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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#106897#6395. Equation Discoveringwhatever#AC ✓123ms151724kbC++172.8kb2023-05-19 17:55:342023-05-19 17:55:34

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.
  • [2023-05-19 17:55:34]
  • 评测
  • 测评结果:AC
  • 用时:123ms
  • 内存:151724kb
  • [2023-05-19 17:55:34]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

#define rep(i,a,b) for(int i=(a),i##end=(b);i<=i##end;++i)
#define per(i,a,b) for(int i=(a),i##end=(b);i>=i##end;--i)
mt19937 Rnd(chrono::high_resolution_clock::now().time_since_epoch().count());
template<typename T>void chkmax(T&x,const T&y){if(x<y)x=y;}
template<typename T>void chkmin(T&x,const T&y){if(y<x)x=y;}

#define pb push_back
#define ALL(x) (x).begin(),(x).end()
#define mem(x) memset((x),0,sizeof(x))

typedef double db;
typedef long long ll;
typedef vector<int>vi;
typedef pair<int,int>pii;

typedef unsigned u32;
typedef unsigned uint;
typedef unsigned long long u64;

namespace orzjk{
  const int SZ=1e6;
  char buf[SZ],*p1=buf,*p2=buf;
  char nc(){
    return p1==p2&&(p2=(p1=buf)+fread(buf,1,SZ,stdin),p1==p2)?EOF:*p1++;
  }
  char fub[SZ],*p3=fub,*p4=fub+SZ;
  void pc(char c){
    p3==p4&&(fwrite(fub,1,SZ,stdout),p3=fub);
    *p3++=c;
  }
  void flush(){
    fwrite(fub,1,p3-fub,stdout),p3=fub;
  }
}
using orzjk::nc;
using orzjk::pc;

//#define nc getchar
//#define pc putchar

int read(){
  int x=0,f=1;char c=nc();
  while(c<48)c=='-'&&(f=-1),c=nc();
  while(c>47)x=x*10+(c^48),c=nc();
  return x*f;
}
template<class T>void write(T x){
  static char st[41];
  if(!x)return pc(48),void();
  char*p=st;
  if(x<0)x=-x,pc('-');
  for(;x;x/=10)*p++=x%10|48;
  do{
    pc(*--p);
  }while(p!=st);
}

//const int P=1e9+7;
const int P=998244353;
int qp(int a,int k){
  int res=1;for(;k;k>>=1,a=1ll*a*a%P)if(k&1)res=1ll*res*a%P;return res;
}

struct node{
  string str;array<db,20>val;
};
vector<node>buk[10];

void solve(){
  int m;
  cin>>m;
  array<db,20>x,y;
  rep(i,0,m-1)cin>>x[i]>>y[i];
  
  buk[0].pb({"x",x});
  rep(_,1,9){
    array<db,20>c;
    for(auto[s,a]:buk[_-1]){
      rep(i,0,m-1)c[i]=sin(a[i]);
      buk[_].pb({"sin("+s+")",c});
      rep(i,0,m-1)c[i]=cos(a[i]);
      buk[_].pb({"cos("+s+")",c});
    }
    rep(l,0,_-2){
      int r=_-2-l;
      for(auto[s,a]:buk[l])for(auto[t,b]:buk[r]){
        rep(i,0,m-1)c[i]=a[i]+b[i];
        buk[_].pb({"("+s+"+"+t+")",c});
        rep(i,0,m-1)c[i]=a[i]-b[i];
        buk[_].pb({"("+s+"-"+t+")",c});
        rep(i,0,m-1)c[i]=a[i]*b[i];
        buk[_].pb({"("+s+"*"+t+")",c});
        bool flg=1;
        rep(i,0,m-1)c[i]=a[i]/b[i],flg&=fabs(b[i])>0.01;
        if(flg)
        buk[_].pb({"("+s+"/"+t+")",c});
      }
    }
  }
  
  rep(_,0,9){
    for(auto[s,f]:buk[_]){
      bool flg=1;
      rep(i,0,m-1)flg&=fabs(f[i]-y[i])/max(1.0,fabs(y[i]))<1e-3;
      if(flg){
        cout<<s<<endl;
        exit(0);
      }
    }
  }
}

signed main(){
//  freopen(".in","r",stdin);
//  freopen(".out","w",stdout);
//  int T;cin>>T;while(T--)solve();
  solve();
  orzjk::flush();
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 99ms
memory: 150680kb

input:

3
1.000000 1.000000
2.000000 4.000000
3.000000 9.000000

output:

(x*x)

result:

ok great!!

