QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#99511 | #6323. Range NEQ | Sorting# | AC ✓ | 1034ms | 59384kb | C++ | 3.2kb | 2023-04-22 19:42:38 | 2023-04-22 19:42:42 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
#define fi first
#define se second
const ll mod=998244353;
typedef vector<ll> poly;
const int mb=20;//can change !!!!
ll roots[1<<mb];
int rev[1<<mb];
ll pw(ll x,ll y){
if(y==0) return 1;
if(y%2) return x*pw(x,y-1)%mod;
ll res=pw(x,y/2);
return res*res%mod;
}
void operator<<(ostream& out,poly y){
for(auto c:y) out << c << ' ';
}
poly operator+(poly x,poly y){
int n=max(x.size(),y.size());
x.resize(n);y.resize(n);
for(int i=0; i<n ;i++){
x[i]+=y[i];
if(x[i]>=mod) x[i]-=mod;
}
return x;
}
poly operator-(poly x,poly y){
int n=max(x.size(),y.size());
x.resize(n);y.resize(n);
for(int i=0; i<n ;i++){
x[i]+=mod-y[i];
if(x[i]>=mod) x[i]-=mod;
}
return x;
}
void pre(){
roots[0]=1;
roots[1]=pw(15311432,1<<(23-mb));
for(int i=1; i<(1<<mb) ;i++) roots[i]=roots[i-1]*roots[1]%mod;
}
void fft(poly &p){
int n=p.size();
roots[0]=1;
int m=(1<<mb)/n;
for(int i=1; i<n ;i++){
rev[i]=rev[i/2]/2+((i&1)*n/2);
if(i<rev[i]) swap(p[i],p[rev[i]]);
}
for(int k=1; k<n ;k*=2){
for(int i=0; i<n ;i+=2*k){
int cur=0,step=n/(2*k);
for(int j=0; j<k;j++,cur+=step){
ll x=p[i+j];
ll y=p[i+j+k]*roots[cur*m]%mod;
p[i+j]=(x+y>=mod?x+y-mod:x+y);
p[i+j+k]=(x>=y?x-y:x+mod-y);
}
}
}
}
poly operator*(poly x,poly y){
int n=1;
while(n<x.size()+y.size()-1) n*=2;
x.resize(n,0);y.resize(n,0);
fft(x);fft(y);
for(int i=0; i<n ;i++) x[i]=x[i]*y[i]%mod;
reverse(x.begin()+1,x.end());
fft(x);
ll inv=pw(n,mod-2);
for(int i=0; i<n ;i++) x[i]=x[i]*inv%mod;
while(x.size()>1 && x.back()==0) x.pop_back();
return x;
}/*
vector<ll>multiply2(vector<ll>x,vector<ll>y){
vector<ll>z;z.resize(x.size()+y.size()-1);
for(auto c:z) c=0;
for(int i=0; i<x.size() ;i++){
for(int j=0; j<y.size() ;j++){
z[i+j]=(z[i+j]+x[i]*y[j])%mod;
}
}
return z;
}*/
poly inverse(poly x){
int n=1;
poly g;g.resize(1);
if(x[0]==1) g[0]=1;//:))
else g[0]=pw(x[0],mod-2);
while(n<x.size()){
poly f0(n),g0(n),f1(n);
if(x.size()<2*n) x.resize(2*n);
for(int i=0; i<n ;i++){
f0[i]=x[i];f1[i]=x[i+n];
g0[i]=g[i];
}
auto tmp=poly{1}-(f0*g0);tmp.resize(2*n);
for(int i=0; i<n ;i++) tmp[i]=tmp[i+n];
tmp=tmp-(f1*g0);
tmp.resize(n);
tmp=tmp*g0;tmp.resize(n);
g.resize(2*n);
for(int i=0; i<n ;i++) g[i+n]=tmp[i];
n*=2;
}
return g;
}
poly one = {1};
poly pw(poly x,ll y){
if(y==0) return one;
if(y%2) return x*pw(x,y-1);
poly res=pw(x,y/2);
return res*res;
}
//my code starts here
int n,m;
ll f[1000001],inf[1000001];
ll C(ll x,ll y){
return f[x]*inf[x-y]%mod*inf[y]%mod;
}
int main(){
ios::sync_with_stdio(false);cin.tie(0);
pre();
cin >> n >> m;
f[0]=1;
for(int i=1; i<=n*m ;i++) f[i]=i*f[i-1]%mod;
inf[n*m]=pw(f[n*m],mod-2);
for(int i=n*m; i>=1 ;i--) inf[i-1]=i*inf[i]%mod;
poly g(m+1);
for(int i=0; i<=m ;i++){
g[i]=C(m,i)*inf[i]%mod;
if((m-i)%2==1) g[i]=(mod-g[i])%mod;
}
