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#154958#6395. Equation Discoveringchen_zexingWA 267ms283680kbC++172.5kb2023-09-01 04:10:202023-09-01 04:10:21

Judging History

你现在查看的是最新测评结果

  • [2023-09-01 04:10:21]
  • 评测
  • 测评结果:WA
  • 用时:267ms
  • 内存:283680kb
  • [2023-09-01 04:10:20]
  • 提交

answer

#pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define double long double
struct node{
    string eq;
    double ans[21];
};
vector <node> v[10];
double a[21],b[21];
int main() {
    int T = 1, kase = 0;
    //cin >> T;
    while (T--) {
        int n;
        cin>>n;
        for(int i=1;i<=n;i++) cin>>a[i]>>b[i];
        node temp;
        temp.eq="x";
        for(int i=1;i<=n;i++) temp.ans[i]=a[i];
        v[0].push_back(temp);
        int fl=1;
        for(int i=1;i<=n;i++) if(fabs(temp.ans[i]-b[i])>5e-7) fl=0;
        if(fl){
            cout<<temp.eq<<endl;
            exit(0);
        }
        for(int i=1;i<=9;i++){
            for(auto &t:v[i-1]){
                temp=t;
                temp.eq="(sin("+t.eq+"))";
                for(int j=1;j<=n;j++) temp.ans[j]=sin(temp.ans[j]);
                v[i].push_back(temp);
                temp=t;
                temp.eq="(cos("+t.eq+"))";
                for(int j=1;j<=n;j++) temp.ans[j]=cos(temp.ans[j]);
                v[i].push_back(temp);
            }
            for(int l=0;l<=i-2;l++){
                int r=i-2-l;
                for(auto &ll:v[l])
                    for(auto &rr:v[r]){
                        temp.eq="("+ll.eq+"+"+rr.eq+")";
                        for(int j=1;j<=n;j++) temp.ans[j]=ll.ans[j]+rr.ans[j];
                        v[i].push_back(temp);
                        temp.eq="("+ll.eq+"-"+rr.eq+")";
                        for(int j=1;j<=n;j++) temp.ans[j]=ll.ans[j]-rr.ans[j];
                        v[i].push_back(temp);
                        temp.eq="("+ll.eq+"*"+rr.eq+")";
                        for(int j=1;j<=n;j++) temp.ans[j]=ll.ans[j]*rr.ans[j];
                        v[i].push_back(temp);
                        int fl=1;
                        temp.eq="("+ll.eq+"/"+rr.eq+")";
                        for(int j=1;j<=n;j++){
                            if(rr.ans[j]==0){
                                fl=0;
                                break;
                            }
                            temp.ans[j]=ll.ans[j]/rr.ans[j];
                        }
                        if(fl) v[i].push_back(temp);
                    }
            }
            for(auto &t:v[i]){
                int fl=1;
                for(int j=1;j<=n;j++) if(fabs(t.ans[j]-b[j])>5e-7) fl=0;
                if(fl){
                    cout<<t.eq<<endl;
                    exit(0);
                }
            }
        }
    }
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3772kb

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: 1ms
memory: 4236kb

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: 1ms
memory: 4096kb

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: 1ms
memory: 3900kb

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: 3ms
memory: 11532kb

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: 1ms
memory: 3900kb

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: 1ms
memory: 3944kb

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: 267ms
memory: 281248kb

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: 56ms
memory: 66448kb

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: 0ms
memory: 3788kb

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: 1ms
memory: 3780kb

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: 4ms
memory: 5624kb

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: 1ms
memory: 3800kb

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: 1ms
memory: 3996kb

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: 4ms
memory: 5460kb

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: 262ms
memory: 281672kb

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: 258ms
memory: 283680kb

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: -100
Wrong Answer
time: 11ms
memory: 12368kb

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

result:

wrong answer div a small number