Submission #683224

# Submission time Handle Problem Language Result Execution time Memory
683224 2023-01-18T00:19:26 Z Markomafko972 Split the sequence (APIO14_sequence) C++14
100 / 100
892 ms 84776 KB
#include <bits/stdc++.h>
#define X first
#define Y second
#define pb push_back
#define pii pair<int, int>
typedef long long ll;
using namespace std;

const int MOD = 1e9 + 7;
const ll INF = 1e18;
const int OFF = (1 << 20);

int n, k;
int a[100005];
ll p[100005];
ll dp[100005][2];
int gdje[100005][205];
vector< pair<int, int> > v;
int kreni;

void rek(int x, int y) {
	if (y == 0) return;
	
	cout << x << " ";
	
	rek(gdje[x][y], y-1);
}

int ccw(pair<ll, ll> p1, pair<ll, ll> p2, pair<ll, ll> p3) {
	ll out = p1.X * (p2.Y - p3.Y) + p2.X * (p3.Y - p1.Y) + p3.X * (p1.Y - p2.Y);
	if (out > 0) return 1;
	if (out == 0) return 0;
	if (out < 0) return -1;
}


pair<ll, ll> cord(int x, int y) {
	return {p[x], dp[x][0]-p[x]*p[x]};
}

ll val(int x, int y, ll tren) {
	return dp[x][0]-p[x]*p[x]+p[x]*tren;
}

void dodaj(int x, int y) {
	if (v.size() == 0) {
		v.push_back({x, y});
		return;
	}
	
	pair<int, int> z = v.back();
	v.pop_back();
	
	while ((int)v.size() > 0 && ccw(cord(v.back().X, v.back().Y), cord(z.X, z.Y), cord(x, y)) >= 0) {
		z = v.back();
		v.pop_back();
	}
	
	v.push_back(z);
	v.push_back({x, y});
}

int query(int pref) {
	
	
	int mid = kreni;
	while (mid+1 < (int)v.size()) {
		if (val(v[mid].X, v[mid].Y, pref) < val(v[mid+1].X, v[mid+1].Y, pref)) mid++;
		else break;
	}
	
	kreni = mid;
	return v[mid].X;
}

int main () {

	ios_base::sync_with_stdio(false);
	cin.tie(0);
	
	cin >> n >> k;
	for (int i = 1; i <= n; i++) {
		cin >> a[i];
		p[i] = p[i-1] + a[i];
	}
	
	
	for (int i = 2; i <= k+1; i++) {
		for (int j = 1; j <= n; j++) {
			if (dp[j][0] != -INF) dodaj(j, i-1);
		}
		
		kreni = 0;
		for (int j = 1; j <= n; j++) {
			int pos = query(p[j]);
			pos = min(pos, j-1);			
			gdje[j][i] = pos;
			if (dp[pos][0] == -INF) dp[j][1] = -INF;
			else dp[j][1] = val(pos, i-1, p[j]);
			
			if (pos < 1) dp[j][1] = -INF;
		}
		
		for (int j = 1; j <= n; j++) {
			dp[j][0] = dp[j][1];
			dp[j][1] = 0; 
		}
		
		v.clear();
	}
	
	cout << dp[n][0] << "\n";
	rek(gdje[n][k+1], k);

	return 0;
}

Compilation message

sequence.cpp: In function 'int ccw(std::pair<long long int, long long int>, std::pair<long long int, long long int>, std::pair<long long int, long long int>)':
sequence.cpp:34:1: warning: control reaches end of non-void function [-Wreturn-type]
   34 | }
      | ^
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 340 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 212 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 340 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 340 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
8 Correct 0 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 0 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 0 ms 340 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 340 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 340 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 340 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 340 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 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 1 ms 340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 340 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 340 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 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 0 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 468 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 468 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 468 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 468 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 468 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 468 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 468 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 468 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1108 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1108 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 1108 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1108 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 8 ms 1188 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1108 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 1108 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 1188 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1108 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1108 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8660 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 8660 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 65 ms 8788 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 8784 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 52 ms 8756 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 56 ms 8660 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 58 ms 8788 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 48 ms 8788 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 54 ms 8836 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 64 ms 8828 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 49 ms 83988 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 48 ms 84008 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 788 ms 84160 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 48 ms 84656 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 892 ms 84208 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 651 ms 84196 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 620 ms 84776 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 519 ms 84452 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 636 ms 84424 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 710 ms 84432 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845