QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#487613#4368. OilxhytomWA 435ms3820kbC++2315.2kb2024-07-23 01:50:152024-07-23 01:50:16

Judging History

你现在查看的是最新测评结果

  • [2024-07-23 01:50:16]
  • 评测
  • 测评结果:WA
  • 用时:435ms
  • 内存:3820kb
  • [2024-07-23 01:50:15]
  • 提交

answer

/*
 
_/      _/    _/      _/    _/      _/   _/_/_/_/_/     _/_/       _/      _/ 
 _/    _/     _/      _/     _/    _/        _/       _/    _/     _/      _/            
  _/  _/      _/      _/      _/  _/         _/      _/      _/    _/_/  _/_/         
   _/_/       _/_/_/_/_/        _/           _/      _/      _/    _/  _/  _/          
  _/  _/      _/      _/        _/           _/      _/      _/    _/      _/          
 _/    _/     _/      _/        _/           _/       _/    _/     _/      _/          
_/      _/    _/      _/        _/           _/         _/_/       _/      _/       
 
*/
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
using i64 = long long;
#define rep(i,a,n) for(int i=a;i<n;i++)
#define per(i,a,n) for(int i=n-1;i>=a;i--)
#define fastio ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define multi int _;cin>>_;while(_--)
#define debug(x) cerr << #x << " = " << (x) << endl;
#define int long long
#define pb push_back
#define eb emplace_back
ll gcd(ll a,ll b){ return b?gcd(b,a%b):a;}
mt19937_64 mrand(chrono::steady_clock().now().time_since_epoch().count());
int rnd(int l,int r){ return mrand() % (r - l + 1) + l;}
void test() {cerr << "\n";}
template<typename T, typename... Args> 
void test(T x, Args... args) {cerr << x << " ";test(args...);}
const ll MOD = 998244353;
// const ll MOD = 1e9+7;
ll ksm(ll x,ll y){ll ans=1;x%=MOD;while(y){if(y&1)ans=ans*x%MOD;x=x*x%MOD,y/=2;}return ans;}

const ll P1 = 999971, base1 = 101;
const ll P2 = 999973, base2 = 103;
const ll N = 200005;
//head

using f32 = float;
using f64 = double;
using f128 = long double;
using a64 = double;
using a128 = long double;
using arc = double;

#define Vector Point
#define sp(x) cout << fixed << setprecision(x)

const f64 PI = acos(-1);
const f64 EPS = 1e-7;
const f64 INF = numeric_limits<f64>::max();

f64 fgcd(f64 a, f64 b) {
    return fabs(a) < EPS ? fabs(a) : fgcd(b, fmod(a, b));
}

template<class T, class S>
bool equal(T a, S b) {
    return -EPS < a - b && a - b < EPS;
}

template<class T>
int sign(T a) {
    if(-EPS < a && a < EPS) {
        return 0;
    }
    return a < 0 ? -1 : 1;
}

template<class T>
struct Point {
    T x, y;
    Point(T x_ = 0, T y_ = 0) : x(x_), y(y_) {}
    template<class U> operator Point<U>() {
        return Point<U> (U(x), U(y));
    }
    
    Point &operator += (Point p) & {return x += p.x, y += p.y, *this;}
    Point &operator += (T t) & {return x += t, y += t, *this;}
    Point &operator -= (Point p) & {return x -= p.x, y -= p.y, *this;}
    Point &operator -= (T t) & {return x -= t, y -= t, *this;}
    Point &operator *= (Point p) & {return x *= p.x, y *= p.y, *this;}
    Point &operator *= (T t) & {return x *= t, y *= t, *this;}
    Point &operator /= (T t) & {return x /= t, y /= t, *this;}
    Point operator - () const {return Point(-x, -y);}
    friend Point operator + (Point a, Point b) {return a += b;}
    friend Point operator + (Point a, T b) {return a += b;}
    friend Point operator - (Point a, Point b) {return a -= b;}
    friend Point operator - (Point a, T b) {return a -= b;}
    friend Point operator * (Point a, T b) {return a *= b;}
    friend Point operator * (T a, Point b) {return b *= a;}
    friend Point operator / (Point a, T b) {return a /= b;}
    friend T operator * (Point a, Point b) {return a.x * b.x + a.y * b.y;}
    friend T operator ^ (Point a, Point b) {return a.x * b.y - a.y * b.x;};
    
