QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#83848 | #3799. It's Surely Complex | RiceShower# | WA | 50ms | 24980kb | C++20 | 14.1kb | 2023-03-03 17:23:34 | 2023-03-03 17:23:36 |
Judging History
answer
// 从未在意的名字永远不会被提起 - 雪葉/鹤见江野
/*
+
++
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++++++++
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++++++++++++
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+++++++++++++++
++++++++++++++++
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++++++++++++++++++
+ +++++++++++++++++
+ ++++++++++++++ ++
+ +++++++++++++ ++
+ ++++++++++++ ++
+ +++++++++++ ++
+ ++++++++++ ++
+ +++++++++ ++
+ ++++++++ ++
+ +++++++++++++++++
+ +++++++++++++++++
+ ++++++++++++++
+ +++++++++++
+ ++++++++
+ +++++
+ ++
+ +
+ +
+ ++
+ +++
+ ++++
+ +++++
+ +++++
+ +++++
+ +++++
+ + +++++
+ +++ +++++
+ ++ ++ +++++
+ ++ ++ +++++
+ ++ + ++ +++++
+++ +++ +++++++
++ ++ ++ ++++++
++++++++ +++++++++++ +++ +++ ++++++++ ++++++++
+++++++++ +++++++++++++ +++ +++ +++ +++ +++ +++
+++ +++ +++ +++ +++ +++ +++ ++++++ +++ +++
+++ +++ +++ +++ +++ +++ +++ +++ +++ +++
+++ +++ +++ +++ +++ ++ +++ ++ ++++++ +++ +++
+++++++++ +++ +++ +++ +++ ++ +++ ++ +++ +++ +++ ++
++++++++ +++ +++ +++ +++++ +++++ ++++++++ +++++++++++
*/
#ifndef ONLINE_JUDGE
#define DEBUG
#endif
#include <stdio.h>
#include <string.h>
#include <algorithm>
#include <queue>
#include <assert.h>
#include <math.h>
#include <set>
#define nln puts("")
#define od(x) printf("%d",x)
#define odb(x) printf("%d ",x)
#define odl(x) printf("%d\n",x)
#define odp(x,y) printf("%d %d\n",x,y)
#define ol(x) puts("")
#define old(x) printf("%lld",x)
#define oldb(x) printf("%lld ",x)
#define oldl(x) printf("%lld\n",x)
#define oldp(x,y) printf("%lld %lld\n",x,y)
#define rg(x) for(int i=1;i<=(x);i++){
#define rg_(i,x) for(int i=1;i<=(x);i++){
#define fe(u) for(int i=h[u];i;i=e[i].nxt){int v=e[i].v;
#define gr }
#define rrg(x) for(int i=0;i<(x);i++){
#define rdln(a) a[i]=read();
#define rdln0(a,x) rrg(x) rdln(a) gr
#define rdln1(a,x) rg(x) rdln(a) gr
template<typename T>
void print(T x){}
template<>
void print<int>(int x){od(x);}
template<>
void print<const int>(const int x){od(x);}
template<>
void print<long long>(long long x){old(x);}
template<>
void print<const long long>(const long long x){old(x);}
template<>
void print<char>(char x){putchar(x);}
template<>
void print<const char>(const char x){putchar(x);}
template<>
void print<double>(double x){printf("%.12lf",x);}
template<typename T,typename... qwq>
void print(T x,qwq ...args)
{
print(x);
print(args...);
}
#ifdef DEBUG
template<typename T>
void debug(T x){}
