Submission #174691

# Submission time Handle Problem Language Result Execution time Memory
174691 2020-01-06T17:08:53 Z CaroLinda Split the sequence (APIO14_sequence) C++14
100 / 100
1888 ms 81480 KB
#include <bits/stdc++.h>
 
#define debug printf
#define lp(i,a,b) for(int i = a ; i < b ; i++ )
#define ff first
#define ss second
#define pb push_back
#define mk make_pair
#define ll long long
#define sz size()
#define pii pair<int,int>
#define all(x) x.begin(),x.end()
#define tiii tuple<int,int,int>
#define mkt make_tuple

const int MAXN = 1e5+10 , MAXK = 210 ;

using namespace std ;

int n , k , mid , opt ;
int a[MAXN] ;
int myOpt[MAXK][MAXN] ;
ll val , cur ;
ll sufSum[MAXN] ;
ll dp[2][MAXN] ;


void calcDp(int l , int r , int optmin , int optmax, int am, int mod )
{

	if( r < l ) return ;

	val = 0;
	mid = (l+r)>>1 ;
	opt = mid+1 ;

	lp(i,max(optmin-1,mid)+1,optmax+1)
	{
		cur = dp[!mod][i] + (sufSum[mid] - sufSum[i])*sufSum[i] ;
		if( cur > val ) val = cur, opt = i ;
	}

	dp[mod][mid] = val ;
	myOpt[am][mid] = opt ;

	calcDp(l,mid-1, optmin, opt , am, mod ) ;
	calcDp(mid+1, r, opt, optmax, am, mod ) ;

}

char c ;
void read(int &num )
{
	num = 0 ;
	c = getchar() ;
	for(; (c>47 && c<58);c=getchar())
		num = num*10 + c - 48 ;
}

int main()
{
	read(n) , read(k) ;
	lp(i,1,n+1)read(a[i]) ;

	for(int i = n ; i > 0 ; i-- ) sufSum[i] = sufSum[i+1] + a[i] ;
	lp(i,1,k+1) calcDp(1,n - i,1,n-i+1,i, i%2 ) ;

	printf("%lld\n", dp[k%2][1] ) ;

	int cur = 1 ;
	for(int i = k ; i > 0 ; i-- )
	{
		cur= myOpt[i][cur] ;
		printf("%d " , cur-1 ) ;
	}

	printf("\n") ;

}
# 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 0 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 380 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 504 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 376 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 376 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 376 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 376 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 376 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 4 ms 1272 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 376 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 1016 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 1144 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 1276 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 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 3 ms 632 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 348 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 376 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 2040 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 376 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 15 ms 1912 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 13 ms 1784 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 14 ms 1912 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 1912 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 5 ms 760 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 7 ms 1016 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 760 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 760 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 94 ms 9208 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 760 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 103 ms 5804 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 98 ms 6680 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 99 ms 7164 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 70 ms 5880 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 92 ms 6648 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 117 ms 8424 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 36 ms 4216 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 37 ms 4312 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1014 ms 81328 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 29 ms 4728 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1888 ms 81480 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1105 ms 58196 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1073 ms 62408 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 773 ms 51320 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 951 ms 58304 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1225 ms 74056 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845