Submission #41945

# Submission time Handle Problem Language Result Execution time Memory
41945 2018-02-22T06:19:29 Z cmaster Split the sequence (APIO14_sequence) C++14
100 / 100
686 ms 85880 KB
#include <bits/stdc++.h>
/*#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/detail/standard_policies.hpp>*/
 
#define pb push_back
#define mp make_pair
#define sz(s) ((int)(s.size()))
#define all(s) s.begin(), s.end()
#define rep(i, a, n) for (int i = a; i <= n; ++i)
#define per(i, n, a) for (int i = n; i >= a; --i)
#define onlycin ios_base::sync_with_stdio(false); cin.tie(0) 
#define F first
#define S second
using namespace std;
// using namespace __gnu_pbds;
typedef long long ll;
typedef unsigned long long ull;
/*typedef tree<
pair < int, int >,
null_type,
less< pair < int, int > >,
rb_tree_tag,
tree_order_statistics_node_update>
ordered_set;*/
// find_by_order() order_of_key()
const int MAXN = (int)1e5+228;
const char nxtl = '\n';
const int mod = (int)1e9+7;
const double eps = (double)1e-7;
template<typename T> inline bool updmin(T &a, const T &b) {return a > b ? a = b, 1 : 0;}
template<typename T> inline bool updmax(T &a, const T &b) {return a < b ? a = b, 1 : 0;}
#define ld long double
struct line {
	ll slope, delta;
	int id;
	line(ll _slope = 0, ll _delta = 0, int _id = 0) {
		slope = _slope, delta = _delta, id = _id;
	}
	inline ld intersection(const line &X) const {
		return (delta - X.delta - 0.0) / (X.slope - slope - 0.0);
	}
	inline ll get(const ll &x) {
		return slope*x + delta;
	}
};
vector < line > have;
int ptr = 0;
inline void addLine(const line &X) {
	while(sz(have) > 1) {
		ld int1 = have.back().intersection(have[sz(have)-2]);
		if(X.slope == have.back().slope) {
			if(X.delta >= have.back().delta) {
				have.pop_back(); continue;
			}
			assert(0);
			return;
		}
		ld int2 = X.intersection(have.back());
		if(int2 <= int1) have.pop_back();
		else break;
	}
	have.pb(X);
	updmin(ptr, sz(have)-1);
}
inline int Find(ll x) {
	while(ptr+1 < sz(have) && have[ptr].get(x) <= have[ptr+1].get(x)) ptr++;
	return ptr;
}

int n, k, a[MAXN], come[202][MAXN];
ll pref[MAXN], dp[2][MAXN];

int main() {
	#ifdef accepted
		freopen(".in", "r", stdin);
		freopen(".out", "w", stdout);
	#endif
	onlycin;
	cin >> n >> k;
	rep(i, 1, n) cin >> a[i];
	rep(i, 1, n) pref[i] = pref[i-1]+a[i];
	rep(i, 1, n) dp[1][i] = 0;
	memset(come, 255, sizeof come);
	rep(ii, 2, k+1) {
		int i = ii%2;
		rep(j, 1, n) dp[i][j] = -(ll)1e17;
		ptr = 0;
		have.clear();
		addLine(line(pref[ii-1], dp[i^1][ii-1]-pref[ii-1]*pref[ii-1], ii-1));
		rep(j, ii, n) {
			int idd = Find(pref[j]);
			dp[i][j] = have[idd].get(pref[j]);
			come[ii][j] = have[idd].id;
			addLine(line(pref[j], dp[i^1][j]-pref[j]*pref[j], j));
			/* rep(j1, 1, j-1) {
				if(updmax(dp[i][j], dp[i^1][j1] + pref[j]*pref[j1]-pref[j1]*pref[j1])) come[ii][j] = j1;
			}*/
		}
	}
	k++;
	cout << dp[k&1][n] << nxtl;
	vector < int > res;
	int i = n;
	while(come[k][i] > 0) {
		res.pb(come[k][i]);
		i = come[k][i];
		k--;
	}
	sort(all(res));
	for(auto &to : res) cout << to << ' ';
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 60 ms 79488 KB contestant found the optimal answer: 108 == 108
2 Correct 58 ms 79580 KB contestant found the optimal answer: 999 == 999
3 Correct 57 ms 79784 KB contestant found the optimal answer: 0 == 0
4 Correct 58 ms 79784 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 58 ms 79784 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 57 ms 79784 KB contestant found the optimal answer: 1 == 1
7 Correct 58 ms 79784 KB contestant found the optimal answer: 1 == 1
8 Correct 60 ms 79784 KB contestant found the optimal answer: 1 == 1
9 Correct 58 ms 79784 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 57 ms 79784 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 58 ms 79784 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 57 ms 79784 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 61 ms 79836 KB contestant found the optimal answer: 140072 == 140072
14 Correct 57 ms 79836 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 57 ms 79836 KB contestant found the optimal answer: 805 == 805
16 Correct 57 ms 79836 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 58 ms 79836 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 60 ms 79836 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 57 ms 79836 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 57 ms 79836 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 57 ms 79836 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 57 ms 79860 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 58 ms 79860 KB contestant found the optimal answer: 933702 == 933702
7 Correct 58 ms 79860 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 59 ms 79860 KB contestant found the optimal answer: 687136 == 687136
9 Correct 56 ms 79860 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 57 ms 79860 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 57 ms 79860 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 59 ms 79860 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 58 ms 79860 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 58 ms 79888 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 60 ms 79888 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 63 ms 79888 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 57 ms 79888 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 58 ms 79888 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 60 ms 79952 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 59 ms 79952 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 57 ms 79952 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 57 ms 79952 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 61 ms 79952 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 57 ms 79952 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 62 ms 79980 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 62 ms 79980 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 62 ms 79980 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 61 ms 79980 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 59 ms 79980 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 58 ms 79980 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 60 ms 80424 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 59 ms 80428 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 101 ms 80684 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 59 ms 80684 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 93 ms 80684 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 106 ms 80684 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 110 ms 80684 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 86 ms 80684 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 90 ms 80684 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 99 ms 80684 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 87 ms 85724 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 76 ms 85724 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 506 ms 85728 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 77 ms 85856 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 686 ms 85856 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 455 ms 85880 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 520 ms 85880 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 362 ms 85880 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 371 ms 85880 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 485 ms 85880 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845