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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#269410 | #7881. Computational Complexity | ucup-team1447# | WA | 91ms | 253312kb | C++14 | 6.2kb | 2023-11-29 16:45:42 | 2023-11-29 16:45:42 |
Judging History
answer
// what is matter? never mind.
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,sse4,popcnt,abm,mmx,avx,avx2")
#include<bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(int i=(a);i>=(b);--i)
#define ll long long
//#define int long long
#define ull unsigned long long
#define int long long
using namespace std;
inline int read()
{
char c=getchar();int x=0;bool f=0;
for(;!isdigit(c);c=getchar())f^=!(c^45);
for(;isdigit(c);c=getchar())x=(x<<1)+(x<<3)+(c^48);
if(f)x=-x;return x;
}
ll mod;
long double iP;
ll mul(ll x,ll y){
ll d=x*iP*y+0.5,s=x*y-d*mod;
return s+((s>>63)&mod);
}
struct modint{
int x;
modint(int o=0){x=o;}
modint &operator = (int o){return x=o,*this;}
modint &operator +=(modint o){return x=x+o.x>=mod?x+o.x-mod:x+o.x,*this;}
modint &operator -=(modint o){return x=x-o.x<0?x-o.x+mod:x-o.x,*this;}
modint &operator *=(modint o){return x=mul(x,o.x),*this;}
modint &operator ^=(int b){
modint a=*this,c=1;
for(;b;b>>=1,a*=a)if(b&1)c*=a;
return x=c.x,*this;
}
modint &operator /=(modint o){return *this *=o^=mod-2;}
friend modint operator +(modint a,modint b){return a+=b;}
friend modint operator -(modint a,modint b){return a-=b;}
friend modint operator *(modint a,modint b){return a*=b;}
friend modint operator /(modint a,modint b){return a/=b;}
friend modint operator ^(modint a,int b){return a^=b;}
friend bool operator ==(modint a,int b){return a.x==b;}
friend bool operator !=(modint a,int b){return a.x!=b;}
bool operator ! () {return !x;}
modint operator - () {return x?mod-x:0;}
bool operator <(const modint&b)const{return x<b.x;}
};
inline modint qpow(modint x,int y){return x^y;}
vector<modint> fac,ifac,iv;
inline void initC(int n)
{
if(iv.empty())fac=ifac=iv=vector<modint>(2,1);
int m=iv.size(); ++n;
if(m>=n)return;
iv.resize(n),fac.resize(n),ifac.resize(n);
For(i,m,n-1){
iv[i]=iv[mod%i]*(mod-mod/i);
fac[i]=fac[i-1]*i,ifac[i]=ifac[i-1]*iv[i];
}
}
inline modint C(int n,int m){
if(m<0||n<m)return 0;
return initC(n),fac[n]*ifac[m]*ifac[n-m];
}
inline modint sign(int n){return (n&1)?(mod-1):(1);}
#define fi first
#define se second
#define pb push_back
#define mkp make_pair
typedef pair<int,int>pii;
typedef vector<int>vi;
#define maxn 200005
#define inf 0x3f3f3f3f
bool mbe;
#define N 15000005
modint f[N],g[N];
typedef unsigned long long u64;
typedef __uint128_t u128;
struct DIV {
u64 x;
inline void init(int v) { x = -1ull / v + 1; }
};
inline u64 operator / (const u64 & x, const DIV & y) {
return (u128) x * y.x >> 64;
}
DIV DF[20005][4],DG[20005][4],Dval[20005];
DIV Dval2[200005];
int val2[200005];
map<int,int>mp2;
modint f2[200005][2],g2[200005][2],f3[20005][2],g3[20005][2];
int cnt2;
int id2(int x){
if(mp2.count(x))return mp2[x];
mp2[x]=++cnt2,val2[cnt2]=x,Dval2[cnt2].init(x);
return cnt2;
}
__int128 F[20],G[20];
int V=1e15,mx;
int chf[20005][4],chg[20005][4];
int lim;
int pri[4]={2,3,5,7};
int gg[4]={2,3,4,5};
map<int,int>id; int cnt,val[maxn];
void dfs(int u,int now){
// cout<<"dfs "<<u<<" "<<now<<"\n";
if(u==4){
// cout<<"dfs "<<u<<" "<<now<<"\n";
id[now]=++cnt; val[cnt]=now;
return;
}
while(1){
dfs(u+1,now);
now*=pri[u];
if(now>mx)break;
}
}
modint fs[20005][2],gs[20005][2];
u128 res[2];
void prework(){
fs[1][0]=1,gs[1][0]=0;
fs[1][1]=0,gs[1][1]=1;
res[0]=res[1]=0;
For(i,1,cnt){
// cout<<"work "<<i<<" "<<val[i]<<"\n";
// For(j,0,3)cout<<chf[i][j]<<" ";cout<<"\n";
// For(j,0,3)cout<<chg[i][j]<<" ";cout<<"\n";
if(fs[i][0].x||fs[i][1].x){
For(j,0,3){
if(chf[i][j]>0){
For(o,0,1) gs[chf[i][j]][o]+=fs[i][o];
}
}
}
if(gs[i][0].x||gs[i][1].x){
For(j,0,3){
if(chg[i][j]>0){
For(o,0,1) fs[chg[i][j]][o]+=gs[i][o];
}
}
}
}
}
void work()
{
// int n=read();
int n=read();
if(n<N){
cout<<f[n].x<<" "<<g[n].x<<"\n";
return;
}
res[0]=res[1]=0;
if(n<=lim){
modint res[2]={0,0};
