Submission #168241

#	Time	Username	Problem	Language	Result	Execution time	Memory
168241		thecodingwizard	Dragon 2 (JOI17_dragon2)	C++11	60 / 100	4059 ms	12272 KiB

dragon2

//#pragma GCC optimize ("O3")
//#pragma GCC target ("sse4")

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp> // Common file
#include <ext/pb_ds/tree_policy.hpp> // Including tree_order_statistics_node_update

using namespace std;
using namespace __gnu_pbds;

template<class T> using min_heap = priority_queue<T, vector<T>, greater<T>>;

#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define F0R1(i, a) for (int i=1; i<=(a); i++)
#define FORd(i, a, b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i, a) for (int i = (a)-1; i >= 0; i--)
#define trav(a, x) for (auto& a : x)
#define MIN(a, b) a = min(a, b)
#define MAX(a, b) a = max(a, b)

#define INF 1000000010
#define LL_INF 4500000000000000000LL
#define LSOne(S) (S & (-S))
#define EPS 1e-9
#define pA first
#define pB second
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define eb emplace_back
#define PI acos(-1.0)
// #define MOD (int)(2e+9+11)
#define MOD (int)(1e+9+7)
#define SET(vec, val, size) for (int i = 0; i < size; i++) vec[i] = val;
#define SET2D(arr, val, dim1, dim2) F0R(i, dim1) F0R(j, dim2) arr[i][j] = val;
#define SET3D(arr, val, dim1, dim2, dim3) F0R(i, dim1) F0R(j, dim2) F0R(k, dim3) arr[i][j][k] = val;
#define SET4D(arr, val, dim1, dim2, dim3, dim4) F0R(i, dim1) F0R(j, dim2) F0R(k, dim3) F0R(l, dim4) arr[i][j][k][l] = val;

#define lb lower_bound
#define ub upper_bound
#define sz(x) (int)x.size()
#define beg(x) x.begin()
#define en(x) x.end()
#define all(x) beg(x), en(x)
#define resz resize
#define SORT(vec) sort(all(vec))
#define RSORT(vec) sort(vec.rbegin(),vec.rend())

typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vl;

// @formatter:off
// Source: Benq (https://github.com/bqi343/USACO) [Modified]
namespace input {
    template<class T> void re(complex<T>& x);
    template<class T1, class T2> void re(pair<T1,T2>& p);
    template<class T> void re(vector<T>& a);
    template<class T, size_t SZ> void re(array<T,SZ>& a);
    template<class T> void reA(T A[], int sz);

    template<class T> void re(T& x) { cin >> x; }
    void re(double& x) { string t; re(t); x = stod(t); }
    void re(ld& x) { string t; re(t); x = stold(t); }
    template<class Arg, class... Args> void re(Arg& first, Args&... rest) {
        re(first); re(rest...);
    }

    template<class T1, class T2> void re(pair<T1,T2>& p) { re(p.pA,p.pB); }
    template<class T> void re(vector<T>& a) { F0R(i,sz(a)) re(a[i]); }
    template<class T, size_t SZ> void re(array<T,SZ>& a) { F0R(i,SZ) re(a[i]); }
    template<class T> void reA(T A[], int sz) { F0R(i, sz) re(A[i]); }

    void setupIO(const string &PROB = "") {
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
        if (PROB.length() != 0) {
            ifstream infile(PROB + ".in");
            if (infile.good()) {
                freopen((PROB + ".in").c_str(), "r", stdin);
                freopen((PROB + ".out").c_str(), "w", stdout);
            }
        }
    }
}
using namespace input;

namespace output {
    template<class T1, class T2> void prD(const pair<T1,T2>& x);
    template<class T, size_t SZ> void prD(const array<T,SZ>& x);
    template<class T> void prD(const vector<T>& x);
    template<class T> void prD(const set<T>& x);
    template<class T1, class T2> void prD(const map<T1,T2>& x);

    template<class T1, class T2> void pr(const pair<T1,T2>& x);
    template<class T, size_t SZ> void pr(const array<T,SZ>& x);
    template<class T> void pr(const vector<T>& x);
    template<class T> void pr(const set<T>& x);
    template<class T1, class T2> void pr(const map<T1,T2>& x);

    template<class T> void prD(const T& x) { cout << x; cout.flush(); }
    template<class Arg, class... Args> void prD(const Arg& first, const Args&... rest) {
        prD(first); prD(rest...);
    }

