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Submission #995000

# Submission time Handle Problem Language Result Execution time Memory
995000 2024-06-08T09:35:32 Z Baytoro Split the sequence (APIO14_sequence) C++17
100 / 100
 706 ms 88668 KB 
#include <bits/stdc++.h>
using namespace std;
#define fr first
#define sc second
#define pb push_back
//#define int long long 
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
void fopn(string name){
	freopen((name+".in").c_str(),"r",stdin);
	freopen((name+".out").c_str(),"w",stdout);
}
#define ll long long
const int N=2e5+5;
int n;
struct line{
    ll m, b;
    ll operator *(int x){
        return m*x+b;
    }
    int operator ^(line x){
        return ceil((b-x.b)/(x.m-m));
    }
};
struct CHT{
	 deque<ll> a, b;
    deque<int> c;
 
    void init() {
        a.clear();
        b.clear();
        c.clear();
    }
 
    void push(ll n, ll m, int v) {
        while (a.size() > 1 &&
               (b[b.size() - 2] - b.back()) * (n - a.back()) >= (b.back() - m) * (a.back() - a[a.size() - 2])) {
            a.pop_back();
            b.pop_back();
            c.pop_back();
        }
        a.push_back(n);
        b.push_back(m);
        c.push_back(v);
    }
 
    pair<ll, int> query(ll x) {
        while (a.size() > 1 && (a[1] - a[0]) * x > (b[0] - b[1])) {
            a.pop_front();
            b.pop_front();
            c.pop_front();
        }
        return make_pair(a[0] * x + b[0], c[0]);
    }
};
vector<ll> dp_cur(N),dp_prev(N);
int p[N][205];
void solve(){
	int n,k;cin>>n>>k;
	vector<ll> a(n+1),pref(n+1);
	for(int i=0;i<n;i++){
		cin>>a[i];
		pref[i+1]=a[i]+pref[i];
	}
	for(int i=0;i<n-1;i++){
		dp_prev[i]=pref[i+1]*(pref[n]-pref[i+1]);
		p[i][1]=-1;
	}
	for(int j=2;j<=k;j++){
		CHT cht;
		dp_cur[0]=0;
		for(int i=1;i<n-1;i++){
			cht.push(pref[i],dp_prev[i-1],i);
			auto it=cht.query(pref[i+1]-pref[n]);
			dp_cur[i]=it.fr+pref[i+1]*pref[n]-pref[i+1]*pref[i+1];
			p[i][j]=it.sc-1;
		}
		dp_prev=dp_cur;
	}
	ll ans=0,c=0;
	for(int i=0;i<n-1;i++){
		if(ans<dp_prev[i]){
			ans=dp_prev[i];
			c=i;
		}
	}
	cout<<ans<<endl;
	for(int i=0;i<k;i++){
		cout<<c+1<<' ';
		c=p[c][k-i];
	}
}
signed main(){
	//fopn("paint");
	int t=1;//cin>>t;
	while(t--) solve();
}

Compilation message

sequence.cpp: In function 'void fopn(std::string)':
sequence.cpp:10:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   10 |  freopen((name+".in").c_str(),"r",stdin);
      |  ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:11:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   11 |  freopen((name+".out").c_str(),"w",stdout);
      |  ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3420 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 3420 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 3416 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 3492 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 3468 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 3420 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 3420 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 3416 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 3420 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 3420 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 3420 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 3420 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 3420 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 3420 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 3420 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 3420 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 3420 KB contestant found the optimal answer: 999919994 == 999919994

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3420 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 3420 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 4 ms 3624 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 3416 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 3420 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 3600 KB contestant found the optimal answer: 933702 == 933702
7 Correct 3 ms 3420 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 3416 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 3416 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 3420 KB contestant found the optimal answer: 29000419931 == 29000419931

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3672 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 3676 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 14 ms 3748 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 3504 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 12 ms 3676 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 13 ms 3752 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 14 ms 3676 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 4 ms 3676 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 4 ms 3676 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 3688 KB contestant found the optimal answer: 490686959791 == 490686959791

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5724 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 5724 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 19 ms 5724 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 5724 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 22 ms 5836 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 16 ms 5724 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 20 ms 5832 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 18 ms 5724 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 5 ms 5724 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 8 ms 5724 KB contestant found the optimal answer: 12345131038664 == 12345131038664

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12124 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 12124 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 72 ms 12124 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 12124 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 53 ms 12120 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 53 ms 12124 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 57 ms 12204 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 46 ms 12124 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 66 ms 12120 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 63 ms 12124 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798

Subtask #6
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 88144 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 30 ms 88388 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 529 ms 88656 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 33 ms 88656 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 706 ms 88400 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 465 ms 88144 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 496 ms 88664 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 395 ms 88652 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 414 ms 88668 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 524 ms 88660 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845