oj.uz

Submission #1016726

# Submission time Handle Problem Language Result Execution time Memory
1016726 2024-07-08T11:08:05 Z GrindMachine Homecoming (BOI18_homecoming) C++17
13 / 100
 127 ms 125476 KB 
#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

/*



*/

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"

ll solve(int n, int k, int *A, int *B){
    vector<int> a(n), b(n);
    rep(i,n) a[i] = A[i], b[i] = B[i];
    ll initial = 0;
    rep(i,n) initial += a[i]-b[i];
    ll ans = 0;

    mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
    ll rnd = rng()%n;
    rotate(a.begin(),a.begin()+rnd,a.end());
    rotate(b.begin(),b.begin()+rnd,b.end());
    
    // first win
    {
        vector<ll> p(n);
        rep(i,n){
            p[i] = a[i]+(i?p[i-1]:0);
        }

        ll dp[n][2];
        memset(dp,-0x3f,sizeof dp);
        dp[0][0] = 0;

        rep(i,n-1){
            // j = 0
            {
                // pass next guy
                amax(dp[i+1][0],dp[i][0]);

                // start a failing sequence
                if(i+k < n){
                    amax(dp[i+k][1],dp[i][0]+b[i+k]-p[i+k]+p[i]);
                }
            }

            // j = 1
            {
                // pass next guy
                amax(dp[i+1][0],dp[i][1]);

                // fail next guy
                amax(dp[i+1][1],dp[i][1]+b[i+1]-a[i+1]);
            }
        }

        ll mx = 0;
        rep(j,2) amax(mx,dp[n-1][j]);
        amax(ans,mx);
    }

    // first doesnt win => so blocking in [0..k-1]
    rep(cyc_shift,min(k,10)){
        if(cyc_shift){
            rotate(a.begin(),a.begin()+1,a.end());
            rotate(b.begin(),b.begin()+1,b.end());
        }
 
        vector<ll> p(n);
        ll curr_val = 0;

        rep(i,n){
            ll val = a[i];
            if(i == 0 or i >= n-k+1){
                val = 0;
                curr_val -= a[i];
            }
            p[i] = val+(i?p[i-1]:0);
        }
 
        curr_val += b[0];
        vector<ll> dp(n,-inf2);
        vector<ll> pmx1(n,-inf2), pmx2(n,-inf2);
        dp[0] = curr_val;
        pmx1[0] = dp[0]+p[0];
        pmx2[0] = dp[0];

        rep1(i,n-1){
            ll val1 = pmx1[i-1]+b[i]-p[i];
            ll val2 = -inf2;
            if(i-k >= 0){
                val2 = pmx2[i-k]+b[i]-(p[i]-p[i-k]);
            }

            dp[i] = max(val1,val2);
            pmx1[i] = max(pmx1[i-1],dp[i]+p[i]);
            pmx2[i] = max(pmx2[i-1],dp[i]);
        }
 
        amax(ans,*max_element(all(dp)));
    }

    ans += initial;
    amax(ans,0ll);
    return ans;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct

Subtask #2
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 772 KB Output is correct
7 Correct 1 ms 748 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Incorrect 1 ms 748 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #3
0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 31792 KB Output is correct
2 Correct 3 ms 344 KB Output is correct
3 Correct 127 ms 125476 KB Output is correct
4 Incorrect 4 ms 1608 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #4
0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 772 KB Output is correct
7 Correct 1 ms 748 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Incorrect 1 ms 748 KB Output isn't correct
10 Halted 0 ms 0 KB -