QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#135677 | #6395. Equation Discovering | UrgantTeam | WA | 1376ms | 160048kb | C++23 | 6.6kb | 2023-08-05 21:27:59 | 2023-08-05 21:28:01 |
Judging History
answer
#include <bits/stdc++.h>
#define pb push_back
#define mp make_pair
#define x first
#define y second
using namespace std;
typedef long double ld;
typedef long long ll;
const ld EPS = 0.005;
const ld EPS_RES = 1e-4;
struct Node
{
int opcode;
int son[2];
};
ld valx[25], valy[25];
ld result[25][1005];
vector <vector <Node> > generate_expr(int deep, int state)
{
if (state == 0)
{
return generate_expr(deep, 1);
}
if (state == 1)
{
vector <vector <Node> > A = generate_expr(deep, 2);
for (int lef = 0; lef <= deep - 2; lef++)
{
int rig = deep - 2 - lef;
vector <vector <Node> > B = generate_expr(lef, 0);
vector <vector <Node> > C = generate_expr(rig, 0);
for (const auto &x : B)
for (const auto &y : C)
{
vector <Node> D = x;
for (const auto &z : y) D.pb(z);
Node new_node;
new_node.opcode = 2;
new_node.son[0] = (int) y.size() + 1;
new_node.son[1] = 1;
D.pb(new_node);
vector <Node> E = x;
for (const auto &z : y) E.pb(z);
new_node.opcode = 3;
new_node.son[0] = (int) y.size() + 1;
new_node.son[1] = 1;
E.pb(new_node);
A.pb(D), A.pb(E);
}
}
return A;
}
if (state == 2)
{
vector <vector <Node> > A = generate_expr(deep, 3);
for (int lef = 0; lef <= deep - 2; lef++)
{
int rig = deep - 2 - lef;
{
vector <vector <Node> > B = generate_expr(lef, 0);
vector <vector <Node> > C = generate_expr(rig, 0);
for (const auto &x : B)
for (const auto &y : C)
{
vector <Node> D = x;
for (const auto &z : y) D.pb(z);
Node new_node;
new_node.opcode = 4;
new_node.son[0] = (int) y.size() + 1;
new_node.son[1] = 1;
D.pb(new_node);
vector <Node> E = x;
for (const auto &z : y) E.pb(z);
new_node.opcode = 5;
new_node.son[0] = (int) y.size() + 1;
new_node.son[1] = 1;
E.pb(new_node);
A.pb(D), A.pb(E);
}
}
}
return A;
}
if (state == 3)
{
if (deep == 0)
{
Node new_node;
new_node.opcode = 6;
return {{new_node}};
}
vector <vector <Node> > A = generate_expr(deep - 1, 0);
vector <vector <Node> > res;
for (const auto &x : A)
{
vector <Node> B = x, C = x;
Node new_node;
new_node.opcode = 0;
new_node.son[0] = 1;
B.pb(new_node);
new_node.opcode = 1;
new_node.son[0] = 1;
C.pb(new_node);
res.pb(B), res.pb(C);
}
return res;
}
return {};
}
string recover_answer(vector <Node> tree)
{
Node last = tree.back();
string ans;
if (last.opcode == 0)
{
string L = recover_answer(vector <Node>(tree.begin(), tree.begin() + (int) tree.size() - 1));
ans = "sin(" + L + ")";
}
if (last.opcode == 1)
{
string L = recover_answer(vector <Node>(tree.begin(), tree.begin() + (int) tree.size() - 1));
ans = "cos(" + L + ")";
}
if (last.opcode == 2)
{
int lef = last.son[0];
string L = recover_answer(vector <Node>(tree.begin(), tree.begin() + (int) tree.size() - lef));
string R = recover_answer(vector <Node>(tree.begin() + (int) tree.size() - lef, tree.begin() + (int) tree.size() - 1));
ans = "(" + L + ")+(" + R + ")";
}
if (last.opcode == 3)
{
int lef = last.son[0];
string L = recover_answer(vector <Node>(tree.begin(), tree.begin() + (int) tree.size() - lef));
string R = recover_answer(vector <Node>(tree.begin() + (int) tree.size() - lef, tree.begin() + (int) tree.size() - 1));
ans = "(" + L + ")-(" + R + ")";
}
if (last.opcode == 4)
{
int lef = last.son[0];
string L = recover_answer(vector <Node>(tree.begin(), tree.begin() + (int) tree.size() - lef));
string R = recover_answer(vector <Node>(tree.begin() + (int) tree.size() - lef, tree.begin() + (int) tree.size() - 1));
ans = "(" + L + ")/(" + R + ")";
}
if (last.opcode == 5)
{
int lef = last.son[0];
string L = recover_answer(vector <Node>(tree.begin(), tree.begin() + (int) tree.size() - lef));
