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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#410817 | #6323. Range NEQ | grass8cow# | AC ✓ | 709ms | 36104kb | C++17 | 1.5kb | 2024-05-14 15:21:22 | 2024-05-14 15:21:22 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int mod=998244353,G=3,GI=(mod+1)/3;
#define vi vector<int>
#define pb push_back
int qpow(int a,int b){
int c=1;for(;b;b>>=1){
if(b&1)c=1ll*a*c%mod;
a=1ll*a*a%mod;
}
return c;
}
int L,lb[1<<22];
void init(int n){
L=1;while(L<=n)L<<=1;
for(int i=0;i<L;i++)lb[i]=(lb[i>>1]>>1)|((i&1)?(L>>1):0);
}
void NTT(vi &a,int fl){
for(int i=0;i<L;i++)if(i>lb[i])swap(a[i],a[lb[i]]);
for(int o=1;o<L;o<<=1){
int Wn=qpow(fl?G:GI,(mod-1)/(o<<1));
for(int i=0;i<L;i+=(o<<1))for(int j=0,w=1;j<o;j++,w=1ll*w*Wn%mod){
int x=a[i+j],y=1ll*w*a[i+j+o]%mod;
a[i+j]=(x+y)%mod,a[i+j+o]=(x-y)%mod;
}
}
if(!fl){
int I=qpow(L,mod-2);
for(int i=0;i<L;i++)a[i]=1ll*a[i]*I%mod;
}
}
vi mul(vi a,vi b){
int n=(int)a.size()+(int)b.size()-1;init(n);
a.resize(L),b.resize(L),NTT(a,1),NTT(b,1);
for(int i=0;i<L;i++)a[i]=1ll*a[i]*b[i]%mod;
NTT(a,0);a.resize(n);
return a;
}
int n,m,jc[1010000],ij[1001000];
int C(int a,int b){return 1ll*jc[a]*ij[b]%mod*ij[a-b]%mod;}
int main(){
scanf("%d%d",&n,&m);
jc[0]=1;
for(int i=1;i<=n*m;i++)jc[i]=1ll*i*jc[i-1]%mod;
ij[n*m]=qpow(jc[n*m],mod-2);
for(int i=n*m;i;i--)ij[i-1]=1ll*i*ij[i]%mod;
vector<int>f,g;
g={1};
for(int i=0;i<=m;i++)f.pb((((m-i)&1)?-1ll:1ll)*C(m,i)*ij[i]%mod);
for(int z=n;z;z>>=1){
if(z&1)g=mul(g,f);
f=mul(f,f);
}
int ans=0;
for(int i=0;i<=n*m;i++)(ans+=1ll*jc[i]*g[i]%mod)%=mod;
ans=1ll*ans*qpow(jc[m],n)%mod;
return printf("%d",(ans+mod)%mod),0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 7788kb
input:
2 2
output:
4
result:
ok 1 number(s): "4"
Test #2:
score: 0
Accepted
time: 1ms
memory: 7900kb
input:
5 1
output:
44
result:
ok 1 number(s): "44"
Test #3:
score: 0
Accepted
time: 8ms
memory: 8020kb
input:
167 91
output:
284830080
result:
ok 1 number(s): "284830080"
Test #4:
score: 0
Accepted
time: 1ms
memory: 8064kb
input:
2 1
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 1ms
memory: 7824kb
input:
2 3
output:
36
result:
ok 1 number(s): "36"
Test #6:
score: 0
Accepted
time: 1ms
memory: 8044kb
input:
2 4
output:
576
result:
ok 1 number(s): "576"
Test #7:
score: 0
Accepted
time: 0ms
memory: 7808kb
input:
3 1
output:
2
result:
ok 1 number(s): "2"
Test #8:
score: 0
Accepted
time: 1ms
memory: 7904kb
input:
3 2
output:
80
result:
ok 1 number(s): "80"
Test #9:
score: 0
Accepted
time: 0ms
memory: 7824kb
input:
3 3
output:
12096
result:
ok 1 number(s): "12096"
Test #10:
score: 0
Accepted
time: 1ms
memory: 7804kb
input:
3 4
output:
4783104
result:
ok 1 number(s): "4783104"
Test #11:
score: 0
Accepted
time: 0ms
memory: 8040kb
input:
4 1
output:
9
result:
ok 1 number(s): "9"
Test #12:
score: 0
Accepted
time: 1ms
memory: 8064kb
input:
4 2
output:
4752
result:
ok 1 number(s): "4752"
Test #13:
score: 0
Accepted
time: 1ms
memory: 7816kb
input:
4 3
output:
17927568
result:
ok 1 number(s): "17927568"
Test #14:
score: 0
Accepted
time: 0ms
memory: 7852kb
input:
4 4
output:
776703752
result:
ok 1 number(s): "776703752"
Test #15:
score: 0
Accepted
time: 1ms
memory: 7836kb
input:
5 2
output:
440192
result:
ok 1 number(s): "440192"
Test #16:
score: 0
Accepted
time: 0ms
memory: 8044kb
input:
5 3
output:
189125068
result:
ok 1 number(s): "189125068"
Test #17:
score: 0
Accepted
time: 1ms
memory: 7828kb
input:
5 4
output:
975434093
result:
ok 1 number(s): "975434093"
Test #18:
score: 0
Accepted
time: 699ms
memory: 35876kb
input:
1000 1000
output:
720037464
result:
ok 1 number(s): "720037464"
Test #19:
score: 0
Accepted
time: 3ms
memory: 7900kb
input:
72 42
output:
638177567
result:
ok 1 number(s): "638177567"
Test #20:
score: 0
Accepted
time: 2ms
memory: 7836kb
input:
15 19
output:
663050288
result:
ok 1 number(s): "663050288"
Test #21:
score: 0
Accepted
time: 6ms
memory: 7976kb
input:
68 89
output:
94365047
result:
ok 1 number(s): "94365047"
Test #22:
score: 0
Accepted
time: 4ms
memory: 7992kb
input:
92 37
output:
652605307
result:
ok 1 number(s): "652605307"
Test #23:
score: 0
Accepted
time: 4ms
memory: 7972kb
input:
61 87
output:
498277867
result:
ok 1 number(s): "498277867"
Test #24:
score: 0
Accepted
time: 0ms
memory: 7968kb
input:
81 40
output:
133095344
result:
ok 1 number(s): "133095344"
Test #25:
score: 0
Accepted
time: 2ms
memory: 7836kb
input:
7 91
output:
524164813
result:
ok 1 number(s): "524164813"
Test #26:
score: 0
Accepted
time: 1ms
memory: 7812kb
input:
31 18
output:
361233485
result:
ok 1 number(s): "361233485"
Test #27:
score: 0
Accepted
time: 0ms
memory: 7956kb
input:
74 54
output:
500686087
result:
ok 1 number(s): "500686087"
Test #28:
score: 0
Accepted
time: 0ms
memory: 7740kb
input:
32 2
output:
586504335
result:
ok 1 number(s): "586504335"
Test #29:
score: 0
Accepted
time: 464ms
memory: 32376kb
input:
656 718
output:
346764298
result:
ok 1 number(s): "346764298"
Test #30:
score: 0
Accepted
time: 151ms
memory: 16672kb
input:
254 689
output:
358078813
result:
ok 1 number(s): "358078813"
Test #31:
score: 0
Accepted
time: 491ms
memory: 32512kb
input:
713 674
output:
914437613
result:
ok 1 number(s): "914437613"
Test #32:
score: 0
Accepted
time: 100ms
memory: 11544kb
input:
136 698
output:
56687290
result:
ok 1 number(s): "56687290"
Test #33:
score: 0
Accepted
time: 133ms
memory: 14304kb
input:
369 401
output:
312325811
result:
ok 1 number(s): "312325811"
Test #34:
score: 0
Accepted
time: 46ms
memory: 13544kb
input:
280 204
output:
280012063
result:
ok 1 number(s): "280012063"
Test #35:
score: 0
Accepted
time: 145ms
memory: 18072kb
input:
904 225
output:
162909174
result:
ok 1 number(s): "162909174"
Test #36:
score: 0
Accepted
time: 656ms
memory: 34416kb
input:
855 928
output:
39885159
result:
ok 1 number(s): "39885159"
Test #37:
score: 0
Accepted
time: 151ms
memory: 12304kb
input:
503 365
output:
745115888
result:
ok 1 number(s): "745115888"
Test #38:
score: 0
Accepted
time: 582ms
memory: 34576kb
input:
646 996
output:
610925577
result:
ok 1 number(s): "610925577"
Test #39:
score: 0
Accepted
time: 685ms
memory: 34588kb
input:
990 918
output:
203469632
result:
ok 1 number(s): "203469632"
Test #40:
score: 0
Accepted
time: 678ms
memory: 34904kb
input:
961 949
output:
169566857
result:
ok 1 number(s): "169566857"
Test #41:
score: 0
Accepted
time: 680ms
memory: 35928kb
input:
946 932
output:
352423195
result:
ok 1 number(s): "352423195"
Test #42:
score: 0
Accepted
time: 672ms
memory: 35712kb
input:
903 981
output:
196309824
result:
ok 1 number(s): "196309824"
Test #43:
score: 0
Accepted
time: 671ms
memory: 35656kb
input:
916 988
output:
487208972
result:
ok 1 number(s): "487208972"
Test #44:
score: 0
Accepted
time: 701ms
memory: 35468kb
input:
982 982
output:
387421488
result:
ok 1 number(s): "387421488"
Test #45:
score: 0
Accepted
time: 674ms
memory: 35952kb
input:
955 911
output:
955637031
result:
ok 1 number(s): "955637031"
Test #46:
score: 0
Accepted
time: 659ms
memory: 36104kb
input:
906 999
output:
798469943
result:
ok 1 number(s): "798469943"
Test #47:
score: 0
Accepted
time: 709ms
memory: 35424kb
input:
982 975
output:
193506289
result:
ok 1 number(s): "193506289"
Test #48:
score: 0
Accepted
time: 663ms
memory: 35772kb
input:
921 991
output:
431202149
result:
ok 1 number(s): "431202149"