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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 |
---|---|---|---|---|---|---|---|---|---|
#241991 | #6395. Equation Discovering | ucup-team902 | WA | 1874ms | 14252kb | C++14 | 5.3kb | 2023-11-06 20:55:30 | 2023-11-06 20:55:30 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define gc c=getchar()
#define r(x) read(x)
#define ull unsigned long long
#define db long double
valarray<db> x_arr;
valarray<db> y_arr;
map<int, ull> val;
struct tree{
vector<vector<int>> G;
vector<int>ops;
vector<int>leaf;
int comp;
tree(){
G.resize(1);
ops.push_back(-1);
leaf.push_back(0);
comp = 0;
}
tree(const tree &T, int x, int op){
G = T.G;
ops = T.ops;
for(auto &v: T.leaf){
if(v != x){
leaf.push_back(v);
}
}
comp = T.comp;
assert(ops[x] == -1);
assert(G[x].empty());
ops[x] = op;
if(op < 4){
int u = G.size();
int v = G.size() + 1;
G.resize(G.size() + 2);
G[x].push_back(u);
G[x].push_back(v);
ops.push_back(-1);
ops.push_back(-1);
leaf.push_back(u);
leaf.push_back(v);
comp += 2;
}
else{
int u = G.size();
G[x].push_back(u);
G.resize(G.size() + 1);
ops.push_back(-1);
leaf.push_back(u);
comp += 1;
}
}
valarray<db> dfs(int x) const{
if(ops[x] == -1){
return x_arr;
}
if(ops[x] < 4){
auto a = dfs(G[x][0]);
if(a.size() != x_arr.size()){
return a;
}
auto b = dfs(G[x][1]);
if(b.size() != x_arr.size()){
return b;
}
if(ops[x] == 0){
return a + b;
}
if(ops[x] == 1){
return a - b;
}
if(ops[x] == 2){
return a * b;
}
if(ops[x] == 3){
for(auto &v: b){
if(abs(v) < 1e-7){
return valarray<db>();
}
}
return a / b;
}
}
else{
auto a = dfs(G[x][0]);
if(a.size() != x_arr.size()){
return a;
}
if(ops[x] == 4){
return sin(a);
}
if(ops[x] == 5){
return cos(a);
}
}
assert(0);
}
void out(int x) const{
if(ops[x] == -1){
putchar('x');
return ;
}
if(ops[x] == 0){
putchar('(');
out(G[x][0]);
putchar('+');
out(G[x][1]);
putchar(')');
return ;
}
if(ops[x] == 1){
putchar('(');
out(G[x][0]);
putchar('-');
out(G[x][1]);
putchar(')');
return ;
}
if(ops[x] == 2){
putchar('(');
out(G[x][0]);
putchar('*');
out(G[x][1]);
putchar(')');
return ;
}
if(ops[x] == 3){
putchar('(');
out(G[x][0]);
putchar('/');
out(G[x][1]);
putchar(')');
return ;
}
if(ops[x] == 4){
printf("sin(");
out(G[x][0]);
printf(")");
return ;
}
if(ops[x] == 5){
printf("cos(");
out(G[x][0]);
printf(")");
return ;
}
assert(0);
}
void check() const{
auto tmp = dfs(0);
if(tmp.size() != x_arr.size()) return ;
for(int i = 0; i < x_arr.size(); ++i){
if(tmp[i] != tmp[i]) return ;
// if(abs(tmp[i] - y_arr[i]) > 1e-7) return ;
if(round(tmp[i] * 1e6) != round(y_arr[i] * 1e6)){
return ;
}
}
out(0);
puts("");
exit(0);
}
ull Hash(int x = 0) const{
ull ret = val[ops[x]];
if(ops[x] == 1 || ops[x] == 3){
for(auto &v: G[x]){
ull t = Hash(v);
ret = ret * 137 + t * t * t;
}
}
else{
for(auto &v: G[x]){
ull t = Hash(v);
ret = ret + t * t * t;
}
}
return ret;
}
};
unordered_set<ull> vis;
void dfs(tree T0, int lst){
if(T0.comp > 9){
return ;
}
ull state = T0.Hash();
if(vis.find(state) != vis.end()) return ;
T0.check();
vis.insert(state);
for(auto &x: T0.leaf){
if(x <= lst) continue;
for(int i = 0; i < 3; ++i){
dfs(tree(T0, x, i), x);
}
for(int i = 4; i < 6; ++i){
dfs(tree(T0, x, i), x);
}
dfs(tree(T0, x, 3), x);
}
}
int main(){
// freopen(".in","r",stdin);
// freopen(".out","w",stdout);
for(int i = -1; i < 6; ++i){
val[i] = ((ull)rand() << 32) | (ull)rand();
}
int n; scanf("%d", &n);
x_arr.resize(n);
y_arr.resize(n);
for(int i = 0; i < n; ++i){
db x, y; scanf("%Lf%Lf", &x_arr[i], &y_arr[i]);
}
dfs(tree(), -1);
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 18ms
memory: 3816kb
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: 33ms
memory: 4012kb
input:
3 0.618000 1.517072 0.314000 3.132637 1.414000 0.494016
output:
((x-x)+(sin(x)/(x*x)))
result:
ok great!!
Test #3:
score: 0
Accepted
time: 1ms
memory: 3532kb
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: 34ms
memory: 4008kb
input:
5 25.032427 -0.100652 38.727324 1.658518 27.684334 -0.669555 64.282391 8.275303 52.640700 -0.962660
output:
((x-x)+(sin(x)/cos(x)))
result:
ok great!!
Test #5:
score: 0
Accepted
time: 51ms
memory: 4132kb
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: 26ms
memory: 3876kb
input:
5 -78.733375 0.503570 -20.187183 0.735779 -38.984992 0.730890 47.859232 0.622831 -19.657164 0.641512
output:
((x-x)+sin(sin(cos(cos(x)))))
result:
ok great!!
Test #7:
score: 0
Accepted
time: 24ms
memory: 3964kb
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))-sin(x))+sin(x))
result:
ok great!!
Test #8:
score: 0
Accepted
time: 1035ms
memory: 9244kb
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: 1874ms
memory: 14252kb
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:
(cos((x-x))/((x*x)*x))
result:
ok great!!
Test #10:
score: 0
Accepted
time: 2ms
memory: 3712kb
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)+(x-x))
result:
ok great!!
Test #11:
score: 0
Accepted
time: 23ms
memory: 3936kb
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:
((sin(x)-sin(x))+(x-sin(x)))
result:
ok great!!
Test #12:
score: 0
Accepted
time: 636ms
memory: 7956kb
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:
((cos(x)*x)*sin(x))
result:
ok great!!
Test #13:
score: 0
Accepted
time: 23ms
memory: 3688kb
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: 0ms
memory: 3532kb
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: 788ms
memory: 8252kb
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: 84ms
memory: 4128kb
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: 928ms
memory: 8708kb
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: 1061ms
memory: 9536kb
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: 23ms
memory: 3748kb
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: 25ms
memory: 3936kb
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)-sin(x))+(x-x))
result:
ok great!!
Test #21:
score: 0
Accepted
time: 862ms
memory: 8772kb
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: 1505ms
memory: 12748kb
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-x))+(x/x))))
result:
wrong answer div a small number