QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#289694 | #7632. Balanced Arrays | bachbeo2007 | AC ✓ | 214ms | 78280kb | C++23 | 3.9kb | 2023-12-23 21:19:13 | 2023-12-23 21:19:14 |
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=2000005;
const int bl=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=131;
int fac[maxn],dfac[maxn],inv[maxn];
int C(int n,int k){
if(k>n) return 0;
return fac[n]*dfac[k]%mod*dfac[n-k]%mod;
}
void combi(int n){
fac[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;
}
}
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;
}
void solve(){
int n,m;cin >> n >> m;
combi(2000000);
int res=1;
/*
for(int k=0;k<=m;k++){
for(int peak=0;peak<=k;peak++){
int num=C(k,peak)*C(k,peak-1)%mod*inv[k]%mod;
res=(res+num*C(n+2*k-2*peak+1,n-2*peak+1))%mod;
//k!/(k-peak)!/peak!*k!/(k-peak+1)!/(peak-1)!*1/k*(n+2*k-2*peak+1)!/2*k!/(n-2*peak+1)!
//k!*k!*1/k/(2*k)! * /peak!/(peak-1)!/(n-2*peak+1)! * /(k-peak)!/(k-peak+1)!*(n+2*k-2*peak+1)!
}
}
*/
vector<int> K(m+1,0),Peak(m+1,0);
for(int i=0;i<=m;i++){
K[i]=fac[i]*fac[i]%mod*inv[i]%mod*dfac[2*i]%mod;
}
for(int i=1;i<=min(m,(n+1)/2);i++){
Peak[m-i]=dfac[i]*dfac[i-1]%mod*dfac[n-2*i+1]%mod;
}
vector<int> ans=mul(K,Peak);
for(int i=0;i<=m;i++){
res=(res+ans[m+i]*dfac[i]%mod*dfac[i+1]%mod*fac[n+2*i+1]%mod)%mod;
}
cout << res << '\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?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 14ms
memory: 50472kb
input:
2 2
output:
9
result:
ok 1 number(s): "9"
Test #2:
score: 0
Accepted
time: 209ms
memory: 78068kb
input:
500000 500000
output:
984531374
result:
ok 1 number(s): "984531374"
Test #3:
score: 0
Accepted
time: 16ms
memory: 50700kb
input:
500000 1
output:
219705876
result:
ok 1 number(s): "219705876"
Test #4:
score: 0
Accepted
time: 207ms
memory: 78280kb
input:
1 500000
output:
500001
result:
ok 1 number(s): "500001"
Test #5:
score: 0
Accepted
time: 195ms
memory: 74664kb
input:
500000 353535
output:
33730077
result:
ok 1 number(s): "33730077"
Test #6:
score: 0
Accepted
time: 200ms
memory: 78100kb
input:
353535 500000
output:
182445298
result:
ok 1 number(s): "182445298"
Test #7:
score: 0
Accepted
time: 208ms
memory: 78280kb
input:
499999 499999
output:
933220940
result:
ok 1 number(s): "933220940"
Test #8:
score: 0
Accepted
time: 204ms
memory: 78212kb
input:
499999 499998
output:
899786345
result:
ok 1 number(s): "899786345"
Test #9:
score: 0
Accepted
time: 194ms
memory: 75720kb
input:
377773 400009
output:
206748715
result:
ok 1 number(s): "206748715"
Test #10:
score: 0
Accepted
time: 54ms
memory: 56420kb
input:
499999 100001
output:
482775773
result:
ok 1 number(s): "482775773"
Test #11:
score: 0
Accepted
time: 211ms
memory: 77772kb
input:
444445 488884
output:
70939759
result:
ok 1 number(s): "70939759"
Test #12:
score: 0
Accepted
time: 211ms
memory: 76792kb
input:
488885 444449
output:
591315327
result:
ok 1 number(s): "591315327"
Test #13:
score: 0
Accepted
time: 20ms
memory: 50456kb
input:
500000 111
output:
313439156
result:
ok 1 number(s): "313439156"
Test #14:
score: 0
Accepted
time: 185ms
memory: 76788kb
input:
333333 444444
output:
403492103
result:
ok 1 number(s): "403492103"
Test #15:
score: 0
Accepted
time: 208ms
memory: 74456kb
input:
499994 343433
output:
334451699
result:
ok 1 number(s): "334451699"
Test #16:
score: 0
Accepted
time: 210ms
memory: 76120kb
input:
477774 411113
output:
63883341
result:
ok 1 number(s): "63883341"
Test #17:
score: 0
Accepted
time: 200ms
memory: 76504kb
input:
123456 432109
output:
238795570
result:
ok 1 number(s): "238795570"
Test #18:
score: 0
Accepted
time: 202ms
memory: 77300kb
input:
131331 467777
output:
834790039
result:
ok 1 number(s): "834790039"
Test #19:
score: 0
Accepted
time: 3ms
memory: 50476kb
input:
500000 2
output:
304727284
result:
ok 1 number(s): "304727284"
Test #20:
score: 0
Accepted
time: 23ms
memory: 50420kb
input:
1111 111
output:
98321603
result:
ok 1 number(s): "98321603"
Test #21:
score: 0
Accepted
time: 199ms
memory: 77900kb
input:
416084 493105
output:
916827025
result:
ok 1 number(s): "916827025"
Test #22:
score: 0
Accepted
time: 91ms
memory: 61548kb
input:
53888 138663
output:
57263952
result:
ok 1 number(s): "57263952"
Test #23:
score: 0
Accepted
time: 214ms
memory: 75284kb
input:
219161 382743
output:
304889787
result:
ok 1 number(s): "304889787"
Test #24:
score: 0
Accepted
time: 193ms
memory: 73776kb
input:
181392 318090
output:
12528742
result:
ok 1 number(s): "12528742"
Test #25:
score: 0
Accepted
time: 204ms
memory: 76288kb
input:
135930 422947
output:
554153000
result:
ok 1 number(s): "554153000"
Test #26:
score: 0
Accepted
time: 109ms
memory: 63072kb
input:
280507 210276
output:
812816587
result:
ok 1 number(s): "812816587"
Test #27:
score: 0
Accepted
time: 208ms
memory: 76188kb
input:
253119 420465
output:
124024302
result:
ok 1 number(s): "124024302"
Test #28:
score: 0
Accepted
time: 46ms
memory: 56352kb
input:
446636 97448
output:
150388382
result:
ok 1 number(s): "150388382"
Test #29:
score: 0
Accepted
time: 47ms
memory: 57056kb
input:
284890 126665
output:
786559507
result:
ok 1 number(s): "786559507"
Test #30:
score: 0
Accepted
time: 24ms
memory: 51640kb
input:
186708 28279
output:
607509026
result:
ok 1 number(s): "607509026"
Extra Test:
score: 0
Extra Test Passed