| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 826680 |
2023-08-15T20:03:37 Z |
QwertyPi |
Mixture (BOI20_mixture) |
C++14 |
|
2000 ms |
14920 KB |
#include <bits/stdc++.h>
#define int long long
using namespace std;
struct V3d{
int x, y, z;
void norm(){
int g = __gcd(__gcd(x, y), z); g = abs(g);
if(g != 0) x /= g, y /= g, z /= g;
}
bool operator< (const V3d o) const {
if(x != o.x) return x < o.x;
if(y != o.y) return y < o.y;
if(z != o.z) return z < o.z;
return 0;
}
};
int dot(V3d a, V3d b){
return a.x * b.x + a.y * b.y + a.z * b.z;
}
__int128_t dot128(V3d a, V3d b){
return (__int128_t) a.x * b.x + (__int128_t) a.y * b.y + (__int128_t) a.z * b.z;
}
long double triple(V3d a, V3d b, V3d c){
long double r = 0;
r += (long double) a.x * b.y * c.z;
r += (long double) a.z * b.x * c.y;
r += (long double) a.y * b.z * c.x;
r -= (long double) a.x * b.z * c.y;
r -= (long double) a.y * b.x * c.z;
r -= (long double) a.z * b.y * c.x;
return r;
}
V3d operator* (V3d a, int n){
return {a.x * n, a.y * n, a.z * n};
}
V3d operator- (V3d a, V3d b){
return {a.x - b.x, a.y - b.y, a.z - b.z};
}
V3d operator- (V3d b){
return {-b.x, -b.y, -b.z};
}
V3d vds[100011]; int ai = 0;
V3d f;
long double deg(V3d a, V3d b){
__int128_t p = dot128(a, b);
long double q = sqrt((long double) dot128(a, a)) * sqrt((long double) dot128(b, b));
return acos(min(1.0L, (long double) p / q)) * (triple(f, a, b) > 0 ? 1 : -1);
}
const long double PI = 3.1415926535;
struct Angle{
bool init = false;
multiset<long double> S;
void add(long double d){
S.insert(d);
}
void rem(long double d){
S.erase(S.find(d));
}
bool qry(){
if(!init) return false;
if(S.size() < 3) return false;
uniform_real_distribution<long double> dist(-PI, PI);
random_device rd;
for(int tr = 0; tr < 50; tr++){
long double d = dist(rd);
auto ptr = S.lower_bound(d);
if(ptr != S.begin() && ptr != S.end()){
long double diff = *ptr - *prev(ptr);
if(diff > PI) return false;
}else{
long double diff = *S.begin() + PI * 2 - *prev(S.end());
if(diff > PI) return false;
}
}
return true;
}
} Solver;
struct Handle{
int c1 = 0, c2 = 0; map<V3d, int> cnt;
V3d o;
void add(V3d a){
a.norm();
if(a.x == 0 && a.y == 0 && a.z == 0) { c1++; return; }
if(!Solver.init){
Solver.init = true;
o = a; Solver.add(deg(o, a));
}else{
Solver.add(deg(o, a));
}
cnt[a]++; if(cnt[a] == 1 && cnt[-a] > 0) c2++;
}
void rem(V3d a){
a.norm();
if(a.x == 0 && a.y == 0 && a.z == 0) { c1--; return; }
Solver.rem(deg(o, a));
cnt[a]--; if(cnt[a] == 0 && cnt[-a] > 0) c2--;
}
int qry(){
if(c1 > 0) return 1;
if(c2 > 0) return 2;
if(Solver.qry()) return 3;
return 0;
}
} handle;
int32_t main(){
int x, y, z; cin >> x >> y >> z; f = V3d {x, y, z};
int n; cin >> n;
for(int i = 0; i < n; i++){
char c; cin >> c;
if(c == 'A'){
int x, y, z; cin >> x >> y >> z;
V3d a {x, y, z};
vds[++ai] = a * dot(f, f) - f * dot(a, f);
handle.add(vds[ai]);
}else{
int x; cin >> x;
handle.rem(vds[x]);
}
cout << handle.qry() << endl;
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
0 ms |
212 KB |
Output is correct |
| 5 |
Correct |
0 ms |
212 KB |
Output is correct |
| 6 |
Correct |
2 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
0 ms |
212 KB |
Output is correct |
| 11 |
Correct |
0 ms |
212 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
0 ms |
212 KB |
Output is correct |
| 14 |
Correct |
0 ms |
212 KB |
Output is correct |
| 15 |
Correct |
1 ms |
212 KB |
Output is correct |
| 16 |
Correct |
1 ms |
212 KB |
Output is correct |
| 17 |
Correct |
1 ms |
212 KB |
Output is correct |
| 18 |
Correct |
0 ms |
212 KB |
Output is correct |
| 19 |
Correct |
1 ms |
212 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
0 ms |
212 KB |