    friend bool operator < (Point a, Point b) {
        return equal(a.x, b.x) ? a.y < b.y - EPS : a.x < b.x - EPS;
    }
    friend bool operator > (Point a, Point b) {return b < a;}
    friend bool operator == (Point a, Point b) {return !(a < b) && !(b < a);}
    friend bool operator != (Point a, Point b) {return a < b || b < a;}
    
    friend auto &operator>>(istream &is, Point &p) {
        return is >> p.x >> p.y;
    }
    
    friend auto &operator<<(ostream &os, Point p) {
        return os << "(" << p.x << ", " << p.y << ")";
    }
};


template<class T>
struct Line {
    Point<T> a, b;
    Line(Point<T> a_ = Point<T>(), Point<T> b_ = Point<T>()) : a(a_), b(b_) {}
    template<class U> operator Line<U>() {
        return Line<U>(Point<U>(a), Point<U>(b));
    }
    friend auto &operator << (ostream& os, Line l) {
        return os << "<" << l.a << ", " << l.b << ">";
    }
};

template<class T>
a128 atan(Point<T> p) { // 从 $x$ 负半轴逆时针排序 即 3 -> 4 -> 1 -> 2 左开右闭
    auto [x, y] = p;
    if(sign(x) < 0 && sign(y) == 0) {
        return 2 * PI;
    }
    if(sign(x) < 0 && sign(y) < 0) {
        return - atan2l(x, y) - PI / 2;
    }
    if(sign(x) == 0 && sign(y) < 0) {
        return PI / 2;
    }
    if(sign(x) > 0 && sign(y) < 0) {
        return PI * 3 / 2 - atan2l(x, y);
    }
    if(sign(x) >= 0 && sign(y) == 0) {
        return PI;
    }
    if(sign(x) > 0 && sign(y) > 0) {
        return PI * 3 / 2 - atan2l(x, y);
    }
    if(sign(x) == 0 && sign(y) > 0) {
        return 3 * PI / 2;
    }
    if(sign(x) < 0 && sign(y) > 0) {
        return 3 * PI / 2 - atan2l(x, y);
    }
    return 1e18;
}

template<class T>
a128 atanFromPosiX(Point<T> p) { // 从 $x$ 正半轴顺时针排序 即 4 -> 3 -> 2 -> 1 左开右闭
    auto [x, y] = p;
    if(sign(x) > 0 && sign(y) == 0) {
        return 0;
    }
    if(sign(x) > 0 && sign(y) < 0) {
        return atan2l(x, y) - PI / 2;
    }
    if(sign(x) == 0 && sign(y) < 0) {
        return PI / 2;
    }
    if(sign(x) < 0 && sign(y) < 0) {
        return PI * 3 / 2 - atan2l(x, y);
    }
    if(sign(x) < 0 && sign(y) == 0) {
        return PI;
    }
    if(sign(x) < 0 && sign(y) > 0) {
        return PI * 3 / 2 - atan2l(x, y);
    }
    if(sign(x) == 0 && sign(y) > 0) {
        return 3 * PI / 2;
    }
    if(sign(x) > 0 && sign(y) > 0) {
        return 3 * PI / 2 + atan2l(x, y);
    }
    return 1e18;
}

template<class T>
vector<Point<T>> sortByArgument(vector<Point<T>> vec) {
    sort(vec.begin() + 1, vec.end(), [&](Point<T> a, Point<T> b) {
        return atan(a) < atan(b);
    });
    return vec;
}


template<class T> 
T cross(Point<T> a, Point<T> b) {
    return a ^ b;
}

template<class T> 
T cross(Point<T> p1, Point<T> p2, Point<T> p0) { // p0 -> p1, p0 -> p2
    return (p1 - p0) ^ (p2 - p0);
}

template<class T> 
T dot(Point<T> a, Point<T> b) {
    return a * b;
}

template<class T> 
T dot(Point<T> p1, Point<T> p2, Point<T> p0) { // p0 -> p1, p0 -> p2
    return (p1 - p0) * (p2 - p0);
}

template <class T> 
T dis2(T x1, T y1, T x2, T y2) {
    return (x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2);
}

template <class T> 
T dis2(Point<T> a, Point<T> b) {
    return dis2(a.x, a.y, b.x, b.y);
}

template <class T> 
f64 dis(T x1, T y1, T x2, T y2) {
    return sqrt(dis2(x1, y1, x2, y2));
}

template <class T> 
f64 dis(Point<T> a, Point<T> b) {
    return dis(a.x, a.y, b.x, b.y);
}

template<class T>
f64 length(Vector<T> v) {
    return sqrt(v.x * v.x + v.y * v.y);
}

