제출 #764488

#제출 시각아이디문제언어결과실행 시간메모리
764488Peter2017Knapsack (NOI18_knapsack)C++14
37 / 100
2 ms468 KiB
#include <bits/stdc++.h> #define fi first #define se second #define ll long long #define pii pair<int,int> #define pll pair<ll,ll> #define pill pair<int,ll> #define mem(a, b) memset(a, b, sizeof(a)) #define MASK(i) (1LL << (i)) #define BIT(x, i) (((x) >> (i)) & 1) using namespace std; const int N = 1e5 + 5; const int S = 2e3 + 5; const ll oo = 1e17; template <typename T1, typename T2> bool maxi(T1 &a, T2 &b){if (a < b){a = b; return 1;} return 0;} template <typename T1, typename T2> bool mini(T1 &a, T2 &b){if (a > b){a = b; return 1;} return 0;} int n, s; int v[N], w[N], k[N]; bool ar; long long f[2][S], ans; // ll btr(int i, int s_used){ // if (s_used > s) return -oo; // if (i == n + 1) return 0; // ll &res = f[i][s_used]; // if (res != -1) return res; // int l = 1, r = k[i]; // res = btr(i + 1, s_used); // ll compare; // while(l <= r){ // int m = (l + r) >> 1; // compare = btr(i + 1, s_used + w[i] * m) + v[i] * m; // if (maxi(res, compare)){ // l = m + 1; // } else r = m - 1; // } // return res; // } int main(){ cin.tie(0)->sync_with_stdio(0); cin >> s >> n; for (int i = 1; i <= n; i++){ cin >> v[i] >> w[i] >> k[i]; } // mem(f, -1); // cout << btr(1, 0); for (int i = 1; i <= n; i++){ ar ^= 1; for (int j = 0; j <= s; j++){ f[ar][j] = f[ar ^ 1][j]; int l = 1, r = k[i]; while (l <= r){ int m = (l + r) >> 1; if (w[i] * m > j){ r = m - 1; continue; } ll tmp = f[ar ^ 1][j - w[i] * m] + 1ll * v[i] * m; if (maxi(f[ar][j], tmp)){ l = m + 1; } else r = m - 1; } } } for (int j = 0; j <= s; j++) maxi(ans, f[ar][j]); cout << ans; }
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