Submission #540187

#	Time	Username	Problem	Language	Result	Execution time	Memory
540187		fcw	Knapsack (NOI18_knapsack)	C++17	73 / 100	134 ms	262144 KiB

knapsack

#include <bits/stdc++.h>
#define st first
#define nd second
using lint = int64_t;
constexpr int mod = int(1e9) + 7;
constexpr int inf = 0x3f3f3f3f;
constexpr int ninf = 0xcfcfcfcf;
constexpr lint linf = 0x3f3f3f3f3f3f3f3f;
const long double pi = acosl(-1.0);
// Returns -1 if a < b, 0 if a = b and 1 if a > b.
int cmp_double(double a, double b = 0, double eps = 1e-9) {
	return a + eps > b ? b + eps > a ? 0 : 1 : -1;
}
using namespace std;

template<typename T, T (*op)(const T&, const T&)> struct monotonic_queue {
    vector<T> as, aas;
    vector<T> bs, bbs;
    void reserve(int N) {
        as.reserve(N); aas.reserve(N);
        bs.reserve(N); bbs.reserve(N);
    }
    void reduce() {
        while (!bs.empty()) {
            as.push_back(bs.back());
            aas.push_back(aas.empty() ? bs.back() : op(bs.back(), aas.back()));
            bs.pop_back(); bbs.pop_back();
        }
    }
    T get() {
        if (as.empty()) reduce();
        return (bbs.empty() ? aas.back() : op(aas.back(), bbs.back()));
    }
    bool empty() const { return (as.empty() && bs.empty()); }
    int size() const { return int(as.size()) + int(bs.size()); }
    T front() {
        if (as.empty()) reduce();
        return as.back();
    }
    void push(const T& val) {
        bs.push_back(val);
        bbs.push_back(bbs.empty() ? val : op(bbs.back(), val));
    }
    void pop() {
        if (as.empty()) reduce();
        as.pop_back();
        aas.pop_back();
    }
};

// min/max
template<typename T> T mapping_max(const T& a, const T& b) {
	return max(a, b);
}
template<typename T> using max_queue = monotonic_queue<T, mapping_max>;

int main() {
	cin.tie(nullptr)->sync_with_stdio(false);
	//ifstream cin;
	//cin.open("feast.in");
	//ofstream cout;
	//cout.open("feast.out");
	int s, n;
	cin>>s>>n;
	vector<int>v(n), w(n), k(n);
	for(int i=0;i<n;i++) cin>>v[i]>>w[i]>>k[i];
	for(int i=0;i<n;i++) k[i] = min(k[i], s);
	vector<vector<int>>dp(n+1, vector<int>(s+1));
	for(int i=0;i<n;i++){
		for(int j=0;j<w[i];j++){
			max_queue<int>q;
			for(int l=j,c=0;l<=s;l+=w[i],c++){
				q.push(dp[i][l] - c * v[i]);
				dp[i+1][l] = q.get() + c * v[i];
				if(c >= k[i]) q.pop();
			}
		}
	}
	int ans = 0;
	for(int j=0;j<=s;j++) ans = max(ans, dp[n][j]);

	cout<<ans<<"\n";

}
/*
[  ]Leu o problema certo???
[  ]Ver se precisa de long long
[  ]Viu o limite dos fors (é n? é m?)
[  ]Tamanho do vetor, será que é 2e5 em vez de 1e5??
[  ]Testar sample
[  ]Testar casos de  borda
[  ]1LL no 1LL << i
[  ]Testar mod (é 1e9+7, mesmo?, será que o mod não ficou negativo?)
*/

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