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436
Young black-hat hacker Vasya routinely installs key loggers on every computer he can get his hands on. Browsing the logs collected, he sometimes can glance passwords of unaware users. The IT department of the university where Vasya studies noticed suspicious activity and introduced a new, more secure way to enter passwords. Instead of password input field, window with 9 buttons is displayed. Buttons are arranged into 3 × 3 grid as shown in the table below. 789 456 123 Each butt ...
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One year and a half after owning his first art gallery, RoBa has recently built his second art gallery. Just like before, in order to protect his cherished artworks from theft, he has hired security guards. In addition, He wants to install one or two surveillance cameras so that he can watch by himself day and night everything happening inside the gallery. RoBa is reusing his plan of camera monitoring which has proved working with his first gallery. The gallery has a nice shape of a ...
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435
We are given a figure consisting of only horizontal and vertical line segments. Our goal is to count the number of all different rectangles formed by these segments. As an example, the number of rectangles in the Figures 1 and 2 are 5 and 0 respectively. There are many intersection points in the figure. An intersection point is a point shared by at least two segments. The input line segments are such that each intersection point comes from the intersection of exactly one horizontal segment ...
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434
The Flathead Testing Corporation (FTC) supplies various tests for Human Resources departments at many companies. One type of test they supply includes spatial concepts questions such as: When the following figure is folded back on the interior lines it forms a cube. Which of the following could be an image of one corner of the resulting cube? Unfortunately, FTC was recently embarrassed when one such question on a test had no solution among the choices and another (given in the exam ...
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433
ACM decided to run a big advertising campaign. Beside others, it will sponsor soccer tournaments by providing them with a system for computing and displaying game results. You are to write that system. 输入描述 The input contains description of several tournaments. Each tournament begins with a line containing single positive integer N: the number of participating teams, N ≤ 80. Then there are N lines, each containing a unique name of one team. The name is case-sensitive and may be compo ...
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426
Given a n × n matrix A and a positive integer k, find the sum S = A + A 2 + A 3 + … + Ak . 输入描述 The input contains exactly one test case. The first line of input contains three positive integers n (n ≤ 30), k (k ≤ 109) and m (m < 104). Then follow n lines each containing n nonnegative integers below 32,768, giving A’s elements in row-major order. 输出描述 Output the elements of S modulo m in the same way as A is given. 输入例子 2 2 4 0 1 1 1 输出例子 1 2 2 3 ...
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418
The village's carpentry is located by a hill side. The carpenter's two little boys play with a piece of wood which looks like a deformed wheel with two identical convex polygon-shaped faces. One boy sets the wooden wheel on a slope at the hill top and let it roll down. The other boy is to quickly place himself at where he guesses the rolling wood would stop. Your program is to help him make the right guess. More formally, we consider the wooden wheel as a simple convex polygon and we approxima ...
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411
The wide dissemination of calculators and computers is not without disadvantages. Teachers all over the world find out that even students in technical disciplines tend to have a surprising lack of calculating ability. Accustomed as they are to the use of calculators and computers, many of them are unable to make calculations like 7*8 mentally, or to factor 91 by heart. We all know, but who cares? Professor Bartjens cares. Professor Bartjens is a bit old-fashioned. He decided to give his studen ...
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