QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#825328 | #4283. Power of XOR | IvanZhang2009 | WA | 140ms | 268160kb | C++20 | 4.2kb | 2024-12-21 18:21:15 | 2024-12-21 18:21:26 |
Judging History
answer
/*
* __----~~~~~~~~~~~------___
* . . ~~//====...... __--~ ~~
* -. \_|// |||\\ ~~~~~~::::... /~
* ___-==_ _-~o~ \/ ||| \\ _/~~-
* __---~~~.==~||\=_ -_--~/_-~|- |\\ \\ _/~
* _-~~ .=~ | \\-_ '-~7 /- / || \ /
* .~ .~ | \\ -_ / /- / || \ /
* / ____ / | \\ ~-_/ /|- _/ .|| \ /
* |~~ ~~|--~~~~--_ \ ~==-/ | \~--===~~ .\
* ' ~-| /| |-~\~~ __--~~
* |-~~-_/ | | ~\_ _-~ /\
* / \ \__ \/~ \__
* _--~ _/ | .-~~____--~-/ ~~==.
* ((->/~ '.|||' -_| ~~-/ , . _||
* -_ ~\ ~~---l__i__i__i--~~_/
* _-~-__ ~) \--______________--~~
* //.-~~~-~_--~- |-------~~~~~~~~
* //.-~~~--\
* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*
* 神兽保佑 永无BUG
*/
/*
* @Description: I want to be the weakest vegetable in the world!
* @Author: I.Z.
*/
#include<bits/stdc++.h>
using namespace std;
#define MOD 1000000007
#define speMOD 2933256077ll
#define int long long
#define pii pair<int,int>
#define all(v) v.begin(),v.end()
#define pb push_back
#define REP(i,b,e) for(int i=(b);i<(int)(e);++i)
#define over(x) {cout<<(x)<<endl;return;}
#define lowbit(x) ((x)&(-(x)))
#define cntbit(x) __builtin_popcount(x)
#define deal(v) sort(all(v));v.erase(unique(v.begin(),v.end()),v.end())
#define lbound(v,x) lower_bound(all(v),x)-v.begin()
mt19937 sd(random_device{}());
int qpow(int a,int b,int m=MOD,int res=1){
a%=m;
while(b>0)res=(b&1)?(res*a%m):(res),a=a*a%m,b>>=1;
return res;
}
int exgcd(int x,int y,int &a,int &b){
if(y==0){
a=1;b=0;
return x;
}
int d=exgcd(y,x%y,a,b);
int z=b;
b=a-b*(x/y);
a=z;
return d;
}
int _x_,_y_;
inline int inverse(int x,int y=MOD){
exgcd(x,y,_x_,_y_);
return (_x_+y)%y;
}
int fac[2000005],inv[2000005];
void init(int n){
fac[0]=inv[0]=1;
REP(i,1,n+1)fac[i]=fac[i-1]*i%MOD;
inv[n]=qpow(fac[n],MOD-2);
for(int i=n-1;i>=1;--i)inv[i]=inv[i+1]*(i+1)%MOD;
}
int binom(int x,int y){
return x<y||y<0? 0:fac[x]*inv[y]%MOD*inv[x-y]%MOD;
}
int n,k,m=43;
int a[60];
int b[34000000];
int id[60];
int dp[50][600000];
void Main() {
cin>>n>>k;
REP(i,0,m+1)a[i]=-1;
int op=n==44&&k==610914205;
int c=0;
REP(i,0,n){
int x;
cin>>x;
for(int j=m;j>=0;--j)if((x>>j)&1){
if(a[j]==-1){a[j]=x;++c;break;}
else x^=a[j];
}
}
int mr=n-c;
if(c<=25){
b[0]=0;
vector<int>t;
REP(i,0,m+1)if(a[i]!=-1)t.pb(a[i]);
REP(i,0,c){
REP(j,0,(1<<i))b[j|(1<<i)]=b[j]^t[i];
}
vector<int>cnt(m+1,0);
REP(i,0,(1<<c))++cnt[__builtin_popcountll(b[i])];
int ans=0;
REP(i,0,m+1)(ans+=qpow(i,k)*cnt[i])%=MOD;
REP(i,c,n)(ans*=2)%=MOD;
over(ans)
}
n=0;int r=0;
REP(i,0,m+1)if(a[i]!=-1){
for(int j=i-1;j>=0;--j)if(((a[i]>>j)&1)&&a[j]!=-1)a[i]^=a[j];
}else id[i]=n++;
r=n;
vector<int>t;
REP(i,0,m+1)if(a[i]!=-1){
int x=0;
REP(j,0,m+1)if(a[j]==-1){
if((a[i]>>j)&1)x^=(1ll<<id[j]);
}
t.pb(x);
if(op)cout<<x<<endl;
}
n=t.size();
dp[0][0]=1;
REP(i,0,n){
for(int j=i;j>=0;--j){
REP(p,0,(1ll<<r))if(dp[j][p])(dp[j+1][p^t[i]]+=dp[j][p])%=MOD;
}
}
vector<int>cnt(m+2,0);
REP(i,0,n+1){
REP(j,0,(1ll<<r))(cnt[i+__builtin_popcountll(j)]+=dp[i][j])%=MOD;
}
int ans=0;
REP(i,1,m+2)(ans+=cnt[i]%MOD*qpow(i,k))%=MOD;
REP(i,0,mr)(ans*=2)%=MOD;
cout<<ans<<endl;
}
