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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#529809#9227. Henry the Plumberucup-team008#AC ✓1ms3704kbC++177.1kb2024-08-24 14:04:592024-08-24 14:05:00

Judging History

你现在查看的是最新测评结果

  • [2024-08-24 14:05:00]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3704kb
  • [2024-08-24 14:04:59]
  • 提交

answer

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <complex>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <unordered_map>
#include <vector>

using namespace std;

// BEGIN NO SAD
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define trav(a, x) for(auto& a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
typedef vector<int> vi;
#define f first
#define s second
#define derr if(0) cerr
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}

template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#define debug(x...) cerr << "\e[91m"<<__func__<<":"<<__LINE__<<" [" << #x << "] = ["; _print(x); cerr << "\e[39m" << flush;
// END NO SAD

template<class Fun>
class y_combinator_result {
  Fun fun_;
public:
  template<class T>
  explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}

  template<class ...Args>
  decltype(auto) operator()(Args &&...args) {
    return fun_(std::ref(*this), std::forward<Args>(args)...);
  }
};

template<class Fun>
decltype(auto) y_combinator(Fun &&fun) {
  return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
}

template<class T>
bool updmin(T& a, T b) {
  if(b < a) {
    a = b;
    return true;
  }
  return false;
}
template<class T>
bool updmax(T& a, T b) {
  if(b > a) {
    a = b;
    return true;
  }
  return false;
}
typedef int64_t ll;

template<class T>
struct Point {
	typedef Point P;
	T x, y;
	explicit Point(T x=0, T y=0) : x(x), y(y) {}
	bool operator<(P p) const { return tie(x,y) < tie(p.x,p.y); }
	bool operator==(P p) const { return tie(x,y)==tie(p.x,p.y); }
	P operator+(P p) const { return P(x+p.x, y+p.y); }
	P operator-(P p) const { return P(x-p.x, y-p.y); }
	P operator*(T d) const { return P(x*d, y*d); }
	P operator/(T d) const { return P(x/d, y/d); }
	T dot(P p) const { return x*p.x + y*p.y; }
	T cross(P p) const { return x*p.y - y*p.x; }
	T cross(P a, P b) const { return (a-*this).cross(b-*this); }
	T dist2() const { return x*x + y*y; }
	double dist() const { return sqrt((double)dist2()); }
	// angle to x-axis in interval [-pi, pi]
	double angle() const { return atan2(y, x); }
	P unit() const { return *this/dist(); } // makes dist()=1
	P perp() const { return P(-y, x); } // rotates +90 degrees
	P normal() const { return perp().unit(); }
	// returns point rotated 'a' radians ccw around the origin
	P rotate(double a) const {
		return P(x*cos(a)-y*sin(a),x*sin(a)+y*cos(a)); }
};
template<class P>
int lineIntersection(const P& s1, const P& e1, const P& s2,
		const P& e2, P& r) {
	if ((e1-s1).cross(e2-s2)) { //if not parallell
		r = s2-(e2-s2)*(e1-s1).cross(s2-s1)/(e1-s1).cross(e2-s2);
		return 1;
	} else
		return -((e1-s1).cross(s2-s1)==0 || s2==e2);
}
typedef Point<long double> P;

