Submission #310147

# Submission time Handle Problem Language Result Execution time Memory
310147 2020-10-06T00:18:10 Z sofapuden Split the sequence (APIO14_sequence) C++14
100 / 100
1700 ms 82684 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

int v[100005];
ll dp[2][100005];
int L[100005][205];
int k;

void find(int l, int r, int lb, int rb, int Z){
	if(l > r)return;
	int mid = (l+r)>>1;
	
	int pos = lb; ll ma = -1;
	for(int i = lb; i < min(mid,rb+1); ++i){
		if(ma < 1ll * dp[0][i]+ 1ll * (v[mid]-v[i])*v[i]){
			ma = 1ll * dp[0][i]+ 1ll * (v[mid]-v[i])*v[i];
			pos = i;
		}
	}
	dp[1][mid] = ma;
	L[mid][Z] = pos;
	find(l,mid-1,lb,pos,Z);
	find(mid+1,r,pos,rb,Z);
}
	

int main(){
	ios_base::sync_with_stdio(0); cin.tie(0);
	int n; cin >> n >> k;
	for(int i = 1; i <= n; ++i){
		cin >> v[i];
	}
	for(int i = 1; i <= n; ++i){
		v[i]+=v[i-1];
	}
	ll ans = 0, ind = 0;
	for(int i = 1; i<=k; ++i){
		find(1,n,1,n,i);
		for(int j = 1; j <= n; ++j)dp[0][j] = dp[1][j];
	}
	for(int i = 1; i <= n; ++i){
		if(ans < dp[0][i]){
			ind = i;
			ans = dp[0][i];
		}
	}
	cout << ans << "\n";
	if(!ans){
		for(int i = 1; i <= k; ++i){
			cout << i << " ";
		}
		cout << "\n";
		return 0;
	}
	
	while(k--){
		cout << L[ind][k+1] << " ";
		ind = L[ind][k+1];
	}
	cout << "\n";
}
	
		
	
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 384 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 384 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 512 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 512 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 512 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 512 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 512 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 512 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 512 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 512 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1152 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1152 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 1280 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1152 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 1152 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 1152 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 1152 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 1152 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 1152 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1152 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 9 ms 8576 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 8576 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 72 ms 8576 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 8576 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 78 ms 8620 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 78 ms 8576 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 68 ms 8576 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 63 ms 8576 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 70 ms 8576 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 89 ms 8576 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 67 ms 82552 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 65 ms 82552 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1238 ms 82680 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 63 ms 82552 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1700 ms 82584 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1180 ms 82680 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 990 ms 82552 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 799 ms 82680 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1028 ms 82684 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1313 ms 82680 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845