#include<bits/stdc++.h>
#define _ ios_base::sync_with_stdio(0);cin.tie(0);
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
#define iiordered_set tree<pll, null_type,less<pll>, rb_tree_tag,tree_order_statistics_node_update>
using namespace std;
//Bit Functions
#define gcd __gcd
#define lsb __builtin_ffs
#define ldz __builtin_clz
#define tlz __builtin_ctz
#define stc __builtin_popcount
#define prtb(n) cout << bitset<20>(n) << "\n";
//Debugging
#define error(args...) { string _s = #args; replace(_s.begin(), _s.end(), ',', ' '); stringstream _ss(_s); istream_iterator<string> _it(_ss); err(_it, args); }
#define what_is(x) cerr << #x << " is " << x << endl;
void err(istream_iterator<string> it) {}
template<typename T, typename... Args>
void err(istream_iterator<string> it, T a, Args... args) {
cerr << *it << " = " << a << endl;
err(++it, args...);
}
//STL Declarations
#define vi vector<int>
#define vvi vector<vi>
#define vl vector<long long int>
#define vvl vector<vl>
#define vb vector<bool>
#define pii pair<int,int>
#define fr first
#define sc second
#define u_s unordered_set
#define ump unordered_map
#define ins insert
#define p_q(x) priority_queue<x>
//STL Functions
#define mt make_tuple
#define eb emplace_back
#define rep(i, begin, end) for (__typeof(end) i = (begin) - ((begin) > (end)); i != (end) - ((begin) > (end)); i += 1 - 2 * ((begin) > (end)))
#define muq make_unique
#define all(x) x.begin(),x.end()
#define rot(vec,k) rotate(vec.begin(), vec.begin() + k, vec.end());
#define bs(vec,key) binary_search(all(vec), key)
#define parti(vec,p) partition_point(all(vec), p) - vec.begin()
#define srt(cnt) sort(all(cnt))
#define lb(cnt,x) lower_bound(all(cnt),x)
#define ub(cnt,x) upper_bound(all(cnt),x)
#define mxm(cnt) *max_element(all(cnt))
#define mnm(cnt) *min_element(all(cnt))
#define mxmptr(cnt) max_element(all(cnt))
#define mnmptr(cnt) min_element(all(cnt))
#define rev(cnt) reverse(all(cnt))
#define accum(cnt) accumulate(all(cnt),0)
#define look(cnt) for(auto c:cnt) cout<<c<<" "; cout<<"\n";
#define pre(x,cont) find(all(cont),x)!=cont.end()
#define pb push_back
//Input Functions
template<class T> istream& operator >> (istream &is , vector<T> &v) { for(T &a : v) is >> a; return is; }
template<class T> ostream& operator << (ostream &os , const vector<T> &v) { for(const T &t : v) os << t<<" "; return os << endl; }
template<class T, class U> ostream& operator << (ostream &os , const pair<T, U> &v) { return os << v.first << " " << v.second ; }
typedef long long int ll;
ll mod = 10000000007;
//Generalised Sum Function
int sum() { return 0; }
template<typename T, typename... Args>
T sum(T a, Args... args) { return a + sum(args...); }
vector<int> seive(int N){
vector<bool> visited(N+1,false);
vi pr;
for(int i=2;i<=N;i++){
if(!visited[i]){
int j = i;
pr.pb(j);
while(j<=N){visited[j] = true;j+=i;}}}
return pr;
}
ll ceil(ll a,ll b){
if(b<0)a=-a,b=-b;
if(a>=0)return (a+b-1)/b;
return a/b;
}
long long bpow(long long a, long long b, long long m) {
a %= m;
long long res = 1;
while (b > 0) {
if (b & 1)res = res * a % m;
a = a * a % m;
b >>= 1;
}
return res;
}
ll inverse(ll a,ll m=mod)
{
return bpow(a,m-2,m);
}
vvl matmul(const vvl &a,const vvl &b,ll M=mod)
{
int n=a.size(),m=a[0].size(),l=b[0].size();
assert(m==b.size());
vvl c(n,vl(l,0));
rep(i,0,n)
rep(j,0,l)
rep(k,0,m)
{
c[i][j]=(c[i][j]+a[i][k]*b[k][j])%M;
}
return c;
}
vvl matpow(vvl a,ll p,ll M=mod)
{
assert(a.size()==a[0].size());
int n=a.size();
vvl res(n,vl(n,0));
rep(i,0,n) res[i][i]=1;
