Submission #443997

# Submission time Handle Problem Language Result Execution time Memory
443997 2021-07-12T20:12:20 Z negar_a Split the sequence (APIO14_sequence) C++14
100 / 100
1696 ms 82544 KB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
#define S second
#define F first
#define pb push_back
#define mp make_pair
#define pii pair <int, int>
#define fast_io ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

const int maxn = 1e5 + 2, maxk = 200 + 3;
ll dp[3][maxn], ps[maxn], a[maxn], inf = 1e18;
int opt[maxk][maxn];

inline ll ch(ll x){
	return x * (x - 1) / (ll)2;
}

void solve(int l, int r, int x, int y, int k){
	if(l + 1 > r){
		return;
	}
	int mid = (l + r) / 2;
	dp[k & 1][mid] = inf;
	for(int i = x; i < min(y, mid); i ++){
		ll val = dp[(k - 1) & 1][i] + ch(ps[mid + 1] - ps[i + 1]);
		if(val < dp[k & 1][mid]){
			dp[k & 1][mid] = val;
			opt[k][mid] = i;
		}
	}
	//cout << mid << " " << k << " : " << dp[k][mid] << endl; 
	solve(l, mid, x, opt[k][mid] + 1, k);
	solve(mid + 1, r, opt[k][mid], y, k);
}

int main(){
	fast_io;
	int n, k;
	cin >> n >> k;
	ll sum = 0;
	for(int i = 0; i < n; i ++){
		cin >> a[i];
		ps[i + 1] = ps[i] + a[i];
		sum += a[i];
	}
	for(int i = 0; i < n; i ++){
		dp[1][i] = ch(ps[i + 1]);
		opt[1][i] = -1;
	} 
	for(int i = 2; i <= k + 1; i ++){
		solve(0, n, 0, n, i);
	}
	//cout << "dp : " << dp[k + 1][n - 1] << endl;
	cout << ch(sum) - dp[(k + 1) & 1][n - 1] << endl;
	
	int x = opt[k + 1][n - 1];
	int t = k + 1;
	while(x != -1){
		cout << x + 1 << " ";
		t --;
		x = opt[t][x];
	}
	
	
	return 0;
}	
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 332 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 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 0 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 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 0 ms 332 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 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 588 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 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 0 ms 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 332 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1356 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 332 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 972 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 588 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
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 332 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 1996 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 332 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 12 ms 2020 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 1692 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 10 ms 1936 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
# Verdict Execution time Memory Grader output
1 Correct 3 ms 716 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 844 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 89 ms 9356 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 716 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 103 ms 5804 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 99 ms 6744 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 80 ms 7196 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 58 ms 5992 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 84 ms 6768 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 107 ms 8404 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 32 ms 4968 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 31 ms 4948 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 930 ms 82544 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 26 ms 5448 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1696 ms 82228 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1086 ms 58760 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 881 ms 63020 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 665 ms 51908 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 901 ms 59044 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1139 ms 74520 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845