Test #2:

score: 0
Accepted
time: 105ms
memory: 150756kb

input:

3
0.618000 1.517072
0.314000 3.132637
1.414000 0.494016

output:

(sin(x)/(x*x))

result:

ok great!!

Test #3:

score: 0
Accepted
time: 111ms
memory: 150612kb

input:

5
77.685777 233.057331
-66.445083 -199.335249
79.966717 239.900151
84.982130 254.946390
-31.528900 -94.586700

output:

(x+(x+x))

result:

ok great!!

Test #4:

score: 0
Accepted
time: 92ms
memory: 151724kb

input:

5
25.032427 -0.100652
38.727324 1.658518
27.684334 -0.669555
64.282391 8.275303
52.640700 -0.962660

output:

(sin(x)/cos(x))

result:

ok great!!

Test #5:

score: 0
Accepted
time: 99ms
memory: 150676kb

input:

5
78.611917 -0.992212
-29.857271 1.011993
-75.513655 1.006611
68.512394 1.145128
7.961096 0.881661

output:

(cos(x)+(sin(x)*sin(x)))

result:

ok great!!

Test #6:

score: 0
Accepted
time: 88ms
memory: 150656kb

input:

5
-78.733375 0.503570
-20.187183 0.735779
-38.984992 0.730890
47.859232 0.622831
-19.657164 0.641512

output:

sin(sin(cos(cos(x))))

result:

ok great!!

Test #7:

score: 0
Accepted
time: 97ms
memory: 151516kb

input:

5
3.241091 -32.628130
-83.514144 86.463432
33.586619 40.691607
41.123543 -147.352644
26.896326 27.404018

output:

(x/sin(x))

result:

ok great!!

Test #8:

score: 0
Accepted
time: 123ms
memory: 150196kb

input:

20
-4.908422 -0.693287
3.569189 0.328182
1.946572 -0.667466
6.515336 -0.829948
-1.394076 0.752980
6.722989 0.831881
1.241795 0.835231
-2.443177 -0.143098
-4.180762 -0.803482
1.511247 0.589509
0.627755 0.554244
-1.865604 -0.470029
-4.756347 -0.656984
1.850611 -0.426016
6.580133 -0.474416
6.861815 -0....

output:

sin(sin((x/sin((x/(x*x))))))

result:

ok great!!

Test #9:

score: 0
Accepted
time: 107ms
memory: 150572kb

input:

20
76.797930 0.000002
-76.263778 -0.000002
55.449039 0.000006
10.462093 0.000873
-78.051671 -0.000002
-52.781249 -0.000007
47.053973 0.000010
96.629212 0.000001
-40.697847 -0.000015
31.141805 0.000033
-87.087384 -0.000002
-54.709885 -0.000006
-65.741847 -0.000004
-87.430820 -0.000001
9.420126 0.0011...

output:

(x/(x*(x*(x*x))))

result:

ok great!!

Test #10:

score: 0
Accepted
time: 106ms
memory: 150416kb

input:

20
24.490647 23.891773
17.327799 16.329001
21.204241 21.912414
83.489542 84.461510
-55.546573 -54.703972
-7.608368 -8.578356
-3.286697 -3.142101
-66.606831 -66.014954
-44.896454 -45.688502
97.541741 97.389961
-59.986043 -59.694554
57.723989 58.646803
-99.857351 -99.233536
29.134673 28.376609
-98.668...

output:

(x+sin(x))

result:

ok great!!

Test #11:

score: 0
Accepted
time: 92ms
memory: 147428kb

input:

20
89.594917 88.596688
-45.187625 -44.253669
97.451471 97.513530
35.078537 35.576300
82.504351 81.771201
-49.755211 -50.243625
-23.019693 -23.876242
-45.247155 -44.293590
75.324114 75.398156
78.533049 78.526282
99.112156 100.100628
31.983437 31.445903
71.251578 70.407388
-44.178279 -43.983549
-25.28...

output:

(x-sin(x))

result:

ok great!!

