Submission #596373

# Submission time Handle Problem Language Result Execution time Memory
596373 2022-07-14T16:03:15 Z kshitij_sodani Uplifting Excursion (BOI22_vault) C++14
40 / 100
2185 ms 16552 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];

llo cc[601];
llo 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;
	llo ma=0;
	llo acc=0;
	for(llo i=0;i<n;i++){
		llo aa;
		cin>>aa;
		cot+=aa;
		cc[i]=aa;
		acc+=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(llo i=0;i<=2*n;i++){
		ma=max(ma,cc[i]);
	}
	if(ma<=100 and n<=100 and (acc>0 or n>50)){

		llo xx=n*n*100;
		for(llo i=0;i<=2*xx;i++){
			dp[i]=-1;
		}
		dp[xx]=0;
		for(llo j=1;j<=n;j++){
			for(llo jj=0;jj<j;jj++){
				zz[jj].clear();
			}
			llo ax=j*cc[n-j];
			llo y=0;
			llo z=0;
			for(llo ii=0;ii<=2*xx;ii++){
			//	llo y=ii%j;
				if(dp[ii]>=0){
					pair<llo,llo> 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()){
					llo xx=zz[y].front().a+z;
					dp[ii]=max(dp[ii],xx);
				}
				y++;
				if(y==j){
					y=0;
					z++;
				}
			}

		}
		/*for(llo i=0;i<=2*xx;i++){
			if(dp[i]>=0){
				cout<<i-xx<<","<<dp[i]<<endl;
			}
		}*/
		for(llo i=0;i<=xx;i++){
			swap(dp[xx+i],dp[xx-i]);
		}
		for(llo j=1;j<=n;j++){
			for(llo jj=0;jj<j;jj++){
				zz[jj].clear();
			}
			llo ax=j*it[j];
			llo y=0;
			llo z=0;
			for(llo ii=0;ii<=2*xx;ii++){
			//	llo y=ii%j;
				if(dp[ii]>=0){
					pair<llo,llo> 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()){
					llo 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(llo 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(llo jj=0;jj<j;jj++){
				zz[jj].clear();
			}
			llo ax=j*min(it[j],n);
			llo y=0;
			llo z=0;
			for(llo ii=0;ii<=su3;ii++){
			//	llo y=ii%j;
				if(dp[ii]>=0){
					pair<llo,llo> 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()){
					llo 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;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 194 ms 4436 KB Output is correct
6 Correct 181 ms 4556 KB Output is correct
7 Correct 154 ms 4436 KB Output is correct
8 Correct 180 ms 4436 KB Output is correct
9 Correct 203 ms 4436 KB Output is correct
10 Correct 4 ms 576 KB Output is correct
11 Correct 5 ms 468 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 194 ms 4436 KB Output is correct
6 Correct 181 ms 4556 KB Output is correct
7 Correct 154 ms 4436 KB Output is correct
8 Correct 180 ms 4436 KB Output is correct
9 Correct 203 ms 4436 KB Output is correct
10 Correct 4 ms 576 KB Output is correct
11 Correct 5 ms 468 KB Output is correct
12 Correct 0 ms 468 KB Output is correct
13 Correct 0 ms 468 KB Output is correct
14 Correct 1 ms 532 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 187 ms 4436 KB Output is correct
17 Correct 168 ms 4460 KB Output is correct
18 Correct 150 ms 4452 KB Output is correct
19 Correct 167 ms 4436 KB Output is correct
20 Correct 244 ms 4696 KB Output is correct
21 Correct 4 ms 468 KB Output is correct
22 Correct 4 ms 468 KB Output is correct
23 Correct 1660 ms 16324 KB Output is correct
24 Correct 1565 ms 16292 KB Output is correct
25 Correct 1284 ms 16308 KB Output is correct
26 Correct 1980 ms 16552 KB Output is correct
27 Correct 2020 ms 16512 KB Output is correct
28 Correct 1149 ms 16160 KB Output is correct
29 Correct 1126 ms 16164 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 6 ms 616 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 22 ms 612 KB Output is correct
5 Correct 8 ms 596 KB Output is correct
6 Correct 31 ms 600 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 10 ms 572 KB Output is correct
10 Correct 13 ms 584 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 6 ms 616 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 22 ms 612 KB Output is correct
5 Correct 8 ms 596 KB Output is correct
6 Correct 31 ms 600 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 10 ms 572 KB Output is correct
10 Correct 13 ms 584 KB Output is correct
11 Correct 0 ms 468 KB Output is correct
12 Correct 0 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 0 ms 468 KB Output is correct
15 Correct 9 ms 608 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 23 ms 612 KB Output is correct
18 Correct 7 ms 596 KB Output is correct
19 Correct 29 ms 604 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 11 ms 596 KB Output is correct
23 Correct 12 ms 580 KB Output is correct
24 Incorrect 23 ms 620 KB Output isn't correct
25 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 6 ms 616 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 22 ms 612 KB Output is correct
5 Correct 8 ms 596 KB Output is correct
6 Correct 31 ms 600 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 10 ms 572 KB Output is correct
