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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#798120#9804. Guess the PolygonsnowysecretWA 6ms10132kbC++203.9kb2024-12-04 07:15:262024-12-04 07:15:26

Judging History

This is the latest submission verdict.

  • [2024-12-04 07:15:26]
  • Judged
  • Verdict: WA
  • Time: 6ms
  • Memory: 10132kb
  • [2024-12-04 07:15:26]
  • Submitted

answer

#include "bits/stdc++.h"
using namespace std;
#define int long long
#define double long double
const int MAXN = 4e5 + 10, MOD = 1e9 + 7, HASHMOD = 1734232211;
int fac[MAXN], invfac[MAXN];
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) { return uniform_int_distribution<int>(x, y)(rng); }
int bm(int b, int p) {
  if(p==0) return 1 % MOD;
  int r = bm(b, p >> 1);
  if(p&1) return (((r*r) % MOD) * b) % MOD;
  return (r*r) % MOD;
}
int inv(int b) { return bm(b, MOD-2); }
vector<int> prefix_function(vector<int> t) {
  int n = t.size(); vector<int> lps(n, 0);
  for(int i=1; i<n; i++) {
    int j = lps[i-1]; while(j > 0 && t[i] != t[j]) j = lps[j-1];
    lps[i] = (t[i] == t[j] ? j+1 : 0); 
  } return lps;
}
int nCr(int n, int r) {
  return (((fac[n] * invfac[r]) % MOD) * invfac[n-r]) % MOD;
}
void precomp() {
  for(int i=0; i<MAXN; i++) fac[i] = (i ? (fac[i-1] * i) % MOD : 1);
  invfac[MAXN - 1] = inv(fac[MAXN - 1]);
  for(int i=MAXN-2; i>=0; i--) invfac[i] = (invfac[i+1] * (i+1)) % MOD;
}
struct Fraction {
  int p, q;
  Fraction() : p(0), q(1) {}
  Fraction(int num, int den) {
    assert(den != 0 && "Denominator cannot be zero");
    int g = gcd(num, den);
    p = num / g;
    q = den / g;
    if (q < 0) {
      p = -p;
      q = -q;
    }
  }
  Fraction operator+(Fraction other) const {
    int l = q * other.q / gcd(q, other.q); 
    int num = p * l/q + other.p * l/other.q;
    return Fraction(num, l);
  }
  Fraction operator-(Fraction other) const {
    int l = q * other.q / gcd(q, other.q); 
    int num = p * l/q - other.p * l/other.q;
    return Fraction(num, l);
  }
  Fraction operator*(Fraction other) const {
    return Fraction(p * other.p, q * other.q);
  }
  Fraction operator/(Fraction other) const {
    return Fraction(p * other.q, q * other.p);
  }
};
Fraction frac(int p, int q) {
  return {p, q};
}
Fraction ask(Fraction give) {
  assert(give.p * 1. / give.q <= 1000 && give.q <= 1000);
  cout << "? " << give.p << " " << give.q << endl;
  int p, q;
  cin >> p >> q;
  return frac(p, q);
}
void solve(int tc) {
  int n;
  cin >> n;
  pair<int, int> p[n+1];
  for(int i=1; i<=n; i++) {
    cin >> p[i].first >> p[i].second;
  }
  sort(p + 1, p + n + 1);
  Fraction ans = {0, 1};
  
  map<int, int> mp;
  map<int, Fraction> len;
  for(int i=1; i<=n; i++) mp[p[i].first]++;
  vector<int> xs;
  for(auto x: mp) xs.push_back(x.first);
  for(int i=1; i+1<xs.size(); i++) {
    if(mp[xs[i]] == 1) {
      len[xs[i]] = ask(frac(xs[i], 1));
    }
  }
  for(int i=1; i<xs.size(); i++) {
    Fraction llen, rlen;
    Fraction height = frac(xs[i] - xs[i-1], 2);
    if(mp[xs[i-1]] == 1) llen = len[xs[i-1]];
    else llen = ask(frac(xs[i-1], 1) + frac(1, 1000));
    if(mp[xs[i]] == 1) rlen = len[xs[i]];
    else rlen = ask(frac(xs[i], 1) - frac(1, 1000));
    if(mp[xs[i-1]] == 1 && mp[xs[i]] > 1) {
      rlen = llen + (rlen - llen) * (frac(xs[i] - xs[i-1], 1) / (frac(xs[i] - xs[i-1], 1) - frac(1, 1000)));
    }
    else if(mp[xs[i-1]] > 1 && mp[xs[i]] == 1) {
      llen = rlen - (rlen - llen) * (frac(xs[i] - xs[i-1], 1) / (frac(xs[i] - xs[i-1], 1) - frac(1, 1000)));
    }
    else if(mp[xs[i-1]] > 1 && mp[xs[i]] > 1) {
      rlen = llen + (rlen - llen) * (frac(xs[i] - xs[i-1], 1) / (frac(xs[i] - xs[i-1], 1) - frac(1, 500)));
      llen = rlen - (rlen - llen) * (frac(xs[i] - xs[i-1], 1) / (frac(xs[i] - xs[i-1], 1) - frac(1, 1000)));
    }
    Fraction trapezium = (rlen + llen) * height;
    ans = ans + trapezium;
  }
  cout << "! " << ans.p << " " << ans.q << endl;

/*
? 1999 1000
1999 1000
? 2 1
2 1
? 4 1
6 1
? 5999 1000
13999 1200
? 6 1
7 1
*/

  


}
int32_t main() {
  precomp();
  //ios::sync_with_stdio(0); cin.tie(0);
  int t = 1; cin >> t;
  for(int i=1; i<=t; i++) solve(i);
}
/*
g++ code.cpp -std=c++17 -O2 -o code
./code < input.txt
*/

Details

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Test #1:

score: 100
Accepted
time: 6ms
memory: 10132kb

input:

2
4
3 0
1 3
1 1
0 0
999 500
1999 1000
3
0 0
999 1000
1000 999
1999 1000

output:

? 999 1000
? 1001 1000
! 3 1
? 999 1
! 1999 2

result:

ok correct! (2 test cases)

Test #2:

score: -100
Wrong Answer
time: 3ms
memory: 9832kb

input:

9
4
1 1
1 3
3 0
0 0
2997 1000
1999 2000
4
0 0
1 3
1 1
3 0
999 1000
5997 2000
4
0 0
3 0
1 2
1 1
999 1000
1999 2000
4
0 0
3 0
1 2
1 1
999 500
1999 2000
4
0 0
3 0
1 1
1 2
999 1000
1999 1000
3
1000 0
0 0
0 1000
999999 1000
4
0 0
1000 0
1000 1000
0 1000
1000 1
1000 1
5
0 1
1000 1000
1000 0
0 1000
1 0
100...

output:

? 999 1000
? 1001 1000
! 5 2
? 999 1000
? 1001 1000
! 7 2
? 999 1000
? 1001 1000
! 3 2
? 999 1000
? 1001 1000
! 2 1
? 999 1000
? 1001 1000
! 5 2
? 1 1000
! 500000 1
? 1 1000
? 999999 1000
! 1000000 1
? 1 1
? 1 1000
? 999999 1000
! 1999999 2
? 999 1000
? 1001 1000
? 1999 1000
? 2001 1000
? 2999 1000
...

result:

wrong answer Integer parameter [name=x] equals to 2002997, violates the range [0, 2000000] (test case 9)