Submission #461255

# Submission time Handle Problem Language Result Execution time Memory
461255 2021-08-09T15:51:38 Z hhhhaura Split the sequence (APIO14_sequence) C++14
100 / 100
445 ms 88680 KB
#define wiwihorz
#pragma GCC optimize("Ofast")
#pragma loop-opt(on)
#include <bits/stdc++.h>

#define rep(i, a, b) for(int i = a; i <= b; i ++)
#define rrep(i, a, b) for(int i = b; i >= a; i--)
#define all(x) x.begin(), x.end()
#define ceil(a, b) ((a + b - 1) / (b))

#define INF 1000000000000000000
#define MOD 1000000007
#define eps (1e-9)

using namespace std;

#define lld long double
#define int long long int
#define pii pair<int, int>
#define random mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count())

#ifdef wiwihorz
#define print(a...) cerr << "Line " << __LINE__ <<": ", kout("[" + string(#a) + "] = ", a)
void kout() {cerr << endl;}
void vprint(auto L, auto R) { while(L < R) cerr << *L << " \n"[next(L) == R], ++L;}
template<class T1, class ... T2> void kout(T1 a, T2 ... e) { cerr << a << " ", kout(e...); }
#else
#define print(...) 0
#define vprint(...) 0
#endif
#define a first
#define b second
namespace solver {
	int n, k;
	vector<int> dp[2], pre, a, pos;
	vector<vector<signed>> rec;
	vector<signed> ans;
	int get_val(pii p, int x) {
		return p.a * x + p.b;	
	}
	bool check(pii i, pii j, pii k) {
		return (i.a - j.a) * (k.b - i.b) <
			(j.b - i.b) * (i.a - k.a);
	}	
	void init_(int _n, int _k) {
		n = _n, k = _k;
		dp[0].assign(n + 1, 0);
		dp[1].assign(n + 1, 0);
		pre.assign(n + 1, 0);
		a.assign(n + 1, 0);
		ans.assign(n + 1, 0);
		rec.assign(k + 10, vector<signed>(n + 1, 0));
	}
	void output(int y, int x) {	
		if(y != 2) output(y - 1, rec[y][x]);
		cout << rec[y][x] << " \n"[y == k + 1];
	}
	void solve() {
		vector<pii> q(n + 5, {0, 0});
		pos.assign(n + 5, 0); 
		rep(i, 1, n) pre[i]  = pre[i - 1] + a[i];
		rep(l, 1, k + 1) {
			int id = l & 1, L = 1, R = 1;
			q[1] = {-pre[l - 1], dp[!id][l - 1]};
			pos[1] = l - 1;
			rep(i, l, n) {
				int suf = pre[n] - pre[i];
				while(L < R && get_val(q[L], suf) <=
					get_val(q[L + 1], suf)) L ++;
				dp[id][i] = get_val(q[L], suf) + pre[i] * suf;
				rec[l][i] = pos[L];
				pii cur = {-pre[i], dp[!id][i]};
				while(R > L && !check(q[R - 1], q[R], cur)) R--;
				q[++R] = cur, pos[R] = i;
			}
		}
		cout << dp[(k + 1) & 1][n] << "\n";
		output(k + 1, n);
	}
};
using namespace solver;
signed main() {
	ios::sync_with_stdio(false), cin.tie(0);
	int n, k;
	cin >> n >> k;
	init_(n, k);
	rep(i, 1, n) cin >> a[i];
	solve();
	return 0;
}

Compilation message

sequence.cpp:3: warning: ignoring '#pragma loop ' [-Wunknown-pragmas]
    3 | #pragma loop-opt(on)
      | 
sequence.cpp:25:13: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
   25 | void vprint(auto L, auto R) { while(L < R) cerr << *L << " \n"[next(L) == R], ++L;}
      |             ^~~~
sequence.cpp:25:21: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
   25 | void vprint(auto L, auto R) { while(L < R) cerr << *L << " \n"[next(L) == R], ++L;}
      |                     ^~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 292 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 204 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 204 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 204 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 204 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 204 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 204 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 204 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 204 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 204 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 204 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 204 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 204 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 312 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 204 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 204 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 204 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 204 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 204 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 204 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 204 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 204 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 204 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 204 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 204 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 204 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 1 ms 460 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 204 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 332 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 460 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 460 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 332 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 332 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 332 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 3 ms 1100 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 332 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 5 ms 1200 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 5 ms 972 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 4 ms 1100 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 3 ms 1100 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 1 ms 460 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 2 ms 728 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1356 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 1356 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 32 ms 9116 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 1356 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 29 ms 5964 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 29 ms 6812 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 31 ms 7116 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 20 ms 6092 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 24 ms 6824 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 30 ms 8368 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 19 ms 11268 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 19 ms 11272 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 277 ms 88680 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 19 ms 11204 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 445 ms 88676 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 288 ms 65104 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 315 ms 69076 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 204 ms 58036 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 227 ms 65236 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 289 ms 80840 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845