QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#354275#7862. Land Tradeucup-team1198#AC ✓161ms104128kbC++208.4kb2024-03-15 02:19:252024-03-15 02:19:26

Judging History

你现在查看的是最新测评结果

  • [2024-03-15 02:19:26]
  • 评测
  • 测评结果:AC
  • 用时:161ms
  • 内存:104128kb
  • [2024-03-15 02:19:25]
  • 提交

answer

#include <map>
#include <set>
#include <array>
#include <cmath>
#include <deque>
#include <bitset>
#include <random>
#include <string>
#include <vector>
#include <cassert>
#include <complex>
#include <iomanip>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>

using namespace std;

using ld = long double;

struct Vector {
    ld x;
    ld y;

    Vector(ld x = 0, ld y = 0): x(x), y(y) {}
    Vector(const Vector& u, const Vector& v): x(v.x - u.x), y(v.y - u.y) {}
};

const ld EPS = 1e-13;

struct Line {
    ld a;
    ld b;
    ld c;

    Line(ld a = 0, ld b = 0, ld c = 0): a(a), b(b), c(c) {}

    bool check(const Vector& v) const {
        return v.x * a + v.y * b + c >= -EPS;
    }
};

const int MAXN = 310;
Line ln[MAXN];
int id_l = 0;

const int MAXT = 1e4 + 100;
int tp[MAXT];
vector<int> ch[MAXT];
int id_tp = 0;

int nn() {
    return id_tp++;
}

int read_int(const string& s, int& l) {
    int res = 0;
    bool neg = false;
    if (s[l] == '-') {
        neg = true;
        ++l;
    }
    while (s[l] >= '0' && s[l] <= '9') {
        res = res * 10 + s[l] - '0';
        ++l;
    }
    if (neg) res = -res;
    return res;
}

set<char> op = {'&', '|', '^', '!'}; 
string str = "&|^!";

int get_tp(char ch) {
    for (int i = 0; i < (int)str.size(); ++i) {
        if (str[i] == ch) return -1 - i;
    }
    return 0;
}

int build(const string& s, int l, int r) {
    int v = nn();
    if (s[l] == '[') {
        ++l;
        ln[id_l].a = read_int(s, l);
        ++l;
        ln[id_l].b = read_int(s, l);
        ++l;
        ln[id_l].c = read_int(s, l);
        tp[v] = id_l++;
        return v;
    }
    int bal = 0;
    int ind = -1;
    for (int i = l + 1; i < r; ++i) {
        if (s[i] == '(') {
            ++bal;
        } else if (s[i] == ')') {
            --bal;
        } else if (bal == 0 && get_tp(s[i]) < 0) {
            ind = i;
            break;
        }
    }
    tp[v] = get_tp(s[ind]);
    if (ind != l + 1) {
        ch[v].push_back(build(s, l + 1, ind));
    }
    ch[v].push_back(build(s, ind + 1, r - 1));
    /// if (rand() % 2 == 0) swap(ch[v][0], ch.back());
    return v;
}

bool eval(int v, const Vector& a) {
    if (tp[v] >= 0) {
        return ln[tp[v]].check(a);
    }
    if (tp[v] == -4) {
        return !eval(ch[v][0], a);
    } else if (tp[v] == -1) {
        return eval(ch[v][0], a) && eval(ch[v][1], a);
    } else if (tp[v] == -2) {
        return eval(ch[v][0], a) || eval(ch[v][1], a);
    } else {
        return eval(ch[v][0], a) ^ eval(ch[v][1], a);
    }
}

Vector inter(const Line& l1, const Line& l2) {
    ld denom = l1.a * l2.b - l1.b * l2.a;
    return {(-l1.c * l2.b + l1.b * l2.c) / denom
          , (-l1.a * l2.c + l1.c * l2.a) / denom};
}

int inter_id[MAXN][MAXN];
Vector pts[MAXN * MAXN];
vector<int> online[MAXN];

struct HalfEdge {
    Vector dir;
    int to;
    int used;

