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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
#139697#6395. Equation DiscoveringSchi2oidWA 230ms3908kbC++142.7kb2023-08-14 10:40:142023-08-14 10:40:18

Judging History

你现在查看的是最新测评结果

  • [2023-08-14 10:40:18]
  • 评测
  • 测评结果:WA
  • 用时:230ms
  • 内存:3908kb
  • [2023-08-14 10:40:14]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
int n;
int val[6];
long double x[25],y[25];
int ls[25],rs[25],typ[25];
int mi[25];
int idcnt=1;
mt19937 ra(time(0));
long double f(long double x,long double y,int typ){
	if(typ==0) return x+y;
	else if(typ==1) return x-y;
	else if(typ==2) return x*y;
	else if(typ==3){
		if(abs(y)<=1e-3) return ra();
		return x/y;
	}
	else if(typ==4) return sin(x);
	else return cos(x);
}
void prt(int p){
	printf("(");
	if(p==-1) printf("x");
	else if(typ[p]==0){
		prt(ls[p]);printf("+");prt(rs[p]);
	}
	else if(typ[p]==1){
		prt(ls[p]);printf("-");prt(rs[p]);
	}
	else if(typ[p]==2){
		prt(ls[p]);printf("*");prt(rs[p]);
	}
	else if(typ[p]==3){
		prt(ls[p]);printf("/");prt(rs[p]);
	}
	else if(typ[p]==4){
		printf("sin(");prt(ls[p]);printf(")");
	}
	else if(typ[p]==5){
		printf("cos(");prt(ls[p]);printf(")");
	}
	printf(")");
}
long double calc(int p,long double x){
	long double lc=x,rc=x;
	if(ls[p]!=-1) lc=calc(ls[p],x);
	if(rs[p]!=-1) rc=calc(rs[p],x);
	return f(lc,rc,typ[p]);
}
void check(){
	for(int i=1;i<=n;i++) if(abs(calc(1,x[i])-y[i])/max((long double)1,abs(y[i]))>1e-3) return;
	prt(1);
	exit(0);
}
void dfs(int lim,vector<int>vec){
	int tmp[25];
	check();
	int cnt=0;
	for(int i=0;i<vec.size();i++) cnt+=val[typ[vec[i]]];
	for(int i=1;i<=cnt;i++) tmp[i]=-1;
	vector<int>nxt;
	int befcnt=idcnt;
	for(int i=1;i<mi[cnt];i++){
		for(int j=1;j<=cnt;j++){
			tmp[j]++;
			if(tmp[j]==6) tmp[j]=-1;
			else break;
		}
		int nxtcnt=0;
		for(int i=1;i<=cnt;i++) if(tmp[i]!=-1) nxtcnt+=val[tmp[i]];
		if(nxtcnt>lim) continue;
		int poi=cnt;
		for(int j=0;j<vec.size();j++){
			if(typ[vec[j]]<=3){
				if(tmp[poi]!=-1){
					ls[vec[j]]=++idcnt;
					typ[idcnt]=tmp[poi--];
					nxt.push_back(idcnt);
				}
				else{
					ls[vec[j]]=-1;
					poi--;
				}
				if(tmp[poi]!=-1){
					rs[vec[j]]=++idcnt;
					typ[idcnt]=tmp[poi--];
					nxt.push_back(idcnt);
				}
				else{
					rs[vec[j]]=-1;
					poi--;
				}
			}
			else{
				if(tmp[poi]!=-1){
					ls[vec[j]]=++idcnt;
					typ[idcnt]=tmp[poi--];
					nxt.push_back(idcnt);
				}
				else{
					ls[vec[j]]=-1;
					poi--;
				}
				rs[vec[j]]=-1;
			}
		}
		dfs(lim-nxtcnt,nxt);
		nxt.clear();
		idcnt=befcnt;
	}
	for(int i=0;i<vec.size();i++) ls[vec[i]]=rs[vec[i]]=-1;
}
int main(){
	mi[0]=1;
	for(int i=1;i<=9;i++) mi[i]=mi[i-1]*7;
	val[0]=val[1]=val[2]=val[3]=2;
	val[4]=val[5]=1;
	for(int i=1;i<=20;i++) ls[i]=-1,rs[i]=-1;
	cin>>n;
	for(int i=1;i<=n;i++){
		scanf("%Lf%Lf",&x[i],&y[i]);
		assert(abs(x[i])>1e-4);
	}
	vector<int>vec;
	vec.push_back(1);
	for(int i=0;i<6;i++){
		typ[1]=i;
		ls[1]=-1,rs[1]=-1;
		dfs(9-val[i],vec);
	}
	puts("-1");
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3784kb

input:

3
1.000000 1.000000
2.000000 4.000000
3.000000 9.000000

output:

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

result:

ok great!!

Test #2:

score: 0
Accepted
time: 3ms
memory: 3896kb

input:

3
0.618000 1.517072
0.314000 3.132637
1.414000 0.494016

output:

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

result:

ok great!!

Test #3:

score: 0
Accepted
time: 0ms
memory: 3848kb

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: 3ms
memory: 3844kb

input:

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

output:

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

result:

ok great!!

Test #5:

score: 0
Accepted
time: 18ms
memory: 3908kb

input:

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

output:

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

result:

ok great!!

Test #6:

score: 0
Accepted
time: 3ms
memory: 3848kb

input:

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

output:

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

result:

ok great!!

Test #7:

score: 0
Accepted
time: 1ms
memory: 3832kb

input:

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

output:

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

result:

ok great!!

Test #8:

score: 0
Accepted
time: 213ms
memory: 3908kb

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: 146ms
memory: 3800kb

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: 1ms
memory: 3776kb

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

result:

ok great!!

Test #11:

score: 0
Accepted
time: 2ms
memory: 3784kb

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

result:

ok great!!

Test #12:

score: 0
Accepted
time: 95ms
memory: 3784kb

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: 2ms
memory: 3784kb

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))))

result:

ok great!!

Test #14:

score: 0
Accepted
time: 1ms
memory: 3788kb

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

result:

ok great!!

Test #15:

score: 0
Accepted
time: 186ms
memory: 3732kb

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

result:

ok great!!

Test #16:

score: 0
Accepted
time: 32ms
memory: 3796kb

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

result:

ok great!!

Test #17:

score: 0
Accepted
time: 209ms
memory: 3796kb

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: 230ms
memory: 3848kb

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