Submission #384061

# Submission time Handle Problem Language Result Execution time Memory
384061 2021-03-31T09:53:44 Z Drew_ Split the sequence (APIO14_sequence) C++14
100 / 100
1411 ms 81516 KB
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
 
#pragma GCC target ("avx2")
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("unroll-loops")
 
#define ll long long
#define pb push_back
 
const int MAX = 1e5 + 7;
 
int n;
ll pfx[MAX];
ll dp[2][MAX];
int par[201][MAX];
void rc(int k, int l, int r, int optL, int optR)
{
	if (l > r)
		return;
 
	int mid = (l + r) / 2;
	ll optVal = -1, optIdx = -1;
 
	for (int i = optL; i <= mid && i <= optR; ++i)
	{
		//segment [i, n], cut at mid
		ll v = dp[(k+1)&1][i-1] + (pfx[mid] - pfx[i-1]) * (pfx[n] - pfx[mid]);
		if (v > optVal)
		{
			optVal = v;
			optIdx = i;
		}
	}
 
	dp[k&1][mid] = optVal;
	par[k][mid] = optIdx;
 
	rc(k, l, mid-1, optL, optIdx);
	rc(k, mid+1, r, optIdx, optR);
}
 
int main()
{
	ios :: sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
 
	int k;
	cin >> n >> k;
 
	for (int i = 1; i <= n; ++i)
		cin >> pfx[i], pfx[i] += pfx[i-1];
 
	for (int i = 1; i <= n; ++i)
		dp[0][i] = 0;
 
	for (int i = 1; i <= k; ++i)
		rc(i, i, n, i, n);
 
	ll res = -1, idx = -1;
	for (int i = 1; i <= n; ++i)
	{
		if (res < dp[k&1][i])
			res = dp[k&1][i], idx = i;
	}
 
	vector<int> cut;
	cut.pb(idx);
	for (int j = k; j >= 2; --j)
		cut.pb(idx = par[j][idx] - 1);

	cout << res << '\n';
	for (int i = k-1; i >= 0; --i)
	{
		cout << cut[i];
		if (i) cout << " ";
	}
	cout << '\n';
 
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 364 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 364 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 364 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 364 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 364 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 364 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 364 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 364 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 364 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 364 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 364 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 364 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 364 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 364 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 620 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 364 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 364 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 364 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 492 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 364 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 364 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 364 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 364 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 364 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 1132 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1260 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1388 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 620 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 492 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 620 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 364 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 2028 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 364 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 13 ms 2028 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1772 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 2028 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2028 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 748 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 1004 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 748 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 748 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 54 ms 9324 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 748 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 84 ms 5868 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 72 ms 6764 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 59 ms 7148 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 40 ms 6016 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 61 ms 6892 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 78 ms 8576 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 23 ms 3820 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 24 ms 4076 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 544 ms 81516 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 20 ms 4332 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1411 ms 81292 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 835 ms 57892 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 635 ms 62060 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 488 ms 50924 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 630 ms 57964 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 835 ms 73452 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845