Submission #418888

#	Time	Username	Problem	Language	Result	Execution time	Memory
418888		usachevd0	Carnival Tickets (IOI20_tickets)	C++17	39 / 100	3094 ms	2097156 KiB

tickets

#include <bits/stdc++.h>
#ifndef LOCAL
    #include "tickets.h"
#endif

using namespace std;

#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define all(a) (a).begin(), (a).end()
#define Time (clock() * 1.0 / CLOCKS_PER_SEC)
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using ld = long double;
template<typename T1, typename T2> bool chkmin(T1& x, T2 y) {
    return y < x ? (x = y, true) : false;
}
template<typename T1, typename T2> bool chkmax(T1& x, T2 y) {
    return y > x ? (x = y, true) : false;
}
void debug_out() {
    cerr << endl;
}
template<typename T1, typename... T2> void debug_out(T1 A, T2... B) {
    cerr << ' ' << A;
    debug_out(B...);
}
template<typename T> void mdebug_out(T* a, int n) {
    for (int i = 0; i < n; ++i)
        cerr << a[i] << ' ';
    cerr << endl;
}
#ifdef LOCAL
    #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
    #define mdebug(a, n) cerr << #a << ": ", mdebug_out(a, n)
#else
    #define debug(...) 1337
    #define mdebug(a, n) 1337
#endif
template<typename T> ostream& operator << (ostream& stream, const vector<T>& v) {
    for (auto& e : v)
        stream << e << ' ';
    return stream;
}
template<typename T1, typename T2> ostream& operator << (ostream& stream, const pair<T1, T2>& p) {
    return stream << p.first << ' ' << p.second;
}


const ll INF64 = 1e18;
const int maxN = 1503;


void allocate_tickets(vector<vector<int>> cert);
ll find_maximum(int k, vector<vector<int>> X) {
    int n = X.size(), m = X[0].size();
    vector<pii> vals[n];
    vector<ll> pref[n], suff[n];
    for (int i = 0; i < n; ++i) {
        vals[i].resize(m);
        for (int j = 0; j < m; ++j)
            vals[i][j] = {X[i][j], j};
        sort(all(vals[i]));
        pref[i].assign(m + 1, 0);
        for (int j = 0; j < m; ++j)
            pref[i][j + 1] = pref[i][j] + vals[i][j].fi;
        suff[i].assign(m + 1, 0);
        for (int j = m - 1; j >= 0; --j)
            suff[i][j] = suff[i][j + 1] + vals[i][j].fi;
    }
    
    int need = n / 2 * k;
    vector<vector<ll>> dp(n + 1, vector<ll>(need + 1, -INF64));
    vector<vector<int>> p(n + 1, vector<int>(need + 1, -1));
    dp[0][0] = 0;
    for (int i = 0; i < n; ++i) {
        for (int l = 0; l <= k; ++l) {
            ll delta = suff[i][m - (k - l)] - pref[i][l];
            for (int s = l; s <= need; ++s) {
                if (chkmax(dp[i + 1][s], delta + dp[i][s - l])) {
                    p[i + 1][s] = l;
                }
            }
        }
    }
    ll ans = dp[n][need];
    int i = n - 1, s = need;
    vector<int> L(n);
    while (i != -1) {
        L[i] = p[i + 1][s];
        s -= L[i];
        --i;
    }
    vector<int> S(n);
    for (int i = 0; i < n; ++i)
        S[i] = k - L[i];
    vector<vector<int>> cert(n, vector<int>(m, -1));
    multiset<pii> pq;
    for (int i = 0; i < n; ++i)
        pq.insert({-L[i], i});
    for (int d = 0; d < k; ++d) {
        vector<int> small(n, 0);
        for (int t = 0; t < n / 2; ++t) {
            int i = pq.begin()->se;
            pq.erase(pq.begin());
            small[i] = 1;
        }
        for (int i = 0; i < n; ++i)
            if (small[i]) {
                int j = vals[i][--L[i]].se;
                cert[i][j] = d;
                pq.insert({-L[i], i});
            } else {
                int j = vals[i][m - S[i]].se;
                --S[i];
                cert[i][j] = d;
            }
    }
    allocate_tickets(cert);
    return ans;
}


#ifdef LOCAL

static int n;
static int m;
static int k;
static std::vector<std::vector<int>> d;
static std::vector<std::vector<int>> x;
static int called = 0;

static void check(bool cond, std::string message) {
    if (!cond) {
        printf("%s\n", message.c_str());
        exit(0);
    }
}


void allocate_tickets( std::vector<std::vector<int>> _d) {
    check(!called, "allocate_tickets called more than once");
    d = _d;
    check((int)d.size() == n, "allocate_tickets called with parameter of wrong size");
    for (int i = 0; i < n; i++) {
        check((int)d[i].size() == m, "allocate_tickets called with parameter of wrong size");
    }
    called = 1;
}

int main() {
    freopen("in", "r", stdin);
    
    assert(scanf("%d %d %d", &n, &m, &k) == 3);
    x.resize(n);
    for (int i = 0; i < n; i++) {
        x[i].resize(m);
        for (int j=0; j < m; j++) {
            assert(scanf("%d", &x[i][j]) == 1);
        }
    }
    fclose(stdin);

    long long answer = find_maximum(k, x);
    check(called, "failure to call allocate_tickets");
    printf("%lld\n", answer);
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            if (j) printf(" ");
            printf("%d", d[i][j]);
        }
        printf("\n");
    }
    fclose(stdout);
    return 0;
}


// int32_t main() {
//     #ifdef LOCAL
//         freopen("in", "r", stdin);
//     #endif
//     ios::sync_with_stdio(0);
//     cin.tie(0);
    
    
    
    
//     return 0;
// }
#endif

• Subtask 1: 11 / 11
• Subtask 2: 16 / 16
• Subtask 3: 0 / 14
• Subtask 4: 0 / 14
• Subtask 5: 12 / 12
• Subtask 6: 0 / 23
• Subtask 7: 0 / 10