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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#736056 | #9120. Huge Segment Tree | ucup-team134 | TL | 1850ms | 249044kb | C++17 | 4.5kb | 2024-11-11 23:58:22 | 2024-11-11 23:58:23 |
Judging History
answer
#include <bits/stdc++.h>
#define ll long long
#define pb push_back
#define f first
#define s second
#define sz(x) (int)(x).size()
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define ios ios_base::sync_with_stdio(false);cin.tie(NULL)
#define ld long double
#define li __int128
using namespace std;
mt19937 rng(time(NULL));
const int mod=998244353;
inline int add(int x,int y){int ret=x+y;if(ret>=mod)ret-=mod;return ret;}
inline int sub(int x,int y){int ret=x-y;if(ret<0)ret+=mod;return ret;}
inline int mul(int x,int y){return ((ll)x*y)%mod;}
inline int step(int base,int pw){int ret=1;while(pw){if(pw&1)ret=mul(ret,base);base=mul(base,base);pw>>=1;}return ret;}
inline int invv(int x){return step(x,mod-2);}
const int maxn=(1<<21);
namespace fft{
int proot=step(3,7*17*4);
int prekw[maxn];
bool isprek=false;
void prek(){
if(isprek)return;
isprek=true;
prekw[0]=1;
for(int i=1;i<maxn;i++){
prekw[i]=mul(prekw[i-1],proot);
}
}
void fft(vector<int>&a,bool invert){
prek();
int n=a.size();
int j=0;
for(int i=1;i<n;i++){
int bit=n>>1;
for(;bit&j;bit>>=1)j^=bit;
j^=bit;
if(i<j)swap(a[i],a[j]);
}
for(int len=2;len<=n;len<<=1){
int hlen=len>>1;
for(int i=0;i<n;i+=len){
int curr=0;
int d=maxn/len;
if(invert)d=maxn-d;
for(int j=0;j<hlen;j++){
int pom1=a[i+j];
int pom2=mul(a[i+j+hlen],prekw[curr]);
a[i+j]=add(pom1,pom2);
a[i+j+hlen]=sub(pom1,pom2);
curr+=d;
if(curr>=maxn)curr-=maxn;
}
}
}
if(invert){
int invn=invv(n);
for(int i=0;i<n;i++)a[i]=mul(a[i],invn);
}
}
}
void print(vector<int> a){
printf("[ ");
for(int i=0;i<sz(a);i++){
printf("%i",a[i]);
if(i==sz(a)-1)printf(" ]");
else printf(", ");
}
}
void move(vector<int> &v,bool smer){
v.resize(maxn);
fft::fft(v,smer);
}
vector<int> mul(vector<int> a,vector<int> b){
for(int i=0;i<sz(a);i++)a[i]=mul(a[i],b[i]);
return a;
}
vector<int> add(vector<int> a,vector<int> b){
for(int i=0;i<sz(a);i++)a[i]=add(a[i],b[i]);
return a;
}
int dvxconst=invv(step(3,7*17*4));
vector<int> divx(vector<int> a){
for(int i=0;i<sz(a);i++)a[i]=mul(a[i],dvxconst);
return a;
}
int main()
{
int k;
cin >> k;
vector<int> p0={0,1},p1={0,1};
vector<int> f0={0,1},f1={0,0},f2={0,0};
vector<int> np0,np1,nf0,nf1,nf2;
vector<int> divp0,divp1;
vector<int> v11={1,1};
vector<int> v01m1={0,1,-1};
vector<int> v0m1={0,-1};
vector<int> v00m1={0,0,-1};
vector<int> v2={2};
int inv2=invv(2);
vector<int> vinv2={inv2};
vector<int> fl={2};
move(p0,0);
move(p1,0);
move(f0,0);
move(f1,0);
move(f2,0);
move(v11,0);
move(v01m1,0);
move(v0m1,0);
move(v00m1,0);
move(v2,0);
move(vinv2,0);
move(fl,0);
auto trans1=[&](){
np0=add(mul(p0,v11),v01m1);
np1=mul(p1,v11);
nf0=add(mul(p0,p0),add(mul(f0,v2),v01m1));
nf1=add(mul(mul(p0,p1),v2),mul(f1,v2));
nf2=add(mul(p1,p1),mul(f2,v2));
fl=add(fl,fl);
p0=np0;p1=np1;f0=nf0;f1=nf1;f2=nf2;
};
auto trans2=[&](){
divp0=add(divx(p0),add(p0,v0m1));
divp1=divx(p1);
np0=add(add(mul(p0,divp1),p0), mul(p1,add(p0,v0m1)));
divp1=add(divp1,p1);
np1=mul(p1,divp1);
nf0=add(f0,
add(mul(f1,divp0),
add(mul(f2,mul(divp0,divp0)),
add(mul(f0,fl),
mul(add(mul(p0,p0),v00m1),mul(fl,vinv2))
))));
nf1=add(mul(f1,divp1),
add(mul(mul(f2,v2),mul(divp0,divp1)),
add(mul(f1,fl),
mul(mul(p0,p1),fl)
)));
nf2=add(mul(f2,mul(divp1,divp1)),
add(mul(f2,fl),
mul(mul(p1,p1),mul(fl,vinv2))
));
p0=np0;p1=np1;f0=nf0;f1=nf1;f2=nf2;
fl=mul(fl,fl);
};
function<void(int)> rec=[&](int t){
if(t==1)return;
if(t%2==0){
rec(t/2);
trans2();
}
else{
rec(t/2);
trans2();
//printf("p0: ");print(p0);printf("\np1: ");print(p1);printf("\nf0: ");print(f0);printf("\nf1: ");print(f1);printf("\nf2: ");print(f2);printf("\n");
trans1();
}
};
rec(k);
/*for(int i=1;i<k;i++){
trans1();
//printf("p0: ");print(p0);printf("\np1: ");print(p1);printf("\nf0: ");print(f0);printf("\nf1: ");print(f1);printf("\nf2: ");print(f2);printf("\n");
}*/
move(f0,1);
move(f1,1);
move(f2,1);
move(fl,1);
for(int i=0;i<2*k-2;i++){
int x=add(f0[i+1],add(f1[i+1],f2[i+1]));
if(i==0)x=add(x,fl[0]);
printf("%i ",x);
}
printf("\n");
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1850ms
memory: 249044kb
input:
2
output:
7 3
result:
ok 2 tokens
Test #2:
score: -100
Time Limit Exceeded
input:
3
output:
15 6 717602865 526190916