKUYpIiIkRiUhIiIqJkYqRiVGKEYlRjAqJkYkRiVGKUYlRiUqJkYkRiUpRiZGKkYlRjAqJiIiKEYlRiZGJUYw

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 print(); # input placeholder 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 Choose a pair 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. JSFH 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJXNpemVHUSMyMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==

print(); # input placeholder

LDAqKCMiJFIiIiNlIiIiSSJ4RzYiRidJInlHRilGJ0YnKiYjIiNMIiNIRidGKEYnISIiKiQpRioiIiNGJ0YnKiYjIiIkRjJGJ0YqRidGJ0Y0RicqKCMiIidGLkYnRihGJ0YxRidGJyooIyIjPkYmRidGKEYnKUYqRjVGJ0Yv

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJXNpemVHUSMyMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==

print(); # input placeholder

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 print(); # input placeholder JSFH JSFH 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

JSFH Hence 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 is Groebner basis. Note that 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 is the "minimal" Groebner basis.