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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 |
---|---|---|---|---|---|---|---|---|---|
#379952 | #8329. Excuse | bachbeo2007 | AC ✓ | 475ms | 16632kb | C++23 | 3.6kb | 2024-04-06 20:12:05 | 2024-04-06 20:12:06 |
Judging History
answer
// Judges with GCC >= 12 only needs Ofast
// #pragma GCC optimize("O3,no-stack-protector,fast-math,unroll-loops,tree-vectorize")
// MLE optimization
// #pragma GCC optimize("conserve-stack")
// Old judges
// #pragma GCC target("sse4.2,popcnt,lzcnt,abm,mmx,fma,bmi,bmi2")
// New judges. Test with assert(__builtin_cpu_supports("avx2"));
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma,tune=native")
// Atcoder
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma")
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
- insert(x),erase(x)
- find_by_order(k): return iterator to the k-th smallest element
- order_of_key(x): the number of elements that are strictly smaller
*/
#include<bits/stdc++.h>
using namespace std;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_real_distribution<> pp(0.0,1.0);
#define int long long
#define ld long double
#define pii pair<int,int>
#define piii pair<int,pii>
#define mpp make_pair
#define fi first
#define se second
const int inf=1e18;
const int mod=998244353;
const int maxn=200005;
const int B=650;
const int maxs=655;
const int maxm=200005;
const int maxq=1000005;
const int maxl=25;
const int maxa=1000000;
const int root=3;
int power(int a,int n){
int res=1;
while(n){
if(n&1) res=res*a%mod;
a=a*a%mod;n>>=1;
}
return res;
}
const int iroot=power(3,mod-2);
const int base=101;
void fft(vector<int> &a,bool invert){
int n=(int)a.size();
for(int i=1,j=0;i<n;i++){
int bit=n>>1;
while(j&bit){j^=bit;bit>>=1;}
j^=bit;
if(i<j) swap(a[i],a[j]);
}
for(int len=2;len<=n;len<<=1){
int wn=power((invert?iroot:root),(mod-1)/len);
for(int i=0;i<n;i+=len){
int w=1;
for(int j=0;j<len/2;j++){
int u=a[i+j],v=a[i+j+len/2]*w%mod;
a[i+j]=(u+v)%mod;
a[i+j+len/2]=(u-v+mod)%mod;
w=w*wn%mod;
}
}
}
if(invert){
int dd=power(n,mod-2);
for(int i=0;i<n;i++) a[i]=a[i]*dd%mod;
}
return;
}
vector<int> mul(vector<int> a,vector<int> b){
int n=(int)a.size()+(int)b.size(),sz=1;
while(sz<n) sz<<=1;
a.resize(sz);b.resize(sz);
fft(a,false);fft(b,false);
for(int i=0;i<sz;i++) a[i]=a[i]*b[i]%mod;
fft(a,true);
return a;
}
int fac[maxn],dfac[maxn],inv[maxn];
int C(int n,int k){
if(k>n || k<0 || n<0) return 0;
return fac[n]*dfac[k]%mod*dfac[n-k]%mod;
}
void combi(int n){
fac[0]=inv[0]=1;
for(int i=1;i<=n;i++) fac[i]=fac[i-1]*i%mod;
dfac[n]=power(fac[n],mod-2);
for(int i=n;i>=1;i--){
dfac[i-1]=dfac[i]*i%mod;
inv[i]=dfac[i]*fac[i-1]%mod;
}
}
int dp[maxn],inv2[maxn];
void dnc(int l,int r){
if(l==r){
dp[l]=dp[l]*inv2[l]%mod*fac[l]%mod;
return;
}
int mid=(l+r)>>1;
dnc(l,mid);
vector<int> a(mid-l+1),b(r-l+1);
for(int i=l;i<=mid;i++) a[i-l]=(dp[i]+1)*dfac[i]%mod;
for(int i=0;i<=r-l;i++) b[i]=dfac[i]%mod;
a=mul(a,b);
for(int i=mid+1;i<=r;i++) dp[i]=(dp[i]+a[i-l])%mod;
dnc(mid+1,r);
}
void solve(){
int n;cin >> n;combi(n);
inv2[0]=1;
for(int i=1;i<=n;i++) inv2[i]=inv2[i-1]*((mod+1)/2)%mod;
dnc(0,n);
cout << dp[n] << '\n';
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
int test=1;//cin >> test;
while(test--) solve();
}
这程序好像有点Bug,我给组数据试试?
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 7928kb
input:
1
output:
499122177
result:
ok 1 number(s): "499122177"
Test #2:
score: 0
Accepted
time: 1ms
memory: 7660kb
input:
3
output:
561512450
result:
ok 1 number(s): "561512450"
Test #3:
score: 0
Accepted
time: 1ms
memory: 7728kb
input:
10
output:
609769250
result:
ok 1 number(s): "609769250"
Test #4:
score: 0
Accepted
time: 4ms
memory: 10016kb
input:
1000
output:
475714976
result:
ok 1 number(s): "475714976"
Test #5:
score: 0
Accepted
time: 3ms
memory: 7676kb
input:
1024
output:
178624793
result:
ok 1 number(s): "178624793"
Test #6:
score: 0
Accepted
time: 475ms
memory: 15084kb
input:
100000
output:
537516197
result:
ok 1 number(s): "537516197"
Test #7:
score: 0
Accepted
time: 469ms
memory: 15548kb
input:
99471
output:
489775976
result:
ok 1 number(s): "489775976"
Test #8:
score: 0
Accepted
time: 230ms
memory: 13560kb
input:
65536
output:
171446457
result:
ok 1 number(s): "171446457"
Test #9:
score: 0
Accepted
time: 259ms
memory: 12924kb
input:
84792
output:
371578800
result:
ok 1 number(s): "371578800"
Test #10:
score: 0
Accepted
time: 468ms
memory: 16632kb
input:
93846
output:
841905002
result:
ok 1 number(s): "841905002"
Extra Test:
score: 0
Extra Test Passed