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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#794971 | #9804. Guess the Polygon | ucup-team133# | WA | 6ms | 3904kb | C++23 | 8.4kb | 2024-11-30 17:13:51 | 2024-11-30 17:13:52 |
Judging History
answer
#include <bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#else
#define debug(...) void(0)
#endif
template <class T> std::istream& operator>>(std::istream& is, std::vector<T>& v) {
for (auto& e : v) {
is >> e;
}
return is;
}
template <class T> std::ostream& operator<<(std::ostream& os, const std::vector<T>& v) {
for (std::string_view sep = ""; const auto& e : v) {
os << std::exchange(sep, " ") << e;
}
return os;
}
template <class T, class U = T> bool chmin(T& x, U&& y) {
return y < x and (x = std::forward<U>(y), true);
}
template <class T, class U = T> bool chmax(T& x, U&& y) {
return x < y and (x = std::forward<U>(y), true);
}
template <class T> void mkuni(std::vector<T>& v) {
std::ranges::sort(v);
auto result = std::ranges::unique(v);
v.erase(result.begin(), result.end());
}
template <class T> int lwb(const std::vector<T>& v, const T& x) {
return std::distance(v.begin(), std::ranges::lower_bound(v, x));
}
template <typename T, bool Reduce = false> class Rational {
static T my_gcd(T x_, T y_) {
unsigned long long x = x_ < 0 ? -x_ : x_, y = y_ < 0 ? -y_ : y_;
if (!x or !y) return x + y;
int n = __builtin_ctzll(x), m = __builtin_ctzll(y);
x >>= n, y >>= m;
while (x != y) {
if (x > y)
x = (x - y) >> __builtin_ctzll(x - y);
else
y = (y - x) >> __builtin_ctzll(y - x);
}
return x << (n > m ? m : n);
}
void normalize() {
if (den < 0) num = -num, den = -den;
if (den == 0) num = (num > 0 ? 1 : num < 0 ? -1 : 0);
if constexpr (Reduce) {
T g = my_gcd(num, den);
if (g > 0) num /= g, den /= g;
}
}
public:
T num, den;
Rational() {}
Rational(T num) : num(num), den(T(1)) {}
Rational(T num, T den) : num(num), den(den) { normalize(); }
Rational operator+(const Rational& r) const { return Rational(num * r.den + den * r.num, den * r.den); }
Rational operator-(const Rational& r) const { return Rational(num * r.den - den * r.num, den * r.den); }
Rational operator*(const Rational& r) const { return Rational(num * r.num, den * r.den); }
Rational operator/(const Rational& r) const { return Rational(num * r.den, den * r.num); }
Rational& operator+=(const Rational& r) { return *this = *this + r; }
Rational& operator-=(const Rational& r) { return *this = *this - r; }
Rational& operator*=(const Rational& r) { return *this = *this * r; }
Rational& operator/=(const Rational& r) { return *this = *this / r; }
Rational operator+(const T& val) const { return *this + Rational(val); }
Rational operator-(const T& val) const { return *this - Rational(val); }
Rational operator*(const T& val) const { return *this * Rational(val); }
Rational operator/(const T& val) const { return *this / Rational(val); }
Rational& operator+=(const T& val) { return *this = *this + val; }
Rational& operator-=(const T& val) { return *this = *this - val; }
Rational& operator*=(const T& val) { return *this = *this * val; }
Rational& operator/=(const T& val) { return *this = *this / val; }
friend Rational operator+(const T& val, const Rational& r) { return r + val; }
friend Rational operator-(const T& val, const Rational& r) { return r - val; }
friend Rational operator*(const T& val, const Rational& r) { return r * val; }
friend Rational operator/(const T& val, const Rational& r) { return r / val; }
Rational operator-() const { return Rational(-num, den); }
Rational abs() const { return Rational(num < 0 ? -num : num, den); }
bool operator==(const Rational& r) const {
if (den == 0 and r.den == 0) return num == r.num;
if (den == 0 or r.den == 0) return false;
return num * r.den == den * r.num;
}
bool operator!=(const Rational& r) const { return !(*this == r); }
bool operator<(const Rational& r) const {
if (den == 0 and r.den == 0) return num < r.num;
if (den == 0) return num < 0;
if (r.den == 0) return r.num > 0;
return num * r.den < den * r.num;
