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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#529271#6395. Equation Discoveringsolar_express#WA 395ms117836kbC++233.0kb2024-08-24 11:12:422024-08-24 11:12:42

Judging History

你现在查看的是最新测评结果

  • [2024-08-24 11:12:42]
  • 评测
  • 测评结果:WA
  • 用时:395ms
  • 内存:117836kb
  • [2024-08-24 11:12:42]
  • 提交

answer


#include <cmath>
#include <iostream>
#include <string>
#include <utility>
#include <vector>
using namespace std;
using dbl = long double;
vector<pair<vector<dbl>, string>> f[10];

vector<dbl> y;

bool chk(vector<dbl> &u) {
	for (int i = 0; i < y.size(); ++i) {
		if (fabs(u[i]-y[i]) > 1e-6) return false;
	}
	return true;
}

int main() {
	int n;
	cin >> n;
	vector<dbl> x;
	for (int i = 0; i < n; ++i) {
		dbl xi, yi;
		cin >> xi >> yi;
		x.emplace_back(xi);
		y.emplace_back(yi);
	}
	f[0].emplace_back(x, "x");
	if (chk(f[0][0].first)) {
		cout << "x\n";
		return 0;
	}
	for (int cost = 1; cost <= 9; ++cost) {
		for (const auto &[res, expr] : f[cost-1]) {
			vector<dbl> val;
			for (auto x : res) {
				val.push_back(sin(x));
			}
			string e = "sin("+expr+")";
			if (chk(val)) {
				cout << e << '\n';
				return 0;
			}
			f[cost].emplace_back(val, e);
		}
		for (const auto &[res, expr] : f[cost-1]) {
			vector<dbl> val;
			for (auto x : res) {
				val.push_back(cos(x));
			}
			string e = "cos("+expr+")";
			if (chk(val)) {
				cout << e << '\n';
				return 0;
			}
			f[cost].emplace_back(val, e);
		}
		for (int i = 0; i <= cost - 2; ++i) {
			for (const auto &[res_l, lhs] : f[i]) {
				for (const auto &[res_r, rhs] : f[cost-2-i]) {
					vector<dbl> val;
					for (int i = 0; i < res_l.size(); ++i) {
						val.push_back(res_l[i] + res_r[i]);
					}
					string e = "("+lhs+")+("+rhs+")";
					if (chk(val)) {
						cout << e << '\n';
						return 0;
					}
					f[cost].emplace_back(val, e);
				}
			}
		}
		for (int i = 0; i <= cost - 2; ++i) {
			for (const auto &[res_l, lhs] : f[i]) {
				for (const auto &[res_r, rhs] : f[cost-2-i]) {
					vector<dbl> val;
					for (int i = 0; i < res_l.size(); ++i) {
						val.push_back(res_l[i] - res_r[i]);
					}
					string e = "("+lhs+")-("+rhs+")";
					if (chk(val)) {
						cout << e << '\n';
						return 0;
					}
					f[cost].emplace_back(val, e);
				}
			}
		}
		for (int i = 0; i <= cost - 2; ++i) {
			for (const auto &[res_l, lhs] : f[i]) {
				for (const auto &[res_r, rhs] : f[cost-2-i]) {
					vector<dbl> val;
					for (int i = 0; i < res_l.size(); ++i) {
						val.push_back(res_l[i] * res_r[i]);
					}
					string e = "("+lhs+")*("+rhs+")";
					if (chk(val)) {
						cout << e << '\n';
						return 0;
					}
					f[cost].emplace_back(val, e);
				}
			}
		}
		for (int i = 0; i <= cost - 2; ++i) {
			for (const auto &[res_l, lhs] : f[i]) {
				for (const auto &[res_r, rhs] : f[cost-2-i]) {
					vector<dbl> val;
					bool has_zero = 0;
					for (auto v : res_r) {
						if (fabs(v) < 2e-2) has_zero = 1;
					}
					if (has_zero) continue;
					for (int i = 0; i < res_l.size(); ++i) {
						val.push_back(res_l[i] / res_r[i]);
					}
					string e = "("+lhs+")/("+rhs+")";
					if (chk(val)) {
						cout << e << '\n';
						return 0;
					}
					f[cost].emplace_back(val, e);
				}
			}
		}
	}
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 4016kb

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: 1ms
memory: 4216kb

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: 0ms
memory: 4040kb

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: 0ms
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: 3ms
memory: 5780kb

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: 4116kb

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: 4092kb

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: 140ms
memory: 53500kb

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: 105ms
memory: 45184kb

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: 4056kb

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: 4200kb

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: 2ms
memory: 5020kb

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: 4052kb

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: 3752kb

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: 4592kb

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: 395ms
memory: 117836kb

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: 108ms
memory: 51636kb

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: 22ms
memory: 10612kb

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: 0ms
memory: 4336kb

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: 0ms
memory: 4240kb

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:

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

result:

ok great!!

Test #21:

score: 0
Accepted
time: 8ms
memory: 6052kb

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: 0
Accepted
time: 206ms
memory: 65544kb

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

result:

ok great!!

Test #23:

score: 0
Accepted
time: 1ms
memory: 4372kb

input:

1
31.424306 31.456129

output:

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

result:

ok great!!

Test #24:

score: 0
Accepted
time: 5ms
memory: 5032kb

input:

20
-29.440025 807.835022
19.414601 415.755934
11.492851 155.071326
18.966989 397.680650
3.027310 15.219226
-4.525550 11.429503
-7.906286 46.696786
-21.105731 403.240419
16.717653 312.915228
25.349563 693.299470
28.071737 844.165892
28.141608 848.233317
-26.371446 642.710272
-13.802857 162.913147
-23...

output:

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

result:

ok great!!

Test #25:

score: 0
Accepted
time: 1ms
memory: 4152kb

input:

20
458.594270 0.909297
236.772098 0.909297
679.844094 0.909297
-113.768271 0.909297
-919.765157 0.909297
450.713950 0.909297
-560.756795 0.909297
35.253093 0.909297
-530.329136 0.909297
-846.165765 0.909297
-294.618124 0.909297
595.795664 0.909297
441.685140 0.909297
220.854674 0.909297
-649.606144 ...

output:

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

result:

ok great!!

Test #26:

score: 0
Accepted
time: 0ms
memory: 4084kb

input:

4
0.009999 1.000000
1.000000 1.000000
2.000000 1.000000
3.000000 1.000000

output:

cos((x)-(x))

result:

ok great!!

Test #27:

score: 0
Accepted
time: 161ms
memory: 85900kb

input:

4
1.560797 17.311340
1.000000 0.616661
2.000000 -0.369041
3.000000 -0.166678

output:

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

result:

ok great!!

Test #28:

score: -100
Wrong Answer
time: 127ms
memory: 79996kb

input:

4
0.020000 0.712709
1.000000 0.577284
2.000000 0.964383
3.000000 0.786224

output:


result:

wrong output format Unexpected end of file - token expected