Submission #1019123

# Submission time Handle Problem Language Result Execution time Memory
1019123 2024-07-10T13:47:37 Z GrindMachine Homecoming (BOI18_homecoming) C++17
100 / 100
985 ms 210660 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){
            ll f = i%n;
            ll 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 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 864 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 2 ms 604 KB Output is correct
9 Correct 2 ms 860 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 226 ms 52720 KB Output is correct
2 Correct 8 ms 1052 KB Output is correct
3 Correct 985 ms 210592 KB Output is correct
4 Correct 9 ms 2396 KB Output is correct
5 Correct 36 ms 3848 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 864 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 2 ms 604 KB Output is correct
9 Correct 2 ms 860 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 226 ms 52720 KB Output is correct
12 Correct 8 ms 1052 KB Output is correct
13 Correct 985 ms 210592 KB Output is correct
14 Correct 9 ms 2396 KB Output is correct
15 Correct 36 ms 3848 KB Output is correct
16 Correct 877 ms 210660 KB Output is correct
17 Correct 288 ms 40544 KB Output is correct
18 Correct 483 ms 49912 KB Output is correct
19 Correct 844 ms 112968 KB Output is correct
20 Correct 892 ms 194820 KB Output is correct
21 Correct 829 ms 113304 KB Output is correct