Submission #964210

#	Time	Username	Problem	Language	Result	Execution time	Memory
964210		Mike_Vu	Split the sequence (APIO14_sequence)	C++14	21 / 100	1368 ms	82628 KiB

sequence

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef double dou;
#define pii pair<int, int>
#define pb push_back
#define fi first
#define se second

//const ll mod = 1e9+7;

bool maximize(ll &x, ll y ){
    if (x < y) {x = y; return true;};
    return false;
}
bool minimize(ll &x, ll y){
    if (x > y) {x = y; return true;}
    return false;
}
//void add(ll &x, ll y ){
//    x += y;
//    if (x >= mod) x -= mod;
//}
//void sub(ll &x, ll y) {
//    x -= y;
//    if (x < 0) x += mod;
//}

//ll divi(ll x, ll y ){
//    if (x == 0 || y == 0) return 0;
//    return x/y - ((x^y)<0&&x%y);
//}
//
//struct Line{
//    ll m, b;
//    int pos;
//    Line(ll slope, ll intercept, int p) {
//        m = slope;
//        b = intercept;
//        pos = p;
//    }
//    ll operator () (ll x) {return m*x+b;}
//    friend ll inter(Line a, Line b){
//        return divi(b.b-a.b, a.m-b.m);
//    }
//};
//
//struct CHT{
//    vector<pair<Line, ll>> hull;
//    void init() {
//        hull.clear();
//    }
//    void update(Line a) {
//        while (!hull.empty() && hull.back().se <= (inter(hull.back().fi, a))) {
//            hull.pop_back();
//        }
//        if (hull.empty()) {
//            hull.push_back(make_pair(a, LLONG_MAX));
//            return;
//        }
//        hull.push_back(make_pair(a, inter(a, hull.back().fi)));
//    }
//    ll query(ll x) {
//        int pos = 0;
//        for (int k = hull.size()/2; k > 0; k >>= 1) {
//            while (pos+k < (int)hull.size() && hull[pos+k].se >= x) pos += k;
//        }
//        return hull[pos].fi(x);
//    }
//} cht;

const int maxn = 1e5+3, maxk = 202;
int n, k;
ll dp[maxn], dpbef[maxn], ps[maxn];
int track[maxn][maxk], a[maxn];

void dnc(int l, int r, int opl, int opr, int j) {
    if (l > r) return;
    int mid = (l + r) >> 1;
    if (mid < j) return;
    ll res = LLONG_MIN;
    int temp = -1;
    for (int i = opl; i <= min(mid, opr); i++) {
        ll cost = dpbef[i-1]+(ps[n]-ps[mid])*(ps[mid]-ps[i-1]);
        if (cost > res) {
            res = cost;
            temp = i-1;
        }
    }
    dp[mid] = res;
    track[mid][j] = temp;
    dnc(l, mid-1, opl, track[mid][j]+1, j);
    dnc(mid+1, r, track[mid][j]+1, opr, j);
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin >> n >> k;
    ps[0] = 0;
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
        ps[i] = ps[i-1] + a[i];
    }
    for (int i = 1; i < n; i++) {
        dp[i] = (ps[n]-ps[i])*(ps[i]);
    }
//    for (int j = 2; j <= k; j++) {
//        cht.init();
//        swap(dp, dpbef);
//        for (int i = j; i < n; i++) {
//            cht.update(Line(-ps[i-1], dpbef[i-1], i-1));
//            dp[i] = ps[i]*(ps[n]-ps[i])+cht.query(ps[n]-ps[i]);
//            track[i][j] = temp;
//        }
//    }
    for (int j = 2; j <= k; j++) {
        swap(dp, dpbef);
        dnc(1, n-1, 1, n-1, j);
    }
    int ans = k;
    for (int i = k; i < n; i++){
        if (dp[i] > dp[ans]) ans = i;
    }
    vector<int> tr;
    cout << dp[ans] << "\n";
    tr.pb(ans);
    while (k > 1) {
        ans = track[ans][k];
        --k;
        tr.push_back(ans);
    }
    for (int i = (int)tr.size()-1; i >= 0; i--) {
        cout << tr[i] << ' ';
    }
}
/*
7 3
4 1 3 4 0 2 3
*/

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