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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#825494#4283. Power of XORYangHHaoWA 772ms62544kbC++173.3kb2024-12-21 19:46:122024-12-21 19:46:18

Judging History

你现在查看的是最新测评结果

  • [2024-12-21 19:46:18]
  • 评测
  • 测评结果:WA
  • 用时:772ms
  • 内存:62544kb
  • [2024-12-21 19:46:12]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
/*
 * Author: Yang
 * Date: 2024-12-03
 */
//#pragma GCC optimize(2)
using ll=long long;
using uint=unsigned int;
using ull=unsigned ll;
using pii=pair<int,int>;
#define all(v) begin(v),end(v)
#define fst first
#define scd second
#define rep(i,s,t) for(int i=(s);i<=(t);++i)
#define irep(i,t,s) for(int i=(t);i>=(s);--i)
template<typename T>
bool chmax(T &x,T y){return x<y?(x=y,1):0;}
template<typename T>
bool chmin(T &x,T y){return y<x?(x=y,1):0;}
constexpr int mod=1e9+7,Mmx=44;
int qp(int a,ll b,int p=mod){
    int r=1;
    while(b){
        if(b&1) r=1ll*r*a%p;
        a=1ll*a*a%p;b>>=1;
    }
    return r;
};
int pwk[Mmx+1];
int solve_2_to_n(vector<ll> a, int k){
    constexpr int m=Mmx;
    array<int,2> n;
    n[0]=a.size()/2;
    n[1]=a.size()-a.size()/2;
    vector<ll> S[2];
    rep(t,0,1){
        S[t].resize(1<<n[t],0);
        rep(x,1,(1<<n[t])-1){
            S[t][x]=S[t][x^(x&-x)]^a[__lg(x&-x)+t*n[0]];
        }
    }
    vector<int> pc(1<<(m/2),0);
    rep(x,1,(1<<(m/2))-1){
        pc[x]=pc[x^(x&-x)]+1;
    }
    int ans=0;
    rep(x,0,(1<<n[0])-1){
        rep(y,0,(1<<n[1])-1){
            ll v=S[0][x]^S[1][y];
            int c=pc[v>>(m/2)]+pc[v&((1ll<<(m/2))-1)];
            (ans+=pwk[c])%=mod;
        }
    }
    return ans;
}
template<int m0=Mmx>
int solve(vector<ll> a,vector<int> piv,int k){
    int m=m0;
    auto rm_digit=[&](int i){
        m--;
        ll const msk=(1ll<<i)-1;
        for(auto &x:a){
            x=(x&msk)|(x>>1)&~msk;
        }
    };
    int n=a.size();
    irep(i,n-1,0) if(piv[i]!=-1) rm_digit(piv[i]);
    auto trans=[&](valarray<int> const &v, ll x)->valarray<int> {
        valarray<int> r(0,1<<m);
        rep(i,0,(1<<m)-1) r[i^x]=v[i];
        return r;
    };
    valarray<valarray<int>> f(valarray<int>(0,1<<m),n+1);
    f[0][0]=1;
    // cout<<m<<'\n';
    rep(i,0,n-1){
        // cout<<i<<' '<<a[i]<<','<<piv[i]<<'\n';
        bool dc=piv[i]!=-1;
        irep(c,n-1,0){
            // cout<<' '<<c<<"->"<<c+dc<<'\n';
            f[c+dc]+=trans(f[c],a[i]);
            f[c+dc]%=mod;
        }
    }
    int ans=0;
    rep(c,0,n){
        rep(x,0,(1<<m)-1){
            // if(f[c][x]) cout<<c<<' '<<x<<" "<<f[c][x]<<' '<<pwk[__builtin_popcount(x)+c]<<'\n';
            (ans+=1ll*f[c][x]*pwk[__builtin_popcount(x)+c]%mod)%=mod;
        }
    }
    return ans;
}
signed main(){
    //ios::sync_with_stdio(false);
    int n,k;
    cin>>n>>k;
    rep(i,1,Mmx) pwk[i]=qp(i,k);
    vector<ll> a(n);
    for(auto &x:a) cin>>x;
    vector<int> piv(n);
    int p=0;
    rep(i,0,n-1){
        while(p<Mmx && none_of(i+all(a),[&](ll x){return x>>p&1;})) p++;
        if(!(a[i]>>p&1)){
            rep(j,i+1,n-1){
                if(a[j]>>p&1){
                    a[i]^=a[j];
                    break;
                }
            }
        }
        rep(j,i+1,n-1){
            if(a[j]>>p&1) a[j]^=a[i];
        }
        
        if(p<Mmx) piv[i]=p;
        else piv[i]=-1;
    }
    vector<ll> aa;
    vector<int> pivv;
    rep(i,0,n-1){
        if(piv[i]!=-1){
            aa.push_back(a[i]);
            pivv.push_back(piv[i]);
        }
    }
    int ans=qp(2,n-aa.size());
    cout<<1ll*ans*(aa.size()<=24?solve_2_to_n(aa,k):solve(aa,pivv,k))%mod<<"\n";
    