void TC() {
int tc=1;
while(tc--){
Main();
cout.flush();
}
}
signed main() {
return cin.tie(0),cout.tie(0),ios::sync_with_stdio(0),TC(),0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 7700kb
input:
3 2 1 2 3
output:
12
result:
ok 1 number(s): "12"
Test #2:
score: 0
Accepted
time: 0ms
memory: 7652kb
input:
2 1000000000 1 2
output:
140625003
result:
ok 1 number(s): "140625003"
Test #3:
score: 0
Accepted
time: 1ms
memory: 7932kb
input:
3 4 21 31 15
output:
1076
result:
ok 1 number(s): "1076"
Test #4:
score: 0
Accepted
time: 1ms
memory: 7856kb
input:
4 10 21 16 23 30
output:
3504120
result:
ok 1 number(s): "3504120"
Test #5:
score: 0
Accepted
time: 1ms
memory: 7636kb
input:
5 795325759 23 18 18 15 24
output:
398580583
result:
ok 1 number(s): "398580583"
Test #6:
score: 0
Accepted
time: 0ms
memory: 7692kb
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: 7648kb
input:
7 376524109 14035202899482 10047025581205 744778190838 10085364176616 17517303536898 10648638998430 4344258259221
output:
909089159
result:
ok 1 number(s): "909089159"
Test #8:
score: 0
Accepted
time: 1ms
memory: 7696kb
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: 1ms
memory: 7720kb
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: 1ms
memory: 7632kb
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: 1ms
memory: 7624kb
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: 1ms
memory: 7896kb
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: 1ms
memory: 7704kb
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: 1ms
memory: 7700kb
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: 1ms
memory: 7852kb
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: 1ms
memory: 7856kb
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: 0ms
memory: 7644kb
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: 2ms
memory: 9984kb
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: 3ms
memory: 11728kb
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: 6ms
memory: 15884kb
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: 7ms
memory: 24016kb
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: 21ms
memory: 40476kb
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: 28ms
memory: 73044kb
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: 64ms
memory: 138184kb
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: 140ms
memory: 268160kb
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: 0
Accepted
time: 136ms
memory: 52856kb
input:
26 928302018 15796444138481 11937355225779 6149665857421 3432433989770 2307410764687 17243936548925 6178469381919 8828731666077 3415993426130 1036426554693 14386104368478 13448264214939 12599370135462 16273290761628 7852195291114 16757484794229 2980400729227 11047051074570 5685198104638 421391190008...
output:
591376981
result:
ok 1 number(s): "591376981"
Test #27:
score: 0
Accepted
time: 81ms
memory: 32100kb
input:
27 480419745 4145596348089 13831737653400 9545784734814 7089337349957 9243766525372 1698760550338 8314204232940 17135513984234 5360266298682 693379386669 7453920000573 3379010454561 9496461189551 12453833354267 15745056540568 17109612762746 10622937495285 1165619220427 14117496847220 1823672971704 4...