template<>
void debug<int>(int x){od(x);}
template<>
void debug<const int>(const int x){od(x);}
template<>
void debug<long long>(long long x){old(x);}
template<>
void debug<const long long>(const long long x){old(x);}
template<>
void debug<char>(char x){putchar(x);}
template<>
void debug<const char>(const char x){putchar(x);}
template<>
void debug<double>(double x){printf("%.12lf",x);}
template<typename T,typename... qwq>
void debug(T x,qwq ...args)
{
debug(x);
debug(args...);
}
#define dflush fflush
#else
#define dflush(...) 0
template<typename T,typename... qwq>
void debug(T x,qwq ...args)
{
}
#endif
#define int long long
int mod=998244353;
#ifdef int
#define inf 0x3f3f3f3f3f3f3f3fll
#else
#define inf 0x3f3f3f3f
#endif
inline int min(int a,int b){return a>b?b:a;}
inline int max(int a,int b){return a<b?b:a;}
#define cmlSEGMIN
#define cmlSEGMAX
#define cmlSEGSUM
class SegTreeAl{
#ifdef cmlSEGMIN
int minn[1000005<<2];
#endif
#ifdef cmlSEGMAX
int maxn[1000005<<2];
#endif
#ifdef cmlSEGSUM
int sum[1000005<<2];
#endif
int tag[1000005<<2];
#ifdef cmlSEGSUM
void pushdown(int o,int l,int r)
#else
void pushdown(int o)
#endif
{
int&t=tag[o];
#ifdef cmlSEGMIN
minn[o<<1]+=t;
minn[o<<1|1]+=t;
#endif
#ifdef cmlSEGMAX
maxn[o<<1]+=t;
maxn[o<<1|1]+=t;
#endif
#ifdef cmlSEGSUM
int m=l+r>>1;
sum[o<<1]+=t*(m-l+1);
sum[o<<1|1]+=t*(r-m);
#endif
tag[o<<1]+=t;
tag[o<<1|1]+=t;
t=0;
}
void add(int o,int l,int r,int L,int R,int v)
{
if(L<=l&&r<=R)
{
#ifdef cmlSEGMAX
maxn[o]+=v;
#endif
#ifdef cmlSEGMIN
minn[o]+=v;
#endif
#ifdef cmlSEGSUM
sum[o]+=v*(r-l+1);
#endif
tag[o]+=v;
return;
}
int m=l+r>>1;
#ifdef cmlSEGSUM
pushdown(o,l,r);
#else
pushdown(o);
#endif
if(L<=m)add(o<<1,l,m,L,R,v);
if(m<R)add(o<<1|1,m+1,r,L,R,v);
#ifdef cmlSEGMAX
maxn[o]=max(maxn[o<<1],maxn[o<<1|1]);
#endif
#ifdef cmlSEGMIN
minn[o]=min(minn[o<<1],minn[o<<1|1]);
#endif
#ifdef cmlSEGSUM
sum[o]=sum[o<<1]+sum[o<<1|1];
#endif
}
#ifdef cmlSEGMIN
int qmin(int o,int l,int r,int L,int R)
{
if(L<=l&&r<=R)
{
return minn[o];
}
int m=l+r>>1,res=inf;
#ifdef cmlSEGSUM
pushdown(o,l,r);
#else
pushdown(o);
#endif
if(L<=m)res=min(res,qmin(o<<1,l,m,L,R));
if(m<R)res=min(res,qmin(o<<1|1,m+1,r,L,R));
#ifdef cmlSEGMAX
maxn[o]=max(maxn[o<<1],maxn[o<<1|1]);
#endif
#ifdef cmlSEGMIN
minn[o]=min(minn[o<<1],minn[o<<1|1]);
#endif
#ifdef cmlSEGSUM
sum[o]=sum[o<<1]+sum[o<<1|1];
#endif
return res;
}
#endif
#ifdef cmlSEGMAX
int qmax(int o,int l,int r,int L,int R)
{
if(L<=l&&r<=R)
{
return maxn[o];
}
int m=l+r>>1,res=-inf;
#ifdef cmlSEGSUM
pushdown(o,l,r);
#else
pushdown(o);
#endif
if(L<=m)res=max(res,qmax(o<<1,l,m,L,R));
if(m<R)res=max(res,qmax(o<<1|1,m+1,r,L,R));
