「CF1286A」Garland

Posted 2020-12-12 zsbzsb

传送门

考虑 ( ext{DP})，设 (dp_{i, j, k, 0 / 1}) 表示 (dp) 完前 (i) 位，补了 (j) 个偶数，(k) 个奇数，第 (i) 个位置填的是偶/奇（(0/1)）的最小答案。

具体怎么转移看代码就好了，浅显易懂（（（

参考代码：

#include <cstring>
#include <cstdio>

const int _ = 102;

int n, a[_], cnt[2], dp[_][_][_][2];

int min(int a, int b) { return a < b ? a : b; }

void chkmin(int& a, int b) { a = min(a, b); }

int main() {
#ifndef ONLINE_JUDGE
    freopen("cpp.in", "r", stdin), freopen("cpp.out", "w", stdout);
#endif
    scanf("%d", &n);
    for (int i = 1; i <= n; ++i) scanf("%d", a + i);
    cnt[0] = n / 2, cnt[1] = (n + 1) / 2;
    for (int i = 1; i <= n; ++i)
        if (a[i] == 0) a[i] = -1; else --cnt[a[i] &= 1];
    memset(dp, 0x3f, sizeof dp);
    if (a[1] != -1)
        dp[1][cnt[0]][cnt[1]][a[1]] = 0;
    else {
        if (cnt[0] > 0) dp[1][cnt[0] - 1][cnt[1]][0] = 0;
        if (cnt[1] > 0) dp[1][cnt[0]][cnt[1] - 1][1] = 0;
    }
    for (int i = 2; i <= n; ++i) {
        if (a[i] != -1) {
            for (int j = 0; j <= cnt[0]; ++j)
                for (int k = 0; k <= cnt[1]; ++k) {
                    chkmin(dp[i][j][k][a[i]], dp[i - 1][j][k][0] + (a[i] != 0));
                    chkmin(dp[i][j][k][a[i]], dp[i - 1][j][k][1] + (a[i] != 1));
                }
        } else {
            for (int j = 0; j <= cnt[0]; ++j)
                for (int k = 0; k <= cnt[1]; ++k) {
                    chkmin(dp[i][j][k][0], dp[i - 1][j + 1][k][0]);
                    chkmin(dp[i][j][k][0], dp[i - 1][j + 1][k][1] + 1);
                    chkmin(dp[i][j][k][1], dp[i - 1][j][k + 1][1]);
                    chkmin(dp[i][j][k][1], dp[i - 1][j][k + 1][0] + 1);
                }
        }
    }
    printf("%d
", min(dp[n][0][0][0], dp[n][0][0][1]));
    return 0;
}