Submission #47711

# Submission time Handle Problem Language Result Execution time Memory
47711 2018-05-06T11:45:01 Z fefe Split the sequence (APIO14_sequence) C++17
100 / 100
517 ms 83272 KB
#include<bits/stdc++.h>
#include<inttypes.h>
#define MAX_N 100005
#define MAX_K 205
#define pb push_back
#define sq(x) ((x)*(x))
#define abs(x) ((x)>0?(x):(-(x)))
#define LL_inf (1LL<<60)
#define full_inf 0x7fffffff
#define half_inf 0x3fffffff
using namespace std;
typedef long long LL;
typedef pair<int,int> pii;
typedef pair<LL,LL> pil;
typedef long double LD;
struct node{
	LL fi,se,from;
};
LL n,k,l,r,ans,ansi,anss[MAX_K];
LL sum[MAX_N],t[3][MAX_N];
int From[MAX_K][MAX_N];
node line[MAX_N];
bool is_ok(node p1,node p2,node p3){return ((p1.fi-p2.fi)*(p3.se-p1.se))<=((p1.fi-p3.fi)*(p2.se-p1.se));}
int main(){
	LL i,j,x,y;
	node p;
	scanf("%lld %lld",&n,&k);
	for(i=1;i<=n;i++){
		scanf("%lld",&x);
		sum[i]=sum[i-1]+x;
	}
	for(i=1;i<n;i++)	t[1][i]=sum[i]*(sum[n]-sum[i]);
	ans=-LL_inf;
	if(k==1){
		for(i=1;i<n;i++){
			if(ans<t[1][i]){
				ansi=i;
				ans=t[1][i];
			}
		}
		return !printf("%lld\n%lld\n",ans,ansi);
	}
	for(i=2;i<=k;i++){
		l=r=0;
		line[r++]={sum[i-1],t[1-(i%2)][i-1],i-1};
		for(j=i;j<=n;j++){
			x=sum[j]-sum[n];
			t[i%2][j]=-LL_inf;
			while(r-l>1 && line[l].fi*x+line[l].se<=line[l+1].fi*x+line[l+1].se)	l++;
			if(r-l){
				y=line[l].fi*x+line[l].se+sum[j]*(-x);
				if(t[i%2][j]<y){
					t[i%2][j]=y;
					From[i][j]=line[l].from;
				}
			}
			y=t[1-(i%2)][j-1]+(sum[j]-sum[j-1])*(-x);
			if(t[i%2][j]<y){
				t[i%2][j]=y;
				From[i][j]=j-1;
			}
			p={sum[j],t[1-(i%2)][j],j};
			while(r-l>1 && is_ok(line[r-2],line[r-1],p))	r--;
			line[r++]=p;
			if(i==k && ans<t[i%2][j]){ans=t[i%2][j];ansi=j;}
		}
	}
	printf("%lld\n",ans);
	i=k;
	while(i){
		anss[i]=ansi;
		ansi=From[i][ansi];
		i--;
	}
	for(i=1;i<=k;i++)	printf("%lld ",anss[i]);	
	printf("\n");
	return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:27:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%lld %lld",&n,&k);
  ~~~~~^~~~~~~~~~~~~~~~~~~
sequence.cpp:29:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld",&x);
   ~~~~~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 436 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 436 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 468 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 692 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 692 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 692 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 692 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 692 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 732 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 732 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 732 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 732 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 732 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 732 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 732 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 732 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 732 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 732 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 932 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 932 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 932 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 932 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 932 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 932 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 932 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 932 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 932 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 932 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 1704 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 1704 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 1704 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 1704 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 1704 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 1704 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 1704 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 1704 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1704 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 1704 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 2344 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 2344 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 2344 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 2344 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 2344 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2344 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 2344 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 2344 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2344 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 2344 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 38 ms 9768 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 9768 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 33 ms 9768 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 34 ms 9768 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 37 ms 9768 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 26 ms 9768 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 30 ms 9768 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 45 ms 9768 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 17 ms 9768 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 18 ms 9768 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 312 ms 83272 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 19 ms 83272 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 517 ms 83272 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 308 ms 83272 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 357 ms 83272 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 243 ms 83272 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 280 ms 83272 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 344 ms 83272 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845