Submission #975634

# Submission time Handle Problem Language Result Execution time Memory
975634 2024-05-05T15:18:35 Z dosts Split the sequence (APIO14_sequence) C++17
60 / 100
330 ms 131072 KB
//Dost SEFEROĞLU
#pragma GCC optimize("O3,unroll-loops,Ofast")
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int,int>
#define ff first
#define ss second
#define sp << " " << 
#define vi vector<int>
const int N = 1e5+1, K = 2e2+1,inf = 1e18;


int dp[N][K];

bool Q;

struct Line {
	mutable int a,b,p;
	bool operator < (const Line& o) const{
		return Q ? p < o.p : a < o.a;
	};
};

struct CHT : multiset<Line> {
	int div(int a,int b) {
		return a/b - ((a^b) < 0 && a%b);
	}
	bool intersect(iterator x,iterator y) {
		if (y == end()) return x->p = inf,0;
		if (x->a == y->a) x->p = x->b <= y->b ? -inf : inf;
		else x->p = div(y->b-x->b,x->a-y->a);
		return x->p >= y->p;
	}

	void add(int a,int b) {
		auto z = insert({a,b,0}),y = z++,x = y;
		while (intersect(y,z)) z = erase(z);
		if (x != begin() && intersect(--x,y)) intersect(x,y = erase(y));
		while ((y = x) != begin() && (--x)->p >= y->p) intersect(x,erase(y));
	}

	int query(int x) {
		Q = 1;
		auto it = *lower_bound({0,0,x});
		Q = 0;
		return it.a*x+it.b;
	}
};

void solve() {
	int n,k;
	cin >> n >> k;
	vi a(n+1),p(n+1,0);
	for (int i=1;i<=n;i++) cin >> a[i];	
	for (int i=1;i<=n;i++) p[i] = p[i-1]+a[i];
	for (int j=1;j<=k;j++) {
		CHT cht;
		cht.add(0,0);
		for (int i=1;i<=n;i++) {
			dp[i][j] = cht.query(p[i]);
			cht.add(p[i],dp[i][j-1]-(p[i]*p[i]));
		}
	}
	cout << dp[n][k] << endl;
	vi cuts;
	int ptr = n,ptr2 = k;
	while (ptr2) {
		for (int j=1;j<=n;j++) {
			if (dp[j][ptr2-1]+(p[ptr]-p[j])*p[j] == dp[ptr][ptr2]) {
				cuts.push_back(j);
				ptr = j;
				ptr2--;
				break;
			}
		}
	}
	reverse(cuts.begin(),cuts.end());
	for (auto it : cuts) cout << it << " ";
	cout << endl;
}
                
                            
signed main() { 
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    #ifdef Dodi
        freopen("in.txt","r",stdin);
        freopen("out.txt","w",stdout);
    #endif
    int t = 1;
    //cin >> t; 
    while (t --> 0) solve();
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 348 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 348 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 348 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 348 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 348 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 344 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 344 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 348 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 348 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 344 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 348 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 344 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 348 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 348 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 348 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 348 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 348 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 348 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 348 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 348 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 348 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 348 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 348 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 348 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 348 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 600 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 604 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 632 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 968 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Incorrect 3 ms 600 KB position 1 occurs twice in split scheme
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1884 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 1880 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 17 ms 1880 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 1884 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 19 ms 1884 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 17 ms 1884 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 19 ms 1884 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 18 ms 2116 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 5 ms 1884 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 9 ms 1996 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 13 ms 16704 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 11 ms 16732 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 330 ms 16988 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 13 ms 16984 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 164 ms 16732 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 201 ms 16856 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 205 ms 17008 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 172 ms 16984 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 189 ms 16732 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 242 ms 16984 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Runtime error 75 ms 131072 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -