In this task, you're given two sentences. Indicate if the first sentence clearly entails the second sentence (i.e., one can conclude the 2nd sentence by reading the 1st one). Indicate your answer with '1' if the first sentence entails the second sentence, otherwise answer with '0'.

Input: Consider Input: Sentence 1: Winning Team John C. Harsanyi, John F. Nash and Reinhard Selten were jointly awarded the Nobel Prize in Economics. The three professors were singled out for their unique contributions to game theory, derived from studies of games such as poker or chess, in which players have to think ahead and devise a strategy based on expected countermoves from opponents. Sentence 2: Three scholars shared a Nobel Prize for their studies about the game theory.

Output: 1


Input: Consider Input: Sentence 1: In an address to the IAEA board of governors in Vienna, Hans Blix said a technical team that visited North Korea last month found that "facilities subject to the freeze were not in operation and that construction work had stopped." Sentence 2: Hans Blix is the director general of IAEA.

Output: 0


Input: Consider Input: Sentence 1: French is the mother tongue of 80.9 percent of Québeckers, while 7.8 percent cite English as their mother tongue. Sentence 2: French is the most widely spoken language in Québec.


Output: 1