# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
914298 | May27_th | Knapsack (NOI18_knapsack) | C++17 | 15 ms | 47860 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define int64_t long long
#define double long double
using namespace std;
using type = int64_t;
const long long mod = 998244353, inf = 1e18;
const int base = 33;
const int N = 2e5 + 10;
const int LG = 20;
int dx[] = {1, -1, 0, 0};
int dy[] = {0, 0, 1, -1};
void Minimize(int64_t &a, int64_t b) {if(b < a) a = b;}
void Maximize(int64_t &a, int64_t b) {if(b > a) a = b;}
void Add(int64_t& a, int64_t b) {a = a + b; a %= mod;}
void Dec(int64_t& a, int64_t b) {a = a - b + mod; a %= mod;}
int S, n; vector<pair<int64_t, int64_t>>items[3000]; int64_t f[3000][3000];
void Solve(void)
{
/**
item: v, w, k;
sort theo weight: 1 <= w <= S
voi moi weight chon toi da S/w thang gia tri nhat
f[i][j] la dung den cac thg weight i va dang co space j
f[i][j] = f[i - 1][j - w * t] + v * t;
**/
cin >> S >> n;
for(int i = 1; i <= n; i ++){
int64_t v, w, k; cin >> v >> w >> k;
items[w].push_back(make_pair(v, k));
}
for(int i = 1; i <= S; i ++){
for(int j = 0; j <= S; j ++){
f[i][j] = -inf;
}
}
f[0][0] = 0;
for(int i = 1; i <= S; i ++){
for(int j = 0; j <= S; j ++){
f[i][j] = f[i - 1][j];
}
int sz = items[i].size();
if(sz > 0){
sort(items[i].rbegin(), items[i].rend());
for(int j = 0; j <= S; j ++){
int64_t tot = 0;
int64_t space = j;
for(int z = 1; z <= min(sz, j/i); z ++){
int64_t v = items[i][z - 1].first;
int64_t k = items[i][z - 1].second;
int t = min(space/i, k);
tot = tot + v * t;
space = space - t * i;
if(space < i) break;
}
Maximize(f[i][j], f[i - 1][space] + tot);
}
}
}
cout << f[S][S];
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
if(fopen("time.in", "r")){
freopen("time.in", "r", stdin);
freopen("time.out", "w", stdout);
}
if(fopen("A.inp", "r")){
freopen("A.inp", "r", stdin);
freopen("A.out", "w", stdout);
}
int tc = 1;
//cin >> tc;
while(tc --){
Solve();
}
}
Compilation message (stderr)
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