답안 #443217

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
443217 2021-07-10T07:43:16 Z hivakarami 수열 (APIO14_sequence) C++14
100 / 100
1681 ms 82332 KB
#include<bits/stdc++.h>

 
using namespace std;
 
typedef long long int ll;
typedef long double ld;
#define f first
#define s second
#define pb push_back
#define pii pair<int, int>

 
const int N = 100000 + 100;
const int K = 200 + 100;
const ll inf = 1e18;

ll ps[N], dp[N][2], a[N];
int op[K][N];

inline ll get(int l, int r)
{
	ll sum = ps[r] - ps[l];
	return (sum * (sum-1)) / 2;
}

void solve(int l, int r, int opl, int opr, int k)
{
	//cout << l << ' ' << r << ' ' << opl << ' ' << opr << endl;
	if(l >= r || opr < opl)
		return;
	
	int mid = (l + r) / 2;
	op[k][mid] = opl;
	for(int i = opl; i < min(mid, opr); i++)
	{
		if(dp[mid][1] > dp[i][0] + get(i+1, mid+1))
		{
			dp[mid][1] = dp[i][0] + get(i+1, mid+1);
			op[k][mid] = i;
		}
	}
	
	solve(l, mid, opl, op[k][mid]+1, k);
	solve(mid+1, r, op[k][mid], opr, k);
	
}



int main()
{
    
    ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);	

	int n, k;
	cin >> n >> k;
	k++;
	for(int i = 0; i < n; i++)
		cin >> a[i];
		
	for(int i = 1; i <= n; i++)
		ps[i] = ps[i-1] + a[i-1];	

	for(int i = 0; i < n; i++)
		dp[i][1] = get(0, i+1);
	
	for(int i = 2; i <= k; i++)
	{
		for(int j = 0; j < n; j++)
		{
			dp[j][0] = dp[j][1];
			dp[j][1] = inf;
		}
		solve(0, n, 0, n, i);
	}

	/*
	for(int j = 1; j <= k; j++)
		for(int i = 0; i < n; i++)
			cout << i << ' ' << j << ' ' << dp[i][j] << endl;
	*/
	
	cout << get(0, n) - dp[n-1][1] << endl;

	int i = n-1, j = k;
	while(j > 1)
	{
		cout << op[j][i] + 1 << ' ';
		//v.pb(op[i][j] + 1);
		i = op[j][i];
		j--;
	}
	cout << endl;


	return 0;
}



 
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 332 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 320 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 320 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 332 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 332 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 332 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 332 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 332 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 324 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 460 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 324 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 460 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 332 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 332 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 4 ms 1356 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 332 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1100 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1228 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1356 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 460 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 588 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 324 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 1984 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 320 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 12 ms 2032 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 1740 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 11 ms 1996 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 1996 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 716 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 972 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 768 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 716 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 90 ms 9424 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 716 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 101 ms 6016 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 89 ms 6780 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 82 ms 7360 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 58 ms 6084 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 83 ms 6696 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 113 ms 8436 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 40 ms 4804 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 31 ms 4808 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 932 ms 82332 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 26 ms 5068 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1681 ms 81992 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1115 ms 58592 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 934 ms 62636 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 687 ms 51692 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 894 ms 58608 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1129 ms 74408 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845