Vector<f64> standardize(Vector<f64> v) {
    return v / length(v);
}

f64 toDeg(a64 x) { // 弧度转角度
    return x * 180 / PI;
}

a64 toArc(f64 x) { // 角度转弧度
    return PI / 180 * x;
}

a64 getArc(f64 a, f64 b, f64 c) {
    return acos((a * a + b * b - c * c) / (2.0 * a * b));   
}

f64 getDeg(f64 a, f64 b, f64 c) {
    return toDeg(getArc(a, b, c));  
}

template<class T>
a64 getArc(Point<T> a, Point<T> b) {
    return fabs(atan2(abs(a ^ b), a * b));
}

template<class T>
f64 getDeg(Point<T> a, Point<T> b) {
    return toDeg(getArc(a, b));
}

Point<f64> rotate(Point<f64> p, a64 rad) {
    return {p.x * cos(rad) - p.y * sin(rad), p.x * sin(rad) + p.y * cos(rad)};
}

template<class T> Point<T> rotate(Point<T> p, Point<T> base) { // p 绕 base 逆时针 90
    Vector<T> vec = p - base;
    return Point(-vec.y, vec.x);
}

Point<f64> rotate(Point<f64> p, Point<f64> base, a64 rad) {
    f64 x = (p.x - base.x) * cos(rad) + (p.y - base.y) * sin(rad) + base.x;
    f64 y = (base.x - p.x) * sin(rad) + (p.y - base.y) * cos(rad) + base.y;
    return {x, y};
}

template<class T> 
bool onLine(Point<T> a, Point<T> b, Point<T> c) {
    return sign(cross(b, a, c)) == 0;
}

template<class T> 
bool onLine(Point<T> p, Line<T> l) {
    return onLine(p, l.a, l.b);
}

template<class T> 
bool pointOnLineLeft(Point<T> p, Line<T> l) {
    return cross(l.b, p, l.a) > 0;
}

template<class T> 
bool pointOnLineSide(Point<T> p1, Point<T> p2, Line<T> vec) {
    T val = cross(p1, vec.a, vec.b) * cross(p2, vec.a, vec.b);
    return sign(val) == 1;
}

template<class T> 
bool pointNotOnLineSide(Point<T> p1, Point<T> p2, Line<T> vec) {
    T val = cross(p1, vec.a, vec.b) * cross(p2, vec.a, vec.b);
    return sign(val) == -1;
}

Point<f64> lineIntersection(Line<f64> l1, Line<f64> l2) {
    return l1.a + cross(l2.b, l1.a, l2.a) / cross(l2.b - l2.a, l1.a - l1.b) * (l1.b - l1.a);
}

template<class T> 
bool lineParallel(Line<T> p1, Line<T> p2) {
    return sign(cross(p1.a - p1.b, p2.a - p2.b)) == 0;
}
template<class T> 
bool lineVertical(Line<T> p1, Line<T> p2) {
    return sign(dot(p1.a - p1.b, p2.a - p2.b)) == 0;
}
template<class T> 
bool lineSame(Line<T> l1, Line<T> l2) {
    return lineParallel(Line{l1.a, l2.b}, {l1.b, l2.a}) &&
           lineParallel(Line{l1.a, l2.a}, {l1.b, l2.b}) && lineParallel(l1, l2);
}

f64 disToLine(Point<f64> p, Line<f64> l) {
    Point<f64> ans = lineIntersection({p, p + rotate(l.a, l.b)}, l);
    return dis(p, ans);
}

f64 dis2ToLine(Point<f64> p, Line<f64> l) {
    Point<f64> ans = lineIntersection({p, p + rotate(l.a, l.b)}, l);
    return dis2(p, ans);
}

template<class T>
Point<f64> nearestToLine(Point<T> p, Line<T> l) {
    Point<f64> ans = lineIntersection({p, p + rotate(l.a, l.b)}, l);
    return ans;
}