    template<class T1, class T2> void prD(const pair<T1,T2>& x) {
        prD("{",x.pA,", ",x.pB,"}");
    }
    template<class T> void prDContain(const T& x) {
        prD("{");
        bool fst = 1; for (const auto& a: x) prD(!fst?", ":"",a), fst = 0; // const needed for vector<bool>
        prD("}");
    }
    template<class T, size_t SZ> void prD(const array<T,SZ>& x) { prDContain(x); }
    template<class T> void prD(const vector<T>& x) { prDContain(x); }
    template<class T> void prD(const set<T>& x) { prDContain(x); }
    template<class T1, class T2> void prD(const map<T1,T2>& x) { prDContain(x); }

    void psD() { prD("\n"); }
    template<class Arg> void psD(const Arg& first) {
        prD(first); psD(); // no space at end of line
    }
    template<class Arg, class... Args> void psD(const Arg& first, const Args&... rest) {
        prD(first," "); psD(rest...); // print w/ spaces
    }


    template<class T> void pr(const T& x) { cout << x; }
    template<class Arg, class... Args> void pr(const Arg& first, const Args&... rest) {
        pr(first); pr(rest...);
    }

    template<class T1, class T2> void pr(const pair<T1,T2>& x) {
        pr(x.pA, " ", x.pB);
    }
    template<class T> void prContain(const T& x) {
        bool fst = 1; for (const auto& a: x) pr(!fst?" ":"",a), fst = 0; // const needed for vector<bool>
    }
    template<class T, size_t SZ> void pr(const array<T,SZ>& x) { prContain(x); }
    template<class T> void pr(const vector<T>& x) { prContain(x); }
    template<class T> void pr(const set<T>& x) { prContain(x); }
    template<class T1, class T2> void pr(const map<T1,T2>& x) { prContain(x); }

    void ps() { pr("\n"); }
    template<class Arg> void ps(const Arg& first) {
        pr(first); ps(); // no space at end of line
    }
    template<class Arg, class... Args> void ps(const Arg& first, const Args&... rest) {
        pr(first," "); ps(rest...); // print w/ spaces
    }
}
using namespace output;
// @formatter:on

/* ============================ */

struct point { ld x, y;   // only used if more precision is needed
    point() { x = y = 0.0; }                      // default constructor
    point(ld _x, ld _y) : x(_x), y(_y) {}        // user-defined
    bool operator == (point other) const {
        return (fabs(x-other.x) < EPS && (fabs(y-other.y) < EPS)); }
    bool operator <(const point &p) const {
        return x < p.x || (abs(x-p.x) < EPS && y < p.y); } };

struct vec { ld x, y;  // name: `vec' is different from STL vector
    vec(ld _x, ld _y) : x(_x), y(_y) {} };

vec toVec(point a, point b) {       // convert 2 points to vector a->b
    return vec(b.x-a.x, b.y-a.y); }

ld cross(vec a, vec b) { return a.x*b.y - a.y*b.x; }

// note: to accept collinear points, we have to change the `> 0'
// returns true if point r is on the left side of line pq
bool ccw(point p, point q, point r) {
    return cross(toVec(p, q), toVec(p, r)) > 0; }

class FenwickTree {
private:
    vi ft;

public:
    FenwickTree() {}
    FenwickTree(int n) { ft.assign(n + 1, 0); }

    int rsq(int b) {
        int sum = 0; for (; b; b -= LSOne(b)) sum += ft[b];
        return sum; }

    int rsq(int a, int b) {
        return rsq(b) - (a == 1 ? 0 : rsq(a - 1)); }

    void adjust(int k, int v) {
        for (; k < (int)ft.size(); k += LSOne(k)) ft[k] += v; }
};

int n, m;
pair<point, int> A[30000];
pair<point, pair<int, int>> A2[30000];
pair<point, int> B[30000];
pair<point, ii> B2[30000];
int bSweepIdx[30000];
int ct[30000];
int qryAns[100000];
point a, b;
vector<int> toProcess;
vi dragonsByTribe[30000];
FenwickTree above(30000), below(30000);

// returns true if x < y in angle sweep about point a
bool cmp(point x, point y, point a, point b) {
    bool isBelowX = ccw(b, a, x), isBelowY = ccw(b, a, y);
    if (isBelowX == isBelowY) {
        return ccw(a, x, y);
    } else if (isBelowX && !isBelowY) {
        return !ccw(x, y, a);
    } else {
        return ccw(y, x, a);
    }
}

int solve(int t1, int t2) {
    trav(x, toProcess) {
        if (A[x].pB == t2 && ccw(b, a, A[x].pA)) {
            below.adjust(bSweepIdx[x]+1, 1);
        }
    }

