QOJ.ac

QOJ

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
#150780#6395. Equation DiscoveringaestheticWA 568ms4284kbC++143.2kb2023-08-26 09:49:482023-08-26 09:49:48

Judging History

你现在查看的是最新测评结果

  • [2023-08-26 09:49:48]
  • 评测
  • 测评结果:WA
  • 用时:568ms
  • 内存:4284kb
  • [2023-08-26 09:49:48]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;
const int MAXN = 22;
int n;
double x[MAXN], y[MAXN];

vector<char> ops;

string genExpr(vector<char> ops)
{
	vector<string> a;	
	while(!ops.empty())
	{
		char c = ops.back();
		if(c == 'x')
		{
			a.push_back("x");
		}
		else if(c == '+' || c == '-' || c == '*' || c == '/')
		{
			string z = a.back();
			a.pop_back();
			string w = a.back();
			a.pop_back();
			if(c == '+')
				a.push_back("(" + z + "+" + w + ")");
			else if(c == '-')
				a.push_back("(" + z + "-" + w + ")");
			else if(c == '*')
				a.push_back("(" + z + "*" + w + ")");
			else if(c == '/')
				a.push_back("(" + z + "/" + w + ")");
		}
		else if(c == 's' || c == 'c')
		{
			string z = a.back();
			a.pop_back();
			if(c == 's')
				a.push_back("sin(" + z + ")");
			else if(c == 'c')
				a.push_back("cos(" + z + ")");
		}
		ops.pop_back();
	}
	return a.back();
}

bool getOut(vector<char> ops, double x, double &ret)
{
	vector<double> a;
	while(!ops.empty())
	{
		char c = ops.back();
		if(c == 'x')
		{
			a.push_back(x);
		}
		else if(c == '+' || c == '-' || c == '*' || c == '/')
		{
			if(a.size() < 2)
				return false;
			double z = a.back();
			a.pop_back();
			double w = a.back();
			a.pop_back();
			if(c == '+')
				a.push_back(z + w);
			else if(c == '-')
				a.push_back(z - w);
			else if(c == '*')
				a.push_back(z * w);
			else if(c == '/')
			{
				if(abs(w) < 0.001)
					return false;
				a.push_back(z / w);
			}
		}
		else if(c == 's' || c == 'c')
		{
			if(a.size() < 1)
				return false;
			double z = a.back();
			a.pop_back();
			if(c == 's')
				a.push_back(sin(z));
			else if(c == 'c')
				a.push_back(cos(z));
		}
		ops.pop_back();
	}
	if(a.size() != 1)
		return false;
	ret = a.back();
	return true;
}

bool check()
{
	if(ops.empty())
		return false;
	for(int i = 1; i <= n; ++i)
	{
		double yy;
		if(!getOut(ops, x[i], yy))
			return false;
		if(abs(yy - y[i]) >= 1e-5)
			return false;
	}
	return true;
}

bool validatePrefix(vector<char> ops)
{
	int cnt = 0;
	for(int i = 0; i < ops.size(); ++i)
	{
		char c = ops[i];
		if(c == 'x')
			cnt++;
		else if(c == '+' || c == '-' || c == '*' || c == '/')
			cnt--;
		if(cnt > 1)
			return false;
	}

	return true;
}

int cost = 0, xs = 0;
void go()
{
	if(cost > 9 || xs > 5)
		return;

	// cout << "Trying: ";
	// for(char c : ops)
	// 	cout << c << ' ';
	// cout << endl;
	if(!validatePrefix(ops))
		return;

	if(check())
	{
		// for(char c : ops)
		// 	cout << c << ' ';
		// cout << endl;

		cout << genExpr(ops) << endl;
		exit(0);
	}


	for(char c : {'x', '+', '-', '*', 's', 'c', '/'})
	{
		ops.push_back(c);
		if(c == '+' || c == '-' || c == '*' || c == '/')
			cost += 2;
		else if(c == 'c' || c == 's')
			cost++;
		else if(c == 'x')
			xs++;
		go();
		if(c == '+' || c == '-' || c == '*' || c == '/')
			cost -= 2;
		else if(c == 'c' || c == 's')
			cost--;
		else if(c == 'x')
			xs--;
		ops.pop_back();
	}
}


int main()
{
	ios_base::sync_with_stdio(false), cin.tie(NULL);
	cin >> n;
	for(int i = 1; i <= n; ++i)
		cin >> x[i] >> y[i];
	go();
}

详细

Test #1:

score: 100
Accepted
time: 125ms
memory: 4024kb

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: 123ms
memory: 4024kb

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: 122ms
memory: 4148kb

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: 120ms
memory: 4040kb

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: 147ms
memory: 4196kb

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: 125ms
memory: 4088kb

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: 135ms
memory: 4056kb

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: 360ms
memory: 4036kb

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: 506ms
memory: 4284kb

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: 123ms
memory: 4016kb

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: 120ms
memory: 4276kb

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: 242ms
memory: 4152kb

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: 125ms
memory: 4112kb

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: 3728kb

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: 322ms
memory: 4124kb

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

result:

ok great!!

Test #16:

score: 0
Accepted
time: 154ms
memory: 4196kb

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: 348ms
memory: 4148kb

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: 374ms
memory: 4064kb

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: 117ms
memory: 4036kb

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+(x+x))))

result:

ok great!!

Test #20:

score: 0
Accepted
time: 124ms
memory: 4192kb

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

result:

ok great!!

Test #21:

score: -100
Wrong Answer
time: 568ms
memory: 4060kb

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:


result:

wrong output format Unexpected end of file - token expected