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 |
---|---|---|---|---|---|---|---|---|---|
#542374 | #8133. When Anton Saw This Task He Reacted With 😩 | PhantomThreshold | TL | 4000ms | 76796kb | C++20 | 5.3kb | 2024-09-01 00:56:16 | 2024-09-01 00:56:17 |
Judging History
answer
#include<bits/stdc++.h>
#define ll long long
#define int long long
using namespace std;
const int MOD=998244353;
signed main()
{
ios_base::sync_with_stdio(false);
const int B=600,maxd=17;
struct vc
{
int x,y,z;
vc operator+(const vc &k)const{return (vc){(x+k.x)%MOD,(y+k.y)%MOD,(z+k.z)%MOD};}
vc operator-(const vc &k)const{return (vc){(x-k.x)%MOD,(y-k.y)%MOD,(z-k.z)%MOD};}
vc operator*(const int k)const{return (vc){(x*k)%MOD,(y*k)%MOD,(z*k)%MOD};}
vc operator*(const vc &k)const{return (vc){(y*k.z-z*k.y)%MOD,(z*k.x-x*k.z)%MOD,(x*k.y-y*k.x)%MOD};}
// vc operator^(const vc &k)const{return (vc){(x*k.x)%MOD,(y*k.y)%MOD,(z*k.z)%MOD};}
};
int n,q;
cin>>n>>q;
vector<vc> a(n+5);
vector<int> L(n+5),R(n+5),pa(n+5);
vector<vector<int>> jmp(maxd+5,vector<int>(n+5));
for(int i=1;i<=n;i++)
{
string ty;
cin>>ty;
if(ty=="x")
{
cin>>L[i]>>R[i];
pa[L[i]]=i;pa[R[i]]=i;
}
else
{
cin>>a[i].x>>a[i].y>>a[i].z;
}
}
vector<pair<int,vc>> mods(q+5);
for(int i=1;i<=q;i++)
{
int pos;
vc d;
cin>>pos>>d.x>>d.y>>d.z;
mods[i]=make_pair(pos,d);
}
vector<int> dfn(n+5),dfne(n+5),dep(n+5);
int idx=0;
function<void(int)> dfs0=[&](int x)
{
dfn[x]=++idx;
if(L[x])
{
jmp[0][L[x]]=jmp[0][R[x]]=x;
dep[L[x]]=dep[R[x]]=dep[x]+1;
dfs0(L[x]);
dfs0(R[x]);
}
dfne[x]=idx;
};
dep[1]=1;
dfs0(1);
for(int d=1;d<=maxd;d++)
{
for(int i=1;i<=n;i++)
jmp[d][i]=jmp[d-1][jmp[d-1][i]];
}
auto lca=[&](int x,int y)
{
if(dep[x]>dep[y])swap(x,y);
for(int d=maxd;d>=0;d--)
{
if(dep[y]-(1<<d)>=dep[x])
y=jmp[d][y];
}
if(x==y)return x;
for(int d=maxd;d>=0;d--)
{
if(jmp[d][x]!=jmp[d][y])
x=jmp[d][x],y=jmp[d][y];
}
return jmp[0][x];
};
auto kthp=[&](int x,int k)
{
for(int d=maxd;d>=0;d--)
{
if((k>>d)&1)
x=jmp[d][x];
}
return x;
};
// double dt1=0,dt2=0,dt3=0;
const vc X=(vc){1,0,0},Y=(vc){0,1,0},Z=(vc){0,0,1};
for(int l=1;l<=q;l+=B)
{
vector<int> gop(n+5),gopm(n+5),sp(n+5),csp(n+5);
vector<int> tt(n+5);
vector<vc> cfx(n+5),cfy(n+5),cfz(n+5);
auto apply=[&](int u,const vc &tx)
{
return (vc){(cfx[u].x*tx.x+cfy[u].x*tx.y+cfz[u].x*tx.z)%MOD,(cfx[u].y*tx.x+cfy[u].y*tx.y+cfz[u].y*tx.z)%MOD,(cfx[u].z*tx.x+cfy[u].z*tx.y+cfz[u].z*tx.z)%MOD};
};
int r=min(q,l+B-1);
vector<int> tmp,tmp2;
tmp2.push_back(1);
for(int i=l;i<=r;i++)
{
tmp2.push_back(mods[i].first);
}
sort(tmp2.begin(),tmp2.end(),[&](int x,int y){return dfn[x]<dfn[y];});
tmp=tmp2;
for(int i=0;i+1<(int)tmp2.size();i++)
