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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
#417665#6678. Gem Island 2IDontKnowGoodNamesAC ✓1022ms846420kbC++171.2kb2024-05-22 20:34:572024-05-22 20:34:59

Judging History

你现在查看的是最新测评结果

  • [2024-05-22 20:34:59]
  • 评测
  • 测评结果:AC
  • 用时:1022ms
  • 内存:846420kb
  • [2024-05-22 20:34:57]
  • 提交

answer

#pragma GCC optimize("Ofast,unroll-loops,inline")
#include<bits/stdc++.h>
using namespace std;
const int NR=1.5e7+10;
#define int long long
const int MOD=998244353;
int n,d,r,fac[NR*2],inv[NR*2],ifac[NR*2],f[NR],prime[NR],tot;
bool vis[NR];
void add(int &x,int y){x=(x+y)%MOD;}

void init(){
	for(int i=2;i<NR;i++){
		if(!vis[i])prime[++tot]=i;
		for(int j=1;j<=tot&&i*prime[j]<NR;j++){
			vis[i*prime[j]]=1;
			if(i%prime[j]==0)break;
		}
	}
}

int C(int x,int y){return fac[x]*ifac[y]%MOD*ifac[x-y]%MOD;}
signed main(){
//	freopen("count.in","r",stdin);
//	freopen("count.out","w",stdout);
	cin>>n>>d>>r;init();
	inv[1]=1;
	for(int i=2;i<=n+d;i++)inv[i]=(MOD-inv[MOD%i])*(MOD/i)%MOD;
	fac[0]=ifac[0]=1;
	for(int i=1;i<=n+d;i++)
		fac[i]=fac[i-1]*i%MOD,ifac[i]=ifac[i-1]*inv[i]%MOD;
	int ans=0;
	for(int i=1;i<=d;i++)f[i]=C(d-i+n-1,n-1);
	for(int i=1;i<=tot;i++)
		for(int j=d/prime[i];j>=1;j--)f[j]=(f[j]+f[j*prime[i]])%MOD;
	for(int i=1;i<=n;i++)
		if(i<=r)add(ans,C(n,i)*f[i]%MOD*(i==1));
		else {
			if((i-r)&1)add(ans,-C(n,i)*f[i]%MOD*C(i-2,r-1));
			else add(ans,C(n,i)*f[i]%MOD*C(i-2,r-1));
		}
//	printf("%lld\n",(ans+MOD)%MOD);
	printf("%lld\n",((ans%MOD+MOD)*ifac[n+d-1]%MOD*fac[n-1]%MOD*fac[d]%MOD+r)%MOD);
	return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 67ms
memory: 26000kb

input:

2 3 1

output:

499122180

result:

ok 1 number(s): "499122180"

Test #2:

score: 0
Accepted
time: 64ms
memory: 26032kb

input:

3 3 2

output:

698771052

result:

ok 1 number(s): "698771052"

Test #3:

score: 0
Accepted
time: 69ms
memory: 26000kb

input:

5 10 3

output:

176512750

result:

ok 1 number(s): "176512750"

Test #4:

score: 0
Accepted
time: 68ms
memory: 26032kb

input:

5 4 3

output:

71303175

result:

ok 1 number(s): "71303175"

Test #5:

score: 0
Accepted
time: 69ms
memory: 25972kb

input:

37 47 12

output:

962577218

result:

ok 1 number(s): "962577218"

Test #6:

score: 0
Accepted
time: 68ms
memory: 25956kb

input:

29 50 26

output:

175627840

result:

ok 1 number(s): "175627840"

Test #7:

score: 0
Accepted
time: 65ms
memory: 26020kb

input:

298 498 221

output:

765832019

result:

ok 1 number(s): "765832019"

Test #8:

score: 0
Accepted
time: 60ms
memory: 25952kb

input:

497 456 243

output:

414028615

result:

ok 1 number(s): "414028615"

Test #9:

score: 0
Accepted
time: 67ms
memory: 28752kb

input:

114514 1926 817

output:

691374994

result:

ok 1 number(s): "691374994"

Test #10:

score: 0
Accepted
time: 109ms
memory: 71048kb

input:

1919810 1554 1999

output:

3553

result:

ok 1 number(s): "3553"

Test #11:

score: 0
Accepted
time: 87ms
memory: 71332kb

input:

1926817 1514 1001

output:

685086550

result:

ok 1 number(s): "685086550"

Test #12:

score: 0
Accepted
time: 98ms
memory: 59668kb

input:

1432132 1425 1425

output:

2850

result:

ok 1 number(s): "2850"

Test #13:

score: 0
Accepted
time: 1002ms
memory: 846252kb

input:

14999999 15000000 14999999

output:

29999999

result:

ok 1 number(s): "29999999"

Test #14:

score: 0
Accepted
time: 66ms
memory: 31328kb

input:

98765 99654 85647

output:

815183913

result:

ok 1 number(s): "815183913"

Test #15:

score: 0
Accepted
time: 67ms
memory: 31412kb

input:

99999 100000 99998

output:

832290200

result:

ok 1 number(s): "832290200"

Test #16:

score: 0
Accepted
time: 67ms
memory: 29192kb

input:

1541 99998 725

output:

463021366

result:

ok 1 number(s): "463021366"

Test #17:

score: 0
Accepted
time: 116ms
memory: 80268kb

input:

985438 998756 101254

output:

671487608

result:

ok 1 number(s): "671487608"

Test #18:

score: 0
Accepted
time: 105ms
memory: 80576kb

input:

998654 999856 2

output:

92085960

result:

ok 1 number(s): "92085960"

Test #19:

score: 0
Accepted
time: 72ms
memory: 58384kb

input:

45876 1000000 13

output:

208089291

result:

ok 1 number(s): "208089291"

Test #20:

score: 0
Accepted
time: 1022ms
memory: 846420kb

input:

15000000 14999999 514

output:

143843956

result:

ok 1 number(s): "143843956"

Test #21:

score: 0
Accepted
time: 1018ms
memory: 845992kb

input:

14985345 14999998 145124

output:

785676527

result:

ok 1 number(s): "785676527"

Test #22:

score: 0
Accepted
time: 1012ms
memory: 842684kb

input:

14855345 14993298 1451424

output:

779861797

result:

ok 1 number(s): "779861797"

Test #23:

score: 0
Accepted
time: 68ms
memory: 26028kb

input:

1 1 1

output:

2

result:

ok 1 number(s): "2"

Test #24:

score: 0
Accepted
time: 948ms
memory: 846328kb

input:

15000000 15000000 15000000

output:

30000000

result:

ok 1 number(s): "30000000"

Extra Test:

score: 0
Extra Test Passed