QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#97711 | #6323. Range NEQ | Wolam | AC ✓ | 189ms | 46252kb | C++14 | 1.4kb | 2023-04-17 23:10:38 | 2023-04-17 23:10:39 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define int long long
const int M=998244353;
const int q=3;
const int qq=332748118;
int n,m,f[4000005],tr[4000005];
int qpow(int x,int y)
{
int ans=1;
while(y)
{
if(y&1)ans=ans*x%M;
x=x*x%M;
y>>=1;
}
return ans;
}
void ntt(int lim,int *f,int typ)
{
for(int i=0;i<lim;i++)
tr[i]=(tr[i>>1]>>1)|((i&1)?(lim>>1):0);
for(int i=0;i<lim;i++)
if(i<tr[i])swap(f[i],f[tr[i]]);
for(int o=2,k=1;o<=lim;k<<=1,o<<=1)
{
int wn=qpow(typ?q:qq,(M-1)/o);
for(int i=0;i<lim;i+=o)
{
int w=1;
for(int j=0;j<k;j++)
{
int a=f[i+j],b=f[i+j+k];
f[i+j]=(a+b*w)%M;
f[i+j+k]=(a-b*w%M+M)%M;
w=w*wn%M;
}
}
}
if(typ)return;
int inv=qpow(lim,M-2);
for(int i=0;i<lim;i++)
f[i]=f[i]*inv%M;
}
int jc[4000005],inv[4000005],jcinv[4000005];
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
cin>>n>>m;
jc[0]=jcinv[0]=1;
inv[1]=1;
for(int i=2;i<=n*m;i++)
inv[i]=(M-M/i)*inv[M%i]%M;
for(int i=1;i<=m*n;i++)
jc[i]=i*jc[i-1]%M,jcinv[i]=inv[i]*jcinv[i-1]%M;
for(int i=0;i<=m;i++)
f[i]=jc[m]*jc[m]%M*jcinv[m-i]%M*jcinv[m-i]%M*jcinv[i]%M;
int lim=1;
while(lim<n*m+1)lim<<=1;
ntt(lim,f,1);
for(int i=0;i<lim;i++)
f[i]=qpow(f[i],n);
ntt(lim,f,0);
int ans=0;
for(int i=0,t=1;i<=n*m;i++,t=t*(M-1)%M)
{
ans=(ans+t*f[i]%M*jc[n*m-i])%M;
}
cout<<ans;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 11732kb
input:
2 2
output:
4
result:
ok 1 number(s): "4"
Test #2:
score: 0
Accepted
time: 4ms
memory: 11744kb
input:
5 1
output:
44
result:
ok 1 number(s): "44"
Test #3:
score: 0
Accepted
time: 4ms
memory: 11708kb
input:
167 91
output:
284830080
result:
ok 1 number(s): "284830080"
Test #4:
score: 0
Accepted
time: 4ms
memory: 11572kb
input:
2 1
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 4ms
memory: 11496kb
input:
2 3
output:
36
result:
ok 1 number(s): "36"
Test #6:
score: 0
Accepted
time: 2ms
memory: 13688kb
input:
2 4
output:
576
result:
ok 1 number(s): "576"
Test #7:
score: 0
Accepted
time: 2ms
memory: 11524kb
input:
3 1
output:
2
result:
ok 1 number(s): "2"
Test #8:
score: 0
Accepted
time: 0ms
memory: 11532kb
input:
3 2
output:
80
result:
ok 1 number(s): "80"
Test #9:
score: 0
Accepted
time: 4ms
memory: 11572kb
input:
3 3
output:
12096
result:
ok 1 number(s): "12096"
Test #10:
score: 0
Accepted
time: 2ms
memory: 11536kb
input:
3 4
output:
4783104
result:
ok 1 number(s): "4783104"
Test #11:
score: 0
Accepted
time: 3ms
memory: 11692kb
input:
4 1
output:
9
result:
ok 1 number(s): "9"
Test #12:
score: 0
Accepted
time: 2ms
memory: 11696kb
input:
4 2
output:
4752
result:
ok 1 number(s): "4752"
Test #13:
score: 0
Accepted
time: 0ms
memory: 11556kb
input:
4 3
output:
17927568
result:
ok 1 number(s): "17927568"
Test #14:
score: 0
Accepted
time: 2ms
memory: 11596kb
input:
4 4
output:
776703752
result:
ok 1 number(s): "776703752"
Test #15:
score: 0
Accepted
time: 1ms
memory: 11496kb
input:
5 2
output:
440192
result:
ok 1 number(s): "440192"
Test #16:
score: 0
Accepted
time: 3ms
memory: 11584kb
input:
5 3
output:
189125068
result:
ok 1 number(s): "189125068"
Test #17:
score: 0
Accepted
time: 1ms
memory: 11496kb
input:
5 4
output:
975434093
result:
ok 1 number(s): "975434093"
Test #18:
score: 0
Accepted
time: 174ms
memory: 46032kb
input:
1000 1000
output:
720037464
result:
ok 1 number(s): "720037464"
Test #19:
score: 0
Accepted
time: 0ms
memory: 11612kb
input:
72 42
output:
638177567
result:
ok 1 number(s): "638177567"
Test #20:
score: 0
