QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#249367 | #6395. Equation Discovering | real_sigma_team | WA | 111ms | 44836kb | C++20 | 2.6kb | 2023-11-12 04:36:33 | 2023-11-12 04:36:34 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define sz(x) (int)x.size()
#define all(x) x.begin(),x.end()
using ll = long long;
using ld = long double;
string ops[] = {"+", "*", "/", "-"};
string un[] = {"sin", "cos"};
const int N = 10;
vector<string>s[N];
const ld inf = 1e18;
const ld eps = 1e-6;
bool equal(ld x, ld y){
return fabs(x - y) < eps;
}
bool ok;
ld Cos(ld x){
return cos(x);
}
ld Sin(ld x){
return sin(x);
}
ld Div(ld x, ld y){
if(abs(y) <= 1e-4){
ok = false;
return inf;
}
return x / y;
}
ld Plu(ld x, ld y){
return x + y;
}
ld Min(ld x, ld y){
return x - y;
}
ld Mul(ld x, ld y){
return x * y;
}
function<ld(ld)> Un[] = {Sin, Cos};
function<ld(ld, ld)> Ops[] = {Plu, Mul, Div, Min};
vector<ld> rem[N];
vector<vector<int>>Go[N];
void gen(int diff){
vector<vector<int>>go;
int Mid = sz(Go[diff - 1]);
for(int s_ = 0; s_ < Mid; s_++)
for(int u = 0; u < 2; u++)
go.push_back({diff - 1, s_, -1, u});
if(diff >= 2){
for(int l = 0; l <= diff - 2; l++){
int r = diff - 2 - l;
if(r > l)
continue;
int L = sz(Go[l]);
int R = sz(Go[r]);
for(int l_ = 0; l_ < L; l_++)
for(int r_ = 0; r_ < R; r_++){
for(int u = 0; u < 4; u++){
go.push_back({l, l_, r_, u});
}
for(int u = 2; u < 4; u++){
go.push_back({r, r_, l_, u});
}
}
}
}
Go[diff] = go;
return;
}
ld x[20], y[20];
ld getvl(int diff, int ind, ld curX){
if(diff == 0)
return curX;
vector<int> g = Go[diff][ind];
int l = g[0];
if(l == diff - 1)
return Un[g[3]](getvl(l, g[1], curX));
int r = diff - 2 - l;
return Ops[g[3]](getvl(l, g[1], curX), getvl(r, g[2], curX));
}
string genStr(int diff, int ind){
if(diff == 0)
return "x";
vector<int> g = Go[diff][ind];
int l = g[0];
if(l == diff - 1)
return un[g[3]] + "(" + genStr(l, g[1]) + ")";
int r = diff - 2 - l;
return "(" + genStr(l, g[1]) + ")" + ops[g[3]] + "(" + genStr(r, g[2]) + ")";
}
void solve(){
int n;
cin >> n;
for(int i = 0 ; i < n; i++){
cin >> x[i] >> y[i];
}
Go[0] = vector<vector<int>>(1, vector<int>());
for(int i = 1; i < N; i++)
gen(i);
for(int Sz = 0; Sz < N; Sz++){
for(int seq = 0; seq < Go[Sz].size(); seq++){
bool eq = true;
for(int i = 0; i < n; i++){
ok = true;
ld res = getvl(Sz, seq, x[i]);
if(!ok || !equal(res, y[i])){
eq = false;
break;
}
}
if(eq){
cout << genStr(Sz, seq);
return;
}
}
}
}
int main() {
cin.tie(nullptr) -> sync_with_stdio(false);
solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 24ms
memory: 43652kb
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: 23ms
memory: 43092kb
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: 26ms
memory: 43476kb
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: 22ms
memory: 44040kb
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: 23ms
memory: 43984kb
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: 30ms
memory: 43404kb
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: 14ms
memory: 44816kb
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: 70ms
memory: 43920kb
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: 32ms
memory: 43180kb
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: 28ms
memory: 43068kb
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: 26ms
memory: 43700kb
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: 24ms
memory: 43720kb
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: 26ms
memory: 44204kb
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: 24ms
memory: 44372kb
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: 15ms
memory: 44288kb
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: 111ms
memory: 44836kb
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: 64ms
memory: 43728kb
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: -100
Wrong Answer
time: 25ms
memory: 44724kb
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