답안 #168367

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
168367 2019-12-12T19:08:58 Z thecodingwizard Dragon 2 (JOI17_dragon2) C++11
60 / 100
494 ms 15980 KB
//#pragma GCC optimize ("O3")
//#pragma GCC target ("sse4")

#include <bits/stdc++.h>

using namespace std;

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, ii> B2[30000];
int bSweepIdx[30000];
int ct[30000];
int qryAns[100000];
point a, b;
vi dragonsByTribe[30000];
FenwickTree below(30000), above(30000);
FenwickTree below2(30000), above2(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 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);
    });

    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[m];
    vi queryAns[m];
    vii queries2[m];
    vi queryAns2[m];
    int queryCt[m]; SET(queryCt, 0, m);
    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) {
            queries[a].pb({b,i});
            queryAns[a].pb(0);
        } else {
            queries2[b].pb({a,i});
            queryAns2[b].pb(0);
        }
    }

    sort(B2, B2+n, [](const pair<point, ii> &x, const pair<point, ii> &y) {
        if (x.pB.pA == y.pB.pA) return cmp(x.pA, y.pA, b, a);
        return x.pB.pA < y.pB.pA;
    });
    vii tribe_sweepIdx[m];
    int bSweepIdx2[n];
    F0R(i, n) {
        bSweepIdx2[mappedAIdx[B2[i].pB.pB]] = i;
        tribe_sweepIdx[B2[i].pB.pA].eb(bSweepIdx[mappedAIdx[B2[i].pB.pB]], i);
    }
    F0R(i, m) sort(all(tribe_sweepIdx[i]));


    // FIRST SWEEP //
    F0R(i, n) {
        if (ccw(b, a, A[i].pA)) {
            below.adjust(bSweepIdx2[i]+1, 1);
        }
    }
    F0R(x, n) {
        F0R(i, sz(queries[A[x].pB])) {
            int t2 = queries[A[x].pB][i].pA;

            if (sz(tribe_sweepIdx[t2]) != 0) {
                ii lo = *lb(all(tribe_sweepIdx[t2]), mp(-1, -1));
                ii mx = *tribe_sweepIdx[t2].rbegin();
                ii hi;
                auto it = lb(all(tribe_sweepIdx[t2]), mp(bSweepIdx[x], -1));
                if (it != tribe_sweepIdx[t2].end()) hi = *it;
                else {
                    hi = {0, mx.pB + 1};
                }

                queryAns[A[x].pB][i] += below.rsq(lo.pB + 1, hi.pB);
                queryAns[A[x].pB][i] += above.rsq(hi.pB + 1, mx.pB + 1);
            }
        }

        if (ccw(b, a, A[x].pA)) {
            below.adjust(bSweepIdx2[x]+1, -1);
        } else {
            above.adjust(bSweepIdx2[x]+1, 1);
        }
    }

    F0R(i, m) {
        F0R(j, sz(queries[i])) {
            qryAns[queries[i][j].pB] = queryAns[i][j];
        }
    }
    // END FIRST SWEEP //

    // SECOND SWEEP //
    F0R(i, n) {
        below2.adjust(bSweepIdx2[i]+1, 1);
    }
    F0R(x, n) {
        F0R(i, sz(queries2[A[x].pB])) {
            int t2 = queries2[A[x].pB][i].pA;

            if (sz(tribe_sweepIdx[t2]) != 0) {
                ii lo = *lb(all(tribe_sweepIdx[t2]), mp(-1, -1));
                ii mx = *tribe_sweepIdx[t2].rbegin();
                ii hi;
                auto it = lb(all(tribe_sweepIdx[t2]), mp(bSweepIdx[x], -1));
                if (it != tribe_sweepIdx[t2].end()) hi = *it;
                else {
                    hi = {0, mx.pB + 1};
                }

                queryAns2[A[x].pB][i] += below2.rsq(lo.pB + 1, hi.pB);
                queryAns2[A[x].pB][i] += above2.rsq(hi.pB + 1, mx.pB + 1);
            }
        }

        below2.adjust(bSweepIdx2[x]+1, -1);
        above2.adjust(bSweepIdx2[x]+1, 1);
    }

    F0R(i, m) {
        F0R(j, sz(queries2[i])) {
            qryAns[queries2[i][j].pB] = queryAns2[i][j];
        }
    }
    // END SECOND SWEEP

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

    return 0;
}

Compilation message

dragon2.cpp: In function 'void input::setupIO(const string&)':
dragon2.cpp:85:24: 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:86:24: 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);
                 ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 13 ms 5884 KB Output is correct
2 Correct 14 ms 5880 KB Output is correct
3 Correct 28 ms 6008 KB Output is correct
4 Correct 69 ms 8940 KB Output is correct
5 Correct 58 ms 9704 KB Output is correct
6 Correct 17 ms 6524 KB Output is correct
7 Correct 13 ms 6520 KB Output is correct
8 Correct 12 ms 5880 KB Output is correct
9 Correct 12 ms 5880 KB Output is correct
10 Correct 12 ms 5880 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 77 ms 6620 KB Output is correct
2 Correct 102 ms 6612 KB Output is correct
3 Correct 84 ms 6764 KB Output is correct
4 Correct 77 ms 6776 KB Output is correct
5 Correct 76 ms 11000 KB Output is correct
6 Correct 78 ms 6560 KB Output is correct
7 Correct 71 ms 6692 KB Output is correct
8 Correct 73 ms 6520 KB Output is correct
9 Correct 72 ms 6648 KB Output is correct
10 Correct 63 ms 6520 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 13 ms 5884 KB Output is correct
2 Correct 14 ms 5880 KB Output is correct
3 Correct 28 ms 6008 KB Output is correct
4 Correct 69 ms 8940 KB Output is correct
5 Correct 58 ms 9704 KB Output is correct
6 Correct 17 ms 6524 KB Output is correct
7 Correct 13 ms 6520 KB Output is correct
8 Correct 12 ms 5880 KB Output is correct
9 Correct 12 ms 5880 KB Output is correct
10 Correct 12 ms 5880 KB Output is correct
11 Correct 77 ms 6620 KB Output is correct
12 Correct 102 ms 6612 KB Output is correct
13 Correct 84 ms 6764 KB Output is correct
14 Correct 77 ms 6776 KB Output is correct
15 Correct 76 ms 11000 KB Output is correct
16 Correct 78 ms 6560 KB Output is correct
17 Correct 71 ms 6692 KB Output is correct
18 Correct 73 ms 6520 KB Output is correct
19 Correct 72 ms 6648 KB Output is correct
20 Correct 63 ms 6520 KB Output is correct
21 Correct 77 ms 6620 KB Output is correct
22 Correct 99 ms 6632 KB Output is correct
23 Correct 287 ms 6936 KB Output is correct
24 Correct 494 ms 9964 KB Output is correct
25 Correct 156 ms 11500 KB Output is correct
26 Correct 151 ms 15016 KB Output is correct
27 Correct 84 ms 12920 KB Output is correct
28 Correct 83 ms 12828 KB Output is correct
29 Incorrect 157 ms 15980 KB Output isn't correct
30 Halted 0 ms 0 KB -