Output is correct |
| 5 |
Correct |
0 ms |
212 KB |
Output is correct |
| 6 |
Correct |
2 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
0 ms |
212 KB |
Output is correct |
| 11 |
Correct |
0 ms |
212 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
0 ms |
212 KB |
Output is correct |
| 14 |
Correct |
0 ms |
212 KB |
Output is correct |
| 15 |
Correct |
1 ms |
212 KB |
Output is correct |
| 16 |
Correct |
1 ms |
212 KB |
Output is correct |
| 17 |
Correct |
1 ms |
212 KB |
Output is correct |
| 18 |
Correct |
0 ms |
212 KB |
Output is correct |
| 19 |
Correct |
1 ms |
212 KB |
Output is correct |
| 20 |
Correct |
1 ms |
212 KB |
Output is correct |
| 21 |
Correct |
1 ms |
212 KB |
Output is correct |
| 22 |
Correct |
2 ms |
212 KB |
Output is correct |
| 23 |
Correct |
2 ms |
340 KB |
Output is correct |
| 24 |
Correct |
1 ms |
212 KB |
Output is correct |
| 25 |
Correct |
2 ms |
340 KB |
Output is correct |
| 26 |
Correct |
1 ms |
340 KB |
Output is correct |
| 27 |
Correct |
9 ms |
212 KB |
Output is correct |
| 28 |
Correct |
3 ms |
340 KB |
Output is correct |
| 29 |
Correct |
2 ms |
340 KB |
Output is correct |
| 30 |
Correct |
2 ms |
340 KB |
Output is correct |
| 31 |
Correct |
1 ms |
212 KB |
Output is correct |
| 32 |
Correct |
19 ms |
320 KB |
Output is correct |
| 33 |
Correct |
2 ms |
212 KB |
Output is correct |
| 34 |
Correct |
15 ms |
340 KB |
Output is correct |
| 35 |
Correct |
2 ms |
340 KB |
Output is correct |
| 36 |
Correct |
20 ms |
468 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
0 ms |
212 KB |
Output is correct |
| 5 |
Correct |
0 ms |
212 KB |
Output is correct |
| 6 |
Correct |
2 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
0 ms |
212 KB |
Output is correct |
| 11 |
Correct |
0 ms |
212 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
0 ms |
212 KB |
Output is correct |
| 14 |
Correct |
0 ms |
212 KB |
Output is correct |
| 15 |
Correct |
1 ms |
212 KB |
Output is correct |
| 16 |
Correct |
1 ms |
212 KB |
Output is correct |
| 17 |
Correct |
1 ms |
212 KB |
Output is correct |
| 18 |
Correct |
0 ms |
212 KB |
Output is correct |
| 19 |
Correct |
1 ms |
212 KB |
Output is correct |
| 20 |
Correct |
1 ms |
212 KB |
Output is correct |
| 21 |
Correct |
1 ms |
212 KB |
Output is correct |
| 22 |
Correct |
2 ms |
212 KB |
Output is correct |
| 23 |
Correct |
2 ms |
340 KB |
Output is correct |
| 24 |
Correct |
1 ms |
212 KB |
Output is correct |
| 25 |
Correct |
2 ms |
340 KB |
Output is correct |
| 26 |
Correct |
1 ms |
340 KB |
Output is correct |
| 27 |
Correct |
9 ms |
212 KB |
Output is correct |
| 28 |
Correct |
3 ms |
340 KB |
Output is correct |
| 29 |
Correct |
2 ms |
340 KB |
Output is correct |
| 30 |
Correct |
2 ms |
340 KB |
Output is correct |
| 31 |
Correct |
1 ms |
212 KB |
Output is correct |
| 32 |
Correct |
19 ms |
320 KB |
Output is correct |
| 33 |
Correct |
2 ms |
212 KB |
Output is correct |
| 34 |
Correct |
15 ms |
340 KB |
Output is correct |
| 35 |
Correct |
2 ms |
340 KB |
Output is correct |
| 36 |
Correct |
20 ms |
468 KB |
Output is correct |
| 37 |
Correct |
15 ms |
340 KB |
Output is correct |
| 38 |
Correct |
5 ms |
324 KB |
Output is correct |
| 39 |
Correct |
17 ms |
444 KB |
Output is correct |
| 40 |
Correct |
56 ms |
408 KB |
Output is correct |
| 41 |
Correct |
56 ms |
416 KB |
Output is correct |
| 42 |
Correct |
53 ms |
368 KB |
Output is correct |
| 43 |
Correct |
46 ms |
404 KB |
Output is correct |
| 44 |
Correct |
47 ms |
364 KB |
Output is correct |
| 45 |
Correct |
41 ms |
388 KB |
Output is correct |
| 46 |
Correct |
24 ms |
764 KB |
Output is correct |
| 47 |
Correct |
165 ms |
