ZOJ - 3993 - Safest Buildings (数学)】的更多相关文章

参考:https://blog.csdn.net/KuHuaiShuXia/article/details/78408194 题意: 描述了吃鸡刷圈的问题,给出楼的坐标点,和两次刷圈的半径R和r,现在寻找最安全的地方 思路: 判定安全方法:每个点以r为半径画圆,与以原点为圆心,半径为R的圆的重合部分的大小为比较基准 那么问题又转化为与原点的距离 如果R>2r,那么以大圈圆心为圆心的R-2r范围内的建筑的安全概率是相等的. 反之,以大圈圆心为圆心的2*r-R范围内的建筑的安全概率是相等的. 我们只…
题目链接:http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemCode=3993 题意: 给出n幢建筑,每个都以一个点表示,给出点坐标. 有一个以原点为圆心,以R为半径的圆,记为圆O,是原始安全范围: then,安全范围变为在原来那个圆内任意位置的以r为半径的圆(不会超出原来的圆),记为圆P: 求缩圈后,仍在安全范围内的概率最大的,所有的点. 题解: 怎么求概率? 对于一幢建筑(或者说一个点),以其为圆心,做一个以半径为2r的圆Q: 圆…
PUBG is a multiplayer online battle royale video game. In the game, up to one hundred players parachute onto an island and scavenge for weapons and equipment to kill others while avoiding getting killed themselves. BaoBao is a big fan of the game, bu…
Buildings 题目连接: http://acm.hdu.edu.cn/showproblem.php?pid=5301 Description Your current task is to make a ground plan for a residential building located in HZXJHS. So you must determine a way to split the floor building with walls to make apartments…
http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemId=494 题目大意: 一只蜗牛要从爬上n英寸高的地方,他速度为u每分钟,他爬完u需要休息1分钟,且他休息时下滑d英寸,问他什么时候爬出去. 吐槽: 小学的数学题编程了编程题,简直丧心病狂. 思路: 数据量小直接模拟即可. 也可以用数学推导 模拟板: #include<cstdio> int main() { int n,u,d; while(~scanf("%d%d%d…
GCD Expectation Time Limit: 4 Seconds                                     Memory Limit: 262144 KB                             Edward has a set of n integers {a1, a2,...,an}. He randomly picks a nonempty subset {x1, x2,…,xm} (each nonempty subset has…
Ant Time Limit: 1 Second      Memory Limit: 32768 KB There is an ant named Alice. Alice likes going hiking very much. Today, she wants to climb a cuboid. The length of cuboid's longest edge is n, and the other edges are all positive integers. Alice's…
公式推导题,G(0) = 1,G(1) = t,给出一个 i 和 G(i),要求求出G(j)的值: G(0) = 0*t + 1 G(1) = 1*t + 0; 观察t的系数和常数值可以知道二者都遵循斐波那契的规律,设系数值为Y(n),常数值为X(n); G(2) = 1*t + 1; Y(0) = 0,Y(1) = 1; G(3) = 2*t + 1; X(0) = 1, X(1) = 0; G(4) = 3*t + 2; 这样就能求出答案了,最后的t满足要求就有解 G(5) = 5*t +…
Big Number Time Limit: 10 Seconds      Memory Limit: 32768 KB In many applications very large integers numbers are required. Some of these applications are using keys for secure transmission of data, encryption, etc. In this problem you are given a n…
题意: 给出两个半径R,r,R表示第一次的大圈半径,r表示第二次的小圈半径.第一次大圈的圆心位于(0,0),第二次小圈的圆心未知,但在大圈内,给你一个n,然后给出n个屋子的位置,问这些屋子中,第二次在小圈的概率最大的屋子有几个,都是哪些. 思路: 首先分析到如果小圈是一个很小很小的圈,那么靠近原点的区域的这些点的概率是一样的,因为都可以使小圈360度绕着这个点旋转.那么接着分析,如果小圈是个较大的圆,那么原点(0,0)可能是100%被包含的,那么就要找到这个临界情况,发现当R=2*r时,原点是恰…
http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemCode=1796 题意: 四个人玩游戏,已知三个人的输赢情况,求第四个人的输赢情况. 思路: 设第一个人赢的次数为x输的次数为y 则 x+a1+a2+a3=y+b1+b2+b3 x+y=a1+b1 所以 x=(2*b1+b2+b3-a2-a3)/2 y=a1+b1-x #include<iostream> #include<cstdio> using namespace…
A. Balloon Robot 假设机器人$0$时刻位于$0$号位置,那么每个气球所需的时间为$(s_a-b)\bmod m$. 将所有气球按这个时间排序,枚举每个气球的时间作为偏移量,得出最优解即可. 时间复杂度$O(p\log p)$. #include<cstdio> #include<algorithm> using namespace std; typedef long long ll; const int N=1000010; int T,n,m,p,i,s[N];l…
杨宗纬的歌"这一路走来" 还蛮好听的,这首歌静静的躺在我的音乐盒某个阴暗的角落里,今天随机播放才发现的,哈哈. 数学一直是硬伤...... ------------------------------------------------数学硬伤的分割线------------------------------------------------ ZOJ:http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemId=910 POJ…
题目传送门 /* 杭电一题(ACM_steps 2.2.4)的升级版,使用到高精度: 这次不是简单的猜出来的了,求的是GCD (n, k) == 1 最大的k(1, n/2): 1. 若n是奇数,则k = (n-1) / 2: 2. 若n是偶数,讨论(n-1)/2 的奇偶性,若不是奇数,则是n/2-2: 详细解释(证明):http://www.xuebuyuan.com/1552889.html */ #include <cstdio> #include <iostream> #i…
题目链接: POJ:id=3100" style="font-size:18px">http://poj.org/problem? id=3100 ZOJ:http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemId=1818 HDU:pid=2740">http://acm.hdu.edu.cn/showproblem.php?pid=2740 Description Given positive…
