Submission #499807

#	Time	Username	Problem	Language	Result	Execution time	Memory
499807		mewnian	Knapsack (NOI18_knapsack)	C++14	73 / 100	1097 ms	3912 KiB

knapsack

//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")
//#pragma GCC target("avx,avx2,fma")

#include <bits/stdc++.h>
#define sze(x) (ll) x.size()
#define idx(x, a) get<x>(a)
#define LID(x) (x << 1LL)
#define RID(x) (x << 1LL) + 1LL
#define ID(x) (x + MAXN)
#define CONV(x) (x - MAXN)
#define countbit(x) __builtin_popcountll(x)
#define pb push_back
#define mp make_pair
#define x first
#define y second

using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<ll, ll> pi;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

ll rand(ll l, ll r)
{
    return uniform_int_distribution<ll>(l, r)(rng);
}

const ll MAXN = 100'003;
const ll MAXS = 2003;
const ll INF = 1e18;
const ld EPS = 1e-9;

ll n, s, v[MAXN], w[MAXN], k[MAXN];
ll dp0[MAXS], dp1[MAXS];

void solve()
{
    fill(dp0, dp0 + s + 1, 0);
    for (ll i = 1; i <= n; ++i)
    {
        vector< deque<ll> > q(w[i]);
        for (ll sn = 0; sn <= s; ++sn)
        {
            dp0[sn] -= (sn / w[i]) * v[i];
            ll grp = sn % w[i], bnd = sn - k[i] * w[i];
            while (!q[grp].empty() && q[grp].front() < bnd) q[grp].pop_front();
            while (!q[grp].empty() && dp0[q[grp].back()] < dp0[sn]) q[grp].pop_back();
            ll lev = (sn / w[i]) * v[i];
            if (!q[grp].empty()) dp1[sn] = lev + dp0[q[grp].front()];
//            cerr << dp1[sn] << " ";
            q[grp].push_back(sn);
        }
        for (ll sn = 0; sn <= s; ++sn) dp0[sn] = dp1[sn];
//        cerr << endl;
    }
    cout << dp1[s];
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    #ifdef OFFLINE
    freopen("input.inp", "r", stdin);
    #endif
    cin >> s >> n;
    for (ll i = 1; i <= n; ++i) cin >> v[i] >> w[i] >> k[i];
    solve();
}

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