제출 #1201631

#제출 시각아이디문제언어결과실행 시간메모리
1201631spampotsKnapsack (NOI18_knapsack)C++20
12 / 100
0 ms328 KiB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pii> vpii;

const int MOD = 1e9 + 7;
const int INF = INT_MAX;
const ll LINF = LLONG_MAX;

#define fast ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL)

#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define all(v) v.begin(), v.end()
#define rep(i, a, b) for(int i = a; i < b; ++i)

bool comp(pii a, pii b){
    return a.fi*b.se > a.se*b.fi;
}
void solve() {
    int s, n;
    cin >> s >> n;
    vector<pair<int ,int>> f;
    rep(i, 0, n){
        int v ,w, k;
        cin >> v >> w >> k;
        int c(1);
        while(k > c && c*w <= s){
            k -= c;
            f.pb({c*w, c*v});
            c *= 2;
        }
        if(c*w <= s){
            f.pb({k*w, k*v});
        }
    }
    sort(f.begin(), f.end(), comp);
    vector<int> dp(s+1, -INF);
    dp[0] = 0;
    for (int i = 0; i < min(s*60, (int)f.size()); ++i)
        for (int j = s; j >= f[i].fi; --j) 
            dp[j] = max(dp[j], dp[j - f[i].fi] + f[i].se);
    int ans = 0;
    for (int i = 0; i <= s; ++i) {
        ans = max(ans, dp[i]);
    }
    cout << ans << endl;
}

int main() {
    fast;

    int t = 1;
    while(t--) {
        solve();
    }

    return 0;
}
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