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 |
---|---|---|---|---|---|---|---|---|---|
#403000 | #7862. Land Trade | u2x1 | AC ✓ | 1159ms | 17776kb | C++20 | 6.7kb | 2024-05-01 19:25:45 | 2024-05-01 19:25:46 |
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; };
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