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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#795880 | #9804. Guess the Polygon | ucup-team4435# | RE | 0ms | 3612kb | C++23 | 6.2kb | 2024-12-01 03:14:46 | 2024-12-01 03:14:46 |
Judging History
answer
#include "bits/stdc++.h"
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define rep1(i, n) for (int i = 1; i < (n); ++i)
#define rep1n(i, n) for (int i = 1; i <= (n); ++i)
#define repr(i, n) for (int i = (n) - 1; i >= 0; --i)
#define pb push_back
#define eb emplace_back
#define all(a) (a).begin(), (a).end()
#define rall(a) (a).rbegin(), (a).rend()
#define each(x, a) for (auto &x : a)
#define ar array
#define vec vector
#define range(i, n) rep(i, n)
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using str = string;
using pi = pair<int, int>;
using pl = pair<ll, ll>;
using vi = vector<int>;
using vl = vector<ll>;
using vpi = vector<pair<int, int>>;
using vvi = vector<vi>;
int Bit(int mask, int b) { return (mask >> b) & 1; }
template<class T>
bool ckmin(T &a, const T &b) {
if (b < a) {
a = b;
return true;
}
return false;
}
template<class T>
bool ckmax(T &a, const T &b) {
if (b > a) {
a = b;
return true;
}
return false;
}
// [l, r)
template<typename T, typename F>
T FindFirstTrue(T l, T r, const F &predicat) {
--l;
while (r - l > 1) {
T mid = l + (r - l) / 2;
if (predicat(mid)) {
r = mid;
} else {
l = mid;
}
}
return r;
}
template<typename T, typename F>
T FindLastFalse(T l, T r, const F &predicat) {
return FindFirstTrue(l, r, predicat) - 1;
}
const int INFi = 2e9;
const ll INF = 2e18;
template<class T>
class Frac {
public:
T num;
T den;
Frac(T num, T den) : num(num), den(den) {
if (den < 0) {
den = -den;
num = -num;
}
}
Frac() : Frac(0, 1) {}
Frac(T num) : Frac(num, 1) {}
double toDouble() const {
return 1.0 * num / den;
}
void normalize() {
assert(den > 0);
ll g = abs(gcd(num, den));
num /= g;
den /= g;
}
Frac &operator+=(const Frac &rhs) {
num = num * rhs.den + rhs.num * den;
den *= rhs.den;
return *this;
}
Frac &operator-=(const Frac &rhs) {
num = num * rhs.den - rhs.num * den;
den *= rhs.den;
return *this;
}
Frac &operator*=(const Frac &rhs) {
num *= rhs.num;
den *= rhs.den;
return *this;
}
Frac &operator/=(const Frac &rhs) {
num *= rhs.den;
den *= rhs.num;
if (den < 0) {
num = -num;
den = -den;
}
return *this;
}
friend Frac operator+(Frac lhs, const Frac &rhs) {
return lhs += rhs;
}
friend Frac operator-(Frac lhs, const Frac &rhs) {
return lhs -= rhs;
}
friend Frac operator*(Frac lhs, const Frac &rhs) {
return lhs *= rhs;
}
friend Frac operator/(Frac lhs, const Frac &rhs) {
return lhs /= rhs;
}
friend Frac operator-(const Frac &a) {
return Frac(-a.num, a.den);
}
friend bool operator==(const Frac &lhs, const Frac &rhs) {
return lhs.num * rhs.den == rhs.num * lhs.den;
}
friend bool operator!=(const Frac &lhs, const Frac &rhs) {
return lhs.num * rhs.den != rhs.num * lhs.den;
}
friend bool operator<(const Frac &lhs, const Frac &rhs) {
return lhs.num * rhs.den < rhs.num * lhs.den;
}
friend bool operator>(const Frac &lhs, const Frac &rhs) {
return lhs.num * rhs.den > rhs.num * lhs.den;
}
friend bool operator<=(const Frac &lhs, const Frac &rhs) {
return lhs.num * rhs.den <= rhs.num * lhs.den;
}
friend bool operator>=(const Frac &lhs, const Frac &rhs) {
return lhs.num * rhs.den >= rhs.num * lhs.den;
}
};
using Fraction = Frac<ll>;
Fraction ask(ll p, ll q) {
cout << "? " << p << " " << q << endl;
ll r, s; cin >> r >> s;
return {r, s};
}
void solve() {
map<int, int> cnt;
int n; cin >> n;
rep(_, n) {
int x, y; cin >> x >> y;
cnt[x]++;
}
vector<pi> a(all(cnt));
Fraction result;
auto Add = [&] (Fraction len1, Fraction len2, Fraction xdiff, Fraction ladd, Fraction radd) {
Fraction L = len1;
if (ladd.num != 0) {
auto df = len1 - len2;
df.normalize();
df /= xdiff;
df.normalize();
df *= (xdiff + ladd);
df.normalize();
L = df + len2;
L.normalize();
}
Fraction R = len2;
if (radd.num != 0) {
auto df = len2 - len1;
df.normalize();
df /= xdiff;
df.normalize();
df *= (xdiff + radd);
df.normalize();
R = df + len1;
R.normalize();
}
auto h = xdiff + ladd + radd;
h /= 2;
h.normalize();
auto res = (L + R) * h;
res.normalize();
result += res;
result.normalize();
};
Fraction len1 = {0, 1};
Fraction ladd = 0;
Fraction prv = a[0].first;
for(int i = 1; i + 1 < a.size(); ++i) {
if (a[i].second == 1) {
auto cur = ask(a[i].first, 1);
Add(len1, cur, a[i].first - prv, ladd, 0);
prv = a[i].first;
ladd = 0;
len1 = cur;
continue;
}
Fraction radd = {1, 3};
Fraction rp = a[i].first - radd;
rp.normalize();
Fraction len2 = ask(rp.num, rp.den);
Fraction xdiff = rp - prv;
Add(len1, len2, xdiff, ladd, radd);
prv = a[i].first + radd;
ladd = radd;
ladd.normalize();
prv.normalize();
len1 = ask(prv.num, prv.den);
}
assert(a.size() >= 2);
{
Fraction cur = {0, 1};
Add(len1, cur, a.back().first - prv, ladd, 0);
}
cout << "! " << result.num << ' ' << result.den << endl;
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout << setprecision(12) << fixed;
int t = 1;
cin >> t;
rep(i, t) {
solve();
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3612kb
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: -100
Runtime Error
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
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 ! 0 1