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Submission #795839

# Submission time Handle Problem Language Result Execution time Memory
795839 2023-07-27T17:25:11 Z KLPP Knapsack (NOI18_knapsack) C++14
100 / 100
 232 ms 126240 KB 
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
 
using namespace std;
using namespace __gnu_pbds;
typedef long long int lld;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
#define rep(i,a,b) for(int i=a;i<b;i++)
#define trav(a,v) for(auto a:v)
const lld MOD=1e9+7;
const int MAX=3'000'000;
lld fact[MAX];
lld inv[MAX];
lld ModPow(lld base, lld exp){
	if(exp==0)return 1;
	if(exp%2==1)return (base*ModPow(base,exp-1))%MOD;
	lld a=ModPow(base,exp/2);
	return (a*a)%MOD;
}
lld comb(int a, int b){
	if(b<0 || b>a)return 0;
	lld ans=fact[a];
	ans*=inv[b];
	ans%=MOD;
	ans*=inv[a-b];
	ans%=MOD;
	return ans;
}
void solve(){
	int s,n;
	cin>>s>>n;
	vector<pair<lld,lld> >V;
	vector<vector<lld> >best(s+1);
	rep(i,0,n){
		lld v,w,k;
		cin>>v>>w>>k;
		while(k>0){
			int res=k%2;
			if(res==0)res=2;
			rep(j,0,res){
				V.push_back({v,w});
			}
			k-=res;
			k/=2;
			v*=2;
			w*=2;
		}
	}
	trav(a,V){
		if(a.second<=s){
			best[a.second].push_back(a.first);
		}
	}
	rep(i,0,s+1){
		sort(best[i].begin(),best[i].end());
		reverse(best[i].begin(),best[i].end());
		while((lld)(best[i].size())*(lld)i>s){
			best[i].pop_back();
		}
	}
	vector<lld> DP(s+1,0);
	rep(w,0,s+1){
		trav(v,best[w]){
			if(w<=s){
				for(lld i=s;i-w>=0;i--){
					DP[i]=max(DP[i],DP[i-w]+v);
				}
			}
		}
	}
	cout<<DP[s]<<"\n";
}

