QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#310295#6395. Equation DiscoveringPlentyOfPenalty#WA 168ms74892kbC++202.7kb2024-01-21 10:35:312024-01-21 10:35:32

Judging History

你现在查看的是最新测评结果

  • [2024-01-21 10:35:32]
  • 评测
  • 测评结果:WA
  • 用时:168ms
  • 内存:74892kb
  • [2024-01-21 10:35:31]
  • 提交

answer

#include<bits/stdc++.h>
#define all(x) begin(x),end(x)
#define double long double
using namespace std;
enum oper{PLUS,MINUS,TIME,DIV,SIN,COS,NONE};
string name[]={"+","-","*","/","sin","cos","x"};
const int N=25;
int n;
double x[N],y[N];
double getdiff(double x,double y){
	return abs(x-y)/max<double>(1,abs(y));
}
struct func{
	oper op;
	string str;
	func *l,*r;
	pair<double,bool> calc(double x){
		if(op==NONE)return {x,false};
		if(PLUS<=op&&op<=DIV){
			auto a=l->calc(x),b=r->calc(x);
			// fprintf(stderr,"%d !! %.10Lf %d :: %.10Lf %d\n",op,a.first,a.second,b.first,b.second);
			if(a.second||b.second)return {0,true};
			if(op==DIV){
				if(abs(a.first)<=0.011)return {0,true};
				if(b.first==0)return {0,true};
			}
			if(op==PLUS)a.first+=b.first;
			if(op==MINUS)a.first-=b.first;
			if(op==TIME)a.first*=b.first;
			if(op==DIV)a.first/=b.first;
			// cerr<<"! "<<a.first<<endl;
			if(isnan(a.first)||isinf(a.first)||a.first>1e50||a.first<-1e50)return {0,true};
			return a;
		}
		if(SIN<=op&&op<=COS){
			auto a=l->calc(x);
			if(a.second)return {0,true};
			a.first=op==SIN?sinl(a.first):cosl(a.first);
			if(isnan(a.first)||isinf(a.first)||a.first>1e50||a.first<-1e50)return {0,true};
			return a;
		}
		return {0,true};
	}
};
vector<func> f[10];
int main(){
#ifdef memset0
	freopen("B.in","r",stdin);
#endif
	cin.tie(0)->sync_with_stdio(0);
	cin>>n;
	for(int i=1;i<=n;i++){
		cin>>x[i]>>y[i];
	}
	f[0].push_back({NONE,"x",nullptr,nullptr});
	for(int k=1;k<=9;k++){
		for(oper op=PLUS;op<=DIV;op=(oper)((int)op+1)){
			for(int i=0;i<=k;i++)
				for(int j=0;j<=k;j++)
					if(i+j+2==k){
						// if(op!=MINUS&&op!=DIV&&i>j)continue;
						for(int x=0;x<f[i].size();x++)
							for(int y=0;y<f[j].size();y++){
								f[k].push_back({
									op,
									"("+f[i][x].str+")"+name[op]+"("+f[j][y].str+")",
									&f[i][x],
									&f[j][y],
								});
							}
					}
		}
		for(oper op=SIN;op<=COS;op=(oper)((int)op+1)){
			for(int x=0;x<f[k-1].size();x++){
				f[k].push_back({
					op,
					name[op]+"("+f[k-1][x].str+")",
					&f[k-1][x],
					nullptr
				});
			}
		}
		// cerr<<k<<" >> "<<f[k].size()<<endl;
		// for(auto x:f[k])cerr<<x.str<<endl;
	}
	for(int k=0;k<=9;k++)
		for(auto fc:f[k]){
			// if(fc.str!="(sin(x))/((x)*(x))")continue;
			bool ok=true;
			for(int i=1;i<=n;i++){
				auto res=fc.calc(x[i]);
				// fprintf(stderr,"%.2Lf %.2Lf => %.10Lf %d\n",x[i],y[i],res.first,res.second);
				if(res.second||isnan(res.first)||isinf(res.first)||(getdiff(res.first,y[i])>3e-4)){
					ok=false;
					break;				
				}
			}
			if(ok){
				// cerr<<"k="<<k<<endl;
				cout<<fc.str<<endl;
				return 0;
			}
		}
	assert(0);
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 54ms
memory: 72792kb

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: 60ms
memory: 74244kb

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: 55ms
memory: 73980kb

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: 43ms
memory: 74196kb

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: 45ms
memory: 74892kb

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: 59ms
memory: 73736kb

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: 47ms
memory: 73560kb

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: 141ms
memory: 73524kb

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: 59ms
memory: 73616kb

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: 49ms
memory: 74352kb

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: 56ms
memory: 73440kb

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: 55ms
memory: 74064kb

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: 60ms
memory: 73428kb

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: 58ms
memory: 73628kb

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: 43ms
memory: 74580kb

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: 87ms
memory: 73524kb

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: 168ms
memory: 73096kb

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: 69ms
memory: 73704kb

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: 49ms
memory: 73604kb

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: 63ms
memory: 74856kb

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:

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

result:

ok great!!

Test #21:

score: 0
Accepted
time: 50ms
memory: 73832kb

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: -100
Wrong Answer
time: 44ms
memory: 74324kb

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

result:

wrong answer div a small number