GCD of Sequence Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 46    Accepted Submission(s): 14 Problem Description Alice is playing a game with Bob.Alice shows N integers a1, a2, …, aN, and M,…

Y Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 60    Accepted Submission(s): 20 Problem Description   Sample Input 4 1 2 1 3 1 4   Sample Output 1 Hint 1. The only set is {2,3,4}. 2. Please…

Prince and Princess Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)Total Submission(s): 150    Accepted Submission(s): 46 Problem Description There are n princes and m princesses. Princess can marry any prince. But…

先放知识点: 莫比乌斯反演 卢卡斯定理求组合数 乘法逆元 快速幂取模 GCD of Sequence Alice is playing a game with Bob. Alice shows N integers a 1, a 2, -, a N, and M, K. She says each integers 1 ≤ a i ≤ M. And now Alice wants to ask for each d = 1 to M, how many different sequences b…

Front compression Time Limit: 5000/5000 MS (Java/Others)    Memory Limit: 102400/102400 K (Java/Others)Total Submission(s): 158    Accepted Submission(s): 63 Problem Description Front compression is a type of delta encoding compression algorithm wher…

Terrorist’s destroy Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)Total Submission(s): 24    Accepted Submission(s): 6 Problem Description There is a city which is built like a tree.A terrorist wants to destroy th…

Backup Plan Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 93    Accepted Submission(s): 36Special Judge Problem Description Makomuno has N servers and M databases. All databases are synchroniz…

Building Fence Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 171    Accepted Submission(s): 25Special Judge Problem Description Long long ago, there is a famous farmer named John. He owns a bi…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=4675 题意:给出n,m,K,一个长度为n的数列A(1<=A[i]<=m).对于d(1<=d<=m),有多少个长度为n的数列B满足: (1)1<=B[i]<=m; (2)Gcd(B[1],B[2],……,B[n])=d: (3)恰有K个位置满足A[i]!=B[i]. 思路: i64 p[N]; void init(){    p[0]=1;    int i;    FOR1…

题意:给出序列[a1..aN],整数M和k,求对1-M中的每个整数d,构建新的序列[b1...bN],使其满足: 1. \(1 \le bi \le M\) 2. \(gcd(b 1, b 2, -, b N) = d\) 3. 恰好有k个位置 \(bi!=ai\) 求对每个d,有多少种满足条件的序列 分析:对于前两个条件,就是单纯的莫比乌斯反演. 令\(F(d) = [d|gcd(b1...bN)]\) \(f(d) = [gcd(b1...bN)]=d]\) 则$f(n) = \sum_{x…

题意: 给出\(M\)和\(a数组\),询问每一个\(d\in[1,M]\),有多少组数组满足:正好修改\(k\)个\(a\)数组里的数使得和原来不同,并且要\(\leq M\),并且\(gcd(a_1,a_2,\dots,a_n)=d\). 思路: 对于每一个\(d\),即求\(f(d)\):修改\(k\)个后\(gcd(a_1,a_2,\dots,a_n)=d\)的对数. 那么假设\(F(d)\):修改\(k\)个后\(gcd(a_1,a_2,\dots,a_n)\)是\(d\)倍数的对数.…

数学题! 从M到1计算,在计算i的时候,算出原序列是i的倍数的个数cnt: 也就是将cnt个数中的cnt-(n-k)个数变掉,n-cnt个数变为i的倍数. 且i的倍数为t=m/i; 则符合的数为:c[cnt][n-k]*t^(n-cnt)*(t-1)*(cnt-(n-k)). 这样得到的是所有i的倍数,还要减去2*i,3*i…… 代码如下: #include<stdio.h> #include<cstring> #define M 1000000007 #define MM 300…

No Pain No Game Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 17    Accepted Submission(s): 5 Problem Description Life is a game,and you lose it,so you suicide.But you can not kill yourself be…

Balls Rearrangement Time Limit: 9000/3000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)Total Submission(s): 25    Accepted Submission(s): 8 Problem Description Bob has N balls and A boxes. He numbers the balls from 0 to N-1, and numbe…

Integer Partition Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 22    Accepted Submission(s): 15 Problem Description Given n, k, calculate the number of different (unordered) partitions of n s…

Cut Pieces Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 131072/65536 K (Java/Others)Total Submission(s): 133    Accepted Submission(s): 62 Problem Description Suppose we have a sequence of n blocks. Then we paint the blocks. Each block sho…

Triangulation Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 96    Accepted Submission(s): 29 Problem Description There are n points in a plane, and they form a convex set. No, you are wrong. T…

Editor Time Limit: 3000/2000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 118    Accepted Submission(s): 38 Problem Description   Sample Input 8 I 2 I -1 I 1 Q 3 L D R Q 2   Sample Output 2 3 Hint The following…

Sum Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 94    Accepted Submission(s): 41 Problem Description   Sample Input 2   Sample Output 2 Hint 1. For N = 2, S(1) = S(2) = 1. 2. The input fil…

Answers Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 25    Accepted Submission(s): 16 Problem Description   Sample Input 2 4 2 2 2 1 0 1 2 3   Sample Output NO YES YES YES   Source 2013 Mul…

Arc of Dream Time Limit: 2000/2000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 0    Accepted Submission(s): 0 Problem Description An Arc of Dream is a curve defined by following function:wherea0 = A0ai = ai-1*AX+…

Mine Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)Total Submission(s): 51    Accepted Submission(s): 6 Problem Description Have you ever played a game in Windows: Mine?This game is played on a n*m board, just lik…

String Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)Total Submission(s): 11    Accepted Submission(s): 4 Problem Description Given 3 strings A, B, C, find the longest string D which satisfy the following rules:a)…

Mutiples on a circle Time Limit: 3000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 171    Accepted Submission(s): 28 Problem Description Tom has a necklace with n jewels. There is a number on each jewel. Now…

Hyperspace Time Limit: 20000/10000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 67    Accepted Submission(s): 32 Problem Description The great Mr.Smith has invented a hyperspace particle generator. The device is v…

Mex Time Limit: 15000/5000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 623    Accepted Submission(s): 209 Problem Description Mex is a function on a set of integers, which is universally used for impartial game t…

Flyer Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 386    Accepted Submission(s): 127 Problem Description The new semester begins! Different kinds of student societies are all trying to adver…

Palindrome Sub-Array Time Limit: 3000/1000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)Total Submission(s): 173    Accepted Submission(s): 80 Problem Description A palindrome sequence is a sequence which is as same as its reversed or…

Palindrome subsequence Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/65535 K (Java/Others)Total Submission(s): 88    Accepted Submission(s): 26 Problem Description In mathematics, a subsequence is a sequence that can be derived from…

Sad Love Story Time Limit: 40000/20000 MS (Java/Others)    Memory Limit: 131072/65536 K (Java/Others)Total Submission(s): 16    Accepted Submission(s): 2 Problem Description There's a really sad story.It could be about love or about money.But love wi…