template<class T> struct Point3D {
	typedef Point3D P;
	typedef const P& R;
	T x, y, z;
	explicit Point3D(T x=0, T y=0, T z=0) : x(x), y(y), z(z) {}
	bool operator<(R p) const {
		return tie(x, y, z) < tie(p.x, p.y, p.z); }
	bool operator==(R p) const {
		return tie(x, y, z) == tie(p.x, p.y, p.z); }
	P operator+(R p) const { return P(x+p.x, y+p.y, z+p.z); }
	P operator-(R p) const { return P(x-p.x, y-p.y, z-p.z); }
	P operator*(T d) const { return P(x*d, y*d, z*d); }
	P operator/(T d) const { return P(x/d, y/d, z/d); }
	T dot(R p) const { return x*p.x + y*p.y + z*p.z; }
	P cross(R p) const {
		return P(y*p.z - z*p.y, z*p.x - x*p.z, x*p.y - y*p.x);
	}
	T dist2() const { return x*x + y*y + z*z; }
	double dist() const { return sqrt((double)dist2()); }
	//Azimuthal angle (longitude) to x-axis in interval [-pi, pi]
	double phi() const { return atan2(y, x); } 
	//Zenith angle (latitude) to the z-axis in interval [0, pi]
	double theta() const { return atan2(sqrt(x*x+y*y),z); }
	P unit() const { return *this/(T)dist(); } //makes dist()=1
	//returns unit vector normal to *this and p
	P normal(P p) const { return cross(p).unit(); }
	//returns point rotated 'angle' radians ccw around axis
	P rotate(double angle, P axis) const {
		double s = sin(angle), c = cos(angle); P u = axis.unit();
		return u*dot(u)*(1-c) + (*this)*c - cross(u)*s;
	}
};
typedef Point3D<long double> P3D;
typedef Point3D<ll> P3Dll;

void normalize(int &a, int& b) {
  int g = gcd(a, b);
  a /= g;
  b /= g;
  if(a < 0 || (a == 0 && b < 0)) {
    a *= -1;
    b *= -1;
  }
}
void rsolve() {
  int xa, ya, za, ax, ay;
  int xb, yb, zb, bx, by;
  cin >> xa >> ya >> za >> ax >> ay;
  cin >> xb >> yb >> zb >> bx >> by;
  if(xa == xb && ya == yb) {
    return void(cout << "2\n");
  }
  normalize(ax, ay);
  normalize(bx, by);
  if(ax == bx && ay == by) {
    if(ax*xa+ay*ya == bx*xb+by*yb) {
      return void(cout << "2\n");
    }
    else {
      return void(cout << "4\n");
    }
  }
  P al = P(xa, ya);
  P ar = al + P(ax, ay).perp();
  P bl = P(xb, yb);
  P br = bl + P(bx, by).perp();
  P center;
  if(lineIntersection(al, ar, bl, br, center) == 0) {
    return void(cout << "4\n");
  }
  double dist = (P3D(xa, ya, za)-P3D(xb, yb, zb)).dist()/2;
  P3D spherecenter = (P3D(xa, ya, za)+P3D(xb, yb, zb))*0.5;
  double canddist = (spherecenter-P3D(center.x, center.y, spherecenter.z)).dist();
  if(canddist > dist + 1e-9) {
    return void(cout << "4\n");
  }
  if(canddist < dist - 1e-9) {
    return void(cout << "3\n");
  }
  if(za == zb) {
    if((center-al).dist() < 1e-9 || (center-bl).dist() < 1e-9) {
      return void(cout << "4\n");
    }
  }
  cout << "3\n";
}
void solve() {
  int t;
  cin >> t;
  while(t--) rsolve();
}

// what would chika do
// are there edge cases (N=1?)
// are array sizes proper (scaled by proper constant, for example 2* for koosaga tree)
// integer overflow?
// DS reset properly between test cases
// are you doing geometry in floating points
// are you not using modint when you should

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3644kb

input:

2
-1 -1 3
1 1
2 2 3
2 2
5 5 1
3 0
7 6 -2
1 -2

output:

4
3

result:

ok 2 number(s): "4 3"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

100
-13 -5 -7
-19 19
-19 -13 0
-7 15
-20 20 19
-17 18
20 -20 -1
18 -19
-18 15 -14
-19 18
19 -20 6
20 -19
-12 9 1
7 -16
-13 -14 -8
8 -13
-19 16 9
20 -19
19 -18 -11
19 -18
19 20 -8
12 20
-11 -9 18
-19 -18
8 11 -13
12 -18
18 13 8
4 -18
-16 20 17
-19 18
20 -18 -3
20 -19
-17 -20 -5
-18 -19
19 16 15
19 20...

output:

4
4
4
4
4
4
3
4
4
4
3
4
4
3
3
4
3
4
4
4
4
4
4
4
4
4
4
4
3
3
3
4
4
4
4
4
4
4
4
4
4
4
4
4
3
4
4
4
4
4
3
4
3
4
4
4
3
4
4
4
4
4
4
4
3
4
3
4
4
4
4
4
4
4
4
4
4
4
4
3
4
4
4
4
4
4
4
3
3
4
3
4
4
4
4
4
4
4
4
4

result:

ok 100 numbers

Test #3:

score: 0
Accepted
time: 0ms
memory: 3516kb

input:

100
20 -9 -19
9 13
-12 14 -18
-17 12
2 -3 -2
2 -19
-8 9 -15
-19 3
-16 -16 -18
2 15
19 17 -6
-10 11
14 -20 -6
-19 7
-17 -8 -1
-7 -15
7 -15 3
2 13
-15 -9 11
15 2
-17 20 13
11 -8
-12 18 16
-18 -17
-17 15 -2
-20 1
8 -6 0
-16 -19
-5 -14 16
-17 10
-7 -16 17
-10 -13
1 1 -13
17 11
-3 -3 -18
4 -17
19 -6 -17
...

output:

3
4
4
4
3
3
4
3
3
4
4
3
4
4
3
3
4
3
4
4
4
4
3
4
3
4
4
3
3
4
4
4
3
4
3
3
4
3
3
4
3
4
3
4
3
4
3
4
4
3
3
4
3
3
4
3
3
4
4
3
3
4
4
3
4
3
3
4
3
3
3
4
3
4
3
4
3
4
3
4
4
3
3
4
3
4
4
4
4
3
3
3
3
4
3
3
4
4
4
4

result:

ok 100 numbers

Test #4:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

100
10 -9 -13
8 -7
-3 3 -15
-5 11
-14 -20 -17
13 -13
3 20 16
-20 8
-2 -15 -20
8 20
20 -10 15
12 6
4 2 20
14 14
-13 6 -20
-10 20
-18 -15 19
10 9
4 18 -11
-16 -15
20 -11 6
15 -10
-17 -19 -6
-6 8
-19 -19 -18
-11 -9
-6 4 18
11 -5
2 -18 20
0 -12
-10 -18 -17
20 -20
19 19 17
2 -11
-20 2 -16
-19 13
-6 6 -5
...

output:

4
3
4
3
4
4
3
3
3
4
4
3
3
3
4
4
3
3
3
4
4
4
3
4
3
3
3
3
4
4
3
4
4
3
4
3
3
4
4
3
3
3
4
4
3
4
4
4
4
4
3
4
3
4
4
4
3
4
4
3
4
4
3
3
3
4
3
3
3
3
4
4
4
4
3
4
4
3
4
3
4
3
3
3
4
4
3
4
3
4
4
3
4
3
4
4
3
3
4
4

result:

ok 100 numbers

Test #5:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

100
4 -19 -4
4 18
-15 20 -15
-16 18
-11 -10 -13
-7 14
20 -17 0
6 -20
-12 18 -8
3 -14
20 16 17
10 17
0 19 -17
-11 6
18 -19 -7
13 -13
-17 17 -17
-5 -1
17 -13 19
-10 -12
9 -3 -19
-12 -2
-16 11 13
12 -8
17 12 11
-1 20
13 -14 -5
-4 16
-20 8 -16
16 -3
9 -3 -6
14 -12
16 4 9
-16 -10
-15 -3 -17
-20 -2
20 2 1...

output:

4
4
3
4
3
4
4
4
4
4
3
4
3
4
3
3
4
3
3
4
3
4
3
3
4
4
4
4
4
3
3
4
3
4
3
4
4
4
4
4
3
4
4
4
3
4
4
4
4
4
4
4
4
3
4
4
4
4
4
3
3
3
4
4
4
4
4
3
3
4
3
4
4
4
4
3
4
4
3
4
3
4
3
4
4
4
4
4
4
3
4
3
4
4
4
4
3
4
4
4

result:

ok 100 numbers

Test #6:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

100
-1 -13 -13
-14 -8
-1 -3 15
6 -14
19 -1 -16
-20 -14
-16 12 18
20 17
-19 17 -6
16 13
15 -8 18
16 10
17 20 0
0 -13
-19 -19 15
-14 -14
-11 -16 17
17 18
0 2 -10
20 -5
-8 -16 0
3 12
-19 0 -3
1 -14
-18 3 -12
-14 -15
20 1 17
20 -4
-20 6 20
20 -7
20 1 -9
-13 -4
2 17 -18
11 13
8 16 14
-12 16
-11 12 -20
0 ...

output:

3
4
4
4
3
4
4
4
3
4
4
4
3
4
3
4
3
4
3
3
4
4
3
3
3
4
4
4
3
3
4
4
4
3
4
4
4
4
3
3
4
4
4
4
4
4
3
4
4
3
3
3
4
3
3
4
4
4
3
4
4
3
3
3
3
4
4
4
4
3
3
3
4
4
3
4
3
3
4
3
3
4
3
4
4
3
3
3
4
4
3
3
4
3
3
3
3
3
4
3

result:

ok 100 numbers

Test #7:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

100
-16 0 17
16 16
16 -12 -16
14 12
19 -13 -20
-16 -8
-14 20 14
-6 -20
6 -19 12
18 -2
7 20 -19
3 -20
19 -5 12
-16 -12
-9 -11 0
19 4
11 -20 12
14 -14
-19 16 1
-12 -1
-8 -14 11
-15 2
9 -11 18
4 20
-14 3 -16
-20 -4
11 -16 7
-10 -11
20 16 -19
-10 8
-20 0 13
-17 -8
20 -17 2
14 -2
-17 13 7
-8 -11
-8 -6 -2...

output:

4
3
3
4
4
3
3
4
3
3
3
4
3
4
4
4
4
4
4
4
4
4
4
4
4
3
4
4
4
4
4
3
4
4
3
4
3
4
4
4
4
4
4
3
4
3
4
4
4
3
3
3
4
4
4
3
4
4
4
3
4
3
4
4
4
4
4
4
3
3
3
4
3
4
4
4
3
4
4
3
3
4
3
4
3
4
4
3
4
3
4
3
4
3
4
3
3
4
3
4

result:

ok 100 numbers

Test #8:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

1
1 -1 1
1 1
1 1 2
-1 1

output:

3

result:

ok 1 number(s): "3"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

100
20 19 -6
18 19
-19 -20 14
19 20
-1 19 -19
6 18
12 -20 19
18 19
4 0 -18
-19 10
-13 12 7
-8 11
-19 -18 -9
-19 -20
18 20 11
18 19
-19 19 8
18 -19
18 -19 -12
-19 20
11 12 9
-15 -2
-12 -12 -4
3 11
-19 9 -10
-18 3
-3 -19 4
20 11
-19 -20 10
-20 -19
17 20 -10
19 18
-17 -20 14
19 20
17 20 -6
-18 -19
9 -1...

output:

4
4
4
4
4
4
3
4
4
3
4
4
4
4
3
4
4
3
4
4
4
4
3
4
4
4
4
3
4
4
3
4
4
3
3
4
4
4
4
4
4
4
4
4
4
3
4
4
3
4
3
4
4
4
4
3
3
4
4
4
3
3
4
4
3
4
3
3
4
3
4
3
4
4
4
4
4
4
4
3
4
4
3
4
4
3
4
4
4
4
4
4
4
4
4
3
4
4
4
4

result:

ok 100 numbers

Test #10:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

100
13 -13 12
5 12
12 20 14
-14 -8
18 -17 -5
-1 -17
-10 9 9
-10 18
13 -17 -1
19 -18
11 1 -2
-17 -18
16 19 -17
-8 6
-14 -1 16
-18 6
4 -14 18
-10 14
13 3 12
-1 -14
-20 1 -11
12 15
20 4 -20
-7 -17
8 -19 1
-9 -10
-19 8 -4
-17 18
6 -14 -12
-12 -5
-12 6 19
-18 -11
-16 -16 -10
15 16
12 18 -9
-17 16
-18 5 -...

