Submission #56530

# Submission time Handle Problem Language Result Execution time Memory
56530 2018-07-11T15:04:31 Z fefe Split the sequence (APIO14_sequence) C++17
100 / 100
618 ms 85204 KB
#include<bits/stdc++.h>
#define MAX_N 100005
#define sq(x) ((x)*(x))
using namespace std;
typedef long long LL;
struct node{
	LL a,b,idx;
}fc[MAX_N],nfc[MAX_N];
LL n,k,sum[MAX_N],dp[MAX_N];
LL s,e,ns,ne,ans,anss[MAX_N],ansn;
int from[205][MAX_N];
bool is_ok(node x,node y,node z){return (x.a-y.a)*(z.b-x.b)>(x.a-z.a)*(y.b-x.b);}
int main(){
	LL i,j,x,F;
	node p;
	scanf("%lld %lld",&n,&k);
	for(i=1;i<=n;i++){
		scanf("%lld",&x);
		sum[i]=sum[i-1]+x;
	}
	s=e=0;
	ans=-1;
	for(i=1;i<=n;i++){
		dp[i]=(sum[i])*(sum[n]-sum[i]);
		if(1==k && ans<dp[i] && i!=n){
			ans=dp[i];
			F=i;
		}
		p.a=sum[i];
		p.b=dp[i]-sum[n]*sum[i];
		p.idx=i;
		from[1][i]=0;
		while(e-s>1 && !is_ok(fc[e-2],fc[e-1],p))	e--;
		fc[e++]=p;
	}
	for(i=2;i<=k;i++){	
		ns=ne=0;
		for(j=1;j<=n;j++)	dp[j]=0;
		for(j=i;j<=n;j++){
			while(e-s>1 && fc[s+1].idx<j && fc[s].a*sum[j]+fc[s].b<=fc[s+1].a*sum[j]+fc[s+1].b)	s++;
			dp[j]=fc[s].a*sum[j]+fc[s].b-sq(sum[j])+sum[n]*sum[j];
			if(i==k && ans<dp[j] && j!=n){
				ans=dp[j];
				F=j;
			}
			from[i][j]=fc[s].idx;
			p.a=sum[j];
			p.b=dp[j]-sum[n]*sum[j];
			p.idx=j;
			while(ne-ns>1 && !is_ok(nfc[ne-2],nfc[ne-1],p))	ne--;
			nfc[ne++]=p;
		}
		s=ns;
		e=ne;
		for(j=ns;j<ne;j++)	fc[j]=nfc[j];
	}
	while(F){
		anss[ansn++]=F;
		F=from[k--][F];
	}
	printf("%lld\n",ans);
	for(i=ansn-1;i>=0;i--)	printf("%lld ",anss[i]);
	printf("\n");
	return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:16:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%lld %lld",&n,&k);
  ~~~~~^~~~~~~~~~~~~~~~~~~
sequence.cpp:18:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld",&x);
   ~~~~~^~~~~~~~~~~
sequence.cpp:59:16: warning: 'F' may be used uninitialized in this function [-Wmaybe-uninitialized]
   F=from[k--][F];
     ~~~~~~~~~~~^
# 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 408 KB contestant found the optimal answer: 0 == 0
4 Correct 4 ms 584 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 3 ms 644 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 644 KB contestant found the optimal answer: 1 == 1
7 Correct 3 ms 644 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 644 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 644 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 644 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 644 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 644 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 644 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 644 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 644 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 644 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 3 ms 644 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 644 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 748 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 3 ms 892 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 892 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 892 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 892 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 892 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 892 KB contestant found the optimal answer: 687136 == 687136
9 Correct 3 ms 892 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 892 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 3 ms 892 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 3 ms 892 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 1664 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 1664 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 1664 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 4 ms 1664 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 4 ms 1664 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 1664 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 3 ms 1664 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 1664 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1664 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 1664 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 2348 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 2348 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 8 ms 2348 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 2348 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 2348 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2476 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 2476 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 2476 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 2476 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 2476 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 45 ms 9900 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 9900 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 38 ms 9900 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 33 ms 9900 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 46 ms 9900 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 33 ms 9900 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 37 ms 9900 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 48 ms 9900 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 23 ms 9900 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 21 ms 9900 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 421 ms 85204 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 28 ms 85204 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 618 ms 85204 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 381 ms 85204 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 438 ms 85204 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 336 ms 85204 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 356 ms 85204 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 408 ms 85204 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845