QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#150780 | #6395. Equation Discovering | aesthetic | WA | 568ms | 4284kb | C++14 | 3.2kb | 2023-08-26 09:49:48 | 2023-08-26 09:49:48 |
Judging History
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();
}
Details
Tip: Click on the bar to expand more detailed information
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