while(p>0)
{
if(p&1) res=matmul(res,a,M);
a=matmul(a,a,M);
p>>=1;
}
return res;
}
const ll COMBINATION_SIZE = 300005;
const ll MOD = 1e9+7;
struct Combination {
long long fac[COMBINATION_SIZE], inv[COMBINATION_SIZE];
bool built = 0;
void build(){
assert(MOD >= COMBINATION_SIZE);
fac[0] = 1;
for(int i = 1; i < COMBINATION_SIZE; i++) {
fac[i] = fac[i - 1] * i % MOD;
}
inv[COMBINATION_SIZE - 1] = inverse(fac[COMBINATION_SIZE - 1], MOD);
for(int i = COMBINATION_SIZE - 2; i >= 0; i--) {
inv[i] = inv[i + 1] * (i + 1) % MOD;
}
}
long long C(int x, int y){
if(y < 0 || y > x) {
return 0;
}
if(!built) {
built = 1;
build();
}
return fac[x] * inv[y] % MOD * inv[x-y] % MOD;
}
} comb;
void setIO(string s) { // the argument is the filename without the extension
freopen((s+".in").c_str(),"r",stdin);
freopen((s+".out").c_str(),"w",stdout);
}
#define inf 100000000000000LL
vector<pair<ll,ll>> W[2001];
pair<ll,ll> a[100005];
ll dp[2001];
int main(){ _
int s,n;cin >> s >> n;
rep(i,0,n){
ll v,w,k;cin >> v >> w >> k;
W[w].pb({v,k});
}
int ptr = 0;
for(int i=1;i<=2000;i++){
srt(W[i]);
int itr = 0;
int tak = 0;
while(itr<W[i].size() && tak*i<=s){
if(W[i][itr].sc == 0) {
itr++;
}
else{
a[++ptr] = {W[i][itr].fr,i};
W[i][itr].sc--;
tak++;
}
}
}
for(int i=1;i<=s;i++)
dp[i] = INT_MIN;
dp[0] = 0;
for(int i=1;i<=ptr;i++){
for(int w=s;w>=0;w--){
if(w+a[i].sc<=s)
dp[w+a[i].sc] = max(dp[w+a[i].sc],dp[w] + a[i].fr);
}
}
ll ans = INT_MIN;
for(int i=s;i>=0;i--)
ans = max(ans,dp[i]);
cout << ans << "\n";
return 0;
}
Compilation message
In file included from /usr/include/c++/10/ext/pb_ds/detail/pat_trie_/pat_trie_.hpp:45,
from /usr/include/c++/10/ext/pb_ds/detail/container_base_dispatch.hpp:90,
from /usr/include/c++/10/ext/pb_ds/assoc_container.hpp:48,
from knapsack.cpp:4:
knapsack.cpp: In function 'std::vector<std::vector<long long int> > matmul(const std::vector<std::vector<long long int> >&, const std::vector<std::vector<long long int> >&, ll)':
knapsack.cpp:111:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
111 | assert(m==b.size());
| ~^~~~~~~~~~
knapsack.cpp: In function 'int main()':
knapsack.cpp:186:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
186 | while(itr<W[i].size() && tak*i<=s){
| ~~~^~~~~~~~~~~~
knapsack.cpp: In function 'void setIO(std::string)':
knapsack.cpp:166:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
166 | freopen((s+".in").c_str(),"r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
knapsack.cpp:167:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
167 | freopen((s+".out").c_str(),"w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
332 KB |
Output is correct |
| 2 |
Correct |
1 ms |
380 KB |
Output is correct |
| 3 |
Correct |
1 ms |
332 KB |
Output is correct |
| 4 |
Correct |
1 ms |
332 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
1 ms |
332 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
1 ms |
332 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
332 KB |
Output is correct |
| 2 |
Correct |
1 ms |
380 KB |
Output is correct |
| 3 |
Correct |
1 ms |
332 KB |
Output is correct |
| 4 |
Correct |
1 ms |
332 KB |
Output is correct |
| 5 |
Incorrect |
1 ms |
332 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
332 KB |
Output is correct |
| 2 |
Correct |
1 ms |
380 KB |
Output is correct |
| 3 |
Correct |
1 ms |
332 KB |
Output is correct |
| 4 |
Correct |
1 ms |
332 KB |
Output is correct |
| 5 |
Incorrect |
1 ms |
332 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
