Codeforces Round #715 (Div. 2)

A - Average Height

int main() {
    IOS;
    for (cin >> _; _; --_) {
        cin >> n; VI a[2];
        rep (i, 1, n) cin >> m, a[m & 1].pb(m);
        if (a[0].size() < a[1].size()) swap(a[1], a[0]);
        for (auto &i : a[0]) cout << i << ' ';
        for (auto &i : a[1]) cout << i << ' '; cout << '\n';
    }
    return 0;
}

B - TMT Document

int main() {
    IOS;
    for (cin >> _; _; --_) {
        cin >> n >> s + 1; int x = 0, y = 0, z = 0;
        rep (i, 1, n) {
            if (s[i] == 'T') {
                if (y) --y, ++z;
                else ++x;
            } else {
                if (x) --x, ++y;
                else --z, y += 2;
            }
            if (z < 0) break;
        }
        cout << (z >= 0 && x == 0 && y == 0 ? "YES\n" : "NO\n");
    }
    return 0;
}

C - The Sports Festival

经典的区间dp

ll f[N][N];
 
int main() {
    IOS; cin >> n; memset(f, 0x3f, sizeof f);
    rep (i, 1, n) cin >> a[i], f[i][i] = 0; sort(a + 1, a + 1 + n);
    rep (l, 2, n) rep (i, 1, n - l + 1)
        f[i][i + l - 1] = min(f[i][i + l - 2], f[i + 1][i + l - 1]) + a[i + l - 1] - a[i];
    cout << f[1][n];
    return 0;
}

D - Binary Literature

让某两个串公用\(n\)个\(0\) or \(1\) 即可

pair<int, string> a[3];
 
int main() {
    IOS;
    for (cin >> _; _; --_) {
        cin >> n >> a[0].se >> a[1].se >> a[2].se;
        a[0].fi = a[1].fi = a[2].fi = 0;
        rep (i, 1, n * 2) rep (j, 0, 2) a[j].fi += a[j].se[i] == '1';
        sort(a, a + 3, [](pair<int, string>& a, pair<int, string>& b) { return a.fi < b.fi; });
        char c = '1'; string t;
        if (a[1].fi < n) swap(a[0], a[2]), c = '0';
        int i, j;
        for (i = 0, j = 0; max(i, j) < 2 * n; t += c, ++i, ++j) {
            while (i < a[1].se.size() && a[1].se[i] != c) t += a[1].se[i++];
            while (j < a[2].se.size() && a[2].se[j] != c) t += a[2].se[j++];
        }
        while (i < 2 * n) t += a[1].se[i++];
        while (j < 2 * n) t += a[2].se[j++];
        while (t.size() < 3 * n) t += c;
        if (t.size() > 3 * n) t.pop_back();
        cout << t << '\n';
    }
    return 0;
}

E - Almost Sorted

设\(a(n)\)表示长度为\(n\)的序列有几种排列

显然\(a(0) = a(1) = 1\)

注意到, 我们只能反转连续的一段, 毕竟要约束\(a_i + 1 \leqslant a_{i + 1}\)

故\(a(n) = \sum_i^{n - 1} a(i)\) 即 \(a(n) = 2^n\)

爆精度? \(k <= 1e18\) 求道某个\(a(n) >= 1e18\) 不就好了

然后就是找位置即可

int main() {
    IOS; a[1] = a[0] = 1;
    rep(i, 2, 1e5) {
        a[i] = a[i - 1] << 1;
        if (a[i] <= 0 || a[i] >= 1e18) break;
    }
    for (cin >> _; _; --_) {
        ll k; cin >> n >> k; set<int> st;
        if (a[n] > 0 && k > a[n]) { cout << "-1\n"; continue; }
        rep(i, 1, n) st.insert(i);
        per(i, n, 1) {
            if (a[i - 1] <= 0 || a[i - 1] >= k) cout << *st.begin() << ' ', st.erase(st.begin());
            else {
                int l = *st.begin(), r = l;
                while (a[i - 1] < k) 
                    k -= a[i-- - 1], ++r;
                per(i, r, l) cout << i << ' ', st.erase(st.begin());
            }
        }
        cout << '\n';
    }
    return 0;
}