Test #12:

score: 0
Accepted
time: 100ms
memory: 151424kb

input:

20
16.664144 7.850741
44.708237 22.196248
-10.852343 1.533223
-42.713221 -12.119419
-27.815914 -11.038511
31.908696 13.299065
-82.394044 40.761558
-37.317157 -12.907073
-35.369997 17.659068
93.569121 -45.722539
-30.589159 -15.242258
16.180069 6.553209
56.572831 1.366451
99.591187 -47.440823
12.73229...

output:

(x*(sin(x)*cos(x)))

result:

ok great!!

Test #13:

score: 0
Accepted
time: 118ms
memory: 149428kb

input:

20
-583.519562 0.000000
-169.653469 0.000000
372.798856 0.000000
180.084282 0.000000
139.388742 0.000000
-648.300263 0.000000
-859.523046 0.000000
-267.278551 0.000000
635.554372 0.000000
299.925737 0.000000
-628.299469 0.000000
169.393099 0.000000
556.144161 0.000000
-881.876627 0.000000
328.692044...

output:

(x-x)

result:

ok great!!

Test #14:

score: 0
Accepted
time: 111ms
memory: 150400kb

input:

20
746.491049 746.491049
414.031997 414.031997
-975.051138 -975.051138
45.313068 45.313068
-181.090458 -181.090458
119.607074 119.607074
245.794647 245.794647
-794.156219 -794.156219
461.647608 461.647608
-392.604379 -392.604379
384.522118 384.522118
-461.749513 -461.749513
766.462890 766.462890
244...

output:

x

result:

ok great!!

Test #15:

score: 0
Accepted
time: 113ms
memory: 150020kb

input:

20
4.278335 0.092599
3.559350 0.559919
-2.517239 0.403581
-0.955317 0.182475
3.048015 0.888213
-0.638367 0.393205
-2.188885 0.183959
-0.367275 0.597938
1.106453 0.948186
0.339096 0.971773
-0.678258 0.364003
4.364111 0.060002
-0.671364 0.369012
-2.777257 0.600136
1.617698 0.909755
-3.400784 0.950952
...

output:

sin((sin(x)+(x/x)))

result:

ok great!!

Test #16:

score: 0
Accepted
time: 113ms
memory: 149044kb

input:

20
3.692126 -0.260752
0.663419 1.200876
1.167172 0.874743
4.852602 0.631308
3.373109 -0.334749
4.749943 0.529545
-2.549440 -0.245748
-1.158832 0.881804
4.115764 -0.040747
-3.401216 -0.330886
-4.320685 0.119451
-0.070540 1.332133
-4.666465 0.446117
-4.720184 0.499803
-1.731319 0.332854
4.232513 0.046...

output:

(sin(cos(x))+sin(sin(cos((x/x)))))

result:

ok great!!

Test #17:

score: 0
Accepted
time: 98ms
memory: 150456kb

input:

20
1.462467 0.804429
-2.922001 0.192241
4.580542 -0.620639
-0.475001 -0.799291
-1.988595 -0.234001
1.262913 0.840075
-3.176510 -0.034797
2.030387 0.180297
-3.244547 -0.099928
-3.321420 -0.164361
-0.538138 -0.818609
2.485817 -0.209990
-0.282936 -0.652106
0.964792 0.840607
-1.300754 -0.837872
4.323400...

output:

sin(sin((sin(x)+sin(sin((x+x))))))

result:

ok great!!

Test #18:

score: 0
Accepted
time: 62ms
memory: 82100kb

input:

20
-1.290592 0.818752
0.639318 0.516086
-4.576452 0.791075
2.349231 0.829843
3.053369 0.646833
-4.276424 0.836563
-4.295090 0.835111
1.704429 0.790551
1.694925 0.788364
0.763954 0.527671
-0.477936 0.769603
0.395468 0.525360
0.686854 0.519231
-1.940048 0.637497
2.188388 0.840879
1.028990 0.584344
3.9...

output:

sin(cos(sin((x+cos((x-x))))))

result:

ok great!!

Test #19:

score: 0
Accepted
time: 96ms
memory: 150612kb

input:

20
-0.425664 0.425664
5.789130 -5.789130
-3.787451 3.787451
0.301151 -0.301151
-8.592688 8.592688
2.669073 -2.669073
5.308311 -5.308311
-0.139985 0.139985
-5.857648 5.857648
-4.992568 4.992568
6.105319 -6.105319
-3.765244 3.765244
5.912188 -5.912188
-6.224392 6.224392
-0.543340 0.543340
3.434037 -3....

output:

(x-(x+x))

result:

ok great!!

