Submission #1320609

#TimeUsernameProblemLanguageResultExecution timeMemory
1320609tkm_algorithmsKnapsack (NOI18_knapsack)C++20
73 / 100
1095 ms2772 KiB
#include <bits/stdc++.h> using namespace std; using ll = long long; #define int ll using P = pair<int, int>; #define all(x) x.begin(), x.end() #define rep(i, l, n) for (int i = l; i < (n); ++i) #define sz(x) (int)x.size() const char nl = '\n'; const int mod = 1e9+7; struct node { int v, w, k; }; void solve() { int s, n; cin >> s >> n; vector<node> a(n); for (auto &i: a)cin >> i.v >> i.w >> i.k; sort(all(a), [](const node& x, const node& y) { return x.v > y.v; }); int dp[2][s+1]; memset(dp, 0, sizeof dp); int sum =0, now = 1; rep(i, 0, n) { sum += a[i].w*a[i].k; for (int j = min(s, sum); j >= 1; --j)dp[now][j] = dp[1-now][j]; for (int k = s-a[i].w; k >= 0; k--) { for (int p = (k+a[i].w); p <= min(sum, s); p += a[i].w) { int mn = min((p-k)/a[i].w, a[i].k); dp[now][p] = max(dp[now][p], (i-1>=0?dp[1-now][k]:0ll)+mn*a[i].v); if ((p-k)/a[i].w >= a[i].k)break; } } rep(j, 1, min(s, sum)+1)dp[now][j] = max(dp[now][j], dp[now][j-1]); //} now = 1-now; } int res = 0; rep(i, 0, s+1)res = max(res, dp[n%2][i]); cout << res << nl; } int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); solve(); return 0; }
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