template<class T>
bool pointOnSegment(Point<T> p, Line<T> l) {
    return sign(cross(p, l.a, l.b)) == 0 && min(l.a.x, l.b.x) <= p.x && p.x <= max(l.a.x, l.b.x) &&
           min(l.a.y, l.b.y) <= p.y && p.y <= max(l.a.y, l.b.y);
}
template<class T> 
bool pointOnSegmentNonStrict(Point<T> p, Line<T> l) {
    return pointOnSegment(p, l) && min(l.a.x, l.b.x) < p.x && p.x < max(l.a.x, l.b.x) &&
           min(l.a.y, l.b.y) < p.y && p.y < max(l.a.y, l.b.y);
}

Point<f64> nearestToSegment(Point<f64> p, Line<f64> l) {
    if (sign(dot(p, l.b, l.a)) == -1) { // 特判到两端点的距离
        return l.a;
    } else if (sign(dot(p, l.a, l.b)) == -1) {
        return l.b;
    }
    return nearestToLine(p, l);
}

f64 disToSegment(Point<f64> p, Line<f64> l) {
    if (sign(dot(p, l.b, l.a)) == -1) { // 特判到两端点的距离
        return dis(p, l.a);
    } else if (sign(dot(p, l.a, l.b)) == -1) {
        return dis(p, l.b);
    }
    return disToLine(p, l);
}

Point<f64> project(Point<f64> p, Line<f64> l) { // 点在直线投影
    Vector<f64> v = l.b - l.a;
    f64 r = dot(v, p - l.a) / length(v);
    return l.a + v * r;
}

template<class T> 
Line<T> midSegment(Line<T> l) {
    Point<T> mid = (l.a + l.b) / 2;
    return {mid, mid + rotate(l.a, l.b)};
}

template<class T> 
tuple<int, Point<T>, Point<T>> segmentIntersection(Line<T> l1, Line<T> l2) {
    auto [s1, e1] = l1;
    auto [s2, e2] = l2;
    auto A = max(s1.x, e1.x), AA = min(s1.x, e1.x);
    auto B = max(s1.y, e1.y), BB = min(s1.y, e1.y);
    auto C = max(s2.x, e2.x), CC = min(s2.x, e2.x);
    auto D = max(s2.y, e2.y), DD = min(s2.y, e2.y);
    if (A < CC || C < AA || B < DD || D < BB) {
        return {0, {}, {}};
    }
    if (sign(cross(e1 - s1, e2 - s2)) == 0) { // parallel
        if (sign(cross(s2, e1, s1)) != 0) {
            return {0, {}, {}};
        }
        Point<T> p1(max(AA, CC), max(BB, DD));
        Point<T> p2(min(A, C), min(B, D));
        if (!pointOnSegment(p1, l1)) {
            swap(p1.y, p2.y);
        }
        if (p1 == p2) {
            return {3, p1, p2};
        } else {
            return {2, p1, p2};
        }
    } 
    auto cp1 = cross(s2 - s1, e2 - s1);
    auto cp2 = cross(s2 - e1, e2 - e1);
    auto cp3 = cross(s1 - s2, e1 - s2);
    auto cp4 = cross(s1 - e2, e1 - e2);
    if (sign(cp1 * cp2) == 1 || sign(cp3 * cp4) == 1) {
        return {0, {}, {}};
    }
    // 使用下方函数时请使用浮点数
    Point<f64> p = lineIntersection(l1, l2);
    if (sign(cp1) != 0 && sign(cp2) != 0 && sign(cp3) != 0 && sign(cp4) != 0) {
        return {1, p, p};
    } else {
        return {3, p, p};
    }
}

template<class T>
struct Circle {
    Point<T> o;
    T r;
    
    Circle(Point<T> o_ = Point<T>(), T r_ = 0) : o(o_), r(r_) {}
    template<class U> operator Circle<U>() {
        return Circle<U> (Point<U>(o), U(r));
    }   
};

pair<Point<f64>, f64> pointToCircle(Point<f64> p, Circle<f64> c) {
    Point<f64> U = c.o, V = c.o;
    f64 d = dis(p, c.o);
    if(sign(d) == 0) {
        return {c.o, 0.};
    }
    Vector<f64> v = standardize(p - c.o);
    U += v * c.r, V -= v * c.r;
    if(sign(dis(c.o, U) - dis(c.o, V)) == 1) {
        return {V, dis(c.o, V)};
    } else {
        return {U, dis(c.o, U)};
    }
}