Ones Time Limit: 2 Seconds      Memory Limit: 65536 KB Given any integer 0 <= n <= 10000 not divisible by 2 or 5, some multiple of n is a number which in decimal notation is a sequence of 1's. How many digits are in the smallest such a multiple of n…
ZOJ Problem Set - 3593 http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemCode=3593 One Person Game Time Limit: 2 Seconds      Memory Limit: 65536 KB There is an interesting and simple one person game. Suppose there is a number axis under your f…
题目链接:http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemCode=3230 Programming is fun, Aaron is addicted to it. In order to improve his programming skill, he decides to solve one programming problem per day. As you know, different problems have d…
题目传送门 /* 题意:n*m列的矩阵,删除一个格子x,y.用矩形来填充矩阵.且矩形至少有一边是在矩阵的边缘上. 求满足条件的矩形填充方式中面积最大的矩形,要使得该最大矩形的面积最小. 分析:任何矩形都可以分为宽度为1的小矩形,所以只考虑矩形的可以的最小长度即可. 讨论方法:这里 (我不会...) */ #include <cstdio> #include <algorithm> #include <cstring> using namespace std; typed…
Flip and Shift Time Limit: 2 Seconds      Memory Limit: 65536 KB This puzzle consists of a random sequence of m black disks and n white disks on an oval-shaped track, with a turnstile capable of flipping (i.e., reversing) three consecutive disks. In…
题意: 最多有2000组测试样例,每组样例代表n,m; n代表要把蛋糕平分的份数,m代表必须进行多少次操作. 一共有三种操作 1.竖切   经过蛋糕圆心,将蛋糕整个向下切. 2.横切   平行于蛋糕平面进行平切. 3.复制某块小蛋糕    这种操作只能在1和2所有操作都进行完才能进行. 求: 最少进行多少次复制操作可以将蛋糕分为一样的恰好n种.注意需要用恰好m次操作. 如果没有可行解输出-1. 思路: 假设进行三种操作的数目分别是xyz.然后连立两个式子把z消掉,get 2x(y+1)-(x+y…
题意: 输入数据n,m.n代表工厂的数量,m代表城市的数量. 接下来n+m行为工厂和城市的坐标. 规定如图所示方向刮风,工厂的air会污染风向地区的air. 注意,工厂和城市的坐标表示的是从x到x+1从y到y+1之间小正方形都是工厂区域,规定如果只有一个coner的air被污染那么该地区视为无污染. 要求输出有多少不被污染的城市. 坑: 思考了很多问题.... 1.加入某城市的正下方是工厂怎么办...这个是否算污染. 2.假如有两个角被污染了怎么办...算污染吗. 坑了一整天.没办法找大神的代码…
主题链接:problemCode=2679" target="_blank">http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemCode=2679 Among grandfather��s papers a bill was found: 72 turkeys $_679_ The first and the last digits of the number that obviously represent…
主题链接: PKU:http://poj.org/problem?id=3652 ZJU:http://acm.zju.edu.cn/onlinejudge/showProblem.do? problemId=1933 HDU:http://acm.hdu.edu.cn/showproblem.php?pid=2721 Description WhatNext Software creates sequence generators that they hope will produce fai…
主题链接:problemId=1680" target="_blank">http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemId=1680 There is an analog clock with two hands: an hour hand and a minute hand. The two hands form an angle. The angle is measured as the small…
题目链接: HDU:http://acm.hdu.edu.cn/showproblem.php?pid=4791 ZJU:http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemId=5072 Problem Description Alice is providing print service, while the pricing doesn't seem to be reasonable, so people using her pr…
2^x mod n = 1 Time Limit: 2 Seconds      Memory Limit:65536 KB Give a number n, find the minimum x that satisfies 2^x mod n = 1. Input One positive integer on each line, the value of n. Output If the minimum x exists, print a line with 2^x mod n = 1.…
There is a very simple and interesting one-person game. You have 3 dice, namely Die1, Die2 and Die3. Die1 has K1 faces. Die2 has K2 faces. Die3 has K3 faces. All the dice are fair dice, so the probability of rolling each value, 1 to K1, K2, K3 is exa…
Numerical Summation of a Series Time Limit: 10 Seconds      Memory Limit: 32768 KB      Special Judge Produce a table of the values of the series Equation 1 for the 2001 values of x, x= 0.000, 0.001, 0.002, ..., 2.000. All entries of the table must h…
题目链接: http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemCode=2818 题目描述: Given positive integers B and N, find an integer A such that AN is as close as possible to B. (The result A is an approximation to the Nth root of B.) Note that AN may be l…