{
tmp.push_back(lca(tmp2[i],tmp2[i+1]));
}
sort(tmp.begin(),tmp.end(),[&](int x,int y){return dfn[x]<dfn[y];});
tmp.erase(unique(tmp.begin(),tmp.end()),tmp.end());
stack<int> s;
for(auto z:tmp)
{
sp[z]=1;
if(s.empty())s.push(z);
else
{
int pp=s.top();
while(not(dfn[pp]<=dfn[z] and dfne[z]<=dfne[pp]))
{
s.pop();
pp=s.top();
}
gop[z]=pp;
gopm[z]=kthp(z,dep[z]-dep[gop[z]]-1);
s.push(z);
}
}
function<void(int)> dfs1=[&](int u)
{
csp[u]=sp[u];
if(L[u])
{
dfs1(L[u]);
dfs1(R[u]);
if(csp[L[u]] or csp[R[u]])
csp[u]=1;
a[u]=a[L[u]]*a[R[u]];
}
};
function<void(int)> dfs2=[&](int u)
{
if(sp[pa[u]])
{
cfx[u]=X;
cfy[u]=Y;
cfz[u]=Z;
}
if(not sp[u] and csp[u])
{
if(csp[L[u]])
{
//cerr<<"?? "<<u<<' '<<(X*a[R[u]]).x<<' '<<(X*a[R[u]]).y<<' '<<(X*a[R[u]]).z<<endl;
//(y*k.z-z*k.y),(z*k.x-x*k.z),(x*k.y-y*k.x)
cfx[L[u]]=apply(u,{0,-a[R[u]].z,a[R[u]].y});
cfy[L[u]]=apply(u,{a[R[u]].z,0,-a[R[u]].x});
cfz[L[u]]=apply(u,{-a[R[u]].y,a[R[u]].x,0});
}
else
{
cfx[R[u]]=apply(u,{0,a[L[u]].z,-a[L[u]].y});
cfy[R[u]]=apply(u,{-a[L[u]].z,0,a[L[u]].x});
cfz[R[u]]=apply(u,{a[L[u]].y,-a[L[u]].x,0});
}
}
if(L[u])
{
dfs2(L[u]);
dfs2(R[u]);
}
};
// time_t start=clock();
dfs1(1);
// dt1+=1.0*(clock()-start)/CLOCKS_PER_SEC;
// start=clock();
dfs2(1);
// dt2+=1.0*(clock()-start)/CLOCKS_PER_SEC;
// start=clock();
/*
cerr<<"---\n";
for(int j=1;j<=n;j++)
cerr<<a[j].x<<' '<<a[j].y<<' '<<a[j].z<<endl;
for(int j=1;j<=n;j++)
cerr<<cfx[j].x<<' '<<cfx[j].y<<' '<<cfx[j].z<<endl;
for(int j=1;j<=n;j++)
cerr<<cfy[j].x<<' '<<cfy[j].y<<' '<<cfy[j].z<<endl;
for(int j=1;j<=n;j++)
cerr<<cfz[j].x<<' '<<cfz[j].y<<' '<<cfz[j].z<<endl;
cerr<<"---\n";
for(auto z:tmp)cerr<<z<<' '<<gopm[z]<<' '<<gop[z]<<endl;
cerr<<endl;
*/
reverse(tmp.begin(),tmp.end());
for(int i=l;i<=r;i++)
{
a[mods[i].first]=mods[i].second;
tt[mods[i].first]=i;
for(auto z:tmp)
{
if(L[z])
{
if(tt[L[z]]==i or tt[R[z]]==i)
{
a[z]=a[L[z]]*a[R[z]];
tt[z]=i;
}
}
if(gopm[z]!=z and tt[z]==i)
{
a[gopm[z]]=apply(z,a[z]);
tt[gopm[z]]=i;
}
}
cout<<a[1].x<<' '<<a[1].y<<' '<<a[1].z<<"\n";
/*
cerr<<"---\n";
for(int j=1;j<=n;j++)
cerr<<a[j].x<<' '<<a[j].y<<' '<<a[j].z<<' '<<tt[j]<<endl;
cerr<<"---\n";
*/
}
// dt3+=1.0*(clock()-start)/CLOCKS_PER_SEC;
}
// cerr<<clock()<<endl;
// cerr<<dt1<<' '<<dt2<<' '<<dt3<<endl;
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3576kb
input:
5 3 x 2 3 v 1 0 1 x 4 5 v 0 2 1 v 1 1 1 4 1 2 3 5 0 1 1 4 0 2 2
output:
-2 0 2 1 -2 -1 0 0 0
result:
ok 9 numbers
Test #2:
score: 0
Accepted
time: 3559ms
memory: 76796kb
input:
