Submission #873133

#	Time	Username	Problem	Language	Result	Execution time	Memory
873133		Foolestboy	Knapsack (NOI18_knapsack)	C++14	73 / 100	1051 ms	15704 KiB

knapsack

#include <bits/stdc++.h>

#define SQR(x)    (1LL * ((x) * (x)))
#define MASK(i)   (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
#define fi        first
#define se        second
#define pb        push_back
#define all(x)    x.begin(), x.end()
#define rall(x)   x.rbegin(), x.rend()
#define sz(s)     (int)s.size()
#define prev      __prev
#define next      __next
#define left      __left
#define right     __right

#define mp make_pair
#define pii pair<int, int>
#define pll pair<ll, ll>
#define vi vector<int>
#define vll vector<ll>

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef unsigned int ui;

using namespace std;

const int mod = 1e9 + 7;
const int INF = 1e9 + 7;
const ll INFLL = (ll)2e18 + 7LL;
const ld PI = acos(-1);

const int dx[] = {1, -1, 0, 0, -1, 1, 1, -1};
const int dy[] = {0, 0, 1, -1, -1, -1, 1, 1};

template<class BUI, class TRONG>
    bool minimize(BUI &x, const TRONG y){
        if(x > y){
            x = y;
            return true;
        } else return false;
    }
template<class BUI, class TRONG>
    bool maximize(BUI &x, const TRONG y){
        if(x < y){
            x = y;
            return true;
        } else return false;
    }

/* Author : Bui Nguyen Duc Trong, Luong Van Chanh High School for the gifted*/
/* Template is copied by Trong */

                           /** Losing in Provincial Contests **/
                                    /** TRYING HARDER**/
                                   /**      ORZ     **/

/* -----------------[ MAIN CODE GOES HERE ]----------------- */

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const int N = 2020;

int n, S;
int f[2][N];

int cost(int prev, int x, int y, int W, int V){
    assert((x - y) % W == 0);
    return f[prev][y] + ((x - y) / W) * V;
}

int dq[N][N];
int L[N], R[N];

void solve(){
    cin >> S >> n;
    for(int i = 1; i <= n; i++){
        int ni = i & 1;
        int nj = (i - 1) & 1;
        for(int j = 0; j <= S; j++) f[ni][j] = 0;
        int V, W, K; cin >> V >> W >> K;
//        vector<deque<int>> dq(W);
        for(int j = 0; j < W; j++) L[j] = 1, R[j] = 0;
        for(int j = 0; j <= S; j++){
            int z = j % W;
            if(L[z] <= R[z] && j - dq[z][L[z]] > 1LL * K * W) L[z]++;
            while(L[z] <= R[z] && cost(nj, j, j, W, V) >= cost(nj, j, dq[z][R[z]], W, V)) R[z]--;
            dq[z][++R[z]] = j;
            f[ni][j] = cost(nj, j, dq[z][L[z]], W, V);
//            if(!dq[z].empty() && j - dq[z].front() > 1LL * K * W) dq[z].pop_front();
//            while(!dq[z].empty() && cost(nj, j, j, W, V) >= cost(nj, j, dq[z].back(), W, V)) dq[z].pop_back();
//            dq[z].push_back(j);
//            f[ni][j] = cost(nj, j, dq[z].front(), W, V);
        }
    }
    int ans = 0;
    for(int i = 1; i <= S; i++) maximize(ans, f[n & 1][i]);
    cout << ans << '\n';
}
/*
15 5
4 12 1
2 1 1
10 4 1
1 1 1
2 2 1
*/

signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);

    const bool multitest = 0;
    int tt = 1; if(multitest) cin >> tt;

    while( tt-- ){
        solve();
    }

    return 0;
}

• Subtask 1: 12 / 12
• Subtask 2: 17 / 17
• Subtask 3: 20 / 20
• Subtask 4: 24 / 24
• Subtask 5: 0 / 27