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 |
---|---|---|---|---|---|---|---|---|---|
#178498 | #6395. Equation Discovering | ucup-team1600 | WA | 0ms | 4304kb | C++20 | 188.2kb | 2023-09-14 01:31:45 | 2023-09-14 01:31:46 |
Judging History
answer
//#pragma GCC optimize("Ofast", "unroll-loops")
//#pragma GCC target("sse", "sse2", "sse3", "ssse3", "sse4")
#ifdef __APPLE__
#include <iostream>
#include <cmath>
#include <algorithm>
#include <stdio.h>
#include <cstdint>
#include <cstring>
#include <string>
#include <cstdlib>
#include <vector>
#include <bitset>
#include <map>
#include <queue>
#include <ctime>
#include <stack>
#include <set>
#include <list>
#include <random>
#include <deque>
#include <functional>
#include <iomanip>
#include <sstream>
#include <fstream>
#include <complex>
#include <numeric>
#include <cassert>
#include <array>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <thread>
#else
#include <bits/stdc++.h>
#endif
#define all(a) a.begin(),a.end()
#define len(a) (int)(a.size())
#define mp make_pair
#define pb push_back
#define fir first
#define sec second
#define fi first
#define se second
using namespace std;
typedef pair<int, int> pii;
typedef long long ll;
typedef double ld;
template<typename T>
bool umin(T &a, T b) {
if (b < a) {
a = b;
return true;
}
return false;
}
template<typename T>
bool umax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
#if __APPLE__
#define D for (bool _FLAG = true; _FLAG; _FLAG = false)
#define LOG(...) print(#__VA_ARGS__" ::", __VA_ARGS__) << endl
template<class ...Ts>
auto &print(Ts ...ts) { return ((cerr << ts << " "), ...); }
#else
#define D while (false)
#define LOG(...)
#endif
const int max_n = -1, inf = 1000111222;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
string s[9] = {"x", "(", ")", "sin", "cos", "+", "-", "*", "/"};
int adds_complexity[9] = {0, 0, 0, 1, 1, 2, 2, 2, 2};
int can_go[9][9];
vector<int> cur_S;
int am_S = 0;
set<string> done, without_s;
ll ans = 0;
string 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+x/c(x/x),x+x+x+(x+c(x)),x+x+x+x+c(x),x+x+x+x,x+x+x+(x+s(x)),x+x+x+x+s(x),x+x+x+x-c(x),x+x+x+(x-c(x)),(x+x+x)/c(c(x)),(x+x+x)/c(c(c(x))),x+x+x-x/c(x),x/c(x/c(c(x))/x),x/c(x/x/c(c(x))),x/c(x/c(x)/x),x/c(x/x/c(x)),x+(x+x)/c(x/x),x/c(c(x)/c(x/x)),x+x+x+x+x,x/c(x/c(x/x)),(x+x+x)/c(x/x),s(x)*x/(x/x/x),s(x)/(x/x/x/x),s(c(x))/(c(x)/x/x),s(x)*x/(c(c(x))/x),s(x)/(c(c(x))/x/x),s(x)*(x/(c(c(x))/x)),(x+s(x+x))*x,(x+s(s(x+x)))*x,(x+s(s(s(x+x))))*x,(x+c(x))/(x/x/x),x*c(x)/(c(x)/x),x/(c(x)/x/c(x)),s(x)+s(x)+x*x,s(x)+(s(x)+x*x),s(x)+s(s(x))+x*x,s(x)+(s(s(x))+x*x),s(s(x)+s(x))+x*x