Submission #212747

# Submission time Handle Problem Language Result Execution time Memory
212747 2020-03-24T08:47:10 Z kig9981 Split the sequence (APIO14_sequence) C++17
100 / 100
1528 ms 81112 KB
#include <bits/stdc++.h>

#ifdef NON_SUBMIT
#define TEST(n) (n)
#else
#define TEST(n) ((void)0)
#endif

using namespace std;

int PS[100001], P[201][100001];
long long D[2][100001];

void solve(int k, int l, int r, int s, int e)
{
	if (l > r || s > e) return;
	int m = (s + e) >> 1, L = min(m, r);
	D[k & 1][m] = 0x7fffffffffffffffLL;
	for (int i = l; i <= L; i++) {
		if (D[k & 1][m] > D[(k - 1) & 1][i] + 1LL * (PS[m] - PS[i])*(PS[m] - PS[i])) {
			D[k & 1][m] = D[(k - 1) & 1][i] + 1LL * (PS[m] - PS[i])*(PS[m] - PS[i]);
			P[k][m] = i;
		}
	}
	solve(k, l, P[k][m], s, m - 1);
	solve(k, P[k][m], r, m + 1, e);
}

int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL); cout.tie(NULL);
	TEST(freopen("input.txt", "r", stdin));
	TEST(freopen("output.txt", "w", stdout));
	int N, K;
	cin >> N >> K;
	for (int i = 1; i <= N; i++) {
		cin >> PS[i];
		PS[i] += PS[i - 1];
		D[0][i] = 1LL * PS[i] * PS[i];
	}
	for (int i = 1; i <= K; i++) {
		solve(i, i, N, i, N);
	}
	cout << (1LL * PS[N] * PS[N] - D[K & 1][N]) / 2 << '\n';
	for (; K; K--) {
		cout << P[K][N] << ' ';
		N = P[K][N];
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 5 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 5 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 5 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 5 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 5 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 5 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 5 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 4 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 4 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 5 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 4 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 5 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 5 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 5 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 5 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 5 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 5 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 6 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 7 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 1280 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 640 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 640 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 2048 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 15 ms 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 13 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 2048 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 7 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 10 ms 1024 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 9 ms 768 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 692 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 74 ms 9332 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 768 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 84 ms 5752 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 80 ms 6648 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 77 ms 7164 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 61 ms 5880 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 80 ms 6648 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 98 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 41 ms 3704 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 34 ms 3704 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 770 ms 81112 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 25 ms 3960 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1528 ms 80764 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 938 ms 57380 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 763 ms 61560 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 541 ms 50552 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 758 ms 57464 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1000 ms 73212 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845