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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#472369#6417. Classical Summation ProblemUESTC_xxx#AC ✓239ms11772kbC++14863b2024-07-11 15:55:562024-07-11 15:56:00

Judging History

你现在查看的是最新测评结果

  • [2024-07-11 15:56:00]
  • 评测
  • 测评结果：AC
  • 用时：239ms
  • 内存：11772kb
查看
  • [2024-07-11 15:55:56]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
const LL maxn = 1e9+10,N=1e6+120,mod=1e9 + 7,cmod=998244353,INF=1e16;
LL n,m,k,root;
LL c[N];
LL qk(LL x,LL k)
{
	LL re=1;
	x=x%cmod;
	while(k)
	{
		if(k&1) re=(re*x)%cmod;
		x=(x*x)%cmod;
		k>>=1;
	}
	return re;
}
LL C(LL n,LL m)
{
	return qk(c[m]*c[n-m]%cmod,cmod-2)*c[n]%cmod;
}
int main()
{
	//printf("%lld",dengbi(1,3,3));
	c[0]=1;
	for(LL i=1;i<N;i++) c[i]=(c[i-1]*i)%cmod;
	scanf("%lld%lld",&n,&k);
	LL ans=qk(n,k+1)-((n-1)*qk(2,cmod-2)%cmod)*qk(n,k);
	ans%=cmod;
	ans+=cmod;
	ans%=cmod;
	if(k%2==0)
	{
		LL mid=0;
		for(int x=1;x<n;x++)
		{
			mid+=(C(k,k/2)*qk(x,k/2)%cmod)*qk(n-x,k/2)%cmod;
			mid%=cmod;
		}
		mid*=qk(2,cmod-2);
		mid%=cmod;
		ans-=mid;
		ans%=cmod;
		ans+=cmod;
		ans%=cmod;
		
	}
	printf("%lld\n",ans);
	return 0;
}
源文件, 语言: C++14

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 11764kb

input:

3 2

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 6ms
memory: 11712kb

input:

5 3

output:

375

result:

ok 1 number(s): "375"

Test #3:

score: 0
Accepted
time: 5ms
memory: 11760kb

input:

2 2

output:

5

result:

ok 1 number(s): "5"

Test #4:

score: 0
Accepted
time: 5ms
memory: 11632kb

input:

10 9

output:

508778235

result:

ok 1 number(s): "508778235"

Test #5:

score: 0
Accepted
time: 5ms
memory: 11724kb

input:

69 3

output:

11497815

result:

ok 1 number(s): "11497815"

Test #6:

score: 0
Accepted
time: 5ms
memory: 11756kb

input:

994 515

output:

33689623

result:

ok 1 number(s): "33689623"

Test #7:

score: 0
Accepted
time: 3ms
memory: 11720kb

input:

4476 6182

output:

114894183

result:

ok 1 number(s): "114894183"

Test #8:

score: 0
Accepted
time: 6ms
memory: 11720kb

input:

58957 12755

output:

932388891

result:

ok 1 number(s): "932388891"

Test #9:

score: 0
Accepted
time: 48ms
memory: 11636kb

input:

218138 28238

output:

392861201

result:

ok 1 number(s): "392861201"

Test #10:

score: 0
Accepted
time: 145ms
memory: 11720kb

input:

644125 316810

output:

420621854

result:

ok 1 number(s): "420621854"

Test #11:

score: 0
Accepted
time: 144ms
memory: 11696kb

input:

612914 505428

output:

973686286

result:

ok 1 number(s): "973686286"

Test #12:

score: 0
Accepted
time: 6ms
memory: 11696kb

input:

998216 938963

output:

251335926

result:

ok 1 number(s): "251335926"

Test #13:

score: 0
Accepted
time: 6ms
memory: 11772kb

input:

990516 996933

output:

549551960

result:

ok 1 number(s): "549551960"

Test #14:

score: 0
Accepted
time: 235ms
memory: 11716kb

input:

999019 999012

output:

637189128

result:

ok 1 number(s): "637189128"

Test #15:

score: 0
Accepted
time: 238ms
memory: 11720kb

input:

999928 999950

output:

185229465

result:

ok 1 number(s): "185229465"

Test #16:

score: 0
Accepted
time: 6ms
memory: 11724kb

input:

999999 999999

output:

384164916

result:

ok 1 number(s): "384164916"

Test #17:

score: 0
Accepted
time: 232ms
memory: 11708kb

input:

999999 1000000

output:

696165930

result:

ok 1 number(s): "696165930"

Test #18:

score: 0
Accepted
time: 0ms
memory: 11696kb

input:

1000000 999999

output:

219071706

result:

ok 1 number(s): "219071706"

Test #19:

score: 0
Accepted
time: 232ms
memory: 11724kb

input:

1000000 1000000

output:

128206597

result:

ok 1 number(s): "128206597"

Test #20:

score: 0
Accepted
time: 6ms
memory: 11664kb

input:

2 10

output:

1410

result:

ok 1 number(s): "1410"

Test #21:

score: 0
Accepted
time: 6ms
memory: 11580kb

input:

84 16

output:

297627153

result:

ok 1 number(s): "297627153"

Test #22:

score: 0
Accepted
time: 0ms
memory: 11580kb

input:

643 800

output:

489237163

result:

ok 1 number(s): "489237163"

Test #23:

score: 0
Accepted
time: 3ms
memory: 11768kb

input:

9903 880

output:

595167333

result:

ok 1 number(s): "595167333"

Test #24:

score: 0
Accepted
time: 26ms
memory: 11704kb

input:

97446 89750

output:

410205549

result:

ok 1 number(s): "410205549"

Test #25:

score: 0
Accepted
time: 48ms
memory: 11732kb

input:

186460 646474

output:

32638530

result:

ok 1 number(s): "32638530"

Test #26:

score: 0
Accepted
time: 117ms
memory: 11664kb

input:

508940 244684

output:

598321755

result:

ok 1 number(s): "598321755"

Test #27:

score: 0
Accepted
time: 127ms
memory: 11564kb

input:

583646 557758

output:

858695621

result:

ok 1 number(s): "858695621"

Test #28:

score: 0
Accepted
time: 219ms
memory: 11720kb

input:

969610 992608

output:

256683498

result:

ok 1 number(s): "256683498"

Test #29:

score: 0
Accepted
time: 232ms
memory: 11580kb

input:

995106 996434

output:

411791999

result:

ok 1 number(s): "411791999"

Test #30:

score: 0
Accepted
time: 225ms
memory: 11640kb

input:

999961 999872

output:

61222370

result:

ok 1 number(s): "61222370"

Test #31:

score: 0
Accepted
time: 235ms
memory: 11768kb

input:

999977 999908

output:

831096762

result:

ok 1 number(s): "831096762"

Test #32:

score: 0
Accepted
time: 239ms
memory: 11760kb

input:

999992 999998

output:

562977678

result:

ok 1 number(s): "562977678"

Test #33:

score: 0
Accepted
time: 120ms
memory: 11580kb

input:

1000000 2

output:

118436113

result:

ok 1 number(s): "118436113"

Test #34:

score: 0
Accepted
time: 3ms
memory: 11728kb

input:

2 1000000

output:

298823641

result:

ok 1 number(s): "298823641"
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