Accepted
time: 1ms
memory: 11588kb
input:
15 19
output:
663050288
result:
ok 1 number(s): "663050288"
Test #21:
score: 0
Accepted
time: 1ms
memory: 11624kb
input:
68 89
output:
94365047
result:
ok 1 number(s): "94365047"
Test #22:
score: 0
Accepted
time: 1ms
memory: 11604kb
input:
92 37
output:
652605307
result:
ok 1 number(s): "652605307"
Test #23:
score: 0
Accepted
time: 0ms
memory: 11532kb
input:
61 87
output:
498277867
result:
ok 1 number(s): "498277867"
Test #24:
score: 0
Accepted
time: 2ms
memory: 11544kb
input:
81 40
output:
133095344
result:
ok 1 number(s): "133095344"
Test #25:
score: 0
Accepted
time: 4ms
memory: 11500kb
input:
7 91
output:
524164813
result:
ok 1 number(s): "524164813"
Test #26:
score: 0
Accepted
time: 3ms
memory: 11540kb
input:
31 18
output:
361233485
result:
ok 1 number(s): "361233485"
Test #27:
score: 0
Accepted
time: 4ms
memory: 11544kb
input:
74 54
output:
500686087
result:
ok 1 number(s): "500686087"
Test #28:
score: 0
Accepted
time: 4ms
memory: 11532kb
input:
32 2
output:
586504335
result:
ok 1 number(s): "586504335"
Test #29:
score: 0
Accepted
time: 82ms
memory: 27664kb
input:
656 718
output:
346764298
result:
ok 1 number(s): "346764298"
Test #30:
score: 0
Accepted
time: 36ms
memory: 19108kb
input:
254 689
output:
358078813
result:
ok 1 number(s): "358078813"
Test #31:
score: 0
Accepted
time: 80ms
memory: 27176kb
input:
713 674
output:
914437613
result:
ok 1 number(s): "914437613"
Test #32:
score: 0
Accepted
time: 22ms
memory: 14528kb
input:
136 698
output:
56687290
result:
ok 1 number(s): "56687290"
Test #33:
score: 0
Accepted
time: 32ms
memory: 17812kb
input:
369 401
output:
312325811
result:
ok 1 number(s): "312325811"
Test #34:
score: 0
Accepted
time: 6ms
memory: 14060kb
input:
280 204
output:
280012063
result:
ok 1 number(s): "280012063"
Test #35:
score: 0
Accepted
time: 40ms
memory: 18948kb
input:
904 225
output:
162909174
result:
ok 1 number(s): "162909174"
Test #36:
score: 0
Accepted
time: 178ms
memory: 41588kb
input:
855 928
output:
39885159
result:
ok 1 number(s): "39885159"
Test #37:
score: 0
Accepted
time: 38ms
memory: 19780kb
input:
503 365
output:
745115888
result:
ok 1 number(s): "745115888"
Test #38:
score: 0
Accepted
time: 163ms
memory: 38352kb
input:
646 996
output:
610925577
result:
ok 1 number(s): "610925577"
Test #39:
score: 0
Accepted
time: 179ms
memory: 42984kb
input:
990 918
output:
203469632
result:
ok 1 number(s): "203469632"
Test #40:
score: 0
Accepted
time: 175ms
memory: 46252kb
input:
961 949
output:
169566857
result:
ok 1 number(s): "169566857"
Test #41:
score: 0
Accepted
time: 179ms
memory: 42780kb
input:
946 932
output:
352423195
result:
ok 1 number(s): "352423195"
Test #42:
score: 0
Accepted
time: 172ms
memory: 43984kb
input:
903 981
output:
196309824
result:
ok 1 number(s): "196309824"
Test #43:
score: 0
Accepted
time: 160ms
memory: 43484kb
input:
916 988
output:
487208972
result:
ok 1 number(s): "487208972"
Test #44:
score: 0
Accepted
time: 179ms
memory: 45320kb
input:
982 982
output:
387421488
result:
ok 1 number(s): "387421488"
Test #45:
score: 0
Accepted
time: 189ms
memory: 43672kb
input:
955 911
output:
955637031
result:
ok 1 number(s): "955637031"
Test #46:
score: 0
Accepted
time: 172ms
memory: 46040kb
input:
906 999
output:
798469943
result:
ok 1 number(s): "798469943"
Test #47:
score: 0
Accepted
time: 189ms
memory: 45136kb
input:
982 975
output:
193506289
result:
ok 1 number(s): "193506289"
Test #48:
score: 0
Accepted
time: 175ms
memory: 46056kb
input:
921 991
output:
431202149
result:
ok 1 number(s): "431202149"