10 Correct 13 ms 584 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 7 ms 608 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 23 ms 616 KB Output is correct
15 Correct 7 ms 596 KB Output is correct
16 Correct 34 ms 596 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 11 ms 572 KB Output is correct
20 Correct 12 ms 468 KB Output is correct
21 Correct 4 ms 584 KB Output is correct
22 Correct 4 ms 468 KB Output is correct
23 Correct 17 ms 852 KB Output is correct
24 Correct 5 ms 752 KB Output is correct
25 Correct 40 ms 880 KB Output is correct
26 Correct 290 ms 1028 KB Output is correct
27 Correct 451 ms 852 KB Output is correct
28 Correct 156 ms 724 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 194 ms 4436 KB Output is correct
6 Correct 181 ms 4556 KB Output is correct
7 Correct 154 ms 4436 KB Output is correct
8 Correct 180 ms 4436 KB Output is correct
9 Correct 203 ms 4436 KB Output is correct
10 Correct 4 ms 576 KB Output is correct
11 Correct 5 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 6 ms 616 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 22 ms 612 KB Output is correct
16 Correct 8 ms 596 KB Output is correct
17 Correct 31 ms 600 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 10 ms 572 KB Output is correct
21 Correct 13 ms 584 KB Output is correct
22 Correct 0 ms 468 KB Output is correct
23 Correct 0 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 0 ms 468 KB Output is correct
26 Correct 9 ms 608 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 23 ms 612 KB Output is correct
29 Correct 7 ms 596 KB Output is correct
30 Correct 29 ms 604 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 11 ms 596 KB Output is correct
34 Correct 12 ms 580 KB Output is correct
35 Incorrect 23 ms 620 KB Output isn't correct
36 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 6 ms 616 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 22 ms 612 KB Output is correct
5 Correct 8 ms 596 KB Output is correct
6 Correct 31 ms 600 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 10 ms 572 KB Output is correct
10 Correct 13 ms 584 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 7 ms 608 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 23 ms 616 KB Output is correct
15 Correct 7 ms 596 KB Output is correct
16 Correct 34 ms 596 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 11 ms 572 KB Output is correct
20 Correct 12 ms 468 KB Output is correct
21 Correct 4 ms 584 KB Output is correct
22 Correct 4 ms 468 KB Output is correct
23 Correct 17 ms 852 KB Output is correct
24 Correct 5 ms 752 KB Output is correct
25 Correct 40 ms 880 KB Output is correct
26 Correct 290 ms 1028 KB Output is correct
27 Correct 451 ms 852 KB Output is correct
28 Correct 156 ms 724 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 6 ms 596 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 23 ms 620 KB Output is correct
33 Correct 7 ms 596 KB Output is correct
34 Correct 30 ms 604 KB Output is correct
35 Correct 2 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 13 ms 564 KB Output is correct
38 Correct 12 ms 584 KB Output is correct
39 Correct 4 ms 468 KB Output is correct
40 Correct 4 ms 468 KB Output is correct
41 Correct 21 ms 880 KB Output is correct
42 Correct 5 ms 724 KB Output is correct
43 Correct 37 ms 876 KB Output is correct
44 Correct 284 ms 988 KB Output is correct
45 Correct 495 ms 928 KB Output is correct
46 Correct 156 ms 740 KB Output is correct
47 Correct 1193 ms 16204 KB Output is correct
48 Correct 1134 ms 16176 KB Output is correct
49 Incorrect 2185 ms 16164 KB Output isn't correct
50 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 194 ms 4436 KB Output is correct
6 Correct 181 ms 4556 KB Output is correct
7 Correct 154 ms 4436 KB Output is correct
8 Correct 180 ms 4436 KB Output is correct
9 Correct 203 ms 4436 KB Output is correct
10 Correct 4 ms 576 KB Output is correct
11 Correct 5 ms 468 KB Output is correct
12 Correct 0 ms 468 KB Output is correct
13 Correct 0 ms 468 KB Output is correct
14 Correct 1 ms 532 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 187 ms 4436 KB Output is correct
17 Correct 168 ms 4460 KB Output is correct
18 Correct 150 ms 4452 KB Output is correct
19 Correct 167 ms 4436 KB Output is correct
20 Correct 244 ms 4696 KB Output is correct
21 Correct 4 ms 468 KB Output is correct
22 Correct 4 ms 468 KB Output is correct
23 Correct 1660 ms 16324 KB Output is correct
24 Correct 1565 ms 16292 KB Output is correct
25 Correct 1284 ms 16308 KB Output is correct
26 Correct 1980 ms 16552 KB Output is correct
27 Correct 2020 ms 16512 KB Output is correct
28 Correct 1149 ms 16160 KB Output is correct
29 Correct 1126 ms 16164 KB Output is correct
