Submission #729736

#TimeUsernameProblemLanguageResultExecution timeMemory
729736_callmelucianLamps (JOI19_lamps)C++14
100 / 100
415 ms74756 KiB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
#define NL "\n"
#define SP " "
#define fmax(a, b) a = max(a, b)
#define fmin(a, b) a = min(a, b)
#define all(v) v.begin(), v.end()

const int mn = 1e6 + 1;
int dp[mn][3][2][3];
bool A[mn], B[mn];

int cost1 (int a, int b) {
    if (b == 0 || a == b) return 0;
    return 1;
}

int cost2 (int a, int b) {
    if (b == 2 || a == b) return 0;
    return 1;
}

void update (int i, int j, int k, int l) {
    for (int j2 = 0; j2 < 3; j2++) {
        for (int k2 = 0; k2 < 2; k2++) {
            for (int l2 = 0; l2 < 3; l2++) {
                if (dp[i - 1][j2][k2][l2] == INT_MAX) continue;
                dp[i][j][k][l] = min(dp[i][j][k][l], dp[i - 1][j2][k2][l2] + cost2(j2, j) + cost1(k2, k) + cost2(l2, l));
            }
        }
    }
    return;
}

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

    int n; cin >> n;
    for (int i = 1; i <= n; i++) {
        char c; cin >> c;
        if (c == '1') A[i] = 1;
    }
    for (int i = 1; i <= n; i++) {
        char c; cin >> c;
        if (c == '1') B[i] = 1;
    }

    for (int i = 0; i <= n; i++) {
        for (int j = 0; j < 3; j++) {
            for (int k = 0; k < 2; k++) {
                for (int l = 0; l < 3; l++) dp[i][j][k][l] = INT_MAX;
            }
        }
    }
    dp[0][2][0][2] = 0;
    for (int i = 1; i <= n; i++) {
        // xor
        update(i, !B[i], 1, 2);
        update(i, 0, 1, B[i]);
        update(i, 1, 1, B[i]);
        update(i, 2, 1, B[i]);
        if (A[i] != B[i]) update(i, 2, 1, 2);

        // not xor
        update(i, B[i], 0, 2);
        update(i, 0, 0, B[i]);
        update(i, 1, 1, B[i]);
        update(i, 2, 1, B[i]);
        if (A[i] == B[i]) update(i, 2, 0, 2);
    }

    int ans = INT_MAX;
    for (int j = 0; j < 3; j++) {
        for (int k = 0; k < 2; k++) {
            for (int l = 0; l < 3; l++) ans = min(ans, dp[n][j][k][l]);
        }
    }
    cout << ans;

    return 0;
}
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