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 |
---|---|---|---|---|---|---|---|---|---|
#559996 | #6395. Equation Discovering | chimera | AC ✓ | 304ms | 122956kb | C++17 | 3.9kb | 2024-09-12 11:19:38 | 2024-09-12 11:19:38 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll int
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#define double long double
vector<vector<ll>> ids(10);
vector<vector<ll>> history(1);
void pprint(ll id) {
if(history[id][0] == -1) cout << "x";
else if(history[id][0] == 0) {
cout << "sin("; pprint(history[id][1]); cout << ")";
} else if(history[id][0] == 1) {
cout << "cos("; pprint(history[id][1]); cout << ")";
} else if(history[id][0] == 2) {
cout << "("; pprint(history[id][1]); cout << "+"; pprint(history[id][2]); cout << ")";
} else if(history[id][0] == 3) {
cout << "("; pprint(history[id][1]); cout << "*"; pprint(history[id][2]); cout << ")";
} else if(history[id][0] == 4) {
cout << "("; pprint(history[id][1]); cout << "-"; pprint(history[id][2]); cout << ")";
} else if(history[id][0] == 5) {
cout << "("; pprint(history[id][1]); cout << "/"; pprint(history[id][2]); cout << ")";
} else assert(false);
}
int main() {
ll N; cin >> N;
vector<array<double, 2>> ps(N);
for(ll i = 0; i < N; i++) cin >> ps[i][0] >> ps[i][1];
vector<vector<vector<double>>> exprs(10);
exprs[0].push_back({});
history[0] = {-1};
ids[0] = {0};
ll idc = 1;
for(ll i = 0; i < N; i++) exprs[0][0].push_back(ps[i][0]);
for(ll c = 1; c <= 9; c++) {
for(ll i = 0; i < exprs[c-1].size(); i++) {
vector<double> rs(N), rc(N);
for(ll j = 0; j < N; j++) {
rs[j] = sin(exprs[c-1][i][j]);
rc[j] = cos(exprs[c-1][i][j]);
}
exprs[c].push_back(rs);
ids[c].push_back(idc++);
history.push_back({0, ids[c-1][i]});
exprs[c].push_back(rc);
ids[c].push_back(idc++);
history.push_back({1, ids[c-1][i]});
}
for(ll nl = 0; nl <= c-2; nl++) {
ll nr = c-2-nl;
for(ll i1 = 0; i1 < exprs[nl].size(); i1++) {
for(ll i2 = 0; i2 < exprs[nr].size(); i2++) {
const vector<double>& lhs = exprs[nl][i1];
const vector<double>& rhs = exprs[nr][i2];
vector<double> add(N), sub(N), mul(N), div(N); bool dgood = true;
for(ll j = 0; j < N; j++) {
add[j] = lhs[j]+rhs[j];
sub[j] = lhs[j]-rhs[j];
mul[j] = lhs[j]*rhs[j];
if(abs(rhs[j])>=.01) div[j] = lhs[j]/rhs[j]; else dgood = false;
}
if(nl >= nr) {
exprs[c].push_back(add);
ids[c].push_back(idc++);
history.push_back({2, ids[nl][i1], ids[nr][i2]});
exprs[c].push_back(mul);
ids[c].push_back(idc++);
history.push_back({3, ids[nl][i1], ids[nr][i2]});
}
exprs[c].push_back(sub);
ids[c].push_back(idc++);
history.push_back({4, ids[nl][i1], ids[nr][i2]});
if(dgood) {
exprs[c].push_back(div);
ids[c].push_back(idc++);
history.push_back({5, ids[nl][i1], ids[nr][i2]});
}
}
}
}
}
//cout << exprs.back().size() << "\n";
for(ll i = 0; i < 10; i++) {
for(ll j = 0; j < exprs[i].size(); j++) {
double mx = 0;
for(ll k = 0; k < N; k++) mx = max(mx, abs(exprs[i][j][k] - ps[k][1])/max((double)1.0, abs(ps[k][1])));
if(mx <= 1e-3) {
pprint(ids[i][j]); cout << "\n";
return 0;
}
}
}
}
詳細信息
Test #1:
score: 100
Accepted
time: 52ms
memory: 50744kb
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: 59ms
memory: 49736kb
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: 91ms
memory: 56020kb
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: 91ms
memory: 56156kb
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: 96ms
memory: 58040kb
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: 99ms
memory: 58600kb
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: 88ms
memory: 58044kb
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: 274ms
memory: 120848kb
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: 262ms
memory: 110008kb
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: 290ms
memory: 120620kb
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:
(sin(x)+x)
result:
ok great!!
Test #11:
score: 0
Accepted
time: 249ms
memory: 100352kb
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: 295ms
memory: 120580kb
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:
((sin(x)*x)*cos(x))
result:
ok great!!
Test #13:
score: 0
Accepted
time: 252ms
memory: 111088kb
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: 294ms
memory: 121668kb
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: 290ms
memory: 120836kb
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: 263ms
memory: 108124kb
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: 294ms
memory: 122816kb
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(sin((x+x)))+sin(x))))
result:
ok great!!
Test #18:
score: 0
Accepted
time: 164ms
memory: 70544kb
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((cos((x-x))+x))))
result:
ok great!!
Test #19:
score: 0
Accepted
time: 279ms
memory: 121108kb
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: 261ms
memory: 121468kb
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: 152ms
memory: 70724kb
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: 147ms
memory: 78644kb
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: 42ms
memory: 39980kb
input:
1 31.424306 31.456129
output:
(x/cos(x))
result:
ok great!!
Test #24:
score: 0
Accepted
time: 272ms
memory: 110704kb
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: 283ms
memory: 121496kb
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: 43ms
memory: 35788kb
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: 81ms
memory: 52824kb
input:
4 1.560797 17.311340 1.000000 0.616661 2.000000 -0.369041 3.000000 -0.166678
output:
(cos(sin(x))/((x+x)*cos(x)))
result:
ok great!!
Test #28:
score: 0
Accepted
time: 73ms
memory: 52556kb
input:
4 0.020000 0.712709 1.000000 0.577284 2.000000 0.964383 3.000000 0.786224
output:
cos(sin((cos(sin(cos((x/x))))+x)))
result:
ok great!!
Test #29:
score: 0
Accepted
time: 27ms
memory: 41352kb
input:
1 10.000000 9.990000
output:
(cos((sin(x)/x))*x)
result:
ok great!!
Test #30:
score: 0
Accepted
time: 57ms
memory: 46768kb
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: 275ms
memory: 109532kb
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: 304ms
memory: 120548kb
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: 304ms
memory: 120044kb
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)+(sin(x)+x))
result:
ok great!!
Test #34:
score: 0
Accepted
time: 262ms
memory: 109684kb
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: 300ms
memory: 122956kb
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)*(sin(x)*x))
result:
ok great!!
Test #36:
score: 0
Accepted
time: 294ms
memory: 122280kb
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: 170ms
memory: 72488kb
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!!