CF140E New Year Garland (计数问题)】的更多相关文章

用$m$种颜色的彩球装点$n$层的圣诞树.圣诞树的第$i$层恰由$a_{i}$个彩球串成一行,且同一层内的相邻彩球颜色不同,同时相邻两层所使用彩球的颜色集合不 同.求有多少种装点方案,答案对$p$取模. 好神的计数问题,zwz Orz 题解思路来自黄学长hzwer的博客 先只考虑在一行内的彩球的方案数 定义$g[i][j]$表示一共有$i$个球串成一行,一共用了$j$种颜色的方案数 因为所有颜色都是等价的,我们可以利用最小表示法来简化计数,比如让颜色编号为$x+1$的球第一次出现的位置,在颜色编…
Description 用$m$种颜色的彩球装点$n$层的圣诞树.圣诞树的第$i$层恰由$l[i]$个彩球串成一行,且同一层内的相邻彩球颜色不同,同时相邻两层所使用彩球的颜色集合不同. 求有多少种装点方案,答案对$p$取模. 只要任一位置上的彩球颜色不同,就算作不同的方案. Input 第一行三个整数$n,m,p$,表示圣诞树的层数.彩球的颜色数和取模的数. 接下来一行包含$n$个整数,表示$l[i]$. Output 一个整数表示答案. Sample Input 3 2 1000 3 1 2…
数论什么的全都忘光了吧QAQ 做了几道简单的题练习一下. bzoj1101: [POI2007]Zap 求有多少对数满足 gcd(x,y)=d, 1<=x<=a, 1<=y<=b 首先那个d肯定是要除下去的, 变成 gcd(x,y) = 1, 1<=x<=a, 1<=y<=b这样一个问题. 这样就变成了最经典的莫比乌斯反演, 设f(d)为 gcd(x,y) = d, 1<=x<=a, 1<=y<=b时满足要求的x,y的个数,F(d)…
POJ 1759 Garland  这个题wa了27次,忘了用一个数来储存f[n-1],每次由于二分都会改变f[n-1]的值,得到的有的值不精确,直接输出f[n-1]肯定有问题. 这个题用c++交可以过,g++交过不了, f[i]=2+2*f[i-1]-f[i-2]; f[0]=A,f[1]=x; 二分枚举x的值,最终得到B的值(不是f[n-1]), 上述递推式是非齐次的二阶递推式,解其齐次特征方程,可以得到f[n-1]的齐次时的表达式,对于非齐次的,目前我还没法求出通式, B与f[n-1]的关…
Description The New Year garland consists of N lamps attached to a common wire that hangs down on the ends to which outermost lamps are affixed. The wire sags under the weight of lamp millimeter lower than the average height of the two adjacent lamps…
承接上文,发现在使用Python C/C++ API扩展Python模块时,总要在各种各样的地方考虑到引用计数问题,稍不留神可能会导致扩展的模块存在内存泄漏.引用计数问题是C语言扩展Python模块最头疼的地方,需要由程序员对使用的每个C API都要充分了解,甚至要熟悉源码才能精确掌握什么时候引用计数加一,什么时候减一. 本文为翻译文章,我觉得对于源码中的引用计数讲解得比较清楚,所以就翻译为中文.http://edcjones.tripod.com/refcount.html# Summary:…
Garland Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 2365   Accepted: 1007 Description The New Year garland consists of N lamps attached to a common wire that hangs down on the ends to which outermost lamps are affixed. The wire sags…
置换群.Burnside引理与等价类计数问题 标签: 置换群 Burnside引理 置换 说说我对置换的理解,其实就是把一个排列变成另外一个排列.简单来说就是一一映射.而置换群就是置换的集合. 比如\[ \left(\begin{array}1 1 & 2 & 3 & 4 & 5 \\ 5 & 3 & 4 & 2 & 1 \end{array}\right) \]是一个置换.也可以把置换看做定义域和值域都为{1,2,......,n}的函数,…
C. Nice Garland time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output You have a garland consisting of nn lamps. Each lamp is colored red, green or blue. The color of the ii-th lamp is sisi ('R',…
D. Diverse Garland time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output You have a garland consisting of nn lamps. Each lamp is colored red, green or blue. The color of the ii-th lamp is sisi ('…
You have a garland consisting of nn lamps. Each lamp is colored red, green or blue. The color of the ii-th lamp is sisi ('R', 'G' and 'B' — colors of lamps in the garland). You have to recolor some lamps in this garland (recoloring a lamp means chang…
You have a garland consisting of nn lamps. Each lamp is colored red, green or blue. The color of the ii-th lamp is sisi ('R', 'G' and 'B' — colors of lamps in the garland). You have to recolor some lamps in this garland (recoloring a lamp means chang…
题目大意: Welcome to SAO ( Strange and Abnormal Online).这是一个 VR MMORPG, 含有 n 个关卡.但是,挑战不同关卡的顺序是一个很大的问题. 有 n – 1 个对于挑战关卡的限制,诸如第 i 个关卡必须在第 j 个关卡前挑战, 或者完成了第 k 个关卡才能挑战第 l 个关卡.并且,如果不考虑限制的方向性, 那么在这 n – 1 个限制的情况下,任何两个关卡都存在某种程度的关联性.即, 我们不能把所有关卡分成两个非空且不相交的子集,使得这两个…
题目链接:http://codeforces.com/problemset/problem/1108/D time limit per test 1 secondmemory limit per test 256 megabytesinput standard inputoutput standard output You have a garland consisting of n lamps. Each lamp is colored red, green or blue. The colo…
You have a garland consisting of nn lamps. Each lamp is colored red, green or blue. The color of the ii-th lamp is sisi ('R', 'G' and 'B' — colors of lamps in the garland). You have to recolor some lamps in this garland (recoloring a lamp means chang…