g=pw(g,n);
ll ans=0;
for(int i=0; i<=n*m ;i++){
//cout << g[i] << ' ';
ans=(ans+g[i]*f[i])%mod;
}
//cout << endl;
ans=ans*pw(f[m],n)%mod;
cout << ans << '\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 6ms
memory: 16096kb
input:
2 2
output:
4
result:
ok 1 number(s): "4"
Test #2:
score: 0
Accepted
time: 2ms
memory: 16332kb
input:
5 1
output:
44
result:
ok 1 number(s): "44"
Test #3:
score: 0
Accepted
time: 15ms
memory: 16964kb
input:
167 91
output:
284830080
result:
ok 1 number(s): "284830080"
Test #4:
score: 0
Accepted
time: 4ms
memory: 17552kb
input:
2 1
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 8ms
memory: 16348kb
input:
2 3
output:
36
result:
ok 1 number(s): "36"
Test #6:
score: 0
Accepted
time: 4ms
memory: 17340kb
input:
2 4
output:
576
result:
ok 1 number(s): "576"
Test #7:
score: 0
Accepted
time: 8ms
memory: 15820kb
input:
3 1
output:
2
result:
ok 1 number(s): "2"
Test #8:
score: 0
Accepted
time: 2ms
memory: 16296kb
input:
3 2
output:
80
result:
ok 1 number(s): "80"
Test #9:
score: 0
Accepted
time: 8ms
memory: 17548kb
input:
3 3
output:
12096
result:
ok 1 number(s): "12096"
Test #10:
score: 0
Accepted
time: 2ms
memory: 17608kb
input:
3 4
output:
4783104
result:
ok 1 number(s): "4783104"
Test #11:
score: 0
Accepted
time: 8ms
memory: 15832kb
input:
4 1
output:
9
result:
ok 1 number(s): "9"
Test #12:
score: 0
Accepted
time: 4ms
memory: 17764kb
input:
4 2
output:
4752
result:
ok 1 number(s): "4752"
Test #13:
score: 0
Accepted
time: 8ms
memory: 16728kb
input:
4 3
output:
17927568
result:
ok 1 number(s): "17927568"
Test #14:
score: 0
Accepted
time: 2ms
memory: 17076kb
input:
4 4
output:
776703752
result:
ok 1 number(s): "776703752"
Test #15:
score: 0
Accepted
time: 4ms
memory: 16236kb
input:
5 2
output:
440192
result:
ok 1 number(s): "440192"
Test #16:
score: 0
Accepted
time: 2ms
memory: 16688kb
input:
5 3
output:
189125068
result:
ok 1 number(s): "189125068"
Test #17:
score: 0
Accepted
time: 4ms
memory: 17008kb
input:
5 4
output:
975434093
result:
ok 1 number(s): "975434093"
Test #18:
score: 0
Accepted
time: 616ms
memory: 59384kb
input:
1000 1000
output:
720037464
result:
ok 1 number(s): "720037464"
Test #19:
score: 0
Accepted
time: 5ms
memory: 15820kb
input:
72 42
output:
638177567
result:
ok 1 number(s): "638177567"
Test #20:
score: 0
Accepted
time: 9ms
memory: 16848kb
input:
15 19
output:
663050288
result:
ok 1 number(s): "663050288"
Test #21:
score: 0
Accepted
time: 12ms
memory: 16724kb
input:
68 89
output:
94365047
result:
ok 1 number(s): "94365047"
Test #22:
score: 0
Accepted
time: 7ms
memory: 17356kb
input:
92 37
output:
652605307
result:
ok 1 number(s): "652605307"
Test #23:
score: 0
Accepted
time: 10ms
memory: 16364kb
input:
61 87
output:
498277867
result:
ok 1 number(s): "498277867"
Test #24:
score: 0
Accepted
time: 7ms
memory: 17260kb
input:
81 40
output:
133095344
result:
ok 1 number(s): "133095344"
Test #25:
score: 0
Accepted
time: 9ms
memory: 16756kb
