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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#402618 | #7862. Land Trade | u2x1 | WA | 1ms | 3984kb | C++20 | 6.8kb | 2024-05-01 02:03:38 | 2024-05-01 02:03:39 |
Judging History
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; };
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 (para({hull[i], hull[j]}, a)) { assert(1); 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() && ir != lhs.front())) { lhs.emplace_back(ir); }
if (lhs.empty() || (il != lhs.back() && 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() && il != rhs.front())) { rhs.emplace_back(il); }
if (rhs.empty() || (ir != rhs.back() && 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;
if (b == 0) {
tokenVal.s = { -1.L * cc / a, 0 };
tokenVal.t = { -1.L * cc / a, (a > 0 ? -1. : 1.) };
} else {
tokenVal.s = { 0, -1.L * cc / b };
tokenVal.t = tokenVal.s + Pt{ 1, -1.L * a / b };
}
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;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3872kb
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: 3856kb
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: 3940kb
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: 3812kb
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: -100
Wrong Answer
time: 1ms
memory: 3984kb
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:
50320.052334201624156
result:
wrong answer 1st numbers differ - expected: '47063.3348524', found: '50320.0523342', error = '0.0691986'