제출 #1315305

#제출 시각아이디문제언어결과실행 시간메모리
1315305chithanhnguyenKnapsack (NOI18_knapsack)C++20
100 / 100
39 ms2952 KiB
/* Author: Nguyen Chi Thanh - High School for the Gifted - VNU.HCM (i2528) */ #include <bits/stdc++.h> using namespace std; #define int long long #define ull unsigned long long #define ld long double #define pii pair<int, int> #define fi first #define se second #define __builtin_popcount __builtin_popcountll #define all(x) (x).begin(), (x).end() #define BIT(x, i) (((x) >> (i)) & 1) #define MASK(x) ((1ll << (x))) #define debug(a, l, r) for (int _i = (l); _i <= (r); ++_i) cout << (a)[_i] << ' '; cout << '\n'; const int MAXN = 3e4 + 5; const int MAXS = 2005; int s, n = 0, w[MAXN], v[MAXN]; vector<pii> items[MAXS]; void init() { int _n; cin >> s >> _n; for (int i = 1; i <= _n; ++i) { int val, weight, num; cin >> val >> weight >> num; items[weight].push_back({val, num}); } // Group items by weight for (int weight = 1; weight <= s; ++weight) { if (items[weight].empty()) continue; // Early break int target = s / weight; sort(all(items[weight]), greater<pii>()); vector<int> chosen; for (auto &info : items[weight]) { if (target == 0) break; int take = min(info.se, target); target -= take; for (int i = 1; i <= take; ++i) { v[++n] = info.fi; w[n] = weight; } } } } const int INF = 1e18 + 5; int dp[MAXS]; void solve() { fill(dp, dp + s + 1, -INF); dp[0] = 0; for (int i = 1; i <= n; ++i) for (int j = s; j >= w[i]; --j) if (dp[j - w[i]] != -INF) dp[j] = max(dp[j], dp[j - w[i]] + v[i]); cout << *max_element(dp, dp + s + 1); } signed main() { #ifdef NCTHANH freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif ios_base::sync_with_stdio(0); cin.tie(nullptr); cout.tie(nullptr); init(); solve(); return 0; }
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