QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#301947 | #7862. Land Trade | willow | AC ✓ | 417ms | 15332kb | C++14 | 5.0kb | 2024-01-10 14:44:00 | 2024-01-10 14:44:02 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int maxn = 1e5 + 5;
const double eps = 1e-9;
int Dcmp(double x) {
return x < -eps ? -1 : x > eps ? 1 : 0;
}
struct Point {
double x, y;
Point(double x = 0, double y = 0) : x(x), y(y) {}
Point operator + (Point rhs) {
return Point(x + rhs.x, y + rhs.y);
}
Point operator - (Point rhs) {
return Point(x - rhs.x, y - rhs.y);
}
double operator * (Point rhs) {
return x * rhs.x + y * rhs.y;
}
double operator ^ (Point rhs) {
return x * rhs.y - y * rhs.x;
}
Point operator * (double k) {
return Point(x * k, y * k);
}
Point operator / (double k) {
return Point(x / k, y / k);
}
};
struct Line {
Point s, t;
Line(Point s = Point(), Point t = Point()) : s(s), t(t) {}
};
Line Convert(int a, int b, int c) {
if(b == 0) {
double x = 1. * -c / a;
return Line(Point(x, 0), Point(x, 1));
}
return Line(Point(0, 1. * -c / b), Point(1, 1. * -(c + a) / b));
}
Point LineInter(Line l1, Line l2) {
double a1 = (l2.t - l2.s) ^ (l1.s - l2.s), a2 = (l2.t - l2.s) ^ (l1.t - l2.s);
return (l1.s * a2 - l1.t * a1) / (a2 - a1);
}
double Area(vector<Point> p) {
double a = 0;
int n = p.size();
for(int i = 0; i < n; ++ i) {
int j = (i + 1) % n;
a += p[j] ^ p[i];
}
a = fabs(a);
return a / 2;
}
int xl, xr, yl, yr, tot;
char s[maxn];
vector<vector<Point> > poly;
int Dir(int a, int b, int c, Point p) {
return Dcmp(a * p.x + b * p.y + c);
}
void Cut(int a, int b, int c) {
vector<vector<Point> > tmp;
for(auto po : poly) {
int n = po.size(), f1 = 0, f2 = 0;
Point ex[2] = {Point(0, 0), Point(0, 0)};
int now = 0;
for(int i = 0; i < n; ++ i) {
int j = (i + 1) % n;
int d = Dir(a, b, c, po[i]);
if(d == 1)
f1 = 1;
if(d == -1)
f2 = 1;
if(d == 0)
ex[now ++] = po[i];
else if(d * Dir(a, b, c, po[j]) == -1)
ex[now ++] = LineInter(Convert(a, b, c), Line(po[i], po[j]));
}
if(!f1 || !f2)
tmp.push_back(po);
else {
assert(now == 2);
vector<Point> add[2] = {vector<Point>(), vector<Point>()};
int w = 0, pos = 0, d = Dir(a, b, c, po[0]), beg = 0;
if(d == 0) {
add[w].push_back(ex[pos]);
w ^= 1;
add[w].push_back(ex[pos]);
pos ++;
d = Dir(a, b, c, po[1]);
beg = 1;
}
for(int i = beg; i < n; ++ i) {
int nowd = Dir(a, b, c, po[i]);
if(nowd == d) {
add[w].push_back(po[i]);
}
else {
add[w].push_back(ex[pos]);
w ^= 1;
add[w].push_back(ex[pos]);
pos ++;
if(nowd == 0)
d = Dir(a, b, c, po[(i + 1) % n]);
else {
add[w].push_back(po[i]);
d = nowd;
}
}
}
if(pos < 2) {
add[w].push_back(ex[pos]);
w ^= 1;
add[w].push_back(ex[pos]);
pos ++;
}
assert(pos == 2);
assert(add[0].size() >= 3u);
assert(add[1].size() >= 3u);
tmp.push_back(add[0]);
tmp.push_back(add[1]);
}
}
swap(tmp, poly);
}
int Get(int &pos) {
int f = 1, num = 0;
if(s[pos] == '-')
f = -1, ++ pos;
while(isdigit(s[pos]))
num = num * 10 + s[pos] - '0', ++ pos;
return f * num;
}
struct Node {
int ls, rs, type, a, b, c;
// type = 0: line, type = 1: &, type = 2: |, type = 3: ^, type = 4: !
void SetLine(int _a, int _b, int _c) {
type = 0;
a = _a;
b = _b;
c = _c;
}
void SetOp(char c) {
if(c == '&')
type = 1;
if(c == '|')
type = 2;
if(c == '^')
type = 3;
if(c == '!')