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 7ms
memory: 19532kb

input:

3 2
1 2 3

output:

12

result:

ok 1 number(s): "12"

Test #2:

score: 0
Accepted
time: 3ms
memory: 19432kb

input:

2 1000000000
1 2

output:

140625003

result:

ok 1 number(s): "140625003"

Test #3:

score: 0
Accepted
time: 3ms
memory: 19444kb

input:

3 4
21 31 15

output:

1076

result:

ok 1 number(s): "1076"

Test #4:

score: 0
Accepted
time: 6ms
memory: 19516kb

input:

4 10
21 16 23 30

output:

3504120

result:

ok 1 number(s): "3504120"

Test #5:

score: 0
Accepted
time: 2ms
memory: 19580kb

input:

5 795325759
23 18 18 15 24

output:

398580583

result:

ok 1 number(s): "398580583"

Test #6:

score: 0
Accepted
time: 5ms
memory: 19584kb

input:

6 425010546
15190825693299 11021868218180 10853490476696 16489831131502 15731786397897 1859285400474

output:

226806798

result:

ok 1 number(s): "226806798"

Test #7:

score: 0
Accepted
time: 0ms
memory: 19584kb

input:

7 376524109
14035202899482 10047025581205 744778190838 10085364176616 17517303536898 10648638998430 4344258259221

output:

909089159

result:

ok 1 number(s): "909089159"

Test #8:

score: 0
Accepted
time: 3ms
memory: 19524kb

input:

8 849112677
12651182249229 2557626671152 16190796268614 7679451552477 1419165382365 16010747922241 1877804892046 6782866140038

output:

60890703

result:

ok 1 number(s): "60890703"

Test #9:

score: 0
Accepted
time: 6ms
memory: 19580kb

input:

9 874735099
10148022499611 4300816040299 6425463859799 11220407430827 16167481816769 5361425691648 9036180330515 1461806017525 5752555300268

output:

371891946

result:

ok 1 number(s): "371891946"

Test #10:

score: 0
Accepted
time: 3ms
memory: 19428kb

input:

10 466547903
14475814446599 10414899512095 8279261110485 15402964537241 12059977291235 14960757658011 15642794803423 176456760404 8544855584093 939455648117

output:

705005476

result:

ok 1 number(s): "705005476"

Test #11:

score: 0
Accepted
time: 6ms
memory: 19584kb

input:

11 587282176
2381973819369 7896756717881 3605049079058 3476202500557 8161539414084 4107261754597 4052905214220 13489145138694 14249896320133 4915388559035 946556082447

output:

221771132

result:

ok 1 number(s): "221771132"

Test #12:

score: 0
Accepted
time: 3ms
memory: 19584kb

input:

12 416671000
12040275816251 17062751464343 7135252213488 464175530141 1680797265108 8088672081270 15974373338891 2807308701611 10474875618229 14385428199760 7217460885705 14772837072591

output:

888526388

result:

ok 1 number(s): "888526388"

Test #13:

score: 0
Accepted
time: 7ms
memory: 19528kb

input:

13 555186260
16812780767710 10577402574202 14435021461484 7629604678144 2685467464476 6345623360274 243420234591 10035113157523 3422776077242 10218637237089 14851966122299 403170012001 9905420122107

output:

990043010

result:

ok 1 number(s): "990043010"

Test #14:

score: 0
Accepted
time: 0ms
memory: 19528kb

input:

14 509328299
8353561750434 10104176798819 6443583453798 16526745760567 11644429218948 7613211796505 14675590153019 16014035780673 8977332980184 8018462423140 10321575146167 3765866187251 951943560884 16567591980900

output:

554786244

result:

ok 1 number(s): "554786244"

Test #15:

score: 0
Accepted
time: 3ms
memory: 19460kb

input:

15 608613602
13478763858236 3740903255952 1077573334827 10777446313857 9164622625061 3532139720401 10581691792868 227725402800 1100326438302 11314744041629 5716533742148 13171916589439 3380813371904 4280184438172 3241608634862

output:

451055479

result:

ok 1 number(s): "451055479"

Test #16:

score: 0
Accepted
time: 3ms
memory: 19444kb

input:

16 940201087
10256426323317 3262426443677 11042930351118 9509672586143 6874576733055 17425354233945 44840572217 271060611230 5160013582892 940549858628 3460145241956 1911512043119 6262508016313 15998335209279 4331486722244 1174379722227

output:

609521624

result:

ok 1 number(s): "609521624"

Test #17:

score: 0
Accepted
time: 4ms
memory: 19512kb

input:

17 224938820
17119676032384 14016470814638 9555327895162 4956367760197 14164877522334 11840938437493 196922732084 1117964651219 15662255500985 6799149377748 2081570899516 8101318468846 6806038800783 8481897921532 14327689591834 3468429675406 707483765694

output:

952629882

result:

ok 1 number(s): "952629882"

Test #18:

score: 0
Accepted
time: 6ms
memory: 19396kb

input:

18 572144592
1034330548675 7466761131151 5479486866730 5805192559012 2072047969997 14094135393106 3957442001455 9636000453501 6359658906102 13786563194342 12655202300227 17497546480004 15210614567784 5757118085432 3507806179905 4092815624732 2831474245754 8905127237409

output:

711094061

result:

ok 1 number(s): "711094061"

Test #19:

score: 0
Accepted
time: 7ms
memory: 19540kb

input:

19 655059034
10160251337230 17368680333349 7582672215712 15170782424265 11091464398448 3468569802147 12985801017272 11885768849226 2042891901510 5816113601266 17200614913667 3230577285683 6122037312518 4476865090037 17458280591698 8087876238641 12295868407218 14891985681505 9046310739642

output:

444845559

result:

ok 1 number(s): "444845559"

Test #20:

score: 0
Accepted
time: 11ms
memory: 19512kb

input:

20 230956009
5657766305333 6062575310370 15139059764699 15999531683504 8700249448570 8496370986569 11931362029342 16808274736949 6582914043608 3148217142903 623248093777 2603754608083 16741237934194 11551777078922 17177864498497 147568049427 2693939410255 11977553059228 14614351055705 11790115139758

output:

618103113

result:

ok 1 number(s): "618103113"

Test #21:

score: 0
Accepted
time: 16ms
memory: 19556kb

input:

21 991001581
13505588614813 8588095735948 6076766289787 11667017057163 7602334689492 3100571431902 16456031754497 17012042226760 2298783364823 2292586959243 16484353107729 6379611127333 2309984518512 17222120007066 15742378844056 10137340715213 11581793910964 6058313717190 9891627922923 939856806688...

output:

340865032

result:

ok 1 number(s): "340865032"

Test #22:

score: 0
Accepted
time: 27ms
memory: 19584kb

input:

22 793915239
14683316686425 5162188247000 7429819452817 16611661938749 11084135813793 13856133740403 13108004035448 13856666274966 9461726048738 5612503807810 15177562338647 5006352927897 15216557346760 8527880141821 15843683785466 7692179013817 127553824751 5234432790248 6453714209319 1152804933059...

output:

669154856

result:

ok 1 number(s): "669154856"

Test #23:

score: 0
Accepted
time: 50ms
memory: 19448kb

input:

23 46024280
7514210736994 16544433148860 5457306548546 5030077832970 10322997084235 5669909500374 8381456993928 10988407597025 8111544042162 10588037243918 12116378947678 13379626855924 10216405913667 9728737199159 12487637411090 11957321472850 15722206258699 17236861929685 15970454160165 2302405750...

output:

560027727

result:

ok 1 number(s): "560027727"

Test #24:

score: 0
Accepted
time: 88ms
memory: 19532kb

input:

24 987331368
17225443429613 10254751679227 3710337795354 9960878278886 3536301339395 8181058117864 15108863858942 3302198449417 6902193486641 8347347537914 8639500195933 3284177408604 9417624777639 5862512932466 10643916118422 14918257011693 8684158391259 10231904191169 17423403571877 13578583210490...

output:

902893141

result:

ok 1 number(s): "902893141"

Test #25:

score: -100
Wrong Answer
time: 772ms
memory: 62544kb

input:

25 6356342
633691957112 12691686740693 2837615772764 12061807109950 14923133272874 14814883481961 15999555715426 13555874031521 6459210859425 556162071453 8417793517180 3701478570933 2799170553419 4135575419616 8116459391381 584184726086 12797443971069 16036119552969 1578981557574 7989957867379 1096...

output:

548273052

result:

wrong answer 1st numbers differ - expected: '314404834', found: '548273052'