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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#154402#6417. Classical Summation ProblemPhantomThreshold#AC ✓133ms19348kbC++20924b2023-08-31 17:32:402023-08-31 17:32:41

Judging History

你现在查看的是最新测评结果

  • [2023-08-31 17:32:41]
  • 评测
  • 测评结果:AC
  • 用时:133ms
  • 内存:19348kb
  • [2023-08-31 17:32:40]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
const ll mod=998244353;
const ll inv2=(mod+1)/2;
ll ksm(ll a,ll x){
	ll ret=1;
	for (;x;x>>=1,a=a*a % mod) if (x&1) ret=ret*a%mod;
	return ret;
}
ll inv(ll a){return ksm(a,mod-2);}

const int maxn=1000000;
ll fac[maxn+50];
ll ifac[maxn+50];
void prepare(){
	fac[0]=1;
	for (int i=1;i<=maxn;i++) fac[i]=fac[i-1]*i%mod;
	ifac[maxn]=inv(fac[maxn]);
	for (int i=maxn-1;i>=0;i--) ifac[i]=ifac[i+1]*(i+1)%mod;	
}
ll C(ll n,ll m){
	if (m<0 || m>n) return 0;
	return fac[n]*ifac[m]%mod*ifac[n-m]%mod;	
}

ll n,k;

int main(){
	ios_base::sync_with_stdio(false);
	prepare();
	cin >> n >> k;
	ll ans=(n+1)*ksm(n,k)%mod*inv2%mod;
	if (k%2==0){
		ll sum=0;
		for (int i=1;i<n;i++){
			sum=(sum+ksm(i,k/2)*ksm(n-i,k/2)%mod*C(k,k/2))%mod;
		}
		sum=sum*inv2%mod;
		ans=(ans+mod-sum)%mod;
	}
	cout << ans << "\n";
	return 0;	
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 8ms
memory: 19228kb

input:

3 2

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 12ms
memory: 19232kb

input:

5 3

output:

375

result:

ok 1 number(s): "375"

Test #3:

score: 0
Accepted
time: 6ms
memory: 19260kb

input:

2 2

output:

5

result:

ok 1 number(s): "5"

Test #4:

score: 0
Accepted
time: 11ms
memory: 19296kb

input:

10 9

output:

508778235

result:

ok 1 number(s): "508778235"

Test #5:

score: 0
Accepted
time: 11ms
memory: 19276kb

input:

69 3

output:

11497815

result:

ok 1 number(s): "11497815"

Test #6:

score: 0
Accepted
time: 11ms
memory: 19280kb

input:

994 515

output:

33689623

result:

ok 1 number(s): "33689623"

Test #7:

score: 0
Accepted
time: 6ms
memory: 19224kb

input:

4476 6182

output:

114894183

result:

ok 1 number(s): "114894183"

Test #8:

score: 0
Accepted
time: 5ms
memory: 19200kb

input:

58957 12755

output:

932388891

result:

ok 1 number(s): "932388891"

Test #9:

score: 0
Accepted
time: 29ms
memory: 19348kb

input:

218138 28238

output:

392861201

result:

ok 1 number(s): "392861201"

Test #10:

score: 0
Accepted
time: 78ms
memory: 19276kb

input:

644125 316810

output:

420621854

result:

ok 1 number(s): "420621854"

Test #11:

score: 0
Accepted
time: 76ms
memory: 19224kb

input:

612914 505428

output:

973686286

result:

ok 1 number(s): "973686286"

Test #12:

score: 0
Accepted
time: 9ms
memory: 19296kb

input:

998216 938963

output:

251335926

result:

ok 1 number(s): "251335926"

Test #13:

score: 0
Accepted
time: 11ms
memory: 19280kb

input:

990516 996933

output:

549551960

result:

ok 1 number(s): "549551960"

Test #14:

score: 0
Accepted
time: 124ms
memory: 19208kb

input:

999019 999012

output:

637189128

result:

ok 1 number(s): "637189128"

Test #15:

score: 0
Accepted
time: 130ms
memory: 19220kb

input:

999928 999950

output:

185229465

result:

ok 1 number(s): "185229465"

Test #16:

score: 0
Accepted
time: 9ms
memory: 19292kb

input:

999999 999999

output:

384164916

result:

ok 1 number(s): "384164916"

Test #17:

score: 0
Accepted
time: 115ms
memory: 19224kb

input:

999999 1000000

output:

696165930

result:

ok 1 number(s): "696165930"

Test #18:

score: 0
Accepted
time: 5ms
memory: 19348kb

input:

1000000 999999

output:

219071706

result:

ok 1 number(s): "219071706"

Test #19:

score: 0
Accepted
time: 115ms
memory: 19276kb

input:

1000000 1000000

output:

128206597

result:

ok 1 number(s): "128206597"

Test #20:

score: 0
Accepted
time: 7ms
memory: 19284kb

input:

2 10

output:

1410

result:

ok 1 number(s): "1410"

Test #21:

score: 0
Accepted
time: 3ms
memory: 19220kb

input:

84 16

output:

297627153

result:

ok 1 number(s): "297627153"

Test #22:

score: 0
Accepted
time: 11ms
memory: 19336kb

input:

643 800

output:

489237163

result:

ok 1 number(s): "489237163"

Test #23:

score: 0
Accepted
time: 6ms
memory: 19268kb

input:

9903 880

output:

595167333

result:

ok 1 number(s): "595167333"

Test #24:

score: 0
Accepted
time: 20ms
memory: 19276kb

input:

97446 89750

output:

410205549

result:

ok 1 number(s): "410205549"

Test #25:

score: 0
Accepted
time: 25ms
memory: 19272kb

input:

186460 646474

output:

32638530

result:

ok 1 number(s): "32638530"

Test #26:

score: 0
Accepted
time: 59ms
memory: 19224kb

input:

508940 244684

output:

598321755

result:

ok 1 number(s): "598321755"

Test #27:

score: 0
Accepted
time: 65ms
memory: 19212kb

input:

583646 557758

output:

858695621

result:

ok 1 number(s): "858695621"

Test #28:

score: 0
Accepted
time: 112ms
memory: 19268kb

input:

969610 992608

output:

256683498

result:

ok 1 number(s): "256683498"

Test #29:

score: 0
Accepted
time: 126ms
memory: 19216kb

input:

995106 996434

output:

411791999

result:

ok 1 number(s): "411791999"

Test #30:

score: 0
Accepted
time: 124ms
memory: 19276kb

input:

999961 999872

output:

61222370

result:

ok 1 number(s): "61222370"

Test #31:

score: 0
Accepted
time: 117ms
memory: 19292kb

input:

999977 999908

output:

831096762

result:

ok 1 number(s): "831096762"

Test #32:

score: 0
Accepted
time: 133ms
memory: 19340kb

input:

999992 999998

output:

562977678

result:

ok 1 number(s): "562977678"

Test #33:

score: 0
Accepted
time: 18ms
memory: 19280kb

input:

1000000 2

output:

118436113

result:

ok 1 number(s): "118436113"

Test #34:

score: 0
Accepted
time: 12ms
memory: 19288kb

input:

2 1000000

output:

298823641

result:

ok 1 number(s): "298823641"