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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
#403000#7862. Land Tradeu2x1AC ✓1159ms17776kbC++206.7kb2024-05-01 19:25:452024-05-01 19:25:46

Judging History

你现在查看的是最新测评结果

  • [2024-05-01 19:25:46]
  • 评测
  • 测评结果:AC
  • 用时:1159ms
  • 内存:17776kb
  • [2024-05-01 19:25:45]
  • 提交

answer

#include "bits/stdc++.h"

#define all(x)   x.begin(), x.end()
#define NL       std::cout << '\n'

using lnt = long long;

const int inf = 0x3f3f3f3f;
const lnt linf = 1ll << 62;

using db = long double; const db eps = 1e-12;
int sgn(db x) { return (x < -eps ? -1 : x > eps); }

struct Pt { db x, y; };
std::istream& operator>>(std::istream& is, Pt &p) {
  int x, y; std::cin >> x >> y;
  p.x = x; p.y = y; return is;
}
std::ostream& operator<<(std::ostream& os, Pt p) {
	return os << "(" << p.x << "," << p.y << "),";
}

Pt operator-(Pt a, Pt b) { return { a.x - b.x, a.y - b.y }; }
Pt operator+(Pt a, Pt b) { return { a.x + b.x, a.y + b.y }; }
Pt operator*(Pt a, db x) { return { a.x * x, a.y * x }; }
Pt operator/(Pt a, db x) { return { a.x / x, a.y / x }; }
db dot(Pt a, Pt b) { return a.x * b.x + a.y * b.y; }
db det(Pt a, Pt b) { return a.x * b.y - a.y * b.x; }
bool operator==(Pt a, Pt b) { return !sgn(dot(a-b, a-b)); }
bool operator!=(Pt a, Pt b) { return sgn(dot(a-b, a-b)); }
bool operator<(Pt a, Pt b) { return a.x == b.x ? a.y < b.y : a.x < b.x; }
int side(Pt a, Pt b, Pt x) { return sgn(det(b-a, x-a)); }


struct Line { Pt s, t; };

Line lineFromEqa(db a, db b, db c) {
  Line v;
  if (sgn(b)) {
    v.s = { 0, -1. * c / b };
    v.t = v.s + Pt{ 1, -1. * a / b } ;
  } else {
    v.s = { -1 * c / a, 0 };
    v.t = { -1 * c / a, (a > 0 ? -1. : 1.) };
  }
  return v;
}

Pt intersect(Line a, Line b) {
  db v = det(a.t - a.s, b.s - a.s);
  db u = det(a.t - a.s, b.t - a.s);
  return (b.s * u - b.t * v) / (u - v);
}
bool para(Line a, Line b) {
  return !sgn(det(a.t - a.s, b.t - b.s));
}



std::pair<std::vector<Pt>, std::vector<Pt>>
                            hullCut(std::vector<Pt> &hull, Line a) {
  int l = -1, r = -1; Pt il, ir;
  for (int i = hull.size() - 1, j = 0; j < hull.size(); i = j++) {
    auto &u = hull[i], &v = hull[j];
    int s1 = side(a.s, a.t, u), s2 = side(a.s, a.t, v);
    if (!s1 && !s2) { return {hull, {}}; }
    if (s1 * s2 <= 0) {
      if (l == -1) { l = j; il = intersect({u, v}, a); }
      else {
        Pt inter = intersect({u, v}, a);
        if (inter != il) { r = j; ir = inter; }
      }
    }
  }
  if (r == -1) { return { hull, {} }; }
  std::vector<Pt> lhs(hull.begin() + l, hull.begin() + r);
  if (lhs.empty() || ir != lhs.back()) { lhs.emplace_back(ir); }
  if (il != lhs.front()) { lhs.emplace_back(il);}
  std::vector<Pt> rhs(hull.begin() + r, hull.end());
  rhs.insert(rhs.end(), hull.begin(), hull.begin() + l);
  if (rhs.empty() || (il != rhs.back())) { rhs.emplace_back(il); }
  if (ir != rhs.front()) { rhs.emplace_back(ir); }
  return {lhs, rhs};
}

enum { ATOM = 128, AND, OR, XOR, NOT };