output:

4
4
4
4
4
4
4
4
4
4
4
4
4
3
3
3
3
4
3
4
3
3
4
4
4
4
4
4
3
3
3
3
3
3
3
3
4
3
4
3
4
4
4
4
4
3
4
3
3
4
4
3
3
3
3
3
4
3
3
3
3
3
3
3
3
3
3
4
4
4
4
3
4
3
4
4
4
4
3
4
4
3
3
3
3
4
4
4
4
3
4
3
4
4
3
4
4
4
4
4

result:

ok 100 numbers

Test #11:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

73
14 -7 7
1 10
-16 -4 11
1 10
-14 -13 -16
1 -8
-6 -12 -10
-2 16
-5 -10 -12
0 -13
15 -10 0
0 -2
19 20 19
17 -9
-14 -20 -15
-20 6
3 19 4
-16 -1
5 -13 11
-16 -1
-19 -20 -17
0 11
-19 -20 -10
2 -3
-9 -15 -18
1 -13
17 -13 -11
1 -13
10 -20 17
8 -1
15 20 1
16 -2
-20 -18 8
0 -11
12 -18 17
0 -10
-4 0 10
9 0
...

output:

2
2
2
4
2
2
2
2
2
2
2
2
2
4
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
3
2
2
2
2
2
4
2
2
2
2
2
2
4
3
4
2
2
2
2
2
4
3
2
2
2
4
2
2
2
2
2
4
2
2
3
2
2

result:

ok 73 numbers

Test #12:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

100
-20 -20 10
-1 1
20 20 10
-1 6
15 -19 12
-17 20
-18 20 10
17 15
7 -19 0
-16 13
18 17 -10
11 15
17 13 9
-16 15
-6 -13 14
-13 -20
-19 2 13
-8 13
20 -13 -12
-19 -8
-20 20 4
-11 -11
20 -20 4
10 -10
-12 3 0
12 -17
-14 20 17
12 17
6 -19 7
-11 -20
14 8 -6
17 -13
-12 10 -2
19 20
15 -15 -9
-20 3
4 19 -19
...

output:

4
3
4
3
3
4
4
3
3
4
4
4
3
4
3
4
3
4
4
4
4
3
4
4
4
4
3
4
4
4
3
4
4
3
3
4
3
3
3
4
4
3
4
4
3
4
4
4
4
3
3
3
4
4
4
4
4
4
4
4
4
4
4
3
4
3
4
4
4
4
4
4
4
3
4
4
4
4
4
4
3
4
4
4
4
3
3
4
4
3
4
3
3
4
4
4
3
4
4
3

result:

ok 100 numbers

Test #13:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

100
3 -20 5
19 -11
18 2 18
17 7
18 -6 -20
20 19
-19 -9 20
13 -6
-15 -13 12
-13 1
20 -1 -5
-9 20
-16 -18 -11
16 3
15 18 2
17 -14
-6 -20 15
17 7
9 2 2
19 -11
8 19 2
20 19
4 -19 4
18 -19
12 -19 19
-12 -5
-10 20 2
13 -16
-8 0 20
13 14
17 12 11
16 -13
6 -19 9
1 13
-18 19 -14
-19 -14
-18 -20 -19
-8 19
5 1...

output:

4
4
4
4
4
4
3
3
3
3
3
3
4
4
3
4
4
4
4
4
3
3
4
3
4
4
4
3
3
3
4
4
4
3
4
4
3
3
4
3
4
4
4
3
4
4
3
3
3
4
3
3
4
4
3
4
3
4
4
4
3
4
4
3
3
3
3
3
4
4
4
4
4
3
3
4
4
3
4
4
3
3
3
3
3
3
4
3
3
3
3
3
3
4
4
3
4
3
3
3

result:

ok 100 numbers

Test #14:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

95
12 1 -16
0 15
0 -9 -5
0 -14
15 -2 7
-18 6
4 -14 -18
-2 15
-5 15 -13
-19 0
-3 6 -10
17 0
20 -16 20
-2 11
-17 -6 -15
-20 20
-5 -17 19
16 -19
5 18 18
20 8
-8 -7 -8
13 0
-14 2 5
-2 0
14 0 9
0 5
20 3 13
0 -7
-9 8 20
-18 18
7 19 12
20 -19
12 5 -8
-18 0
11 -6 -3
14 0
13 9 9
16 0
-19 -7 -11
10 12
-2 1 -1...

output:

4
3
4
4
3
4
4
4
4
4
4
4
4
4
4
4
4
3
3
4
4
4
4
4
4
4
4
4
3
3
4
4
3
4
4
4
4
4
3
3
4
4
3
4
4
4
4
4
4
4
4
4
4
4
2
4
4
3
4
4
4
3
3
3
4
4
4
4
4
4
4
4
3
4
4
4
4
3
3
4
4
4
4
4
4
3
4
3
3
4
4
3
4
4
4

result:

ok 95 numbers

Test #15:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

100
18 18 -7
-19 -18
16 0 -6
-17 18
-17 7 9
-16 -15
6 -19 4
-13 20
-20 -20 -20
-13 2
16 20 20
-3 -7
-19 19 -6
-18 17
15 -17 -7
-17 -16
-15 15 17
-14 -11
18 -8 0
16 -15
15 20 -20
-15 -12
-19 -20 20
6 -15
20 -19 -20
-10 -6
-20 17 20
14 -10
-20 20 20
10 -16
20 -20 -19
5 8
-16 -20 20
-6 -14
20 20 -20
13...

output:

4
3
3
3
4
3
3
3
3
3
4
3
3
4
3
3
3
3
4
4
3
4
3
3
3
3
3
4
3
4
4
3
4
3
4
4
3
4
4
3
3
4
3
3
3
4
4
4
4
3
3
4
3
4
3
3
4
3
4
4
3
3
4
4
4
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
4
3
4
4
4
3
3
4
3
3
4
3
3
4
3
3
4
3
3

result:

ok 100 numbers

Test #16:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

100
17 19 -19
-6 20
-5 -14 14
-15 -15
19 16 -20
-14 -19
-20 -15 16
-19 -19
-2 -17 4
15 -19
-6 -10 -11
6 -12
15 -14 -17
12 9
-10 12 3
-17 -19
-7 20 -8
5 11
1 -14 16
20 10
16 -14 -12
-16 -20
-15 1 1
-18 -8
-17 -1 -6
18 0
2 -17 -2
17 15
1 -20 -16
-16 0
-8 19 18
10 -10
14 19 -20
-2 16
-20 -13 16
-9 4
-1...

output:

4
4
4
3
4
4
4
4
3
4
4
3
3
3
4
4
4
4
4
3
3
3
4
3
3
3
4
4
4
4
4
3
3
4
3
3
3
4
4
4
4
3
4
2
4
4
3
4
4
3
4
4
3
4
3
3
4
3
3
4
3
3
4
4
3
4
3
3
4
3
3
4
3
4
4
4
3
4
4
4
4
3
4
4
3
4
4
3
3
3
3
3
3
4
3
3
4
4
4
4

result:

ok 100 numbers

Test #17:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

2
-1 -1 3
1 1
2 2 3
2 2
5 5 1
3 0
7 6 -2
1 -2

output:

4
3

result:

ok 2 number(s): "4 3"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

100
-7 20 16
-9 16
20 -5 -13
-16 -14
-14 -4 17
9 11
-1 14 -7
-4 -7
8 -3 -3
-13 -2
-17 -8 -1
15 1
-11 3 -20
0 -10
0 -19 13
19 4
4 17 1
-5 9
4 -19 1
18 -13
-19 5 -19
15 -10
-8 -20 19
9 18
20 13 20
4 -18
-20 -8 -18
-16 -19
20 -19 -9
-10 17
-13 3 5
7 -20
7 13 -13
-3 -6
-9 -15 17
9 -18
2 14 -19
-12 6
18 ...

