Submission #538609

#	Time	Username	Problem	Language	Result	Execution time	Memory
538609		alextodoran	Popeala (CEOI16_popeala)	C++17	100 / 100	1605 ms	70764 KiB

popeala

/**
 ____ ____ ____ ____ ____
||a |||t |||o |||d |||o ||
||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|

**/

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int T_MAX = 20000;
const int N_MAX = 50;
const int S_MAX = 50;
const int BITS = 15;

int T, N, S;
int points[T_MAX + 2];
bool solved[N_MAX + 2][T_MAX + 2];

int pref[T_MAX + 2];
int streak[T_MAX + 2][N_MAX + 2];

int minSum[S_MAX + 2][T_MAX + 2];

int lg2[T_MAX + 2];
int rmin[N_MAX + 2][T_MAX + 2][BITS];
void build (int k, int arr[]) {
    for (int t = 0; t <= T; t++) {
        rmin[k][t][0] = arr[t];
    }
    for (int b = 1; b < BITS; b++) {
        for (int t = 0; t + (1 << b) - 1 <= T; t++) {
            rmin[k][t][b] = min(rmin[k][t][b - 1], rmin[k][t + (1 << (b - 1))][b - 1]);
        }
    }
}
int query (int k, int l, int r) {
    int b = lg2[r - l + 1];
    return min(rmin[k][l][b], rmin[k][r - (1 << b) + 1][b]);
}

int arr[T_MAX + 2];

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

    cin >> N >> T >> S;
    for (int t = 1; t <= T; t++) {
        cin >> points[t];
        pref[t] = pref[t - 1] + points[t];
    }
    for (int i = 1; i <= N; i++) {
        string str;
        cin >> str;
        for (int t = 1; t <= T; t++) {
            solved[i][t] = (str[t - 1] == '1');
        }
    }
    for (int t = 1; t <= T; t++) {
        for (int i = 1; i <= N; i++) {
            streak[t][i] = (solved[i][t] == true ? streak[t - 1][i] + 1 : 0);
        }
    }
    for (int t = 1; t <= T; t++) {
        for (int i = 1; i <= N; i++) {
            streak[t][i] = t - streak[t][i] + 1;
        }
        streak[t][0] = 1;
        streak[t][N + 1] = T + 1;
        sort(streak[t] + 0, streak[t] + N + 1);
    }

    for (int x = 1; x <= T; x++) {
        lg2[x] = lg2[x - 1];
        if ((1 << (lg2[x] + 1)) <= x) {
            lg2[x]++;
        }
    }

    for (int t = 1; t <= T; t++) {
        minSum[0][t] = INT_MAX;
    }
    for (int s = 1; s <= S; s++) {
        for (int k = 0; k <= N; k++) {
            for (int t = 0; t <= T; t++) {
                if (minSum[s - 1][t] < INT_MAX) {
                    arr[t] = minSum[s - 1][t] - pref[t] * k;
                } else {
                    arr[t] = INT_MAX;
                }
            }
            build(k, arr);
        }
        minSum[s][0] = INT_MAX;
        for (int t = 1; t <= T; t++) {
            minSum[s][t] = INT_MAX;
            for (int k = 0; k <= N; k++) {
                int l = streak[t][k], r = min(streak[t][k + 1] - 1, t);
                if (l <= r) {
                    int sum = query(k, l - 1, r - 1);
                    if (sum < INT_MAX) {
                        minSum[s][t] = min(minSum[s][t], sum + pref[t] * k);
                    }
                }
            }
        }
        cout << minSum[s][T] << "\n";
    }

    return 0;
}

• Subtask 1: 8 / 8
• Subtask 2: 9 / 9
• Subtask 3: 9 / 9
• Subtask 4: 74 / 74