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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
#114762#6395. Equation Discoveringsnowy2002WA 248ms4184kbC++173.4kb2023-06-23 15:26:022023-06-23 15:26:05

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.
  • [2023-06-23 15:26:05]
  • 评测
  • 测评结果:WA
  • 用时:248ms
  • 内存:4184kb
  • [2023-06-23 15:26:02]
  • 提交

answer

#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#define time chrono::system_clock::now().time_since_epoch().count()
#include<ext/pb_ds/tree_policy.hpp>
#define clean(x) memset(x,0,sizeof(x))
#define fil(x,n) fill(x,x+1+n,0)
#define inf 2000000009
#define maxn 1000005
using namespace std;
using namespace __gnu_pbds;
mt19937_64 rnd(time);
cc_hash_table<int,int>mp;

double eps=1e-3;

int read() {
    int x=1,res=0;
    char c=getchar();
    while(c<'0'||c>'9') {
        if(c=='-') x=-1;
        c=getchar();
    }
    while(c>='0'&&c<='9') {
        res=res*10+(c-'0');
        c=getchar();
    }
    return res*x;
}

signed main()
{
    int n=read();
    vector<double>x(n+1),y(n+1);
    vector<string>q;
    for(int i=1;i<=n;i++) {
        cin>>x[i]>>y[i];
    }
    stack<int>s1;
    stack<string>s2;
    auto cal1=[&](double a,double b,string c) ->double {
        if(c=="+") return a+b;
        if(c=="-") return a-b;
        if(c=="*") return a*b;
        if(c=="/") return a/b;
        return 1.0;
    };
    auto cal2=[&](double a,string c) ->double {
        if(c=="sin") return sin(a);
        if(c=="cos") return cos(a);
        return 1.0;
    };
    auto check=[&](int i) -> int {
        double aa=x[i],bb=y[i];
        stack<double>s;
        for(auto c:q) {
            if(c=="x") s.push(aa);
            if(c=="+"||c=="-"||c=="*"||c=="/") {
                double u1=s.top();s.pop();
                double u2=s.top();s.pop();
                if(c=="/"&&fabs(u2)<eps) return 0;
                s.push(cal1(u1,u2,c));
            }
            if(c=="sin"||c=="cos") {
                double u=s.top();s.pop();
                s.push(cal2(u,c));
            }
        }
        if(fabs(s.top()-bb)<=eps) return 1;
        return 0;
    };
    int ok=0,tot=0,fff=0;
    auto dfs=[&](auto dfs,int t,int cnt) -> void {
        // cout<<t<<" "<<cnt<<endl;
        if(t+(cnt-1)*2>9) return;
        tot++;
        if(ok) return;
        if(t>9||cnt>5) return;
        else if(cnt==1) {
            fff++;
            int res=0;
            for(int i=1;i<=n;i++) {
                if(check(i)) res++;
                else break;
            }
            if(res==n) ok=1;
            if(ok) {
                stack<string>s;
                for(auto c:q) {
                    if(c=="x") s.push("x");
                    if(c=="+"||c=="-"||c=="*"||c=="/") {
                        string u1=s.top();s.pop();
                        string u2=s.top();s.pop();
                        s.push("("+u1+c+u2+")");
                    }
                    if(c=="sin"||c=="cos") {
                        string u=s.top();s.pop();
                        s.push(c+"("+u+")");
                    }
                }
                cout<<s.top()<<endl;
                return;
            }
        }
        //"x"              
        q.push_back("x");dfs(dfs,t,cnt+1);q.pop_back();
        //"+-*/" 
        if(cnt>=2)
            for(auto i:{"+","-","*","/"})
                {q.push_back(i);dfs(dfs,t+2,cnt-1);q.pop_back();}
        //"sin cos"
        if(cnt>=1)
            for(auto i:{"sin","cos"})
                {q.push_back(i);dfs(dfs,t+1,cnt);q.pop_back();}  
        
    };
    q.push_back("x");
    dfs(dfs,0,1);
    // cout<<fff<<endl;
    // cout<<tot<<endl;
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 2ms
memory: 4036kb

input:

3
1.000000 1.000000
2.000000 4.000000
3.000000 9.000000

output:

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

result:

ok great!!

Test #2:

score: 0
Accepted
time: 1ms
memory: 4064kb

input:

3
0.618000 1.517072
0.314000 3.132637
1.414000 0.494016

output:

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

result:

ok great!!

Test #3:

score: 0
Accepted
time: 0ms
memory: 4100kb

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)+x)-x)

result:

ok great!!

Test #4:

score: 0
Accepted
time: 23ms
memory: 3968kb

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+x)-x)))

result:

ok great!!

Test #5:

score: 0
Accepted
time: 248ms
memory: 4124kb

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: 22ms
memory: 4136kb

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+x)-x)))))

result:

ok great!!

Test #7:

score: 0
Accepted
time: 7ms
memory: 4108kb

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-x)*x)+x)))

result:

ok great!!

Test #8:

score: 0
Accepted
time: 48ms
memory: 3888kb

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: 0ms
memory: 4184kb

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:

(((cos((x-x))/x)/x)/x)

result:

ok great!!

Test #10:

score: 0
Accepted
time: 2ms
memory: 4068kb

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:

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

result:

ok great!!

Test #11:

score: 0
Accepted
time: 2ms
memory: 4108kb

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:

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

result:

ok great!!

Test #12:

score: 0
Accepted
time: 146ms
memory: 4004kb

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:

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

result:

ok great!!

Test #13:

score: 0
Accepted
time: 0ms
memory: 4164kb

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)-x)-x)*x)

result:

ok great!!

Test #14:

score: 0
Accepted
time: 1ms
memory: 3792kb

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: 14ms
memory: 4064kb

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)/x))

result:

ok great!!

Test #16:

score: 0
Accepted
time: 133ms
memory: 4040kb

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: 90ms
memory: 3900kb

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: 6ms
memory: 4096kb

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)/x))))

result:

wrong answer div a small number