,s(x+x+x)+x*x,s(x)+x*x/(x/x),s(s(x))+x*x,s(s(s(x)))+x*x,s(s(s(s(x))))+x*x,s(s(s(s(s(x)))))+x*x,s(x+s(s(x)))+x*x,s(x+s(x))+x*x,s(s(x+s(x)))+x*x,x*x/(x/x),x*(x/c(c(x)/x)),x*x/c(c(x)/x),x*x/c(c(c(x))/x),x*x/c(x/x/x),x*(x/c(x/x/x)),s(s(s(x+x)))+x*x,s(s(x+x))+x*x,s(x+x)+x*x,c(x)/(c(x)/x/x),s(x)+x/(x/x/x),x/(x/x/x),x/(c(c(x)/x)/x),x/(c(c(c(x))/x)/x),x/(c(x/x/x)/x),x+(x+s(x+x))*x,(x+s(s(x+s(x))))*x,(x+s(x+s(x)))*x,(x+s(x+s(s(x))))*x,(x+s(s(s(s(s(x))))))*x,(x+s(s(s(s(x)))))*x,(x+s(s(s(x))))*x,s(x)+(x+s(s(x)))*x,(x+s(s(x)))*x,s(x)+(x+s(x))*x,s(s(x))+(x+s(x))*x,(x+s(x))*x/(x/x),(x+s(x))/(x/x/x),(x-c(x))/(x/x/x),(x+s(x+x+x))*x,(x+s(s(x)+s(x)))*x,x+s(x)+x*x,x+s(s(x))+x*x,x+s(s(s(x)))+x*x,x+x*x/(x/x),x+s(x+x)+x*x,x+x/(x/x/x),(x+s(x)+s(s(x)))*x,(x+(s(x)+s(s(x))))*x,(x+(s(x)+s(x)))*x,(x+s(x)+s(x))*x,x+(x+s(s(s(x))))*x,x+(x+s(s(x)))*x,x+(x+s(x))*x,x+x+s(x)+x*x,x+x+x*x,x+s(x)+(x+x*x),x+(x+x*x),x+x+(x+s(x))*x,x+(x+(x+s(x))*x),x+x+x+x*x,x+(x+(x+x*x)),x*x/c(c(x/x)),x*(x/c(c(x/x))),(x+c(x))/(c(c(x))/x),s(x)+x*(x/c(c(x))),x*(x/c(c(x))),(s(x)+x*x)/c(c(x)),s(x)+x*x/c(c(x)),s(x)+x/(c(c(x))/x),x*x/c(c(x)),x/(c(c(x))/x),(x+s(x))*(x/c(c(x))),(x+s(x))/(c(c(x))/x),(x+s(x))*x/c(c(x)),(x-c(x))/(c(c(x))/x),x+x*(x/c(c(x))),x+x*x/c(c(x)),x+x/(c(c(x))/x),(x+x*x)/c(c(x)),x*x/c(c(c(c(x)))),x*(x/c(c(c(c(x))))),x/(c(c(c(c(c(x)))))/x),x*x/c(c(c(c(c(x))))),x*(x/c(c(c(c(c(x)))))),x*x/c(c(c(x))),x/(c(c(c(x)))/x),x+x*x/c(c(c(x))),x+x/(c(c(c(x)))/x),(x+x*x)/c(c(c(x))),(s(x)-x)/(c(x)/x),(s(s(x))-x)/(c(x)/x),s(x)-x/(c(x)/x),s(s(x))-x/(c(x)/x),x-x/(c(x)/x),x+x-x/(c(x)/x),x*x/c(c(x/c(x))),x/(c(c(x/c(x)))/x),x*(x/c(c(x/c(x)))),x/(c(c(c(x/x)))/x),x*x/c(c(c(x/x))),x*(x/c(c(c(x/x)))),x*(x/c(x))/c(x),x/c(x)/(c(x)/x),x/(c(x)/(x/c(x))),x*x/c(x)/c(x),x*x/c(c(c(x)/x)),x*x/c(x/x),x*(x/c(c(c(x)/x))),x*(x/c(x/x)),x/(c(x/x)/x),x+x*x/c(x/x),x+x*(x/c(x/x)),x+x/(c(x/x)/x),(x+x*x)/c(x/x),(x+x+s(x+x))*x,(x+s(x+x)+x)*x,s(x)+(x+x)*x,s(s(x))+(x+x)*x,s(s(s(x)))+(x+x)*x,(x+x)*x/(x/x),s(x+x)+(x+x)*x,(x+x)/(x/x/x),(x+x+s(s(s(x))))*x,(x+s(s(s(x)))+x)*x,(x+x+s(s(x)))*x,(x+x+s(x))*x,(x+s(x)+x)*x,x+s(x)+(x+x)*x,x+(x+x)*x,x+(x+x+s(x))*x,x+(x+s(x)+x)*x,x+x+(x+x)*x,(x+x)*(x/c(c(x))),(x+x)*x/c(c(x)),(x+x)/(c(c(x))/x),(x+x)*x/c(c(c(x))),(x+x)/(c(c(c(x)))/x),s(x)+(x+x+x)*x,(x+x+x)*x,(x+x+s(x)+x)*x,(x+x+x+s(x))*x,x+(x+x+x)*x,(x+x)*x/c(x/x),(x+x)*(x/c(x/x)),(x+x)/(c(x/x)/x),(x+x+x+x)*x,x*x/(x/x/x),x/(x/x/x/x),x*(x/(x/x/x)),x*(x/(c(c(x))/x)),x*x/(c(c(x))/x),x/(c(c(c(x)))/x/x),x*x/(c(c(c(x)))/x),x-x/(c(x)/x/x),x*(x/(c(x/x)/x)),x/(c(x/x)/x/x),x*x/(c(x/x)/x),";
void go(string cur, int complexity) {
if(done.count(cur)) return;
done.insert(cur);
