快速乘 (牛客 电音之王)
程序员文章站
2022-04-02 21:27:43
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题目链接:https://ac.nowcoder.com/acm/contest/205/B
不会写。。。 记住板子吧。。
#include<stdio.h>
#include<iostream>
#include<math.h>
#include<assert.h>
using namespace std;
typedef long long LL;
typedef unsigned long long u64;
typedef __int128_t i128;
typedef __uint128_t u128;
struct Mod64 {
Mod64():n_(0) {}
Mod64(u64 n):n_(init(n)) {}
static u64 init(u64 w) { return reduce(u128(w) * r2); }
static void set_mod(u64 m) {
mod=m; assert(mod&1);
inv=m;
for(int i=0;i<5;i++)
inv*=2-inv*m;
r2=-u128(m)%m;
}
static u64 reduce(u128 x) {
u64 y=u64(x>>64)-u64((u128(u64(x)*inv)*mod)>>64);
return LL(y)<0?y+mod:y;
}
Mod64& operator += (Mod64 rhs) { n_+=rhs.n_-mod; if (LL(n_)<0) n_+=mod; return *this; }
Mod64 operator + (Mod64 rhs) const { return Mod64(*this)+=rhs; }
Mod64& operator -= (Mod64 rhs) { n_-=rhs.n_; if (LL(n_)<0) n_+=mod; return *this; }
Mod64 operator - (Mod64 rhs) const { return Mod64(*this)-=rhs; }
Mod64& operator *= (Mod64 rhs) { n_=reduce(u128(n_)*rhs.n_); return *this; }
Mod64 operator * (Mod64 rhs) const { return Mod64(*this)*=rhs; }
u64 get() const { return reduce(n_); }
static u64 mod,inv,r2;
u64 n_;
};
u64 Mod64::mod,Mod64::inv,Mod64::r2;
//a*b%p 的防止超ll限度的写法
u64 pmod(u64 a,u64 b,u64 p) {
u64 d=(u64)floor(a*(long double)b/p+0.5);
LL ret=a*b-d*p;
if (ret<0) ret+=p;
return ret;
}
//Mod64::set_mod(M); //模设定
//Mod64 a(_a); //定义,初始化
//_a = a.get(); //转数值
//用%llu输入输出
//定义 u64;
int main()
{
int T;
scanf("%d",&T);
while(T--){
u64 a0_,a1_,m0_,m1_,c_,M_;
int k;
scanf("%llu%llu%llu%llu%llu%llu%d",&a0_,&a1_,&m0_,&m1_,&c_,&M_,&k);
Mod64::set_mod(M_);
Mod64 a0(a0_),a1(a1_),m0(m0_),m1(m1_),c(c_),M(M_),ans(1),x(0);
ans=ans*a1*a0;
for(int i=2;i<=k;i++){
x=m0*a1+m1*a0+c;
ans=ans*x;
a0=a1;
a1=x;
}
printf("%llu\n",ans.get());
}
}