QOJ.ac

QOJ

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
#630105#8171. Colaucup-team3519#AC ✓226ms393984kbC++171.2kb2024-10-11 16:31:132024-10-11 16:31:13

Judging History

你现在查看的是最新测评结果

  • [2024-10-11 16:31:13]
  • 评测
  • 测评结果:AC
  • 用时:226ms
  • 内存:393984kb
  • [2024-10-11 16:31:13]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
using ll=long long;
const ll mod=998244353;
ll qpow(ll a,ll b){
    if(b==0)return 1;
    ll ans=1;
    if(b%2)ans=a;
    ll t=qpow(a,b/2);
    return t*t%mod*ans%mod;
}
vector<ll>fact,ifact;
ll inv(ll a){
    return qpow(a,mod-2);
}
void init(int n){
    fact.resize(n+1),ifact.resize(n+1);
    fact[0]=1;
    for(int i=1;i<=n;i++){
        fact[i]=fact[i-1]*i%mod;
    }
    ifact[n]=inv(fact[n]);
    for(int i=n-1;i>=0;i--){
        ifact[i]=ifact[i+1]*(i+1)%mod;
    }
}
ll C(ll x,ll y){
    return fact[x]*ifact[x-y]%mod*ifact[y]%mod;
}
void solve(){
    ll n,m;
    cin>>n>>m;
    m--;
    vector<ll>a(n+1);
    init(2*n+2);
    for(ll k=0;k*(3*k-1)/2<=n;k++){
        ll x=k*(3*k-1)/2;
        if(k%2==0)
        a[x]+=1;
        else a[x]-=1;
    }
    for(ll k=-1;(k*(3*k-1)/2)<=n;k--){
        ll x=k*(3*k-1)/2;
        if(k%2==0)
        a[x]+=1;
        else a[x]-=1;
    }
    ll ans=0;
    // for(int i=0;i<=n;i++)cout<<a[i]<<' ';
    for(int i=0;i<=m;i++){
        ans+=a[m-i]*C(n+1-1+i,i)%mod;
    }

    ans%=mod;
    ans+=mod;
    ans%=mod;
    ans*=ifact[n];
    ans%=mod;
    cout<<ans<<'\n';

}
int main(){
    solve();
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3604kb

input:

2 1

output:

499122177

result:

ok "499122177"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

1 1

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

167 91

output:

469117530

result:

ok "469117530"

Test #4:

score: 0
Accepted
time: 208ms
memory: 386204kb

input:

9806463 8975779

output:

125384417

result:

ok "125384417"

Test #5:

score: 0
Accepted
time: 202ms
memory: 360280kb

input:

9138576 8731432

output:

306972756

result:

ok "306972756"

Test #6:

score: 0
Accepted
time: 203ms
memory: 392932kb

input:

9978791 9033584

output:

932159263

result:

ok "932159263"

Test #7:

score: 0
Accepted
time: 206ms
memory: 386528kb

input:

9811954 9790000

output:

404679920

result:

ok "404679920"

Test #8:

score: 0
Accepted
time: 226ms
memory: 381508kb

input:

9685105 9276909

output:

32996715

result:

ok "32996715"

Test #9:

score: 0
Accepted
time: 210ms
memory: 393700kb

input:

10000000 10000000

output:

309225852

result:

ok "309225852"

Test #10:

score: 0
Accepted
time: 207ms
memory: 393728kb

input:

10000000 9999999

output:

635234302

result:

ok "635234302"

Test #11:

score: 0
Accepted
time: 211ms
memory: 393756kb

input:

10000000 9999998

output:

239117935

result:

ok "239117935"

Test #12:

score: 0
Accepted
time: 212ms
memory: 393972kb

input:

10000000 9999997

output:

294859983

result:

ok "294859983"

Test #13:

score: 0
Accepted
time: 194ms
memory: 393792kb

input:

9999999 9999999

output:

305530110

result:

ok "305530110"

Test #14:

score: 0
Accepted
time: 211ms
memory: 393716kb

input:

9999999 9999998

output:

164959553

result:

ok "164959553"

Test #15:

score: 0
Accepted
time: 214ms
memory: 393884kb

input:

9999999 9999997

output:

532215262

result:

ok "532215262"

Test #16:

score: 0
Accepted
time: 210ms
memory: 393852kb

input:

9999999 9999996

output:

123628609

result:

ok "123628609"

Test #17:

score: 0
Accepted
time: 203ms
memory: 393960kb

input:

9999998 9999998

output:

223852357

result:

ok "223852357"

Test #18:

score: 0
Accepted
time: 200ms
memory: 393904kb

input:

9999998 9999997

output:

75877991

result:

ok "75877991"

Test #19:

score: 0
Accepted
time: 204ms
memory: 393768kb

input:

9999998 9999996

output:

494540335

result:

ok "494540335"

Test #20:

score: 0
Accepted
time: 211ms
memory: 393864kb

input:

9999998 9999995

output:

19191738

result:

ok "19191738"

Test #21:

score: 0
Accepted
time: 208ms
memory: 393820kb

input:

9999997 9999997

output:

238385746

result:

ok "238385746"

Test #22:

score: 0
Accepted
time: 207ms
memory: 393864kb

input:

9999997 9999996

output:

138191521

result:

ok "138191521"

Test #23:

score: 0
Accepted
time: 209ms
memory: 393892kb

input:

9999997 9999995

output:

721536184

result:

ok "721536184"

Test #24:

score: 0
Accepted
time: 198ms
memory: 393868kb

input:

9999997 9999994

output:

627112720

result:

ok "627112720"

Test #25:

score: 0
Accepted
time: 145ms
memory: 320120kb

input:

8113616 1826492

output:

629546539

result:

ok "629546539"

