Submission #948109

#TimeUsernameProblemLanguageResultExecution timeMemory
948109steveonalexSplit the sequence (APIO14_sequence)C++11
0 / 100
2234 ms131076 KiB
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ll mask){return __builtin_ctzll(mask);}
int logOf(ll mask){return 63 - __builtin_clzll(mask);}
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
 
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
 
template <class T>
    void printArr(T& container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }
 
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }
 
const int N = 1e5 + 69, K = 201;
const int INF = 1e9 + 69;
int a[N], pref[N];
int dp[K][N];
 
int main(void){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
 
    int n, k; cin >> n >> k;
    for(int i = 1; i<=n; ++i) cin >> a[i];
    for(int i = 1; i<=n; ++i) pref[i] = pref[i-1] + a[i];

    for(int layer=  0; layer <= k; ++layer) 
    for(int i = 0; i<=n; ++i) dp[layer][i] = -INF;

    dp[0][0] = 0;
    for(int layer = 1; layer <= k+1; ++layer){
        for(int i = layer; i<=n; ++i) {
            for(int j = i; j>=layer; --j) {
                int s1 = pref[i] - pref[j-1], s2 = pref[j-1];
                maximize(dp[layer][i], dp[layer - 1][j-1] + s1 * s2);
            }
        }
    }

    cout << dp[k+1][n] << "\n";

    int i = n;
    for(int layer = k + 1; layer >= 2; --layer){
        for(int j = i; ; --j){
            int s1 = pref[i] - pref[j-1], s2 = pref[j-1];
            if (dp[layer][i] == dp[layer-1][j-1] + s1 * s2){
                cout << j - 1 << " ";
                i = j - 1;
                break;
            }

        }
    }
    cout << "\n";

    return 0;
}
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