Submission #76846

# Submission time Handle Problem Language Result Execution time Memory
76846 2018-09-18T15:40:22 Z samuelfgs96 Split the sequence (APIO14_sequence) C++11
100 / 100
1621 ms 83532 KB
#include<bits/stdc++.h>

#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define eb emplace_back

using namespace std;

typedef pair<int, int> pii;
typedef long long ll;

const int N = 100002;
int n, k;
ll a[N], sum[N], dp[2][N];
ll cost (int l, int r) {
	return (sum[r+1] - sum[l]) * (sum[n] - sum[r+1]);
}
int nxt[210][N];
int prv, at;
void solve (int lo, int hi, int opt_beg, int opt_end, int k) {
	if (lo > hi) return ;
	int mid = (lo + hi) / 2;
	int opt = -1;
	dp[at][mid] = -1;
	for (int i = max(mid, opt_beg); i <= opt_end; i++) {
		ll tmp = dp[prv][i+1] + cost(mid, i);
		if (dp[at][mid] < tmp) {
			dp[at][mid] = tmp;
			opt = i;
		}
	}
	nxt[k][mid] = opt;
	solve(lo, mid-1, opt_beg, opt, k);
	solve(mid+1, hi, opt, opt_end, k);
}
int main (void) {
	scanf("%d %d", &n, &k);
	for (int i = 0; i < n; i++) {
		scanf("%lld", a + i);
		sum[i+1] = sum[i] + a[i];
	}

	memset (dp, -1, sizeof dp);
	for (int i = 0; i < n; i++) dp[0][i] = 0;
	at = 1;
	for (int i = 1; i <= k; i++) {
		solve(0, n-1, 0, n-1, i);
		swap (prv, at);
	}
	cout << dp[prv][0] << endl;
	vector <int> path;
	int x = k, y = 0;
	while (x) {
		path.pb(nxt[x][y]);
		y = nxt[x][y] + 1;
		x--;
	}
	for (auto u : path) cout << u + 1 << " ";
	cout << endl;
	return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:39:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d %d", &n, &k);
  ~~~~~^~~~~~~~~~~~~~~~~
sequence.cpp:41:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld", a + i);
   ~~~~~^~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1912 KB contestant found the optimal answer: 108 == 108
2 Correct 3 ms 1912 KB contestant found the optimal answer: 999 == 999
3 Correct 3 ms 1984 KB contestant found the optimal answer: 0 == 0
4 Correct 4 ms 2132 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 3 ms 2132 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 4 ms 2132 KB contestant found the optimal answer: 1 == 1
7 Correct 4 ms 2276 KB contestant found the optimal answer: 1 == 1
8 Correct 4 ms 2276 KB contestant found the optimal answer: 1 == 1
9 Correct 3 ms 2276 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 3 ms 2276 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 3 ms 2276 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 3 ms 2280 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 4 ms 2284 KB contestant found the optimal answer: 140072 == 140072
14 Correct 3 ms 2288 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 3 ms 2292 KB contestant found the optimal answer: 805 == 805
16 Correct 4 ms 2424 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 3 ms 2424 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2424 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 4 ms 2424 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 4 ms 2576 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 3 ms 2576 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 3 ms 2576 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 4 ms 2576 KB contestant found the optimal answer: 933702 == 933702
7 Correct 3 ms 2576 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 4 ms 2576 KB contestant found the optimal answer: 687136 == 687136
9 Correct 4 ms 2576 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 3 ms 2576 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2576 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 3 ms 2576 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 5 ms 3380 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 3 ms 3380 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 3380 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 5 ms 3384 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 5 ms 3388 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 4 ms 3388 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 4 ms 3388 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 4 ms 3388 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 4 ms 3388 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 4 ms 3388 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 14 ms 4044 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 4044 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 14 ms 4168 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 13 ms 4168 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 4188 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 15 ms 4188 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 6 ms 4188 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 20 ms 4188 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4188 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 7 ms 4188 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 95 ms 11312 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 11312 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 85 ms 11312 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 79 ms 11312 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 82 ms 11312 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 63 ms 11312 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 84 ms 11312 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 99 ms 11312 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 48 ms 11312 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 44 ms 11312 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 889 ms 82560 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 32 ms 82560 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1621 ms 83532 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 972 ms 83532 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 917 ms 83532 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 650 ms 83532 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 853 ms 83532 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1068 ms 83532 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845