Submission #398105

# Submission time Handle Problem Language Result Execution time Memory
398105 2021-05-03T16:57:54 Z tengiz05 Split the sequence (APIO14_sequence) C++17
100 / 100
1427 ms 81012 KB
#include <bits/stdc++.h>
using namespace std;
inline long long msb(long long val){return 63-__builtin_clzll(val);}
inline int msb(int val){return 31-__builtin_clz(val);}
#define int long long
#define FASTIO ios_base::sync_with_stdio(false); cin.tie(NULL);
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define pii pair<int, int>
#define ff first
#define ss second
#define PI acos(-1)
#define ld long double
template<class T> bool chmin(T& a, const T& b) {return a>b? a=b, true:false;}
template<class T> bool chmax(T& a, const T& b) {return a<b? a=b, true:false;}
const int mod = 1e9+7, N = 1e5+5;
int a[N], n, m, k;
vector<int> old_dp, new_dp;
int32_t par[201][N];
inline int cost(int l, int r){
	return (a[r] - a[l-1]) * (a[n]-a[r]);
}
int K;
void divide_and_conquer(int l, int r, int optl, int optr){
	if(l > r)return;
	pii opt = {-1, -1};
	int mid = (l+r)/2;
	for(int i=optl;i<=min(mid-1, optr);i++){
		chmax(opt, pii{old_dp[i] + cost(i+1,mid),i});
	}
	par[K][mid] = opt.second;
	new_dp[mid] = opt.first;
	divide_and_conquer(l,mid-1,optl,opt.second);
	divide_and_conquer(mid+1,r,opt.second,optr);
}
void solve(int test_case){
	int i, j;
	cin >> n >> k;
	old_dp.assign(n+1,0);
	new_dp.assign(n+1,0);
	for(i=1;i<=n;i++)cin >> a[i], a[i] += a[i-1];
	for(i=1;i<=n;i++){
		new_dp[i] = cost(1,i);
		par[1][i] = 0;
	}
	for(j=2;j<=k;j++){
		K = j;
		swap(old_dp, new_dp);
		divide_and_conquer(j,n,1,n);
	}
	int ans = -1, idx = -1;
	for(i=1;i<=n;i++)if(chmax(ans, new_dp[i]))idx = i;
	cout << ans << '\n';
	vector<int> res;
	for(j=k;j>=1;j--){
		res.pb(idx);
		idx = par[j][idx];
	}reverse(all(res));
	for(auto x : res)cout << x << ' ';
	cout << '\n';
	return;
}

signed main(){
	FASTIO;
//~ #define MULTITEST 1
#if MULTITEST
	int _T;
	cin >> _T;
	for(int T_CASE = 1; T_CASE <= _T; T_CASE++)
		solve(T_CASE);
#else
	solve(1);
#endif
	return 0;
}




# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 204 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 332 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 332 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 332 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 332 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 332 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 460 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 332 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 332 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 332 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1228 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 332 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 976 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1228 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1356 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 460 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 588 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 6 ms 1996 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 332 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 1996 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 1744 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 1996 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 1996 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 588 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 972 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 588 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 588 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 77 ms 9220 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 588 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 75 ms 5668 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 74 ms 6616 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 64 ms 6976 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 43 ms 5744 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 64 ms 6620 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 83 ms 8260 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 25 ms 3780 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 21 ms 3788 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 683 ms 80884 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 18 ms 3836 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1427 ms 81012 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 879 ms 57472 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 690 ms 61396 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 488 ms 50472 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 686 ms 57488 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 879 ms 73140 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845