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In order to encourage employees' productivity, ACM Company has made a new policy. At the beginning of a period, they give a list of tasks to each employee. In this list, each task is assigned a "productivity score". After the first K days, the employee who gets the highest score will be awarded bonus salary. Due to the difficulty of tasks, for task i-th: It must be done from hh_Li : mm_Li : ss_Li to hh_Ri : mm_Ri : ss_Ri . This range of time is estimated very strictly s ...
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Astronomers often examine star maps where stars are represented by points on a plane and each star has Cartesian coordinates. Let the level of a star be an amount of the stars that are not higher and not to the right of the given star. Astronomers want to know the distribution of the levels of the stars. For example, look at the map shown on the figure above. Level of the star number 5 is equal to 3 (it's formed by three stars with a numbers 1, 2 and 4). And the levels of the stars numbered b ...
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Bessie noted that although humans have many universities they can attend, cows have none. To remedy this problem, she and her fellow cows formed a new university called The University of Wisconsin-Farmside,"Moo U" for short. Not wishing to admit dumber-than-average cows, the founders created an incredibly precise admission exam called the Cow Scholastic Aptitude Test (CSAT) that yields scores in the range 1..2,000,000,000. Moo U is very expensive to attend; not all calves can afford it.In fa ...
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A lattice point is a point with integer coordinates. A lattice polygon is a polygon with all vertices lattice points. The lattice points on the boundary of the polygon are boundary points (open dots in the figure above) and the points inside and not on the polygon are interior points (filled in dots in the figure above). A polygon is convex if any line segment between two points of the polygon is inside (or on the boundary of) the polygon. Equivalently, the interior angle at ea ...
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Lambert has two scanned images of a sky chart. These two images look identical except that they are rotated and scaled with different parameters with respect to the same center. Lambert wants to know the smallest angle one of the images has to be rotated so that the two images coincide if appropriately scaled. 输入描述 The input contains multiple test cases. Each test case begins with a line containing a positive integer n (1 ≤ n ≤ 1 000 000), the number of stars shown in each image. T ...
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DDL is a very simple programming language in which variables are dynamically declared at run time. All variables in DDL are of the signed integer type within the range -9999...9999. There are up to five types of statements in a DDL program (each statement is in a separate program line, and the first statement is in line 1): 1. Dcl Dcl is a keyword specifying a declaration statement. id is a single (case-sensitive) letter designating a DDL variable. For example Dcl x when executed correctly, ...
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Windy has a country, and he wants to build an army to protect his country. He has picked up N girls and M boys and wants to collect them to be his soldiers. To collect a soldier without any privilege, he must pay 10000 RMB. There are some relationships between girls and boys and Windy can use these relationships to reduce his cost. If girl x and boy y have a relationship d and one of them has been collected, Windy can collect the other one with 10000-d RMB. Now given ...
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Beside other services, ACM helps companies to clearly state their “corporate identity”, which includes company logo but also other signs, like trademarks. One of such companies is Internet Building Masters (IBM), which has recently asked ACM for a help with their new identity. IBM do not want to change their existing logos and trademarks completely, because their customers are used to the old ones. Therefore, ACM will only change existing trademarks instead of creating new ones. Af ...
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We can number binary trees using the following scheme: The empty tree is numbered 0. The single-node tree is numbered 1. All binary trees having m nodes have numbers less than all those having m+1 nodes. Any binary tree having m nodes with left and right subtrees L and R is numbered n such that all trees having m nodes numbered > n have either Left subtrees numbered higher than L, or A left subtree = L and a right subtree numbered higher than R. The first 10 binary trees and tree number 2 ...
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While solving non-linear equations in numerical analysis lesson, professor Busoniya introduce us Newton's Method. Like the other ways (such as bisection, Muller's Method), this method is also based on a linear approximation of the function, but does so using a tangent to the curve. The figure below gives a graphical description. Starting from a single initial estimate, x0 , which is not too far from a root, we move along the tangent to its intersection with the x-axis, an ...
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