30 Correct 1 ms 468 KB Output is correct
31 Correct 6 ms 616 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 22 ms 612 KB Output is correct
34 Correct 8 ms 596 KB Output is correct
35 Correct 31 ms 600 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 10 ms 572 KB Output is correct
39 Correct 13 ms 584 KB Output is correct
40 Correct 0 ms 468 KB Output is correct
41 Correct 0 ms 468 KB Output is correct
42 Correct 1 ms 468 KB Output is correct
43 Correct 0 ms 468 KB Output is correct
44 Correct 9 ms 608 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 23 ms 612 KB Output is correct
47 Correct 7 ms 596 KB Output is correct
48 Correct 29 ms 604 KB Output is correct
49 Correct 1 ms 468 KB Output is correct
50 Correct 1 ms 468 KB Output is correct
51 Correct 11 ms 596 KB Output is correct
52 Correct 12 ms 580 KB Output is correct
53 Incorrect 23 ms 620 KB Output isn't correct
54 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 6 ms 616 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 22 ms 612 KB Output is correct
5 Correct 8 ms 596 KB Output is correct
6 Correct 31 ms 600 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 10 ms 572 KB Output is correct
10 Correct 13 ms 584 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 7 ms 608 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 23 ms 616 KB Output is correct
15 Correct 7 ms 596 KB Output is correct
16 Correct 34 ms 596 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 11 ms 572 KB Output is correct
20 Correct 12 ms 468 KB Output is correct
21 Correct 4 ms 584 KB Output is correct
22 Correct 4 ms 468 KB Output is correct
23 Correct 17 ms 852 KB Output is correct
24 Correct 5 ms 752 KB Output is correct
25 Correct 40 ms 880 KB Output is correct
26 Correct 290 ms 1028 KB Output is correct
27 Correct 451 ms 852 KB Output is correct
28 Correct 156 ms 724 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 6 ms 596 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 23 ms 620 KB Output is correct
33 Correct 7 ms 596 KB Output is correct
34 Correct 30 ms 604 KB Output is correct
35 Correct 2 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 13 ms 564 KB Output is correct
38 Correct 12 ms 584 KB Output is correct
39 Correct 4 ms 468 KB Output is correct
40 Correct 4 ms 468 KB Output is correct
41 Correct 21 ms 880 KB Output is correct
42 Correct 5 ms 724 KB Output is correct
43 Correct 37 ms 876 KB Output is correct
44 Correct 284 ms 988 KB Output is correct
45 Correct 495 ms 928 KB Output is correct
46 Correct 156 ms 740 KB Output is correct
47 Correct 1193 ms 16204 KB Output is correct
48 Correct 1134 ms 16176 KB Output is correct
49 Incorrect 2185 ms 16164 KB Output isn't correct
50 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 194 ms 4436 KB Output is correct
6 Correct 181 ms 4556 KB Output is correct
7 Correct 154 ms 4436 KB Output is correct
8 Correct 180 ms 4436 KB Output is correct
9 Correct 203 ms 4436 KB Output is correct
10 Correct 4 ms 576 KB Output is correct
11 Correct 5 ms 468 KB Output is correct
12 Correct 0 ms 468 KB Output is correct
13 Correct 0 ms 468 KB Output is correct
14 Correct 1 ms 532 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 187 ms 4436 KB Output is correct
17 Correct 168 ms 4460 KB Output is correct
18 Correct 150 ms 4452 KB Output is correct
19 Correct 167 ms 4436 KB Output is correct
20 Correct 244 ms 4696 KB Output is correct
21 Correct 4 ms 468 KB Output is correct
22 Correct 4 ms 468 KB Output is correct
23 Correct 1660 ms 16324 KB Output is correct
24 Correct 1565 ms 16292 KB Output is correct
25 Correct 1284 ms 16308 KB Output is correct
26 Correct 1980 ms 16552 KB Output is correct
27 Correct 2020 ms 16512 KB Output is correct
28 Correct 1149 ms 16160 KB Output is correct
29 Correct 1126 ms 16164 KB Output is correct
30 Correct 1 ms 468 KB Output is correct
31 Correct 6 ms 616 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 22 ms 612 KB Output is correct
34 Correct 8 ms 596 KB Output is correct
35 Correct 31 ms 600 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 10 ms 572 KB Output is correct
39 Correct 13 ms 584 KB Output is correct
40 Correct 0 ms 468 KB Output is correct
41 Correct 0 ms 468 KB Output is correct
42 Correct 1 ms 468 KB Output is correct
43 Correct 0 ms 468 KB Output is correct
44 Correct 9 ms 608 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 23 ms 612 KB Output is correct
47 Correct 7 ms 596 KB Output is correct
48 Correct 29 ms 604 KB Output is correct
49 Correct 1 ms 468 KB Output is correct
50 Correct 1 ms 468 KB Output is correct
51 Correct 11 ms 596 KB Output is correct
52 Correct 12 ms 580 KB Output is correct
53 Incorrect 23 ms 620 KB Output isn't correct
54 Halted 0 ms 0 KB -