Submission #7656

# Submission time Handle Problem Language Result Execution time Memory
7656 2014-08-13T11:22:41 Z imsifile Split the sequence (APIO14_sequence) C++
33 / 100
8 ms 25720 KB
#include<stdio.h>
#include<deque>
#define sq(a) ((a)*(a))
#define sik(l,x) (-(l.a)*(x)+(l.b))
using namespace std;

typedef long long lld;

struct lin {
	int ix;
	lld a, b; // -ax+b
}im;

deque<lin> dq;

int n, k, di[10010][202];
lld ba[100100], dy[10010][202];

int main(){
	int i, j, t=1;
	scanf("%d%d", &n, &k);
	for(i=1; i<=n; i++){
		scanf("%lld", &ba[i]), ba[i]+=ba[i-1];
		dy[i][0]=sq(ba[i]);
	}
	for(j=1; j<=k; j++){
		im.a=2*ba[j], im.b=dy[j][j-1]+sq(ba[j]), im.ix=j;
		dq.push_back(im);
		for(i=1; i<=n; i++)dy[i][t]=0;
		for(i=j+1; i<=n; i++){
			for(; dq.size()>=2;){
				if(sik(dq[0],ba[i])<sik(dq[1],ba[i]))break;
				dq.pop_front();
			}
			di[i][j]=dq[0].ix, dy[i][j]=sq(ba[i])+sik(dq[0],ba[i]);
			im.ix=i, im.a=2*ba[i], im.b=dy[i][j-1]+sq(ba[i]);
			for(; dq.size();){
				if(dq[dq.size()-1].b<im.b)break;
				dq.pop_back();
			}
			dq.push_back(im);
		}
		dq.clear();
		t=1-t;
	}
	printf("%lld\n", (sq(ba[n])-dy[n][k])/2);
	for(i=n, j=k; j>0; j--)printf("%d ", di[i][j]), i=di[i][j];
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 108 == 108
2 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 999 == 999
3 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 0 == 0
4 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 1 == 1
7 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 1 == 1
8 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 1 == 1
9 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 805 == 805
16 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 25720 KB Output is correct - contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 25720 KB Output is correct - contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 8 ms 25720 KB Output is correct - contestant found the optimal answer: 679388326 == 679388326
6 Incorrect 4 ms 25720 KB Output isn't correct - contestant didn't find the optimal answer: 4698976842 < 4699030287
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Halted 0 ms 0 KB -