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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
#88413#5827. 异或图myee80 1226ms70652kbC++116.8kb2023-03-16 10:28:512023-03-16 10:28:52

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-16 10:28:52]
  • 评测
  • 测评结果:80
  • 用时:1226ms
  • 内存:70652kb
  • [2023-03-16 10:28:51]
  • 提交

answer

// 传统计数强省的 998244353 震撼
// 异或卷积呐。
// 集合幂级数呐。

/*
Bell Number:
1
1
2
5
15
52
203
877
4140
21147
115975
678570
4213597
27644437
190899322
1382958545
*/

// 每种等值联通块划分方案的容斥系数为其各部分子图的各联通选法带符号权值积之和之积。
// 先对每个图算出有其带符号权值积之和,容易发现为 1 当且仅当无边。
// 然后枚举最小点所在联通块,容斥掉不连通的情况,得到各个块的各联通选法带符号权值积之和。
// 然后把每个联通块转换成异或卷积形式,显然和联通块中最小值一致,或不对异或值做贡献。
// 可以在联通块最小值处标记该联通块,不对异或值做贡献的可以单独做子集合并 dp。
// 对联通块值为最小值的异或卷积信息如何合并?
// 因为 [0,r) 类型的异或卷积虽支持快速乘法,但不支持快速加法,我们考虑怎么办。
// 容易发现没得办。
// 因此我们写一个 Bell 数级别爆搜即可。
// 判掉 m=0,大概能拿 80pts 左右。
// 哦好像可以做到 O(3^n) 之类的,那没事了(
// 其实就是,把每个联通块最小元素也记入状态,算出方案数。
// 然后把这些最小元素选若干来暴力合并出全集即可。

