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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#56420#1426. ExptricyzhkxWA 3ms3860kbC++14812b2022-10-19 13:05:252022-10-19 13:05:26

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.
  • [2022-10-19 13:05:26]
  • 评测
  • 测评结果:WA
  • 用时:3ms
  • 内存:3860kb
  • [2022-10-19 13:05:25]
  • 提交

answer

# include <bits/stdc++.h>
using namespace std;
const int mod=998244353,_10000=796898467;
typedef long long ll;
ll inv[10000010];
int g[110],f[10000010];
ll power(ll a,int b)
{
	ll ans=1;
	for(;b;b>>=1,a=a*a%mod)
		if(b&1) ans=ans*a%mod;
	return ans;
}
int main()
{
	int n,K,m,ans=0;
	double p;
	cin>>n>>K>>m;
	inv[0]=inv[1]=1;
	for(int i=2;i<=m;i++) inv[i]=(mod-mod/i)*inv[mod%i]%mod;
	for(int i=0;i<=K;i++) scanf("%lf",&p),g[i]=(ll)(p*10000)*_10000%mod;
	f[0]=power(g[0],n);f[m]=1-f[0]+mod;
	int iv=power(g[0],mod-2);
	for(int i=1;i<m;i++)
	{
		for(int j=1;j<=min(i,K);j++) f[i]=(f[i]+g[j]*((ll)(n+1)*j%mod-i+mod)%mod*f[i-j])%mod;
		f[i]=f[i]*inv[i]%mod*iv%mod;
		ans=(ans+(ll)f[i]*i)%mod;
		f[m]=(f[m]-f[i]+mod)%mod;
	}
	ans=(ans+(ll)f[m]*m)%mod;
	cout<<ans<<endl;
	return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 2ms
memory: 3692kb

input:

2 1 2
0.5000 0.5000

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3736kb

input:

2 1 1
0.5000 0.5000

output:

249561089

result:

ok 1 number(s): "249561089"

Test #3:

score: 0
Accepted
time: 2ms
memory: 3812kb

input:

4 2 5
0.2000 0.5000 0.3000

output:

909700083

result:

ok 1 number(s): "909700083"

Test #4:

score: 0
Accepted
time: 2ms
memory: 3860kb

input:

10 4 23
0.4533 0.2906 0.1618 0.0071 0.0872

output:

433575862

result:

ok 1 number(s): "433575862"

Test #5:

score: 0
Accepted
time: 2ms
memory: 3696kb

input:

1 1 1
0.0765 0.9235

output:

299972429

result:

ok 1 number(s): "299972429"

Test #6:

score: 0
Accepted
time: 2ms
memory: 3688kb

input:

1 100 1
0.0072 0.0153 0.0002 0.0067 0.0035 0.0030 0.0013 0.0025 0.0090 0.0100 0.0173 0.0018 0.0072 0.0037 0.0078 0.0060 0.0083 0.0054 0.0069 0.0002 0.0143 0.0132 0.0101 0.0027 0.0167 0.0065 0.0051 0.0001 0.0175 0.0079 0.0107 0.0018 0.0017 0.0031 0.0130 0.0108 0.0050 0.0045 0.0322 0.0040 0.0043 0.009...

output:

521482851

result:

ok 1 number(s): "521482851"

Test #7:

score: -100
Wrong Answer
time: 3ms
memory: 3740kb

input:

1 100 100
0.0048 0.0100 0.0025 0.0254 0.0183 0.0014 0.0188 0.0019 0.0197 0.0171 0.0127 0.0052 0.0038 0.0052 0.0014 0.0016 0.0133 0.0341 0.0014 0.0234 0.0073 0.0001 0.0088 0.0304 0.0032 0.0008 0.0046 0.0236 0.0039 0.0359 0.0023 0.0096 0.0392 0.0169 0.0018 0.0184 0.0051 0.0050 0.0190 0.0053 0.0034 0.0...

output:

417765311

result:

wrong answer 1st numbers differ - expected: '276513735', found: '417765311'