Submission #31126

# Submission time Handle Problem Language Result Execution time Memory
31126 2017-08-10T10:45:42 Z tatatan Split the sequence (APIO14_sequence) C++11
100 / 100
1796 ms 85228 KB
#include <bits/stdc++.h>
#define mp make_pair
#define pb push_back
#define pii pair<LL,LL>
#define LL long long
#define st first
#define nd second
#define endl '\n'
using namespace std;

const int MAXN=100005,MAXK=201;
LL n,k,sum[MAXN],t,pnt,val[2][MAXN],top;
int used[MAXN][MAXK];
pair<pii,int> line[MAXN];

double inter(pii a,pii b) {
	
	if(a.st==b.st)
		return -1e9;
	return 1.0*(b.nd-a.nd)/(a.st-b.st);

}

void upd(LL val) {

	while(pnt+1<top&&inter(line[pnt].st,line[pnt+1].st)<=1.0*val)
		++pnt;

}

void add(pii ll,int y) {

	while(top>=2&&inter(line[top-1].st,line[top-2].st)>=inter(ll,line[top-1].st)) 
		--top;
	line[top++]=mp(ll,y);
	pnt=min(pnt,top-1);

}

int main() {

	scanf("%lld %lld",&n,&k);
	for(int i=1;i<=n;++i) {
		scanf("%lld",&t);
		sum[i]=sum[i-1]+t;
	}
	for(int j=1;j<=k;++j) {
		int cur=j&1,old=cur^1;
		pnt=top=0;
		add(mp(sum[j],-sum[j]*sum[j]+val[old][j]),j);
		for(int i=j+1;i<=n;++i) {
			upd(sum[i]);
			val[cur][i]=line[pnt].st.st*sum[i]+line[pnt].st.nd;
			//cout<<j<<" "<<i<<" "<<val[cur][i]<<endl;
			used[i][j]=line[pnt].nd;
			add(mp(sum[i],-sum[i]*sum[i]+val[old][i]),i);
		}
	}
	printf("%lld\n",val[k&1][n]);
	int cur=n;
	for(int i=k;i>=1;--i) {
		cur=used[cur][i];
		printf("%lld ",cur);
	}
	printf("\n");

}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:63:21: warning: format '%lld' expects argument of type 'long long int', but argument 2 has type 'int' [-Wformat=]
   printf("%lld ",cur);
                     ^
sequence.cpp:42:26: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%lld %lld",&n,&k);
                          ^
sequence.cpp:44:19: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld",&t);
                   ^
# Verdict Execution time Memory Grader output
1 Correct 0 ms 85228 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 85228 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 85228 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 85228 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 85228 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 85228 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 85228 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 85228 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 85228 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 85228 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 85228 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 85228 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 85228 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 85228 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 85228 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 85228 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 85228 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 85228 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 85228 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 85228 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 85228 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 85228 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 85228 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 85228 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 85228 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 85228 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 85228 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 85228 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 85228 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 85228 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 85228 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 85228 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 85228 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 85228 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 85228 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 85228 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 85228 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 85228 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 85228 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 3 ms 85228 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 85228 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 85228 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 3 ms 85228 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 85228 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 3 ms 85228 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 85228 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 85228 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 85228 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 0 ms 85228 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 79 ms 85228 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 85228 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 53 ms 85228 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 59 ms 85228 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 66 ms 85228 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 56 ms 85228 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 59 ms 85228 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 73 ms 85228 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 56 ms 85228 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 49 ms 85228 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1796 ms 85228 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 53 ms 85228 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1559 ms 85228 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1293 ms 85228 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 993 ms 85228 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 1729 ms 85228 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1116 ms 85228 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1133 ms 85228 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845