pie

Description
My birthday is coming up and traditionally I'm serving pie. Not just one pie, no, I have a number N of them, of various tastes and of various sizes. F of my friends are coming to my party and each of them gets a piece of pie. This should be one piece of one pie, not several small pieces since that looks messy. This piece can be one whole pie though.

My friends are very annoying and if one of them gets a bigger piece than the others, they start complaining. Therefore all of them should get equally sized (but not necessarily equally shaped) pieces, even if this leads to some pie getting spoiled (which is better than spoiling the party). Of course, I want a piece of pie for myself too, and that piece should also be of the same size.

What is the largest possible piece size all of us can get? All the pies are cylindrical in shape and they all have the same height 1, but the radii of the pies can be different.

Input
One line with a positive integer: the number of test cases. Then for each test case:
---One line with two integers N and F with 1 <= N, F <= 10 000: the number of pies and the number of friends.
---One line with N integers ri with 1 <= ri <= 10 000: the radii of the pies.

Output
For each test case, output one line with the largest possible volume V such that me and my friends can all get a pie piece of size V. The answer should be given as a floating point number with an absolute error of at most 10^(-3).

Sample Input
3
3 3
4 3 3
1 24
5
10 5
1 4 2 3 4 5 6 5 4 2

Sample Output
25.1327
3.1416
50.2655

1个回答

pie
DescriptionnMy birthday is coming up and traditionally I'm serving pie. Not just one pie, no, I have a number N of them, of various tastes and of various sizes. F of my friends are coming to my party and each of them gets a piece of pie. This should be one piece of one pie, not several small pieces since that looks messy. This piece can be one whole pie though. nnMy friends are very annoying and if one of them gets a bigger piece than the others, they start complaining. Therefore all of them should get equally sized (but not necessarily equally shaped) pieces, even if this leads to some pie getting spoiled (which is better than spoiling the party). Of course, I want a piece of pie for myself too, and that piece should also be of the same size. nnWhat is the largest possible piece size all of us can get? All the pies are cylindrical in shape and they all have the same height 1, but the radii of the pies can be different. n nInputnOne line with a positive integer: the number of test cases. Then for each test case: n---One line with two integers N and F with 1 <= N, F <= 10 000: the number of pies and the number of friends. n---One line with N integers ri with 1 <= ri <= 10 000: the radii of the pies. n nOutputnFor each test case, output one line with the largest possible volume V such that me and my friends can all get a pie piece of size V. The answer should be given as a floating point number with an absolute error of at most 10^(-3).n nSample Inputn3n3 3n4 3 3n1 24n5n10 5n1 4 2 3 4 5 6 5 4 2n nSample Outputn25.1327n3.1416n50.2655
float pie float pie float pie float pie
float piefloat pie float pie float pie float pie
Pie
Problem DescriptionnMy birthday is coming up and traditionally I'm serving pie. Not just one pie, no, I have a number N of them, of various tastes and of various sizes. F of my friends are coming to my party and each of them gets a piece of pie. This should be one piece of one pie, not several small pieces since that looks messy. This piece can be one whole pie though.nnMy friends are very annoying and if one of them gets a bigger piece than the others, they start complaining. Therefore all of them should get equally sized (but not necessarily equally shaped) pieces, even if this leads to some pie getting spoiled (which is better than spoiling the party). Of course, I want a piece of pie for myself too, and that piece should also be of the same size. nnWhat is the largest possible piece size all of us can get? All the pies are cylindrical in shape and they all have the same height 1, but the radii of the pies can be different.nInputnOne line with a positive integer: the number of test cases. Then for each test case:n---One line with two integers N and F with 1 <= N, F <= 10 000: the number of pies and the number of friends.n---One line with N integers ri with 1 <= ri <= 10 000: the radii of the pies.nOutputnFor each test case, output one line with the largest possible volume V such that me and my friends can all get a pie piece of size V. The answer should be given as a floating point number with an absolute error of at most 10^(-3).nSample Inputn3n3 3n4 3 3n1 24n5n10 5n1 4 2 3 4 5 6 5 4 2nSample Outputn25.1327n3.1416n50.2655
Pie(二分）
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Pie Bridge
It is the Valentine's day! Yue Lao decides to have a meeting for the magpies to construct the pie bridge(magpie bridge). There are N magpies in the sky. In order to hold a meeting, Yue Lao should make all the magpies at the same place in the same time.nnA magpie can be consider as a dot in the 2d-plane. Initially, all the magpies stay still in some place. The only instruction Yue Lao can do is to push a magpie. Yue Lao can push a magpie in any direction. After Yue Lao pushs a magpie, the magpie starts moving in that direction with a constant speed. Yue Lao's power is limited, so there is a limit for the speed of the magpie: the horizontal speed can't exceed vx and the vertical speed can't exceed vy.nnYue Lao can push a magpie at most once. Besides, Yue Lao can't push magpies too often. After a push, he needs to rest at least t seconds for the next push. When two magpies meet at the same point, they will not collide with each other and will stay moving or stay still.nnNow the question is, what is the minumum time it needs to take for Yue Lao to achieve his goal (make all the magpies moves to the same place at the same time)?nnInputnnThere are multiple test cases. There are two parts for each case. The first part is one line with four integers N, vx, vy and t (2 <= N <= 9, 0 < vx, vy <= 100, 0 <= t <= 100), represent the number of magpies, the horizontal speed limit, the vertical speed limit, and the time interval Yue Lao needs to rest between two pushes. The second part consists with N lines. Each line consists of two integers xi and yi (-1000000 <= xi, yi <= 1000000), represent the coordinate for the ith magpie. There will not be two different magpies in the same point initially.nnOutputnnThe output of each test case should be a single line, the minimum time for Yue Lao to achieve his goal. All result that have relative or absolute error less than 1E-6 will be accepted.nnSample Inputnn2 1 1 1n0 0n0 7nSample Outputnn4.000000000000000
poj3122 Pie 二分
DescriptionMy birthday is coming up and traditionally I’m serving pie. Not just one pie, no, I have a number N of them, of various tastes and of various sizes. F of my friends are coming to my party an