772 KB |
Output is correct |
| 48 |
Correct |
73 ms |
344 KB |
Output is correct |
| 49 |
Correct |
158 ms |
324 KB |
Output is correct |
| 50 |
Correct |
132 ms |
356 KB |
Output is correct |
| 51 |
Correct |
242 ms |
848 KB |
Output is correct |
| 52 |
Correct |
37 ms |
568 KB |
Output is correct |
| 53 |
Correct |
37 ms |
904 KB |
Output is correct |
| 54 |
Correct |
338 ms |
980 KB |
Output is correct |
| 55 |
Correct |
9 ms |
368 KB |
Output is correct |
| 56 |
Correct |
12 ms |
436 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
0 ms |
212 KB |
Output is correct |
| 5 |
Correct |
0 ms |
212 KB |
Output is correct |
| 6 |
Correct |
2 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
0 ms |
212 KB |
Output is correct |
| 11 |
Correct |
0 ms |
212 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
0 ms |
212 KB |
Output is correct |
| 14 |
Correct |
0 ms |
212 KB |
Output is correct |
| 15 |
Correct |
1 ms |
212 KB |
Output is correct |
| 16 |
Correct |
1 ms |
212 KB |
Output is correct |
| 17 |
Correct |
1 ms |
212 KB |
Output is correct |
| 18 |
Correct |
0 ms |
212 KB |
Output is correct |
| 19 |
Correct |
1 ms |
212 KB |
Output is correct |
| 20 |
Correct |
1 ms |
212 KB |
Output is correct |
| 21 |
Correct |
1 ms |
212 KB |
Output is correct |
| 22 |
Correct |
2 ms |
212 KB |
Output is correct |
| 23 |
Correct |
2 ms |
340 KB |
Output is correct |
| 24 |
Correct |
1 ms |
212 KB |
Output is correct |
| 25 |
Correct |
2 ms |
340 KB |
Output is correct |
| 26 |
Correct |
1 ms |
340 KB |
Output is correct |
| 27 |
Correct |
9 ms |
212 KB |
Output is correct |
| 28 |
Correct |
3 ms |
340 KB |
Output is correct |
| 29 |
Correct |
2 ms |
340 KB |
Output is correct |
| 30 |
Correct |
2 ms |
340 KB |
Output is correct |
| 31 |
Correct |
1 ms |
212 KB |
Output is correct |
| 32 |
Correct |
19 ms |
320 KB |
Output is correct |
| 33 |
Correct |
2 ms |
212 KB |
Output is correct |
| 34 |
Correct |
15 ms |
340 KB |
Output is correct |
| 35 |
Correct |
2 ms |
340 KB |
Output is correct |
| 36 |
Correct |
20 ms |
468 KB |
Output is correct |
| 37 |
Correct |
15 ms |
340 KB |
Output is correct |
| 38 |
Correct |
5 ms |
324 KB |
Output is correct |
| 39 |
Correct |
17 ms |
444 KB |
Output is correct |
| 40 |
Correct |
56 ms |
408 KB |
Output is correct |
| 41 |
Correct |
56 ms |
416 KB |
Output is correct |
| 42 |
Correct |
53 ms |
368 KB |
Output is correct |
| 43 |
Correct |
46 ms |
404 KB |
Output is correct |
| 44 |
Correct |
47 ms |
364 KB |
Output is correct |
| 45 |
Correct |
41 ms |
388 KB |
Output is correct |
| 46 |
Correct |
24 ms |
764 KB |
Output is correct |
| 47 |
Correct |
165 ms |
772 KB |
Output is correct |
| 48 |
Correct |
73 ms |
344 KB |
Output is correct |
| 49 |
Correct |
158 ms |
324 KB |
Output is correct |
| 50 |
Correct |
132 ms |
356 KB |
Output is correct |
| 51 |
Correct |
242 ms |
848 KB |
Output is correct |
| 52 |
Correct |
37 ms |
568 KB |
Output is correct |
| 53 |
Correct |
37 ms |
904 KB |
Output is correct |
| 54 |
Correct |
338 ms |
980 KB |
Output is correct |
| 55 |
Correct |
9 ms |
368 KB |
Output is correct |
| 56 |
Correct |
12 ms |
436 KB |
Output is correct |
| 57 |
Correct |
13 ms |
404 KB |
Output is correct |
| 58 |
Correct |
461 ms |
1100 KB |
Output is correct |
| 59 |
Correct |
469 ms |
1036 KB |
Output is correct |
| 60 |
Correct |
18 ms |
980 KB |
Output is correct |
| 61 |
Correct |
45 ms |
1640 KB |
Output is correct |
| 62 |
Correct |
649 ms |
1672 KB |
Output is correct |
| 63 |
Correct |
781 ms |
14920 KB |
Output is correct |
| 64 |
Execution timed out |
2068 ms |
5740 KB |
Time limit exceeded |
| 65 |
Halted |
0 ms |
0 KB |
- |
