Submission #909439

# Submission time Handle Problem Language Result Execution time Memory
909439 2024-01-17T08:11:16 Z rastervc Split the sequence (APIO14_sequence) C++17
100 / 100
309 ms 82200 KB
#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;

int n, k;
int where[201][100001];
ll pref[100001]{0}, dp[2][100001], q[100001], l = 1, r = 1;

bool case1(int x, int y, int i) {
	return (dp[0][y] - dp[0][x] >= (pref[y] - pref[x]) * (pref[n] - pref[i]));
}

bool case2(int x, int y, int i) {
	return ((dp[0][y] - dp[0][x]) * (pref[i] - pref[y]) <=
	        (dp[0][i] - dp[0][y]) * (pref[y] - pref[x]));
}

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cin >> n >> k;
	FOR(i, 1, n + 1) {
		int x;
		cin >> x;
		pref[i] = pref[i - 1] + x;
	}

	fill(dp[0], dp[0] + n + 1, 0);
	FOR(i, 1, k + 1) {
		q[r++] = 0;
		FOR(j, 1, n + 1) {
			while (r - l > 1 && case1(q[l], q[l + 1], j)) l++;

			ll x = q[l];
			dp[1][j] = dp[0][x] + (pref[j] - pref[x]) * (pref[n] - pref[j]);
			where[i][j] = x;

			while (r - l > 1 && case2(q[r - 2], q[r - 1], j)) r--;
			q[r++] = j;
		}
		l = r = 1;
		FOR(j, 1, n + 1) dp[0][j] = dp[1][j];
	}

	ll mx = -1;
	int indx = -1;
	FOR(i, 1, n + 1) {
		if (dp[0][i] > mx) mx = dp[0][i], indx = i;
	}
	cout << mx << '\n';
	FOR(i, 0, k) {
		cout << indx << ' ';
		indx = where[k - i][indx];
	}
	cout << '\n';
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4564 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 2396 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 2396 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 4440 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 6492 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 2392 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 4444 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 4444 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 4440 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 4444 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 4440 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 4444 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 4444 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 4440 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 4444 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4444 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 4560 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 4 ms 20952 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 4440 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 6488 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 4444 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 12640 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 6500 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 4444 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 8656 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4440 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 4700 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 12 ms 78352 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 4444 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 8 ms 57940 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 11 ms 72284 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 12 ms 78428 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 18780 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 3 ms 12636 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 4 ms 24924 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 4444 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 13 ms 78428 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 4444 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 14 ms 78408 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 13 ms 68164 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 14 ms 78408 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 13 ms 78432 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 5 ms 18780 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 7 ms 33112 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4696 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 4696 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 27 ms 78680 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 4700 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 28 ms 49920 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 27 ms 57948 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 30 ms 62300 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 20 ms 49924 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 24 ms 58200 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 29 ms 72532 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 9 ms 6492 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 9 ms 6492 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 167 ms 82200 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 10 ms 6744 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 309 ms 81976 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 193 ms 59904 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 217 ms 64504 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 140 ms 52084 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 153 ms 60020 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 184 ms 74392 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845