if(!count(all(cur), 'S')) {
without_s.insert(cur);
int am1 = count(all(cur), '1'), am2 = count(all(cur), '2');
ll totam = 1;
while(am1--) totam *= 4;
while(am2--) totam *= 2;
ans += totam;
}
if(complexity > 9) return;
for(int i = 0; i < len(cur); i++)
if(cur[i] == 'S') {
string base = cur;
base.erase(i, 1);
string n_cur = base;
n_cur.insert(i, "S1S"); //'1' is in {+, -, x, /}
go(n_cur, complexity + 2);
n_cur = base;
n_cur.insert(i, "2(S)"); //'2' is either sin or cos
go(n_cur, complexity + 1);
n_cur = base;
n_cur.insert(i, "x");
go(n_cur, complexity);
if(i + 1 < len(cur) && i - 1 >= 0 && cur[i - 1] == '(' && cur[i + 1] == ')') continue;
n_cur = base;
n_cur.insert(i, "(S)");
go(n_cur, complexity);
// break;
}
}
void go(int am_op, int am_cl, int complexity, int lst) {
if(am_op == am_cl && (lst == 0 || lst == 2)) {
am_S++;
string SS;
for(auto& cr : cur_S) SS += s[cr];
}
for(int nxt = 0; nxt <= 8; nxt++)
if((lst == -1 && (nxt == 0 || nxt == 1 || nxt == 3 || nxt == 4)) || (lst != -1 && can_go[lst][nxt])) {
if(nxt == 2 && am_cl + 1 > am_op) continue;
if(nxt == 1 && am_op + 1 >= 10) continue;
if(complexity + adds_complexity[nxt] > 9) continue;
cur_S.pb(nxt);
go(am_op + (nxt == 1), am_cl + (nxt == 2), complexity + adds_complexity[nxt], nxt);
cur_S.pop_back();
}
}
inline ld calc (vector <ld> a) {
vector <ld> have;
for (ld x : a) {
if (x == -inf - 1) {
have.pb(x);
}
else if (x == -inf - 2) {
have.pb(x);
}
else if (x == -inf - 3) {
have.pb(x);
}
else if (x == -inf - 4) {
have.pb(x);
}
else {
bool ok = false;
if (!have.empty()) {
if (have.back() == -inf - 1) {
}
else if (have.back() == -inf - 2) {
}
else if (have.back() == -inf - 3) {
ok = true;
have.pop_back();
have.back() *= x;
}
else if (have.back() == -inf - 4) {
ok = true;
have.pop_back();
have.back() /= x;
}
}
if (!ok) {
have.pb(x);
}
}
}
ld res = have[0];
for (int i = 1; i < len(have); i += 2) {
if (have[i] == -inf - 1) {
res += have[i + 1];
}
else {
res -= have[i + 1];
}
}
return res;
}
inline ld get (string s, ld x) {
vector <ld> have;
for (int i = 0; i < len(s); i++) {
if (s[i] == '(') {
have.pb(-inf);
}
else if (s[i] == ')') {
vector <ld> cur;
while (have.back() != -inf) {
cur.pb(have.back());
have.pop_back();
}
have.pop_back();
reverse(all(cur));
ld res = calc(cur);
if (!have.empty()) {
if (have.back() == -inf - 5) {
res = cos(res);
have.pop_back();
}
else
if (have.back() == -inf - 6) {
res = sin(res);
have.pop_back();
}
}
have.pb(res);
}
else {
if (s[i] == 'x') {
have.pb(x);
}
else if (s[i] == '+') {
have.pb(-inf - 1);
}
else if (s[i] == '-') {
have.pb(-inf - 2);
}
else if (s[i] == '*') {
have.pb(-inf - 3);
}