#include <bits/stdc++.h>
typedef unsigned uint;
typedef unsigned long long ullt;typedef long long llt;
typedef bool bol;typedef char chr;typedef void voi;
typedef double dbl;
template<typename T>bol _min(T&a,T b){return b<a?(a=b,true):false;}
template<typename T>bol _max(T&a,T b){return a<b?(a=b,true):false;}
const ullt Mod=998244353;
struct modint
{
    ullt v;
    modint():v(0){}
    modint(ullt v):v(v%Mod){}
    ullt&operator()(){return v;}
    friend modint operator+(modint a,modint b){return a()+b();}
    friend modint operator-(modint a,modint b){return a()+Mod-b();}
    friend modint operator*(modint a,modint b){return a()*b();}
    modint operator-(){return Mod-v;}
    modint _power(ullt index){
        modint ans(1),base(*this);
        while(index){
            if(index&1)ans*=base;
            base*=base,index>>=1;
        }
        return ans;
    }
    friend modint operator^(modint a,ullt b){return a._power(b);}
    modint inv(){return _power(Mod-2);}
    modint&operator+=(modint b){return*this=*this+b;}
    modint&operator-=(modint b){return*this=*this-b;}
    modint&operator*=(modint b){return*this=*this*b;}
    voi read(){scanf("%llu",&v);}
    voi print(){printf("%llu",v);}
    voi println(){print(),putchar('\n');}
};
using modvec=std::vector<modint>;
using vec=std::vector<std::pair<bol,modint> >;
const ullt Lim=1llu<<60;
const uint Bit=60;
ullt Len[Bit+5];
vec get(ullt r){
    vec Ans(Bit+1);
    for(uint i=0;i<Bit;i++)if(r>=Len[i])Ans[i]={0,1},r-=Len[i];else Ans[i]={1,0};
    Ans[Bit]={0,r?1:0};
    return Ans;
}
vec mul(vec A,vec B){
    modvec UserA(Bit+1),UserB(Bit+1);
    for(uint i=0;i<=Bit;i++)UserA[i]=A[i].second*Len[i],UserB[i]=B[i].second*Len[i];
    for(uint i=Bit;i;i--)UserA[i-1]+=UserA[i],UserB[i-1]+=UserB[i];
    vec Ans(Bit+1);
    modint v;
    for(uint i=0;i<Bit;i++){
        Ans[i]={A[i].first==B[i].first,A[i].second*UserB[i+1]+B[i].second*UserA[i+1]+v};
        v+=A[i].second*B[i].second*Len[i];
    }
    Ans[Bit]={0,A[Bit].second*B[Bit].second+v};
    return Ans;
}
modint query(vec A,ullt p){
    for(uint i=0;i<Bit;i++)if((p>=Len[i])==A[i].first)return A[i].second;else if(p>=Len[i])p-=Len[i];
    return A[Bit].second;
}
ullt A[25],c;
uint E[25],Log2[1u<<15|1],Pop2[1u<<15|1];
modint Dp[1u<<15|1],Dp2[1u<<15|1];
inline uint lowbit(uint v){return v&-v;}
modint T[15][16][1u<<15|1],User[1u<<15|1];
modint Q[16][1u<<15|1],G[1u<<15|1],W[1u<<15|1];
int main()
{
#ifdef MYEE
    freopen("QAQ.in","r",stdin);
    freopen("QAQ.out","w",stdout);
#else
#endif
    Len[Bit]=1;for(uint i=0;i<Bit;i++)Len[i]=Lim>>(i+1);
    uint n,m;scanf("%u%u%llu",&n,&m,&c);
    {
        static uint P[25];for(uint i=0;i<n;i++)scanf("%llu",A+i),P[i]=i,A[i]++;
        std::sort(P,P+n,[&](uint a,uint b){return A[a]<A[b];}),std::sort(A,A+n);
        std::vector<uint>User(n);
        for(uint i=0;i<n;i++)User[P[i]]=i;
        for(uint i=0;i<n;i++)P[i]=User[i];
        for(uint i=0,u,v;i<m;i++)scanf("%u%u",&u,&v),u=P[u-1],v=P[v-1],E[u]|=1u<<v,E[v]|=1u<<u;
        // for(uint i=0;i<n;i++)
        //     printf("%u%c",P[i]+1," \n"[i==n-1]);
        // for(uint i=0;i<n;i++)for(uint j=i+1;j<n;j++)
        //     if(E[i]>>j&1)printf("%u %u\n",i+1,j+1);
        // for(uint i=0;i<n;i++)
        //     printf("%llu\n",A[i]);
    }
    if(!m){
        vec a=get(1);
        for(uint i=0;i<n;i++)a=mul(a,get(A[i]));
        query(a,c).println();
        return 0;
    }
    for(uint i=0;i<=n;i++)Log2[1u<<i]=i;
    for(uint i=0;i<(1u<<n);i++){
        bol ok=1;for(uint j=0;j<n;j++)if(i>>j&1)ok&=!(i&E[j]);
        if(ok&&i)Dp[i]=1;
        Dp2[i]=Dp[i];
        for(uint j=(i-1)&i;j;j=(j-1)&i)if(lowbit(j)==lowbit(i))
            Dp2[i]-=Dp2[j]*Dp[i^j];
        Pop2[i]=Pop2[i>>1]+(i&1);
        if(Pop2[i]&1)T[Log2[lowbit(i)]][Pop2[i]-1][i^lowbit(i)]=Dp2[i];
        else User[i]=Dp2[i]*A[Log2[lowbit(i)]];
    }
    // for(uint i=0;i<(1u<<n);i++)Dp[i].print(),putchar(" \n"[i==(1u<<n)-1]);
    // for(uint i=0;i<(1u<<n);i++)Dp2[i].print(),putchar(" \n"[i==(1u<<n)-1]);
    // for(uint i=0;i<(1u<<n);i++)if(Dp2[i]())printf("%u:%llu\n",i,Dp2[i]());
    for(uint i=0;i<n;i++)for(uint j=0;j<n-i;j++)
        for(uint k=0;k<n;k++)for(uint l=0;l<(1u<<n);l++)if(l>>k&1)
            T[i][j][l]+=T[i][j][l^(1u<<k)];
    modint ans;
    for(uint i=0;i<(1u<<n);i++){
        vec a=get(1);
        for(uint j=0;j<n;j++)if(i>>j&1)a=mul(a,get(A[j]));
        G[i]=query(a,c);
    }
    W[0]=1;
    // for(uint i=0;i<(1u<<n);i++)G[i].print(),putchar(" \n"[i==(1u<<n)-1]);
    for(uint i=1;i<(1u<<n);i++)for(uint j=i;j;j=(j-1)&i)
        if(lowbit(i)==lowbit(j))W[i]+=W[i^j]*User[j];
    // for(uint i=0;i<(1u<<n);i++)User[i].print(),putchar(" \n"[i==(1u<<n)-1]);
    // for(uint i=0;i<(1u<<n);i++)W[i].print(),putchar(" \n"[i==(1u<<n)-1]);
    for(uint i=0;i<(1u<<n);i++){
        uint t=(1u<<n)-i-1;
        uint cnt=Pop2[t];
        for(uint j=t;~j;j=j-1){
            Q[0][j&=t]=1;for(uint k=1;k<=cnt;k++)Q[k][j]=0;
            for(uint p=0;p<n;p++)if(i>>p&1)for(uint k=cnt;~k;k--){
                Q[k][j]*=T[p][0][j];
                for(uint q=1;q<=k;q++)Q[k][j]+=T[p][q][j]*Q[k-q][j];
            }
        }
        for(uint k=0;k<=cnt;k++)for(uint a=0;a<n;a++)if(t>>a&1)
            for(uint j=t;j;j=(j-1)&t)if(j>>a&1)
                Q[k][j]-=Q[k][j^(1u<<a)];
        modint wil;
        for(uint j=t;~j;j=j-1)j&=t,wil+=W[j^t]*Q[Pop2[j]][j];
        ans+=wil*G[i];
    }
    ans.println();
    return 0;
}

// g++ graph.cpp -o graph -std=c++11 -DMYEE -Wall

详细

Subtask #1:

score: 20
Accepted

Test #1:

score: 20
Accepted
time: 14ms
memory: 70568kb

input:

4 6 2
7 11 14 0
1 2
1 3
2 3
2 4
4 1
4 3

output:

44

result:

ok 1 number(s): "44"

Test #2:

score: 0
Accepted
time: 3ms
memory: 70396kb

input:

4 4 6
12 14 14 5
4 2
1 4
3 2
1 2

output:

798

result:

ok 1 number(s): "798"

Test #3:

score: 0
Accepted
time: 11ms
memory: 70504kb

input:

3 3 2
10 4 11
2 1
3 2
1 3

output:

33

result:

ok 1 number(s): "33"

Test #4:

score: 0
Accepted
time: 15ms
memory: 70364kb

input:

4 0 4
9 8 5 2

output:

148

result:

ok 1 number(s): "148"

Test #5:

score: 0
Accepted
time: 12ms
memory: 70568kb

input:

5 6 14
12 15 13 13 12
3 1
2 4
2 5
2 1
5 3
4 5

output:

21337

result:

ok 1 number(s): "21337"

Test #6:

score: 0
Accepted
time: 4ms
memory: 70488kb

input:

4 5 5
5 2 4 13
2 1
3 4
1 4
4 2
3 2

output:

42

result:

ok 1 number(s): "42"

Test #7:

score: 0
Accepted
time: 12ms
memory: 70392kb

input:

4 4 3
13 7 8 12
4 1
3 1
2 4
4 3

output:

552

result:

ok 1 number(s): "552"

Test #8:

score: 0
Accepted
time: 22ms
memory: 70500kb

input:

4 2 12
1 12 4 11
2 1
3 1

output:

70

result:

ok 1 number(s): "70"

Test #9:

score: 0
Accepted
time: 12ms
memory: 70652kb

input:

5 5 6
10 7 8 2 13
1 5
1 3
2 1
4 3
5 3

output:

1231

result:

ok 1 number(s): "1231"

Test #10:

score: 0
Accepted
time: 8ms
memory: 70584kb

input:

5 7 9
6 7 13 15 12
1 3
5 3
5 2
4 5
4 3
4 1
3 2

output:

6223

result:

ok 1 number(s): "6223"

Test #11:

score: 0
Accepted
time: 4ms
memory: 70364kb

input:

3 0 3
15 7 12

output:

104

result:

ok 1 number(s): "104"

Test #12:

score: 0
Accepted
time: 3ms
memory: 70400kb

input:

3 2 9
10 6 5
1 2
1 3

output:

17

result:

ok 1 number(s): "17"

Test #13:

score: 0
Accepted
time: 17ms
memory: 70420kb

input:

5 5 11
7 9 15 9 9
5 4
5 1
5 2
1 3
3 4

output:

5224

result:

ok 1 number(s): "5224"

Test #14:

score: 0
Accepted
time: 13ms
memory: 70420kb

input:

5 0 12
9 8 14 11 2

output:

3006

result:

ok 1 number(s): "3006"

Test #15:

score: 0
Accepted
time: 15ms
memory: 70420kb

input:

3 1 1
6 10 4
3 1

output:

30

result:

ok 1 number(s): "30"

Subtask #2:

score: 50
Accepted

Dependency #1:

100%
Accepted

Test #16:

score: 50
Accepted
time: 36ms
memory: 70420kb

input:

9 27 705410105529944560
929827299070190972 733413770730537329 473007347105710981 190062421504120247 918561152768663129 196040702922254016 981530663192980241 203295856357272834 337150461958783092
2 8
7 9
8 9
2 3
9 2
2 7
9 5
9 4
4 8
1 7
6 3
6 1
4 1
6 5
2 4
2 1
9 3
9 6
7 3
7 5
5 2
4 5
2 6
3 1
3 8
4 3
8 6

output:

5392583

result:

ok 1 number(s): "5392583"

Test #17:

score: 0
Accepted
time: 20ms
memory: 70420kb

input:

9 7 788762650337246371
605340092851479114 625896945107761227 361131331380167081 572133549445050458 929899192003968010 340514051531987427 690728985364969400 268762741220048006 818120252827139346
5 8
9 6
6 1
1 9
9 8
5 1
4 5

output:

35237078

result:

ok 1 number(s): "35237078"

Test #18:

score: 0
Accepted
time: 11ms
memory: 70372kb

input:

7 8 968166787047166534
945734997493219809 465616677643913237 530128109571749460 717120283671096308 118646732725835921 510958884109370001 797022604947155276
5 2
4 7
1 2
6 5
4 2
4 6
1 6
6 3

output:

133871438

result:

ok 1 number(s): "133871438"

Test #19:

score: 0
Accepted
time: 335ms
memory: 70400kb

input:

12 21 341964498832651322
422448536649714733 488538974423366199 893293448611252565 879334133559023407 13516625885288091 43377983230712374 263189254162337644 474056776923289355 540904774976211471 103364876621830299 515157013276720499 213857038587555252
12 9
8 3
1 9
1 7
3 1
8 11
11 10
6 10
6 1
10 2
7 9...

output:

296076062

result:

ok 1 number(s): "296076062"

Test #20:

score: 0
Accepted
time: 103ms
memory: 70548kb

input:

11 42 215284372701527433
670445786006000260 969876209382224733 248721347029697734 375741447316879814 840434941395805804 187091598433077755 126574401069916039 764298539206353847 750906714570719526 387387869969339518 713140316419888823
1 10
2 5
1 7
4 11
3 11
2 7
4 5
9 5
1 6
3 4
10 9
11 9
3 7
2 1
8 11
...

output:

861118590

result:

ok 1 number(s): "861118590"

Test #21:

score: 0
Accepted
time: 21ms
memory: 70508kb

input:

7 20 619868500075052677
653541655679358091 619279335581334164 74945438024390700 772996180610853550 636253173293891586 125935970032544337 454311587629767538
7 3
4 5
6 7
2 7
4 2
5 3
4 6
2 6
7 4
5 7
2 5
6 3
5 1
2 3
3 4
1 7
2 1
1 3
5 6
4 1

output:

396474896

result:

ok 1 number(s): "396474896"

Test #22:

score: 0
Accepted
time: 1182ms
memory: 70472kb

input:

13 1 655058659126783551
220930961455414900 363602338013759573 443737606888655227 137555247528320912 492558319379424931 930253239754276705 727679308735300884 787033056632957722 29595553176095069 586820353385061840 342786039873677428 141912073483259823 800159879032310691
4 9

output:

504321097

result:

ok 1 number(s): "504321097"

Test #23:

score: 0
Accepted
time: 20ms
memory: 70412kb

input:

8 20 301184670062888420
242892377877643484 3476501038317923 44616426924438256 159029640149965614 908446126450853551 608694214104046729 348038770876101788 993564634039215219
5 7
3 8
3 4
8 5
4 6
7 1
6 7
2 4
7 4
3 6
1 2
8 4
8 1
5 4
7 8
1 6
2 5
3 1
8 2
1 4

output:

4724341

result:

ok 1 number(s): "4724341"

Test #24:

score: 0
Accepted
time: 7ms
memory: 70420kb

input:

6 11 392024297517399665
88458611428053942 931089704347713876 2933742226147026 827268679955144802 950336975252592744 47151195847292633
3 5
6 4
5 4
2 3
6 5
5 1
1 4
5 2
2 4
1 3
3 4

output:

708968421

result:

ok 1 number(s): "708968421"

Test #25:

score: 0
Accepted
time: 94ms
memory: 70516kb

input:

11 37 271739451037214460
146061942241336421 138038807419718309 876032468776218591 790840232774594443 931090305572222272 446985261776711380 111295394912463090 788835018487784052 490717555570673932 654796069953431186 30534002965260366
10 6
6 7
4 7
2 5
6 4
2 10
3 4
10 7
2 11
4 9
9 7
6 11
1 11
1 9
9 10
...

output:

405837840

result:

ok 1 number(s): "405837840"

Test #26:

score: 0
Accepted
time: 3ms
memory: 70348kb

input:

7 20 603717808363574959
741883086260303904 498239876637304614 692656406513867207 11452440849146981 847091012107531819 751030904432703677 42306162304440584
7 4
3 5
3 1
7 3
2 1
2 4
7 2
5 6
5 7
4 5
1 6
3 2
1 5
6 3
2 5
3 4
4 6
6 2
7 1
4 1

output:

409098870

result:

ok 1 number(s): "409098870"

Test #27:

score: 0
Accepted
time: 12ms
memory: 70432kb

input:

7 14 276788100956613806
955375196371523555 993133468996644095 851781246244565785 406378187351709927 103400146137304775 3339166120945122 878092054213365193
6 5
3 4
6 3
2 7
1 4
6 1
7 6
3 7
4 2
4 6
1 7
1 5
4 7
3 2

output:

424423580

result:

ok 1 number(s): "424423580"

Test #28:

score: 0
Accepted
time: 101ms
memory: 70384kb

input:

11 42 703121070332973172
453838237041390989 7923458002585165 10157854185578313 428694248761966896 99567674522515040 887169792891871053 685704683091155403 1114809813572478 44938950664511738 433569272578015242 743893677718957742
10 2
5 4
7 3
5 9
10 7
6 1
9 7
5 7
8 6
2 5
2 11
1 10
3 5
4 3
4 1
5 11
11 7...

output:

266801727

result:

ok 1 number(s): "266801727"

Test #29:

score: 0
Accepted
time: 27ms
memory: 70428kb

input:

9 30 557579472218086545
389315525875489778 580024732015329877 122856826128791692 353894892064461662 593243941610294518 367724855679451396 93186374563462910 566339146552758642 503166485328553628
1 2
6 4
7 6
7 2
5 7
6 2
7 3
5 1
9 2
5 6
8 3
1 9
2 3
7 4
6 3
7 8
4 5
8 9
9 7
1 7
6 9
1 4
4 3
2 4
2 5
1 6
8 ...

output:

949276406

result:

ok 1 number(s): "949276406"

Test #30:

score: 0
Accepted
time: 16ms
memory: 70360kb

input:

8 3 145845032992032081
128648457003011001 90366745088645729 628278583922604945 949868219248781702 205548014539121837 573918524435421016 330291118265768760 961310581410805998
4 6
8 3
8 5

output:

522900734

result:

ok 1 number(s): "522900734"

Test #31:

score: 0
Accepted
time: 1183ms
memory: 70468kb

input:

13 75 122013601152601020
102573945790661441 119801481456740433 918257918904279930 290942994898157004 263309413587975225 176964463128718582 761601089984502811 634241033261747054 571682868717366221 514639207383578779 104093621484438574 329127701356038973 75081873200425743
12 10
8 5
6 8
9 10
3 11
11 7
...