input:
7 91
output:
524164813
result:
ok 1 number(s): "524164813"
Test #26:
score: 0
Accepted
time: 4ms
memory: 17484kb
input:
31 18
output:
361233485
result:
ok 1 number(s): "361233485"
Test #27:
score: 0
Accepted
time: 6ms
memory: 16000kb
input:
74 54
output:
500686087
result:
ok 1 number(s): "500686087"
Test #28:
score: 0
Accepted
time: 9ms
memory: 17212kb
input:
32 2
output:
586504335
result:
ok 1 number(s): "586504335"
Test #29:
score: 0
Accepted
time: 280ms
memory: 39024kb
input:
656 718
output:
346764298
result:
ok 1 number(s): "346764298"
Test #30:
score: 0
Accepted
time: 180ms
memory: 26544kb
input:
254 689
output:
358078813
result:
ok 1 number(s): "358078813"
Test #31:
score: 0
Accepted
time: 414ms
memory: 39376kb
input:
713 674
output:
914437613
result:
ok 1 number(s): "914437613"
Test #32:
score: 0
Accepted
time: 67ms
memory: 19632kb
input:
136 698
output:
56687290
result:
ok 1 number(s): "56687290"
Test #33:
score: 0
Accepted
time: 188ms
memory: 26908kb
input:
369 401
output:
312325811
result:
ok 1 number(s): "312325811"
Test #34:
score: 0
Accepted
time: 29ms
memory: 18372kb
input:
280 204
output:
280012063
result:
ok 1 number(s): "280012063"
Test #35:
score: 0
Accepted
time: 146ms
memory: 28452kb
input:
904 225
output:
162909174
result:
ok 1 number(s): "162909174"
Test #36:
score: 0
Accepted
time: 1034ms
memory: 55152kb
input:
855 928
output:
39885159
result:
ok 1 number(s): "39885159"
Test #37:
score: 0
Accepted
time: 229ms
memory: 26272kb
input:
503 365
output:
745115888
result:
ok 1 number(s): "745115888"
Test #38:
score: 0
Accepted
time: 729ms
memory: 52804kb
input:
646 996
output:
610925577
result:
ok 1 number(s): "610925577"
Test #39:
score: 0
Accepted
time: 799ms
memory: 58184kb
input:
990 918
output:
203469632
result:
ok 1 number(s): "203469632"
Test #40:
score: 0
Accepted
time: 843ms
memory: 58332kb
input:
961 949
output:
169566857
result:
ok 1 number(s): "169566857"
Test #41:
score: 0
Accepted
time: 723ms
memory: 57628kb
input:
946 932
output:
352423195
result:
ok 1 number(s): "352423195"
Test #42:
score: 0
Accepted
time: 1017ms
memory: 58264kb
input:
903 981
output:
196309824
result:
ok 1 number(s): "196309824"
Test #43:
score: 0
Accepted
time: 646ms
memory: 58312kb
input:
916 988
output:
487208972
result:
ok 1 number(s): "487208972"
Test #44:
score: 0
Accepted
time: 797ms
memory: 58940kb
input:
982 982
output:
387421488
result:
ok 1 number(s): "387421488"
Test #45:
score: 0
Accepted
time: 1023ms
memory: 58204kb
input:
955 911
output:
955637031
result:
ok 1 number(s): "955637031"
Test #46:
score: 0
Accepted
time: 739ms
memory: 58504kb
input:
906 999
output:
798469943
result:
ok 1 number(s): "798469943"
Test #47:
score: 0
Accepted
time: 773ms
memory: 59096kb
input:
982 975
output:
193506289
result:
ok 1 number(s): "193506289"
Test #48:
score: 0
Accepted
time: 882ms
memory: 58436kb
input:
921 991
output:
431202149
result:
ok 1 number(s): "431202149"