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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 Discoveringucup-team1600WA 0ms4304kbC++20188.2kb2023-09-14 01:31:452023-09-14 01:31:46

Judging History

你现在查看的是最新测评结果

  • [2023-09-14 01:31:46]
  • 评测
  • 测评结果:WA
  • 用时:0ms
  • 内存:4304kb
  • [2023-09-14 01:31:45]
  • 提交

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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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
*/

详细

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