Submission #530561

# Submission time Handle Problem Language Result Execution time Memory
530561 2022-02-25T20:23:34 Z Hanksburger Split the sequence (APIO14_sequence) C++17
100 / 100
556 ms 83808 KB
#include <bits/stdc++.h>
using namespace std;
long long dp[100005][2], a[100005];
int back[100005][205], deq[100005];
int main()
{
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	int n, k, cur;
	cin >> n >> k;
	for (int i=1; i<=n; i++)
	{
		long long x;
		cin >> x;
		a[i]=a[i-1]+x;
	}
	for (int i=1; i<=k+1; i++)
	{
		deq[0]=i-1;
		int ii=i&1, iii=(i&1)^1, l=0, r=1;
		for (int j=i; j<=n; j++)
		{
//			cout << "i j " << i << ' ' << j << '\n';
			if (r-l>=2)
			{
				int x=deq[l], y=deq[l+1];
				while (dp[y][iii]-dp[x][iii]>=(a[n]-a[j])*(a[y]-a[x]))
				{
					l++;
//					cout << "deq pop back, now only have " << r-l << '\n';
					if (r-l<2)
						break;
					x=deq[l];
					y=deq[l+1];
				}
			}
			dp[j][ii]=dp[deq[l]][iii]+(a[n]-a[j])*(a[j]-a[deq[l]]);
			back[j][i]=deq[l];
			if (r-l>=2)
			{
				int x=deq[r-2], y=deq[r-1];
				while ((dp[y][iii]-dp[x][iii])*(a[j]-a[y])<=(dp[j][iii]-dp[y][iii])*(a[y]-a[x]))
				{
					r--;
//					cout << "deq pop back, now only have " << r-l << '\n';
					if (r-l<2)
						break;
					x=deq[r-2];
					y=deq[r-1];
				}
			}
			deq[r]=j;
			r++;
//			cout << "deq push back " << j << ", now have " << r-l << '\n';
		}
	}
	cout << dp[n][(k+1)&1] << '\n';
	cur=n;
	for (int i=k+1; i>=2; i--)
	{
		cur=back[cur][i];
		deq[i]=cur;
	}
	for (int i=2; i<=k+1; i++)
		cout << deq[i] << ' ';
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 332 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 332 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 332 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 332 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 332 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 332 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 332 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 332 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 332 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 460 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 460 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 460 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 460 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 460 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 460 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 460 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 512 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1100 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 3 ms 1100 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1100 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 4 ms 1100 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 3 ms 1164 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 4 ms 1100 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 3 ms 1100 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 1 ms 1100 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 2 ms 1100 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8524 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 8524 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 30 ms 8524 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 8524 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 38 ms 8632 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 29 ms 8632 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 33 ms 8524 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 21 ms 8620 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 26 ms 8632 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 31 ms 8620 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 42 ms 83088 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 50 ms 83396 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 431 ms 83784 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 45 ms 83756 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 556 ms 83396 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 329 ms 83396 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 376 ms 83808 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 279 ms 83648 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 298 ms 83592 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 351 ms 83592 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845