Submission #15794

# Submission time Handle Problem Language Result Execution time Memory
15794 2015-07-28T16:35:15 Z conankun Split the sequence (APIO14_sequence) C++
100 / 100
975 ms 92424 KB
#include<iostream>
#include<vector>
#include<algorithm>
typedef long long ll;
using namespace std;
ll S[111111];
ll D[2][111111];
int bt[202][111111];
int N, K;

int qu[111111];
int main() {
	cin.sync_with_stdio(false);
	cout.sync_with_stdio(false);
	cin >> N >> K;
	int i,j, k;
	for (i = 1; i <= N; i++) {
		cin >> S[i];
		S[i] += S[i - 1];
	}
	for (k = 1; k <= K; k++) {
		int s = 1, e = 0, kg = k % 2, a=0,b=0;
		double gg=0,gg2=0;
		for (i = 1; i <= N; i++) {
			for (j = s; j <= e-1; j++) {
				a = qu[j], b = qu[j+1];
				if(S[a] == S[b])gg=0;
				else gg=(double)(D[1-kg][b] - D[1-kg][a] - S[b] * S[b] + S[a] * S[a]) / (S[a]-S[b]);
				if (gg <= S[i]) s++;
				else break;
			}
			j = qu[s];
			D[kg][i] = D[1-kg][j] + S[j] * (S[i] - S[j]);
			bt[k][i] = j;
			for (j = e; j > s; j--) {
				a = qu[j], b = qu[j-1];
				if(S[a] == S[b])gg=0;
				else gg=(double)(D[1-kg][b] - D[1-kg][a] - S[b] * S[b] + S[a] * S[a]) / (S[a]-S[b]);
				
				a = qu[j-1], b = i;
				if(a == b)gg2=0;
				else gg2=(double)(D[1-kg][b] - D[1-kg][a] - S[b] * S[b] + S[a] * S[a]) / (S[a]-S[b]);
				if (gg >= gg2) {
					e--;
				}
				else break;
			}
			qu[++e] = i;
		}
	}
	ll ans = D[K%2][N];
	cout << ans << endl;
	k = K; i = N;
	vector<int> btans;
	while (bt[k][i] != 0) {
		btans.push_back(bt[k][i]);
		i = bt[k][i];
		k--;
	}
	sort(btans.begin(), btans.end());
	k = btans.size();
	for (i = 0; i < k; i++) {
		cout << btans[i] << " ";
	}
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 108 == 108
2 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 999 == 999
3 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 0 == 0
4 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 1 == 1
7 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 1 == 1
8 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 1 == 1
9 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 805 == 805
16 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 92424 KB Output is correct - contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 92424 KB Output is correct - contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 4 ms 92424 KB Output is correct - contestant found the optimal answer: 679388326 == 679388326
6 Correct 3 ms 92424 KB Output is correct - contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 92424 KB Output is correct - contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 92424 KB Output is correct - contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 92424 KB Output is correct - contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 92424 KB Output is correct - contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 78 ms 92424 KB Output is correct - contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 0 ms 92424 KB Output is correct - contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 56 ms 92424 KB Output is correct - contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 65 ms 92424 KB Output is correct - contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 86 ms 92424 KB Output is correct - contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 63 ms 92424 KB Output is correct - contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 70 ms 92424 KB Output is correct - contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 73 ms 92424 KB Output is correct - contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 25 ms 92424 KB Output is correct - contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 25 ms 92424 KB Output is correct - contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 834 ms 92424 KB Output is correct - contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 24 ms 92424 KB Output is correct - contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 975 ms 92424 KB Output is correct - contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 671 ms 92424 KB Output is correct - contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 846 ms 92424 KB Output is correct - contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 613 ms 92424 KB Output is correct - contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 615 ms 92424 KB Output is correct - contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 796 ms 92424 KB Output is correct - contestant found the optimal answer: 124309619349406845 == 124309619349406845