답안 #244095

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
244095 2020-07-02T15:04:45 Z nandonathaniel 수열 (APIO14_sequence) C++14
100 / 100
1341 ms 81076 KB
#include<bits/stdc++.h>
using namespace std;
const int MAXN=100005,MAXK=205;

long long dp[2][MAXN],pref[MAXN];  //max cost dari 1...i dibagi j bagian
int opt[MAXK][MAXN],n;

long long cost(int x,int y){
	return (pref[x-1])*(pref[y]-pref[x-1]);
}

void dnc(int L,int R,int optL,int optR,int j){
	if(L>R)return;
	int mid=(L+R)/2,idx=0;
	long long res=-1e18;
	for(int i=optL;i<=min(optR,mid-1);i++){
		if(dp[(j-1)&1][i]+cost(i+1,mid)>res){
			res=dp[(j-1)&1][i]+cost(i+1,mid);
			idx=i;
		}
	}
	dp[j&1][mid]=res;
	opt[j][mid]=idx;
	dnc(L,mid-1,optL,opt[j][mid],j);
	dnc(mid+1,R,opt[j][mid],optR,j);
}

int main(){
	ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
	int k,a;
	cin >> n >> k;
	k++;
	for(int i=1;i<=n;i++){
		cin >> a;
		pref[i]=pref[i-1]+a;
	}
	for(int i=2;i<=k;i++)dnc(i,n,i-1,n-1,i);
	cout << dp[k&1][n] << '\n';
	vector<int> id;
	int j=n;
	for(int i=k;i>=2;i--){
		j=opt[i][j];
		id.push_back(j);
	}
	reverse(id.begin(),id.end());
	for(int i=0;i<id.size();i++){
		if(i<id.size()-1)cout << id[i] << " ";
		else cout << id[i] << '\n';
	}
	return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:46:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i=0;i<id.size();i++){
              ~^~~~~~~~~~
sequence.cpp:47:7: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if(i<id.size()-1)cout << id[i] << " ";
      ~^~~~~~~~~~~~
# 결과 실행 시간 메모리 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 5 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 6 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 5 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 4 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 6 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 5 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 6 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 384 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 5 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 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 5 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 4 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 5 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 5 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 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 6 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
# 결과 실행 시간 메모리 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 10 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 14 ms 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 13 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 2048 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 6 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 8 ms 1152 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 768 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 768 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 65 ms 9208 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 768 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 74 ms 5756 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 73 ms 6648 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 66 ms 7160 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 47 ms 5880 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 67 ms 6648 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 85 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 30 ms 3840 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 34 ms 3844 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 648 ms 81016 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 26 ms 3840 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1341 ms 81076 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 819 ms 57848 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 685 ms 61944 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 472 ms 50808 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 684 ms 57940 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 855 ms 73444 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845