output:

692554911

result:

ok 1 number(s): "692554911"

Test #32:

score: 0
Accepted
time: 1226ms
memory: 70636kb

input:

13 64 329467924442467878
646292845363466402 340430390655540423 886810138845116533 39936097409539153 913432466960561002 602450520208761333 373828261638409015 667657474356136433 785467436052153428 146484939478409777 905868211050101145 17011363096280257 145760138946384094
12 11
5 7
6 2
7 4
7 11
13 2
3 ...

output:

649034073

result:

ok 1 number(s): "649034073"

Test #33:

score: 0
Accepted
time: 1199ms
memory: 70396kb

input:

13 66 384520332466220624
456964675653769808 680045069530079454 274948142501386066 134398246845947863 670356535886270750 178282565665823320 512794756447850828 50252545496862865 541422634474563231 961120209571547713 371355651307501836 186254550272900976 966822162226229042
8 13
13 1
2 4
2 1
6 10
8 9
4 ...

output:

658091946

result:

ok 1 number(s): "658091946"

Test #34:

score: 0
Accepted
time: 1199ms
memory: 70468kb

input:

13 65 572440567840425592
511814115740732885 663983644274559529 290152050813440086 965100648598673086 30857576447532207 38983595600942050 44868781971516033 852778926994745179 689837263233427103 463859563825515127 374239587300029375 570685282674371777 524325090774617958
13 9
9 1
8 11
7 2
7 8
7 13
5 7
...

output:

143909590

result:

ok 1 number(s): "143909590"

Test #35:

score: 0
Accepted
time: 325ms
memory: 70592kb

input:

12 47 770433712593606285
440182952918236765 194832650378037376 697219961142716540 563570699573734184 269618082361587938 55268899053737043 485296751296674284 998533476123971567 111577714986287643 348822154801743257 627132722657408754 18059004572680409
8 6
12 1
1 8
7 9
11 1
9 10
9 6
2 5
6 5
5 1
10 3
6...

output:

775067582

result:

ok 1 number(s): "775067582"

Test #36:

score: 0
Accepted
time: 346ms
memory: 70452kb

input:

12 55 4026650049374118
857996118172858941 88567476008765118 124350619367959778 367372126789516747 162295446852695236 401458281846570045 560683838805908801 180182810302793022 266620617912155367 15471844114452206 627626552161917860 304587113952804811
10 7
5 4
7 4
5 10
7 2
9 10
9 1
12 3
9 12
4 3
3 7
6 ...

output:

215932540

result:

ok 1 number(s): "215932540"

Test #37:

score: 0
Accepted
time: 1190ms
memory: 70516kb

input:

13 72 103008731614274418
363442214120251460 50427867905538777 595260092919904639 373828918204231160 590436074764227318 232099477938107397 236426318819808960 244361286929299921 731166249407001339 112590684380573953 704728975731111649 956279851373121643 397374860922230268
9 3
1 7
5 8
11 9
8 11
5 7
12 ...

output:

187894198

result:

ok 1 number(s): "187894198"

Test #38:

score: 0
Accepted
time: 1184ms
memory: 70476kb

input:

13 67 301754072747398126
265229440645252605 147893078440826980 324796610061770660 551587001457543179 760667349634888702 663754795357245527 13662180881282347 505883171963085228 700459283676605999 680916615477968075 346754098755067485 36257491903674274 90955993330063055
11 10
12 3
10 9
1 5
5 3
7 3
11 ...

output:

610716167

result:

ok 1 number(s): "610716167"

Test #39:

score: 0
Accepted
time: 1165ms
memory: 70420kb

input:

13 69 75403304803046764
425586910005736592 969627160068708952 8405841780640838 200628822715657197 443919674658362813 814581495306742342 380276028841733301 16989707177466348 680330714625880719 558713286113730870 9955498253036428 725789604884677928 365353215214093400
3 4
3 6
12 5
3 10
4 1
3 5
3 2
11 9...

output:

260792359

result:

ok 1 number(s): "260792359"

Test #40:

score: 0
Accepted
time: 325ms
memory: 70380kb

input:

12 56 869512898929058396
754220212722812283 166889637803908373 104797582558497589 528115017624931431 615539035822791815 118783102898342804 693208985325316886 154703682974820603 72071186025455087 848518128787570353 935988349833056226 57807088687352158
5 2
3 5
4 8
11 1
7 3
2 3
8 2
12 1
8 1
7 6
1 9
12 ...

output:

243805672

result:

ok 1 number(s): "243805672"

Test #41:

score: 0
Accepted
time: 7ms
memory: 70364kb

input:

4 0 266137408554724708
132280826017951321 850283254994779845 125636870147394639 582930455427494327

output:

774985478

result:

ok 1 number(s): "774985478"

Test #42:

score: 0
Accepted
time: 15ms
memory: 70552kb

input:

5 0 227375183671684403
838078019228775407 525418186087747640 57761599398559037 631551466152686290 559180159956140299

output:

767267818

result:

ok 1 number(s): "767267818"

Test #43:

score: 0
Accepted
time: 14ms
memory: 70500kb

input:

10 0 12788671132569757
97604854595547116 837007520784391111 15665557093666358 394749031141258240 72625652061598325 201830158728703466 9652200671985894 541584810371802861 840666350721214277 28209319880081489

output:

611951263

result:

ok 1 number(s): "611951263"

Test #44:

score: 0
Accepted
time: 8ms
memory: 70420kb

input:

6 0 123695341588462971
746972473676804132 975557135115047878 105838726424604358 739722922748391586 815745791731060342 436086535778078347

output:

964600451

result:

ok 1 number(s): "964600451"

Test #45:

score: 0
Accepted
time: 15ms
memory: 70488kb

input:

10 0 514811793088171031
59031476825104549 506730165360872294 201622444164879971 79022523342161951 806946332677854690 982921196100386080 615442285110985500 66715232445866401 85195983895901861 934202056826291570

output:

997996310

result:

ok 1 number(s): "997996310"

Test #46:

score: 0
Accepted
time: 14ms
memory: 70364kb

input:

3 0 217195448970700851
522826994884125301 493574146457808013 878001063403190253

output:

813992307

result:

ok 1 number(s): "813992307"

Subtask #3:

score: 10
Accepted

Test #47:

score: 10
Accepted
time: 11ms
memory: 70484kb

input:

14 0 731833687287532167
157552918690640051 900457311668526045 111217720157614956 84140984111060473 814012186135880499 784848789620248379 958953377683017264 105083874298571687 104921429970878846 44983041675142735 871013110538758030 686733907990421995 98063590462078176 495161493555059993

output:

231790380

result:

ok 1 number(s): "231790380"

Test #48:

score: 0
Accepted
time: 15ms
memory: 70340kb

input:

11 0 101435837408688522
638776638580507479 933944392115323974 19098604312360490 142362319980029593 419910251764515410 275591812677260089 770239593400917018 928344484461634421 67340905784404712 378109786925249078 110881245457449811

output:

242383534

result:

ok 1 number(s): "242383534"

Test #49:

score: 0
Accepted
time: 8ms
memory: 70420kb

input:

9 0 100988561775675251
622570387572403506 684352103903274038 784649864569409753 270298495621205212 56183537059869110 346856482529145989 86639702870530669 607198038565138736 14747634008501988

output:

20893166

result:

ok 1 number(s): "20893166"

Test #50:

score: 0
Accepted
time: 16ms
memory: 70364kb

input:

10 0 839910859917247463
611237879350518457 292219463776059962 548211857317940894 822255554598388425 335628456629874391 774414280870858683 882480367082748768 654587410087321403 74330774886125511 22894883233341926

output:

61697734

result:

ok 1 number(s): "61697734"

Subtask #4:

score: 0
Time Limit Exceeded

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Test #51:

score: 0
Time Limit Exceeded

input:

14 40 324474725199921837
233553584803573447 460606447826448090 455167380666511997 30439560268635822 973104332361054238 83352489208158890 72631589045191661 789358939245182190 304440576655964007 572557927877742909 78163879753806683 923913124140376584 930570695489694619 425161733205954576
6 1
14 12
9 4...

output:


result: