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The world's largest electricity generating plant (as at 2010), the Three Gorges Dam, is in which country: Argentina; China; or Canada?
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Who said China is a big country inhabited by many Chinese
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When was the People's Republic of China founded?
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In China if you order white tea - what do you get
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Globo Esporte, which carried the headline 'HAHAHAHAHAHAHA' following Argentina's 4-0 defeat by Germany in the 2010 FIFA World Cup, is a newspaper in which country?
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  • Q After the news of escape of the prisoners of war slowly sinks in, a surge of excitement sweeps through the people. Banking on this new found confidence, Hillarrow decides to seek revenge. She has resolved to destroy Stud man from the base. But after discussion with the her military commanders, she learnt that the military capability of her country was reduced to almost nil. But they had valuable intelligence data which was brought in by the escaped prisoners of war. This data consisted of military target points in I-Rock. But to her disappointment Hillarrow discovered that they could bomb only three of the targets. But if they used SS3 missiles they could destroy the whole triangle enclosed by targets. But since only 3 targets can be bombed they want to cause maximum damage to the I-Rock by destroying the most area. But they have very little time since Stud man has been alerted. So the challenge is to find the three points which form the max area. In short: given co-ordinates of N points , find the 3 points which form the max area triangle. Input Format: The Number N on a line by itself. After that are specified the co-ordinates of the N points in x y format ( one per line ). The co-ordinates have integer values. Output: The value of the max area. Epilogue: After all this action, earth was hit by a comet named Shumankaren and was blown away to pieces. Please note: the area of a triangle (x1,y1),(x2,y2),(x3,y3) is given by A = 1/2 * |x1*y2 - x2*y1 + x2*y3 - x3*y2 + x3*y1 - x1*y3| Many people used Heron's Formula (Semi-perimeter formula), which requires longer time for computation, and hence even their brute force algorithms timed out. Naive Algorithm: O(n^3) algorithm by searching through all triangles. Winner 1's Algorithm: First find convex hull and then do a brute first search on the convex hull. Winner 2's Algorithm: Brute force search through all triangles, optimizing by reducing 1 multiplication. Winner 3's Algorithm: Same as above. Most surprising entry: Submitted by He optimized the multiplications so well to take the advantage of the cache, that he got all the test cases right. Our Algorithm: O(n^2 log n). First find the convex hull -- O(n log n). The convex hull is stored in a clockwise sorted order. For each line segment on the convex hull binary search through the hull for the maximum area. O(n^2) edges, for each edge binary search takes O(log n) time, hence order of algorithm = O(n^2 log n). Best Algorithm we received (Submitted by O(n^2) First find convex hull -- O(n log n). For each point x on the convex hull keep two pointers a & b. Rotate b clockwise along the convex hull, rotate a, clockwise along the convex hull s.t. area of triangle xab is maximum, and pointer a will always remain behind pointer b. Total no. of points O(n), and for each point b makes at most 1 rotation about the hull, (hence so also does a). So no. of iterations for each point is O(n). Hence order of algorithm -- O(n^2).
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