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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#707333#8339. Rooted Treebessie_goes_moo#AC ✓1113ms3720kbC++17631b2024-11-03 15:32:422024-11-03 15:32:43

Judging History

你现在查看的是最新测评结果

  • [2024-11-03 15:32:43]
  • 评测
  • 测评结果:AC
  • 用时:1113ms
  • 内存:3720kb
  • [2024-11-03 15:32:42]
  • 提交

answer

/*

1+i*(M-1)

f[i]=f[i-1]+(g[i-1]+1)*M

g[i]=(g[i-1]*(i-1)*(M-1)+(g[i-1]+1)*M)/(1+i*(M-1))

    =g[i-1] + M/(1+i*(M-1))
*/

#include<bits/stdc++.h>
using namespace std;
typedef long long LL;
const int TT=1e9+9;
LL M,K;
LL f[2],g[2];
LL QSM(LL x,LL y){
    LL s=1;
    while(y){
        if(y&1) s=s*x%TT;
        x=x*x%TT,y>>=1;
    }
    return s;
}
int main(){
    cin>>M>>K;
    f[0]=0,g[0]=0;
    for(int i=1;i<=K;i++){
        int now=i&1,lst=now^1;
        f[now]=(f[lst]+M*(g[lst]+1)%TT)%TT;
        g[now]=(g[lst]+M*QSM((1+(M-1)*i)%TT,TT-2)%TT)%TT;
    }
    cout<<f[K&1];
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3664kb

input:

6 2

output:

18

result:

ok 1 number(s): "18"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

2 6

output:

600000038

result:

ok 1 number(s): "600000038"

Test #3:

score: 0
Accepted
time: 69ms
memory: 3648kb

input:

83 613210

output:

424200026

result:

ok 1 number(s): "424200026"

Test #4:

score: 0
Accepted
time: 747ms
memory: 3720kb

input:

48 6713156

output:

198541581

result:

ok 1 number(s): "198541581"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

1 111

output:

6216

result:

ok 1 number(s): "6216"

Test #6:

score: 0
Accepted
time: 813ms
memory: 3672kb

input:

28 7304152

output:

457266679

result:

ok 1 number(s): "457266679"

Test #7:

score: 0
Accepted
time: 456ms
memory: 3528kb

input:

38 4101162

output:

232117382

result:

ok 1 number(s): "232117382"

Test #8:

score: 0
Accepted
time: 1103ms
memory: 3668kb

input:

51 9921154

output:

340670552

result:

ok 1 number(s): "340670552"

Test #9:

score: 0
Accepted
time: 201ms
memory: 3576kb

input:

79 1801157

output:

620550406

result:

ok 1 number(s): "620550406"

Test #10:

score: 0
Accepted
time: 603ms
memory: 3708kb

input:

22 5417157

output:

457449071

result:

ok 1 number(s): "457449071"

Test #11:

score: 0
Accepted
time: 357ms
memory: 3528kb

input:

25 3210162

output:

36368303

result:

ok 1 number(s): "36368303"

Test #12:

score: 0
Accepted
time: 325ms
memory: 3580kb

input:

67 2919160

output:

935195555

result:

ok 1 number(s): "935195555"

Test #13:

score: 0
Accepted
time: 958ms
memory: 3660kb

input:

77 8613163

output:

482832472

result:

ok 1 number(s): "482832472"

Test #14:

score: 0
Accepted
time: 1113ms
memory: 3652kb

input:

90 10000000

output:

275581651

result:

ok 1 number(s): "275581651"

Test #15:

score: 0
Accepted
time: 1113ms
memory: 3532kb

input:

99 9999999

output:

126087169

result:

ok 1 number(s): "126087169"

Test #16:

score: 0
Accepted
time: 1108ms
memory: 3596kb

input:

100 10000000

output:

451590067

result:

ok 1 number(s): "451590067"

Extra Test:

score: 0
Extra Test Passed