QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#269939 | #7862. Land Trade | ucup-team1209 | AC ✓ | 907ms | 76952kb | C++20 | 3.5kb | 2023-11-30 11:53:46 | 2023-11-30 11:53:46 |
Judging History
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 + 5;
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?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 4044kb
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: 4032kb
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: 3980kb
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: 4004kb
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: 6388kb
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: 0ms
memory: 6556kb
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: 785ms
memory: 17036kb
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: 7ms
memory: 4844kb
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: 4944kb
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: 4348kb
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: 99ms
memory: 12868kb
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: 116ms
memory: 10960kb
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: 11ms
memory: 12892kb
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: 1ms
memory: 4108kb
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: 363ms
memory: 12036kb
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: 907ms
memory: 17628kb
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: 4364kb
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: 98ms
memory: 6960kb
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: 397ms
memory: 10944kb
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: 4ms
memory: 76952kb
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: 98ms
memory: 6808kb
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: 4004kb
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