Submission #308806

# Submission time Handle Problem Language Result Execution time Memory
308806 2020-10-02T00:42:47 Z jainbot27 Split the sequence (APIO14_sequence) C++17
100 / 100
1710 ms 82296 KB
#include <bits/stdc++.h>
using namespace std;

#define f first
#define s second
#define pb push_back
#define ar array
#define all(x) x.begin(), x.end()
#define siz(x) (int)x.size()

#define FOR(x, y, z) for(int x = (y); x < (z); x++)
#define ROF(x, z, y) for(int x = (y-1); x >= (z); x--)
#define F0R(x, z) FOR(x, 0, z)
#define R0F(x, z) ROF(x, 0, z)
#define trav(x, y) for(auto&x:y)

using ll = long long;
using vi = vector<int>;
using vl = vector<long long>;
using pii = pair<int, int>;
using vpii = vector<pair<int, int>>;

template<class T> inline bool ckmin(T&a, T b) {return b < a ? a = b, 1 : 0;}
template<class T> inline bool ckmax(T&a, T b) {return b > a ? a = b, 1 : 0;}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const char nl = '\n';
const int mxN = 2e5 + 10;
const int mxK = 201;
const int MOD = 1e9 + 7;
const long long infLL = 1e18;
ll dp[2][mxN]; int L[mxN][mxK]; ll p[mxN], a[mxN], n, K;
void divi(int k, int l, int r, int opt_l, int opt_r){
    if(l > r) return;
    int m = (l+r)/2;
    int pos = opt_l; ll ma = -infLL;
    for(int i = opt_l; i <= min(m-1, opt_r); i++){
        if(ckmax(ma, 1LL*dp[0][i]+1LL*(p[m]-p[i])*p[i])){
            pos = i;
        }
    }
    dp[1][m] = ma;
    L[m][k] = pos;
    divi(k, l, m-1, opt_l, pos);
    divi(k, m+1, r, pos, opt_r);
}


int32_t main(){
    ios_base::sync_with_stdio(0); cin.tie(0);
    cin >> n >> K;
    FOR(i, 1, n+1){
        cin >> a[i];
        p[i] = a[i] + p[i-1];
    }
    if(n==2){
        assert(K==1);
        cout << a[1]*a[2] << nl;
        cout << 1 << nl;
        return 0;
    }
    ll bst = 0, val = 0;
    FOR(i, 1, K+1){
        divi(i, 1, n, 1, n);
        FOR(j, 1, n+1) dp[0][j] = dp[1][j];
        // cout << nl;
        if(i==K){
            FOR(j, 1, n+1){
                if(ckmax(val, dp[0][j])){
                    bst = j;
                }
            }
        }
    }
    vi res;
    cout << val << nl;
    int k = K; 
    while(k>0){
        res.pb(L[bst][k]);
        bst = L[bst][k];
        k--;
    }
    // cout << L[bst][1] << nl;
    // assert(siz(res)==K);
    trav(x, res){
        cout << x << ' ';
    }
    cout << nl;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 384 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 384 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 512 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 512 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 512 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 512 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 512 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 512 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 512 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 512 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1152 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1152 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 5 ms 1152 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 1152 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 1152 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1152 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 1152 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 5 ms 1152 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 1152 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1152 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 8 ms 8576 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 8576 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 74 ms 8696 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 8576 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 78 ms 8576 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 76 ms 8576 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 68 ms 8604 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 49 ms 8576 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 68 ms 8576 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 86 ms 8576 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 71 ms 82168 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 69 ms 82168 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1243 ms 82296 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 66 ms 82168 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1710 ms 82212 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1206 ms 82296 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1034 ms 82296 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 832 ms 82276 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1050 ms 82296 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1321 ms 82296 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845