Submission #703719

# Submission time Handle Problem Language Result Execution time Memory
703719 2023-02-28T07:59:58 Z 600Mihnea Split the sequence (APIO14_sequence) C++17
100 / 100
1353 ms 82540 KB
#include <cmath>
#include <functional>
#include <fstream>
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <set>
#include <map>
#include <list>
#include <time.h>
#include <math.h>
#include <random>
#include <deque>
#include <queue>
#include <unordered_map>
#include <unordered_set>
#include <iomanip>
#include <cassert>
#include <bitset>
#include <sstream>
#include <chrono>
#include <cstring>
#include <numeric>

using namespace std;

typedef long long ll;

void minup(ll& a, ll b)
{
	a = min(a, b);
}

const int N = 100000 + 7;
const int K = 200 + 7;
const ll INF = (ll)1e18 + 7;
int n;
int k;
ll a[N];
ll pref[N];
ll dp[N];
ll ndp[N];
int par[K][N];

ll get(int l, int r)
{
	return pref[r] - pref[l - 1];
}

void clr()
{
	for (int i = 0; i <= n; i++)
	{
		dp[i] = ndp[i] = INF;
	}
	dp[0] = 0;
}

void swp()
{
	for (int i = 0; i <= n; i++)
	{
		dp[i] = ndp[i];
		ndp[i] = INF;
	}
}

ll co(int i, int j)
{
	if (j <= i)
	{
		return dp[j - 1] + get(j, i) * get(j, i);
	}
	else
	{
		return INF;
	}
}

void dnc(int step, int l, int r, int low, int high)
{
	if (l > r)
	{
		return;
	}
	int i = (l + r) / 2;
	for (int j = low; j <= high; j++)
	{
		ll cur = co(i, j);
		if (cur < ndp[i])
		{
			ndp[i] = cur;
			par[step][i] = j - 1;
		}
	}
	dnc(step, l, i - 1, low, par[step][i] + 1);
	dnc(step, i + 1, r, par[step][i] + 1, high);
}

signed main()
{
#ifdef ONPC	
	FILE* stream;
	freopen_s(&stream, "input.txt", "r", stdin);
#else
	ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#endif

	cin >> n >> k;
	k++;
	for (int i = 1; i <= n; i++)
	{
		cin >> a[i];
		pref[i] = pref[i - 1] + a[i];
	}
	clr();

	for (int step = 1; step <= k; step++)
	{
		dnc(step, 1, n, 1, n);
		swp();
	}
	ll sol = (get(1, n) * get(1, n) - dp[n]) / 2;
	cout << sol << "\n";
	int p = n;
	for (int step = k; step >= 2; step--)
	{
		cout << par[step][p] << " ";
		p = par[step][p];
	}
	cout << "\n";

	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 340 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 340 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 340 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 340 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 340 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 340 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 340 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 340 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 340 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 340 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 340 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 340 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 340 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 596 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 468 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 340 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 340 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1364 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 340 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 980 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1236 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1364 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 596 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 468 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 596 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 340 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 2004 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 340 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 2004 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 1744 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 1956 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2004 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 724 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 980 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 724 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 724 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 68 ms 9408 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 852 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 73 ms 5896 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 71 ms 6708 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 64 ms 7376 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 45 ms 5984 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 67 ms 6792 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 85 ms 8528 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 30 ms 5040 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 26 ms 5100 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 689 ms 82540 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 24 ms 5512 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1353 ms 82312 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 832 ms 58816 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 701 ms 63076 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 502 ms 52016 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 714 ms 58908 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 894 ms 74668 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845