Submission #772916

#	Time	Username	Problem	Language	Result	Execution time	Memory
772916		GrindMachine	Olympiads (BOI19_olympiads)	C++17	0 / 100	110 ms	20348 KiB

olympiads

// Om Namah Shivaya

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a, b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a, b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*

knew beforehand that this problem could be solved using fracturing search
saw it here => https://usaco.guide/adv/fracturing-search?lang=cpp#other-problems

*/

const int MOD = 1e9 + 7;
const int N = 500 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
const int K = 6;

int n,k,c;
int a[N][K];

struct item {
    vector<int> v;
    int best = 0;

    void calc(){
        vector<int> curr;

        rep(i,n){
            if(v[i] != -1){
                curr.pb(i);
            }
        }        

        if(sz(curr) < k){
            best = 0;
            return;
        }

        vector<int> mx(k);
        trav(i,curr){
            rep(j,k){
                amax(mx[j],a[i][j]);
            }
        }

        best = 0;
        rep(j,k){
            best += mx[j];
        }

        vector<bool> done(k);
        int guys = 0;

        trav(i,curr){
            if(v[i] == 1){
                guys++;
                rep(j,k){
                    if(a[i][j] == mx[j]){
                        done[j] = 1;
                    }
                }
            }
        }

        trav(i,curr){
            if(guys == k) break;
            if(v[i] == 1) conts;

            rep(j,k){
                if(a[i][j] == mx[j] and !done[j]){
                    done[j] = 1;
                    v[i] = 1;
                }
            }

            if(v[i] == 1){
                guys++;
            }
        }        

        trav(i,curr){
            if(v[i] != 1 and guys < k){
                v[i] = 1;
                guys++;
            }
        }
    }

    item(){
        v = vector<int>(n);
        calc();
    }

    item(vector<int> v_){
        v = v_;
        calc();
    }
};

bool operator<(const item &x, const item &y){
    return x.best < y.best;
}

void solve(int test_case)
{
    cin >> n >> k >> c;
    rep(i,n) rep(j,k) cin >> a[i][j];

    priority_queue<item> pq;
    pq.push(item());

    rep1(id,c){
        assert(!pq.empty());

        auto curr = pq.top();
        pq.pop();

        if(id == c){
            cout << curr.best << endl;
            break;
        }

        vector<int> use;
        rep(i,n){
            if(curr.v[i] == 1){
                use.pb(i);
            }
        }

        assert(sz(use) == k);

        trav(i,use){
            curr.v[i] = -1;
            pq.push(item(curr.v));
            curr.v[i] = 1;
        }
    }
}

int main()
{
    fastio;

    int t = 1;
    // cin >> t;

    rep1(i, t) {
        solve(i);
    }

    return 0;
}

Compilation message (stderr)

olympiads.cpp: In member function 'void item::calc()':
olympiads.cpp:80:21: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   80 |         if(sz(curr) < k){
      |                     ^
In file included from /usr/include/c++/10/ext/pb_ds/detail/pat_trie_/pat_trie_.hpp:45,
                 from /usr/include/c++/10/ext/pb_ds/detail/container_base_dispatch.hpp:90,
                 from /usr/include/c++/10/ext/pb_ds/assoc_container.hpp:48,
                 from olympiads.cpp:4:
olympiads.cpp: In function 'void solve(int)':
olympiads.cpp:176:24: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  176 |         assert(sz(use) == k);
      |                        ^

• Subtask 1: 0 / 13
• Subtask 2: 0 / 31
• Subtask 3: 0 / 24
• Subtask 4: 0 / 32