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 |
---|---|---|---|---|---|---|---|---|---|
#529273 | #6395. Equation Discovering | solar_express# | AC ✓ | 535ms | 207796kb | C++23 | 3.0kb | 2024-08-24 11:13:58 | 2024-08-24 11:14:00 |
Judging History
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) < 1e-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;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 4012kb
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: 4200kb
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: 4224kb
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: 4248kb
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: 7ms
memory: 5924kb
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: 4148kb
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: 4048kb
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: 129ms
memory: 54452kb
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: 44112kb
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: 4156kb
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: 4116kb
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: 5432kb
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: 4188kb
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: 4684kb
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: 426ms
memory: 116084kb
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: 123ms
memory: 50060kb
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: 21ms
memory: 10716kb
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: 1ms
memory: 4136kb
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: 1ms
memory: 4132kb
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: 4ms
memory: 6108kb
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: 183ms
memory: 65848kb
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: 4444kb
input:
1 31.424306 31.456129
output:
(x)+((x)/((x)*(x)))
result:
ok great!!
Test #24:
score: 0
Accepted
time: 5ms
memory: 5104kb
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: 4312kb
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: 4060kb
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: 176ms
memory: 86340kb
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: 0
Accepted
time: 73ms
memory: 41208kb
input:
4 0.020000 0.712709 1.000000 0.577284 2.000000 0.964383 3.000000 0.786224
output:
cos(sin((x)+(cos(sin(cos((x)/(x)))))))
result:
ok great!!
Test #29:
score: 0
Accepted
time: 13ms
memory: 14080kb
input:
1 10.000000 9.990000
output:
(x)-((x)/((x)*((x)*(x))))
result:
ok great!!
Test #30:
score: 0
Accepted
time: 11ms
memory: 14172kb
input:
2 0.026592 0.026593 4.000000 260.000000
output:
(x)+((x)*((x)*((x)*(x))))
result:
ok great!!
Test #31:
score: 0
Accepted
time: 314ms
memory: 84632kb
input:
20 -816.944077 0.750063 364.252903 0.749797 377.702803 0.739860 -64.648254 0.723984 960.420578 0.734135 876.304536 0.749578 -718.016803 0.722938 -720.680010 0.725173 669.591341 0.746462 -835.716345 0.750360 611.456898 0.727346 -401.888640 0.749253 -59.913119 0.749372 -421.048989 0.750298 495.542911 ...
output:
cos(cos(cos(cos(cos(cos(cos(cos(cos(x)))))))))
result:
ok great!!
Test #32:
score: 0
Accepted
time: 116ms
memory: 47580kb
input:
20 -966.243761 0.499984 -775.541582 -0.343886 665.144672 -0.467363 -440.569467 -0.446768 -15.642683 -0.064867 -891.727356 0.368493 -428.695562 -0.501273 -944.141182 -0.501731 265.202915 0.498506 -979.532068 0.423344 -678.301273 0.253567 125.728556 0.064444 -465.052762 -0.095704 -183.526425 -0.498649...
output:
sin(sin(sin(sin(sin(sin(sin(sin(sin(x)))))))))
result:
ok great!!
Test #33:
score: 0
Accepted
time: 487ms
memory: 120800kb
input:
20 167.504612 669.176868 -132.494106 -530.496735 223.716049 894.248735 -14.542026 -59.087262 83.792869 336.028843 46.267758 185.826345 90.986202 364.064505 243.671799 973.706807 176.221425 705.173795 -140.883003 -564.001461 -25.914422 -104.362161 83.745358 335.862277 -92.043462 -367.367900 16.845939...
output:
(x)+((x)+((x)+((x)+(sin(x)))))
result:
ok great!!
Test #34:
score: 0
Accepted
time: 486ms
memory: 142712kb
input:
20 5.820261 -23.727611 89.024912 -355.227137 78.465702 -313.788761 189.581597 -757.441601 -26.277637 104.199881 -58.876286 234.778122 180.037331 -720.972254 57.254054 -228.367888 -180.418016 722.647178 61.635602 -247.473082 126.339101 -504.731198 -192.871864 772.431509 -69.108582 276.440784 20.47183...
output:
(sin(x))-((x)+((x)+((x)+(x))))
result:
ok great!!
Test #35:
score: 0
Accepted
time: 535ms
memory: 178592kb
input:
20 -4.724302 498.103725 -3.940617 172.814337 -2.254073 -20.019734 2.417435 22.626021 4.576524 -434.632501 -3.789730 124.524863 -0.923911 -0.581439 -2.730462 -22.213656 -1.227515 -2.137958 -2.004088 -14.640510 -1.374969 -3.505828 -4.749463 508.486587 -0.919612 -0.568834 -1.895851 -12.242133 2.276076 ...
output:
(x)*((x)*((x)*((x)*(sin(x)))))
result:
ok great!!
Test #36:
score: 0
Accepted
time: 517ms
memory: 207796kb
input:
20 -1.862076 -0.079675 4.978934 -0.001570 -1.706248 -0.116906 3.159038 -0.000175 -2.164361 -0.037776 4.298608 -0.002682 3.437089 -0.002087 0.898312 1.201300 -0.915297 -1.129496 4.614390 -0.002195 0.547090 5.806825 -1.238625 -0.401631 -3.916926 0.002974 -0.651893 -3.359412 -0.913229 -1.137947 -3.8357...
output:
(sin(x))/((x)*((x)*((x)*(x))))
result:
ok great!!
Test #37:
score: 0
Accepted
time: 8ms
memory: 5980kb
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 754.901184 0.143249 0.000001 0.000000 -0.000001 0.000000 0.180000 0.001050 -0.180000...
output:
sin((x)*((x)*((x)*(x))))
result:
ok great!!