}
bool operator<=(const Rational& r) const { return (*this == r) or (*this < r); }
bool operator>(const Rational& r) const { return r < *this; }
bool operator>=(const Rational& r) const { return (*this == r) or (*this > r); }
bool operator==(const T& val) const { return *this == Rational(val); }
bool operator!=(const T& val) const { return *this != Rational(val); }
bool operator<(const T& val) const { return *this < Rational(val); }
bool operator<=(const T& val) const { return *this <= Rational(val); }
bool operator>(const T& val) const { return *this > Rational(val); }
bool operator>=(const T& val) const { return *this >= Rational(val); }
friend bool operator==(const T& val, const Rational& r) { return r == val; }
friend bool operator!=(const T& val, const Rational& r) { return r != val; }
friend bool operator<(const T& val, const Rational& r) { return r > val; }
friend bool operator<=(const T& val, const Rational& r) { return r >= val; }
friend bool operator>(const T& val, const Rational& r) { return r < val; }
friend bool operator>=(const T& val, const Rational& r) { return r <= val; }
explicit operator double() const { return (double)num / (double)den; }
explicit operator long double() const { return (long double)num / (long double)den; }
friend std::ostream& operator<<(std::ostream& os, const Rational& r) { return os << r.num << '/' << r.den; }
};
using namespace std;
using ll = long long;
using R = Rational<ll, true>;
int rest;
R query(R val) {
assert(rest-- > 0);
cout << "? " << val.num << " " << val.den << endl;
ll r, s;
cin >> r >> s;
return R(r, s);
}
void answer(R ans) { cout << "! " << ans.num << " " << ans.den << endl; }
void solve() {
int n;
cin >> n;
rest = n - 2;
vector<int> x(n), y(n);
for (int i = 0; i < n; i++) cin >> x[i] >> y[i];
map<int, vector<int>> mp;
for (int i = 0; i < n; i++) mp[x[i]].emplace_back(y[i]);
vector<pair<int, vector<int>>> xs;
for (auto [key, val] : mp) xs.emplace_back(key, val);
int N = xs.size();
vector<R> ls(N, -1), rs(N, -1);
ls[0] = rs[N - 1] = 0;
R ans = 0;
long double sum = 0;
for (int i = 0; i + 1 < N; i++) {
R lx = xs[i].first, rx = xs[i + 1].first;
vector<pair<R, R>> line;
{
// determine rs[i];
int len = xs[i].second.size();
if (i == 0) {
if (len == 1) {
line.emplace_back(lx, 0);
} else {
auto qx = lx + R(1, 3);
line.emplace_back(qx, query(qx));
}
} else {
if (len == 1) {
assert(ls[i] != -1);
line.emplace_back(lx, ls[i]);
} else {
auto qx = lx + R(1, 3);
line.emplace_back(qx, query(qx));
}
}
}
{
// determine ls[i + 1];
int len = xs[i + 1].second.size();
if (i + 1 == N - 1) {
if (len == 1) {
line.emplace_back(rx, 0);
} else {
auto qx = rx - R(1, 3);
line.emplace_back(qx, query(qx));
}
} else {
if (len == 1) {
assert(rs[i + 1] == -1);
line.emplace_back(rx, query(rx));
} else {
auto qx = rx - R(1, 3);
line.emplace_back(qx, query(qx));
}
}
}
{
assert(line.size() == 2);
auto d = (line[1].second - line[0].second) / (line[1].first - line[0].first);
rs[i] = line[0].second + d * (lx - line[0].first);
ls[i + 1] = line[0].second + d * (rx - line[0].first);
}
ans += (rs[i] + ls[i + 1]) * (rx - lx) / 2;
{
auto s = rs[i] + ls[i + 1];
sum += (long double)(s.num * (xs[i + 1].first - xs[i].first)) / s.den;
}
}
// assert(ans.den == 1 or ans.den == 2);
ll p = roundl(sum);
ans = (p & 1 ? R(p, 2) : R(p / 2, 1));
answer(ans);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout << fixed << setprecision(15);
int T;
cin >> T;
for (; T--;) solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3592kb
input:
2 4 3 0 1 3 1 1 0 0 4 3 5 3 3 0 0 999 1000 1000 999 1999 1000
output:
? 2 3 ? 4 3 ! 3 1 ? 999 1 ! 1999 2
result:
ok correct! (2 test cases)
Test #2:
score: 0
Accepted
time: 1ms
memory: 3520kb
input:
9 4 1 1 1 3 3 0 0 0 2 1 5 6 4 0 0 1 3 1 1 3 0 2 3 5 2 4 0 0 3 0 1 2 1 1 2 3 5 6 4 0 0 3 0 1 2 1 1 4 3 5 6 4 0 0 3 0 1 1 1 2 2 3 5 3 3 1000 0 0 0 0 1000 2999 3 4 0 0 1000 0 1000 1000 0 1000 1000 1 1000 1 5 0 1 1000 1000 1000 0 0 1000 1 0 2998 3 1000 1 1000 1 9 4 1000 3 1 2 1000 3 1000 1 1 2 1 0 0 1 1...