Pt polyCenter(std::vector<Pt> &v) {
  Pt ret {0, 0}; db s = 0;
  for (int j = 0, i = v.size() - 1; j < v.size(); i = j++) {
    ret = ret + (v[i] + v[j]) * det(v[i], v[j]);
    s += det(v[i], v[j]);
  }
  return ret / s / 3;
}

int main() {
  std::ios::sync_with_stdio(0), std::cin.tie(0);
  std::cout << std::fixed << std::setprecision(15);
  std::vector<std::vector<Pt>> polys(1);
  {
    int xmi, xmx, ymi, ymx; std::cin >> xmi >> xmx >> ymi >> ymx;
    polys[0].push_back({(db)xmi, (db)ymx});
    polys[0].push_back({(db)xmi, (db)ymi});
    polys[0].push_back({(db)xmx, (db)ymi});
    polys[0].push_back({(db)xmx, (db)ymx});
  }
  std::string raw; std::cin >> raw;

  Line tokenVal; int token;
  int p = 0;

  auto next = [&]() -> void {
    while (p != raw.size()) {
      token = raw[p++];
      if (token == '[') {
        static auto read = [&]() {
          int ret = 0; bool neg = 0;
          while (raw[p] == '-' || raw[p] == '+' || (raw[p] >= '0' && raw[p] <= '9')) {
            if (raw[p] == '-') { neg = !neg; }
            else if (raw[p] == '+') {  }
            else { ret = ret * 10 + raw[p] - '0'; }
            ++p;
          }
          if (neg) { ret = -ret; }
          return ret;
        };
        int a = read();
        ++p; // parse ','
        int b = read();
        ++p; // parse ','
        int cc = read();
        ++p; // parse ']'
        token = ATOM;

        tokenVal = lineFromEqa(a, b, cc);
        if (b < 0) { std::swap(tokenVal.s, tokenVal.t); }
        return;
      } else if (token == '&') {
        token = AND; return;
      } else if (token == '|') {
        token = OR; return;
      } else if (token == '^') {
        token = XOR; return;
      } else if (token == '!') {
        token = NOT; return;
      } else if (token == '(' || token == ')') {
        return;
      }
    }
  };

  auto expr1 = [&](auto &self, int level) -> void {
    if (token == ATOM) {
      std::vector<std::vector<Pt>> npolys; npolys.reserve(polys.size() * 2);
      for (auto poly : polys) {
        auto [a, b] = hullCut(poly, tokenVal);
        npolys.emplace_back(a);
        if (!b.empty()) { npolys.emplace_back(b); }
      }
      std::swap(npolys, polys);
      next();
    } else if (token == '(') {
      next();
      self(self, ATOM);
      next();
    } else if (token == NOT) {
      next();
      self(self, NOT);
    }

    while (token >= level) {
      if (token == AND) {
        next(); self(self, NOT);
      } else if (token == OR) {
        next(); self(self, NOT);
      } else if (token == XOR) {
        next(); self(self, NOT);
      } else if (token == NOT) {
        next(); self(self, NOT);
      }
    }
  };

  next(); expr1(expr1, ATOM);

  std::vector<bool> stk;
  Pt ct;
  auto expr2 = [&](auto &self, int level) -> void {
    if (token == ATOM) {
      stk.emplace_back(side(tokenVal.s, tokenVal.t, ct) >= 0);
      next();
    } else if (token == '(') {
      next();
      self(self, ATOM);
      next();
    } else if (token == NOT) {
      next();
      self(self, NOT);
      stk.back() = !stk.back();
    }

    while (token >= level) {
      if (token == AND) {
        next(); self(self, NOT);
        bool a = stk.back(); stk.pop_back();
        bool b = stk.back(); stk.pop_back();
        stk.emplace_back(a & b);
      } else if (token == OR) {
        next(); self(self, NOT);
        bool a = stk.back(); stk.pop_back();
        bool b = stk.back(); stk.pop_back();
        stk.emplace_back(a | b);
      } else if (token == XOR) {
        next(); self(self, NOT);
        bool a = stk.back(); stk.pop_back();
        bool b = stk.back(); stk.pop_back();
        stk.emplace_back(a ^ b);
      }
    }
  };

  db ret = 0;
  for (auto poly : polys) {
    ct = polyCenter(poly);
    p = 0; next(); expr2(expr2, ATOM);
    if (stk.back()) {
      for (int i = poly.size() - 1, j = 0; j < poly.size(); i = j++) {
        ret += det(poly[i], poly[j]);
      }
    }
    stk.pop_back();
  }

  std::cout << ret / 2;
  return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3808kb

input:

0 1 0 1
([-1,1,0]^[-1,-1,1])

output:

0.500000000000000

result:

ok found '0.5000000', expected '0.5000000', error '0.0000000'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

-5 10 -10 5
((!([1,2,-3]&[10,3,-2]))^([-2,3,1]|[5,-2,7]))

output:

70.451693404634581

result:

ok found '70.4516934', expected '70.4516934', error '0.0000000'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

0 1 -1 1
([1,1,1]&[-1,-1,-1])

output:

0.000000000000000

result:

ok found '0.0000000', expected '0.0000000', error '-0.0000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

0 1000 0 1000
(([1,-1,0]&[-1000,999,999])&([1,0,-998]&[0,1,-998]))

output:

0.000500000000073

result:

ok found '0.0005000', expected '0.0005000', error '0.0000000'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

-725 165 643 735
((((!(([22,15,137]|(!([23,-5,-41]^(!([2,25,-515]&[-37,10,487])))))&(!(([25,24,47]^([-24,21,-114]^[19,-7,79]))^[4,20,241]))))^(!((!((!(([30,-1,474]^([14,17,155]^[-31,-6,-153]))|[-15,-15,108]))|(([-26,-11,421]&[-15,-3,-224])&[14,-3,458])))^[9,20,-404])))^(!((!((!(([14,-6,-464]^[-11,8,...

output:

47063.334852441478418

result:

ok found '47063.3348524', expected '47063.3348524', error '0.0000000'

Test #6:

score: 0
Accepted
time: 1ms
memory: 3832kb

input:

767 957 738 941
((!(((!([3,-3,507]^[-30,-10,425]))^[-6,7,643])^((!((!([-11,0,450]^[21,17,-65]))&(!([17,0,64]^[-11,0,804]))))|[-31,10,-687])))&((!(([-34,12,-527]^(!([17,-14,-219]^(!([13,-27,-105]^(!([18,-47,-110]&(!([-9,-20,-455]^[-18,26,-228])))))))))^([-4,0,144]^[10,1,396])))^((!((!([35,0,-221]&[-5...

output:

36999.058655663216683

result:

ok found '36999.0586557', expected '36999.0586557', error '0.0000000'

Test #7:

score: 0
Accepted
time: 1159ms
memory: 16624kb

input:

-513 213 -733 114
(!((!((!((((!([2,16,-57]|[15,40,-272]))^((!(([0,26,315]|[5,-4,-336])^(!([-12,2,218]&([17,-16,-730]&[-7,3,-263])))))^[18,-7,29]))^[5,30,-126])^((!(((!((([8,9,406]^(!([-26,6,63]^[-38,-25,108])))^(([-9,20,220]^(!([-2,-27,213]^[29,16,-269])))|[-12,-4,-586]))^([30,0,-443]|(!((!([-17,0,3...

output:

295728.608103610679393

result:

ok found '295728.6081036', expected '295728.6081036', error '0.0000000'

Test #8:

score: 0
Accepted
time: 11ms
memory: 3924kb

input:

-517 -379 -789 477
(((!((!(([1,-12,191]^(!(((!([32,0,89]^[-35,6,33]))^[-3,6,-293])^[20,-39,77])))^(([16,15,-285]^[15,-7,430])^([20,3,-95]|(!((!(([-15,-27,339]^[-11,-13,221])^[33,28,596]))|([-17,21,402]^[22,16,90])))))))&(!((!((!([12,-1,-279]^[-30,-13,224]))^[-29,24,-33]))^([31,-19,288]^(!((!([-1,26,...

output:

107150.604879697182234

result:

ok found '107150.6048797', expected '107150.6048797', error '0.0000000'

Test #9:

score: 0
Accepted
time: 7ms
memory: 4324kb

input:

-477 275 -266 519
(!((!((!((!([-1,3,162]|[-32,16,269]))&(!(((((([-31,7,114]^([-12,7,-163]^[23,-10,159]))|(!(([0,-16,114]^[-33,15,-190])|(!([1,-22,308]^[-31,13,316])))))^((!([-12,29,-22]^(([23,15,-8]^[0,15,46])^[6,15,356])))^[22,13,-163]))^([18,17,487]^[28,23,143]))|(!(((!((!(([7,-45,-583]&([31,2,-22...