B. Blown Garland time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output Nothing is eternal in the world, Kostya understood it on the 7-th of January when he saw partially dead four-color garland.…
OwO 良心的FFT练手题,包含了所有的多项式基本运算呢 其中一部分解法参考了myy的uoj的blog 二分图计数 1: 实际是求所有图的二分图染色方案和 我们不妨枚举这个图中有多少个黑点 在n个点中选出k个黑点的方案为C(n,k) 白点和黑点之间任意连边,方案为2^(k*(n-k)) 所以得到f(n)=sigma(C(n,k)*2^(k*(n-k)) 由于本题只需要求解一个f(n),枚举并计算就可以了 更高端一点的做法是这样的: 我们可以利用在<DAG计数问题 题解报告>中提到的技巧将n*k…
As Gerald, Alexander, Sergey and Gennady are already busy with the usual New Year chores, Edward hastily decorates the New Year Tree. And any decent New Year Tree must be decorated with a good garland. Edward has lamps of m colors and he wants to mak…
B. Blown Garland time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output Nothing is eternal in the world, Kostya understood it on the 7-th of January when he saw partially dead four-color garland.…
LOJ #6089. 小 Y 的背包计数问题 神仙题啊orz. 首先把数分成\(<=\sqrt n\)的和\(>\sqrt n\)的两部分. \(>\sqrt n\)的部分因为最多选\(\sqrt n\)个数,所以数量就没有卵用了.然后就用完全背包的一个常见套路(?)可以对一个空的序列整体+1或者在最左边加上一个\(\sqrt n+1\),这个操作序列和完全背包的选择方案一一对应.感性理解一下是对的emmmm,复杂度\(O(n\sqrt n)\) \(<=\sqrt n\)的部分只…
[LOJ6089]小Y的背包计数问题(动态规划) 题面 LOJ 题解 神仙题啊. 我们分开考虑不同的物品,按照编号与\(\sqrt n\)的关系分类. 第一类:\(i\le \sqrt n\) 即需要考虑所有的情况,那么设\(f[i][j]\)表示前\(i\)个物品装了体积\(j\)的方案数. 显然\(f[i][j]=\sum_{k=1}^i f[i][j-k*i]\)转移过来,那么按照\(i\)分剩余类,前缀和转移即可. 这一部分的复杂度是\(O(n\sqrt n)\) 第二类:\(i\ge…
这是一道很综合的计数问题,对于思维的全面性,解法的过渡性,代码能力,细节处理,计数问题中的各种算法,像gcd.容斥.类欧几里德算法都有考察.在省选模拟赛中做到了这题,然而数据范围是n,m小于等于1000.首先有一个O(n^4m^4)的暴力.然后开始计数,思路是:答案等于任取4个点的方案数+2*取4个点不为凸的方案.前一部分相对来说容易统计,先用组合数算所有的,再把存在3点.4点共线的矩形的贡献减掉就好了.这里用到了矩形框的思路,利用了容斥,而且在计数的时候用gcd作为工具,这个思路下面还会用到,…
思路看这篇博客就行了:https://www.cnblogs.com/zhouzhendong/p/CF1109D.html, 讲的很好 今天学到了prufer编码,这是解决树上计数问题的一大利器,博客:https://www.cnblogs.com/jianglangcaijin/p/5989930.html #include <bits/stdc++.h> #define LL long long using namespace std; const int mod = 100000000…
In most professional sporting events, cheerleaders play a major role in entertaining the spectators. Their roles are substantial during breaks and prior to start of play. The world cup soccer is no exception. Usually the cheerleaders form a group and…
P4054 [JSOI2009]计数问题 题目描述 一个n*m的方格,初始时每个格子有一个整数权值.接下来每次有2种操作: 改变一个格子的权值: 求一个子矩阵中某种特定权值出现的个数. 输入输出格式 输入格式: 第一行有两个数N,M. 接下来N行,每行M个数,第i+1行第j个数表示格子(i,j)的初始权值. 接下来输入一个整数Q. 之后Q行,每行描述一个操作. 操作1:"1 x y c"(不含双引号).表示将格子(x,y)的权值改成c(1<=x<=n,1<=y<…
You have a garland consisting of nn lamps. Each lamp is colored red, green or blue. The color of the ii-th lamp is sisi ('R', 'G' and 'B' - colors of lamps in the garland). You have to recolor some lamps in this garland (recoloring a lamp means chang…
You have a garland consisting of nn lamps. Each lamp is colored red, green or blue. The color of the ii-th lamp is sisi ('R', 'G' and 'B' - colors of lamps in the garland). You have to recolor some lamps in this garland (recoloring a lamp means chang…
Lightning Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 1457    Accepted Submission(s): 469 Problem Description There are N robots standing on the ground (Don't know why. Don't know how). Sudd…
C. Garland time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output Once at New Year Dima had a dream in which he was presented a fairy garland. A garland is a set of lamps, some pairs of which are…
题目链接:http://poj.org/problem?id=1759 Garland Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 2477   Accepted: 1054 Description The New Year garland consists of N lamps attached to a common wire that hangs down on the ends to which outermo…