Submission #243999

# Submission time Handle Problem Language Result Execution time Memory
243999 2020-07-02T12:40:23 Z islingr Split the sequence (APIO14_sequence) C++14
100 / 100
497 ms 81420 KB
#include <iostream>
using namespace std;
 
const int N = 1e5 + 5, K = 205;
int64_t f[2][N], a[N];
int opt[K][N], s[N];

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
 
	int n, k; cin >> n >> k;
	for (int i = 1; i <= n; ++i) cin >> a[i], a[i] += a[i - 1];
	for (int l = 1; l <= k; ++l) {
		auto c = [&](int j) { return f[(l & 1) ^ 1][j] - a[j] * a[j]; };
		auto val = [&](int j, int x) { return a[j] * x + c(j); };
		auto cross = [&](int i, int j, int k) {
			return (c(k) - c(i)) * (a[j] - a[i]) - (c(j) - c(i)) * (a[k] - a[i]);
		};
		int t = 0;
		for (int j = l; j <= n; ++j) {
			while (t > 1 && 0 <= cross(s[t - 1], s[t], j)) --t;
			s[++t] = j;
		}
		for (int i = l + 1, j = 1; i <= n; ++i) {
			while (s[j] < i && j < t && val(s[j], a[i]) < val(s[j + 1], a[i])) ++j;
			opt[l][i] = s[j];
			f[l & 1][i] = val(s[j], a[i]);
		}
	}
	cout << f[k & 1][n] << '\n';
	for (int v = n, l = k; v = opt[l--][v]; ) s[l] = v;
	for (int l = 0; l < k; ++l) cout << s[l] << ' ';
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:32:27: warning: suggest parentheses around assignment used as truth value [-Wparentheses]
  for (int v = n, l = k; v = opt[l--][v]; ) s[l] = v;
                         ~~^~~~~~~~~~~~~
# 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 4 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 4 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 4 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 4 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 4 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 5 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 4 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 4 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 4 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 4 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 4 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 4 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 1024 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 5 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 8 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 9 ms 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 2048 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 6 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 6 ms 1024 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 768 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 768 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 34 ms 9336 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 768 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 34 ms 5880 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 35 ms 6824 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 37 ms 7160 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 28 ms 5888 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 31 ms 6648 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 41 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 18 ms 4224 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 18 ms 4224 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 283 ms 81400 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 18 ms 4224 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 497 ms 81420 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 311 ms 57832 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 338 ms 61816 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 233 ms 50936 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 254 ms 57848 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 329 ms 73464 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845