Submission #892125

#	Time	Username	Problem	Language	Result	Execution time	Memory
892125		ShaShi	Split the sequence (APIO14_sequence)	C++17	71 / 100	116 ms	131072 KiB

sequence

#include <bits/stdc++.h>
#define int long long 
#define F first
#define S second
#define kill(x) cout << x << endl, exit(0);
#define all(x) x.begin(), x.end()
#define pb push_back
#define mp make_pair
#define pii pair<int, int>
#define endl "\n"


using namespace std;
typedef long long ll;
typedef long double ld;


const int MAXN = (int)1e5 + 70;
const int K = 220;
const int MOD = 998244353;
const int INF = (int)3e18 + 7;



int n, m, t, k, q, u, v, w, tmp, tmp2, tmp3, tmp4, tmp5, flag, ans;
int arr[MAXN], ps[MAXN], opt[MAXN][K];
int dp[MAXN][K];


int cost(int x, int k, int s) {
    int res = ps[x]-ps[s-1];
    return dp[s-1][k-1]+res*(res-1)/2;
}


#define mid ((l+r)>>1)

void Divide(int ind, int l, int r, int s, int t) {
    if (l > r) return;

    for (int i=s; i<=min(mid, t); i++) {
        if (opt[mid][ind] == -1 || cost(mid, ind, opt[mid][ind]) > cost(mid, ind, i)) opt[mid][ind] = i;
    }

    dp[mid][ind] = cost(mid, ind, opt[mid][ind]);

    Divide(ind, l, mid-1, s, opt[mid][ind]);
    Divide(ind, mid+1, r, opt[mid][ind], t);
}




int32_t main() {
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    cin >> n >> k;
    k++;

    for (int i=1; i<=n; i++) {
        cin >> arr[i];
        ps[i] = ps[i-1]+arr[i];
    }

    for (int j=0; j<=k; j++) for (int i=0; i<=n; i++) dp[i][j] = INF, opt[i][j] = -1;
    dp[0][0] = 0;

    for (int i=1; i<=k; i++) Divide(i, 1, n, 1, n);

    cout << ps[n]*(ps[n]-1)/2 - dp[n][k] << endl;

    tmp = n;

    for (int i=0; i<k-1; i++) cout << (tmp = opt[tmp][k-i]-1) << " ";


    return 0;
}

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