Submission #45711

# Submission time Handle Problem Language Result Execution time Memory
45711 2018-04-16T04:26:48 Z JohnTitor Split the sequence (APIO14_sequence) C++11
100 / 100
975 ms 85232 KB
#include <cstdio>
#include <algorithm>
using namespace std;
typedef long long ll;
#define N 100005
#define K 202

int n, k; ll cum[N];
ll curc[N], curm[N], curi[N], curlen, advc[N], advm[N], advi[N], advlen, dp;
int tr[K][N], ans[K];
void ins(ll c, ll m, ll i) {
	if (advlen && m == advm[advlen-1]) {
		if (c > advc[advlen-1]) advlen--;
		else return;
	}
	while (advlen >= 2 && (c - advc[advlen-2])/(advm[advlen-2] - m) > (c - advc[advlen-1])/(advm[advlen-1] - m)) advlen--;
	advc[advlen] = c; advm[advlen] = m; advi[advlen++] = i;
}
void swp() {
	swap(curc, advc); swap(curm, advm); swap(curi, advi); swap(curlen, advlen);
	advlen = 0;
}
int main() {
	
	scanf("%d %d", &n, &k);
	for (int i = 1; i <= n; i++) scanf("%lld", cum+i);
	for (int i = 1; i <= n; i++) cum[i] += cum[i-1];
	for (int i = 1; i <= n; i++) ins(-(cum[i]*cum[i]), cum[i], i);
	swp();
	for (int lay = 1; lay <= k; lay++) {
		int hllpnt = 0;
		for (int i = lay+1; i <= n; i++) {
			ll qx = cum[i];
			while (hllpnt+1 < curlen && curi[hllpnt+1] < i && curm[hllpnt]*qx + curc[hllpnt] <= curm[hllpnt+1]*qx + curc[hllpnt+1]) hllpnt++;
			dp = curm[hllpnt]*qx + curc[hllpnt];
			tr[lay][i] = curi[hllpnt];
			if (i < n) ins(dp - cum[i]*cum[i], cum[i], i);
		}
		swp();
	}
	printf("%lld\n", dp);
	int trn = n, trk = k;
	while (trk) {
		trn = tr[trk][trn]; 
		trk--;
		ans[trk] = trn;
	}	
	for (int i = 0; i < k; i++) printf("%d%c", ans[i], i==k-1 ? '\n' : ' ');

	return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:25:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d %d", &n, &k);
  ~~~~~^~~~~~~~~~~~~~~~~
sequence.cpp:26:36: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  for (int i = 1; i <= n; i++) scanf("%lld", cum+i);
                               ~~~~~^~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 10 ms 4984 KB contestant found the optimal answer: 108 == 108
2 Correct 8 ms 5220 KB contestant found the optimal answer: 999 == 999
3 Correct 7 ms 5220 KB contestant found the optimal answer: 0 == 0
4 Correct 9 ms 5236 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 11 ms 5236 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 7 ms 5288 KB contestant found the optimal answer: 1 == 1
7 Correct 7 ms 5288 KB contestant found the optimal answer: 1 == 1
8 Correct 8 ms 5288 KB contestant found the optimal answer: 1 == 1
9 Correct 8 ms 5288 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 8 ms 5288 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 8 ms 5288 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 10 ms 5288 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 9 ms 5288 KB contestant found the optimal answer: 140072 == 140072
14 Correct 8 ms 5288 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 9 ms 5288 KB contestant found the optimal answer: 805 == 805
16 Correct 8 ms 5288 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 8 ms 5288 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 9 ms 5324 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 10 ms 5324 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 28 ms 5460 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 8 ms 5460 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 13 ms 5460 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 10 ms 5460 KB contestant found the optimal answer: 933702 == 933702
7 Correct 23 ms 5460 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 12 ms 5460 KB contestant found the optimal answer: 687136 == 687136
9 Correct 10 ms 5460 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 13 ms 5460 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 10 ms 5460 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 8 ms 5460 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 94 ms 6360 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 9 ms 6360 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 67 ms 6360 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 89 ms 6360 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 95 ms 6360 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 27 ms 6360 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 19 ms 6360 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 32 ms 6360 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 8 ms 6360 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 8 ms 6360 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 98 ms 6892 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 8 ms 6892 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 105 ms 6924 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 121 ms 6924 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 108 ms 6924 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 104 ms 6956 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 26 ms 6956 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 43 ms 6956 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 10 ms 6956 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 11 ms 6956 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 175 ms 13980 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 11 ms 13980 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 111 ms 13980 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 132 ms 13980 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 143 ms 13980 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 129 ms 13980 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 131 ms 13980 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 159 ms 13980 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 33 ms 13980 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 40 ms 13980 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 898 ms 84316 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 34 ms 84316 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 975 ms 85232 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 758 ms 85232 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 830 ms 85232 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 663 ms 85232 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 671 ms 85232 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 972 ms 85232 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845