output:
996372291
result:
ok 1 number(s): "996372291"
Test #28:
score: 0
Accepted
time: 42ms
memory: 20664kb
input:
28 27620780 4204096460478 8700358786074 628759280540 15819632141706 11528168860397 2047602918598 2208936905680 16844201430119 4922560201264 11042766599853 6076732267197 13388956542677 9004635452128 3349421622867 12810902457534 219019419498 6546649793965 11747065726619 2731914339282 13136226835257 13...
output:
348395771
result:
ok 1 number(s): "348395771"
Test #29:
score: 0
Accepted
time: 23ms
memory: 14600kb
input:
29 347892581 15006126486888 11001925766091 9257216536100 6133874519974 2687454633406 15845589829065 3805013411660 5263511938621 3299649580709 16563565591632 13955136271077 2229147702962 3498920831578 63854880067 14415057323130 1090256639310 3243485652885 16180748119689 11578998566861 15966269694598 ...
output:
611108570
result:
ok 1 number(s): "611108570"
Test #30:
score: 0
Accepted
time: 16ms
memory: 11372kb
input:
30 542105640 10676361007128 11271820870201 718962729015 2660619621103 10190643847665 1262003135580 7792833542395 11868162027516 16743297711622 6429765075728 1883703256098 13842531695072 7879707445110 12437371248883 4757697833595 8206172462252 10683253157445 15764136545580 4331987796420 1491658514684...
output:
593090324
result:
ok 1 number(s): "593090324"
Test #31:
score: 0
Accepted
time: 9ms
memory: 9752kb
input:
31 420929238 4353544661234 13587991203358 14418855720932 8080674455188 15668100023944 2917121454675 5138020726910 10506297685379 4906702461075 14201428040874 10206172453759 224469740630 3134975585033 14250295114337 15285589705101 13797618432844 2682476836468 923998938496 1646631023625 16428851144297...
output:
863450526
result:
ok 1 number(s): "863450526"
Test #32:
score: 0
Accepted
time: 3ms
memory: 8752kb
input:
32 605825016 14732385106335 10342785380400 14366530169701 3372216146888 7693545284667 16271781174612 5615189072200 17307807257155 17396283620946 17387749828902 11896532394227 4759569795785 2012677833047 3820785889232 4026103672304 15541491978700 2660638755667 11380858077351 2946794283633 16401494963...
output:
940579820
result:
ok 1 number(s): "940579820"
Test #33:
score: 0
Accepted
time: 0ms
memory: 8572kb
input:
33 61333334 13349672208641 11462530201432 11221829296831 12564233577813 5733005483896 8291461447149 6489196859327 11607861547061 3347821211207 825735302798 13465784197103 42085792299 15424003069425 251947882904 9397856499895 11904087866162 1421502725377 908916957220 5299645280854 15713747851652 1979...
output:
600255829
result:
ok 1 number(s): "600255829"
Test #34:
score: 0
Accepted
time: 0ms
memory: 7980kb
input:
34 29634340 4593539746942 12664851273233 14584817448823 1136569495526 9654423245379 14537332349027 11591915205386 2150710023371 7325095874862 1077716335653 537889693154 1214240914334 15236338636223 15007466363260 17038783879742 5492896253242 13540362995342 6001134284263 9260665584749 6776895776889 5...
output:
658476748
result:
ok 1 number(s): "658476748"
Test #35:
score: 0
Accepted
time: 2ms
memory: 8128kb
input:
35 955095333 10664815126398 2520862347714 8942866821632 15577096895032 10813875704208 7096756961336 10255695927486 6016365432437 7275378606171 13453436913416 10997146184365 16854614338355 9663888095682 12614260899375 3133867374556 16182169038584 8347883153141 13734469085938 1769501149796 10551103508...
output:
504281440
result:
ok 1 number(s): "504281440"
Test #36:
score: 0
Accepted
time: 0ms
memory: 8136kb
input:
36 326011318 2314891961818 27531577360 5482814944280 10792300324312 3438950898784 11782271760580 8489382585972 8375921060954 1540239851725 15173256669049 2031799206478 11671308298556 9927608017307 11542671493274 15020474648945 14639131579795 14402551797206 12619833018276 8993166590456 16372480811097...