For(i,1,cnt){
if(val[i]>n)continue;
int t;
if(fs[i][0].x||fs[i][1].x){
For(j,0,3){
if(chf[i][j]>0){
if(val[chf[i][j]]>n) For(o,0,1)res[o]+=fs[i][o]*g[0];
}else{
t=n/DF[i][j];
For(o,0,1) res[o]+=fs[i][o]*g[t];
}
}
}
if(gs[i][0].x||gs[i][1].x){
For(j,0,3){
if(chg[i][j]>0){
if(val[chg[i][j]]>n) For(o,0,1)res[o]+=gs[i][o]*f[0];
}
else{
t=n/DG[i][j];
For(o,0,1) res[o]+=gs[i][o]*f[t];
}
}
}
}
cout<<res[0].x<<" "<<res[1].x<<"\n";
return;
}
For(i,1,cnt2){
int t=n/Dval2[i];
For(o,0,1) res[o]+=(u128)f2[i][o].x*g[t].x,res[o]+=(u128)g2[i][o].x*f[t].x;
}
res[0]%=mod,res[1]%=mod;
cout<<(ll)res[0]<<" "<<(ll)res[1]<<"\n";
}
bool med;
signed main()
{
// cerr<<(1.0*(&mbe-&med)/1024576.0)<<"\n";
f[0]=read(),g[0]=read();
int T=read();
mod=read();
iP=1.0l/mod;
F[0]=f[0].x,G[0]=g[0].x;
ull mxp=-1;
For(i,1,7){
F[i]=G[i/2]+G[i/3]+G[i/5]+G[i/7];
G[i]=F[i/2]+F[i/3]+F[i/4]+F[i/5];
F[i]=max(F[i],(__int128)i);
G[i]=max(G[i],(__int128)i);
}
For(i,0,7) f[i]=F[i]%mod,g[i]=G[i]%mod;
For(i,8,N-1){
f[i]=g[i/2]+g[i/3]+g[i/5]+g[i/7];
g[i]=f[i/2]+f[i/3]+f[i/4]+f[i/5];
}
mx=V/N+1;
dfs(0,1);
For(i,1,cnt) Dval[i].init(val[i]);
cerr<<cnt<<"\n";
// cout<<"ID "<<id[4]<<"\n";
For(i,1,cnt){
For(j,0,3){
int u=val[i]*pri[j];
if(u<=mx) chf[i][j]=id[u];
else{
int v=id2(u);
}
// cout<<chf[i][j]<<" \n"[j==3];
}
For(j,0,3){
int u=val[i]*gg[j];
if(u<=mx) chg[i][j]=id[u];
else{
int v=id2(u);
}
}
}
cerr<<"cnt2 "<<cnt2<<"\n";
prework();
For(i,1,cnt){
For(j,0,3){
int u=val[i]*pri[j];
if(u<=mx);
else{
int v=id2(u);
For(o,0,1) f2[v][o]+=fs[i][o];
}
// cout<<chf[i][j]<<" \n"[j==3];
}
For(j,0,3){
int u=val[i]*gg[j];
if(u<=mx);
else{
int v=id2(u);
For(o,0,1) g2[v][o]+=gs[i][o];
}
}
}
For(i,1,cnt2) lim=max(lim,val2[i]);
cerr<<"lim "<<lim<<"\n";
For(_,1,T){
work();
if(_%10000==0)cerr<<_<<"\n";
}
return 0;
}
/*
114514 1919810 1 123456789123456
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 83ms
memory: 251924kb
input:
1958 920 10 100000000000 0 1 2 3 10 100 200 1000 19580920 20232023
output:
1958 920 3680 7832 10592 9554 17504 11276 50294 64826 784112 893714 1894550 1905470 12057866 12979424 71481494756 48626708512 28127864908 7251681354
result:
ok 20 numbers
Test #2:
score: 0
Accepted
time: 84ms
memory: 253312kb
input:
0 0 10 100000000000 0 1 2 3 4 10 20 30 40 100
output:
0 0 1 1 2 2 3 3 4 4 11 12 25 26 41 41 55 58 162 172
result:
ok 20 numbers
Test #3:
score: 0
Accepted
time: 76ms
memory: 253092kb
input:
2023 2023 10 2023 0 1 2 3 4 5 6 7 8 9
output:
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
result:
ok 20 numbers
Test #4:
score: 0
Accepted
time: 75ms
memory: 252224kb
input:
36092 30559 2149 729566623185 909730017626 961811467628 978809456383 494310140318 760462959632 726343527430 220697276132 366336227300 456813204361 569783542145 13854148170 51526515764 564416233246 876430686824 862897449267 956440673661 512777546436 728860125927 799238602356 978766770799 47962348351 ...
output:
192287632545 510282654057 513694515018 658644741565 90751152870 6088748556 138070013247 301112114677 224113421002 105290451187 630454127249 196841848259 546918129568 526274849982 226761501362 157889210040 135623074930 620463814922 78467045157 602244472172 51639549042 411354142414 329188915935 306494...
result:
ok 4298 numbers
Test #5:
score: -100
Wrong Answer
time: 91ms
memory: 252376kb
input:
46012 72474 6895 931299293479 635558333906 151352929427 186830308154 201652909474 130684521091 862625793178 335372663856 565394770762 609752364488 636658378167 568072145317 23602174799 74849827839 567735061723 964475612065 721588322843 526921882143 141483206690 794896616456 923141155683 443983986019...
output:
737640936783 269480550026 785950579990 586907405473 274405996613 356240054012 164145774405 803378519477 613956922400 426121843045 509646717167 788278629379 95131481441 672600899832 720839818877 52329269906 131977527669 257593035330 737640936783 269480550026 202443098753 171133839273 188615102144 605...
result:
wrong answer 989th numbers differ - expected: '73717573666', found: '155272249660'