output:

3
4
4
3
4
3
4
4
4
3
4
3
4
4
3
3
3
3
4
4
4
3
4
3
3
4
4
3
4
4
4
4
4
4
3
4
4
4
4
3
4
4
4
4
4
4
4
3
3
4
3
4
4
3
4
3
4
3
3
4
4
3
3
3
3
4
4
3
4
3
4
3
4
4
3
4
4
4
3
4
4
4
4
4
4
4
4
3
4
3
4
4
4
3
4
3
4
4
4
3

result:

ok 100 numbers

Test #19:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

100
4 16 -20
-11 -1
14 -20 19
5 18
-18 11 7
2 -19
-14 -10 -13
1 8
-8 -12 11
8 -17
12 17 6
-20 8
-7 2 13
12 0
-13 2 -13
-9 17
-19 19 12
6 17
0 -19 -11
15 -16
19 -17 19
-11 3
-20 2 -20
7 17
8 -13 15
-2 15
-18 0 2
-4 16
-1 -19 -1
15 -17
-15 -18 5
3 10
3 7 -15
-1 -19
-6 -13 -17
2 -10
1 -17 16
-17 -10
-1...

output:

3
4
3
3
4
3
4
3
4
3
4
4
4
4
4
4
4
4
4
4
4
4
3
4
4
4
4
4
3
3
4
3
3
4
3
4
4
4
4
4
3
4
3
4
3
4
4
4
4
4
4
4
3
4
4
4
3
4
4
4
3
3
4
4
4
3
3
4
4
4
4
3
4
4
4
4
3
4
4
3
4
3
4
4
3
4
4
4
4
4
3
4
4
4
4
4
4
4
3
3

result:

ok 100 numbers

Test #20:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

100
15 -15 17
-12 17
19 19 -17
-12 -17
-16 -3 7
13 -16
20 8 -3
-15 -11
8 11 7
20 19
14 11 5
19 -18
7 19 11
17 -11
0 8 13
1 -12
-20 -20 2
16 2
20 20 2
-2 16
-7 -11 -6
19 -20
-9 11 15
-7 -13
19 8 -7
-12 -1
8 15 -9
11 17
9 -16 20
16 -15
17 -11 15
8 5
-19 1 -18
-11 19
3 16 -5
7 17
20 -20 17
-16 -6
-20 2...

output:

4
4
3
4
3
3
4
4
4
3
3
4
4
3
4
4
4
3
3
4
4
4
4
3
3
4
3
3
4
4
4
3
3
3
3
3
3
3
3
3
4
3
3
3
4
3
3
3
3
3
3
3
3
4
4
3
4
3
3
3
4
3
3
4
3
3
3
3
4
3
4
3
3
3
3
3
3
4
3
3
3
3
3
3
3
3
4
4
3
4
4
3
3
4
4
3
3
3
3
3

result:

ok 100 numbers

Test #21:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

100
19 15 -13
-6 -14
8 8 17
7 -3
12 20 -16
0 -18
2 11 17
-20 0
12 -20 -2
11 2
-13 6 1
-18 -7
-13 11 18
-3 -19
-15 -1 -17
5 13
14 -14 -14
-4 20
-1 11 -5
7 -12
14 19 -11
16 9
-10 -13 16
4 18
20 19 0
-5 1
-7 -17 1
-12 -4
13 -9 20
-16 17
-20 12 -5
5 9
19 6 -18
-12 12
-11 -12 12
-2 -18
17 4 -18
-7 4
17 4...

output:

3
3
4
4
4
4
4
3
3
2
4
4
3
4
4
3
4
3
3
4
4
3
4
3
3
4
4
4
3
3
3
4
3
3
4
4
3
4
4
3
4
3
4
3
4
4
4
4
3
4
3
4
4
4
3
3
3
4
3
3
4
4
3
4
3
4
4
3
4
4
4
4
3
3
4
3
4
3
3
3
4
4
4
3
3
3
4
4
3
3
3
4
4
4
4
4
3
4
3
4

result:

ok 100 numbers

Test #22:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

100
20 -13 14
3 20
-16 12 -16
17 -11
20 -14 -2
10 14
-19 -6 -4
18 16
2 -14 2
8 19
7 19 -16
-11 17
17 -8 17
-10 -18
-9 -11 -19
-12 4
9 -18 -9
-11 16
-15 -16 0
-19 10
20 -8 -16
3 -13
-20 13 13
12 -20
-12 20 -2
16 11
16 -14 -12
1 5
-8 -17 3
-16 -10
8 2 -20
2 -18
-14 -19 8
-20 13
-17 16 -19
10 4
12 -10 ...

output:

4
4
4
3
4
4
3
4
3
4
3
4
4
3
3
4
3
3
4
4
3
3
4
3
4
3
4
3
3
4
3
3
3
4
4
4
3
4
4
3
3
4
4
3
3
4
4
4
3
3
3
4
4
4
4
4
3
3
4
4
4
4
3
4
4
4
4
4
4
4
3
4
3
4
4
4
4
3
4
3
3
4
3
4
3
3
4
4
3
4
4
4
3
4
4
3
4
3
3
4

result:

ok 100 numbers

Test #23:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

100
13 -13 -18
-17 9
-3 2 14
12 18
10 3 -19
-13 16
19 -10 9
-2 7
-17 8 -14
-16 1
-1 10 17
-5 -15
-1 -13 3
12 0
-12 15 -14
-7 16
-2 0 -2
-13 11
8 -14 20
15 2
15 5 -4
7 -11
4 14 14
-18 -3
-15 -10 20
11 6
-10 3 -20
-18 15
-14 14 -4
4 13
2 2 -16
15 1
1 20 19
3 7
6 -16 -20
-10 2
-1 -20 -14
-14 -19
1 11 2...

output:

3
4
3
4
4
3
3
3
3
3
3
4
3
2
4
3
3
4
4
4
4
3
4
4
3
4
4
4
4
4
4
4
4
4
4
3
4
4
4
3
4
4
4
3
4
3
4
3
4
3
4
3
3
3
3
3
3
3
4
4
4
4
3
4
4
4
4
3
3
3
3
3
4
4
4
3
3
4
3
4
3
3
4
4
4
4
3
4
3
3
4
3
4
3
4
3
4
4
3
4

result:

ok 100 numbers

Test #24:

score: 0
Accepted
time: 0ms
memory: 3516kb

input:

100
-4 18 5
14 14
17 0 13
19 -3
19 16 16
18 -16
-20 -13 -14
-13 -16
-5 2 -10
12 -6
-10 7 9
-19 -2
19 -20 8
-20 -9
-16 -4 -6
-8 0
13 -19 -16
19 9
0 19 -15
-9 12
-14 14 6
-15 17
-8 -19 -1
1 17
10 -11 -17
14 16
3 -15 12
18 -2
4 -12 -5
-18 12
-19 3 13
-9 18
2 19 -16
-18 10
20 -19 20
17 -9
18 13 -19
12 -...

output:

4
3
3
4
3
4
3
4
4
4
4
4
4
3
4
3
3
4
3
3
3
4
4
3
4
4
4
4
4
3
4
3
4
3
3
4
4
4
4
3
3
3
3
4
4
4
3
3
3
4
3
4
3
4
4
3
4
4
4
4
3
3
3
4
4
4
4
3
3
3
3
4
3
4
4
3
4
3
4
4
3
4
4
3
4
4
3
4
4
4
3
4
4
3
4
4
3
3
3
4

result:

ok 100 numbers

Extra Test:

score: 0
Extra Test Passed