Submission #538683

# Submission time Handle Problem Language Result Execution time Memory
538683 2022-03-17T13:33:35 Z S2speed Split the sequence (APIO14_sequence) C++17
100 / 100
1298 ms 82300 KB
#include<bits/stdc++.h>

using namespace std;

#define all(x) x.begin() , x.end()
typedef long long ll;

const ll maxn = 1e5 + 16 , inf = 2e18;

ll a[maxn] , ps[maxn] , dp[maxn] , pd[maxn];
int opt[216][maxn];

ll cost(ll l , ll r){
	ll res = ps[r] - (l ? ps[l - 1] : 0);
	res *= res;
	return res;
}

void dv(ll l , ll r , ll opl , ll opr , ll j){
	if(l >= r) return;
	ll m = (r + l) >> 1 , lm = min(m - 1 , opr);
	dp[m] = inf;
	ll ind = -1;
	for(ll i = opl ; i <= lm ; i++){
		ll h = pd[i] + cost(i + 1 , m);
		if(h < dp[m]){
			dp[m] = h;
			ind = i;
		}
	}
	opt[j][m] = ind;
	dv(l , m , opl , ind , j); dv(m + 1 , r , ind , opr , j);
	return;
}

vector<ll> v;

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);

	ll n , k;
	cin>>n>>k;
	for(ll i = 0 ; i < n ; i++){
		cin>>a[i];
	}
	ps[0] = a[0];
	for(ll i = 1 ; i < n ; i++){
		ps[i] = ps[i - 1] + a[i];
	}
	for(ll i = 0 ; i < n ; i++){
		pd[i] = ps[i] * ps[i];
	}
	for(ll j = 1 ; j <= k ; j++){
		dv(j , n , j - 1 , n - 1 , j);
		memcpy(pd , dp , sizeof(dp));
	}
//	for(ll i = 0 ; i < n ; i++){
//		cout<<pd[i]<<' ';
//	}
//	cout<<'\n';
	ll h = ps[n - 1] * ps[n - 1] - dp[n - 1]; h >>= 1ll;
	cout<<h<<'\n';
	ll p = n - 1 , j = k;
	while(~j){
		v.push_back(p);
		p = opt[j--][p];
	}
	reverse(all(v));
	for(ll i = 0 ; i < k ; i++){
		cout<<v[i] + 1<<' ';
	}
	cout<<'\n';
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1108 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 1108 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 1108 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 1108 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 1108 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 1108 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 1108 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 1108 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 1108 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 1108 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 1108 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 1108 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 1108 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 1108 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 1108 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 1108 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 1108 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1108 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 1108 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 1236 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 1108 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 1108 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 1108 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 1236 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 1108 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 1108 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 1108 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1108 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 1108 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 9 ms 2040 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 1108 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 6 ms 1748 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 7 ms 2004 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 2132 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 1284 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 1236 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 4 ms 1364 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 1160 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 16 ms 2772 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1108 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 14 ms 2800 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 12 ms 2516 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 2772 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 2724 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1492 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 7 ms 1736 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1492 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 1492 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 63 ms 9928 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 1492 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 74 ms 6488 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 67 ms 7372 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 57 ms 7924 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 51 ms 6644 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 67 ms 7460 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 86 ms 9168 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 23 ms 4556 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 22 ms 4604 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 669 ms 82300 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 20 ms 5204 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1298 ms 81984 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 813 ms 58456 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 605 ms 62632 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 468 ms 51552 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 616 ms 58508 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 810 ms 74140 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845