Submission #484677

#	Time	Username	Problem	Language	Result	Execution time	Memory
484677		Qkake	Knapsack (NOI18_knapsack)	C++17	73 / 100	145 ms	262148 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;

typedef pair<int, int> pi;
typedef pair<ll, int> pli;
typedef pair<int, ll> pil;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;

typedef vector<int> vi;
typedef vector<bool> vb;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pli> vli;
typedef vector<pil> vil;

#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)

const int MOD = 1000000007; // 998244353
const ll INF = 1e18;
const int oo = 1000000007;
const int MX = 100001;
const ld PI = 4 * atan((ld)1);

int n, s;
vi v, w, t;
bool avai;
vpi val[MX]; set<int> p;

void solve() {
	cin >> s >> n;
	v.resize(n + 1); w.resize(n + 1); t.resize(n + 1); avai = false;
	for (int i = 1; i <= n; i++) { 
		cin >> v[i] >> w[i] >> t[i]; if (t[i] != 1) avai = true; 
		val[w[i]].pb({v[i], t[i]}); p.insert(w[i]);
	}

	if (!avai) {
		vector<vl> dp(n + 1, vl(s + 1, 0)); ll res = 0;
		for (int i = 0; i < n; i++) for (int j = 0; j <= s; j++) {
			dp[i + 1][j] = dp[i][j];
			if (j - w[i + 1] >= 0) dp[i + 1][j] = max(dp[i][j], dp[i][j - w[i + 1]] + v[i + 1]); 
		}
		for (int j = 0; j <= s; j++) res = max(res, dp[n][j]);
		cout << res; return;
	}

	vector<vl> dp(sz(p) + 1, vl(s + 1, 0));
	int i = 0;
	for (int wi = 0; wi <= s; wi++) if (sz(val[wi])) {
		vpi sta = val[wi]; sort(all(sta), greater<pi>());
		for (int j = 0; j <= s; j++) {
			dp[i + 1][j] = dp[i][j];
			int times = 1, cnt = 1, used = 0; ll value = 0;
			while (j - times * wi >= 0 && used < sz(sta)) {
				value += sta[used].f;
				dp[i + 1][j] = max(dp[i + 1][j], dp[i][j - times * wi] + value);
				if (cnt == sta[used].s) { used++; cnt = 0; }
				times++; cnt++;
			}
		}
		i++;
	}
	ll res = 0;
	for (int j = 0; j <= s; j++) res = max(res, dp[sz(p)][j]);
	cout << res;
}

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL); cout.tie(NULL);
	solve();
	return 0;
}

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