Test #20:

score: 0
Accepted
time: 116ms
memory: 151100kb

input:

20
466.316736 -0.978078
-899.828376 0.971830
493.698428 0.451443
543.034476 -0.444891
547.435563 -0.716269
-477.216617 -0.300738
397.144177 -0.964489
-215.994986 0.699650
-125.191685 -0.454687
-278.649888 0.814495
958.350526 0.164022
-505.445050 0.344182
-930.587439 0.625688
397.543136 -0.991345
-25...

output:

sin((x-(x+x)))

result:

ok great!!

Test #21:

score: 0
Accepted
time: 73ms
memory: 83084kb

input:

20
999.999999 0.987127
-999.999999 0.987127
100.000001 -0.333949
-100.000001 -0.333949
999.999998 -0.829877
-999.999998 -0.829877
512.000001 -0.871928
-512.000001 -0.871928
511.999999 -0.985382
-511.999999 -0.985382
0.000000 0.000000
0.000001 0.000000
-0.000001 0.000000
0.180000 0.001050
-0.180000 0...

output:

sin((x*(x*(x*x))))

result:

ok great!!

Test #22:

score: 0
Accepted
time: 71ms
memory: 85364kb

input:

20
0.009999 0.914653
0.009999 0.914653
0.009999 0.914653
0.009999 0.914653
0.009999 0.914653
0.009999 0.914653
0.009999 0.914653
1.000000 0.914653
1.000000 0.914653
2.005000 0.914653
2.005000 0.914653
3.000000 0.914653
3.000000 0.914653
0.009999 0.914653
0.009999 0.914653
0.009999 0.914653
0.009999 ...

output:

cos(cos(((cos(x)+cos(x))/cos(x))))

result:

ok great!!

Test #23:

score: 0
Accepted
time: 77ms
memory: 149428kb

input:

1
31.424306 31.456129

output:

(x+sin(x))

result:

ok great!!

Test #24:

score: 0
Accepted
time: 122ms
memory: 149736kb

input:

20
-29.440025 807.835022
19.414601 415.755934
11.492851 155.071326
18.966989 397.680650
3.027310 15.219226
-4.525550 11.429503
-7.906286 46.696786
-21.105731 403.240419
16.717653 312.915228
25.349563 693.299470
28.071737 844.165892
28.141608 848.233317
-26.371446 642.710272
-13.802857 162.913147
-23...

output:

(x+(x+(x*x)))

result:

ok great!!

Test #25:

score: 0
Accepted
time: 112ms
memory: 150484kb

input:

20
458.594270 0.909297
236.772098 0.909297
679.844094 0.909297
-113.768271 0.909297
-919.765157 0.909297
450.713950 0.909297
-560.756795 0.909297
35.253093 0.909297
-530.329136 0.909297
-846.165765 0.909297
-294.618124 0.909297
595.795664 0.909297
441.685140 0.909297
220.854674 0.909297
-649.606144 ...

output:

sin(((x+x)/x))

result:

ok great!!

Test #26:

score: 0
Accepted
time: 68ms
memory: 85100kb

input:

4
0.009999 1.000000
1.000000 1.000000
2.000000 1.000000
3.000000 1.000000

output:

cos((x-x))

result:

ok great!!

Test #27:

score: 0
Accepted
time: 107ms
memory: 149196kb

input:

4
1.560797 17.311340
1.000000 0.616661
2.000000 -0.369041
3.000000 -0.166678

output:

(cos(sin(x))/(cos(x)*(x+x)))

result:

ok great!!

Test #28:

score: 0
Accepted
time: 100ms
memory: 150228kb

input:

4
0.020000 0.712709
1.000000 0.577284
2.000000 0.964383
3.000000 0.786224

output:

cos(sin((x+cos(sin(cos((x/x)))))))

result:

ok great!!

Test #29:

score: 0
Accepted
time: 95ms
memory: 150540kb

input:

1
10.000000 9.990000

output:

(x*cos((sin(x)/x)))

result:

ok great!!

