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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#825421 | #4283. Power of XOR | YangHHao | WA | 839ms | 64748kb | C++17 | 3.2kb | 2024-12-21 19:14:46 | 2024-12-21 19:14:47 |
Judging History
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;}
const int mod=1e9+7;
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 solve_2_to_n(vector<ll> a, int k){
constexpr int m=45;
vector<int> pwk(m+1,0);
rep(i,1,m){
pwk[i]=qp(i,k);
}
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=45>
int solve(vector<ll> a,int k){
int m=m0;
vector<int> pwk(m+1,0);
rep(i,1,m0){
pwk[i]=qp(i,k);
}
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();
vector<int> piv(a.size()),pivs;
int p=0;
rep(i,0,n-1){
while(p<m0 && !any_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];
}
piv[i]=p;
if(p<m0) pivs.push_back(p);
}
irep(i,(int)pivs.size()-1,0) rm_digit(pivs[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,(int)a.size()-1){
// cout<<i<<' '<<a[i]<<','<<piv[i]<<'\n';
irep(c,n-1,0){
bool dc=piv[i]<m0;
// 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;
vector<ll> a;
rep(i,1,n){
ll x;cin>>x;
a.push_back(x);
}
cout<<(n<=25?solve_2_to_n(a,k):solve(a,k))<<"\n";
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 4ms
memory: 19560kb
input:
3 2 1 2 3
output:
12
result:
ok 1 number(s): "12"
Test #2:
score: 0
Accepted
time: 4ms
memory: 19552kb
input:
2 1000000000 1 2
output:
140625003
result:
ok 1 number(s): "140625003"
Test #3:
score: 0
Accepted
time: 4ms
memory: 19468kb
input:
3 4 21 31 15
output:
1076
result:
ok 1 number(s): "1076"
Test #4:
score: 0
Accepted
time: 2ms
memory: 19476kb
input:
4 10 21 16 23 30
output:
3504120
result:
ok 1 number(s): "3504120"
Test #5:
score: 0
Accepted
time: 3ms
memory: 19604kb
input:
5 795325759 23 18 18 15 24
output:
398580583
result:
ok 1 number(s): "398580583"
Test #6:
score: 0
Accepted
time: 4ms
memory: 19592kb
input:
6 425010546 15190825693299 11021868218180 10853490476696 16489831131502 15731786397897 1859285400474
output:
226806798
result:
ok 1 number(s): "226806798"
Test #7:
score: 0
Accepted
time: 3ms
memory: 19524kb
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: 19636kb
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: 4ms
memory: 19524kb
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: 4ms
memory: 19648kb
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: 4ms
memory: 19664kb
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: 8ms
memory: 19556kb
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: 4ms
memory: 19632kb
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: 4ms
memory: 19512kb
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: 8ms
memory: 19600kb
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: 4ms
memory: 19456kb
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: 5ms
memory: 19584kb
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: 11ms
memory: 19476kb
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: 19524kb
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: 19564kb
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: 18ms
memory: 19468kb
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: 49ms
memory: 19448kb
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: 112ms
memory: 19596kb
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: 226ms
memory: 19592kb
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: 0
Accepted
time: 452ms
memory: 19652kb
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:
314404834
result:
ok 1 number(s): "314404834"
Test #26:
score: -100
Wrong Answer
time: 839ms
memory: 64748kb
input:
26 928302018 15796444138481 11937355225779 6149665857421 3432433989770 2307410764687 17243936548925 6178469381919 8828731666077 3415993426130 1036426554693 14386104368478 13448264214939 12599370135462 16273290761628 7852195291114 16757484794229 2980400729227 11047051074570 5685198104638 421391190008...
output:
475945301
result:
wrong answer 1st numbers differ - expected: '591376981', found: '475945301'