output:

335169.310517515870174

result:

ok found '335169.3105175', expected '335169.3105175', error '0.0000000'

Test #10:

score: 0
Accepted
time: 2ms
memory: 4004kb

input:

175 624 -835 683
(!(((!(([-32,30,-478]^[23,4,-120])^[28,33,413]))|(!((!((!((!([-15,-5,0]^(!((!(((!([0,-32,90]^[-9,-22,-7]))^[-10,-35,344])|(!([1,11,-235]|[-31,-6,-344]))))^(!((!([-15,0,-90]|[-17,-10,-153]))^[-1,6,-8]))))))^(!([8,-6,302]^[-2,4,91]))))|([13,28,-70]^[16,-11,-74])))^(((((!((!((([-5,8,45...

output:

411470.358504943449219

result:

ok found '411470.3585049', expected '411470.3585049', error '0.0000000'

Test #11:

score: 0
Accepted
time: 185ms
memory: 6760kb

input:

-1000 1000 -1000 1000
([1,0,-1000]^([0,1,-1000]^([1,0,-980]^([0,1,-980]^([1,0,-960]^([0,1,-960]^([1,0,-940]^([0,1,-940]^([1,0,-920]^([0,1,-920]^([1,0,-900]^([0,1,-900]^([1,0,-880]^([0,1,-880]^([1,0,-860]^([0,1,-860]^([1,0,-840]^([0,1,-840]^([1,0,-820]^([0,1,-820]^([1,0,-800]^([0,1,-800]^([1,0,-780]^...

output:

2000000.000000000000000

result:

ok found '2000000.0000000', expected '2000000.0000000', error '0.0000000'

Test #12:

score: 0
Accepted
time: 201ms
memory: 6784kb

input:

-500 500 -500 500
([2,-3,-1000]^([2,3,-1000]^([2,-3,-980]^([2,3,-980]^([2,-3,-960]^([2,3,-960]^([2,-3,-940]^([2,3,-940]^([2,-3,-920]^([2,3,-920]^([2,-3,-900]^([2,3,-900]^([2,-3,-880]^([2,3,-880]^([2,-3,-860]^([2,3,-860]^([2,-3,-840]^([2,3,-840]^([2,-3,-820]^([2,3,-820]^([2,-3,-800]^([2,3,-800]^([2,-...

output:

540000.000000000062585

result:

ok found '540000.0000000', expected '540000.0000000', error '0.0000000'

Test #13:

score: 0
Accepted
time: 24ms
memory: 4224kb

input:

-1000 1000 -1000 1000
([-57,281,0]^([478,81,0]^([-362,995,0]^([-339,614,0]^([491,769,0]^([673,486,0]^([-637,374,0]^([-204,383,0]^([-509,859,0]^([-973,757,0]^([-707,648,0]^([-792,409,0]^([-944,621,0]^([446,21,0]^([-553,473,0]^([795,704,0]^([-821,992,0]^([89,47,0]^([771,332,0]^([-845,259,0]^([271,867,...

output:

1823923.897152950193345

result:

ok found '1823923.8971530', expected '1823923.8971530', error '0.0000000'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

-1000 1000 -1000 1000
(([-27,-20,-237]^((([31,17,247]^[-4,-23,-917])^(![8,21,-342]))^((([-17,2,-281]&[-26,-31,186])|[31,-21,-697])|[-18,8,-512])))&[-5,19,-104])

output:

420530.734540940520077

result:

ok found '420530.7345409', expected '420530.7345409', error '0.0000000'

Test #15:

score: 0
Accepted
time: 561ms
memory: 11732kb

input:

-1000 1000 -1000 1000
((((!(((([31,17,247]^[-4,-23,-917])^(![8,21,-342]))^((([-17,2,-281]&[-26,-31,186])|[31,-21,-697])|[-18,8,-512]))^((!((!(!((([12,23,237]|[913,22,925])^[-14,11,-956])^[-9,-10,818])))|((([3,1,-213]^[-296,-13,171])&(!(!((!((!([-10,6,636]^[17,19,-546]))^([28,28,-698]|[-14,-4,-295]))...

output:

1479667.440785966119165

result:

ok found '1479667.4407860', expected '1479667.4407860', error '0.0000000'

Test #16:

score: 0
Accepted
time: 1159ms
memory: 17776kb

input:

-1000 1000 -1000 1000
(((((((((((([-15,-2,9]^[-168,-28,507])^[-31,-23,293])^[23,-1,-290])^(([26,-4,869]^(([24,2,522]^[-10,5,-918])^[-22,5,50]))^[16,-827,-276]))^(([-1,-24,-651]^([16,15,-332]^[-722,29,-330]))^([-19,-23,14]^[12,-18,289])))^(((([6,-29,803]^[8,-8,50])^((([9,-7,-112]^([23,-29,-827]^[-12,...

output:

1945479.957439870414987

result:

ok found '1945479.9574399', expected '1945479.9574399', error '0.0000000'

Test #17:

score: 0
Accepted
time: 5ms
memory: 3848kb

input:

0 1000 0 1000
(((((((([85,-100,0]^[21,-100,0])^[55,-100,0])^([29,-100,0]^([47,-100,0]^([78,-100,0]^([13,-100,0]^([100,-11,0]^[86,-100,0]))))))^(([48,-100,0]^[35,-100,0])^((([39,-100,0]^[98,-100,0])^([9,-100,0]^[100,-14,0]))^[100,-79,0])))^([12,-100,0]^[100,-100,0]))^((([20,-100,0]^([100,-64,0]^([100...

output:

499999.999999999998067

result:

ok found '500000.0000000', expected '500000.0000000', error '0.0000000'

Test #18:

score: 0
Accepted
time: 161ms
memory: 6616kb

input:

0 100 0 100
(((([-85,1,0]^((([-21,1,0]^([-55,1,0]^(([-29,1,0]^[-47,1,0])^([-78,1,0]^[-13,1,0]))))^(([11,1,-100]^[-86,1,0])^[-48,1,0]))^([-35,1,0]^((((([-39,1,0]^([-98,1,0]^[-9,1,0]))^((([14,1,-100]^[79,1,-100])^[-12,1,0])^[100,1,-100]))^((([-20,1,0]^[64,1,-100])^(([60,1,-100]^([-1,1,0]^[41,1,-100]))...

output:

4987.314854974314141

result:

ok found '4987.3148550', expected '4987.3148550', error '0.0000000'

Test #19:

score: 0
Accepted
time: 626ms
memory: 11004kb

input:

-500 1000 -500 1000
((((((([2,-1,37]^[2,-1,1])^(([2,1,-55]^(([2,1,-29]^[2,1,-47])^[2,1,-78]))^([2,1,-13]^[0,1,-11])))^(((([2,1,-86]^([2,1,-48]^[2,-1,100]))^[2,-1,95])^[2,1,-98])^([2,1,-9]^([0,1,-14]^[0,1,-79]))))^([2,-1,88]^[0,1,-100]))^(([2,1,-20]^(([0,1,-64]^([2,-1,85]^[2,1,-1]))^(([2,-1,65]^([0,1...

output:

145000.000000000000000

result:

ok found '145000.0000000', expected '145000.0000000', error '0.0000000'

Test #20:

score: 0
Accepted
time: 1ms
memory: 5592kb

input:

0 1000 0 1000
(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!...

output:

623640.000000000000000

result:

ok found '623640.0000000', expected '623640.0000000', error '0.0000000'

Test #21:

score: 0
Accepted
time: 181ms
memory: 6780kb

input:

-300 300 -300 300
((([-199,200,0]&[299,-300,0])&([-1,-300,300]&[1,200,-200]))&([-1,-215,215]^((((([-1,-279,279]^[-1,-245,245])^(((((([-1,-271,271]^[-1,-253,253])^([-1,-222,222]^([-1,-287,287]^[289,-290,0])))^([-1,-214,214]^[-1,-252,252]))^(([-1,-265,265]^[-1,-261,261])^([-1,-202,202]^((([-1,-291,291...

output:

0.000001388916858

result:

ok found '0.0000014', expected '0.0000014', error '0.0000000'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

0 1000 0 1000
(([-998,999,0]&[999,-1000,0])&[-1,-1,3])

output:

0.000001127253662

result:

ok found '0.0000011', expected '0.0000011', error '0.0000000'

Extra Test:

score: 0
Extra Test Passed