    HalfEdge(Vector dir = Vector(), int to = -1): dir(dir), to(to), used(0) {}
};

const int MAXE = 2e6;
HalfEdge he[MAXE];
int id_he = 0;

vector<int> g[MAXN * MAXN];

ld operator*(const Vector& a, const Vector& b) {
    return a.x * b.x + a.y * b.y;
}

ld operator%(const Vector& a, const Vector& b) {
    return a.x * b.y - a.y * b.x;
}

Vector operator-(const Vector& a) {
    return {-a.x, -a.y};
}

bool hp(const Vector& v) {
    if (v.y == 0) return v.x > 0;
    return v.y > 0;
}

bool cmpv(const Vector& u, const Vector& v) {
    if (hp(u) != hp(v)) return hp(u);
    return u % v > 0;
}

bool cmp(int i, int j) {
    return cmpv(he[i].dir, he[j].dir);
}

int nxt(int i) {
    int v = he[i].to;
    Vector dir = -he[i].dir;
    HalfEdge tmp(dir, -1);
    he[id_he] = tmp;
    int res = upper_bound(g[v].begin(), g[v].end(), id_he, cmp) - g[v].begin();
    if (res == (int)g[v].size()) res = 0;
    return g[v][res];
}

ostream& operator<<(ostream& out, const Vector& v) {
    out << v.x << " " << v.y;
    return out;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);

    cout << fixed << setprecision(20);

    int xmn, xmx, ymn, ymx;
    cin >> xmn >> xmx >> ymn >> ymx;

    ln[id_l++] = {1, 0, -xmn};
    ln[id_l++] = {-1, 0, xmx};
    ln[id_l++] = {0, 1, -ymn};
    ln[id_l++] = {0, -1, ymx};

    string s;
    cin >> s;
    int root = build(s, 0, s.size());

    int n = id_l;
    /**for (int i = 0; i < n; ++i) {
        cerr << ln[i].a << " " << ln[i].b << " " << ln[i].c << endl;
    }*/
    for (int i = 0; i < n; ++i) {
        for (int j = 0; j < n; ++j) {
            inter_id[i][j] = -1;
        }
    }
    int id_point = 0;
    for (int i = 0; i < n; ++i) {
        for (int j = 0; j < i; ++j) {
            if (abs(ln[i].a * ln[j].b - ln[i].b * ln[j].a) < 0.5) {
                inter_id[i][j] = inter_id[j][i] = -1;
                continue;
            }
            Vector p = inter(ln[i], ln[j]);
            bool good = true;
            for (int i = 0; i < 4; ++i) {
                good &= ln[i].check(p);
            }
            /// cerr << i << " " << j << ": " << p << endl;
            if (!good) {
                inter_id[i][j] = inter_id[j][i] = -1;
                continue;
            }
            int ind = -1;
            for (int k = 0; k < i; ++k) {
                if (inter_id[k][j] != -1) {
                    Vector v = pts[inter_id[k][j]];
                    if (abs(v.x - p.x) < EPS && abs(v.y - p.y) < EPS) {
                        ind = inter_id[k][j];
                        break;
                    }
                }
            }
            if (ind == -1) {
                for (int k = 0; k < j; ++k) {
                    if (inter_id[k][i] != -1) {
                        Vector v = pts[inter_id[k][i]];
                        if (abs(v.x - p.x) < EPS && abs(v.y - p.y) < EPS) {
                            ind = inter_id[k][i];
                            break;
                        }
                    }
                }
                /// cerr << i << "-" << j << endl;
                if (ind == -1) {
                    ind = id_point++;
                }
            }
            /// cerr << i << " " << j << ": " << p << endl;
            pts[ind] = p;
            inter_id[i][j] = inter_id[j][i] = ind;
            online[i].push_back(ind);
            online[j].push_back(ind);
        }
    }
    int vert = id_point;

