QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#795893 | #9804. Guess the Polygon | ucup-team4435# | RE | 5ms | 3624kb | C++23 | 6.7kb | 2024-12-01 03:30:37 | 2024-12-01 03:30:38 |
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;
}
normalize();
}
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<pair<ll, ll>> a(all(cnt));
if (a.size() <= 1) {
cout << "! 0 1" << endl;
return;
}
Fraction result(0, 1);
auto Add = [&] (Fraction len1, Fraction len2, Fraction xdiff, Fraction ladd, Fraction radd) {
xdiff.normalize();
assert(xdiff.num != 0);
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, ladd, prv;
if (a[0].second == 1) {
len1 = {0, 1};
ladd = {0, 1};
prv = {a[0].first, 1};
} else {
len1 = ask(a[0].first, 1);
ladd = {0, 1};
prv = {a[0].first, 1};
}
for(int i = 1; i + 1 < (int)a.size(); ++i) {
if (a[i].second == 1) {
Fraction nx = {a[i].first, 1};
Fraction cur = ask(a[i].first, 1);
Add(len1, cur, nx - prv, ladd, 0);
prv = nx;
ladd = {0, 1};
len1 = cur;
continue;
}
Fraction radd = {1, 4};
Fraction nx = {a[i].first, 1};
Fraction rp = nx - radd;
rp.normalize();
Fraction len2 = ask(rp.num, rp.den);
Fraction xdiff = rp - prv;
Add(len1, len2, xdiff, ladd, radd);
prv = nx + radd;
ladd = radd;
ladd.normalize();
prv.normalize();
len1 = ask(prv.num, prv.den);
}
{
Fraction radd = {0, 1};
Fraction nx = {a.back().first, 1};
Fraction len2 = {0, 1};
if (a.back().second > 1) {
len2 = ask(nx.num, nx.den);
}
Add(len1, len2, nx - prv, ladd, radd);
}
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
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3620kb
input:
2 4 3 0 1 3 1 1 0 0 3 2 7 4 3 0 0 999 1000 1000 999 1999 1000
output:
? 3 4 ? 5 4 ! 3 1 ? 999 1 ! 1999 2
result:
ok correct! (2 test cases)
Test #2:
score: 0
Accepted
time: 1ms
memory: 3624kb
input:
9 4 1 1 1 3 3 0 0 0 9 4 7 8 4 0 0 1 3 1 1 3 0 3 4 21 8 4 0 0 3 0 1 2 1 1 3 4 7 8 4 0 0 3 0 1 2 1 1 3 2 7 8 4 0 0 3 0 1 1 1 2 3 4 7 4 3 1000 0 0 0 0 1000 1000 1 4 0 0 1000 0 1000 1000 0 1000 1000 1 1000 1 5 0 1 1000 1000 1000 0 0 1000 1 0 999 1 1000 1 1000 1 9 4 1000 3 1 2 1000 3 1000 1 1 2 1 0 0 1 1...
output:
? 3 4 ? 5 4 ! 5 2 ? 3 4 ? 5 4 ! 7 2 ? 3 4 ? 5 4 ! 3 2 ? 3 4 ? 5 4 ! 2 1 ? 3 4 ? 5 4 ! 5 2 ? 0 1 ! 500000 1 ? 0 1 ? 1000 1 ! 1000000 1 ? 0 1 ? 1 1 ? 1000 1 ! 1999999 2 ? 3 4 ? 5 4 ? 7 4 ? 9 4 ? 11 4 ? 13 4 ? 4 1 ! 4003 2
result:
ok correct! (9 test cases)
Test #3:
score: 0
Accepted
time: 5ms
memory: 3600kb
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 25 4 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 30 1 3 797 264 827 254 857 264 1...
output:
? 927 1 ? 937 1 ? 942 1 ? 3803 4 ? 3805 4 ? 957 1 ! 317 1 ? 562 1 ? 577 1 ? 582 1 ? 587 1 ? 602 1 ! 375 1 ? 455 1 ! 585 1 ? 527 1 ! 585 1 ? 854 1 ! 600 1 ? 827 1 ! 300 1 ? 719 1 ! 600 1 ? 162 1 ! 400 1 ? 742 1 ? 2987 4 ? 2989 4 ? 3007 4 ? 3009 4 ? 792 1 ! 275 1 ? 932 1 ? 3747 4 ? 3749 4 ? 3767 4 ? 3...
result:
ok correct! (78 test cases)
Test #4:
score: -100
Runtime Error
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 ? ...