Submission #311792

#	Time	Username	Problem	Language	Result	Execution time	Memory
311792		ant101	Ideal city (IOI12_city)	C++14	100 / 100	855 ms	49404 KiB

city

#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 = 1e9; // 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;

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

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

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

ll N;
pl pts[MX];
ll cellsadj[MX][4];
map<ll, map<ll, ll>> gposx;
map<ll, map<ll, ll>> gposy;
ll wh[MX], wl[MX];
vl hnodes[MX], vnodes[MX];
ll currx = 0, curry = 0;
map<ll, ll> c2nx, c2ny;
vl hadj[MX], vadj[MX];

/*
 E, S, W, N
 0, 1, 2, 3
 */

ll horizcomp = 0, vertcomp = 0;


ll dfsh(ll u, ll p) {
    ll totsz = wh[u];
    trav(v, hadj[u]) {
        if (v != p) {
            ll sz = dfsh(v, u);
            add_self(vertcomp, mul(sz, N-sz));
            add_self(totsz, sz);
        }
    }
    return totsz;
}

ll dfsv(ll u, ll p) {
    ll totsz = wl[u];
    trav(v, vadj[u]) {
        if (v != p) {
            ll sz = dfsv(v, u);
            add_self(horizcomp, mul(sz, N-sz));
            add_self(totsz, sz);
        }
    }
    return totsz;
}

int DistanceSum(int n, int *X, int *Y) {
    N = n;
    F0R (i, N) {
        pts[i] = {X[i], Y[i]};
        if (!gposx.count(X[i])) {
            map<ll, ll> m;
            gposx[X[i]] = m;
        }
        gposx[X[i]][Y[i]] = i;
        if (!gposy.count(Y[i])) {
            map<ll, ll> m;
            gposy[Y[i]] = m;
        }
        gposy[Y[i]][X[i]] = i;
    }
    F0R (i, N) {
        F0R (ii, 4) {
            ll nx = pts[i].f+dx[ii], ny = pts[i].s+dy[ii];
            if (gposx.count(nx)) {
                if (gposx[nx].count(ny)) {
                    cellsadj[i][ii] = gposx[nx][ny];
                } else {
                    cellsadj[i][ii] = -1;
                }
            } else {
                cellsadj[i][ii] = -1;
            }
        }
    }
    trav(x, gposx) {
        ll lasty = -1;
        vl currcomp;
        trav(y, x.s) {
            if (lasty == -1 || lasty == y.f-1) {
                currcomp.pb(y.s);
                c2nx[y.s] = currx;
                wh[currx]++;
                lasty = y.f;
            } else {
                lasty = y.f;
                hnodes[currx++] = currcomp;
                currcomp.clear();
                currcomp.pb(y.s);
                c2nx[y.s] = currx;
                wh[currx]++;
            }
        }
        hnodes[currx++] = currcomp;
        currcomp.clear();
    }
    trav(y, gposy) {
        ll lastx = -1;
        vl currcomp;
        trav(x, y.s) {
            if (lastx == -1 || lastx == x.f-1) {
                currcomp.pb(x.s);
                c2ny[x.s] = curry;
                wl[curry]++;
                lastx = x.f;
            } else {
                lastx = x.f;
                vnodes[curry++] = currcomp;
                currcomp.clear();
                currcomp.pb(x.s);
                c2ny[x.s] = curry;
                wl[curry]++;
            }
        }
        vnodes[curry++] = currcomp;
        currcomp.clear();
    }
    F0R (i, currx) {
        set<ll> es;
        trav(u, hnodes[i]) {
            if (cellsadj[u][1] != -1) {
                es.insert(c2nx[cellsadj[u][1]]);
            }
            if (cellsadj[u][3] != -1)
                es.insert(c2nx[cellsadj[u][3]]);
        }
        trav(a, es) {
            hadj[i].pb(a);
        }
    }
    F0R (i, curry) {
        set<ll> es;
        trav(u, vnodes[i]) {
            if (cellsadj[u][0] != -1)
                es.insert(c2ny[cellsadj[u][0]]);
            if (cellsadj[u][2] != -1)
                es.insert(c2ny[cellsadj[u][2]]);
        }
        trav(a, es) {
            vadj[i].pb(a);
        }
    }
    dfsh(0, -1);
    dfsv(0, -1);
    return add(horizcomp, vertcomp);

}

Compilation message (stderr)

city.cpp: In function 'void io::setIn(std::string)':
city.cpp:67:35: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   67 |     void setIn(string s) { freopen(s.c_str(),"r",stdin); }
      |                            ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
city.cpp: In function 'void io::setOut(std::string)':
city.cpp:68:36: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   68 |     void setOut(string s) { freopen(s.c_str(),"w",stdout); }
      |                             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 11 / 11
• Subtask 2: 21 / 21
• Subtask 3: 23 / 23
• Subtask 4: 45 / 45