Submission #106590

# Submission time Handle Problem Language Result Execution time Memory
106590 2019-04-19T07:00:10 Z ekrem Split the sequence (APIO14_sequence) C++
71 / 100
139 ms 132096 KB
#include <bits/stdc++.h>
#define st first
#define nd second
#define mp make_pair
#define pb push_back
#define mod 1000000007
#define N 100005
using namespace std;

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

ll dp[N][205];
int git[N][205], pre[N], a[N], n, k, bas, son;
pair < int , ii > q[N];

inline double kesisim(ii a, ii b){return 1.0 * ( b.nd - a.nd ) / (1.0 * (a.st - b.st)) ;}

void ekle(ll i, ii d){
	if(son - bas + 1 >= 1 and d.st == q[son].nd.st){
		if(d.nd < q[son].nd.nd)
			return;
		else
			son--;
	}
	while(son - bas + 1 >= 2){
		ii d1 = q[son].nd;
		ii d2 = q[son - 1].nd;
		if(kesisim(d, d2) <= kesisim(d1, d2))
			son--;
		else
			break;
	}
	q[++son] = mp(i, d);
}

ll bul(ll x){
	while(son - bas + 1 >= 2){
		ii d1 = q[bas].nd;
		ii d2 = q[bas + 1].nd;
		if(kesisim(d1, d2) <= x)
			bas++;
		else
			break;
	}
	return q[bas].st;
}

int main() {
	// freopen("in.txt", "r", stdin);
	// freopen("out.txt", "w", stdout);
	scanf("%d %d",&n ,&k);
	for(int i = 1; i <= n; i++){
		scanf("%d",a + i);
		pre[i] = pre[i - 1] + a[i];
	}
	for(int x = 1; x <= k; x++){
		bas = 1, son = 0;
		ekle(0, mp(0, 0));
		for(int i = 1; i <= n; i++){
			ll j = bul(pre[i]);
			dp[i][x] = dp[j][x - 1] + 1ll*pre[j]*pre[i] - 1ll*pre[j]*pre[j];
			git[i][x] = j;
			ekle(i, mp(pre[i], dp[i][x - 1] - 1ll*pre[i]*pre[i]) );
		}
	}
	printf("%lld\n", dp[n][k]);
	son = n;
	bas = k;
	// if(dp[n][k] == 0){
	// 	for(int i = 1; i <= k; i++)
	// 		printf("%d ", i);
	// 	return 0;
	// }
	for(ll i = 1; i <= k; i++){
		printf("%d ", git[son][bas]);
		son = git[son][bas];
		bas--;
	}
	return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:52:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d %d",&n ,&k);
  ~~~~~^~~~~~~~~~~~~~~~
sequence.cpp:54:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d",a + i);
   ~~~~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 412 KB contestant found the optimal answer: 0 == 0
4 Correct 3 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 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 3 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 3 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 3 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 3 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 3 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 3 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 3 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 3 ms 512 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 640 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 512 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 512 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 3 ms 512 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 512 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 508 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 512 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 3 ms 512 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 3 ms 896 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 3 ms 896 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 4 ms 768 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 3 ms 768 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 4 ms 768 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 768 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 896 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 768 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 768 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 768 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 5 ms 2688 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 2816 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 2816 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 2816 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 13 ms 2816 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 12 ms 2816 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 2816 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 14 ms 2816 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 8 ms 2816 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 9 ms 2816 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 26 ms 24704 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 24 ms 24704 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 139 ms 24704 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 28 ms 24704 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 95 ms 24704 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 98 ms 24696 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 127 ms 24704 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 91 ms 24704 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 104 ms 24792 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 138 ms 24824 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Runtime error 138 ms 132096 KB Execution killed with signal 9 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -