Submission #242914

#	Time	Username	Problem	Language	Result	Execution time	Memory
242914		ant101	trapezoid (balkan11_trapezoid)	C++14	80 / 100	419 ms	56440 KiB

trapezoid

#include <iostream>
#include <algorithm>
#include <cstring>
#include <iomanip>
#include <fstream>
#include <cmath>
#include <vector>
#include <set>
#include <unordered_set>
#include <unordered_map>
#include <map>
#include <stack>
#include <queue>
#include <assert.h>
#include <limits>
#include <cstdio>
#include <complex>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;

typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
#define mp make_pair
#define f first
#define s second

typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;

#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)

const int MOD = 30013; // 998244353; // = (119<<23)+1
const int MX = 1e5+5;
const ll INF = 1e18;
const ld PI = 4*atan((ld)1);
const int dx[4] = {0,1,0,-1}, dy[4] = {1,0,-1,0};


namespace io {
    void setIn(string s) { freopen(s.c_str(),"r",stdin); }
    void setOut(string s) { freopen(s.c_str(),"w",stdout); }
    void setIO(string s = "") {
        ios_base::sync_with_stdio(0); cin.tie(0); // fast I/O
        // cin.exceptions(cin.failbit); // ex. throws exception when you try to read letter into int
        if (sz(s)) {
            setIn(s+".in");
            setOut(s+".out");
        } // for USACO
    }
}

using namespace io;

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 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 T> void re(complex<T>& x) { T a,b; re(a,b); x = cd(a,b); }
    template<class T1, class T2> void re(pair<T1,T2>& p) { re(p.f,p.s); }
    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]); }
}

namespace output {
    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 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.f,", ",x.s,"}");
    }
    template<class T> void prContain(const T& x) {
        pr("{");
        bool fst = 1; for (const auto& a: x) pr(!fst?", ":"",a), fst = 0; // const needed for vector<bool>
        pr("}");
    }
    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;

using namespace input;

int add(int a, int b) {
    a += b;
    if(a >= MOD) {
        a -= MOD;
    }
    return a;
}
int sub(int a, int b) {
    a -= b;
    if(a < 0) {
        a += MOD;
    }
    return a;
}

int mul(int a, int b) {
    return (a * b)%MOD;
}

void add_self(int& a, int b) {
    a = add(a, b);
}
void sub_self(int& a, int b) {
    a = sub(a, b);
}
void mul_self(int& a, int b) {
    a = mul(a, b);
}



int N, M = 0;

struct T {
    int tl, tr, bl, br;
};

bool cmp(T a, T b) {return a.bl<b.bl;}

map<int, int> cc;

T trap[MX];
int t[MX*8];
int dp[MX];
pair<pair<int, int>, int> events[MX*2];
vector<int> inds[MX];
vector<int> trees[MX];
int dp2[MX];

void update(ll ind, ll num, ll dval) {
    while (ind<=trees[dval].size()) {
        add_self(trees[dval][ind-1], num);
        ind+=(ind&-ind);
    }
}

ll getsum(ll ind, ll dval) {
    if (ind == 0) {
        return 0;
    }
    int sum = 0;
    while (ind) {
        add_self(sum, trees[dval][ind-1]);
        ind-=(ind&-ind);
    }
    return sum;
}

void upd(ll curr, ll tl, ll tr, ll pos, ll val) {
    if (tl == tr && tl == pos) {
        t[curr] = val;
    } else {
        ll tm = (tl+tr)/2;
        if (pos <= tm) {
            upd(curr*2, tl, tm, pos, val);
        } else {
            upd(curr*2+1, tm+1, tr, pos, val);
        }
        t[curr] = max(t[curr*2], t[curr*2+1]);
    }
}

ll qry(ll curr, ll tl, ll tr, ll l, ll r) {
    if (l > r) {
        return 0;
    }
    if (tl == l && tr == r) {
        return t[curr];
    } else {
        ll tm = (tl+tr)/2;
        return max(qry(curr*2, tl, tm, l, min(r, tm)), qry(curr*2+1, tm+1, tr, max(l, tm+1), r));
    }
}

int main() {
    setIO();
    re(N);
    FOR (i, 1, N+1) {
        re(trap[i].tl, trap[i].tr, trap[i].bl, trap[i].br);
    }
    sort(trap+1, trap+1+N, cmp);
    FOR (i, 1, N+1) {
        cc[trap[i].tl] = 0;
        cc[trap[i].tr] = 0;
        cc[trap[i].bl] = 0;
        cc[trap[i].br] = 0;
    }
    ll curr = 0;
    trav (i, cc) {
        cc[i.f] = ++curr;
    }
    FOR (i, 1, N+1) {
        trap[i].tl = cc[trap[i].tl];
        trap[i].tr = cc[trap[i].tr];
        trap[i].bl = cc[trap[i].bl];
        trap[i].br = cc[trap[i].br];
    }
    FOR (i, 1, N+1) {
        events[++M] = {{trap[i].tr, trap[i].br}, i};
        events[++M] = {{trap[i].tl, trap[i].bl}, i};
    }
    sort(events+1, events+1+M);
    int best = 1;
    ROF (i, 1, M+1) {
        ll ind = events[i].s;
        if (events[i].f == mp(trap[ind].tr, trap[ind].br)) {
            dp[ind] = 1+qry(1, 1, curr, trap[ind].br, curr);
            best = max(best, dp[ind]);
        } else {
            upd(1, 1, curr, trap[ind].bl, dp[ind]);
        }
    }
    FOR (i, 1, N+1) {
        inds[dp[i]].push_back(trap[i].bl);
    }
    FOR (i, 1, N+1) {
        if (inds[i].size()) {
            vector<int> v(inds[i].size(), 0);
            trees[i] = v;
        }
    }
    ROF (i, 1, M+1) {
        ll ind = events[i].s;
        if (events[i].f == mp(trap[ind].tr, trap[ind].br)) {
            ll lnum = dp[ind]-1;
            if (lnum == 0) {
                dp2[ind] = 1;
                continue;
            }
            auto vil = lower_bound(inds[lnum].begin(), inds[lnum].end(), trap[ind].br);
            dp2[ind] = sub(getsum(inds[lnum].size(), lnum), getsum(distance(inds[lnum].begin(), vil), lnum));
        } else {
            auto vil = lower_bound(inds[dp[ind]].begin(), inds[dp[ind]].end(), trap[ind].bl);
            update(distance(inds[dp[ind]].begin(), vil)+1, dp2[ind], dp[ind]);
        }
    }
    int ans = 0;
    FOR (i, 1, N+1) {
        if (dp[i] == best) {
            add_self(ans, dp2[i]);
        }
    }
    ps(best, ans);
    return 0;
}

Compilation message (stderr)

trapezoid.cpp: In function 'void update(ll, ll, ll)':
trapezoid.cpp:188:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     while (ind<=trees[dval].size()) {
            ~~~^~~~~~~~~~~~~~~~~~~~
trapezoid.cpp: In function 'void io::setIn(std::__cxx11::string)':
trapezoid.cpp:67:35: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setIn(string s) { freopen(s.c_str(),"r",stdin); }
                            ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
trapezoid.cpp: In function 'void io::setOut(std::__cxx11::string)':
trapezoid.cpp:68:36: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setOut(string s) { freopen(s.c_str(),"w",stdout); }
                             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 80 / 100