Definition: In this task, you are given a second sentence. Your task is to generate the first sentence on the same topic but incoherent and inconsistent with the second sentence.

Positive Example 1 -
Input: Additionally , they donated US $200,000 to the All Souls Hospital in Morristown , New Jersey , US $100,000 of which were donated specifically by his wife .
Output: They also supported an all girls ' school in Saint - Briac - sur - Mer , Brittany , France .

Positive Example 2 -
Input: For example , an interaction with CD40 on T - cells induced their proliferation inhibition and cell death .
Output: However , it can also interact with other proteins ( CLEC7A , CD137 , CD40 ) .

Negative Example 1 -
Input: Instead , the stadium was opened a few years later .
Output: There is no difference in the design standard of this section compared with the rest of the expressway .

Negative Example 2 -
Input: However , the German authorities refused to let him back into the country , so he was forced to remain incarcerated in Russia .
Output: That crisis prompted the third partial Air National Guard mobilization since the end of World War II , and eventually two ANG fighter squadrons were dispatched to South Korea .

Now complete the following example -
Input: Therefore , the remainder of this article will be restricted to the quotients of polynomial rings by ideals .
Output: 


Output: Thus , the graded algebras generated by elements of degree 1 are exactly , up to an isomorphism , the quotients of polynomial rings by homogeneous ideals .