199999 100000 x 137025 65661 v 572518668 158967010 74946561 x 129836 192657 x 141948 187810 v 574918069 328924434 141474729 x 143312 111002 x 52772 148497 v 922857701 690080961 651915759 v 656198340 28002884 129579416 v 639893144 265359784 646791226 v 796871409 411409966 598676495 v 882562617 224394...
output:
393120558 773766615 387297348 759959566 981774500 -870231856 -703632542 -18232745 533642029 -593864779 -252947501 -944750793 -593678852 -169374593 -920223197 -405749495 -350493049 -116816620 -808225886 -483001218 -480063798 628180500 509984554 257430135 -984507108 352087791 917410487 932051309 -6316...
result:
ok 300000 numbers
Test #3:
score: 0
Accepted
time: 3775ms
memory: 76776kb
input:
199999 100000 x 154525 80092 v 450407262 725458410 590777520 x 24720 135901 v 719242117 114943104 186796011 v 382530926 89156744 943939337 x 183376 26042 x 109984 157873 x 151637 150600 x 4115 27454 x 163135 92648 x 16764 33212 v 849210403 945083972 689295397 v 471196117 68587428 225597765 x 24643 5...
output:
-321176892 -1730057 -549077502 810403092 258196842 -144784620 -587488197 -744895835 912664471 -671109463 -478998570 922528759 -680876795 -461355816 506214109 -513490823 -119198571 772404948 422920052 152084658 -480903896 -997036451 -649457191 320821077 776293878 699474926 -287129823 -126385880 -5297...
result:
ok 300000 numbers
Test #4:
score: 0
Accepted
time: 4000ms
memory: 76752kb
input:
199999 100000 x 72889 193806 x 35339 33069 v 314802407 406980523 492377265 x 108307 60027 x 144922 140917 v 328481079 117663280 644171354 v 482028404 951751561 166221217 v 936461869 436114879 421819757 x 152919 99965 x 61168 150607 v 56403640 743462679 134896557 v 24809217 462947115 966139991 v 7828...
output:
23709876 380448367 629159667 760678420 -458875163 -386466249 114926687 -344551438 -58366939 674199470 -693498618 544123803 953800112 -812226992 -949043816 327282782 -127242676 -704263640 588783157 502130649 190564297 -895563447 -4355337 -34765598 510012481 -892827456 -716473378 811082806 -631104535 ...
result:
ok 300000 numbers
Test #5:
score: -100
Time Limit Exceeded
input:
199999 100000 x 134204 79203 v 152855933 152545887 271660214 v 393332175 182708769 115884220 v 731792305 965028257 676889584 x 89631 14495 x 142016 85686 v 600051847 172947969 906920949 v 846126215 214556203 657929902 x 125721 133526 x 93179 35713 v 330716449 450417250 611411649 v 114397688 58644961...
output:
139597616 375474977 14619793 -108915893 79727434 363703631 -600893251 -120282751 -569198163 -409876008 819425899 502148739 -477665442 -811836281 -513870808 997888597 816534316 -659833074 334166269 288211584 -389991713 509280845 362972392 286415695 -634847393 -119363102 3658455 711270872 -903427822 -...