Test #30:

score: 0
Accepted
time: 106ms
memory: 149884kb

input:

2
0.026592 0.026593
4.000000 260.000000

output:

(x+(x*(x*(x*x))))

result:

ok great!!

Test #31:

score: 0
Accepted
time: 95ms
memory: 148884kb

input:

20
-816.944077 0.750063
364.252903 0.749797
377.702803 0.739860
-64.648254 0.723984
960.420578 0.734135
876.304536 0.749578
-718.016803 0.722938
-720.680010 0.725173
669.591341 0.746462
-835.716345 0.750360
611.456898 0.727346
-401.888640 0.749253
-59.913119 0.749372
-421.048989 0.750298
495.542911 ...

output:

cos(cos(cos(cos(cos(cos(cos(cos(cos(x)))))))))

result:

ok great!!

Test #32:

score: 0
Accepted
time: 119ms
memory: 151048kb

input:

20
-966.243761 0.499984
-775.541582 -0.343886
665.144672 -0.467363
-440.569467 -0.446768
-15.642683 -0.064867
-891.727356 0.368493
-428.695562 -0.501273
-944.141182 -0.501731
265.202915 0.498506
-979.532068 0.423344
-678.301273 0.253567
125.728556 0.064444
-465.052762 -0.095704
-183.526425 -0.498649...

output:

sin(sin(sin(sin(sin(sin(sin(sin(sin(x)))))))))

result:

ok great!!

Test #33:

score: 0
Accepted
time: 99ms
memory: 150488kb

input:

20
167.504612 669.176868
-132.494106 -530.496735
223.716049 894.248735
-14.542026 -59.087262
83.792869 336.028843
46.267758 185.826345
90.986202 364.064505
243.671799 973.706807
176.221425 705.173795
-140.883003 -564.001461
-25.914422 -104.362161
83.745358 335.862277
-92.043462 -367.367900
16.845939...

output:

(x+(x+(x+(x+sin(x)))))

result:

ok great!!

Test #34:

score: 0
Accepted
time: 87ms
memory: 149448kb

input:

20
5.820261 -23.727611
89.024912 -355.227137
78.465702 -313.788761
189.581597 -757.441601
-26.277637 104.199881
-58.876286 234.778122
180.037331 -720.972254
57.254054 -228.367888
-180.418016 722.647178
61.635602 -247.473082
126.339101 -504.731198
-192.871864 772.431509
-69.108582 276.440784
20.47183...

output:

(sin(x)-(x+(x+(x+x))))

result:

ok great!!

Test #35:

score: 0
Accepted
time: 120ms
memory: 150336kb

input:

20
-4.724302 498.103725
-3.940617 172.814337
-2.254073 -20.019734
2.417435 22.626021
4.576524 -434.632501
-3.789730 124.524863
-0.923911 -0.581439
-2.730462 -22.213656
-1.227515 -2.137958
-2.004088 -14.640510
-1.374969 -3.505828
-4.749463 508.486587
-0.919612 -0.568834
-1.895851 -12.242133
2.276076 ...

output:

(x*(x*(x*(x*sin(x)))))

result:

ok great!!

Test #36:

score: 0
Accepted
time: 113ms
memory: 150020kb

input:

20
-1.862076 -0.079675
4.978934 -0.001570
-1.706248 -0.116906
3.159038 -0.000175
-2.164361 -0.037776
4.298608 -0.002682
3.437089 -0.002087
0.898312 1.201300
-0.915297 -1.129496
4.614390 -0.002195
0.547090 5.806825
-1.238625 -0.401631
-3.916926 0.002974
-0.651893 -3.359412
-0.913229 -1.137947
-3.8357...

output:

(sin(x)/(x*(x*(x*x))))

result:

ok great!!

Test #37:

score: 0
Accepted
time: 80ms
memory: 82648kb

input:

20
999.999999 0.987127
-999.999999 0.987127
100.000001 -0.333949
-100.000001 -0.333949
999.999998 -0.829877
-999.999998 -0.829877
512.000001 -0.871928
-512.000001 -0.871928
511.999999 -0.985382
-511.999999 -0.985382
754.901184 0.143249
0.000001 0.000000
-0.000001 0.000000
0.180000 0.001050
-0.180000...

output:

sin((x*(x*(x*x))))

result:

ok great!!