string R = recover_answer(vector <Node>(tree.begin() + (int) tree.size() - lef, tree.begin() + (int) tree.size() - 1));
ans = "(" + L + ")*(" + R + ")";
}
if (last.opcode == 6)
{
ans = "x";
}
return ans;
}
int main()
{
//freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
ios_base::sync_with_stdio(0); cin.tie(0);
int n;
cin >> n;
for (int i = 1; i <= n; i++) cin >> valx[i] >> valy[i];
vector <vector <Node> > all_var;
for (int i = 0; i <= 9; i++)
{
vector <vector <Node> > res = generate_expr(i, 0);
for (const auto &x : res) all_var.pb(x);
}
for (const auto &tree : all_var)
{
bool FLAG = true;
for (int num = 0; num < (int) tree.size(); num++)
{
const Node &node = tree[num];
if (node.opcode == 0)
{
int pr = num - node.son[0];
for (int i = 1; i <= n; i++) result[i][num] = sin(result[i][pr]);
}
if (node.opcode == 1)
{
int pr = num - node.son[0];
for (int i = 1; i <= n; i++) result[i][num] = cos(result[i][pr]);
}
if (node.opcode == 2)
{
int lef = num - node.son[0];
int rig = num - node.son[1];
for (int i = 1; i <= n; i++) result[i][num] = result[i][lef] + result[i][rig];
}
if (node.opcode == 3)
{
int lef = num - node.son[0];
int rig = num - node.son[1];
for (int i = 1; i <= n; i++) result[i][num] = result[i][lef] - result[i][rig];
}
if (node.opcode == 4)
{
int lef = num - node.son[0];
int rig = num - node.son[1];
for (int i = 1; i <= n; i++)
{
if (fabs(result[i][rig]) < EPS) {FLAG = false; continue;}
result[i][num] = result[i][lef] / result[i][rig];
}
}
if (node.opcode == 5)
{
int lef = num - node.son[0];
int rig = num - node.son[1];
for (int i = 1; i <= n; i++) result[i][num] = result[i][lef] * result[i][rig];
}
if (node.opcode == 6)
{
for (int i = 1; i <= n; i++) result[i][num] = valx[i];
}
}
//cout << recover_answer(tree) << '\n';
if (!FLAG) continue;
bool ANS = true;
for (int i = 1; i <= n; i++)
if (fabs(valy[i] - result[i][(int) tree.size() - 1]) > EPS_RES) ANS = false;
if (!ANS) continue;
string ans = recover_answer(tree);
cout << ans << '\n';
exit(0);
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 94ms
memory: 158924kb
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: 89ms
memory: 159628kb
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: 89ms
memory: 157616kb
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: 108ms
memory: 159624kb
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: 107ms
memory: 158460kb
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: 81ms
memory: 159292kb
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: 85ms
memory: 159428kb
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: 515ms
memory: 157356kb
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: 243ms
memory: 157976kb
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: 93ms
memory: 157240kb
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: 111ms
memory: 157576kb
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: 92ms
memory: 159976kb
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: 91ms
memory: 158100kb
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: 104ms
memory: 158420kb
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: 88ms
memory: 158384kb
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: 1376ms
memory: 158540kb
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: 547ms
memory: 159696kb
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: 163ms
memory: 157020kb
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: 83ms
memory: 158660kb
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: 99ms
memory: 160048kb
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: 112ms
memory: 158716kb
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: -100
Wrong Answer
time: 90ms
memory: 158756kb
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(((x)+(x))/(x)))
result:
wrong answer div a small number