QOJ.ac
QOJ
| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #820068 | #9880. Origami Warp | rqoi031 | WA | 105ms | 3712kb | C++20 | 3.8kb | 2024-12-18 19:25:47 | 2024-12-18 19:25:47 |
Judging History
answer
#include<stdio.h>
#include<algorithm>
#include<numeric>
#include<vector>
typedef long long ll;
void solve() {
int n;
scanf("%d",&n);
bool crosses_origin{true};
bool rational{true};
int coefx{0x3f3f3f3f},coefy{0x3f3f3f3f};
std::vector<int> coef;
int gcdx{0},gcdy{0};
for(int i=1;i<=n;i++) {
int a,b,c,d;
scanf("%d%d%d%d",&a,&b,&c,&d);
if(ll(a)*d-ll(b)*c!=0) {
crosses_origin=false;
}
if(a==c) {
// vertical
if(coefx!=0x3f3f3f3f) {
gcdx=std::gcd(gcdx,std::abs(a-coefx));
}
coefx=a;
}
else if(b==d) {
// horizontal
if(coefy!=0x3f3f3f3f) {
gcdy=std::gcd(gcdy,std::abs(b-coefy));
}
coefy=b;
}
else if(c-a==d-b) {
// the angle of inclination is pi/4
coef.emplace_back(b-a);
}
else if(c-a==b-d) {
// the angle of inclination is 3*pi/4
coef.emplace_back(b+a);
}
else {
// the angle of inclination is pi * some irrational number
rational=false;
}
}
int q;
scanf("%d",&q);
if(crosses_origin) {
if(!rational) {
for(int i=1;i<=q;i++) {
int x0,y0,x1,y1;
scanf("%d%d%d%d",&x0,&y0,&x1,&y1);
puts(ll(x0)*x0+ll(y0)*y0==ll(x1)*x1+ll(y1)*y1?"Yes":"No");
}
return;
}
if(coef.empty()) {
for(int i=1;i<=q;i++) {
int x0,y0,x1,y1;
scanf("%d%d%d%d",&x0,&y0,&x1,&y1);
puts(std::abs(x0)==std::abs(x1)&&std::abs(y0)==std::abs(y1)?"Yes":"No");
}
return;
}
for(int i=1;i<=q;i++) {
int x0,y0,x1,y1;
scanf("%d%d%d%d",&x0,&y0,&x1,&y1);
if(std::abs(x0)==std::abs(x1)&&std::abs(y0)==std::abs(y1)) {
puts("Yes");
}
else if(std::abs(y0)==std::abs(x1)&&std::abs(x0)==std::abs(y1)) {
puts("Yes");
}
else {
puts("No");
}
}
return;
}
if(!rational) {
for(int i=1;i<=q;i++) {
scanf("%*d%*d%*d%*d");
puts("Yes");
}
return;
}
bool half{false};
if(!coef.empty()) {
int gcd_all{std::gcd(gcdx,gcdy)};
for(int &c:coef) {
gcd_all=std::gcd(gcd_all,c);
}
for(int &c:coef) {
if(c%(gcd_all<<1)==gcd_all) {
half=true;
break;
}
}
gcdx=gcdy=gcd_all;
}
const auto check0([&](const int &x0,const int &y0,const int &x1,const int &y1)->bool {
return (x1-x0)%(gcdx<<1)==0&&(y1-y0)%(gcdy<<1)==0;
});
const auto check1([&](const int &x0,const int &y0,const int &x1,const int &y1)->bool {
return check0(x0,y0,x1,y1)||check0(-x0,y0,x1,y1)||check0(x0,-y0,x1,y1)||check0(-x0,-y0,x1,y1);
});
if(coef.empty()) {
for(int i=1;i<=q;i++) {
int x0,y0,x1,y1;
scanf("%d%d%d%d",&x0,&y0,&x1,&y1);
puts(check1(x0,y0,x1,y1)?"Yes":"No");
}
return;
}
const auto check2([&](const int &x0,const int &y0,const int &x1,const int &y1)->bool {
return check1(x0,y0,x1,y1)||check1(y0,x0,x1,y1)||(half&&check1(y0-gcdy,x0+gcdx,x1,y1));
