#include <bits/stdc++.h>
#define fr(i, a, b) for (int i = (a); i <= (b); ++i)
#define rf(i, a, b) for (int i = (a); i >= (b); --i)
#define fe(x, y) for (auto& x : y)
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define mt make_tuple
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
#define pw(x) (1LL << (x))
using namespace std;
mt19937_64 rng(228);
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template <typename T>
using oset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define fbo find_by_order
#define ook order_of_key
template <typename T>
bool umx(T& a, T b) {
return a < b ? a = b, 1 : 0;
}
template <typename T>
bool umn(T& a, T b) {
return a > b ? a = b, 1 : 0;
}
using ll = long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
template <typename T>
using ve = vector<T>;
const int N = 2e5 + 5;
const ld EPS = 1e-10;
bool eq(ld a, ld b) {
return abs(a - b) <= EPS;
}
array<int, 3> a;
ve<array<int, 3>> all;
bool del[N];
int main() {
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#else
ios::sync_with_stdio(0);
cin.tie(0);
#endif
// {
// int x, y, z;
// cin >> x >> y >> z;
//
// cout << ld(x) / (x + y + z) << " " << ld(y) / (x + y + z) << " " << ld(z) / (x + y + z) << "\n";
//
// int x2, y2, z2;
// cin >> x2 >> y2 >> z2;
// cout << ld(x2) / (x2 + y2 + z2) << " " << ld(y2) / (x2 + y2 + z2) << " " << ld(z2) / (x2 + y2 + z2) << "\n";
//
// for (ld take = 0; take <= 1; take += 0.01) {
// ld X = 0, Y = 0, Z = 0;
// X += take * (ld(x) / (x + y + z));
// Y += take * (ld(y) / (x + y + z));
// Z += take * (ld(z) / (x + y + z));
//
// X += (1.0 - take) * (ld(x2) / (x2 + y2 + z2));
// Y += (1.0 - take) * (ld(y2) / (x2 + y2 + z2));
// Z += (1.0 - take) * (ld(z2) / (x2 + y2 + z2));
//
//
// cout << ld(X) / ld(X + Y + Z) << " " << ld(Y) / ld(X + Y + Z) << " " << ld(Z) / ld(X + Y + Z) << "\n";
// }
// }
//
// return 0;
fr (i, 0, 2) cin >> a[i];
int g = __gcd(__gcd(a[0], a[1]), a[2]);
if (g) {
fr (i, 0, 2) a[i] /= g;
}
int q;
cin >> q;
fr (i, 1, q) {
char c;
cin >> c;
if (c == 'A') {
int x, y, z;
cin >> x >> y >> z;
int g = __gcd(__gcd(x, y), z);
if (g) {
x /= g;
y /= g;
z /= g;
}
all.pb({x, y, z});
} else {
int idx;
cin >> idx;
del[idx - 1] = 1;
}
bool found = 0;
fr (p, 0, sz(all) - 1) {
if (del[p]) continue;
if (all[p] == a) {
cout << "1\n";
found = 1;
break;
}
}
if (found) {
continue;
}
fr (p1, 0, sz(all) - 1) {
if (del[p1]) continue;
fr (p2, 0, sz(all) - 1) {
if (p1 == p2) continue;
if (del[p2]) continue;
bool ok = 1;
ld X1 = all[p1][0] / ld(all[p1][0] + all[p1][1] + all[p1][2]);
ld Y1 = all[p1][1] / ld(all[p1][0] + all[p1][1] + all[p1][2]);
ld Z1 = all[p1][2] / ld(all[p1][0] + all[p1][1] + all[p1][2]);
ld X2 = all[p2][0] / ld(all[p2][0] + all[p2][1] + all[p2][2]);
ld Y2 = all[p2][1] / ld(all[p2][0] + all[p2][1] + all[p2][2]);
ld Z2 = all[p2][2] / ld(all[p2][0] + all[p2][1] + all[p2][2]);
ld X = a[0] / ld(a[0] + a[1] + a[2]);
ld Y = a[1] / ld(a[0] + a[1] + a[2]);
ld Z = a[2] / ld(a[0] + a[1] + a[2]);
if (!(X1 <= X && X <= X2)) continue;
// cout << X << " " << Y << " " << Z << "\n";
// cout << X1 << " " << Y1 << " " << Z1 << "\n";
// cout << X2 << " " << Y2 << " " << Z2 << "\n\n";
ld L = 0;
ld R = 1;
fr (rep, 1, 100) {
ld mid = (L + R) / 2.0;
ld t = 0;
t += mid * X1;
t += (1.0 - mid) * X2;
// cout << "mid, t: " << mid << " " << t << "\n";
if (t > X) {
L = mid;
} else {
R = mid;
}
}
// cout << L * X1 + (1.0 - L) * X2 << " " << X << "\n";
{
ld take = L;
ld x = 0, y = 0, z = 0;
x += take * X1;
y += take * Y1;
z += take * Z1;
x += (1.0 - take) * X2;
y += (1.0 - take) * Y2;
z += (1.0 - take) * Z2;
assert(eq(x + y + z, 1.0));
ok &= eq(x, X);
ok &= eq(y, Y);
ok &= eq(z, Z);
}
if (ok) {
cout << "2\n";
found = 1;
break;
}
}
if (found) {
break;
}
}
if (!found) {
cout << "0\n";
}
}
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Incorrect |
2 ms |
212 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Incorrect |
2 ms |
212 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Incorrect |
2 ms |
212 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Incorrect |
2 ms |
212 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
