Submission #1105282

#	Time	Username	Problem	Language	Result	Execution time	Memory
1105282		ducanh1234	Split the sequence (APIO14_sequence)	C++17	0 / 100	5 ms	1104 KiB

sequence

#include<bits/stdc++.h>
using namespace std;
#define FOR(i, a, b) for(int i = (a); i <= (b); ++(i))
#define all(x) x.begin(), x.end()
 
const int mxN = 1e5 + 6;
 
int a[mxN], pre[mxN];
 
auto sumSegment(int l, int r) { 
    return pre[r] - (l > 0 ? pre[l - 1] : 0); 
}
 
auto getMidPos(int l, int r){
    return lower_bound(pre + l, pre + r + 1, (l > 0 ? sumSegment(0, l - 1) : 0) + (sumSegment(l, r) / 2)) - pre;
} 
auto maxPointInSeg(int l, int r){
    int midPos = getMidPos(l, r);
    int64_t point = 1LL * sumSegment(l, midPos) * sumSegment(midPos + 1, r);
    assert(l != r);
    return point;
}
 
struct Segment{
    int l, r;
    Segment(int _l, int _r): l(_l), r(_r) {}
 
    bool operator < (const Segment& other) const{
        return maxPointInSeg(l, r) > maxPointInSeg(other.l, other.r); 
    } 
};
 
void solve() {
    int n, k; 
    cin >> n >> k;
    
    for(int i = 0; i < n; ++i){
        cin >> a[i];
        pre[i] = (i > 0 ? pre[i-1] : 0) + a[i];
    }
    
    set<Segment> val;
    vector<int> pos;
    val.insert(Segment(0, n - 1));
 
    int64_t ans = 0;
    for(int i = 1; i <= k; ++i){
        auto [l, r] = *val.begin();
        val.erase(val.begin());
        ans += maxPointInSeg(l, r);
        auto midPos = getMidPos(l, r);
        pos.push_back(midPos+1);
        if(midPos > l) val.insert(Segment(l, midPos));
        if(midPos + 1 < r) val.insert(Segment(midPos + 1, r));
    }
    cout << ans << "\n";
    for(auto& p : pos)
        cout << p << ' ';
}
 
 
int main() {
    ios_base::sync_with_stdio(false); cin.tie(NULL);
    solve();
    return 0;   
}

• Subtask 1: 0 / 11
• Subtask 2: 0 / 11
• Subtask 3: 0 / 11
• Subtask 4: 0 / 17
• Subtask 5: 0 / 21
• Subtask 6: 0 / 29