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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#644957#6417. Classical Summation Problemucup-team073#AC ✓135ms19648kbC++201.3kb2024-10-16 16:11:532024-10-16 16:11:54

Judging History

你现在查看的是最新测评结果

  • [2024-10-16 16:11:54]
  • 评测
  • 测评结果:AC
  • 用时:135ms
  • 内存:19648kb
  • [2024-10-16 16:11:53]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long
#define pb push_back
#define pii pair<int,int>
#define st first
#define nd second
using namespace std;
inline int read(){
    int x=0,f=1;char ch=getchar();
    for(;!isdigit(ch);ch=getchar())f^=ch=='-';
    for(;isdigit(ch);ch=getchar())x=x*10+(ch^48);
    return f?x:-x;
}
mt19937 rnd(time(0));
const int mo=998244353;
inline int qpow(int x,int t){
    int ret=1;
    for(;t;t>>=1,x=x*x%mo)if(t&1)ret=ret*x%mo;
    return ret;
}
inline void red(int &x){x>=mo?x-=mo:0;}
inline void chmin(int &x,int y){x=min(x,y);}
inline void chmax(int &x,int y){x=max(x,y);}

const int N=1e6+5;
int ans,fac[N],ifac[N],n,k,d;
inline int C(int x,int y){
    if(y>x||x-y>x)return 0;
    return fac[x]*ifac[y]%mo*ifac[x-y]%mo;
}
void solve(){
    n=read(),k=read();
    if(k&1)printf("%lld\n",(n+1)*qpow(2,mo-2)%mo*qpow(n,k)%mo);
    else{
        int tmp=(n+1)*qpow(2,mo-2)%mo*qpow(n,k)%mo;
        for(int i=1;i<n;++i){
            red(d+=C(k,k/2)*qpow(i,k/2)%mo*qpow(n-i,k/2)%mo);
        }
        d=d*qpow(2,mo-2)%mo;
        printf("%lld\n",(tmp+mo-d)%mo);
    }
    return;
}
signed main(){
    fac[0]=1;
    for(int i=1;i<N;++i)fac[i]=fac[i-1]*i%mo;
    ifac[N-1]=qpow(fac[N-1],mo-2);
    for(int i=N-1;i;--i)ifac[i-1]=ifac[i]*i%mo;
    for(int cas=1;cas--;)solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 8ms
memory: 19456kb

input:

3 2

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 12ms
memory: 19456kb

input:

5 3

output:

375

result:

ok 1 number(s): "375"

Test #3:

score: 0
Accepted
time: 8ms
memory: 19580kb

input:

2 2

output:

5

result:

ok 1 number(s): "5"

Test #4:

score: 0
Accepted
time: 4ms
memory: 19540kb

input:

10 9

output:

508778235

result:

ok 1 number(s): "508778235"

Test #5:

score: 0
Accepted
time: 8ms
memory: 19476kb

input:

69 3

output:

11497815

result:

ok 1 number(s): "11497815"

Test #6:

score: 0
Accepted
time: 4ms
memory: 19528kb

input:

994 515

output:

33689623

result:

ok 1 number(s): "33689623"

Test #7:

score: 0
Accepted
time: 6ms
memory: 19452kb

input:

4476 6182

output:

114894183

result:

ok 1 number(s): "114894183"

Test #8:

score: 0
Accepted
time: 8ms
memory: 19548kb

input:

58957 12755

output:

932388891

result:

ok 1 number(s): "932388891"

Test #9:

score: 0
Accepted
time: 23ms
memory: 19508kb

input:

218138 28238

output:

392861201

result:

ok 1 number(s): "392861201"

Test #10:

score: 0
Accepted
time: 77ms
memory: 19548kb

input:

644125 316810

output:

420621854

result:

ok 1 number(s): "420621854"

Test #11:

score: 0
Accepted
time: 80ms
memory: 19644kb

input:

612914 505428

output:

973686286

result:

ok 1 number(s): "973686286"

Test #12:

score: 0
Accepted
time: 8ms
memory: 19584kb

input:

998216 938963

output:

251335926

result:

ok 1 number(s): "251335926"

Test #13:

score: 0
Accepted
time: 8ms
memory: 19516kb

input:

990516 996933

output:

549551960

result:

ok 1 number(s): "549551960"

Test #14:

score: 0
Accepted
time: 127ms
memory: 19648kb

input:

999019 999012

output:

637189128

result:

ok 1 number(s): "637189128"

Test #15:

score: 0
Accepted
time: 132ms
memory: 19584kb

input:

999928 999950

output:

185229465

result:

ok 1 number(s): "185229465"

Test #16:

score: 0
Accepted
time: 13ms
memory: 19452kb

input:

999999 999999

output:

384164916

result:

ok 1 number(s): "384164916"

Test #17:

score: 0
Accepted
time: 129ms
memory: 19456kb

input:

999999 1000000

output:

696165930

result:

ok 1 number(s): "696165930"

Test #18:

score: 0
Accepted
time: 8ms
memory: 19520kb

input:

1000000 999999

output:

219071706

result:

ok 1 number(s): "219071706"

Test #19:

score: 0
Accepted
time: 122ms
memory: 19536kb

input:

1000000 1000000

output:

128206597

result:

ok 1 number(s): "128206597"

Test #20:

score: 0
Accepted
time: 13ms
memory: 19536kb

input:

2 10

output:

1410

result:

ok 1 number(s): "1410"

Test #21:

score: 0
Accepted
time: 4ms
memory: 19524kb

input:

84 16

output:

297627153

result:

ok 1 number(s): "297627153"

Test #22:

score: 0
Accepted
time: 12ms
memory: 19520kb

input:

643 800

output:

489237163

result:

ok 1 number(s): "489237163"

Test #23:

score: 0
Accepted
time: 3ms
memory: 19452kb

input:

9903 880

output:

595167333

result:

ok 1 number(s): "595167333"

Test #24:

score: 0
Accepted
time: 22ms
memory: 19460kb

input:

97446 89750

output:

410205549

result:

ok 1 number(s): "410205549"

Test #25:

score: 0
Accepted
time: 34ms
memory: 19516kb

input:

186460 646474

output:

32638530

result:

ok 1 number(s): "32638530"

Test #26:

score: 0
Accepted
time: 56ms
memory: 19496kb

input:

508940 244684

output:

598321755

result:

ok 1 number(s): "598321755"

Test #27:

score: 0
Accepted
time: 70ms
memory: 19576kb

input:

583646 557758

output:

858695621

result:

ok 1 number(s): "858695621"

Test #28:

score: 0
Accepted
time: 115ms
memory: 19472kb

input:

969610 992608

output:

256683498

result:

ok 1 number(s): "256683498"

Test #29:

score: 0
Accepted
time: 134ms
memory: 19540kb

input:

995106 996434

output:

411791999

result:

ok 1 number(s): "411791999"

Test #30:

score: 0
Accepted
time: 126ms
memory: 19532kb

input:

999961 999872

output:

61222370

result:

ok 1 number(s): "61222370"

Test #31:

score: 0
Accepted
time: 130ms
memory: 19504kb

input:

999977 999908

output:

831096762

result:

ok 1 number(s): "831096762"

Test #32:

score: 0
Accepted
time: 135ms
memory: 19576kb

input:

999992 999998

output:

562977678

result:

ok 1 number(s): "562977678"

Test #33:

score: 0
Accepted
time: 17ms
memory: 19584kb

input:

1000000 2

output:

118436113

result:

ok 1 number(s): "118436113"

Test #34:

score: 0
Accepted
time: 12ms
memory: 19504kb

input:

2 1000000

output:

298823641

result:

ok 1 number(s): "298823641"