Point<f64> radToPoint(Circle<f64> c, a64 rad) {
    Vector<f64> v = {c.r, 0};
    return c.o + rotate(v, rad);
}

tuple<int, Point<f64>, Point<f64>> circleIntersection(Circle<f64> c1, Circle<f64> c2) {
    f64 d = dis(c1.o, c2.o);
    if(sign(c1.r - c2.r) == 1) {
        swap(c1, c2);
    }
    if(sign(d - c1.r - c2.r) == 0) {
        return {1, c1.r + standardize(c2.o - c1.o) * c1.r, c1.r + standardize(c2.o - c1.o) * c1.r};
    } else if(sign(d - c1.r - c2.r) == 1) {
        return {0, {}, {}};
    } else if(sign(d + c1.r - c2.r) == -1) {
        return {0, {}, {}};
    } 
    Vector<f64> v = c2.o - c1.o;
    a64 init = atanFromPosiX(v);
    a64 arc = getArc(c1.r, d, c2.r);
    return {2, c1.o + rotate(Vector(c1.r, 0.), arc + init), c1.o + rotate(Vector(c1.r, 0.), init - arc)};
}

using P = Point<int>;

signed main()
{  
#ifdef localfreopen
    // freopen("1.in","r",stdin);
#endif
    fastio
    int n;
    std::cin >> n;
    std::vector<int> X1(n), X2(n), Y(n);
    std::vector<std::pair<P, int> > q;
    for (int i = 0; i < n; i++) {
        std::cin >> X1[i] >> X2[i] >> Y[i];
        if (X1[i] > X2[i]) {
            std::swap(X1[i], X2[i]);
        }
        q.push_back({P(X1[i], Y[i]), i});
        q.push_back({P(X2[i], Y[i]), i});
    }

    int ans = 0;
    for (auto [p, idx] : q) {

        int sum = X2[idx] - X1[idx];
        ans = std::max(ans, sum);
        std::vector<int> exist(n);
        std::vector<std::pair<double, int>> q;
        for (int i = 0; i < n; i++) {
            if (Y[i] != p.y) {
                q.push_back({atan(P(X1[i] - p.x, Y[i] - p.y)) - EPS, i});
                q.push_back({atan(P(X2[i] - p.x, Y[i] - p.y)) + EPS, i});
            }
        }
        std::sort(q.begin(), q.end());
        for (auto [x, y] : q) {
            if (Y[y] > p.y) break;
            sum += (exist[y] ? -(X2[y] - X1[y]) : (X2[y] - X1[y]));
            exist[y] ^= 1;
            ans = std::max(ans, sum);
        }
    }
    std::cout << ans << "\n";


    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3536kb

input:

5
100 180 20
30 60 30
70 110 40
10 40 50
0 80 70

output:

200

result:

ok single line: '200'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3760kb

input:

3
50 60 10
-42 -42 20
25 0 10

output:

25

result:

ok single line: '25'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3744kb

input:

1
-100 180 20

output:

280

result:

ok single line: '280'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3744kb

input:

1
-1000000 1000000 1

output:

2000000

result:

ok single line: '2000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

1
-1000000 1000000 1000000

output:

2000000

result:

ok single line: '2000000'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

1
-1000000 -999999 1000000

output:

1

result:

ok single line: '1'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

1
1000000 999999 1000000

output:

1

result:

ok single line: '1'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

2
-1000 0 200
1 1000 200

output:

1000

result:

ok single line: '1000'

Test #9:

score: -100
Wrong Answer
time: 435ms
memory: 3820kb

input:

1000
737368 429284 959063
-548693 513523 43074
243164 -465669 860567
422975 -244747 588631
-136535 -470055 501433
-580596 -269833 22422
476738 -448258 866889
358773 563858 950905
-923261 208187 66835
-295330 444422 360513
-903435 841952 491761
377801 520064 65247
479135 -307498 426574
-794533 -46924...

output:

485296669

result:

wrong answer 1st lines differ - expected: '490622362', found: '485296669'