#ifdef cmlSEGMAX
maxn[o]=max(maxn[o<<1],maxn[o<<1|1]);
#endif
#ifdef cmlSEGMIN
minn[o]=min(minn[o<<1],minn[o<<1|1]);
#endif
#ifdef cmlSEGSUM
sum[o]=sum[o<<1]+sum[o<<1|1];
#endif
return res;
}
#endif
#ifdef cmlSEGSUM
int qsum(int o,int l,int r,int L,int R)
{
if(L<=l&&r<=R)
{
return sum[o];
}
int m=l+r>>1,res=0;
#ifdef cmlSEGSUM
pushdown(o,l,r);
#else
pushdown(o);
#endif
if(L<=m)res+=qsum(o<<1,l,m,L,R);
if(m<R)res+=qsum(o<<1|1,m+1,r,L,R);
#ifdef cmlSEGMAX
maxn[o]=max(maxn[o<<1],maxn[o<<1|1]);
#endif
#ifdef cmlSEGMIN
minn[o]=min(minn[o<<1],minn[o<<1|1]);
#endif
#ifdef cmlSEGSUM
sum[o]=sum[o<<1]+sum[o<<1|1];
#endif
return res;
}
#endif
};
#define newe(n) struct Edge{int v,w,nxt;}e[2*n+5];\
typedef int arr[n+5];\
arr h;\
int cnt=1;\
inline void addedge(int u,int v,int w){e[cnt]=(Edge){v,w,h[u]};h[u]=cnt++;}\
struct node{\
int u,d;\
bool operator<(const node&b)const{return d>b.d;}\
};\
void dij(int s,int *d,int N)\
{\
memset(d,0x3f,sizeof(int)*(N+3));\
d[s]=0;std::priority_queue<node>q;q.push((node){s,0});\
while(!q.empty())\
{\
int u=q.top().u,D=q.top().d;q.pop();if(D!=d[u])continue;\
for(int i=h[u];i;i=e[i].nxt){int v=e[i].v,w=e[i].w;\
if(d[u]+w<d[v])d[v]=d[u]+w,q.push((node){v,d[v]});\
}\
}\
}
#define mgs int fa[1<<22],sz[1<<22];\
inline int f(int x){return x==fa[x]?x:fa[x]=f(fa[x]);}\
inline int uf(int x,int y)\
{\
int fx=f(x),fy=f(y);\
if(fx==fy)return 0;\
if(sz[fx]>sz[fy])fx^=fy^=fx^=fy;\
fa[fx]=fy,sz[fy]+=sz[fx];\
return 1;\
}
inline int read()
{
int num=0,f=1;char c=getchar();
while(c<48||c>57){if(c=='-')f=-1;c=getchar();}
while(c>47&&c<58)num=num*10+(c^48),c=getchar();
return num*f;
}
inline int re1d()
{
char c=getchar();
while(c<48||c>49)c=getchar();
return c&1;
}
#ifdef cmlBIT
struct BIT{int a[1<<20|1],n;
void add(int x,int p){while(x<=n)a[x]+=p,x+=x&-x;}
int operator[](int x){int res=0;while(x)res+=a[x],x-=x&-x;return res;}
int operator()(int l,int r){return (*this)[r]-(*this)[l-1];}};
#endif
int rnv[1000005];
#define COMB
#ifdef COMB
#ifndef int
#define int long long
#endif
int fac[1000005],inv[1000005];
#endif
void initprog()
{
#ifdef COMB
fac[0]=inv[0]=inv[1]=1;
rg(1000000)fac[i]=fac[i-1]*i%mod;gr
rg(1000000)if(i>1)inv[i]=inv[mod%i]*(mod-mod/i)%mod;gr
rg(1000000)rnv[i]=inv[i];gr
rg(1000000)inv[i]=inv[i]*inv[i-1]%mod;gr
#endif
}
#ifdef COMB
int C(int n,int m)
{
if(n==m||m==0)return 1;
if(n<m)return 0;
return fac[n]*inv[m]%mod*inv[n-m]%mod;
}
#endif
inline int qp(int a,int b){int c=1;while(b){if(b&1)c=c*a%mod;a=a*a%mod;b>>=1;}return c;}
inline int mae(int &a,int b){a+=b;if(a>=mod)a-=mod;return a;}
inline int mde(int &a,int b){a+=mod-b;if(a>=mod)a-=mod;return a;}