});
for(int i=1;i<=q;i++) {
int x0,y0,x1,y1;
scanf("%d%d%d%d",&x0,&y0,&x1,&y1);
puts(check2(x0,y0,x1,y1)?"Yes":"No");
}
}
int main() {
int t;
scanf("%d",&t);
while(t--) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3696kb
input:
2 3 0 0 1 0 0 0 0 1 0 2 2 0 4 1 0 2 3 1 -2 -1 2 1 1 -1 0 3 3 3 3 3 0 0 1 0 0 0 0 1 -2 1 2 3 2 2 1 -1 5 -1 -1 3 3
output:
Yes Yes No Yes Yes Yes
result:
ok 6 token(s): yes count is 5, no count is 1
Test #2:
score: 0
Accepted
time: 5ms
memory: 3568kb
input:
10 550 0 0 1 0 0 0 0 1 1070451 -76747419 -475756 34109964 39212129 -40187389 32082651 -32880591 -42770825 49053520 -51324990 58864224 301020 -10533714 602040 -21067428 -55137616 74952624 -24122707 32791773 1629975 -29851650 -478126 8756484 80523100 20960200 -77302176 -20121792 -64028006 61179727 -18...
output:
Yes No No Yes Yes No Yes No Yes No No Yes Yes Yes Yes Yes No Yes No No Yes Yes Yes No Yes No No Yes Yes Yes Yes No Yes No No No No No Yes Yes No No No Yes Yes Yes No No No No No No Yes Yes Yes Yes Yes No No Yes Yes Yes No Yes Yes Yes Yes No Yes No Yes Yes Yes No No Yes Yes Yes No No No Yes No Yes Ye...
result:
ok 12244 token(s): yes count is 6128, no count is 6116
Test #3:
score: 0
Accepted
time: 105ms
memory: 3680kb
input:
100 2000 0 0 1 0 0 0 0 1 -84998108 27087723 -78459792 25004052 -63732795 -93286980 29741971 43533924 88160702 10753904 -94457895 -11522040 -57759240 -99131840 25991658 44609328 -35408095 31386545 -92061047 81605017 21178080 37382229 32943680 58150134 -57187533 84956404 -17596164 26140432 38432164 17...
output:
No No No Yes Yes Yes No Yes No No Yes No No No Yes No No Yes No Yes No No No No No No Yes No Yes No Yes Yes Yes Yes No No No Yes Yes No Yes Yes Yes Yes Yes No Yes No Yes No Yes Yes No Yes No Yes Yes No No Yes Yes Yes Yes No No No Yes No No No Yes Yes No No No No No No No No No No No No Yes Yes Yes N...
result:
ok 200000 token(s): yes count is 100141, no count is 99859
Test #4:
score: -100
Wrong Answer
time: 53ms
memory: 3712kb
input:
90 1025 0 0 1 0 0 0 0 1 -8716657 -748858 12990792 -22456307 -13593063 -23283552 -46628353 -23283552 93002789 28574481 93002789 78693002 -16042487 47828662 -30013237 61799412 43359811 68260568 43359811 -75987953 -94388305 52022201 -94388305 8537759 -6363687 -1383673 -6363687 -20211179 -29739675 -2602...
output:
Yes No No No Yes No Yes Yes No Yes No No No No No No No No Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes No No No No Yes Yes Yes No No No Yes Yes Yes No No No No Yes Yes Yes No No Yes Yes No No Yes Yes Yes No Yes No Yes Yes Yes Yes Yes Yes No No Yes Yes No No Yes No Yes No N...
result:
wrong answer expected YES, found NO [7330th token]