Submission #1019116

# Submission time Handle Problem Language Result Execution time Memory
1019116 2024-07-10T13:42:13 Z GrindMachine Homecoming (BOI18_homecoming) C++17
62 / 100
1000 ms 212324 KB
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")

#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) (int)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(...) 42
#endif

/*

refs:
edi

*/

const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

#include "homecoming.h"

template<typename T>
struct segtree {
    // https://codeforces.com/blog/entry/18051

    /*=======================================================*/

    struct data {
        ll a[2][2];
        data(){
            rep(i,2) rep(j,2) a[i][j] = -inf2;
        }
    };

    data neutral = data();

    data merge(data &left, data &right) {
        data curr;
        
        rep(a,2){
            rep(b,2){
                amax(curr.a[a][b],left.a[a][b]);
                amax(curr.a[a][b],right.a[a][b]);

                rep(c,2){
                    amax(curr.a[a][c],left.a[a][b]+right.a[b][c]);
                }
            }
        }

        return curr;
    }

    void create(int i, T v) {
        auto [x,y] = v;
        tr[i].a[0][0] = max(x+y,0ll);
        tr[i].a[0][1] = x;
        tr[i].a[1][0] = y;
        tr[i].a[1][1] = -inf2;
    }

    void modify(int i, T v) {
        auto [x,y] = v;
        tr[i].a[0][0] = max(x+y,0ll);
        tr[i].a[0][1] = x;
        tr[i].a[1][0] = y;
        tr[i].a[1][1] = -inf2;
    }

    /*=======================================================*/

    int n;
    vector<data> tr;

    segtree() {

    }

    segtree(int siz) {
        init(siz);
    }

    void init(int siz) {
        n = siz;
        tr.assign(2 * n, neutral);
    }

    void build(vector<T> &a, int siz) {
        rep(i, siz) create(i + n, a[i]);
        rev(i, n - 1, 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
    }

    void pupd(int i, T v) {
        modify(i + n, v);
        for (i = (i + n) >> 1; i; i >>= 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
    }

    data query(int l, int r) {
        data resl = neutral, resr = neutral;

        for (l += n, r += n; l <= r; l >>= 1, r >>= 1) {
            if (l & 1) resl = merge(resl, tr[l++]);
            if (!(r & 1)) resr = merge(tr[r--], resr);
        }

        return merge(resl, resr);
    }
};

ll solve(int n, int k, int *A, int *B){
    // all subjects win (so all books taken)
    ll all_win = 0;
    rep(i,n) all_win += A[i]-B[i];

    ll ans = max(all_win,0ll);

    // at least 1 subject doesnt win (so at least 1 book not taken)
    segtree<pll> st(n);
    ll s = 0, cost2 = 0;
    rep(i,k) s += B[i];
    vector<pll> init(n);

    rep(i,2*n){
        if(i+k-1 < 2*n){
            if(i){
                s -= B[(i-1)%n];
                s += B[(i+k-1)%n];
            }
     
            ll cost1 = A[i%n]-s;
            cost2 += A[i%n]-B[(i+k-1)%n];
            cost1 -= cost2;
            if(i < n){
                init[i] = {cost1,cost2};
            }
            else{
                st.pupd(i%n,{cost1,cost2});
            }
        }

        if(i == n-1){
            st.build(init,n);
        }

        if(i >= n){
            int f = i%n;
            int l = f+1, r = f+n-k;
            if(l > r) conts;
            l %= n, r %= n;
            ll val = 0;
     
            if(l <= r){
                val = st.query(l,r).a[0][0];
            }
            else{
                auto d1 = st.query(l,n-1);
                auto d2 = st.query(0,r);
                val = st.merge(d1,d2).a[0][0];
            }

            amax(ans,val);
        }
    }

    return ans;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 456 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 456 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 456 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 456 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 2 ms 800 KB Output is correct
10 Correct 2 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 229 ms 52512 KB Output is correct
2 Correct 7 ms 856 KB Output is correct
3 Correct 966 ms 210004 KB Output is correct
4 Correct 8 ms 2396 KB Output is correct
5 Correct 34 ms 3924 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 456 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 456 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 2 ms 800 KB Output is correct
10 Correct 2 ms 344 KB Output is correct
11 Correct 229 ms 52512 KB Output is correct
12 Correct 7 ms 856 KB Output is correct
13 Correct 966 ms 210004 KB Output is correct
14 Correct 8 ms 2396 KB Output is correct
15 Correct 34 ms 3924 KB Output is correct
16 Correct 818 ms 212324 KB Output is correct
17 Correct 282 ms 40744 KB Output is correct
18 Correct 488 ms 51572 KB Output is correct
19 Correct 975 ms 113640 KB Output is correct
20 Execution timed out 1002 ms 195320 KB Time limit exceeded
21 Halted 0 ms 0 KB -