inline int mle(int &a,int b){a=a*b%mod;return a;}
inline int mve(int &a,int b){a=a*qp(b,mod-2)%mod;return a;}
inline int mxe(int &a,int b){return a=a>b?a:b;}
inline int mne(int &a,int b){return a=a<b?a:b;}
inline int ae(int a,int b){int c=a+b;return c>=mod?c-mod:c;}
inline int de(int a,int b){return ae(a,mod-b);}
inline int me(int a,int b){return a*b%mod;}
inline int mive(int &a,int b){a=a*rnv[b]%mod;return a;}
inline int ive(int a,int b){return a*rnv[b]%mod;}
inline int ve(int a,int b){return a*qp(b,mod-2)%mod;}
#ifdef cmlST
struct STmin{
int a[21][1000005],n;
void init(int N,int *b)
{
n=N;
rg(n)a[0][i]=b[i];gr
rg(20)rg_(j,n-(1<<i)+1)a[i][j]=min(a[i-1][j],a[i-1][j+(1<<i-1)]);gr gr
}
int q(int l,int r)
{
int d=std::__lg(r-l+1);
return min(a[d][l],a[d][r-(1<<d)+1]);
}
};
struct STmax{
int a[21][1000005],n;
void init(int N,int *b)
{
n=N;
rg(n)a[0][i]=b[i];gr
rg(20)rg_(j,n-(1<<i)+1)a[i][j]=max(a[i-1][j],a[i-1][j+(1<<i-1)]);gr gr
}
int q(int l,int r)
{
int d=std::__lg(r-l+1);
return max(a[d][l],a[d][r-(1<<d)+1]);
}
};
#endif
#ifdef cmlSAM
struct SAM{
int ch[1000005][26],lnk[1000005],len[1000005],lst=1,cc=1;
int sz[1000005];
void insert(int c)
{
len[++cc]=len[lst]+1;sz[cc]=1;
int p=lst;lst=cc;
while(p&&ch[p][c]==0)ch[p][c]=cc,p=lnk[p];
if(p==0)lnk[cc]=1;
else
{
int x=ch[p][c];
if(len[p]+1==len[x])lnk[cc]=x;
else
{
int q=cc;++cc;
lnk[cc]=lnk[x];
lnk[x]=lnk[q]=cc;
len[cc]=len[p]+1;
memcpy(ch[cc],ch[x],sizeof(ch[cc]));
while(p&&ch[p][c]==x)ch[p][c]=cc,p=lnk[p];
}
}
}
newe(1000005);
long long ans;
void build()
{
rg(cc)addedge(lnk[i],i,0);gr
}
void dfs(int u)
{
fe(u)dfs(v),sz[u]+=sz[v];gr
if(sz[u]>1)ans=max(ans,1ll*sz[u]*len[u]);
}
}t;
#endif
using std::swap;
struct complex{
int a,b;
complex operator*(complex c){
return {de(me(a,c.a),me(b,c.b)),(a*c.b+b*c.a)%mod};
}
};
complex qp(complex a,int b)
{
complex res={1,0},x=a;
while(b)
{
if(b&1)res=res*x;x=x*x;b>>=1;
}
return res;
}
int p;struct zhanghengyi
{
const long double pi=acos(-1);
struct cp
{
long double r,i;
cp operator+(const cp &x)const{return (cp){x.r+r,x.i+i};}
cp operator-(const cp &x)const{return (cp){r-x.r,i-x.i};}
cp operator*(const cp &x)const{return (cp){r*x.r-i*x.i,r*x.i+i*x.r};}
}A[1<<20],B[1<<20],C[1<<20],D[1<<20],E[1<<20];
int rev[1<<20],N=1;
void init()
{
int d=N>>1;
rev[0]=0,rev[1]=N>>1;
for(int i=2; i<N; i<<=1)
{
d>>=1;
for(int j=0; j<i; ++j) rev[i+j]=rev[j]|d;
}
return ;
}
void FFT(cp* F,int op)
{
for(int i=0; i<N; ++i) if(rev[i]>i) swap(F[i],F[rev[i]]);
for(int len=2,M=1; len<=N; len<<=1,M<<=1)
{
cp w=(cp){cos(pi/M*op),sin(pi/M*op)};
//omega(m,1)
for(int l=0,r=len-1; l<N; l+=len,r+=len)
{
cp w0=(cp){1,0};
