Submission #670248

# Submission time Handle Problem Language Result Execution time Memory
670248 2022-12-08T12:30:45 Z fatemetmhr Split the sequence (APIO14_sequence) C++17
100 / 100
413 ms 84664 KB
// hmmm... na dige chizi baraye goftan namoonde


#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

#define all(x) x.begin(), x.end()
#define pb     push_back
#define fi     first
#define se     second

const int maxn5 = 1e5 + 10;
const int maxk  = 203;
const ll  inf   = 1e18;

struct __cht{

    int sz, pt;
    pair <pair<ll, int>, pair<ll, ll>> a[maxn5]; // {{start, ind}, {const, shib}}

    void clear(){
        sz = pt = 0;
    }

    ll inter(pair<ll, ll> a, pair<ll, ll> b){
        if(a.se == b.se)
            return a.fi > b.fi ? inf : -inf;
        return (a.fi - b.fi) / (b.se - a.se) + ((a.fi - b.fi) % (b.se - a.se) > 0);
    }

    void add(ll c, ll s, int id){
        while(sz && inter(a[sz - 1].se, {c, s}) <= a[sz - 1].fi.fi)
            sz--;
        a[sz] = {{-inf, id}, {c, s}};
        if(sz)
            a[sz].fi.fi = inter(a[sz - 1].se, a[sz].se);
        sz++;
    }

    pair<ll, int> get_max(ll x){
        while(pt + 1 < sz && a[pt + 1].fi.fi <= x)
            pt++;
        return {a[pt].se.fi + a[pt].se.se * x, a[pt].fi.se};
    }

} cht;

ll ps[maxn5], dp[2][maxn5];
int par[maxk][maxn5];
bool mark[maxn5];

int main(){
    ios_base::sync_with_stdio(false); cin.tie(0);

    int n, k; cin >> n >> k;
    for(int i = 0; i < n; i++){
        int a; cin >> a;
        ps[i] = a + (i ? ps[i - 1] : 0);
    }

    for(int t = 1; t <= k; t++){
        cht.clear();
        cht.add(0, 0, -1);
        for(int i = 0; i < n; i++){
            auto tmp = cht.get_max(ps[i]);
            dp[t&1][i] = tmp.fi;
            par[t][i] = tmp.se;
            cht.add(dp[(t&1)^1][i] - ps[i] * ps[i], ps[i], i);
        }
    }

    cout << dp[k&1][n - 1] << endl;

    int v = n - 1, t = k;
    while(t){
        if(par[t][v] == -1)
            break;
        cout << par[t][v] + 1 << ' ';
        v = par[t][v];
        mark[v] = true;
        t--;
    }
    for(int i = 0; i < n && t; i++) if(!mark[i]){
        cout << i + 1 << ' ';
        t--;
    }
    cout << endl;

}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 3412 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 3412 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 3412 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 3412 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 3464 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 3412 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 3412 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 3412 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 3412 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 3412 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 3464 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 3412 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 3412 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 3412 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 3412 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 3412 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 3412 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 3412 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 3412 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 3668 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 3412 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 3468 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 3412 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 3540 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 3412 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 3412 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 3540 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 3412 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 3412 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 4436 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 3412 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 4052 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 4308 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 4436 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 3668 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 3540 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 3668 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 3412 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 3412 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 5128 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 3412 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 8 ms 5124 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 5 ms 4948 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 5204 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 5 ms 5128 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 3796 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 4180 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 3796 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 3796 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 42 ms 12348 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 3796 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 26 ms 8940 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 32 ms 9728 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 37 ms 10272 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 27 ms 8924 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 31 ms 9760 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 38 ms 11504 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 13 ms 6996 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 13 ms 7192 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 413 ms 84664 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 16 ms 7508 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 409 ms 84364 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 308 ms 60824 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 323 ms 65008 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 258 ms 54052 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 288 ms 61008 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 373 ms 76772 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845