    for (int i = 0; i < n; ++i) {
        sort(online[i].begin(), online[i].end());
        online[i].resize(unique(online[i].begin(), online[i].end()) - online[i].begin());
        Vector dir = {-ln[i].b, ln[i].a};
        sort(online[i].begin(), online[i].end(), [&](int i, int j) { return pts[i] * dir < pts[j] * dir; });
        for (int j = 1; j < (int)online[i].size(); ++j) {
            int u = online[i][j], v = online[i][j - 1];
            /// cerr << u << " " << v << endl;
            he[id_he] = HalfEdge(dir, u);
            g[v].push_back(id_he++);
            he[id_he] = HalfEdge(-dir, v);
            g[u].push_back(id_he++);
        }
    }

    /// cerr << "points: ";
    /// cerr << vert << endl;
    for (int i = 0; i < vert; ++i) {
        sort(g[i].begin(), g[i].end(), cmp);
        /// cerr << pts[i] << endl;
    }


    /**for (int i : g[10]) {
        cerr << i << ": " << he[i].to << " " << he[i].dir << endl;
    }*/
    /// cerr << nxt(38) << endl;

    ld ans = 0;

    for (int i = 0; i < id_he; ++i) {
        if (he[i].used) continue;
        vector<Vector> face;
        int j = i;
        while (!he[j].used) {
            /// cerr << j << "; ";
            face.push_back(pts[he[j].to]);
            he[j].used = true;
            j = nxt(j);
        }
        /// cerr << endl;
        ld area = 0;
        for (int i = 0; i < face.size(); ++i) {
            area += (face[i] % face[(i + 1) % face.size()]);
            /// cout << face[i] << "; ";
        }
        /// cout << endl;
        /// cout << area << endl;
        if (area >= 0) continue;
        Vector s = Vector();
        for (int i = 0; i < face.size(); ++i) {
            s.x += face[i].x;
            s.y += face[i].y;
        }
        s.x /= face.size();
        s.y /= face.size();
        if (eval(root, s)) {
            ans -= area / 2;
        }
    }

    cout << ans << "\n";

    
    return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 100612kb

input:

0 1 0 1
([-1,1,0]^[-1,-1,1])

output:

0.50000000000000000000

result:

ok found '0.5000000', expected '0.5000000', error '0.0000000'

Test #2:

score: 0
Accepted
time: 19ms
memory: 100560kb

input:

-5 10 -10 5
((!([1,2,-3]&[10,3,-2]))^([-2,3,1]|[5,-2,7]))

output:

70.45169340463458110269

result:

ok found '70.4516934', expected '70.4516934', error '0.0000000'

Test #3:

score: 0
Accepted
time: 11ms
memory: 100676kb

input:

0 1 -1 1
([1,1,1]&[-1,-1,-1])

output:

0.00000000000000000000

result:

ok found '0.0000000', expected '0.0000000', error '-0.0000000'

Test #4:

score: 0
Accepted
time: 19ms
memory: 100628kb

input:

0 1000 0 1000
(([1,-1,0]&[-1000,999,999])&([1,0,-998]&[0,1,-998]))

output:

0.00050000000001659828

result:

ok found '0.0005000', expected '0.0005000', error '0.0000000'

Test #5:

score: 0
Accepted
time: 19ms
memory: 100872kb

input:

-725 165 643 735
((((!(([22,15,137]|(!([23,-5,-41]^(!([2,25,-515]&[-37,10,487])))))&(!(([25,24,47]^([-24,21,-114]^[19,-7,79]))^[4,20,241]))))^(!((!((!(([30,-1,474]^([14,17,155]^[-31,-6,-153]))|[-15,-15,108]))|(([-26,-11,421]&[-15,-3,-224])&[14,-3,458])))^[9,20,-404])))^(!((!((!(([14,-6,-464]^[-11,8,...

