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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
#638763#8339. Rooted TreeainuoAC ✓1118ms159932kbC++14755b2024-10-13 16:51:232024-10-13 16:51:23

Judging History

你现在查看的是最新测评结果

  • [2024-10-13 16:51:23]
  • 评测
  • 测评结果:AC
  • 用时:1118ms
  • 内存:159932kb
  • [2024-10-13 16:51:23]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N=1e7+10;
const int mod=1e9+9;
ll num[N],dp[N];

ll qpow(ll n,ll m)
{
	ll ans=1;
	while(m)
    {
		if(m&1) ans=ans*n%mod;
		m>>=1;
		n=n*n%mod;
	}
	return ans;
}

ll getInv(ll a)
{
	return qpow(a,mod-2);
}

int main()
{
    int m,k;
    ll ans=0;
    cin>>m>>k;
    num[0]=1;
    for(int i=1;i<=k;i++) num[i]=num[i-1]+m-1;

    dp[0]=0;
    for(int i=1;i<=k;i++)
    {
        dp[i]=((((dp[i-1]*num[i-1])%mod+((dp[i-1]+1)*(m-1))%mod+1)%mod)*getInv(num[i]))%mod;
        ans=(ans+dp[i-1])%mod;
    }
    // cout<<num[1]<<'\n';
    // cout<<(dp[1]*num[1])%mod<<'\n';
    ans=(ans+((dp[k]*num[k])%mod))%mod;
    cout<<ans;
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 5600kb

input:

6 2

output:

18

result:

ok 1 number(s): "18"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5668kb

input:

2 6

output:

600000038

result:

ok 1 number(s): "600000038"

Test #3:

score: 0
Accepted
time: 71ms
memory: 18264kb

input:

83 613210

output:

424200026

result:

ok 1 number(s): "424200026"

Test #4:

score: 0
Accepted
time: 758ms
memory: 110268kb

input:

48 6713156

output:

198541581

result:

ok 1 number(s): "198541581"

Test #5:

score: 0
Accepted
time: 1ms
memory: 5604kb

input:

1 111

output:

6216

result:

ok 1 number(s): "6216"

Test #6:

score: 0
Accepted
time: 822ms
memory: 120604kb

input:

28 7304152

output:

457266679

result:

ok 1 number(s): "457266679"

Test #7:

score: 0
Accepted
time: 452ms
memory: 71704kb

input:

38 4101162

output:

232117382

result:

ok 1 number(s): "232117382"

Test #8:

score: 0
Accepted
time: 1105ms
memory: 159408kb

input:

51 9921154

output:

340670552

result:

ok 1 number(s): "340670552"

Test #9:

score: 0
Accepted
time: 193ms
memory: 32416kb

input:

79 1801157

output:

620550406

result:

ok 1 number(s): "620550406"

Test #10:

score: 0
Accepted
time: 601ms
memory: 92188kb

input:

22 5417157

output:

457449071

result:

ok 1 number(s): "457449071"

Test #11:

score: 0
Accepted
time: 346ms
memory: 57700kb

input:

25 3210162

output:

36368303

result:

ok 1 number(s): "36368303"

Test #12:

score: 0
Accepted
time: 325ms
memory: 51252kb

input:

67 2919160

output:

935195555

result:

ok 1 number(s): "935195555"

Test #13:

score: 0
Accepted
time: 957ms
memory: 141752kb

input:

77 8613163

output:

482832472

result:

ok 1 number(s): "482832472"

Test #14:

score: 0
Accepted
time: 1118ms
memory: 159884kb

input:

90 10000000

output:

275581651

result:

ok 1 number(s): "275581651"

Test #15:

score: 0
Accepted
time: 1110ms
memory: 159932kb

input:

99 9999999

output:

126087169

result:

ok 1 number(s): "126087169"

Test #16:

score: 0
Accepted
time: 1106ms
memory: 159752kb

input:

100 10000000

output:

451590067

result:

ok 1 number(s): "451590067"

Extra Test:

score: 0
Extra Test Passed