int main(){
	fact[0]=1;
	rep(i,1,MAX)fact[i]=(i*fact[i-1])%MOD;
	inv[MAX-1]=ModPow(fact[MAX-1],MOD-2);
	for(int i=MAX-2;i>-1;i--)inv[i]=((i+1)*inv[i+1])%MOD;
	ios::sync_with_stdio(0);
	cin.tie(0);
	int tt=1;
	while(tt--){
		solve();
	}
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 47244 KB Output is correct
2 Correct 49 ms 47236 KB Output is correct
3 Correct 49 ms 47224 KB Output is correct
4 Correct 49 ms 47224 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 47180 KB Output is correct
2 Correct 49 ms 47260 KB Output is correct
3 Correct 53 ms 47264 KB Output is correct
4 Correct 49 ms 47212 KB Output is correct
5 Correct 49 ms 47272 KB Output is correct
6 Correct 49 ms 47296 KB Output is correct
7 Correct 49 ms 47344 KB Output is correct
8 Correct 52 ms 47332 KB Output is correct
9 Correct 50 ms 47308 KB Output is correct
10 Correct 52 ms 47224 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 47180 KB Output is correct
2 Correct 49 ms 47260 KB Output is correct
3 Correct 53 ms 47264 KB Output is correct
4 Correct 49 ms 47212 KB Output is correct
5 Correct 49 ms 47272 KB Output is correct
6 Correct 49 ms 47296 KB Output is correct
7 Correct 49 ms 47344 KB Output is correct
8 Correct 52 ms 47332 KB Output is correct
9 Correct 50 ms 47308 KB Output is correct
10 Correct 52 ms 47224 KB Output is correct
11 Correct 48 ms 47168 KB Output is correct
12 Correct 49 ms 47308 KB Output is correct
13 Correct 49 ms 47268 KB Output is correct
14 Correct 48 ms 47252 KB Output is correct
15 Correct 49 ms 47284 KB Output is correct
16 Correct 49 ms 47264 KB Output is correct
17 Correct 49 ms 47272 KB Output is correct
18 Correct 49 ms 47248 KB Output is correct
19 Correct 50 ms 47244 KB Output is correct
20 Correct 49 ms 47260 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 47244 KB Output is correct
2 Correct 49 ms 47236 KB Output is correct
3 Correct 49 ms 47224 KB Output is correct
4 Correct 49 ms 47224 KB Output is correct
5 Correct 49 ms 47180 KB Output is correct
6 Correct 49 ms 47260 KB Output is correct
7 Correct 53 ms 47264 KB Output is correct
8 Correct 49 ms 47212 KB Output is correct
9 Correct 49 ms 47272 KB Output is correct
10 Correct 49 ms 47296 KB Output is correct
11 Correct 49 ms 47344 KB Output is correct
12 Correct 52 ms 47332 KB Output is correct
13 Correct 50 ms 47308 KB Output is correct
14 Correct 52 ms 47224 KB Output is correct
15 Correct 48 ms 47168 KB Output is correct
16 Correct 49 ms 47308 KB Output is correct
17 Correct 49 ms 47268 KB Output is correct
18 Correct 48 ms 47252 KB Output is correct
19 Correct 49 ms 47284 KB Output is correct
20 Correct 49 ms 47264 KB Output is correct
21 Correct 49 ms 47272 KB Output is correct
22 Correct 49 ms 47248 KB Output is correct
23 Correct 50 ms 47244 KB Output is correct
24 Correct 49 ms 47260 KB Output is correct
25 Correct 49 ms 47268 KB Output is correct
26 Correct 50 ms 47308 KB Output is correct
27 Correct 50 ms 47272 KB Output is correct
28 Correct 52 ms 47352 KB Output is correct
29 Correct 49 ms 47524 KB Output is correct
30 Correct 48 ms 47528 KB Output is correct
31 Correct 49 ms 47264 KB Output is correct
32 Correct 49 ms 47264 KB Output is correct
33 Correct 51 ms 47320 KB Output is correct
34 Correct 48 ms 47224 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 47244 KB Output is correct
2 Correct 49 ms 47236 KB Output is correct
3 Correct 49 ms 47224 KB Output is correct
4 Correct 49 ms 47224 KB Output is correct
5 Correct 49 ms 47180 KB Output is correct
6 Correct 49 ms 47260 KB Output is correct
7 Correct 53 ms 47264 KB Output is correct
8 Correct 49 ms 47212 KB Output is correct
9 Correct 49 ms 47272 KB Output is correct
10 Correct 49 ms 47296 KB Output is correct
11 Correct 49 ms 47344 KB Output is correct
12 Correct 52 ms 47332 KB Output is correct
13 Correct 50 ms 47308 KB Output is correct
14 Correct 52 ms 47224 KB Output is correct
15 Correct 48 ms 47168 KB Output is correct
16 Correct 49 ms 47308 KB Output is correct
17 Correct 49 ms 47268 KB Output is correct
18 Correct 48 ms 47252 KB Output is correct
19 Correct 49 ms 47284 KB Output is correct
20 Correct 49 ms 47264 KB Output is correct
21 Correct 49 ms 47272 KB Output is correct
22 Correct 49 ms 47248 KB Output is correct
23 Correct 50 ms 47244 KB Output is correct
24 Correct 49 ms 47260 KB Output is correct
25 Correct 49 ms 47268 KB Output is correct
26 Correct 50 ms 47308 KB Output is correct
27 Correct 50 ms 47272 KB Output is correct
28 Correct 52 ms 47352 KB Output is correct
29 Correct 49 ms 47524 KB Output is correct
30 Correct 48 ms 47528 KB Output is correct
31 Correct 49 ms 47264 KB Output is correct
32 Correct 49 ms 47264 KB Output is correct
33 Correct 51 ms 47320 KB Output is correct
34 Correct 48 ms 47224 KB Output is correct
35 Correct 69 ms 51712 KB Output is correct
36 Correct 190 ms 84820 KB Output is correct
37 Correct 72 ms 51692 KB Output is correct
38 Correct 68 ms 51656 KB Output is correct
39 Correct 159 ms 116096 KB Output is correct
40 Correct 190 ms 118256 KB Output is correct
41 Correct 83 ms 51392 KB Output is correct
42 Correct 82 ms 53020 KB Output is correct
43 Correct 97 ms 52860 KB Output is correct
44 Correct 89 ms 53428 KB Output is correct
45 Correct 187 ms 117728 KB Output is correct
46 Correct 178 ms 117432 KB Output is correct
47 Correct 197 ms 117800 KB Output is correct
48 Correct 181 ms 118020 KB Output is correct
49 Correct 164 ms 116816 KB Output is correct
50 Correct 232 ms 126240 KB Output is correct