HDOJ 4686 Arc of Dream 矩阵高速幂

【HDOJ 4686 Arc of Dream 矩阵高速幂】的更多相关文章

HDOJ 4686 Arc of Dream 矩阵高速幂

矩阵高速幂: 依据关系够建矩阵 , 高速幂解决. Arc of Dream Time Limit: 2000/2000 MS (Java/Others) Memory Limit: 65535/65535 K (Java/Others) Total Submission(s): 2164 Accepted Submission(s): 680 Problem Description An Arc of Dream is a curve defined by following fun…

hdu 4686 Arc of Dream(矩阵快速幂）

链接:http://acm.hdu.edu.cn/showproblem.php?pid=4686 题意: 其中a0 = A0ai = ai-1*AX+AYb0 = B0bi = bi-1*BX+BY 最后的结果mod 1,000,000,007 n<=10^18. 分析:ai*bi=(ai-1 *ax+ay)*(bi-1 *bx+by) =(ai-1 * bi-1 *ax*bx)+(ai-1 *ax*by)+(bi-1 *bx*ay)+(ay*by) 设p=ax*bx, q=ax*by, …

HDU 4686 Arc of Dream 矩阵快速幂,线性同余难度:1

http://acm.hdu.edu.cn/showproblem.php?pid=4686 当看到n为小于64位整数的数字时,就应该有个感觉,acm范畴内这应该是道矩阵快速幂 Ai,Bi的递推式题目已经给出, Ai*Bi=Ax*Bx*(Ai-1*Bi-1)+Ax*By*Ai-1+Bx*Ay*Bi-1+Ay*By AoD(n)=AoD(n-1)+AiBi 构造向量I{AoD(i-1),Ai*Bi,Ai,Bi,1} 初始向量为I0={0,A0*B0,A0,B0,1} 构造矩阵A{ 1,0,0,0,…

HDU4686 Arc of Dream 矩阵快速幂

Arc of Dream Time Limit: 2000/2000 MS (Java/Others) Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 4246 Accepted Submission(s): 1332 Problem Description An Arc of Dream is a curve defined by following function: wherea0 = A0ai = a…

S - Arc of Dream 矩阵快速幂

An Arc of Dream is a curve defined by following function: where a 0 = A0 a i = a i-1*AX+AY b 0 = B0 b i = b i-1*BX+BY What is the value of AoD(N) modulo 1,000,000,007? InputThere are multiple test cases. Process to the End of File. Each test case con…

hdu----(4686)Arc of Dream(矩阵快速幂)

Arc of Dream Time Limit: 2000/2000 MS (Java/Others) Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 2010 Accepted Submission(s): 643 Problem Description An Arc of Dream is a curve defined by following function:wherea0 = A0ai = ai-…

HDU4686——Arc of Dream矩阵快速幂

题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=4686 题目大意: 已知a0=A0, ai=Ax*ai-1+Ay; b0=B0, bi=Bx*bi-1+By; 求∑ai*bi(i=0-->n-1). n不超过1018,A0,Ax,Ay,B0,Bx,BY不超过2*109. 题目分析: 因为n很大,不可能用递推来做,这个时候就想到了矩阵的方法.构造了好几个满足要求的,但都是仅仅满足ai或者bi的,最后才发现,把ai*bi按递推式展开, ai*bi=A…