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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#108022#6417. Classical Summation Problemwhatever#AC ✓168ms9356kbC++171.0kb2023-05-23 14:26:112023-05-23 14:26:15

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-05-23 14:26:15]
  • 评测
  • 测评结果:AC
  • 用时:168ms
  • 内存:9356kb
  • [2023-05-23 14:26:11]
  • 提交

answer

#include <cstdio>
#include <algorithm>
const int N=1000005, MOD=998244353, iv2=MOD/2+1;
inline int mval(int x) { return x>=MOD?x-MOD:x; }
inline int fix(int x) { return mval(x+MOD); }
inline void inc(int &x, int a) { x=mval(x+a); }
inline void dec(int &x, int a) { x=fix(x-a); }
inline int qpow(int x, int p)
{ int ret=1; while(p) { if(p&1) ret=1ll*ret*x%MOD; p>>=1, x=1ll*x*x%MOD; } return ret; }

int fac[N], inv[N];
inline void init(int n)
{
	fac[0]=1;
	for(int i=1; i<=n; ++i) fac[i]=1ll*i*fac[i-1]%MOD;
	inv[n]=qpow(fac[n], MOD-2);
	for(int i=n-1; ~i; --i) inv[i]=1ll*(i+1)*inv[i+1]%MOD;
}
inline int C(int n, int m) { return 1ll*fac[n]*inv[m]%MOD*inv[n-m]%MOD; }

int n, k, ans;
int main()
{
	scanf("%d%d", &n, &k);
	ans=1ll*qpow(n, k)*(n+1)%MOD;
	if(k&1) return printf("%d\n", 1ll*ans*iv2%MOD), 0;
	init(k);
	int mul=C(k, k/2);
	for(int i=1; i<n; ++i)
	{
		dec(ans, 1ll*qpow(i, k/2)*qpow(n-i, k/2)%MOD*mul%MOD);
	}
	// printf("ans %d\n", ans);
	printf("%d\n", 1ll*ans*iv2%MOD);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 1760kb

input:

3 2

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 1ms
memory: 1540kb

input:

5 3

output:

375

result:

ok 1 number(s): "375"

Test #3:

score: 0
Accepted
time: 0ms
memory: 1700kb

input:

2 2

output:

5

result:

ok 1 number(s): "5"

Test #4:

score: 0
Accepted
time: 1ms
memory: 1544kb

input:

10 9

output:

508778235

result:

ok 1 number(s): "508778235"

Test #5:

score: 0
Accepted
time: 1ms
memory: 1536kb

input:

69 3

output:

11497815

result:

ok 1 number(s): "11497815"

Test #6:

score: 0
Accepted
time: 1ms
memory: 1512kb

input:

994 515

output:

33689623

result:

ok 1 number(s): "33689623"

Test #7:

score: 0
Accepted
time: 0ms
memory: 1748kb

input:

4476 6182

output:

114894183

result:

ok 1 number(s): "114894183"

Test #8:

score: 0
Accepted
time: 1ms
memory: 1704kb

input:

58957 12755

output:

932388891

result:

ok 1 number(s): "932388891"

Test #9:

score: 0
Accepted
time: 22ms
memory: 1712kb

input:

218138 28238

output:

392861201

result:

ok 1 number(s): "392861201"

Test #10:

score: 0
Accepted
time: 89ms
memory: 3996kb

input:

644125 316810

output:

420621854

result:

ok 1 number(s): "420621854"

Test #11:

score: 0
Accepted
time: 99ms
memory: 5452kb

input:

612914 505428

output:

973686286

result:

ok 1 number(s): "973686286"

Test #12:

score: 0
Accepted
time: 0ms
memory: 1492kb

input:

998216 938963

output:

251335926

result:

ok 1 number(s): "251335926"

Test #13:

score: 0
Accepted
time: 1ms
memory: 1756kb

input:

990516 996933

output:

549551960

result:

ok 1 number(s): "549551960"

Test #14:

score: 0
Accepted
time: 157ms
memory: 9356kb

input:

999019 999012

output:

637189128

result:

ok 1 number(s): "637189128"

Test #15:

score: 0
Accepted
time: 160ms
memory: 9304kb

input:

999928 999950

output:

185229465

result:

ok 1 number(s): "185229465"

Test #16:

score: 0
Accepted
time: 1ms
memory: 1696kb

input:

999999 999999

output:

384164916

result:

ok 1 number(s): "384164916"

Test #17:

score: 0
Accepted
time: 165ms
memory: 9296kb

input:

999999 1000000

output:

696165930

result:

ok 1 number(s): "696165930"

Test #18:

score: 0
Accepted
time: 1ms
memory: 1748kb

input:

1000000 999999

output:

219071706

result:

ok 1 number(s): "219071706"

Test #19:

score: 0
Accepted
time: 162ms
memory: 9312kb

input:

1000000 1000000

output:

128206597

result:

ok 1 number(s): "128206597"

Test #20:

score: 0
Accepted
time: 0ms
memory: 1756kb

input:

2 10

output:

1410

result:

ok 1 number(s): "1410"

Test #21:

score: 0
Accepted
time: 1ms
memory: 1532kb

input:

84 16

output:

297627153

result:

ok 1 number(s): "297627153"

Test #22:

score: 0
Accepted
time: 1ms
memory: 1504kb

input:

643 800

output:

489237163

result:

ok 1 number(s): "489237163"

Test #23:

score: 0
Accepted
time: 2ms
memory: 1540kb

input:

9903 880

output:

595167333

result:

ok 1 number(s): "595167333"

Test #24:

score: 0
Accepted
time: 11ms
memory: 2244kb

input:

97446 89750

output:

410205549

result:

ok 1 number(s): "410205549"

Test #25:

score: 0
Accepted
time: 32ms
memory: 6548kb

input:

186460 646474

output:

32638530

result:

ok 1 number(s): "32638530"

Test #26:

score: 0
Accepted
time: 74ms
memory: 3468kb

input:

508940 244684

output:

598321755

result:

ok 1 number(s): "598321755"

Test #27:

score: 0
Accepted
time: 86ms
memory: 5876kb

input:

583646 557758

output:

858695621

result:

ok 1 number(s): "858695621"

Test #28:

score: 0
Accepted
time: 160ms
memory: 9252kb

input:

969610 992608

output:

256683498

result:

ok 1 number(s): "256683498"

Test #29:

score: 0
Accepted
time: 166ms
memory: 9292kb

input:

995106 996434

output:

411791999

result:

ok 1 number(s): "411791999"

Test #30:

score: 0
Accepted
time: 155ms
memory: 9272kb

input:

999961 999872

output:

61222370

result:

ok 1 number(s): "61222370"

Test #31:

score: 0
Accepted
time: 168ms
memory: 9300kb

input:

999977 999908

output:

831096762

result:

ok 1 number(s): "831096762"

Test #32:

score: 0
Accepted
time: 168ms
memory: 9316kb

input:

999992 999998

output:

562977678

result:

ok 1 number(s): "562977678"

Test #33:

score: 0
Accepted
time: 9ms
memory: 1732kb

input:

1000000 2

output:

118436113

result:

ok 1 number(s): "118436113"

Test #34:

score: 0
Accepted
time: 10ms
memory: 9308kb

input:

2 1000000

output:

298823641

result:

ok 1 number(s): "298823641"