oj.uz

Submission #971076

# Submission time Handle Problem Language Result Execution time Memory
971076 2024-04-27T22:31:38 Z Unforgettablepl Split the sequence (APIO14_sequence) C++17
0 / 100
 32 ms 131072 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long

struct line{
    int m,n,idx_1,idx_2;
    line(int m,int n,int idx_1,int idx_2):m(m),n(n),idx_1(idx_1),idx_2(idx_2){}
    int operator()(int x) const{
        return x*m + n;
    }
};

long double intersection(line a,line b){
    return (long double)(a.n-b.n)/(long double)(b.m-a.m);
}

void addline(deque<line> &hull, line x){
    while(hull.size()>=2 and intersection(hull.back(),x)<=intersection(hull[hull.size()-2],hull.back()))hull.pop_back();
    hull.emplace_back(x);
}

tuple<int,int,int> get(deque<line> &hull, int x){
    while(hull.size()>=2 and hull.front()(x)<hull[1](x))hull.pop_front();
    return {hull.front()(x),hull.front().idx_1,hull.front().idx_2};
}

int DP[100001][202];
pair<int,int> back[100001][202];
deque<line> hulls[202];
int P[100001];

int32_t main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int n,k;
    cin >> n >> k;k++;
    for(int i=1;i<=n;i++)cin>>P[i];
    for(int i=1;i<=n;i++)P[i]+=P[i-1];
    for(int i=0;i<=k;i++)addline(hulls[i],{0,0,0,0});
    for(int i=1;i<=n;i++){
        for(int j=k;j>=1;j--){
            auto [ans,last1,last2] = get(hulls[j-1],P[i]);
            DP[i][j] = ans;
            back[i][j] = {last1,last2};
            addline(hulls[j],{P[i],DP[i][j]-P[i]*P[i],i,j});
        }
    }
    cout << DP[n][k] << '\n';
    vector<int> ans;
    auto [curr1,curr2] = back[n][k];
    while(curr1 and curr2){
        ans.emplace_back(curr1);
        auto [c1,c2] = back[curr1][curr2];curr1=c1;curr2=c2;
    }
    for(int&i:ans)cout<<i<<' ';
    cout << '\n';
}

Subtask #1
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 4444 KB contestant found the optimal answer: 999 == 999
3 Incorrect 1 ms 4444 KB Unexpected end of file - int32 expected
4 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 4444 KB contestant didn't find the optimal answer: 252308 < 1093956
2 Halted 0 ms 0 KB -

Subtask #3
0 / 11.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 4700 KB Unexpected end of file - int32 expected
2 Halted 0 ms 0 KB -

Subtask #4
0 / 17.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 8792 KB Unexpected end of file - int32 expected
2 Halted 0 ms 0 KB -

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Incorrect 8 ms 53084 KB contestant didn't find the optimal answer: 1187850 < 1818678304
2 Halted 0 ms 0 KB -

Subtask #6
0 / 29.0

# Verdict Execution time Memory Grader output
1 Runtime error 32 ms 131072 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -