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
#269940#7862. Land Tradeucup-team1209AC ✓892ms42076kbC++203.5kb2023-11-30 11:54:162023-11-30 11:54:16

Judging History

你现在查看的是最新测评结果

  • [2023-11-30 11:54:16]
  • 评测
  • 测评结果:AC
  • 用时:892ms
  • 内存:42076kb
  • [2023-11-30 11:54:16]
  • 提交

answer

#include<bits/stdc++.h>
using std::cin, std::cout;
using ll = long long;
using db = double;
struct vec2 { db x, y; };
const db eps = 1e-9;
db sgn(db x) {
	return x < -eps ? -1 : x > eps;
}
vec2 operator + (vec2 x, vec2 y) { return {x.x + y.x, x.y + y.y}; }
vec2 operator - (vec2 x, vec2 y) { return {x.x - y.x, x.y - y.y}; }
vec2 operator / (vec2 x, db y) { return {x.x / y, x.y / y}; }
db operator * (vec2 x, vec2 y) { return x.x * y.y - x.y * y.x; }
vec2 r90(vec2 x) {
	return {-x.y, x.x};
}
struct line : vec2 {
	db z;
	line() {}
	line(vec2 x, vec2 y) : vec2{r90(y - x)}, z(x * y) {

	}
	line flip() const {
		return line(-x, -y, -z);
	}
	line(db a, db b, db c) : vec2{a, b}, z(c) {}
	db operator () (vec2 a) const { return a.x * x + a.y * y + z; }
};
vec2 operator & (line x, line y) {
	return vec2{vec2{x.z, x.y} * vec2{y.z, y.y}, vec2{x.x, x.z} * vec2{y.x, y.z}} / -(vec2(x) * vec2(y));
}
std::vector<vec2> cut(const std::vector<vec2> & o, line l) {
	std::vector<vec2> res;
	int n = size(o);
	for(int i = 0;i < n;++i) {
		vec2 a = o[i], b = o[(i + 1) % o.size()];
		if(sgn(l(a)) >= 0) res.push_back(a);
		if(sgn(l(a)) * sgn(l(b)) < 0) res.push_back(line(a, b) & l);
	}
	return res;
}
std::vector<std::vector<vec2>> convs, tmp;
const int N = 300;
const int M = N * N / 2 + 5 * N;
line a[N];
int cnt;
int cc;
vec2 o[M];

vec2 x, y;
char s[1 << 20];
void solve(int & id) {
	if(s[id] == '(') {
		++ id;
		if(s[id] == '!') {
			solve(++id);
		} else {
			solve(id);
			solve(++id);
		}
		++id;
	} else {
		std::vector<std::string> ts;
		std::string t;
		for(;s[++id] != ']';) {
			if(s[id] == ',') {
				ts.push_back(t), t = "";
			} else {
				t += s[id];
			}
		}
		ts.push_back(t);
		a[cnt++] = line(atof(ts[0].c_str()), atof(ts[1].c_str()), atof(ts[2].c_str()));
		++id;
	}
}
std::bitset<M> solve1(int & id) {
	if(s[id] == '(') {
		++ id;
		if(s[id] == '!') {
			auto t = solve1(++id);
			++ id;
			return ~t;
		} else {
			auto le = solve1(id);
			char op = s[id];
			auto ri = solve1(++id);
			++id;
			if(op == '&') return le & ri;
			if(op == '|') return le | ri;
			if(op == '^') return le ^ ri;
			assert(0);
		}
	} else {
		std::vector<std::string> ts;
		std::string t;
		for(;s[++id] != ']';) {
			if(s[id] == ',') {
				ts.push_back(t), t = "";
			} else {
				t += s[id];
			}
		}
		ts.push_back(t);
		line z = line(atof(ts[0].c_str()), atof(ts[1].c_str()), atof(ts[2].c_str()));
		++id;
		std::bitset<M> res;
		for(int i = 0;i < cc;++i) {
			if(sgn(z(o[i])) == 1) res.set(i);
		}
		return res;
	}
}
int main() {
	std::ios::sync_with_stdio(false), cin.tie(0);
	cin >> x.x >> y.x;
	cin >> x.y >> y.y;
	convs.push_back({ {x.x, x.y}, {y.x, x.y}, {y.x, y.y}, {x.x, y.y} });
	cin >> s;
	int id = 0;
	solve(id);
	for(int i = 0;i < cnt;++i) {
		tmp = convs, convs.clear();
		for(auto x : tmp) {
			db min = 1e9, max = -1e9;
			for(vec2 t : x) {
				min = std::min(min, a[i](t));
				max = std::max(max, a[i](t));
			}
			if(sgn(max) == 1) {
				convs.push_back(cut(x, a[i]));
			}
			if(sgn(min) == -1) {
				convs.push_back(cut(x, a[i].flip()));
			}
		}
	}
	cc = size(convs);
	for(int i = 0;i < cc;++i) {
		for(vec2 x : convs[i]) o[i] = o[i] + x;
		o[i] = o[i] / db(convs[i].size());
	}
	id = 0;
	auto t = solve1(id);
	db ans = 0;
	for(int i = 0;i < cc;++i) if(t.test(i)) {
		db sum = 0;
		auto z = convs[i];
		for(int j = 2;j < z.size();++j) {
			sum += (z[j - 1] - z[0]) * (z[j] - z[0]);
		}
		ans += sum;
	}
	printf("%.10lf\n", ans / 2);
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 4056kb

input:

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

output:

0.5000000000

result:

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

Test #2:

score: 0
Accepted
time: 0ms
memory: 4024kb

input:

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

output:

70.4516934046

result:

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

Test #3:

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

input:

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

output:

0.0000000000

result:

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

Test #4:

score: 0
Accepted
time: 0ms
memory: 4072kb

input:

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

output:

0.0005000000

result:

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

Test #5:

score: 0
Accepted
time: 1ms
memory: 4112kb

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:

47063.3348524415

result:

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

Test #6:

score: 0
Accepted
time: 1ms
memory: 4240kb

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:

36999.0586556633

result:

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

Test #7:

score: 0
Accepted
time: 790ms
memory: 16684kb

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:

295728.6081036094

result:

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

Test #8:

score: 0
Accepted
time: 6ms
memory: 4256kb

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:

107150.6048796974

result:

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

Test #9:

score: 0
Accepted
time: 4ms
memory: 4444kb

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:

335169.3105175159

result:

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

Test #10:

score: 0
Accepted
time: 2ms
memory: 4372kb

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:

411470.3585049434

result:

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

Test #11:

score: 0
Accepted
time: 96ms
memory: 8588kb

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:

2000000.0000000000

result:

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

Test #12:

score: 0
Accepted
time: 96ms
memory: 8660kb

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:

539999.9999999371

result:

ok found '539999.9999999', expected '540000.0000000', error '0.0000000'

Test #13:

score: 0
Accepted
time: 13ms
memory: 7728kb

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:

1823923.8971529505

result:

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

Test #14:

score: 0
Accepted
time: 0ms
memory: 4196kb

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:

420530.7345409404

result:

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

Test #15:

score: 0
Accepted
time: 361ms
memory: 11848kb

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:

1479667.4407859684

result:

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

Test #16:

score: 0
Accepted
time: 892ms
memory: 17640kb

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:

1945479.9574398755

result:

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

Test #17:

score: 0
Accepted
time: 3ms
memory: 4192kb

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:

500000.0000000000

result:

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

Test #18:

score: 0
Accepted
time: 92ms
memory: 6692kb

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:

4987.3148549743

result:

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

Test #19:

score: 0
Accepted
time: 387ms
memory: 10884kb

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:

145000.0000000000

result:

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

Test #20:

score: 0
Accepted
time: 9ms
memory: 42076kb

input:

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

output:

623640.0000000000

result:

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

Test #21:

score: 0
Accepted
time: 108ms
memory: 6752kb

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:

0.0000013889

result:

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

Test #22:

score: 0
Accepted
time: 0ms
memory: 4036kb

input:

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

output:

0.0000011273

result:

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

Extra Test:

score: 0
Extra Test Passed