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Submission #596354

# Submission time Handle Problem Language Result Execution time Memory
596354 2022-07-14T15:53:04 Z kshitij_sodani Uplifting Excursion (BOI22_vault) C++14
20 / 100
 2203 ms 8500 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long llo;
#define a first
#define b second
#define pb push_back
#define endl '\n'


llo n,dd;
llo it[350];

int cc[601];
int dp[2000001];
deque<pair<llo,llo>> zz[301];
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cin>>n>>dd;

	llo cot=0;
	int ma=0;
	for(llo i=0;i<n;i++){
		llo aa;
		cin>>aa;
		cot+=aa;
		cc[i]=aa;

	}
	llo su=0;
	for(llo i=0;i<=n;i++){
		cin>>it[i];
		su+=it[i]*i;
		cot+=it[i];
		cc[n+i]=i;
	}
	for(int i=0;i<=2*n;i++){
		ma=max(ma,cc[i]);
	}
	if(ma<=100 and n<=100){

		int xx=n*n*100;
		for(int i=0;i<=2*xx;i++){
			dp[i]=-1;
		}
		dp[xx]=0;
		for(int j=1;j<=n;j++){
			for(int jj=0;jj<j;jj++){
				zz[jj].clear();
			}
			llo ax=j*cc[n-j];
			int y=0;
			int z=0;
			for(int ii=0;ii<=2*xx;ii++){
			//	int y=ii%j;
				if(dp[ii]>=0){
					pair<int,int> cur={dp[ii]-z,ii};
					while(zz[y].size()){
						if(zz[y].back().a<=cur.a){
							zz[y].pop_back();
						}
						else{
							break;
						}
					}
					zz[y].pb(cur);
				}
				while(zz[y].size()){
					if(zz[y].front().b<ii-ax){
						zz[y].pop_front();
					}
					else{
						break;
					}
				}
				if(zz[y].size()){
					int xx=zz[y].front().a+z;
					dp[ii]=max(dp[ii],xx);
				}
				y++;
				if(y==j){
					y=0;
					z++;
				}
			}

		}
		/*for(int i=0;i<=2*xx;i++){
			if(dp[i]>=0){
				cout<<i-xx<<","<<dp[i]<<endl;
			}
		}*/
		for(int i=0;i<=xx;i++){
			swap(dp[xx+i],dp[xx-i]);
		}
		for(int j=1;j<=n;j++){
			for(int jj=0;jj<j;jj++){
				zz[jj].clear();
			}
			llo ax=j*it[j];
			int y=0;
			int z=0;
			for(int ii=0;ii<=2*xx;ii++){
			//	int y=ii%j;
				if(dp[ii]>=0){
					pair<int,int> cur={dp[ii]-z,ii};
					while(zz[y].size()){
						if(zz[y].back().a<=cur.a){
							zz[y].pop_back();
						}
						else{
							break;
						}
					}
					zz[y].pb(cur);
				}
				while(zz[y].size()){
					if(zz[y].front().b<ii-ax){
						zz[y].pop_front();
					}
					else{
						break;
					}
				}
				if(zz[y].size()){
					int xx=zz[y].front().a+z;
					dp[ii]=max(dp[ii],xx);
				}
				y++;
				if(y==j){
					y=0;
					z++;
				}
			}
		}

		if(dd>xx or dd<-xx){
			cout<<"impossible"<<endl;
			return 0;
		}
		if(dp[xx+dd]==-1){
			cout<<"impossible"<<endl;
			return 0;
		}
		llo ans=dp[xx+dd];
		ans+=it[0];
		cout<<ans<<endl;

		return 0;
	}
	if(su<dd){
		cout<<"impossible"<<endl;
		return 0;
	}
	llo cur=su-dd;
	it[0]=0;
	llo ans=-1;
	for(llo i=1;i<=n;i++){
		llo su2=0;
		llo ac=0;
		for(llo j=i+1;j<=n;j++){
			llo xx=it[j]-n;
			if(xx<0){
				xx=0;
			}
			ac+=xx;
			su2+=xx*j;
		}
		if(su2>cur){
			continue;
		}
		llo su3=0;//n*n*n;
		for(llo j=1;j<i;j++){
			su3+=j*min(it[j],i);
		}
		for(llo j=i+1;j<=n;j++){
			su3+=j*min(it[j],n);
		}

		for(llo j=0;j<=su3;j++){
			dp[j]=-1;
		}
		dp[0]=0;
		su3=0;
		for(int j=1;j<=n;j++){
			if(j==i){
				continue;
			}
			if(j<i){
				su3+=j*min(it[j],i);
			}
			else{
				su3+=j*min(it[j],n);
			}
			for(int jj=0;jj<j;jj++){
				zz[jj].clear();
			}
			llo ax=j*min(it[j],n);
			int y=0;
			int z=0;
			for(int ii=0;ii<=su3;ii++){
			//	int y=ii%j;
				if(dp[ii]>=0){
					pair<int,int> cur={dp[ii]-z,ii};
					while(zz[y].size()){
						if(zz[y].back().a>=cur.a){
							zz[y].pop_back();
						}
						else{
							break;
						}
					}
					zz[y].pb(cur);
				}
				while(zz[y].size()){
					if(zz[y].front().b<ii-ax){
						zz[y].pop_front();
					}
					else{
						break;
					}
				}
				if(zz[y].size()){
					int xx=zz[y].front().a+z;
					if(dp[ii]==-1){
						dp[ii]=xx;
					}
					dp[ii]=min(dp[ii],xx);
				}
				y++;
				if(y==j){
					y=0;
					z++;
				}
			}

