Submission #168235

# Submission time Handle Problem Language Result Execution time Memory
168235 2019-12-12T06:15:05 Z thecodingwizard Dragon 2 (JOI17_dragon2) C++11
60 / 100
4000 ms 9156 KB
//#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, int> B[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);
        A[i] = B[i] = {point(a, b), c-1};
        ct[c-1]++;
    }
    re(a.x, a.y, b.x, b.y);

    sort(A, A+n, [](const pair<point, int> &x, const pair<point, int> &y) {
        return cmp(x.pA, y.pA, a, b);
    });

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

    sort(B, B+n, [](const pair<point, int> &x, const pair<point, int> &y) {
        return cmp(x.pA, y.pA, b, a);
    });

    F0R(i, n) {
        F0R(j, n) {
            if (A[i] == B[j]) bSweepIdx[i] = j;
        }
    }

    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

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);
                 ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 33 ms 5752 KB Output is correct
2 Correct 36 ms 5624 KB Output is correct
3 Correct 102 ms 5880 KB Output is correct
4 Correct 960 ms 8208 KB Output is correct
5 Correct 941 ms 8308 KB Output is correct
6 Correct 46 ms 5880 KB Output is correct
7 Correct 46 ms 5880 KB Output is correct
8 Correct 33 ms 5752 KB Output is correct
9 Correct 32 ms 5624 KB Output is correct
10 Correct 32 ms 5752 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2242 ms 7704 KB Output is correct
2 Correct 2274 ms 7288 KB Output is correct
3 Correct 2253 ms 7424 KB Output is correct
4 Correct 2243 ms 7444 KB Output is correct
5 Correct 2235 ms 8056 KB Output is correct
6 Correct 2223 ms 7560 KB Output is correct
7 Correct 2237 ms 7796 KB Output is correct
8 Correct 2233 ms 7548 KB Output is correct
9 Correct 2245 ms 7392 KB Output is correct
10 Correct 2276 ms 7544 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 33 ms 5752 KB Output is correct
2 Correct 36 ms 5624 KB Output is correct
3 Correct 102 ms 5880 KB Output is correct
4 Correct 960 ms 8208 KB Output is correct
5 Correct 941 ms 8308 KB Output is correct
6 Correct 46 ms 5880 KB Output is correct
7 Correct 46 ms 5880 KB Output is correct
8 Correct 33 ms 5752 KB Output is correct
9 Correct 32 ms 5624 KB Output is correct
10 Correct 32 ms 5752 KB Output is correct
11 Correct 2242 ms 7704 KB Output is correct
12 Correct 2274 ms 7288 KB Output is correct
13 Correct 2253 ms 7424 KB Output is correct
14 Correct 2243 ms 7444 KB Output is correct
15 Correct 2235 ms 8056 KB Output is correct
16 Correct 2223 ms 7560 KB Output is correct
17 Correct 2237 ms 7796 KB Output is correct
18 Correct 2233 ms 7548 KB Output is correct
19 Correct 2245 ms 7392 KB Output is correct
20 Correct 2276 ms 7544 KB Output is correct
21 Correct 2252 ms 7584 KB Output is correct
22 Correct 2263 ms 7412 KB Output is correct
23 Correct 2996 ms 7672 KB Output is correct
24 Execution timed out 4075 ms 9156 KB Time limit exceeded
25 Halted 0 ms 0 KB -