Submission #711783

#	Time	Username	Problem	Language	Result	Execution time	Memory
711783		Filya	Marriage questions (IZhO14_marriage)	C++14	100 / 100	541 ms	3060 KiB

marriage

/////////////////////include/////////////////////
//#include <bits/stdc++.h>
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <string>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <cassert>
#include <set>
#include <map>
#include <unordered_map>
#include <vector>
#include <stack>
#include <queue>
#include <iomanip>
#include <bitset>
#include <stdio.h>
#include <climits>
#include <numeric>
using namespace std;
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
//using namespace __gnu_pbds;
//template <typename T>
//using ordered_set = tree <T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
/////////////////////define/////////////////////
#define ci(x) if(x) cout << "YES" << '\n'; else cout << "NO" << '\n';
#define cii(x) if(check(x))
#define MOD 1000000007
#define MOD2 998244353
#define oo 1e9
#define ool 1e18L
#define pii pair<int, int>
#define pll pair<long long, long long>
#define mii map<int, int>
#define vi vector<int>
#define vpi vector<pair<int, int>>
#define vll vector <ll>
#define ff first
#define ss second
#define mp make_pair
#define ll long long
#define ld long double
#define pb push_back
#define eb emplace_back
#define pob pop_back
#define lb lower_bound
#define ub upper_bound
#define bs binary_search
#define sz(x) (int((x).size()))
#define all(x) (x).begin(), (x).end()
#define alll(x) (x), (x) + n
#define clr(x) (x).clear();
#define fri(x) for(int i = 0; i < x; ++i)
#define frj(x) for(int j = 0; j < x; ++j)
#define frp(x) for(int p = 0; p < x; ++p)
#define frr(a, b) for(int i = a; i < b; ++i)
#define frrj(a, b) for(int j = a; j < b; ++j)
#define fra(x) for(int i = 0; i < x; ++i) cin >> a[i];
#define frb(x) for(int i = 0; i < x; ++i) cin >> b[i];
#define frs(x) for(auto it = x.begin(); it != x.end(); ++it)
#define fr(x) for(auto it : x) //el
#define fastio ios_base::sync_with_stdio(false); cin.tie(0);
#define dbg(x) cerr << #x << ": " << x << endl;
#define ce(x) cout << x << endl;
#define uniq(x) x.resize(unique(all(x)) - x.begin()); //make all one after sorting
#define blt __builtin_popcount
/////////////////////print array, vector, deque, set, multiset, pair, map /////////////////////
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]"; cout << endl;}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]"; cout << endl;}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]"; cout << endl;}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]"; cout << endl;}
template <class T> void print(stack <T> v) {cerr << "[ "; stack<T> s = v; while(s.size()) {T i = s.top(); print(i); s.pop(); cerr << " ";} cerr << "]"; cout << endl;}
template <class T> void print(queue <T> v) {cerr << "[ "; queue<T> s = v; while(s.size()) {T i = s.front(); print(i); s.pop(); cerr << " ";} cerr << "]"; cout << endl;}
template <class T> void print(deque <T> v) {cerr << "[ "; deque<T> s = v; while(s.size()) {T i = s.front(); print(i); s.pop_front(); cerr << " ";} cerr << "]"; cout << endl;}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]"; cout << endl;}
template <class T, class V> void print(unordered_map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]"; cout << endl;}
/////////////////////code/////////////////////
vi g[40005]; 
int mt[40005]; 
bool used[40005];
bool kuhn(int v, int l, int r) {
    if(used[v]) return 0;
    used[v] = 1;
    for(int u : g[v]) {
        if(u < l || u > r) continue;
        if(mt[u] == -1 || kuhn(mt[u], l, r)) {
            mt[u] = v;
            mt[v] = u;
            return 1;
        }
    }
    return 0;
}

int main() {
    fastio;
    int n, m, k, x, y;
    cin >> n >> m >> k;
    fri(k) {
        cin >> x >> y; x += m;
        g[x].pb(y);
        g[y].pb(x);
    }
    n += m;
    int l = 2 * m, r = n, ans = -1, mid; //l=2m qani vor gone m hat arqa piti lini
    while(l <= r) {
        mid = (l + r) / 2;
        frr(1, 1 + n)
            mt[i] = -1;
        bool f = 1;
        frr(1, 1 + m) {
            frrj(1, 1 + n) used[j] = 0;
            if(!kuhn(i, m+1, mid)) {
                f = 0;
                break;
            }
        }
        if(f) {
            ans = mid;
            r = mid - 1;
        } else l = mid + 1;
    }
    if(ans == -1) {
        cout << 0;
        return 0;
    }
    int answ = n - ans + 1; //1ov sksvoxneri tivy
    frr(1, 1 + n)
        mt[i] = -1;
    frr(1, 1 + m) {
        frrj(1, 1 + n)
            used[j] = 0;
        kuhn(i, m+1, ans);
    }
    // print(mt, n + 1);
    for(int i = m + 1; i <= n; i++) { //i-rdy hanum enq mer kandidatneric
        if(mt[i] == -1) {
            answ += n - ans + 1; //ans ic sksac minchev n+m bolory bavarar en
            continue;
        }
        int girl = mt[i];
        mt[girl] = -1;
        mt[i] = -1;
        while(ans <= n) {
            frrj(1, 1 + n) used[j] = 0;
            if(kuhn(girl, i + 1, ans)) {
                answ += n - ans + 1;
                break;
            }
            ans++;
        }
        if(ans == n + 1) break;
    }
    cout << answ;
    return 0;
}

//	           ♥ ♥ ♥  ♥  ♥    ♥   ♥    ♥
//	           ♥      ♥  ♥     ♥ ♥    ♥ ♥
//	           ♥ ♥ ♥  ♥  ♥      ♥    ♥   ♥
//	           ♥      ♥  ♥      ♥   ♥ ♥ ♥ ♥
//	           ♥      ♥  ♥ ♥ ♥  ♥  ♥       ♥
//
//        God loves Fil, Fil accepts God's will

• Subtask 1: 100 / 100