for(int i=l; i<l+M; ++i)
{
cp x=F[i],y=w0*F[i+M];
F[i]=x+y,F[i+M]=x-y,w0=w0*w;
}
}
}
}
int qp(int x,long long y,int p)
{
int res=1;
for(int t=x; y; y>>=1,t=1ll*t*t%p)
if(y&1) res=1ll*res*t%p;
return res;
}
long long ans[1<<20];
int a[1<<20];
signed main(int n,int m)
{
// int R=1;
// for(int i=0; i<=m; ++i)
// for(int j=i+1; j<=m; ++j)
// R=(1ll*i*i+1ll*j*j)%n*R%n;
// return R;
for(;N<=n+n;N<<=1);
for(int i=0; i<=m; ++i) ++a[1ll*i*i%n];
for(int i=0,x; i<n; ++i)
// printf("%d ",a[i]),
x=a[i],A[i].r=x&32767,B[i].r=x>>15;
for(int i=0,x; i<n; ++i)
x=a[i],C[i].r=x&32767,D[i].r=x>>15;
init();
FFT(A,1),FFT(B,1),FFT(C,1),FFT(D,1);
for(int i=0; i<N; ++i)
E[i]=A[i]*D[i]+B[i]*C[i],
A[i]=A[i]*C[i],B[i]=B[i]*D[i];
FFT(A,-1),FFT(B,-1),FFT(E,-1);
// puts("");
for(int i=0; i<=n+n; ++i)
{
long long ans1=(A[i].r/N+0.5),
ans2=(E[i].r/N+0.5),ans3=(B[i].r/N+0.5);
ans2<<=15,ans3<<=30;
// printf("%lld ",ans1+ans2+ans3);
ans[i%n]+=(ans1+ans2+ans3);
}
// puts("");
for(int i=0; i<=m; ++i)
--ans[2ll*i*i%n];
int res=1;
for(int i=0; i<n; ++i)
{
if(ans[i]&1) puts("ERR");
ans[i]>>=1;
res=1ll*res*qp(i,ans[i],n)%n;
}
return res;
}
}T;
signed main()
{
p=mod=read();
int n=read();
initprog();
complex r={1,0};
int o=n/mod;
// for(int i=0;i<79;i++)
// for(int j=!i;j<79;j++)
// r=r*(complex){i,j};
// odp(r.a,r.b);
// return 0;
if(o>=1)
{
if(mod%4!=3)return odp(0,0),0;
complex shi={1,0},xu={1,0},F={fac[mod-1],0};
rrg(mod)shi=shi*(complex){1,i};gr
rrg(mod)xu=xu*(complex){i,1};gr
complex di={1,0};
rg(mod-1)di=di*(complex){0,i};gr
complex all=qp(shi,mod-1)*di*F;
int len=n%mod;
complex a=qp(shi,len)*(complex){fac[len],0}*di;
// odp(a.a,a.b);
complex b=qp(xu,len)*(complex){fac[len],0}*F;
r=qp(qp(all,o),o)*qp(a,o)*qp(b,o);
// int wz=fac[mod-1]*qp(2,mod-1)%mod;
// complex tmp={wz,0},oh={1,0};
// rg(mod-1)oh=oh*(complex){0,i};gr
// tmp=tmp*oh;
// r=qp(tmp,(o%(mod-1)*o)%(mod-1));
//
// complex L={2,0};L=qp(L,n%mod);
// L=L*(complex){fac[n%mod],0}*oh;
//
// complex shit={1,0},shit2={1,0};
// rrg(mod)shit2=shit2*(complex){i,1};gr
// complex R=qp(shit2,n%mod);
// L=L*R;
// r=r*qp(L,o);
// odp(r.a,r.b);
}
complex op{T.main(mod,n%mod),0};
// odl(op.a);
int s=n%mod;
if((s*s+s+1>>1)&1)std::swap(op.a,op.b);
r=r*op;
rg(n%mod)r=r*(complex){i,i};gr
// odl(p);
// odl(fac[mod-1]%mod);
// complex r={1,0};
// rrg(mod)r=r*(complex){n%mod,i};gr
odp(r.a,r.b);
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 50ms
memory: 24980kb
input:
2 1
output:
1 1
result:
ok single line: '1 1'
Test #2:
score: -100
Wrong Answer
time: 33ms
memory: 24828kb
input:
2 2
output:
0 0
result:
wrong answer 1st lines differ - expected: '1 1', found: '0 0'