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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#516495#6395. Equation DiscoveringhuayucaijiWA 397ms218128kbC++143.4kb2024-08-12 17:26:102024-08-12 17:26:11

Judging History

你现在查看的是最新测评结果

  • [2024-08-12 17:26:11]
  • 评测
  • 测评结果:WA
  • 用时:397ms
  • 内存:218128kb
  • [2024-08-12 17:26:10]
  • 提交

answer

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

int read() {
	char ch=getchar();
	int f=1,x=0;
	while(ch<'0'||ch>'9') {
		if(ch=='-')
			f=-1;
		ch=getchar();
	}
	while(ch>='0'&&ch<='9') {
		x=x*10+ch-'0';
		ch=getchar();
	}
	return f*x;
}
char read_char() {
	char ch=getchar();
	while(!isalpha(ch)) {
		ch=getchar();
	}
	return ch;
}

const int MAXN=30;
const long double o=1.0;

int n;
long double x[MAXN],fx[MAXN];
struct equation {
	string s;
	long double y[MAXN];
	
	bool check() {
		for(int i=1;i<=n;i++) {
			if(abs(y[i]-fx[i])/max(o,abs(y[i]))>1e-3) {
				return 0;
			}
		}
		return 1;
	}
	void output() {
		cout<<s<<endl;
	}
}ori;
vector<equation> g[10];

int main() {
	//freopen(".in","r",stdin);
	//freopen(".out","w",stdout);
	
	cin>>n;
	for(int i=1;i<=n;i++) {
		cin>>x[i]>>fx[i];
		ori.y[i]=x[i];
	}
	
	ori.s="x";
	if(ori.check()) {
		ori.output();
		return 0;
	}
	g[0].push_back(ori);
	
	for(int i=1;i<=9;i++) {
		int sz=g[i-1].size();
		
		//sin(x)
		for(int j=0;j<sz;j++) {
			equation t;
			t.s="sin("+g[i-1][j].s+")";
			for(int k=1;k<=n;k++) {
				t.y[k]=sin(g[i-1][j].y[k]);
			}
			if(t.check()) {
				t.output();
				return 0;
			}
			g[i].push_back(t);
		}
		
		//cos(x)
		for(int j=0;j<sz;j++) {
			equation t;
			t.s="cos("+g[i-1][j].s+")";
			for(int k=1;k<=n;k++) {
				t.y[k]=cos(g[i-1][j].y[k]);
			}
			if(t.check()) {
				t.output();
				return 0;
			}
			g[i].push_back(t);
		}
		
		//x+x
		for(int j=0;j<=i-2;j++) {
			int k=i-2-j;
			//if(k<j) break;
			
			int szj=g[j].size();
			int szk=g[k].size();
			for(int p=0;p<szj;p++) {
				for(int q=0;q<szk;q++) {
					equation t;
					t.s=g[j][p].s+"+"+g[k][q].s;
					for(int l=1;l<=n;l++) {
						t.y[l]=g[j][p].y[l]+g[k][q].y[l];
					}
					
					if(t.check()) {
						t.output();
						return 0;
					}
					g[i].push_back(t);
				}
			}
		}
		
		//x*x
		for(int j=0;j<=i-2;j++) {
			int k=i-2-j;
			//if(k<j) break;
			
			int szj=g[j].size();
			int szk=g[k].size();
			for(int p=0;p<szj;p++) {
				for(int q=0;q<szk;q++) {
					equation t;
					t.s="("+g[j][p].s+")*("+g[k][q].s+")";
					for(int l=1;l<=n;l++) {
						t.y[l]=g[j][p].y[l]*g[k][q].y[l];
					}
					
					if(t.check()) {
						t.output();
						return 0;
					}
					g[i].push_back(t);
				}
			}
		}
		
		//x-x
		for(int j=0;j<=i-2;j++) {
			int k=i-2-j;
			
			int szj=g[j].size();
			int szk=g[k].size();
			for(int p=0;p<szj;p++) {
				for(int q=0;q<szk;q++) {
					equation t;
					t.s=g[j][p].s+"-"+g[k][q].s;
					for(int l=1;l<=n;l++) {
						t.y[l]=g[j][p].y[l]-g[k][q].y[l];
					}
					
					if(t.check()) {
						t.output();
						return 0;
					}
					g[i].push_back(t);
				}
			}
		}
		
		
		//x/x
		for(int j=0;j<=i-2;j++) {
			int k=i-2-j;
			
			int szj=g[j].size();
			int szk=g[k].size();
			for(int p=0;p<szj;p++) {
				for(int q=0;q<szk;q++) {
					bool flag=1;
					equation t;
					t.s="("+g[j][p].s+")/("+g[k][q].s+")";
					for(int l=1;l<=n;l++) {
						if(abs(g[k][q].y[l])<1e-2) {
							flag=0;
							break;
						}
						t.y[l]=g[j][p].y[l]/g[k][q].y[l];
					}
					
					if(!flag) {
						continue;
					}
					if(t.check()) {
						t.output();
						return 0;
					}
					g[i].push_back(t);
				}
			}
		}
	}

	//fclose(stdin);
	//fclose(stdout);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 4244kb

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: 0ms
memory: 4504kb

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: 4152kb

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: 4120kb

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: 5ms
memory: 10224kb

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: 0ms
memory: 4044kb

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: 0ms
memory: 4196kb

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: 126ms
memory: 88676kb

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: 93ms
memory: 90264kb

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: 4120kb

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: 0ms
memory: 4076kb

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: 5ms
memory: 5236kb

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: 0ms
memory: 4172kb

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: 0ms
memory: 3660kb

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: 2ms
memory: 4576kb

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: 397ms
memory: 218128kb

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: 99ms
memory: 88304kb

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: 15ms
memory: 15848kb

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: -100
Wrong Answer
time: 1ms
memory: 4372kb

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:

wrong answer fail to discover