Test #26:

score: 0
Accepted
time: 142ms
memory: 285568kb

input:

7230333 4233627

output:

870135249

result:

ok "870135249"

Test #27:

score: 0
Accepted
time: 213ms
memory: 383544kb

input:

9734872 9617286

output:

780426509

result:

ok "780426509"

Test #28:

score: 0
Accepted
time: 132ms
memory: 267988kb

input:

6780022 6393958

output:

508662111

result:

ok "508662111"

Test #29:

score: 0
Accepted
time: 103ms
memory: 197876kb

input:

4986441 1909344

output:

762587564

result:

ok "762587564"

Test #30:

score: 0
Accepted
time: 181ms
memory: 391336kb

input:

9936540 91728

output:

651924678

result:

ok "651924678"

Test #31:

score: 0
Accepted
time: 155ms
memory: 358676kb

input:

9099529 94239

output:

775532638

result:

ok "775532638"

Test #32:

score: 0
Accepted
time: 173ms
memory: 376812kb

input:

9564814 93545

output:

474538902

result:

ok "474538902"

Test #33:

score: 0
Accepted
time: 169ms
memory: 382444kb

input:

9707744 92094

output:

354024226

result:

ok "354024226"

Test #34:

score: 0
Accepted
time: 164ms
memory: 361284kb

input:

9167687 94820

output:

858989558

result:

ok "858989558"

Test #35:

score: 0
Accepted
time: 177ms
memory: 393712kb

input:

10000000 100000

output:

609345536

result:

ok "609345536"

Test #36:

score: 0
Accepted
time: 177ms
memory: 393832kb

input:

10000000 99999

output:

217258255

result:

ok "217258255"

Test #37:

score: 0
Accepted
time: 174ms
memory: 393748kb

input:

10000000 99998

output:

485057696

result:

ok "485057696"

Test #38:

score: 0
Accepted
time: 186ms
memory: 393984kb

input:

10000000 99997

output:

193579142

result:

ok "193579142"

Test #39:

score: 0
Accepted
time: 171ms
memory: 393860kb

input:

9999999 100000

output:

584105896

result:

ok "584105896"

Test #40:

score: 0
Accepted
time: 200ms
memory: 393976kb

input:

9999999 99999

output:

707014865

result:

ok "707014865"

Test #41:

score: 0
Accepted
time: 164ms
memory: 393916kb

input:

9999999 99998

output:

872987417

result:

ok "872987417"

Test #42:

score: 0
Accepted
time: 178ms
memory: 393796kb

input:

9999999 99997

output:

707304988

result:

ok "707304988"

Test #43:

score: 0
Accepted
time: 167ms
memory: 393964kb

input:

9999998 100000

output:

789028925

result:

ok "789028925"

Test #44:

score: 0
Accepted
time: 163ms
memory: 393868kb

input:

9999998 99999

output:

628266237

result:

ok "628266237"

Test #45:

score: 0
Accepted
time: 170ms
memory: 393824kb

input:

9999998 99998

output:

38358057

result:

ok "38358057"

Test #46:

score: 0
Accepted
time: 180ms
memory: 393756kb

input:

9999998 99997

output:

785931240

result:

ok "785931240"

Test #47:

score: 0
Accepted
time: 176ms
memory: 393760kb

input:

9999997 100000

output:

945452715

result:

ok "945452715"

Test #48:

score: 0
Accepted
time: 179ms
memory: 393868kb

input:

9999997 99999

output:

537126025

result:

ok "537126025"

Test #49:

score: 0
Accepted
time: 193ms
memory: 393912kb

input:

9999997 99998

output:

837196653

result:

ok "837196653"

Test #50:

score: 0
Accepted
time: 170ms
memory: 393796kb

input:

9999997 99997

output:

263045713

result:

ok "263045713"

Test #51:

score: 0
Accepted
time: 1ms
memory: 3484kb

input:

2 2

output:

1

result:

ok "1"

Test #52:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

3 3

output:

831870295

result:

ok "831870295"

Test #53:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

4 4

output:

374341633

result:

ok "374341633"

Test #54:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

3 2

output:

499122177

result:

ok "499122177"

Test #55:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

4 3

output:

623902721

result:

ok "623902721"

Test #56:

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

input:

5 4

output:

890101215

result:

ok "890101215"

Test #57:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

3 1

output:

166374059

result:

ok "166374059"

Test #58:

score: 0
Accepted
time: 1ms
memory: 3792kb

input:

4 2

output:

166374059

result:

ok "166374059"

Test #59:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

5 3

output:

16637406

result:

ok "16637406"

Test #60:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

6 4

output:

508827330

result:

ok "508827330"

Test #61:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

4 1

output:

291154603

result:

ok "291154603"

Test #62:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

5 2

output:

291154603

result:

ok "291154603"

Test #63:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

6 3

output:

859599304

result:

ok "859599304"

Test #64:

score: 0
Accepted
time: 1ms
memory: 3572kb

input:

7 4

output:

694809760

result:

ok "694809760"

Test #65:

score: 0
Accepted
time: 103ms
memory: 222960kb

input:

5629201 38642

output:

327294391

result:

ok "327294391"

Test #66:

score: 0
Accepted
time: 5ms
memory: 8280kb

input:

126092 74219

output:

27573951

result:

ok "27573951"

Test #67:

score: 0
Accepted
time: 143ms
memory: 339044kb

input:

8593075 8689

output:

393785113

result:

ok "393785113"

Test #68:

score: 0
Accepted
time: 16ms
memory: 45280kb

input:

1076972 58637

output:

600806929

result:

ok "600806929"

Test #69:

score: 0
Accepted
time: 3ms
memory: 21164kb

input:

463217 39187

output:

408712022

result:

ok "408712022"

Extra Test:

score: 0
Extra Test Passed