else if (s[i] == 's') {
have.pb(-inf - 6);
}
else if (s[i] == 'c') {
have.pb(-inf - 5);
}
else {
assert(s[i] == '/');
have.pb(-inf - 4);
}
}
}
return calc(have);
}
vector<ld> xs(15);
map<vector<ld>, string> different;
char op1[4] = {'+', '-', '*', '/'};
char op2[2] = {'s', 'c'};
void kek(string& s, int pos) {
if(pos == len(s)) {
vector<ld> ys(5);
for(int i = 0; i < 5; i++) ys[i] = get(s, xs[i]);
different[ys] = s;
} else {
if(s[pos] == '1') {
for(int it = 0; it < 4; it++) {
s[pos] = op1[it];
kek(s, pos + 1);
}
} else if(s[pos] == '2') {
for(int it = 0; it < 2; it++) {
s[pos] = op2[it];
kek(s, pos + 1);
}
} else kek(s, pos + 1);
}
}
ld eps = 1;
void solve() {
int n;
cin >> n;
xs.resize(n);
vector<ld> ys(n);
for(int i = 0; i < n; i++) {
cin >> xs[i] >> ys[i];
}
string cr;
for(auto& x : p) {
if(x == ',') {
bool ok = true;
for(int j = 0; j < n; j++) {
ld cur_y = get(cr, xs[j]);
// ok &= (cur_y == ys[j]);
ok &= (abs(cur_y - ys[j]) / max((ld)1, abs(ys[j])) <= eps);
}
if(ok) {
for(auto& X : cr) {
cout << X;
if(X == 's') cout << "in";
else if(X == 'c') cout << "os";
}
return;
}
cr.clear();
} else cr += x;
}
cout << "NOT FOUND";
// exit(-1);
// go("S", 0);
////// cout << len(without_s) << '\n';
//////// cout << ans << '\n';
//// for(auto& x : without_s) cout << x << '\n';
// for(int i = 0; i < 15; i++) xs[i] = rng() % 2000 - 1000;
// for(auto& curs : without_s) {
// string ccurs = curs;
// kek(ccurs, 0);
// }
//// cout << len(different) << '\n';
//// int pos = 0;
// cout << "p=\"";
// for(auto& x : different) {
// cout << x.se << ',';
//// cout << "\"" << x.se << "\"" << ',';
//// cout << "precalc[" << pos << "] = " "\"" << x.se << "\";\n";
//// pos++;
// }
// cout << "\"\n";
//// for(int i = 5; i <= 8; i++) can_go[0][i] = true;
//// can_go[0][2] = true;
//// can_go[1][0] = can_go[1][3] = can_go[1][4] = true;
////// can_go[1][1] = true;
//// for(int i = 5; i <= 8; i++) can_go[2][i] = true;
//// can_go[2][2] = true;
//// can_go[3][1] = true;
//// can_go[4][1] = true;
//// can_go[5][0] = can_go[5][3] = can_go[5][4] = true;
//// can_go[6][0] = can_go[6][3] = can_go[6][4] = true;
//// can_go[7][0] = can_go[7][3] = can_go[7][4] = true;
//// can_go[8][0] = can_go[8][3] = can_go[8][4] = true;
//// go(0, 0, 0, -1);
//// cout << "DONE" << endl;
//// cout << am_S << '\n';
}
signed main() {
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t = 1;
//cin >> t;
while (t--) solve();
}
/*
KIVI
*/
詳細信息
Test #1:
score: 0
Wrong Answer
time: 0ms
memory: 4304kb
input:
3 1.000000 1.000000 2.000000 4.000000 3.000000 9.000000
output:
sin(x*cos(x))/(cos(x)/x)
result:
wrong answer fail to discover