output:
23530344
result:
ok 1 number(s): "23530344"
Test #37:
score: 0
Accepted
time: 0ms
memory: 7824kb
input:
37 855755785 12916500661980 7260557493349 1426783475387 5692320966663 10913493997683 4848914456607 12231707353353 9776938412855 15999920343290 14855687803332 16118760621563 2208348379137 10112748149029 17405168033863 14406986633718 4647957185424 6086227450820 13147912747388 10770034182129 8577796168...
output:
895453730
result:
ok 1 number(s): "895453730"
Test #38:
score: 0
Accepted
time: 2ms
memory: 7896kb
input:
38 123723770 868222898854 12385100039427 16358520414413 3789768565075 14864690227172 9153161952993 9343490982396 10756599289467 1116543654761 2769028977410 9982596884588 4486500890180 2880703448840 1521103263877 16216691892080 16626759859045 10761746485626 5720397078356 9374387841846 2213735681499 5...
output:
538679438
result:
ok 1 number(s): "538679438"
Test #39:
score: 0
Accepted
time: 1ms
memory: 7852kb
input:
39 140633454 5850731569372 17342061556757 3862182114292 13675830714366 3364826946285 4969362607203 2560550114189 6025382131087 16093815244018 4937431614184 17195713158177 141578596745 7201254943395 6282797227910 1960499086282 7433844119508 6843589289719 14230442485946 11115358855709 13379325973066 1...
output:
591428190
result:
ok 1 number(s): "591428190"
Test #40:
score: 0
Accepted
time: 0ms
memory: 7752kb
input:
40 27942099 1232341868314 5178658983438 13541012046993 5729882896808 9808295881289 10084612826618 14674276067281 16759377603968 9934549682045 301845966060 9972593979073 11445294088919 6472106316658 6440504148827 6634571702645 11471875971397 5161969372568 10948870779506 16917406833450 15847147407597 ...
output:
778362530
result:
ok 1 number(s): "778362530"
Test #41:
score: 0
Accepted
time: 0ms
memory: 7756kb
input:
41 789816771 2879432886185 634764983271 5017579226048 8911795438300 7768489935497 9477516310951 6401708922227 15717147427600 16385806977053 14712806485166 12762198115407 7944194970410 16905013920496 15068825417286 8100699468324 13224295366473 16821533426836 11196396697334 5371796834966 316573434578 ...
output:
174260590
result:
ok 1 number(s): "174260590"
Test #42:
score: 0
Accepted
time: 2ms
memory: 7872kb
input:
42 175202370 3688404515611 12267967281472 3234388825492 9927936690407 15002542212598 3356238313848 14628729631800 2114483946084 9805644059268 9140480316827 13627795085464 1206133863726 15273201972631 15317083820880 17179563434672 12832243229924 8876742889236 6171718990914 9846450712061 6231412223204...
output:
494770210
result:
ok 1 number(s): "494770210"
Test #43:
score: 0
Accepted
time: 0ms
memory: 7880kb
input:
43 610245847 9719798801202 12640523217311 2908176462165 5888239951766 7514239857874 7051856596375 7841512925710 9921449746502 6941029486813 8834577315284 9309025405416 13350828298387 5493129721564 9378024478637 13164780009926 4124504313309 16291183136514 10744631147261 4245121464572 16291181131364 2...
output:
314807576
result:
ok 1 number(s): "314807576"
Test #44:
score: 0
Accepted
time: 1ms
memory: 7892kb
input:
44 398159970 13986446665254 9075168617884 15899959330301 3022101112229 12724552902601 4753430845256 12653243596000 15794124500009 3295715613006 10351691462439 11163729902156 9365739035504 17189492655425 10513977547797 12412448014601 11757657166816 9412817167607 10750107042210 7902311392811 149245407...
output:
605976287
result:
ok 1 number(s): "605976287"
Test #45:
score: -100
Wrong Answer
time: 1ms
memory: 7804kb
input:
44 610914205 8439854970113 13248568970903 14623020801401 2316814766191 3205672125504 10078115178899 7539695456046 12484204154475 13497460825260 7835114086337 11698023887562 6762333068746 7011150426790 12840842404583 13562207314854 6027965940863 4782566751384 315850736838 8656432700800 1483921364076 ...
output:
0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 1 0 1 688535325
result:
wrong answer 1st numbers differ - expected: '688535325', found: '0'