FIll in the blanks. In 1912, the world's top mathematicians began to receive letters which were full of incredibly complex formulae. They came from Madras,in India, (7)______where________ a 23-year-old accounts clerk named Srinivasa Ramanujan had seemingly (8)_____________ up with hundreds of new solutions to known mathematical problems (9)______________ any form of assistance or training. For the most (10)______________ the professional mathematicians' response was the usual one (11)______________ faced with eccentric letters: they consigned them straight (12)_______________ the bin. But in 1913, some reached G. H. Hardy, a leading authority in number theory at Cambridge University. He, too, initially dismissed the letters (13)______________ the work of an eccentric, but unable to (14)______________ them out of his head, he eventually subjected them to closer scrutiny. After a few hours, Hardy arrived (15)______________ the conclusion' that what he had (16)______________ him was the work of a mathematical genius, a view confirmed by colleagues with (17)______________ he shared his discovery. Before very (18), Ramanujan had received an invitation to Cambridge and, once there, he soon proved (19) worth. A fruitful collaboration with Hardy (20) in the opening up of vast areas of mathematical research, still being worked on to(10) day.