Submission #813438

# Submission time Handle Problem Language Result Execution time Memory
813438 2023-08-07T17:56:41 Z farhan132 Marriage questions (IZhO14_marriage) C++17
100 / 100
502 ms 4052 KB
/***Farhan132***/
// #pragma GCC optimize("Ofast,fast-math")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma")
// #pragma GCC optimization ("unroll-loops")

#include <bits/stdc++.h>

using namespace std;
 
typedef long long ll;
typedef double dd;
typedef pair<ll , ll> ii;
typedef tuple < ll,  ll, ll > tp;
 
#define ff first
#define ss second
#define pb push_back
#define in insert
#define bug printf("**!\n")
#define mem(a , b) memset(a, b ,sizeof(a))
#define front_zero(n) __builtin_clz(n)
#define back_zero(n) __builtin_ctzll(n)
#define total_one(n) __builtin_popcount(n)
#define clean fflush(stdout)
 
const ll mod =  (ll) 998244353;
// const ll mod =  (ll) 1e9 + 7;
const ll inf = numeric_limits<int>::max()-5;
const ll INF = (ll)2e18;
 
ll dx[]={0,1,0,-1};
ll dy[]={1,0,-1,0};
ll dxx[]={0,1,0,-1,1,1,-1,-1};
ll dyy[]={1,0,-1,0,1,-1,1,-1};
 
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
 
#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>;

const ll N = 32005;

ll mt[N], vis[N];
vector < ll > v[N];

bool kuhn(ll node, ll L, ll R){
    if(vis[node]) return 0;
    vis[node] = 1;
    for(auto u : v[node]){
        if(u < L || u > R) continue;
        if(mt[u] == -1 || kuhn(mt[u], L, R)){
            mt[u] = node;
            return 1;
        }
    }
    return 0;
}

ll T(ll x){
    return (x * (x + 1)) / 2;
}

void solve(){

    ll n, m, k; cin >> n >> m >> k;

    for(ll i = 1; i <= k; i++){
        ll x, y; cin >> x >> y;
        v[x + m].pb(y);
        v[y].pb(x + m);
    }

    ll l = 1, r = n;
    k = n + 1;

    while(l <= r){
        ll mid = (l + r) / 2;
        mem(mt, -1); bool f = 1;
        for(ll i = 1; i <= m; i++){
            for(ll j = 1; j <= m; j++) vis[j] = 0;
            if(!kuhn(i, m + 1, m + mid)){
                f = 0;
                break;
            } 
        }
        if(f == 0){
            l = mid + 1;
        }else{
            k = mid;
            r = mid - 1;
        }
    }
    if(k == n + 1){
        cout << "0\n";
        return;
    }
    mem(mt, -1);
    for(ll i = 1; i <= m; i++){
        for(ll j = 1; j <= m; j++) vis[j] = 0;
        kuhn(i, m + 1, m + k);
    }
    ll ans = n + 1 - k;

    for(ll i = 1; i < n; i++){
        if(mt[i + m] == -1){
            ans += n + 1 - k;
            continue;
        }
        ll node = mt[i + m]; mt[i + m] = -1;
        bool f = 0;
        while(k <= n){
            for(ll j = 1; j <= m; j++) vis[j] = 0;
            if(kuhn(node, m + i + 1, m + k)){
                f = 1;
                break;
            }
            k++;
        }
        if(!f) break;
        ans += n + 1 - k;
    }
    cout << ans << '\n';

    
    
   return;
}

int main() {

    #ifdef LOCAL
        freopen("in.txt", "r", stdin);
        freopen("out.txt", "w", stdout);
        auto start_time = clock();
    #else
         // freopen("subsequence.in", "r", stdin);
         // freopen("subsequence.out", "w", stdout); 
         ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL);
    #endif

    //precalc();
 
    ll T = 1, CT = 0; //cin >> T; 
 
    while(T--){
        // cout << "Case #" << ++CT << ": ";
        solve();
    }
    
    #ifdef LOCAL
        auto end_time = clock();
        cerr<< "Execution time: "<<(end_time - start_time)*(int)1e3/CLOCKS_PER_SEC<<" ms\n";
    #endif
 
    return 0;
} 

Compilation message

marriage.cpp: In function 'int main()':
marriage.cpp:146:15: warning: unused variable 'CT' [-Wunused-variable]
  146 |     ll T = 1, CT = 0; //cin >> T;
      |               ^~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1236 KB Output is correct
2 Correct 1 ms 1236 KB Output is correct
3 Correct 1 ms 1236 KB Output is correct
4 Correct 1 ms 1236 KB Output is correct
5 Correct 1 ms 1236 KB Output is correct
6 Correct 1 ms 1236 KB Output is correct
7 Correct 1 ms 1236 KB Output is correct
8 Correct 1 ms 1236 KB Output is correct
9 Correct 1 ms 1236 KB Output is correct
10 Correct 1 ms 1236 KB Output is correct
11 Correct 1 ms 1236 KB Output is correct
12 Correct 1 ms 1236 KB Output is correct
13 Correct 1 ms 1236 KB Output is correct
14 Correct 1 ms 1236 KB Output is correct
15 Correct 1 ms 1236 KB Output is correct
16 Correct 1 ms 1236 KB Output is correct
17 Correct 1 ms 1236 KB Output is correct
18 Correct 1 ms 1236 KB Output is correct
19 Correct 2 ms 1364 KB Output is correct
20 Correct 1 ms 1236 KB Output is correct
21 Correct 1 ms 1236 KB Output is correct
22 Correct 1 ms 1236 KB Output is correct
23 Correct 1 ms 1236 KB Output is correct
24 Correct 1 ms 1236 KB Output is correct
25 Correct 25 ms 1620 KB Output is correct
26 Correct 3 ms 1364 KB Output is correct
27 Correct 1 ms 1236 KB Output is correct
28 Correct 2 ms 1236 KB Output is correct
29 Correct 2 ms 1492 KB Output is correct
30 Correct 2 ms 1492 KB Output is correct
31 Correct 146 ms 2456 KB Output is correct
32 Correct 2 ms 1492 KB Output is correct
33 Correct 1 ms 1236 KB Output is correct
34 Correct 11 ms 1400 KB Output is correct
35 Correct 57 ms 3456 KB Output is correct
36 Correct 40 ms 3392 KB Output is correct
37 Correct 502 ms 2648 KB Output is correct
38 Correct 14 ms 3796 KB Output is correct
39 Correct 259 ms 1536 KB Output is correct
40 Correct 3 ms 1620 KB Output is correct
41 Correct 8 ms 1856 KB Output is correct
42 Correct 7 ms 2076 KB Output is correct
43 Correct 9 ms 2460 KB Output is correct
44 Correct 19 ms 3304 KB Output is correct
45 Correct 12 ms 2360 KB Output is correct
46 Correct 33 ms 3844 KB Output is correct
47 Correct 22 ms 3620 KB Output is correct
48 Correct 20 ms 3592 KB Output is correct
49 Correct 35 ms 4052 KB Output is correct
50 Correct 357 ms 1620 KB Output is correct