Submission #949959

# Submission time Handle Problem Language Result Execution time Memory
949959 2024-03-20T01:15:07 Z irmuun Split the sequence (APIO14_sequence) C++17
100 / 100
304 ms 83792 KB
#include<bits/stdc++.h>

using namespace std;

#define ll long long
#define pb push_back
#define ff first
#define ss second
#define all(s) s.begin(),s.end()
#define rall(s) s.rbegin(),s.rend()

int n,k;
int bef[205][100005];
ll a[100005],pre[100005],dp[2][100005],q[100005],l=1,r=1;
bool case1(int x, int y, int i) {
	return (dp[0][y] - dp[0][x] >= (pre[y] - pre[x]) * (pre[n] - pre[i]));
}

bool case2(int x, int y, int i) {
	return ((dp[0][y] - dp[0][x]) * (pre[i] - pre[y]) <=
	        (dp[0][i] - dp[0][y]) * (pre[y] - pre[x]));
}

int main(){
    ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    cin>>n>>k;
    pre[0]=0;
    for(ll i=1;i<=n;i++){
        cin>>a[i];
        pre[i]=pre[i-1]+a[i];
    }
    fill(dp[0],dp[0]+n+5,0);
    for(ll j=1;j<=k;j++){
        q[r]=0;
        r++;
        for(ll i=1;i<=n;i++){
            while(r-l>1&&case1(q[l],q[l+1],i)){
                l++;
            }
            ll x=q[l];
            dp[1][i]=dp[0][x]+(pre[i]-pre[x])*(pre[n]-pre[i]);
			bef[j][i]=x;
			while(r-l>1&&case2(q[r-2],q[r-1],i)){
			    r--;
			}
			q[r++]=i;
        }
        l=1;
        r=1;
        for(ll i=1;i<=n;i++){
            dp[0][i]=dp[1][i];
        }
    }
    ll mx=-1,ind=-1;
    for(ll i=1;i<=n;i++){
        if(dp[0][i]>mx){
            mx=dp[0][i];
            ind=i;
        }
    }
    cout<<mx<<"\n";
    for(ll i=0;i<k;i++){
        cout<<ind<<' ';
        ind=bef[k-i][ind];
    }
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 6488 KB contestant found the optimal answer: 108 == 108
2 Correct 3 ms 6492 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 6492 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 6492 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 8540 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 6488 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 6492 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 6492 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 6492 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 6492 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 6492 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 6492 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 6492 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 6492 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 6492 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 6492 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 6492 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 6492 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 24920 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 6488 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 8540 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 8540 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 14684 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 8540 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 8540 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 10588 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 6492 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 29 ms 82448 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 6496 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 7 ms 59744 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 9 ms 76240 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 9 ms 82524 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 22876 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 6 ms 16736 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 9 ms 26972 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 6492 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 23 ms 82524 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 6492 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 12 ms 82524 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 72276 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 11 ms 82524 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 82432 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 20828 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 37396 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 ms 6492 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 6616 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 24 ms 82524 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 6492 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 27 ms 51804 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 23 ms 59864 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 27 ms 64092 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 18 ms 53848 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 21 ms 59996 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 26 ms 76376 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 8 ms 6748 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 8 ms 6748 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 158 ms 83792 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 8 ms 7000 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 304 ms 83024 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 180 ms 60124 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 209 ms 64440 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 137 ms 54284 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 141 ms 60240 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 180 ms 76772 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845