    int ct = 0;
    trav(x, toProcess) {
        if (A[x].pB == t1) {
            if (ccw(b, a, A[x].pA)) {
                // below
                ct += below.rsq(bSweepIdx[x]+1);
                ct += above.rsq(bSweepIdx[x]+1, n);
            } else {
                ct += below.rsq(bSweepIdx[x]+1);
                ct += above.rsq(bSweepIdx[x]+1, n);
            }
        } else {
            if (ccw(b, a, A[x].pA)) {
                below.adjust(bSweepIdx[x]+1, -1);
            } else {
                above.adjust(bSweepIdx[x]+1, 1);
            }
        }
    }

    trav(x, toProcess) {
        if (A[x].pB == t2 && !ccw(b, a, A[x].pA)) {
            above.adjust(bSweepIdx[x]+1, -1);
        }
    }

    return ct;
}

set<int> activeSet[30000];
void solve2(int t1, vii &queries) {
    vi targets; trav(x, queries) targets.pb(x.pA);
    vi toProcess;

    trav(t2, targets) {
        trav(x, dragonsByTribe[t2]) {
            toProcess.pb(x);
            if (ccw(b, a, A[x].pA)) {
                activeSet[t2].insert(x);
            }
        }
    }
    trav(x, dragonsByTribe[t1]) {
        toProcess.pb(x);
    }

    sort(toProcess.begin(), toProcess.end(), [](const int &x, const int &y) {
        return cmp(A[x].pA, A[y].pA, a, b);
    });

    int ct2[sz(targets)]; SET(ct2, 0, sz(targets));
    trav(x, toProcess) {
        if (A[x].pB == t1) {
            if (ccw(b, a, A[x].pA)) {
                // below
                F0R(i, sz(targets)) {
                    int t2 = targets[i];
                    for (int y : activeSet[t2]) {
                        if (ccw(A[x].pA, b, A[y].pA)) ct2[i]++;
                    }
                }
            } else {
                F0R(i, sz(targets)) {
                    int t2 = targets[i];
                    for (int y : activeSet[t2]) {
                        if (ccw(b, A[x].pA, A[y].pA)) ct2[i]++;
                    }
                }
            }
        } else {
            if (ccw(b, a, A[x].pA)) {
                activeSet[A[x].pB].erase(x);
            } else {
                activeSet[A[x].pB].insert(x);
            }
        }
    }


    F0R(i, sz(queries)) {
        ii t2 = queries[i];
        activeSet[t2.pA].clear();
        qryAns[t2.pB] = ct2[i];
    }
}

int main() {
    setupIO();

    re(n, m); SET(ct, 0, m);
    F0R(i, n) {
        int a, b, c; re(a, b, c);
        A2[i] = B2[i] = {point(a, b), {c-1, i}};
        ct[c-1]++;
    }
    re(a.x, a.y, b.x, b.y);

    sort(A2, A2+n, [](const pair<point, ii> &x, const pair<point, ii> &y) {
        return cmp(x.pA, y.pA, a, b);
    });
    F0R(i, n) {
        A[i] = {A2[i].pA, A2[i].pB.pA};
    }

    F0R(i, n) {
        dragonsByTribe[A[i].pB].pb(i);
    }

    sort(B2, B2+n, [](const pair<point, ii> &x, const pair<point, ii> &y) {
        return cmp(x.pA, y.pA, b, a);
    });
    F0R(i, n) {
        B[i] = {B2[i].pA, B2[i].pB.pA};
    }

    int mappedAIdx[n];
    F0R(i, n) mappedAIdx[A2[i].pB.pB] = i;
    F0R(i, n) bSweepIdx[mappedAIdx[B2[i].pB.pB]] = i;

    int q; re(q); int SQRT = sqrt(q);
    vii queries[n];
    int queryCt[n]; SET(queryCt, n, 0);
    vii rawQueries;
    F0R(i, q) {
        int a, b; re(a, b); --a; --b;
        rawQueries.pb({a, b});
        queryCt[a]++;
    }
    F0R(i, sz(rawQueries)) {
        int a = rawQueries[i].pA, b = rawQueries[i].pB;
        if (queryCt[a] <= SQRT) {
            toProcess.clear();
            F0R(i, n) {
                if (A[i].pB == a || A[i].pB == b) toProcess.pb(i);
            }
            qryAns[i] = solve(a, b);
        } else {
            queries[a].pb({b,i});
        }
    }

    F0R(i, n) {
        solve2(i, queries[i]);
    }

    F0R(i, q) ps(qryAns[i]);

    return 0;
}

Compilation message (stderr)

dragon2.cpp: In function 'void input::setupIO(const string&)':
dragon2.cpp:88:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
                 freopen((PROB + ".in").c_str(), "r", stdin);
                 ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
dragon2.cpp:89:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
                 freopen((PROB + ".out").c_str(), "w", stdout);
                 ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 15 / 15
• Subtask 2: 45 / 45
• Subtask 3: 0 / 40