output:
? 2 3 ? 4 3 ! 5 2 ? 2 3 ? 4 3 ! 7 2 ? 2 3 ? 4 3 ! 3 2 ? 2 3 ? 4 3 ! 2 1 ? 2 3 ? 4 3 ! 5 2 ? 1 3 ! 500000 1 ? 1 3 ? 2999 3 ! 1000000 1 ? 1 3 ? 1 1 ? 2999 3 ! 1999999 2 ? 2 3 ? 4 3 ? 5 3 ? 7 3 ? 8 3 ? 10 3 ? 11 3 ! 4003 2
result:
ok correct! (9 test cases)
Test #3:
score: 0
Accepted
time: 6ms
memory: 3904kb
input:
78 8 951 614 927 614 957 614 957 604 937 614 942 619 951 610 927 604 10 1 10 1 15 1 19 3 10 1 10 1 7 562 260 602 250 582 255 587 260 602 260 562 250 577 260 10 1 10 1 5 1 10 1 10 1 3 454 98 494 68 455 68 117 4 3 526 589 566 559 527 559 117 4 3 854 496 854 466 894 466 119 4 3 797 264 827 254 857 264 ...
output:
? 2782 3 ? 937 1 ? 942 1 ? 2852 3 ? 2854 3 ? 2870 3 ! 317 1 ? 1687 3 ? 577 1 ? 582 1 ? 587 1 ? 1805 3 ! 375 1 ? 455 1 ! 585 1 ? 527 1 ! 585 1 ? 2563 3 ! 600 1 ? 827 1 ! 300 1 ? 2158 3 ! 600 1 ? 162 1 ! 400 1 ? 2227 3 ? 2240 3 ? 2242 3 ? 2255 3 ? 2257 3 ? 2375 3 ! 275 1 ? 2797 3 ? 2810 3 ? 2812 3 ? 2...
result:
ok correct! (78 test cases)
Test #4:
score: -100
Wrong Answer
time: 2ms
memory: 3632kb
input:
34 24 123 815 168 800 133 795 27 827 153 805 28 830 178 780 138 810 78 830 192 772 148 790 88 810 43 825 183 795 103 805 163 785 118 800 93 825 63 835 73 815 58 820 198 790 48 840 108 820 10 3 95 6 15 2 95 6 15 2 95 6 15 2 95 6 15 2 95 6 15 2 95 6 15 2 95 6 15 2 95 6 15 2 95 6 15 2 95 6 15 2 15 1 24...
output:
? 28 1 ? 43 1 ? 48 1 ? 58 1 ? 63 1 ? 73 1 ? 78 1 ? 88 1 ? 93 1 ? 103 1 ? 108 1 ? 118 1 ? 123 1 ? 133 1 ? 138 1 ? 148 1 ? 153 1 ? 163 1 ? 168 1 ? 178 1 ? 183 1 ? 192 1 ! 1925 1 ? 54 1 ? 69 1 ? 74 1 ? 84 1 ? 89 1 ? 99 1 ? 104 1 ? 114 1 ? 119 1 ? 129 1 ? 134 1 ? 144 1 ? 149 1 ? 159 1 ? 164 1 ? 174 1 ? ...
result:
wrong answer format Expected int32, but "-4611686018427387904" found (test case 27)