type = 4;
}
}nd[maxn];
int Calc(int u, Point p) {
if(nd[u].type == 0)
return Dir(nd[u].a, nd[u].b, nd[u].c, p) >= 0;
if(nd[u].type == 1)
return Calc(nd[u].ls, p) & Calc(nd[u].rs, p);
if(nd[u].type == 2)
return Calc(nd[u].ls, p) | Calc(nd[u].rs, p);
if(nd[u].type == 3)
return Calc(nd[u].ls, p) ^ Calc(nd[u].rs, p);
if(nd[u].type == 4)
return !Calc(nd[u].ls, p);
assert(0);
}
int Solve(int l, int r) {
int id = ++ tot;
if(s[l] == '[') {
assert(s[r] == ']');
int pos = l + 1;
int a = Get(pos);
++ pos;
int b = Get(pos);
++ pos;
int c = Get(pos);
nd[id].SetLine(a, b, c);
Cut(a, b, c);
}
else {
int pos = l + 1;
if(s[pos] == '!') {
nd[id].SetOp(s[l + 1]);
nd[id].ls = Solve(l + 2, r - 1);
}
else {
if(s[pos] == '(') {
if(s[pos] == '!')
++ pos;
int lay = 1;
while(lay) {
++ pos;
if(s[pos] == '(')
++ lay;
if(s[pos] == ')')
-- lay;
}
++ pos;
}
else if(s[pos] == '[') {
while(s[pos] != ']')
++ pos;
++ pos;
}
nd[id].SetOp(s[pos]);
nd[id].ls = Solve(l + 1, pos - 1);
nd[id].rs = Solve(pos + 1, r - 1);
}
}
return id;
}
int main() {
scanf("%d%d%d%d", &xl, &xr, &yl, &yr);
poly.push_back({Point(xl, yl), Point(xr, yl), Point(xr, yr), Point(xl, yr)});
scanf("%s", s + 1);
int len = strlen(s + 1);
int rt = Solve(1, len);
double ans = 0;
for(auto po : poly) {
Point now = Point();
for(auto p : po)
now = now + p;
int s = po.size();
now = now / s;
if(Calc(rt, now))
ans += Area(po);
}
printf("%.15f\n", ans);
}
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: 3696kb
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: 1ms
memory: 3820kb
input:
-5 10 -10 5 ((!([1,2,-3]&[10,3,-2]))^([-2,3,1]|[5,-2,7]))
output:
70.451693404634639
result:
ok found '70.4516934', expected '70.4516934', error '0.0000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3772kb
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: 3784kb
input:
0 1000 0 1000 (([1,-1,0]&[-1000,999,999])&([1,0,-998]&[0,1,-998]))
output:
0.000500000023749
result:
ok found '0.0005000', expected '0.0005000', error '0.0000000'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3720kb
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:
47063.334852418367518
result:
ok found '47063.3348524', expected '47063.3348524', error '0.0000000'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3768kb
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:
36999.058655665081460
result:
ok found '36999.0586557', expected '36999.0586557', error '0.0000000'
Test #7:
score: 0
Accepted
time: 410ms
memory: 15332kb
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:
295728.608103593986016
result:
ok found '295728.6081036', expected '295728.6081036', error '0.0000000'
Test #8:
score: 0
Accepted
time: 5ms
memory: 3868kb
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:
107150.604879699691082
result:
ok found '107150.6048797', expected '107150.6048797', error '0.0000000'
Test #9:
score: 0
Accepted
time: 3ms
memory: 4072kb
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:
335169.310517523146700
result:
ok found '335169.3105175', expected '335169.3105175', error '0.0000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3804kb
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:
411470.358504904084839
result:
ok found '411470.3585049', expected '411470.3585049', error '0.0000000'
Test #11:
score: 0
Accepted
time: 60ms
memory: 5900kb
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: 67ms
memory: 6488kb
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:
539999.999999733525328
result:
ok found '539999.9999997', expected '540000.0000000', error '0.0000000'
Test #13:
score: 0
Accepted
time: 8ms
memory: 3992kb
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:
1823923.897152882069349
result:
ok found '1823923.8971529', expected '1823923.8971530', error '0.0000000'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3792kb
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:
420530.734540949109942
result:
ok found '420530.7345409', expected '420530.7345409', error '0.0000000'
Test #15:
score: 0
Accepted
time: 201ms
memory: 9980kb
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:
1479667.440786028746516
result:
ok found '1479667.4407860', expected '1479667.4407860', error '0.0000000'
Test #16:
score: 0
Accepted
time: 417ms
memory: 14760kb
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:
1945479.957439561141655
result:
ok found '1945479.9574396', expected '1945479.9574399', error '0.0000000'
Test #17:
score: 0
Accepted
time: 2ms
memory: 3812kb
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:
499999.999999949533958
result:
ok found '499999.9999999', expected '500000.0000000', error '0.0000000'
Test #18:
score: 0
Accepted
time: 48ms
memory: 6048kb
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:
4987.314854974304581
result:
ok found '4987.3148550', expected '4987.3148550', error '0.0000000'
Test #19:
score: 0
Accepted
time: 204ms
memory: 9468kb
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: 3996kb
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: 55ms
memory: 6488kb
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:
0.000001388916867
result:
ok found '0.0000014', expected '0.0000014', error '0.0000000'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3700kb
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