output:

47063.33485244147654924518

result:

ok found '47063.3348524', expected '47063.3348524', error '0.0000000'

Test #6:

score: 0
Accepted
time: 12ms
memory: 100976kb

input:

767 957 738 941
((!(((!([3,-3,507]^[-30,-10,425]))^[-6,7,643])^((!((!([-11,0,450]^[21,17,-65]))&(!([17,0,64]^[-11,0,804]))))|[-31,10,-687])))&((!(([-34,12,-527]^(!([17,-14,-219]^(!([13,-27,-105]^(!([18,-47,-110]&(!([-9,-20,-455]^[-18,26,-228])))))))))^([-4,0,144]^[10,1,396])))^((!((!([35,0,-221]&[-5...

output:

36999.05865566322222548479

result:

ok found '36999.0586557', expected '36999.0586557', error '0.0000000'

Test #7:

score: 0
Accepted
time: 113ms
memory: 103976kb

input:

-513 213 -733 114
(!((!((!((((!([2,16,-57]|[15,40,-272]))^((!(([0,26,315]|[5,-4,-336])^(!([-12,2,218]&([17,-16,-730]&[-7,3,-263])))))^[18,-7,29]))^[5,30,-126])^((!(((!((([8,9,406]^(!([-26,6,63]^[-38,-25,108])))^(([-9,20,220]^(!([-2,-27,213]^[29,16,-269])))|[-12,-4,-586]))^([30,0,-443]|(!((!([-17,0,3...

output:

295728.60810361067828466730

result:

ok found '295728.6081036', expected '295728.6081036', error '0.0000000'

Test #8:

score: 0
Accepted
time: 12ms
memory: 101320kb

input:

-517 -379 -789 477
(((!((!(([1,-12,191]^(!(((!([32,0,89]^[-35,6,33]))^[-3,6,-293])^[20,-39,77])))^(([16,15,-285]^[15,-7,430])^([20,3,-95]|(!((!(([-15,-27,339]^[-11,-13,221])^[33,28,596]))|([-17,21,402]^[22,16,90])))))))&(!((!((!([12,-1,-279]^[-30,-13,224]))^[-29,24,-33]))^([31,-19,288]^(!((!([-1,26,...

output:

107150.60487969717620870824

result:

ok found '107150.6048797', expected '107150.6048797', error '0.0000000'

Test #9:

score: 0
Accepted
time: 17ms
memory: 100800kb

input:

-477 275 -266 519
(!((!((!((!([-1,3,162]|[-32,16,269]))&(!(((((([-31,7,114]^([-12,7,-163]^[23,-10,159]))|(!(([0,-16,114]^[-33,15,-190])|(!([1,-22,308]^[-31,13,316])))))^((!([-12,29,-22]^(([23,15,-8]^[0,15,46])^[6,15,356])))^[22,13,-163]))^([18,17,487]^[28,23,143]))|(!(((!((!(([7,-45,-583]&([31,2,-22...

output:

335169.31051751586599607435

result:

ok found '335169.3105175', expected '335169.3105175', error '0.0000000'

Test #10:

score: 0
Accepted
time: 19ms
memory: 100708kb

input:

175 624 -835 683
(!(((!(([-32,30,-478]^[23,4,-120])^[28,33,413]))|(!((!((!((!([-15,-5,0]^(!((!(((!([0,-32,90]^[-9,-22,-7]))^[-10,-35,344])|(!([1,11,-235]|[-31,-6,-344]))))^(!((!([-15,0,-90]|[-17,-10,-153]))^[-1,6,-8]))))))^(!([8,-6,302]^[-2,4,91]))))|([13,28,-70]^[16,-11,-74])))^(((((!((!((([-5,8,45...

output:

411470.35850494345700667509

result:

ok found '411470.3585049', expected '411470.3585049', error '0.0000000'

Test #11:

score: 0
Accepted
time: 42ms
memory: 101604kb

input:

-1000 1000 -1000 1000
([1,0,-1000]^([0,1,-1000]^([1,0,-980]^([0,1,-980]^([1,0,-960]^([0,1,-960]^([1,0,-940]^([0,1,-940]^([1,0,-920]^([0,1,-920]^([1,0,-900]^([0,1,-900]^([1,0,-880]^([0,1,-880]^([1,0,-860]^([0,1,-860]^([1,0,-840]^([0,1,-840]^([1,0,-820]^([0,1,-820]^([1,0,-800]^([0,1,-800]^([1,0,-780]^...

output:

2000000.00000000000000000000

result:

ok found '2000000.0000000', expected '2000000.0000000', error '0.0000000'

Test #12:

score: 0
Accepted
time: 38ms
memory: 101668kb

input:

-500 500 -500 500
([2,-3,-1000]^([2,3,-1000]^([2,-3,-980]^([2,3,-980]^([2,-3,-960]^([2,3,-960]^([2,-3,-940]^([2,3,-940]^([2,-3,-920]^([2,3,-920]^([2,-3,-900]^([2,3,-900]^([2,-3,-880]^([2,3,-880]^([2,-3,-860]^([2,3,-860]^([2,-3,-840]^([2,3,-840]^([2,-3,-820]^([2,3,-820]^([2,-3,-800]^([2,3,-800]^([2,-...

output:

540000.00000000003404920790

result:

ok found '540000.0000000', expected '540000.0000000', error '0.0000000'

Test #13:

score: 0
Accepted
time: 16ms
memory: 101692kb

input:

-1000 1000 -1000 1000
([-57,281,0]^([478,81,0]^([-362,995,0]^([-339,614,0]^([491,769,0]^([673,486,0]^([-637,374,0]^([-204,383,0]^([-509,859,0]^([-973,757,0]^([-707,648,0]^([-792,409,0]^([-944,621,0]^([446,21,0]^([-553,473,0]^([795,704,0]^([-821,992,0]^([89,47,0]^([771,332,0]^([-845,259,0]^([271,867,...

output:

1823923.89715295019573204627

result:

ok found '1823923.8971530', expected '1823923.8971530', error '0.0000000'

Test #14:

score: 0
Accepted
time: 23ms
memory: 100564kb

input:

-1000 1000 -1000 1000
(([-27,-20,-237]^((([31,17,247]^[-4,-23,-917])^(![8,21,-342]))^((([-17,2,-281]&[-26,-31,186])|[31,-21,-697])|[-18,8,-512])))&[-5,19,-104])

output:

420530.73454094051007245980

result:

ok found '420530.7345409', expected '420530.7345409', error '0.0000000'

Test #15:

score: 0
Accepted
time: 60ms
memory: 102628kb

input:

-1000 1000 -1000 1000
((((!(((([31,17,247]^[-4,-23,-917])^(![8,21,-342]))^((([-17,2,-281]&[-26,-31,186])|[31,-21,-697])|[-18,8,-512]))^((!((!(!((([12,23,237]|[913,22,925])^[-14,11,-956])^[-9,-10,818])))|((([3,1,-213]^[-296,-13,171])&(!(!((!((!([-10,6,636]^[17,19,-546]))^([28,28,-698]|[-14,-4,-295]))...

output:

1479667.44078596616725462809

result:

ok found '1479667.4407860', expected '1479667.4407860', error '0.0000000'

Test #16:

score: 0
Accepted
time: 161ms
memory: 104128kb

input:

-1000 1000 -1000 1000
(((((((((((([-15,-2,9]^[-168,-28,507])^[-31,-23,293])^[23,-1,-290])^(([26,-4,869]^(([24,2,522]^[-10,5,-918])^[-22,5,50]))^[16,-827,-276]))^(([-1,-24,-651]^([16,15,-332]^[-722,29,-330]))^([-19,-23,14]^[12,-18,289])))^(((([6,-29,803]^[8,-8,50])^((([9,-7,-112]^([23,-29,-827]^[-12,...

