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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 |
---|---|---|---|---|---|---|---|---|---|
#735977 | #9120. Huge Segment Tree | ucup-team134 | TL | 11ms | 12312kb | C++17 | 4.7kb | 2024-11-11 23:19:18 | 2024-11-11 23:19:18 |
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);}
namespace fft{
const int maxn=(1<<21);
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(", ");
}
}
vector<int> mul(vector<int> a,vector<int> b){
if(sz(a)<5||sz(b)<5){
vector<int> ans(sz(a)+sz(b)-1);
for(int i=0;i<sz(a);i++){
for(int j=0;j<sz(b);j++){
ans[i+j]=add(ans[i+j],mul(a[i],b[j]));
}
}
return ans;
}
int sz=1;
while(sz<a.size()+b.size())sz*=2;
a.resize(sz);
b.resize(sz);
fft::fft(a,false);
fft::fft(b,false);
for(int i=0;i<sz;i++)a[i]=mul(a[i],b[i]);
fft::fft(a,true);
while(a.size() && a.back()==0)a.pop_back();
return a;
}
vector<int> mul(vector<int> a,int x){
for(int i=0;i<sz(a);i++)a[i]=mul(a[i],x);
return a;
}
vector<int> add(vector<int> a,vector<int> b){
vector<int> c(max(sz(a),sz(b)));
for(int i=0;i<sz(a);i++)c[i]=add(c[i],a[i]);
for(int i=0;i<sz(b);i++)c[i]=add(c[i],b[i]);
return c;
}
vector<int> divx(vector<int> &a){
vector<int> c(sz(a)-1);
for(int i=1;i<sz(a);i++)c[i-1]=a[i];
return c;
}
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;
int fl=2;
vector<int> v11={1,1};
vector<int> v01m1={0,1,-1};
vector<int> v1={1};
vector<int> v0m1={0,-1};
vector<int> v00m1={0,0,-1};
auto trans1=[&](){
np0=add(mul(p0,v11),v01m1);
np1=mul(p1,v11);
nf0=add(mul(p0,p0),add(mul(f0,2),v01m1));
nf1=add(mul(mul(p0,p1),2),mul(f1,2));
nf2=add(mul(p1,p1),mul(f2,2));
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(mul(p0,add(v1,divp1)), 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),fl/2)
))));
nf1=add(mul(f1,divp1),
add(mul(mul(f2,2),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),fl/2)
));
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");
}*/
vector<int> ans=add(f0,add(add(f1,{0,fl}),f2));
for(int i=0;i<2*k-2;i++){
printf("%i ",ans[i+1]);
}
printf("\n");
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3832kb
input:
2
output:
7 3
result:
ok 2 tokens
Test #2:
score: 0
Accepted
time: 0ms
memory: 4120kb
input:
3
output:
15 14 6 1
result:
ok 4 tokens
Test #3:
score: 0
Accepted
time: 0ms
memory: 4196kb
input:
4
output:
31 43 36 19 6 1
result:
ok 6 tokens
Test #4:
score: 0
Accepted
time: 10ms
memory: 12016kb
input:
5
output:
63 110 132 114 70 30 8 1
result:
ok 8 tokens
Test #5:
score: 0
Accepted
time: 11ms
memory: 12024kb
input:
6
output:
127 255 384 448 400 272 136 47 10 1
result:
ok 10 tokens
Test #6:
score: 0
Accepted
time: 11ms
memory: 12312kb
input:
7
output:
255 558 978 1401 1610 1478 1066 589 240 68 12 1
result:
ok 12 tokens
Test #7:
score: 0
Accepted
time: 7ms
memory: 12024kb
input:
8
output:
511 1179 2292 3803 5250 5987 5576 4183 2482 1137 388 93 14 1
result:
ok 14 tokens
Test #8:
score: 0
Accepted
time: 11ms
memory: 12124kb
input:
9
output:
1023 2438 5088 9398 14896 20038 22632 21250 16406 10282 5144 2006 588 122 16 1
result:
ok 16 tokens
Test #9:
score: 0
Accepted
time: 7ms
memory: 12020kb
input:
10
output:
2047 4975 10896 21772 38360 58724 77184 86312 81448 64324 42112 22576 9744 3304 848 155 18 1
result:
ok 18 tokens
Test #10:
score: 0
Accepted
time: 11ms
memory: 12028kb
input:
11
output:
4095 10070 22782 48209 92140 156292 232068 298744 330926 313422 252186 171122 97008 45368 17200 5155 1176 192 20 1
result:
ok 20 tokens
Test #11:
score: -100
Time Limit Exceeded
input:
500000