Submission #1262346

#TimeUsernameProblemLanguageResultExecution timeMemory
1262346hiepsimauhongKnapsack (NOI18_knapsack)C++20
73 / 100
1090 ms3088 KiB
#include <bits/stdc++.h> using namespace std; using ll = long long; const int64_t oo = 1e9; #define int long long //#define float long double #define quickly ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0); #define FOR(I, L, R) for(int I(L) ; I <= (int)R ; ++I) #define FOD(I, R, L) for(int I(R) ; I >= (int)L ; --I) #define FOA(I, A) for(auto I : A) #define print(A,L,R) FOR(OK, L, R){if(A[OK]<=-oo||A[OK]>=oo)cout<<"- ";else cout<<A[OK]<<' ';}cout<<'\n'; #define prints(A) FOA(OK : A){cout<<OK<<' ';}cout << '\n'; #define printz(A,L,R) FOR(OK, 0, L){FOR(KO, 0, R){if(A[OK][KO]>-oo&&A[OK][KO]<oo)cout<<A[OK][KO]<<' ';else cout << "- ";} cout << '\n';}cout << '\n'; #define fs first #define sd second #define th second.second #define ii pair<int,int> #define iii pair<int, ii> #define all(A) A.begin(), A.end() const int N = 1e5 + 5; const int mod = 1e9; int n, s, SQRT; int v[N], w[N], a[N]; int dp[3][2005]; void add(int g, int i, int sl){ FOD(j, s, w[i] * sl){ dp[g][j] = max(dp[g][j], dp[g][j - w[i] * sl] + v[i] * sl); } } signed main(){ quickly cin >> s >> n; SQRT = sqrt(n); FOR(i, 1, n){ cin >> v[i] >> w[i] >> a[i]; } memset(dp, -0x3f, sizeof dp); dp[0][0] = dp[1][0] = dp[2][0] = 0; FOR(i, 1, SQRT){ int bit = 0; FOR(j, 0, 30){ if(a[i] >> j & 1) bit = j; } FOR(j, 0, bit - 1){ add(0, i, (1 << j)); } int x = a[i] - (1 << bit) + 1; add(0, i, x); } FOR(i, SQRT + 1, n){ int bit = 0; FOR(j, 0, 30){ if(a[i] >> j & 1) bit = j; } FOR(j, 0, bit - 1){ add(1, i, (1 << j)); } int x = a[i] - (1 << bit) + 1; add(1, i, x); } FOR(i, 1, s){ FOR(j, 0, i){ dp[2][i] = max(dp[2][i], dp[0][j] + dp[1][i - j]); } } cout << *max_element(dp[2], dp[2] + 1 + s); }
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