Submission #135270

# Submission time Handle Problem Language Result Execution time Memory
135270 2019-07-23T23:52:41 Z Lawliet Split the sequence (APIO14_sequence) C++14
71 / 100
2000 ms 85852 KB
#include <bits/stdc++.h>
 
#define MAXK 210
#define MAXN 100010
#define INF 1000000000000000000LL
 
using namespace std;
typedef long long int lli;
 
int n, k;
 
int v[MAXN];
int opt[MAXN][MAXK];
 
lli sv[MAXN];
lli dp[MAXN][2];
 
lli cost(int l, int c, int r)
{
	lli firstPart = sv[c - 1] - sv[l - 1];
	lli secondPart = sv[r] - sv[c - 1];
 
	return firstPart*secondPart;
}
 
void DivAndConquer(int line, int l, int r, int optmin, int optmax)
{
	if(l > r) return;
 
	int m = (l + r)/2;
 
	int optInd = l;
	lli optValue = -1;
 
	for(int g = optmin ; g <= optmax && g <= m ; g++)
	{
		lli curAns = dp[g - 1][1 - line%2] + cost(1 , g , m);
 
		if(curAns > optValue)
		{
			optInd = g;
			optValue = curAns;
		}
	}
 
	dp[m][line%2] = optValue;
	opt[m][line] = optInd;
 
	DivAndConquer(line , l , m - 1 , optmin , optInd);
	DivAndConquer(line , m + 1 , r , optInd , optmax);
}
 
int main()
{
	scanf("%d %d",&n,&k);
 
	for(int g = 1 ; g <= n ; g++)
	{
		scanf("%d",&v[g]);
 
		sv[g] = sv[g - 1] + v[g];
	}
 
	dp[0][0] = dp[0][1] = -INF;
 
	for(int l = 1 ; l <= k ; l++)
		DivAndConquer(l , 1 , n , 2 , n);
 
	printf("%lld\n",dp[n][k%2]);
 
	int cur = n;
 
	for(int g = k ; g > 0 ; g--)
	{
		printf("%d ",opt[cur][g] - 1);
 
		cur = opt[cur][g] - 1;
	} 
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:55:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d %d",&n,&k);
  ~~~~~^~~~~~~~~~~~~~~
sequence.cpp:59:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d",&v[g]);
   ~~~~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 376 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 376 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 376 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 376 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 376 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 376 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 400 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 376 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 376 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 376 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 376 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 376 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 376 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 376 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 380 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 376 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 248 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 376 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 376 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 376 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 376 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 508 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 504 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 504 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 504 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 504 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 504 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 504 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 504 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 504 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1144 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 1144 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 1244 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 1148 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 12 ms 1144 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 1144 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 1272 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 1224 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 1144 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 6 ms 1144 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 11 ms 8824 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 10 ms 8828 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 101 ms 8824 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 11 ms 8824 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 90 ms 8828 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 101 ms 8872 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 84 ms 8824 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 68 ms 8828 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 87 ms 8824 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 110 ms 8824 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 136 ms 85220 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 112 ms 85472 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1938 ms 85852 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 101 ms 85752 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Execution timed out 2074 ms 85368 KB Time limit exceeded
6 Halted 0 ms 0 KB -