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Problem Description My birthday is coming up and traditionally I'm serving pie. Not just one pie, no, I have a number N of them, of various tastes and of various sizes. F of my friends are coming
Pie[二分]

My birthday is coming up and traditionally I'm serving pie. Not just one pie, no, I have a number N of them, of various tastes and of various sizes. F of my friends are coming to my party and each of
pie(二分）
Problem Description My birthday is coming up and traditionally I'm serving pie. Not just one pie, no, I have a number N of them, of various tastes and of various sizes. F of my friends are coming to ...
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Devil’s Pie是一个运行在类UNIX操作系统下，可为X11标准的桌面环境定制窗口规则的工具。 通过它，你可以为不同的程序、不同的窗口定制特定的规则。例如在哪个工作区打开、放在屏幕上哪个位置等等。这可以极大地节约我们在图形界面下工作的时间。
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My birthday is coming up and traditionally I’m serving pie. Not just one pie, no, I have a number N of them, of various tastes and of various sizes. F of my friends are coming to my party and each of t
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setpropex pie

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DescriptionnnThe Pizazz Pizzeria prides itself in delivering pizzas to its customers as fast as possible. Unfortunately, due to cutbacks, they can afford to hire only one driver to do the deliveries. He will wait for 1 or more (up to 10) orders to be processed before he starts any deliveries. Needless to say, he would like to take the shortest route in delivering these goodies and returning to the pizzeria, even if it means passing the same location(s) or the pizzeria more than once on the way. He has commissioned you to write a program to help him.nnInputnnInput will consist of multiple test cases. The first line will contain a single integer n indicating the number of orders to deliver, where 1 ≤ n ≤ 10. After this will be n + 1 lines each containing n + 1 integers indicating the times to travel between the pizzeria (numbered 0) and the n locations (numbers 1 to n). The jth value on the ith line indicates the time to go directly from location i to location j without visiting any other locations along the way. Note that there may be quicker ways to go from i to j via other locations, due to different speed limits, traffic lights, etc. Also, the time values may not be symmetric, i.e., the time to go directly from location i to j may not be the same as the time to go directly from location j to i. An input value of n = 0 will terminate input.nnOutputnnFor each test case, you should output a single number indicating the minimum time to deliver all of the pizzas and return to the pizzeria.nnSample Inputnn3n0 1 10 10n1 0 1 2n10 1 0 10n10 2 10 0n0nSample Outputnn8
pie图
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【杭电1969】Pie

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this is the question to solve this , we should use some method called binary search the solution , when we examine one possible answer , we see if the ans ( pie size) and be depart to all the friends.