Submission #964190

# Submission time Handle Problem Language Result Execution time Memory
964190 2024-04-16T11:59:07 Z Mike_Vu Split the sequence (APIO14_sequence) C++14
100 / 100
1270 ms 85704 KB
#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);
}

int temp;

struct Line{
    ll m, b;
    int pos;
    Line(ll slope, ll intercept, int p) {
        m = slope;
        b = intercept;
        pos = p;
    }
    ll operator () (ll x) {temp = pos; 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];

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;
        }
    }
    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
*/
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5980 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 5980 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 2396 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 5980 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 5980 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 2392 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 5980 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 6232 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 5980 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 5980 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 5980 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 5980 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 5976 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 5980 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 5976 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5976 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 5976 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 5980 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 5980 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 5980 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 5980 KB contestant found the optimal answer: 933702 == 933702
7 Correct 3 ms 5976 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 5980 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 5980 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 5980 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5976 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 5980 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 15 ms 5976 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 5980 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 11 ms 5980 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 14 ms 6232 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 19 ms 6144 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 5980 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 4 ms 6096 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 5976 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5980 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 5980 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 22 ms 6176 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 5980 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 23 ms 5980 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 20 ms 5976 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 23 ms 5980 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 21 ms 5980 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 6 ms 5976 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 12 ms 5980 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 12508 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 12508 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 111 ms 12768 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 12764 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 82 ms 12512 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 100 ms 12512 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 90 ms 12768 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 87 ms 12764 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 85 ms 12768 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 120 ms 12768 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 48 ms 84652 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 38 ms 84720 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1216 ms 85704 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 38 ms 85704 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1270 ms 84936 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1089 ms 84776 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 934 ms 85704 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 907 ms 85700 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 892 ms 85348 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1161 ms 85532 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845