Submission #216437

# Submission time Handle Problem Language Result Execution time Memory
216437 2020-03-27T09:51:51 Z T0p_ Split the sequence (APIO14_sequence) C++14
100 / 100
1604 ms 81048 KB
#include<bits/stdc++.h>
using namespace std;

int n;
int pos[202][100100];
long long arr[100100];
long long dp[2][100100];
stack<int> ans;

void compute(int idx, int l, int r, int a, int b)
{
	int mid = (l+r)>>1;
	for(int i=a ; i<=min(mid, b) ; i++)
	{
		long long nv = dp[(idx-1)%2][i] + (arr[mid] - arr[i]) * (arr[n] - arr[mid]);
		if(nv > dp[idx%2][mid])
		{
			dp[idx%2][mid] = nv;
			pos[idx][mid] = i;
		}
	}
	if(l == r) return ;
	compute(idx, l, mid, a, pos[idx][mid]);
	compute(idx, mid+1, r, pos[idx][mid], b);
}

int main()
{
	int k;
	scanf(" %d %d",&n,&k);
	for(int i=1 ; i<=n ; i++)
	{
		scanf(" %lld",&arr[i]);
		arr[i] += arr[i-1];
	}
	for(int i=1 ; i<=n ; i++)
		dp[1][i] = arr[i] * (arr[n] - arr[i]);
	for(int i=2 ; i<=k ; i++)
	{
		for(int j=1 ; j<=n ; j++)
			dp[i%2][j] = 0;
		compute(i, i, n, 1, n);
	}
	long long mv = -1;
	int p;
	for(int i=k ; i<n ; i++)
		if(dp[k%2][i] > mv)
		{
			mv = dp[k%2][i];
			p = i;
		}
	printf("%lld\n",mv);
	for(int i=k ; i>=1 ; i--)
	{
		ans.push(p);
		p = pos[i][p];
	}
	while(!ans.empty())
	{
		printf("%d ",ans.top());
		ans.pop();
	}
	return 0;
}
/*
7 3
4 1 3 4 0 2 3
*/

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:30:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf(" %d %d",&n,&k);
  ~~~~~^~~~~~~~~~~~~~~~
sequence.cpp:33:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf(" %lld",&arr[i]);
   ~~~~~^~~~~~~~~~~~~~~~~
sequence.cpp:56:15: warning: 'p' may be used uninitialized in this function [-Wmaybe-uninitialized]
   p = pos[i][p];
       ~~~~~~~~^
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 4 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 4 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 5 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 5 ms 376 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 4 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 5 ms 376 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 5 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 5 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 5 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 5 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 5 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 5 ms 376 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 4 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 512 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 5 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 4 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 5 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 5 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 4 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 6 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 7 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 1280 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 640 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 640 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 12 ms 2048 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 17 ms 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 14 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 14 ms 2048 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 11 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 7 ms 640 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 9 ms 1024 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 640 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 640 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 78 ms 9336 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 640 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 98 ms 5752 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 89 ms 6648 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 84 ms 7032 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 58 ms 5880 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 78 ms 6652 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 98 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 29 ms 3704 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 28 ms 3704 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 790 ms 81048 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 25 ms 3960 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1604 ms 80992 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 952 ms 57464 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 816 ms 61560 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 578 ms 50424 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 761 ms 57592 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 974 ms 73212 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845