Submission #689377

#TimeUsernameProblemLanguageResultExecution timeMemory
689377Matteo_VerzBigger segments (IZhO19_segments)C++17
13 / 100
4 ms2516 KiB
#include <bits/stdc++.h>
#ifdef BLAT
    #include "debug/debug.hpp"
#else
    #define debug(x...)
#endif

using namespace std;

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int n;
    cin >> n;

    vector <int> v(1 + n);
    vector <long long> sp(1 + n);
    vector <vector <int>> dp(1 + n, vector <int>(1 + n, -1));

    int lastjump = 1;
    for (int i = 1; i <= n; i++) {
        cin >> v[i];
        sp[i] = sp[i - 1] + v[i];

        dp[i][1] = 0;
        int cp = lastjump;
        for (int jumps = 2; jumps <= n; jumps++) {
            int st = 1, dr = i - 1;
            while (st <= dr) {
                int mid = (st + dr) >> 1;
                if (dp[mid][jumps -1] == -1) st = mid + 1;
                else if (sp[i] - sp[mid] >= sp[mid] - sp[dp[mid][jumps - 1]]) {
                    dp[i][jumps] = mid;
                    st = mid + 1;
                } else dr = mid - 1;
            }
            /*for (int j = 1; j < i; j++) {
                if (dp[j][jumps - 1] != -1 && sp[i] - sp[j] >= sp[j] - sp[dp[j][jumps - 1]]) {
                    dp[i][jumps] = j;
                    cp = max(cp, jumps);
                }
            }*/
        }

        lastjump = cp;
    }

    for (int i = 1; i <= n; i++)
        for (int j = 1; j <= n; j++) {
            // cerr << dp[i][j] << '\t';
            assert(dp[i][j] >= dp[i - 1][j]);
        }
    int maxjumps = 1;
    for (int i = 1; i <= n; i++)
        if (dp[n][i] != -1)
            maxjumps = max(maxjumps, i);
    
    cout << maxjumps << '\n';
    
    return 0;
}
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