		}

		llo cur2=cur-su2;

		for(llo j=cur2%i;j<=su3 and j<=cur2;j+=i){
			if(dp[j]>=0){
				//if((cur2-j)%i==0){
					llo x=(cur2-j)/i;
					if(x<=it[i]){
						llo y=dp[j]+x;
						y+=ac;
						if(ans==-1){
							ans=y;
						}
						ans=min(ans,y);
					}
				//}
			}
		}

	}
	if(ans==-1){
		cout<<"impossible"<<endl;
	}
	else{
		//cout<<ans<<endl;
		cout<<cot-ans<<endl;
	}

	//else find minimum number of elements with sum su-dd










	return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 183 ms 2492 KB Output is correct
6 Correct 182 ms 2480 KB Output is correct
7 Correct 164 ms 2508 KB Output is correct
8 Correct 183 ms 2500 KB Output is correct
9 Correct 204 ms 2480 KB Output is correct
10 Correct 145 ms 2468 KB Output is correct
11 Correct 177 ms 2476 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 183 ms 2492 KB Output is correct
6 Correct 182 ms 2480 KB Output is correct
7 Correct 164 ms 2508 KB Output is correct
8 Correct 183 ms 2500 KB Output is correct
9 Correct 204 ms 2480 KB Output is correct
10 Correct 145 ms 2468 KB Output is correct
11 Correct 177 ms 2476 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 0 ms 468 KB Output is correct
14 Correct 0 ms 528 KB Output is correct
15 Correct 2 ms 596 KB Output is correct
16 Correct 179 ms 2488 KB Output is correct
17 Correct 178 ms 2496 KB Output is correct
18 Correct 158 ms 2468 KB Output is correct
19 Correct 174 ms 2496 KB Output is correct
20 Correct 207 ms 2476 KB Output is correct
21 Correct 149 ms 2472 KB Output is correct
22 Correct 145 ms 2388 KB Output is correct
23 Correct 1680 ms 8460 KB Output is correct
24 Correct 1690 ms 8492 KB Output is correct
25 Correct 1395 ms 8480 KB Output is correct
26 Correct 2177 ms 8500 KB Output is correct
27 Correct 2203 ms 8492 KB Output is correct
28 Correct 1145 ms 8348 KB Output is correct
29 Correct 1130 ms 8332 KB Output is correct

Subtask #3-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Incorrect 63 ms 1236 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #3-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Incorrect 63 ms 1236 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #4-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Incorrect 63 ms 1236 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #4-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 183 ms 2492 KB Output is correct
6 Correct 182 ms 2480 KB Output is correct
7 Correct 164 ms 2508 KB Output is correct
8 Correct 183 ms 2500 KB Output is correct
9 Correct 204 ms 2480 KB Output is correct
10 Correct 145 ms 2468 KB Output is correct
11 Correct 177 ms 2476 KB Output is correct
12 Correct 1 ms 596 KB Output is correct
13 Incorrect 63 ms 1236 KB Output isn't correct
14 Halted 0 ms 0 KB -

Subtask #5-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Incorrect 63 ms 1236 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #5-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 183 ms 2492 KB Output is correct
6 Correct 182 ms 2480 KB Output is correct
7 Correct 164 ms 2508 KB Output is correct
8 Correct 183 ms 2500 KB Output is correct
9 Correct 204 ms 2480 KB Output is correct
10 Correct 145 ms 2468 KB Output is correct
11 Correct 177 ms 2476 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 0 ms 468 KB Output is correct
14 Correct 0 ms 528 KB Output is correct
15 Correct 2 ms 596 KB Output is correct
16 Correct 179 ms 2488 KB Output is correct
17 Correct 178 ms 2496 KB Output is correct
18 Correct 158 ms 2468 KB Output is correct
19 Correct 174 ms 2496 KB Output is correct
20 Correct 207 ms 2476 KB Output is correct
21 Correct 149 ms 2472 KB Output is correct
22 Correct 145 ms 2388 KB Output is correct
23 Correct 1680 ms 8460 KB Output is correct
24 Correct 1690 ms 8492 KB Output is correct
25 Correct 1395 ms 8480 KB Output is correct
26 Correct 2177 ms 8500 KB Output is correct
27 Correct 2203 ms 8492 KB Output is correct
28 Correct 1145 ms 8348 KB Output is correct
29 Correct 1130 ms 8332 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Incorrect 63 ms 1236 KB Output isn't correct
32 Halted 0 ms 0 KB -

Subtask #6-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB Output is correct
2 Incorrect 63 ms 1236 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #6-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 183 ms 2492 KB Output is correct
6 Correct 182 ms 2480 KB Output is correct
7 Correct 164 ms 2508 KB Output is correct
8 Correct 183 ms 2500 KB Output is correct
9 Correct 204 ms 2480 KB Output is correct
10 Correct 145 ms 2468 KB Output is correct
11 Correct 177 ms 2476 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 0 ms 468 KB Output is correct
14 Correct 0 ms 528 KB Output is correct
15 Correct 2 ms 596 KB Output is correct
16 Correct 179 ms 2488 KB Output is correct
17 Correct 178 ms 2496 KB Output is correct
18 Correct 158 ms 2468 KB Output is correct
19 Correct 174 ms 2496 KB Output is correct
20 Correct 207 ms 2476 KB Output is correct
21 Correct 149 ms 2472 KB Output is correct
22 Correct 145 ms 2388 KB Output is correct
23 Correct 1680 ms 8460 KB Output is correct
24 Correct 1690 ms 8492 KB Output is correct
25 Correct 1395 ms 8480 KB Output is correct
26 Correct 2177 ms 8500 KB Output is correct
27 Correct 2203 ms 8492 KB Output is correct
28 Correct 1145 ms 8348 KB Output is correct
29 Correct 1130 ms 8332 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Incorrect 63 ms 1236 KB Output isn't correct
32 Halted 0 ms 0 KB -