output:

1945479.95743987041555556061

result:

ok found '1945479.9574399', expected '1945479.9574399', error '0.0000000'

Test #17:

score: 0
Accepted
time: 11ms
memory: 101116kb

input:

0 1000 0 1000
(((((((([85,-100,0]^[21,-100,0])^[55,-100,0])^([29,-100,0]^([47,-100,0]^([78,-100,0]^([13,-100,0]^([100,-11,0]^[86,-100,0]))))))^(([48,-100,0]^[35,-100,0])^((([39,-100,0]^[98,-100,0])^([9,-100,0]^[100,-14,0]))^[100,-79,0])))^([12,-100,0]^[100,-100,0]))^((([20,-100,0]^([100,-64,0]^([100...

output:

500000.00000000000000000000

result:

ok found '500000.0000000', expected '500000.0000000', error '0.0000000'

Test #18:

score: 0
Accepted
time: 44ms
memory: 101712kb

input:

0 100 0 100
(((([-85,1,0]^((([-21,1,0]^([-55,1,0]^(([-29,1,0]^[-47,1,0])^([-78,1,0]^[-13,1,0]))))^(([11,1,-100]^[-86,1,0])^[-48,1,0]))^([-35,1,0]^((((([-39,1,0]^([-98,1,0]^[-9,1,0]))^((([14,1,-100]^[79,1,-100])^[-12,1,0])^[100,1,-100]))^((([-20,1,0]^[64,1,-100])^(([60,1,-100]^([-1,1,0]^[41,1,-100]))...

output:

4987.31485497431413467240

result:

ok found '4987.3148550', expected '4987.3148550', error '0.0000000'

Test #19:

score: 0
Accepted
time: 98ms
memory: 102628kb

input:

-500 1000 -500 1000
((((((([2,-1,37]^[2,-1,1])^(([2,1,-55]^(([2,1,-29]^[2,1,-47])^[2,1,-78]))^([2,1,-13]^[0,1,-11])))^(((([2,1,-86]^([2,1,-48]^[2,-1,100]))^[2,-1,95])^[2,1,-98])^([2,1,-9]^([0,1,-14]^[0,1,-79]))))^([2,-1,88]^[0,1,-100]))^(([2,1,-20]^(([0,1,-64]^([2,-1,85]^[2,1,-1]))^(([2,-1,65]^([0,1...

output:

145000.00000000000000000000

result:

ok found '145000.0000000', expected '145000.0000000', error '0.0000000'

Test #20:

score: 0
Accepted
time: 12ms
memory: 101172kb

input:

0 1000 0 1000
(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!...

output:

623640.00000000000000000000

result:

ok found '623640.0000000', expected '623640.0000000', error '0.0000000'

Test #21:

score: 0
Accepted
time: 39ms
memory: 101836kb

input:

-300 300 -300 300
((([-199,200,0]&[299,-300,0])&([-1,-300,300]&[1,200,-200]))&([-1,-215,215]^((((([-1,-279,279]^[-1,-245,245])^(((((([-1,-271,271]^[-1,-253,253])^([-1,-222,222]^([-1,-287,287]^[289,-290,0])))^([-1,-214,214]^[-1,-252,252]))^(([-1,-265,265]^[-1,-261,261])^([-1,-202,202]^((([-1,-291,291...

output:

0.00000138891685755112

result:

ok found '0.0000014', expected '0.0000014', error '0.0000000'

Test #22:

score: 0
Accepted
time: 4ms
memory: 100664kb

input:

0 1000 0 1000
(([-998,999,0]&[999,-1000,0])&[-1,-1,3])

output:

0.00000112725366188356

result:

ok found '0.0000011', expected '0.0000011', error '0.0000000'

Extra Test:

score: 0
Extra Test Passed